COMPRESS Pressure Vessel Design Calculations

Item: V-1003
Vessel No: PRODUCE WATER DEGASSER
Customer: Pak Arab
Designer: MI
Date: Saturday, February 22, 2025
 Table of Contents
Revision History 1

Deficiencies Summary 2

General Arrangement Drawing 3

Settings Summary 4

Pressure Summary 6

Radiography Summary 8

Thickness Summary 10

Nozzle Schedule 11

Nozzle Summary 12

Weight Summary 13

Hydrostatic Test 14

Liquid Level bounded by Ellipsoidal Head-Bottom 16

Vacuum Summary 17

Out-Of-Roundness Summary 18

Foundation Load Summary 19

Bill of Materials 20

Cylinder #1 22

Cylinder #2 43

Ellipsoidal Head-Top 64

Straight Flange on Ellipsoidal Head-Top 67

Straight Flange on Ellipsoidal Head-Bottom 85

Ellipsoidal Head-Bottom 105

Gas Outlet (N1) 108

Level Bridle (N2A) 133

Level bridle (N2 B) 143

Liquid Outlet (N3) 153

Nozzle Pipe #1 (N3) 177

B16.9 Elbow #1 (N3) 180

Level Indicator Transimitter (N4 A) 182

Level Indicator Transimitter (N4 B) 192

Produced Water Inlet (N5) 202

Pressure Safety Valve (N6) 225

Pressure Indicator (N7) 235

ManWay (M1) 245

Manhole Cover 265

Support Skirt #1 268

Skirt Base Ring #1 274

Seismic Code 288

Wind Code 291

Skirt Opening #1 (SO #1) 293

Ear lug 305

Tail lug 318

 Revision History
Revisions

No. Date Operator Notes

0 11/28/2024 SOFTWARE New vessel created ASME Section VIII Division 1 [COMPRESS 2024 Build 8400]
1 12/ 3/2024 SOFTWARE Standard Lugs are replaced with Ear Type lugs alongwith a tailing lug at skirt.
2 12/12/2024 SOFTWARE Nozzle loads applied as per provided values by client.
1- Manhole Location from Top seam is reduced.1 2- Orinetation of Ear Lugs in changed. 3- Manhole
3 12/26/2024 SOFTWARE
cover calculations as per UG-34 performed.
4 2/22/2025 SOFTWARE Revised as per AS-BUILT DWG.

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 Deficiencies Summary
Deficiencies for Seismic Code
ASME VIII-1, 2023 Edition Table U-3 states that the 2022 edition of ASCE/SEI 7 should be used. Current seismic code selection is UBC
1997 Ground Supported.

Deficiencies for Wind Code

ASME VIII-1, 2023 Edition Table U-3 states that the 2022 edition of ASCE/SEI 7 should be used. Current wind code selection is UBC
1997.

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General Arrangement Drawing

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 Settings Summary
COMPRESS 2025 Build 8500
ASME Section VIII Division 1, 2023 Edition Metric
Units SI
Datum Line Location 0.00 mm from bottom seam
Vessel Design Mode Design Mode
Minimum thickness 1.5 mm per UG-16(b)
Design for cold shut down only No
Design for lethal service (full radiography required) No
User has limited MAWP to 0.3447 MPa
Design nozzles for Design P only
Corrosion weight loss 100% of theoretical loss
UG-23 Stress Increase 1.20
Skirt/legs stress increase 1.0
Minimum nozzle projection 150 mm
Juncture calculations for a > 30 only Yes
Preheat P-No 1 Materials > 1.25" and <= 1.50" thick No
UG-37(a) shell tr calculation considers longitudinal stress No
Cylindrical shells made from pipe are entered as minimum thickness No
Nozzles made from pipe are entered as minimum thickness No
ASME B16.9 fittings are entered as minimum thickness No
Butt welds Tapered per Figure UCS-66.3(a)
Disallow Appendix 1-5, 1-8 calculations under 15 psi No
Hydro/Pneumatic Test
Shop Hydrotest Pressure 1.3 times vessel MAWP [UG-99(b)]
Test liquid specific gravity 1.00
Maximum stress during test 90% of yield
Required Marking - UG-116
UG-116(e) Radiography RT1
UG-116(f) Postweld heat treatment PHT
Code Cases\Interpretations
Use Appendix 46 No
Use UG-44(b) No
Use Code Case 3035 No
Apply interpretation VIII-1-83-66 Yes
Apply interpretation VIII-1-86-175 Yes
Apply interpretation VIII-1-01-37 Yes
Apply interpretation VIII-1-01-150 Yes
Apply interpretation VIII-1-07-50 Yes
Apply interpretation VIII-1-16-85 Yes
No UCS-66.1 MDMT reduction No
No UCS-68(c) MDMT reduction No
Disallow UG-20(f) exemptions No
UG-22 Loadings
UG-22(a) Internal or External Design Pressure Yes
UG-22(b) Weight of the vessel and normal contents under operating or test conditions Yes

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UG-22(c) Superimposed static reactions from weight of attached equipment (external loads) No
UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs Yes
UG-22(f) Wind reactions Yes
UG-22(f) Seismic reactions Yes
UG-22(j) Test pressure and coincident static head acting during the test: Yes
Note: UG-22(b),(c) and (f) loads only considered when supports are present.
Note 2: UG-22(d)(1),(e),(f)-snow,(g),(h),(i) are not considered. If these loads are present, additional calculations must be performed.

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 Pressure Summary
Component Summary

P T Te
MAWP MAEP MDMT MDMT Impact
Identifier Design Design external
(MPa) (MPa) (°C) Exemption Tested
(MPa) (°C) (°C)

Ellipsoidal Head-Top 0.3447 121.11 1.4988 0.4668 33 -105 Note 1 No

Straight Flange on Ellipsoidal Head-Top 0.3447 121.11 3.1644 0.7307 33 -105 Note 2 No

Cylinder #2 0.3447 121.11 1.75 0.172 33 -105 Note 3 No

Cylinder #1 0.3447 121.11 1.7353 0.172 33 -105 Note 4 No

Straight Flange on Ellipsoidal Head-Bottom 0.3447 121.11 3.1413 0.7307 33 -105 Note 6 No

Ellipsoidal Head-Bottom 0.3447 121.11 1.4733 0.4668 33 -105 Note 5 No

Nozzle Note 7 No
ManWay (M1) 0.3447 121.11 1.2606 0.1607 33 -48
Pad Note 8 No

Manhole Cover 0.3447 121.11 1.5756 2.3784 33 -105 Note 9 No

Nozzle Note 10 No
Gas Outlet (N1) 0.3447 121.11 0.9106 0.4668 33 -43.94
Pad Note 11 No

Level bridle (N2 B) 0.3447 121.11 0.6143 0.172 33 -48 Note 12 No

Level Bridle (N2A) 0.3447 121.11 0.6262 0.172 33 -48 Note 13 No

Nozzle Note 14 No
Liquid Outlet (N3) 0.3447 121.11 1.6367 0.4668 33 -48
Pad Note 15 No

B16.9 Elbow #1 (N3) 0.3447 121.11 19.3254 12.2766 33 -105 Note 16 No

Nozzle Pipe #1 (N3) 0.3447 121.11 1.6362 12.2766 33 -48 Note 16, 17 No

Level Indicator Transimitter (N4 A) 0.3447 121.11 0.6262 0.172 33 -48 Note 13 No

Level Indicator Transimitter (N4 B) 0.3447 121.11 0.6143 0.172 33 -48 Note 12 No

Nozzle Note 18 No
Produced Water Inlet (N5) 0.3447 121.11 0.6149 0.172 33 -37.61
Pad Note 19 No

Pressure Safety Valve (N6) 0.3447 121.11 0.6182 0.172 33 -48 Note 20 No

Pressure Indicator (N7) 0.3447 121.11 0.634 0.172 33 -48 Note 21 No

Chamber Summary

Design MDMT -28.89 °C

Rated MDMT -37.61 °C @ 0.3447 MPa

MAWP hot & corroded 0.3447 MPa @ 121.11 °C

MAEP 0.1607 MPa @ 33 °C

(1) The MAWP is limited due to the MAWP limit set in the Calculations tab of the Set Mode dialog.

Notes for Maximum Pressure Rating

Note # Details

1. Option to calculate MAP was not selected. See the Calculation->General tab of the Set Mode dialog.

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 Notes for MDMT Rating

Note # Exemption Details

1. Straight Flange governs MDMT

2. Material is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.1148)

3. Material is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.211)

4. Material is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.2192)

5. Straight Flange governs MDMT

6. Material is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.122)

Flange rating governs:

7. Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.191)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

8. Pad is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.2097).

9. Bolted cover is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.2342)

Flange rating governs:

10. Flange rated MDMT per UCS-66(b)(1)(b) = -43.94°C (UCS-68(c) applies, Coincident ratio = 0.845)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

11. Pad is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.2179).

Flange rating governs:

12. Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.2002)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

Flange rating governs:

13. Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1941)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

Nozzle impact test exemption temperature from Fig UCS-66M Curve B = -29°C
17°C MDMT reduction per UCS-68(c) applies.
14. UCS-66 governing thickness = 7.65 mm.
Fig UCS-66.1M MDMT reduction = 30.9°C, (coincident ratio = 0.5072)
Rated MDMT of -76.9°C is limited to -48°C by UCS-66(b)(2)

15. Pad is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.2349).

16. Material is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.0219)

Flange rating governs:

17. Bolts rated MDMT per Fig UCS-66 note (c) = -48°C
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.2032)

Flange rating governs:

18. Flange rated MDMT per UCS-66(b)(1)(b) = -37.61°C (Coincident ratio = 0.6494)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

19. Pad is impact test exempt to -105°C per UCS-66(b)(3) (coincident ratio = 0.2098).

Flange rating governs:

20. Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1902)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

Flange rating governs:

21. Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1901)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

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 Radiography Summary
UG-116 Radiography

Longitudinal Seam Top Circumferential Seam Bottom Circumferential Seam

Component Category Category Category

Radiography / Radiography / Joint Radiography / Joint Mark
(Fig UW- (Fig UW- (Fig UW-
Joint Type Type Type
3) 3) 3)

Full UW-11(a) / Type

Ellipsoidal Head-Top N/A Seamless No RT N/A N/A B RT1
1

Full UW-11(a) / Full UW-11(a) / Type Full UW-11(a) / Type

Cylinder #2 A B B RT1
Type 1 1 1

Manhole Cover N/A Seamless No RT N/A N/A / Gasketed N/A N/A N/A

Full UW-11(a) / Full UW-11(a) / Type Full UW-11(a) / Type

Cylinder #1 A B B RT1
Type 1 1 1

Full UW-11(a) / Type

Ellipsoidal Head-Bottom N/A Seamless No RT B N/A N/A RT1
1

Nozzle to Vessel Nozzle free end

Nozzle Longitudinal Seam
Circumferential Seam Circumferential Seam

UW-11(a)(4) exempt /
Gas Outlet (N1) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

Full UW-11(a) / Full UW-11(a) / Type

ManWay (M1) A D N/A / Type 7 C RT1
Type 1 1

UW-11(a)(4) exempt /
Pressure Safety Valve (N6) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Produced Water Inlet (N5) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Pressure Indicator (N7) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Level bridle (N2 B) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Level Bridle (N2A) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Level Indicator Transimitter (N4 A) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Level Indicator Transimitter (N4 B) N/A Seamless No RT D N/A / Type 7 C N/A
Type 1

UW-11(a)(4) exempt /
Liquid Outlet (N3) N/A Seamless No RT D N/A / Type 7 B N/A
Type 1

UW-11(a)(4) exempt / UW-11(a)(4) exempt /

B16.9 Elbow #1 (N3) N/A Seamless No RT B B N/A
Type 1 Type 1

UW-11(a)(4) exempt / UW-11(a)(4) exempt /

Nozzle Pipe #1 (N3) N/A Seamless No RT B C N/A
Type 1 Type 1

Nozzle to Flange
Nozzle Flange Longitudinal Seam Flange Face
Circumferential Seam

UW-11(a)(4) exempt /
ASME B16.5/16.47 flange attached to Gas Outlet (N1) N/A Seamless No RT N/A N/A / Gasketed C N/A
Type 1

Full UW-11(a) / Type

ASME B16.5/16.47 flange attached to ManWay (M1) N/A Seamless No RT N/A N/A / Gasketed C RT1
1

ASME B16.5/16.47 flange attached to Pressure Safety UW-11(a)(4) exempt /

N/A Seamless No RT N/A N/A / Gasketed C N/A
Valve (N6) Type 1

ASME B16.5/16.47 flange attached to Produced Water UW-11(a)(4) exempt /

N/A Seamless No RT N/A N/A / Gasketed C N/A
Inlet (N5) Type 1

ASME B16.5/16.47 flange attached to Pressure Indicator UW-11(a)(4) exempt /

N/A Seamless No RT N/A N/A / Gasketed C N/A
(N7) Type 1

UW-11(a)(4) exempt /
ASME B16.5/16.47 flange attached to Level bridle (N2 B) N/A Seamless No RT N/A N/A / Gasketed C N/A
Type 1

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 UW-11(a)(4) exempt /
ASME B16.5/16.47 flange attached to Level Bridle (N2A) N/A Seamless No RT N/A N/A / Gasketed C N/A
Type 1

ASME B16.5/16.47 flange attached to Level Indicator UW-11(a)(4) exempt /

N/A Seamless No RT N/A N/A / Gasketed C N/A
Transimitter (N4 A) Type 1

ASME B16.5/16.47 flange attached to Level Indicator UW-11(a)(4) exempt /

N/A Seamless No RT N/A N/A / Gasketed C N/A
Transimitter (N4 B) Type 1

ASME B16.5/16.47 flange attached to right end of UW-11(a)(4) exempt /

N/A Seamless No RT N/A N/A / Gasketed C N/A
Nozzle Pipe #1 (N3) Type 1

UG-116(e) Required Marking: RT1

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 Thickness Summary
Component Data

Component Diameter Length Nominal t Design t Total Corrosion Joint

Material Load
Identifier (mm) (mm) (mm) (mm) (mm) E

Ellipsoidal Head-Top SA-516 70 762 ID 197.7 7.2* 4.96 3 1.00 External

Straight Flange on Ellipsoidal Head-Top SA-516 70 762 ID 50 12 7.06 3 1.00 External

Cylinder #2 SA-516 70 762 ID 800 8 7.03 3 1.00 External

Cylinder #1 SA-516 70 762 ID 1,504 8 7.03 3 1.00 External

Straight Flange on Ellipsoidal Head-Bottom SA-516 70 762 ID 50 12 7.06 3 1.00 External

Ellipsoidal Head-Bottom SA-516 70 762 ID 197.7 7.2* 4.96 3 1.00 External

Manhole Cover SA-105 635 OD 39.6 39.6 35.65 3 1.00 External

Support Skirt #1 SA-516 70 785.4 OD 699 8 3.24 3 0.55 Seismic

*Head minimum thickness after forming

Definitions

Nominal t Vessel wall nominal thickness

Design t Required vessel thickness due to governing loading + corrosion

Joint E Longitudinal seam joint efficiency

Load

Internal Circumferential stress due to internal pressure governs

External External pressure governs

Wind Combined longitudinal stress of pressure + weight + wind governs

Seismic Combined longitudinal stress of pressure + weight + seismic governs

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 Nozzle Schedule
Specifications

Nozzle Impact
Identifier Size Materials Normalized Fine Grain Flange Blind
mark Tested

Nozzle SA-516 70 No No Yes NPS 18 Class 150

M1 ManWay 457.2 OD x 8 SA-105
Pad SA-516 70 No No Yes WN A105

Nozzle SA-106 B Smls Pipe No No No NPS 2 Class 600

N1 Gas Outlet NPS 2 Sch 160 DN 50 No
Pad SA-516 70 No No Yes WN A105

NPS 2 Class 150

N2 B Level bridle NPS 2 Sch 80 (XS) DN 50 Nozzle SA-106 B Smls Pipe No No No No
WN A105

NPS 2 Class 150

N2A Level Bridle NPS 2 Sch 80 (XS) DN 50 Nozzle SA-106 B Smls Pipe No No No No
WN A105

Nozzle SA-106 B Smls Pipe No No No

Liquid Outlet NPS 2 Sch 160 DN 50 N/A No
Pad SA-516 70 No No Yes
N3 B16.9 Elbow #1 (N3) NPS 2 Sch 160 DN 50 B16.9 Elbow SA-234 WPB No No No N/A No

NPS 2 Class 150

Nozzle Pipe #1 (N3) NPS 2 Sch 160 DN 50 Nozzle Pipe SA-106 B Smls Pipe No No No No
WN A105

NPS 2 Class 150

N4 A Level Indicator Transimitter NPS 2 Sch 80 (XS) DN 50 Nozzle SA-106 B Smls Pipe No No No No
WN A105

NPS 2 Class 150

N4 B Level Indicator Transimitter NPS 2 Sch 80 (XS) DN 50 Nozzle SA-106 B Smls Pipe No No No No
WN A105

Nozzle SA-106 B Smls Pipe No No No NPS 3 Class 300

N5 Produced Water Inlet NPS 3 Sch 40 (Std) DN 80 No
Pad SA-516 70 No No Yes WN A105

NPS 3 Class 150

N6 Pressure Safety Valve NPS 3 Sch 40 (Std) DN 80 Nozzle SA-106 B Smls Pipe No No No No
WN A105

NPS 2 Class 150

N7 Pressure Indicator NPS 2 Sch 80 (XS) DN 50 Nozzle SA-106 B Smls Pipe No No No No
WN A105

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 Nozzle Summary
Dimensions

Reinforcement
Shell
tn Req tn Pad Aa/Ar
Nozzle OD Corr
A1? A2?
mark (mm) (mm) (mm) Nom t Design t User t Width tpad (mm) (%)
(mm) (mm) (mm) (mm) (mm)

M1 457.2 8 5.1 Yes Yes 8 6.61 50 8 3 100.0

N1 60.33 8.74 6.37 Yes Yes 7.2* N/A 30 12 3 Exempt

N2 B 60.33 5.54 5.54 Yes Yes 8 N/A N/A N/A 3 Exempt

N2A 60.33 5.54 5.54 Yes Yes 8 N/A N/A N/A 3 Exempt

N3 60.33 8.74 7.34 Yes Yes 7.2* N/A 50 8 3 Exempt

N4 A 60.33 5.54 5.54 Yes Yes 8 N/A N/A N/A 3 Exempt

N4 B 60.33 5.54 5.54 Yes Yes 8 N/A N/A N/A 3 Exempt

N5 88.9 5.49 5.49 Yes Yes 8 N/A 50 8 3 Exempt

N6 88.9 5.49 5.49 Yes Yes 8 N/A N/A N/A 3 Exempt

N7 60.33 5.54 5.54 Yes Yes 8 N/A N/A N/A 3 Exempt

*Head minimum thickness after forming

Definitions

tn Nozzle thickness

Nozzle thickness required per UG-45/UG-16

Req tn
Increased for pipe to account for 12.5% pipe thickness tolerance

Nom t Vessel wall thickness

Design t Required vessel wall thickness due to pressure + corrosion allowance per UG-37

User t Local vessel wall thickness (near opening)

Aa Area available per UG-37, governing condition

Ar Area required per UG-37, governing condition

Corr Corrosion allowance on nozzle wall

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 Weight Summary
Weight (kg) Contributed by Vessel Elements

Metal Metal Insulation Piping Operating Liquid Test Liquid Surface Area
Component Insulation Lining
New* Corroded Supports + Liquid New Corroded New Corroded m2

Ellipsoidal Head-Top 49.9 31.3 0 0 0 0 80.8 83 80.8 83 0.85

Cylinder #2 110 69.1 0 0 0 0 374.8 380.9 374.8 380.9 1.78

Cylinder #1 227.3 142.7 0 0 0 0 686 697 686 697 3.66

Ellipsoidal Head-Bottom 49.9 31.3 0 0 0 0 81.6 84.1 81.6 84.1 0.85

Support Skirt #1 104.8 65.8 0 0 0 0 0 0 0 0 3.45

Skirt Base Ring #1 34.9 34.9 0 0 0 0 0 0 0 0 0.75

TOTAL: 576.8 375 0 0 0 0 1,223.1 1,245 1,223.1 1,245 11.33

*Shells with attached nozzles have weight reduced by material cut out for opening.

Weight (kg) Contributed by Attachments

Nozzles &
Body Flanges Packed Ladders & Tray Rings & Vertical Surface Area
Component Flanges Trays
Beds Platforms Supports Clips Loads m2
New Corroded New Corroded

Ellipsoidal Head-Top 0 0 7.1 6.8 0 0 0 0 0 0 0.07

Cylinder #2 0 0 202.2 188.4 0 0 0 0 20.6 0 1.3

Cylinder #1 0 0 13.7 12.2 0 0 0 0 0 0 0.24

Ellipsoidal Head-Bottom 0 0 11.3 9 0 0 0 0 0 0 0.16

Support Skirt #1 0 0 1.8 1.8 0 0 0 0 4.6 0 0.07

TOTAL: 0 0 236.2 218.2 0 0 0 0 25.2 0 1.84

Vessel Totals

New Corroded

Operating Weight (kg) 2,061 1,863

Empty Weight (kg) 838 618

Test Weight (kg) 2,063 1,865

Surface Area (m2) 13.17 -

Capacity** (liters) 1,212 1,233

**The vessel capacity does not include volume of nozzle, piping or other attachments.

Vessel Lift Condition

Vessel Lift Weight, New (kg) 838

Center of Gravity from Datum (mm) 1,064.65

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 Hydrostatic Test
Horizontal shop hydrostatic test based on MAWP per UG-99(b)

Gauge pressure at 21.11°C = 1.3 ⋅ M AW P ⋅ LSR

= 1.3 ⋅ 0.3447 ⋅ 1

=0.4482 MPa

Horizontal shop hydrostatic test

Local test Test liquid UG-99(b) UG-99(b) Stress Allowable
Stress
Identifier pressure static head stress pressure during test test stress
excessive?
(MPa) (MPa) ratio factor (MPa) (MPa)
Ellipsoidal Head-Top (1) 0.4572 0.009 1 1.30 21.773 235.8 No

Straight Flange on Ellipsoidal Head-Top 0.4572 0.009 1 1.30 14.743 235.8 No

Cylinder #2 0.4572 0.009 1 1.30 22.001 235.8 No

Cylinder #1 0.4572 0.009 1 1.30 22.001 235.8 No

Straight Flange on Ellipsoidal Head-Bottom 0.4572 0.009 1 1.30 14.743 235.8 No

Ellipsoidal Head-Bottom 0.4572 0.009 1 1.30 21.773 235.8 No

Manhole Cover 0.4592 0.0111 1 1.30 33.68 334.8 No

B16.9 Elbow #1 (N3) 0.4537 0.0055 1 1.30 1.487 216.9 No

Gas Outlet (N1) 0.4537 0.0055 1 1.30 13.971 353.7 No

Level Bridle (N2A) 0.4496 0.0015 1 1.30 31.38 353.7 No

Level Indicator Transimitter (N4 A) 0.4537 0.0055 1 1.30 31.663 353.7 No

Level Indicator Transimitter (N4 B) 0.4537 0.0055 1 1.30 31.663 353.7 No

Level bridle (N2 B) 0.4496 0.0015 1 1.30 31.38 353.7 No

Liquid Outlet (N3) 0.4537 0.0055 1 1.30 15.694 353.7 No

ManWay (M1) 0.4592 0.0111 1 1.30 63.823 353.7 No

Nozzle Pipe #1 (N3) 0.4537 0.0055 1 1.30 1.487 216.9 No

Pressure Indicator (N7) 0.4537 0.0055 1 1.30 31.663 353.7 No

Pressure Safety Valve (N6) 0.4538 0.0057 1 1.30 38.809 353.7 No

Produced Water Inlet (N5) 0.4538 0.0057 1 1.30 23.02 353.7 No

(1) Ellipsoidal Head-Top limits the UG-99(b) stress ratio.

(2) PL stresses at nozzle openings have been estimated using the method described in Division 2 Part 4.5.
(3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL.
(4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange.
(5) UG-99(l): Custom flange assemblies shall be tested with gaskets having identical geometries and gasket factors,
and bolting having identical allowable stress at room temperature as used in the design calculations.

The field test condition has not been investigated.

The test temperature of 21.11 °C is warmer than the minimum recommended temperature of -11 °C so the brittle fracture provision of
UG-99(h) has been met.

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 Horizontal shop hydrostatic test - Minimum test temperature
Base Rated tr MDMT Rated Minimum Test
Identifier Exempt per UG-20(f) MDMT Ratio Reduction MDMT Temperature
(°C) (mm) (°C) (°C) (°C)
Ellipsoidal Head-Top No -46 0.98 0.1357 ... -105 -88

Straight Flange on Ellipsoidal Head-Top No -46 0.98 0.0815 ... -105 -88

Cylinder #2 No -29 0.98 0.1223 ... -105 -88

Cylinder #1 No -29 0.98 0.1223 ... -105 -88

Straight Flange on Ellipsoidal Head-Bottom No -46 0.98 0.0815 ... -105 -88

Ellipsoidal Head-Bottom No -46 0.98 0.1357 ... -105 -88

Manhole Cover No -28 ... 1 ... -28 -11

B16.9 Elbow #1 (N3) No -29 0.09 0.0117 ... -105 -88

Gas Outlet (N1) No -46 0.98 0.1357 ... -105 -88

Level Bridle (N2A) No -105 0.07 0.0149 ... -105 -88

Level Indicator Transimitter (N4 A) No -105 0.07 0.0151 ... -105 -88

Level Indicator Transimitter (N4 B) No -105 0.07 0.0151 ... -105 -88

Level bridle (N2 B) No -105 0.07 0.0149 ... -105 -88

Liquid Outlet (N3) No -46 0.98 0.1357 ... -105 -88

ManWay (M1) No -29 0.57 0.0712 ... -105 -88

Nozzle Pipe #1 (N3) No -29 0.09 0.0117 ... -105 -88

Pressure Indicator (N7) No -105 0.07 0.0151 ... -105 -88

Pressure Safety Valve (N6) No -105 0.12 0.0241 ... -105 -88

Produced Water Inlet (N5) No -48 0.12 0.0241 ... -105 -88

15/328
 Liquid Level bounded by Ellipsoidal Head-Bottom
ASME Section VIII Division 1, 2023 Edition Metric
Location from Datum (mm) 4,969.1
Operating Liquid Specific Gravity 1

16/328
 Vacuum Summary
Largest Unsupported Length Le

Elevation
Length Le
Component Line of Support above Datum
(mm)
(mm)

Ellipsoidal Head-Top - 2,551.7 N/A

- 1/3 depth of Ellipsoidal Head-Top 2,418.5 N/A

Straight Flange on Ellipsoidal Head-Top Top - 2,354 2,533

Straight Flange on Ellipsoidal Head-Top Bottom - 2,304 2,533

Cylinder #2 Top - 2,304 2,533

Cylinder #2 Bottom - 1,504 2,533

Cylinder #1 Top - 1,504 2,533

Cylinder #1 Bottom - 0 2,533

Straight Flange on Ellipsoidal Head-Bottom Top - 0 2,533

Straight Flange on Ellipsoidal Head-Bottom Bottom - -50 2,533

- 1/3 depth of Ellipsoidal Head-Bottom -114.5 N/A

Ellipsoidal Head-Bottom - -247.7 N/A

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 Out-Of-Roundness Summary
Out-Of-Roundness

Diameter Elevation Max. Deviation, e Chord Length, Le

Component
(mm) (mm) (mm) (mm) (mm)

Ellipsoidal Head-Top 776.4 2,418.5 3.24 231.99 686.04

Straight Flange on Ellipsoidal Head-Top 786 2,329 5.52 452.52 2,533

Cylinder #2 778 1,904 4.72 386.32 2,533

Cylinder #1 778 752 4.72 386.32 2,533

Straight Flange on Ellipsoidal Head-Bottom 786 -25 5.52 452.52 2,533

Ellipsoidal Head-Bottom 776.4 -114.5 3.24 231.99 686.04

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 Foundation Load Summary
Skirt Base Ring #1: Total Loading at Base

Base Shear Base Moment Vertical Force

Load Vessel Condition
(N) ( N-m ) (N)

Weight Only (D) Operating, Corroded 0 961.7 18,274.1

Weight Only (D) Operating, New 0 1,029.3 20,214.4

Weight Only (D) Empty, Corroded 0 961.7 6,065

Weight Only (D) Empty, New 0 1,029.3 8,219.8

Weight Only (D) Shop Hydrotest, New 0 1,029.3 20,214.4

Wind Only (W) Operating, Corroded 1,051.1 1,724 0

Wind Only (W) Operating, New 1,051.1 1,724 0

Wind Only (W) Empty, Corroded 1,051.1 1,724 0

Wind Only (W) Empty, New 1,051.1 1,724 0

Wind Only (W) External Pressure, Corroded 1,051.1 1,724 0

Seismic Only (E / 1.4) Operating, Corroded 2,558.4 5,920.9 3,654.8

Seismic Only (E / 1.4) Operating, New 2,830 6,529.6 4,042.9

Seismic Only (E / 1.4) Empty, Corroded 849.1 2,100.5 1,213

Seismic Only (E / 1.4) Empty, New 1,150.8 2,781.1 1,644

Seismic Only (E / 1.4) External Pressure, Corroded 2,558.4 5,920.9 3,654.8

All values reported are service loads for Allowable Stress Design (ASD).

Vertical Force values in the Seismic case include the user defined vertical acceleration factor (compressive) as described in the Seismic
Code report.

Support Information

Support Type Skirt Base Ring

Base Ring Inner Diameter 720 mm

Base Ring Outer Diameter 940 mm

Base Ring Thickness 14 mm

Number of Anchor Bolts 6

Bolt Circle Diameter 889 mm

Bolt Size and Type 1/2" coarse bolt

Bolt Hole Clearance 9.52 mm

Center of Gravity (Distance from Support Base) 1,840.39 mm

19/328
 Bill of Materials

Heads / Covers

Item # Type Material Thk [mm] Dia. [mm] Wt. [kg] (ea.) Qty

H1 Ellipsoidal Head SA-516 70 (FGP) 7.2 (min.) 762 ID 50 2

H2 Bolted Cover SA-105 39.6 635 OD 98.2 1

Shells / Skirts

Item # Type Material Thk [mm] Dia. [mm] Length [mm] Wt. [kg] (ea.) Qty

S1 Cylinder SA-516 70 (FGP) 8 762 ID 800 121.3 1

S2 Cylinder SA-516 70 (FGP) 8 762 ID 1,504 228 1

S3 Support Skirt SA-516 70 (FGP) 8 785.4 OD 685 104.8 1

Base Ring

Item # Type Material Thk [mm] Length [mm] Wt. [kg] Qty

BR1 Base ring - single base plate SA-516 GR 70 (FGP) 14 2,608 31.5 1

Nozzles / Nozzle Piping / Skirt Opening

Item # Type Material NPS Thk [mm] Dia. [mm] Length [mm] Wt. [kg]

P1 Skirt Opening SA-106 B Smls Pipe - 7.11 179 OD 60 0.9

Noz1 Nozzle SA-106 B Smls Pipe NPS 2 Sch 160 DN 50 8.74 60.33 OD 235 4.2

Noz2 Nozzle SA-516 70 (FGP) - 8 457.2 OD 146 17.9

Noz3 Nozzle SA-106 B Smls Pipe NPS 3 Sch 40 (Std) DN 80 5.49 88.9 OD 172 4.8

Noz4 Nozzle SA-106 B Smls Pipe NPS 2 Sch 80 (XS) DN 50 5.54 60.33 OD 478 3.6

P1 Nozzle Pipe SA-106 B Smls Pipe NPS 2 Sch 160 DN 50 8.74 60.33 OD 400 4.4

ASME B16.9 Fittings

Item # Type Material Size [mm] Qty

EB1 B16.9 Elbow Long Radius SA-234 WPB NPS 2 Sch 160 DN 50 1

Flanges

Item # Type Material NPS Dia. [mm] Wt. [kg] (ea.) Qty

AF1 ASME B16.5 Welding Neck - Class 600 A105 2 165.1 x 52.58 5.4 1

AF2 ASME B16.5 Welding Neck - Class 150 A105 18 635 x 441.2 68 1

AF3 ASME B16.5 Welding Neck - Class 150 A105 3 190.5 x 77.98 4.5 1

AF4 ASME B16.5 Welding Neck - Class 300 A105 3 209.55 x 77.98 6.8 1

AF5 ASME B16.5 Welding Neck - Class 150 A105 2 152.4 x 52.58 2.7 6

Gaskets

Item # Type Size [mm] Thk [mm] Qty

G1 Lamons Spiral Wound W 316 SS / Flexible Graphite (ASME B16.20 Spiral Wound) NPS 18 - Class 150 4.45 1

G2 ASME B16.20 Spiral Wound NPS 2 - Class 150 4.45 1

There are 8 flanges that do not include gasket information.

20/328
 Fasteners

Item # Description Material Length [mm] Qty

FB1 5/8" coarse bolt SA-193 B7 Bolt <= 64 108 8

FB2 1-1/8" series 8 bolt SA-193 B7 Bolt <= 64 121 16

FB3 5/8" coarse bolt SA-193 B7 Bolt <= 64 76 4

FB4 3/4" coarse bolt SA-193 B7 Bolt <= 64 89 8

FB5 5/8" coarse bolt SA-193 B7 Bolt <= 64 70 24

SB1 1/2" coarse bolt SA-193 B7 - 6

All listed flange bolts require associated nuts and washers in accordance with Division 1, UCS-11.

Plates

Item # Material Thk [mm] Wt. [kg] Qty [ m²]

Plate1 SA-516 70 (FGP) 12 2.3 0.0114

Plate1 - Note: Applies to nozzle pad

Plate2 SA-516 70 (FGP) 8 58.1 0.29

Plate2 - Note: Applies to nozzle pad

Plate3 SA-516 GR 70 (FGP) 10 3.6 0.0039

Plate3 - Note: Applies to base ring gussets

Plate4 SA-36 20 7.5 0.0481

Plate4 - Note: Applies to lift lug plates

Plate5 SA-36 8 2.3 0.037

Plate5 - Note: Applies to lift lug pad plates

Plate6 A36 20 4 0.0257

Plate6 - Note: Applies to lift lug plates

Plate7 A36 8 0.6 0.009

Plate7 - Note: Applies to lift lug pad plates

21/328
 Cylinder #1

ASME Section VIII Division 1, 2023 Edition Metric

Component Cylinder
Material SA-516 70 (II-D Metric p. 20, ln. 45)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No Yes No No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0487 4,969.1 1
Test horizontal 0.009 920 1
Dimensions
Inner Diameter 762 mm
Length 1,504 mm
Nominal Thickness 8 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 227.27 685.88
Corroded 142.68 696.71
Radiography
Longitudinal seam Full UW-11(a) Type 1
Top Circumferential seam Full UW-11(a) Type 1
Bottom Circumferential seam Full UW-11(a) Type 1

Results Summary
Governing condition External pressure
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 4.09 mm
Design thickness due to external pressure (te) 7.03 mm
Design thickness due to combined loadings + corrosion 3.45 mm
Maximum allowable working pressure (MAWP) 1.7353 MPa
Maximum allowable external pressure (MAEP) 0.172 MPa
Rated MDMT -105 °C

22/328
 UCS-66 Material Toughness Requirements
0.3934 ⋅ 384
tr = = 1.1 mm
138 ⋅ 1 − 0.6 ⋅ 0.3934

tr ⋅ E * 1.1 ⋅ 1
Stress ratio = = = 0.2192
tn − c 8 −3

12.395 ⋅ 1
Stress ratio longitudinal = = 0.0898
138 ⋅ 1
Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

Design thickness, (at 121.11 °C) UG-27(c)(1)

P ⋅R 0.3934 ⋅ 384
t= + Corrosion = + 3 = 4.09 mm
S ⋅ E − 0.60 ⋅ P 138 ⋅ 1.00 − 0.60 ⋅ 0.3934

Maximum allowable working pressure, (at 121.11 °C) UG-27(c)(1)

S ⋅E ⋅t 138 ⋅ 1.00 ⋅ 5
P = − Ps = − 0.0487 = 1.7353 MPa
R + 0.60 ⋅ t 384 + 0.60 ⋅ 5

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2558
Do 778

Do 778
= = 192.8901
t 4.03

From table G: A = 0.000147

From table CS-2 Metric: B = 14.6693 MPa

4⋅B 4 ⋅ 14.6693
Pa = = = 0.1014 MPa
3 ⋅ (Do /t) 3 ⋅ (778/4.03)

Design thickness for external pressure Pa = 0.1014 MPa

ta = t + Corrosion = 4.03 + 3 = 7.03 mm

Maximum Allowable External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2558
Do 778

Do 778
= = 155.5129
t 5

From table G: A = 0.000201

From table CS-2 Metric: B = 20.062 MPa

4⋅B 4 ⋅ 20.062
Pa = = = 0.172 MPa
3 ⋅ (Do /t) 3 ⋅ (778/5)

% Extreme fiber elongation - UCS-79(d)

23/328
 50 ⋅ t Rf 50 ⋅ 8 385
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 1.039 %
Rf Ro 385 ∞

The extreme fiber elongation does not exceed 5%.

External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)

W M 98.03⋅471.1 10000 ⋅ 1,967.2

Pv = + = + = 60.9414 N/cm
2 ⋅ π ⋅ Rm π ⋅ R2m 2 ⋅ π ⋅ 386.5 π ⋅ 386.5 2

Pv 60.9414
α= = 0.1 ⋅ = 0.0772
P e ⋅ Do 0.1014 ⋅ 778

n =3

1.23 1.23
m= 2
= 2
= 0.116
( DL ) ( )
2,533
o 778

n2 − 1 + m + m ⋅ α 32 − 1 + 0.116 + 0.116 ⋅ 0.0772

Ratio P e = = = 1.0011
n2 − 1 + m 32 − 1 + 0.116

Ratio P e ⋅ Pe ≤ MAEP

(1.0011 ⋅ 0.1014 = 0.1015) ≤ 0.172

Cylinder design thickness is satisfactory.

External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)

(1 + VAceel) ⋅ W M 1.20 ⋅ 98.03 ⋅ 471.1 10000 ⋅ 4,913.6

Pv = + = + = 127.5284 N/cm
2 ⋅ π ⋅ Rm π ⋅ R2m 2 ⋅ π ⋅ 386.5 π ⋅ 386.5 2

Pv 127.5284
α= = 0.1 ⋅ = 0.1617
P e ⋅ Do 0.1014 ⋅ 778

n =3

1.23 1.23
m= = = 0.116
2 2,533 2
( L
Do
) ( 778 )

n2 − 1 + m + m ⋅ α 32 − 1 + 0.116 + 0.116 ⋅ 0.1617

Ratio P e = = = 1.0023
n2 − 1 + m 32 − 1 + 0.116

Ratio P e ⋅ Pe ≤ MAEP

(1.0023 ⋅ 0.1014 = 0.1016) ≤ 0.172

Cylinder design thickness is satisfactory.

24/328
 Thickness Required Due to Pressure + External Loads
Allowable Stress Before UG-23
Pressure Stress Increase ( MPa) Temperature Corrosion Req'd Thk Due Req'd Thk Due to
Condition Load
P ( MPa) ( °C) C (mm) to Tension (mm) Compression (mm)
St Sc

Wind 0.41 0.36

Operating, Hot & Corroded 0.3447 138 96.88 121.11 3
Seismic 0.45 0.32

Wind 0.41 0.35

Operating, Hot & New 0.3447 138 108.48 121.11 0
Seismic 0.45 0.31

Wind 0.01 0.05

Hot Shut Down, Corroded 0 138 96.88 121.11 3
Seismic 0.05 0.11

Wind 0.01 0.05

Hot Shut Down, New 0 138 108.48 121.11 0
Seismic 0.05 0.11

Wind 0.01 0.05

Empty, Corroded 0 138 96.88 21.11 3
Seismic 0.02 0.06

Wind 0.01 0.05

Empty, New 0 138 108.48 21.11 0
Seismic 0.02 0.07

Wind 0.15 0.22

Vacuum -0.1014 138 96.88 33 3
Seismic 0.09 0.28

Hot Shut Down, Corroded, Weight &

0 138 96.88 121.11 3 Weight 0 0.04
Eccentric Moments Only

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)

0.125 0.125
A = = = 0.001608
Ro /t 389/5

B = 96.88 MPa

138
S= = 138 MPa
1.00

ScHC = min (B, S) = 96.88 MPa

Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)

0.125 0.125
A = = = 0.002571
Ro /t 389/8

B = 108.48 MPa

138
S= = 138 MPa
1.00

ScHN = min (B, S) = 108.48 MPa

Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)

0.125 0.125
A = = = 0.002571
Ro /t 389/8

25/328
B = 108.48 MPa

138
S= = 138 MPa
1.00

ScCN = min (B, S) = 108.48 MPa

Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)

0.125 0.125
A = = = 0.001608
Ro /t 389/5

B = 96.88 MPa

138
S= = 138 MPa
1.00

ScC = min (B, S) = 96.88 MPa

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)

0.125 0.125
A = = = 0.001608
Ro /t 389/5

B = 96.88 MPa

138
S= = 138 MPa
1.00

ScVC = min (B, S ) = 96.88 MPa

Operating, Hot & Corroded, Wind, Bottom Seam

26/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,967.2
= ⋅ 10 3
π ⋅ 386.5 2 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.03 − (0.01)

= 0.41 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0.03 + (0.01) − (0.4)|

= 0.36 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (5 − 0.03 + (0.01))

=
384 − 0.40 ⋅ (5 − 0.03 + (0.01))

= 4.3255 MPa

Operating, Hot & New, Wind, Bottom Seam

27/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,034.8
= ⋅ 10 3
2
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.03 − (0.02)

= 0.41 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0.03 + (0.02) − (0.4)|

= 0.35 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (8 − 0.03 + (0.02))

=
381 − 0.40 ⋅ (8 − 0.03 + (0.02))

= 7.0036 MPa

Hot Shut Down, Corroded, Wind, Bottom Seam

28/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,967.2
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,967.2
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.04 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.04+(0.02) − (0)

= 0.05 mm

Hot Shut Down, New, Wind, Bottom Seam

29/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,034.8
= 2
⋅ 10 3
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.02)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,034.8
= 2
⋅ 10 3
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.03 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.02) − (0)

= 0.05 mm

Empty, Corroded, Wind, Bottom Seam

30/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,967.2
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,967.2
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.04 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.04+(0.02) − (0)

= 0.05 mm

Empty, New, Wind, Bottom Seam

31/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,034.8
= 2
⋅ 10 3
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.02)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,034.8
= 2
⋅ 10 3
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.03 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.02) − (0)

= 0.05 mm

Vacuum, Wind, Bottom Seam

32/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 96.8789 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.17 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,967.2
= ⋅ 10 3
π ⋅ 386.5 2 ⋅ 96.8789 ⋅ 1.20

= 0.04 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.02 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.17 + 0.04 − (0.02)|

= 0.15 mm

t c = tmc + twc − tpc (total required, compressive)

= 0.04+(0.02) − ( − 0.17)

= 0.22 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 96.8789 ⋅ 1.20 ⋅ (5 − 0.04 − 0.02)

=
384 − 0.40 ⋅ (5 − 0.04 − 0.02)

= 3.013 MPa

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam

33/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

961.7
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.00 ⋅ 1.00
= 0.01 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.00 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.01 − (0.01)

= 0 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

961.7
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.00
= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.00

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.02) − (0)

= 0.04 mm

Operating, Hot & Corroded, Seismic, Bottom Seam

34/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

4,913.6
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.06 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.06 − (0.01)

= 0.45 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0.06 + (0.01) − (0.4)|

= 0.32 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (5 − 0.06 + (0.01))

=
384 − 0.40 ⋅ (5 − 0.06 + (0.01))

= 4.2925 MPa

Operating, Hot & New, Seismic, Bottom Seam

35/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

5,384.6
= ⋅ 10 3
2
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.07 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.07 − (0.02)

= 0.45 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0.07 + (0.02) − (0.4)|

= 0.31 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (8 − 0.07 + (0.02))

=
381 − 0.40 ⋅ (8 − 0.07 + (0.02))

= 6.9652 MPa

Hot Shut Down, Corroded, Seismic, Bottom Seam

36/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

4,913.6
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.06 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.06 − (0.01)

= 0.05 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

4,913.6
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.09 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.09+(0.02) − (0)

= 0.11 mm

Hot Shut Down, New, Seismic, Bottom Seam

37/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

5,384.6
= ⋅ 10 3
π ⋅ 385 2 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.07 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.07 − (0.02)

= 0.05 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

5,384.6
= 2
⋅ 10 3
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.09 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.09+(0.02) − (0)

= 0.11 mm

Empty, Corroded, Seismic, Bottom Seam

38/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,414.6
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.02 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,414.6
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.04 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.04+(0.02) − (0)

= 0.06 mm

Empty, New, Seismic, Bottom Seam

39/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,935.1
= ⋅ 10 3
2
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.04 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.04 − (0.02)

= 0.02 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,935.1
= ⋅ 10 3
2
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.05 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*630.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.05+(0.02) − (0)

= 0.07 mm

Vacuum, Seismic, Bottom Seam

40/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 96.8789 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.17 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

4,913.6
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.09 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.02 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.17 + 0.09 − (0.02)|

= 0.09 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*471.1
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.09+(0.02) − ( − 0.17)

= 0.28 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 96.8789 ⋅ 1.20 ⋅ (5 − 0.09 − 0.02)

=
384 − 0.40 ⋅ (5 − 0.09 − 0.02)

= 2.9779 MPa

ASME Section VIII Division 1 UG-80(a) Out-of-Roundness

(Dmax − Dmin ) shall not exceed 1 % of D

When the cross section passes through an opening or within 1 I.D. of the opening,
(D max − Dmin ) shall not exceed 1 % of D + 2 % of the inside diameter of the opening

41/328
 ASME Section VIII Division 1 UG-80(b) Out-of-Roundness
Measured deviation shall not exceed the maximum permissible deviation e
L 2,533
= = 3.2558
Do 778

Do 778
= = 155.5129
t 5

Lower curve factor = 0.8

y1(
L
= 3.2558) = 124.0786
Do

Upper curve factor = 1

y2(
L
= 3.2558) = 167.9933
Do

y − y1 155.5129−124.0786
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (1 − 0.8) + 0.8 = 0.9432
y 2 − y1 167.9933−124.0786

e = C F ⋅ t = 0.9432 ⋅ 5 = 4.72 mm

ASME Section VIII Division 1 Figure UG-29.2

Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = 0.25

y1(
L
= 3.2558) = 148.2472
Do

Upper curve factor = 0.2

y2(
L
= 3.2558) = 359.1824
Do

y − y1 155.5129−148.2472
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.2 − 0.25) + 0.25 = 0.2483
y 2 − y1 359.1824−148.2472

Arc = C F ⋅ Do = 0.2483 ⋅ 778 = 193.16 mm

Chord = 2 ⋅ Arc = 2 ⋅ 193.16 = 386.32 mm

42/328
 Cylinder #2

ASME Section VIII Division 1, 2023 Edition Metric

Component Cylinder
Material SA-516 70 (II-D Metric p. 20, ln. 45)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No Yes No No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.034 3,465.1 1
Test horizontal 0.009 920 1
Dimensions
Inner Diameter 762 mm
Length 800 mm
Nominal Thickness 8 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 110.02 364.83
Corroded 69.1 370.59
Radiography
Longitudinal seam Full UW-11(a) Type 1
Top Circumferential seam Full UW-11(a) Type 1
Bottom Circumferential seam Full UW-11(a) Type 1

Results Summary
Governing condition External pressure
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 4.05 mm
Design thickness due to external pressure (te) 7.03 mm
Design thickness due to combined loadings + corrosion 3.41 mm
Maximum allowable working pressure (MAWP) 1.75 MPa
Maximum allowable external pressure (MAEP) 0.172 MPa
Rated MDMT -105 °C

43/328
 UCS-66 Material Toughness Requirements
0.3787 ⋅ 384
tr = = 1.06 mm
138 ⋅ 1 − 0.6 ⋅ 0.3787

tr ⋅ E * 1.06 ⋅ 1
Stress ratio = = = 0.211
tn − c 8 −3

11.398 ⋅ 1
Stress ratio longitudinal = = 0.0826
138 ⋅ 1
Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

Design thickness, (at 121.11 °C) UG-27(c)(1)

P ⋅R 0.3787 ⋅ 384
t= + Corrosion = + 3 = 4.05 mm
S ⋅ E − 0.60 ⋅ P 138 ⋅ 1.00 − 0.60 ⋅ 0.3787

Maximum allowable working pressure, (at 121.11 °C) UG-27(c)(1)

S ⋅E ⋅t 138 ⋅ 1.00 ⋅ 5
P = − Ps = − 0.034 = 1.75 MPa
R + 0.60 ⋅ t 384 + 0.60 ⋅ 5

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2558
Do 778

Do 778
= = 192.8901
t 4.03

From table G: A = 0.000147

From table CS-2 Metric: B = 14.6693 MPa

4⋅B 4 ⋅ 14.6693
Pa = = = 0.1014 MPa
3 ⋅ (Do /t) 3 ⋅ (778/4.03)

Design thickness for external pressure Pa = 0.1014 MPa

ta = t + Corrosion = 4.03 + 3 = 7.03 mm

Maximum Allowable External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2558
Do 778

Do 778
= = 155.5129
t 5

From table G: A = 0.000201

From table CS-2 Metric: B = 20.062 MPa

4⋅B 4 ⋅ 20.062
Pa = = = 0.172 MPa
3 ⋅ (Do /t) 3 ⋅ (778/5)

% Extreme fiber elongation - UCS-79(d)

44/328
 50 ⋅ t Rf 50 ⋅ 8 385
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 1.039 %
Rf Ro 385 ∞

The extreme fiber elongation does not exceed 5%.

External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)

W M 98.03⋅316.2 10000 ⋅ 1,156.9

Pv = + = + = 37.4202 N/cm
2 ⋅ π ⋅ Rm π ⋅ R2m 2 ⋅ π ⋅ 386.5 π ⋅ 386.5 2

Pv 37.4202
α= = 0.1 ⋅ = 0.0474
P e ⋅ Do 0.1014 ⋅ 778

n =3

1.23 1.23
m= 2
= 2
= 0.116
( DL ) ( )
2,533
o 778

n2 − 1 + m + m ⋅ α 32 − 1 + 0.116 + 0.116 ⋅ 0.0474

Ratio P e = = = 1.0007
n2 − 1 + m 32 − 1 + 0.116

Ratio P e ⋅ Pe ≤ MAEP

(1.0007 ⋅ 0.1014 = 0.1015) ≤ 0.172

Cylinder design thickness is satisfactory.

External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)

(1 + VAceel) ⋅ W M 1.20 ⋅ 98.03 ⋅ 316.2 10000 ⋅ 1,810.5

Pv = + = + = 53.8993 N/cm
2 ⋅ π ⋅ Rm π ⋅ R2m 2 ⋅ π ⋅ 386.5 π ⋅ 386.5 2

Pv 53.8993
α= = 0.1 ⋅ = 0.0683
P e ⋅ Do 0.1014 ⋅ 778

n =3

1.23 1.23
m= = = 0.116
2 2,533 2
( L
Do
) ( 778 )

n2 − 1 + m + m ⋅ α 32 − 1 + 0.116 + 0.116 ⋅ 0.0683

Ratio P e = = = 1.001
n2 − 1 + m 32 − 1 + 0.116

Ratio P e ⋅ Pe ≤ MAEP

(1.001 ⋅ 0.1014 = 0.1015) ≤ 0.172

Cylinder design thickness is satisfactory.

45/328
 Thickness Required Due to Pressure + External Loads
Allowable Stress Before UG-23
Pressure Stress Increase ( MPa) Temperature Corrosion Req'd Thk Due Req'd Thk Due to
Condition Load
P ( MPa) ( °C) C (mm) to Tension (mm) Compression (mm)
St Sc

Wind 0.41 0.38

Operating, Hot & Corroded 0.3447 138 96.88 121.11 3
Seismic 0.42 0.37

Wind 0.4 0.37

Operating, Hot & New 0.3447 138 108.48 121.11 0
Seismic 0.41 0.36

Wind 0.01 0.03

Hot Shut Down, Corroded 0 138 96.88 121.11 3
Seismic 0.02 0.05

Wind 0.01 0.03

Hot Shut Down, New 0 138 108.48 121.11 0
Seismic 0.02 0.05

Wind 0.01 0.03

Empty, Corroded 0 138 96.88 21.11 3
Seismic 0.01 0.04

Wind 0.01 0.03

Empty, New 0 138 108.48 21.11 0
Seismic 0.01 0.04

Wind 0.16 0.2

Vacuum -0.1014 138 96.88 33 3
Seismic 0.15 0.21

Hot Shut Down, Corroded, Weight &

0 138 96.88 121.11 3 Weight 0.01 0.04
Eccentric Moments Only

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)

0.125 0.125
A = = = 0.001608
Ro /t 389/5

B = 96.88 MPa

138
S= = 138 MPa
1.00

ScHC = min (B, S) = 96.88 MPa

Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)

0.125 0.125
A = = = 0.002571
Ro /t 389/8

B = 108.48 MPa

138
S= = 138 MPa
1.00

ScHN = min (B, S) = 108.48 MPa

Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)

0.125 0.125
A = = = 0.002571
Ro /t 389/8

46/328
B = 108.48 MPa

138
S= = 138 MPa
1.00

ScCN = min (B, S) = 108.48 MPa

Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)

0.125 0.125
A = = = 0.001608
Ro /t 389/5

B = 96.88 MPa

138
S= = 138 MPa
1.00

ScC = min (B, S) = 96.88 MPa

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)

0.125 0.125
A = = = 0.001608
Ro /t 389/5

B = 96.88 MPa

138
S= = 138 MPa
1.00

ScVC = min (B, S ) = 96.88 MPa

Operating, Hot & Corroded, Wind, Bottom Seam

47/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,156.9
= ⋅ 10 3
π ⋅ 386.5 2 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.01 − (0.01)

= 0.41 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0.01 + (0.01) − (0.4)|

= 0.38 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (5 − 0.01 + (0.01))

=
384 − 0.40 ⋅ (5 − 0.01 + (0.01))

= 4.3313 MPa

Operating, Hot & New, Wind, Bottom Seam

48/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,228.6
= ⋅ 10 3
2
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.02 − (0.01)

= 0.4 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0.02 + (0.01) − (0.4)|

= 0.37 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (8 − 0.02 + (0.01))

=
381 − 0.40 ⋅ (8 − 0.02 + (0.01))

= 7.0076 MPa

Hot Shut Down, Corroded, Wind, Bottom Seam

49/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,156.9
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.01 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,156.9
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.03 mm

Hot Shut Down, New, Wind, Bottom Seam

50/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,228.6
= 2
⋅ 10 3
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.02 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,228.6
= 2
⋅ 10 3
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.03 mm

Empty, Corroded, Wind, Bottom Seam

51/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,156.9
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.01 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,156.9
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.03 mm

Empty, New, Wind, Bottom Seam

52/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,228.6
= 2
⋅ 10 3
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.02 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,228.6
= 2
⋅ 10 3
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.03 mm

Vacuum, Wind, Bottom Seam

53/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 96.8789 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.17 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,156.9
= ⋅ 10 3
π ⋅ 386.5 2 ⋅ 96.8789 ⋅ 1.20

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.01 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.17 + 0.02 − (0.01)|

= 0.16 mm

t c = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − ( − 0.17)

= 0.2 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 96.8789 ⋅ 1.20 ⋅ (5 − 0.02 − 0.01)

=
384 − 0.40 ⋅ (5 − 0.02 − 0.01)

= 3.0254 MPa

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam

54/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

995.3
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.00 ⋅ 1.00
= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.00 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.02 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

995.3
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.00
= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.00

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.04 mm

Operating, Hot & Corroded, Seismic, Bottom Seam

55/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,810.5
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.02 − (0.01)

= 0.42 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0.02 + (0.01) − (0.4)|

= 0.37 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (5 − 0.02 + (0.01))

=
384 − 0.40 ⋅ (5 − 0.02 + (0.01))

= 4.324 MPa

Operating, Hot & New, Seismic, Bottom Seam

56/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,969.4
= ⋅ 10 3
2
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.03 − (0.01)

= 0.41 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0.03 + (0.01) − (0.4)|

= 0.36 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (8 − 0.03 + (0.01))

=
381 − 0.40 ⋅ (8 − 0.03 + (0.01))

= 6.9991 MPa

Hot Shut Down, Corroded, Seismic, Bottom Seam

57/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,810.5
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.02 − (0.01)

= 0.02 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,810.5
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.03 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.01) − (0)

= 0.05 mm

Hot Shut Down, New, Seismic, Bottom Seam

58/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,969.4
= ⋅ 10 3
π ⋅ 385 2 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.02 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,969.4
= 2
⋅ 10 3
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.03 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.01) − (0)

= 0.05 mm

Empty, Corroded, Seismic, Bottom Seam

59/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,339.7
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.02 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,339.7
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.02 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.04 mm

Empty, New, Seismic, Bottom Seam

60/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

1,510.8
= ⋅ 10 3
2
π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.02 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,510.8
= ⋅ 10 3
2
π ⋅ 385 ⋅ 108.4828 ⋅ 1.20

= 0.02 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*389.8
= ⋅ 10
2 ⋅ π ⋅ 385 ⋅ 108.4828 ⋅ 1.20
= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.01) − (0)

= 0.04 mm

Vacuum, Seismic, Bottom Seam

61/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 96.8789 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.17 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

1,810.5
= ⋅ 10 3
2
π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20
= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.01 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.17 + 0.03 − (0.01)|

= 0.15 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*316.2
= ⋅ 10
2 ⋅ π ⋅ 386.5 ⋅ 96.8789 ⋅ 1.20

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.01) − ( − 0.17)

= 0.21 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 96.8789 ⋅ 1.20 ⋅ (5 − 0.03 − 0.01)

=
384 − 0.40 ⋅ (5 − 0.03 − 0.01)

= 3.0167 MPa

ASME Section VIII Division 1 UG-80(a) Out-of-Roundness

(Dmax − Dmin ) shall not exceed 1 % of D

When the cross section passes through an opening or within 1 I.D. of the opening,
(D max − Dmin ) shall not exceed 1 % of D + 2 % of the inside diameter of the opening

62/328
 ASME Section VIII Division 1 UG-80(b) Out-of-Roundness
Measured deviation shall not exceed the maximum permissible deviation e
L 2,533
= = 3.2558
Do 778

Do 778
= = 155.5129
t 5

Lower curve factor = 0.8

y1(
L
= 3.2558) = 124.0786
Do

Upper curve factor = 1

y2(
L
= 3.2558) = 167.9933
Do

y − y1 155.5129−124.0786
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (1 − 0.8) + 0.8 = 0.9432
y 2 − y1 167.9933−124.0786

e = C F ⋅ t = 0.9432 ⋅ 5 = 4.72 mm

ASME Section VIII Division 1 Figure UG-29.2

Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = 0.25

y1(
L
= 3.2558) = 148.2472
Do

Upper curve factor = 0.2

y2(
L
= 3.2558) = 359.1824
Do

y − y1 155.5129−148.2472
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.2 − 0.25) + 0.25 = 0.2483
y 2 − y1 359.1824−148.2472

Arc = C F ⋅ Do = 0.2483 ⋅ 778 = 193.16 mm

Chord = 2 ⋅ Arc = 2 ⋅ 193.16 = 386.32 mm

63/328
 Ellipsoidal Head-Top

ASME Section VIII Division 1, 2023 Edition Metric

Component Ellipsoidal Head
Material SA-516 70 (II-D Metric p. 20, ln. 45)
Attached To Cylinder #2
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No Yes Yes No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0256 2,615.1 1
Test horizontal 0.009 920 1
Dimensions
Inner Diameter 762 mm
Head Ratio 2
Minimum Thickness 7.2 mm
Inner 3 mm
Corrosion
Outer 0 mm
Length Ls f 50 mm
Nominal Thickness ts f 12 mm
Weight and Capacity

Weight (kg)1 Capacity (liters)1

New 49.89 80.72
Corroded 31.27 82.92
Radiography
Category A joints Seamless No RT
Head to shell seam Full UW-11(a) Type 1
1
includes straight flange

Results Summary
Governing condition external pressure
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 4.02 mm
Design thickness due to external pressure (te) 4.96 mm

Maximum allowable working pressure (MAWP) 1.4988 MPa

Maximum allowable external pressure (MAEP) 0.4668 MPa
Straight Flange governs MDMT -105°C

64/328
 Factor K
2
K = ( ) ⋅ [2 + ( ) ]
1 D
6 2⋅h

2
Corroded K = ( ) ⋅ [2 + ( ) ] 0.9897
1 767.99
6 2 ⋅ 193.5

2
K = ( ) ⋅ [2 + ( ) ] 1
1 762
New
6 2 ⋅ 190.5

Design thickness for internal pressure, (Corroded at 121.11 °C) Appendix 1-4(c)

P ⋅D ⋅K 0.3704 ⋅ 767.99 ⋅ 0.989714

t= + Corrosion = + 3 = 4.02 mm
2 ⋅ S ⋅ E − 0.2 ⋅ P 2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3704

Maximum allowable working pressure, (Corroded at 121.11 °C) Appendix 1-4(c)

2⋅S ⋅E ⋅t 2 ⋅ 138 ⋅ 1 ⋅ 4.2

P = − Ps = − 0.0256 = 1.4988 MPa
K ⋅ D + 0.2 ⋅ t 0.989714 ⋅ 767.99 + 0.2 ⋅ 4.2

Design thickness for external pressure, (Corroded at 33 °C) UG-33(d)

Equivalent outside spherical radius

Ro = Ko ⋅ D o = 0.8836 ⋅ 776.4 = 686.04 mm

0.125 0.125
A = = = 0.000356
Ro / t 686.04 / 1.96

From Table CS-2 Metric: B = 35.556 MPa

B 35.556
Pa = = = 0.1014 MPa
Ro / t 686.04 / 1.96

t = 1.96 mm+Corrosion = 1.96 mm + 3 mm = 4.95 mm

The head external pressure design thickness (te) is 4.95 mm.

Maximum Allowable External Pressure, (Corroded at 33 °C) UG-33(d)

Equivalent outside spherical radius

Ro = Ko ⋅ D o = 0.8836 ⋅ 776.4 = 686.04 mm

0.125 0.125
A = = = 0.000766
Ro / t 686.04 / 4.2

From Table CS-2 Metric: B = 76.1919 MPa

B 76.1919
Pa = = = 0.4668 MPa
Ro / t 686.04 / 4.2

The maximum allowable external pressure (MAEP) is 0.4668 MPa.

% Extreme fiber elongation - UCS-79(d)

75 ⋅ t Rf 75 ⋅ 12 135.54
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 6.6401 %
Rf Ro 135.54 ∞

65/328
 ASME Section VIII Division 1 UG-81(a) Out-of-Roundness

Inside surface shall not deviate outside the shape by more than 1.25 % of D

Inside surface shall not deviate inside the shape by more than 0.625 % of D

ASME Section VIII Division 1 UG-80(b) Out-of-Roundness

Measured deviation shall not exceed the maximum permissible deviation e
L
= 0.5
Do

Do 1,372.07
= = 326.4662
t 4.2

Lower curve factor = 0.6

y1(
L
= 0.5) = 217.6582
Do

Upper curve factor = 0.8

y2(
L
= 0.5) = 345.455
Do

y − y1 326.4662−217.6582
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.8 − 0.6) + 0.6 = 0.7703
y 2 − y1 345.455−217.6582

e = C F ⋅ t = 0.7703 ⋅ 4.2 = 3.24 mm

ASME Section VIII Division 1 Figure UG-29.2

Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = 0.085

y1(
L
= 0.5) = 317.6133
Do

Upper curve factor = 0.075

y2(
L
= 0.5) = 510.6207
Do

y − y1 326.4662−317.6133
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.075 − 0.085) + 0.085 = 0.0845
y 2 − y1 510.6207−317.6133

Arc = C F ⋅ Do = 0.0845 ⋅ 1,372.07 = 116 mm

Chord = 2 ⋅ Arc = 2 ⋅ 116 = 231.99 mm

66/328
 Straight Flange on Ellipsoidal Head-Top

ASME Section VIII Division 1, 2023 Edition Metric

Component Cylinder
Material SA-516 70 (II-D Metric p. 20, ln. 45)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No Yes Yes No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0261 2,665.1 1
Test horizontal 0.009 920 1
Dimensions
Inner Diameter 762 mm
Length 50 mm
Nominal Thickness 12 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 11.43 22.8
Corroded 8.61 23.16
Radiography
Longitudinal seam Seamless No RT
Bottom Circumferential seam Full UW-11(a) Type 1

Results Summary
Governing condition External pressure
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 4.03 mm
Design thickness due to external pressure (te) 7.06 mm
Design thickness due to combined loadings + corrosion 3.4 mm
Maximum allowable working pressure (MAWP) 3.1644 MPa
Maximum allowable external pressure (MAEP) 0.7307 MPa
Rated MDMT -105 °C

67/328
 UCS-66 Material Toughness Requirements
0.3709 ⋅ 384
tr = = 1.03 mm
138 ⋅ 1 − 0.6 ⋅ 0.3709

tr ⋅ E * 1.03 ⋅ 1
Stress ratio = = = 0.1148
tn − c 12 − 3

6.062 ⋅ 1
Stress ratio longitudinal = = 0.0439
138 ⋅ 1

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

Design thickness, (at 121.11 °C) UG-27(c)(1)

P ⋅R 0.3709 ⋅ 384
t= + Corrosion = + 3 = 4.03 mm
S ⋅ E − 0.60 ⋅ P 138 ⋅ 1.00 − 0.60 ⋅ 0.3709

Maximum allowable working pressure, (at 121.11 °C) UG-27(c)(1)

S ⋅E ⋅t 138 ⋅ 1.00 ⋅ 9
P = − Ps = − 0.0261 = 3.1644 MPa
R + 0.60 ⋅ t 384 + 0.60 ⋅ 9

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2226
Do 786

Do 786
= = 193.6006
t 4.06

From table G: A = 0.000147

From table CS-2 Metric: B = 14.7234 MPa

4⋅B 4 ⋅ 14.7234
Pa = = = 0.1014 MPa
3 ⋅ (Do /t) 3 ⋅ (786/4.06)

Design thickness for external pressure Pa = 0.1014 MPa

ta = t + Corrosion = 4.06 + 3 = 7.06 mm

Maximum Allowable External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2226
Do 786

Do 786
= = 87.3062
t 9

From table G: A = 0.000480

From table CS-2 Metric: B = 47.8438 MPa

4⋅B 4 ⋅ 47.8438
Pa = = = 0.7307 MPa
3 ⋅ (Do /t) 3 ⋅ (786/9)

% Extreme fiber elongation - UCS-79(d)

68/328
 50 ⋅ t Rf 50 ⋅ 12 387
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 1.5504 %
Rf Ro 387 ∞

The extreme fiber elongation does not exceed 5%.

Thickness Required Due to Pressure + External Loads

Allowable Stress Before UG-23
Pressure Stress Increase ( MPa) Temperature Corrosion Req'd Thk Due Req'd Thk Due to
Condition Load
P ( MPa) ( °C) C (mm) to Tension (mm) Compression (mm)
St Sc

Wind 0.4 0.4

Operating, Hot & Corroded 0.3447 138 110.93 121.11 3
Seismic 0.4 0.4

Wind 0.4 0.39

Operating, Hot & New 0.3447 138 115.34 121.11 0
Seismic 0.4 0.39

Wind 0 0
Hot Shut Down, Corroded 0 138 110.93 121.11 3
Seismic 0 0

Wind 0 0
Hot Shut Down, New 0 138 115.34 121.11 0
Seismic 0 0

Wind 0 0
Empty, Corroded 0 138 110.93 21.11 3
Seismic 0 0

Wind 0 0
Empty, New 0 138 115.34 21.11 0
Seismic 0 0

Wind 0.15 0.15

Vacuum -0.1014 138 110.93 33 3
Seismic 0.15 0.15

Hot Shut Down, Corroded, Weight &

0 138 110.93 121.11 3 Weight 0 0
Eccentric Moments Only

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)

0.125 0.125
A = = = 0.002863
Ro /t 393/9

B = 110.93 MPa

138
S= = 138 MPa
1.00

ScHC = min (B, S) = 110.93 MPa

Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)

0.125 0.125
A = = = 0.003817
Ro /t 393/12

B = 115.34 MPa

138
S= = 138 MPa
1.00

ScHN = min (B, S) = 115.34 MPa

69/328
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)

0.125 0.125
A = = = 0.003817
Ro /t 393/12

B = 115.34 MPa

138
S= = 138 MPa
1.00

ScCN = min (B, S) = 115.34 MPa

Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)

0.125 0.125
A = = = 0.002863
Ro /t 393/9

B = 110.93 MPa

138
S= = 138 MPa
1.00

ScC = min (B, S) = 110.93 MPa

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)

0.125 0.125
A = = = 0.002863
Ro /t 393/9

B = 110.93 MPa

138
S= = 138 MPa
1.00

ScVC = min (B, S ) = 110.93 MPa

Operating, Hot & Corroded, Wind, Bottom Seam

70/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

7
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0 − (0)

= 0.4 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0 + (0) − (0.4)|

= 0.4 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (9 − 0 + (0))

=
384 − 0.40 ⋅ (9 − 0 + (0))

= 7.8392 MPa

Operating, Hot & New, Wind, Bottom Seam

71/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

7
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0 − (0)

= 0.4 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0 + (0) − (0.4)|

= 0.39 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (12 − 0 + (0))

=
381 − 0.40 ⋅ (12 − 0 + (0))

= 10.5658 MPa

Hot Shut Down, Corroded, Wind, Bottom Seam

72/328
t p = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

7
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

t c = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Hot Shut Down, New, Wind, Bottom Seam

t p = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

7
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

t c = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Empty, Corroded, Wind, Bottom Seam

73/328
t p = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

7
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

t c = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Empty, New, Wind, Bottom Seam

t p = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

7
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

t c = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Vacuum, Wind, Bottom Seam

74/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 110.9275 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.15 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

7
= ⋅ 10 3
π ⋅ 388.5 2 ⋅ 110.9275 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.15 + 0 − (0)|

= 0.15 mm

t c = tmc + twc − tpc (total required, compressive)

= 0 + (0) − ( − 0.15)

= 0.15 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 110.9275 ⋅ 1.20 ⋅ (9 − 0 − 0)
=
384 − 0.40 ⋅ (9 − 0 − 0)

= 6.2999 MPa

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam

75/328
t p = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

0
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.00

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.00
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

t c = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Operating, Hot & Corroded, Seismic, Bottom Seam

76/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

35.1
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0 − (0)

= 0.4 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0 + (0) − (0.4)|

= 0.4 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (9 − 0 + (0))

=
384 − 0.40 ⋅ (9 − 0 + (0))

= 7.8389 MPa

Operating, Hot & New, Seismic, Bottom Seam

77/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

40.4
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0 − (0)

= 0.4 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0 + (0) − (0.4)|

= 0.39 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (12 − 0 + (0))

=
381 − 0.40 ⋅ (12 − 0 + (0))

= 10.5654 MPa

Hot Shut Down, Corroded, Seismic, Bottom Seam

78/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

35.1
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

tc = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Hot Shut Down, New, Seismic, Bottom Seam

79/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

40.4
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

tc = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Empty, Corroded, Seismic, Bottom Seam

80/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

17.1
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0 mm

tc = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Empty, New, Seismic, Bottom Seam

81/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

23.4
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= |0 + 0 − (0)|

= 0 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*57
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0 mm

tc = tmc + twc − tpc (total required, compressive)

= 0 + (0) − (0)

= 0 mm

Vacuum, Seismic, Bottom Seam

82/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 110.9275 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.15 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

35.1
= ⋅ 10 3
π ⋅ 388.5 2 ⋅ 110.9275 ⋅ 1.20

= 0 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.15 + 0 − (0)|

= 0.15 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*38.1
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0 mm

tc = tmc + twc − tpc (total required, compressive)

= 0 + (0) − ( − 0.15)

= 0.15 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 110.9275 ⋅ 1.20 ⋅ (9 − 0 − 0)
=
384 − 0.40 ⋅ (9 − 0 − 0)

= 6.2994 MPa

ASME Section VIII Division 1 UG-80(a) Out-of-Roundness

(Dmax − Dmin ) shall not exceed 1 % of D

When the cross section passes through an opening or within 1 I.D. of the opening,
(D max − Dmin ) shall not exceed 1 % of D + 2 % of the inside diameter of the opening

83/328
 ASME Section VIII Division 1 UG-80(b) Out-of-Roundness
Measured deviation shall not exceed the maximum permissible deviation e
L 2,533
= = 3.2226
Do 786

Do 786
= = 87.3062
t 9

Lower curve factor = 0.6

y1(
L
= 3.2226) = 84.6094
Do

Upper curve factor = 0.8

y2(
L
= 3.2226) = 124.7998
Do

y − y1 87.3062−84.6094
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.8 − 0.6) + 0.6 = 0.6134
y 2 − y1 124.7998−84.6094

e = C F ⋅ t = 0.6134 ⋅ 9 = 5.52 mm

ASME Section VIII Division 1 Figure UG-29.2

Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = 0.3

y1(
L
= 3.2226) = 68.6813
Do

Upper curve factor = 0.25

y2(
L
= 3.2226) = 145.4104
Do

y − y1 87.3062−68.6813
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.25 − 0.3) + 0.3 = 0.2879
y 2 − y1 145.4104−68.6813

Arc = C F ⋅ Do = 0.2879 ⋅ 786 = 226.26 mm

Chord = 2 ⋅ Arc = 2 ⋅ 226.26 = 452.52 mm

84/328
 Straight Flange on Ellipsoidal Head-Bottom
ASME Section VIII Division 1, 2023 Edition Metric
Component Cylinder
Material SA-516 70 (II-D Metric p. 20, ln. 45)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No Yes Yes No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0492 5,019.1 1
Test horizontal 0.009 920 1
Dimensions
Inner Diameter 762 mm
Length 50 mm
Nominal Thickness 12 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 11.43 22.8
Corroded 8.61 23.16
Radiography
Longitudinal seam Seamless No RT
Top Circumferential seam Full UW-11(a) Type 1

Results Summary
Governing condition External pressure
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 4.1 mm
Design thickness due to external pressure (te) 7.06 mm
Design thickness due to combined loadings + corrosion 3.45 mm
Maximum allowable working pressure (MAWP) 3.1413 MPa
Maximum allowable external pressure (MAEP) 0.7307 MPa
Rated MDMT -105 °C

85/328
 UCS-66 Material Toughness Requirements
0.3939 ⋅ 384
tr = = 1.1 mm
138 ⋅ 1 − 0.6 ⋅ 0.3939

tr ⋅ E * 1.1 ⋅ 1
Stress ratio = = = 0.122
tn − c 12 − 3

6.875 ⋅ 1
Stress ratio longitudinal = = 0.0498
138 ⋅ 1
Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

Design thickness, (at 121.11 °C) UG-27(c)(1)

P ⋅R 0.3939 ⋅ 384
t= + Corrosion = + 3 = 4.1 mm
S ⋅ E − 0.60 ⋅ P 138 ⋅ 1.00 − 0.60 ⋅ 0.3939

Maximum allowable working pressure, (at 121.11 °C) UG-27(c)(1)

S ⋅E ⋅t 138 ⋅ 1.00 ⋅ 9
P = − Ps = − 0.0492 = 3.1413 MPa
R + 0.60 ⋅ t 384 + 0.60 ⋅ 9

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2226
Do 786

Do 786
= = 193.6006
t 4.06

From table G: A = 0.000147

From table CS-2 Metric: B = 14.7234 MPa

4⋅B 4 ⋅ 14.7234
Pa = = = 0.1014 MPa
3 ⋅ (Do /t) 3 ⋅ (786/4.06)

Design thickness for external pressure Pa = 0.1014 MPa

ta = t + Corrosion = 4.06 + 3 = 7.06 mm

Maximum Allowable External Pressure, (Corroded & at 33 °C) UG-28(c)

L 2,533
= = 3.2226
Do 786

Do 786
= = 87.3062
t 9

From table G: A = 0.000480

From table CS-2 Metric: B = 47.8438 MPa

4⋅B 4 ⋅ 47.8438
Pa = = = 0.7307 MPa
3 ⋅ (Do /t) 3 ⋅ (786/9)

% Extreme fiber elongation - UCS-79(d)

86/328
 50 ⋅ t Rf 50 ⋅ 12 387
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 1.5504 %
Rf Ro 387 ∞

The extreme fiber elongation does not exceed 5%.

Thickness Required Due to Pressure + External Loads

Allowable Stress Before UG-23
Pressure Stress Increase ( MPa) Temperature Corrosion Req'd Thk Due Req'd Thk Due to
Condition Load
P ( MPa) ( °C) C (mm) to Tension (mm) Compression (mm)
St Sc

Wind 0.41 0.36

Operating, Hot & Corroded 0.3447 138 110.93 121.11 3
Seismic 0.45 0.32

Wind 0.41 0.35

Operating, Hot & New 0.3447 138 115.34 121.11 0
Seismic 0.45 0.31

Wind 0.01 0.05

Hot Shut Down, Corroded 0 138 110.93 121.11 3
Seismic 0.05 0.1

Wind 0.01 0.05

Hot Shut Down, New 0 138 115.34 121.11 0
Seismic 0.06 0.11

Wind 0.01 0.05

Empty, Corroded 0 138 110.93 21.11 3
Seismic 0.02 0.06

Wind 0.01 0.05

Empty, New 0 138 115.34 21.11 0
Seismic 0.02 0.07

Wind 0.13 0.19

Vacuum -0.1014 138 110.93 33 3
Seismic 0.08 0.24

Hot Shut Down, Corroded, Weight &

0 138 110.93 121.11 3 Weight 0 0.04
Eccentric Moments Only

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)

0.125 0.125
A = = = 0.002863
Ro /t 393/9

B = 110.93 MPa

138
S= = 138 MPa
1.00

ScHC = min (B, S) = 110.93 MPa

Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)

0.125 0.125
A = = = 0.003817
Ro /t 393/12

B = 115.34 MPa

138
S= = 138 MPa
1.00

ScHN = min (B, S) = 115.34 MPa

87/328
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)

0.125 0.125
A = = = 0.003817
Ro /t 393/12

B = 115.34 MPa

138
S= = 138 MPa
1.00

ScCN = min (B, S) = 115.34 MPa

Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)

0.125 0.125
A = = = 0.002863
Ro /t 393/9

B = 110.93 MPa

138
S= = 138 MPa
1.00

ScC = min (B, S) = 110.93 MPa

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)

0.125 0.125
A = = = 0.002863
Ro /t 393/9

B = 110.93 MPa

138
S= = 138 MPa
1.00

ScVC = min (B, S ) = 110.93 MPa

Operating, Hot & Corroded, Wind, Bottom Seam

88/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,009
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.03 − (0.01)

= 0.41 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0.03 + (0.01) − (0.4)|

= 0.36 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (9 − 0.03 + (0.01))

=
384 − 0.40 ⋅ (9 − 0.03 + (0.01))

= 7.8262 MPa

Operating, Hot & New, Wind, Bottom Seam

89/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,076.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.03 − (0.02)

= 0.41 mm

t c = |tmc + twc − tpc | (total, net tensile)

= |0.03 + (0.02) − (0.4)|

= 0.35 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (12 − 0.03 + (0.02))

=
381 − 0.40 ⋅ (12 − 0.03 + (0.02))

= 10.5548 MPa

Hot Shut Down, Corroded, Wind, Bottom Seam

90/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,009
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,009
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.03 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.01) − (0)

= 0.05 mm

Hot Shut Down, New, Wind, Bottom Seam

91/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,076.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.02)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,076.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20

= 0.03 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.02) − (0)

= 0.05 mm

Empty, Corroded, Wind, Bottom Seam

92/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,009
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,009
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0.03 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.01 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.01) − (0)

= 0.05 mm

Empty, New, Wind, Bottom Seam

93/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,076.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.02)

= 0.01 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,076.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20

= 0.03 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.03+(0.02) − (0)

= 0.05 mm

Vacuum, Wind, Bottom Seam

94/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 110.9275 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.15 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,009
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.01 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.15 + 0.03 − (0.01)|

= 0.13 mm

t c = tmc + twc − tpc (total required, compressive)

= 0.03+(0.01) − ( − 0.15)

= 0.19 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 110.9275 ⋅ 1.20 ⋅ (9 − 0.03 − 0.01)

=
384 − 0.40 ⋅ (9 − 0.03 − 0.01)

= 6.268 MPa

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam

95/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

961.7
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 138 ⋅ 1.00 ⋅ 1.00
= 0.01 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.00 ⋅ 1.00

= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.01 − (0.01)

= 0 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

961.7
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.00
= 0.02 mm

W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.00

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.02+(0.02) − (0)

= 0.04 mm

Operating, Hot & Corroded, Seismic, Bottom Seam

96/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 384
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

5,041.6
= ⋅ 10 3
2
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.06 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.06 − (0.01)

= 0.45 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.01 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0.06 + (0.01) − (0.4)|

= 0.32 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (9 − 0.06 + (0.01))

=
384 − 0.40 ⋅ (9 − 0.06 + (0.01))

= 7.7923 MPa

Operating, Hot & New, Seismic, Bottom Seam

97/328
 P ⋅R
tp = (Pressure)
2 ⋅ S t ⋅ Ks ⋅ Ec + 0.40 ⋅ |P |

0.3447 ⋅ 381
=
2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 + 0.40 ⋅ |0.3447|

= 0.4 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

5,525.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.07 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0.4+0.07 − (0.02)

= 0.45 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

1.20*642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.02 mm

tc = |tmc + twc − tpc | (total, net tensile)

= |0.07 + (0.02) − (0.4)|

= 0.31 mm

Maximum allowable working pressure, Longitudinal Stress

2 ⋅ S t ⋅ Ks ⋅ Ec ⋅ (t − tm + tw )
P =
R − 0.40 ⋅ (t − tm + tw )

2 ⋅ 138 ⋅ 1.20 ⋅ 1.00 ⋅ (12 − 0.07 + (0.02))

=
381 − 0.40 ⋅ (12 − 0.07 + (0.02))

= 10.5153 MPa

Hot Shut Down, Corroded, Seismic, Bottom Seam

98/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

5,041.6
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.06 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.06 − (0.01)

= 0.05 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

5,041.6
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0.08 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.08+(0.02) − (0)

= 0.1 mm

Hot Shut Down, New, Seismic, Bottom Seam

99/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

5,525.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.07 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.07 − (0.02)

= 0.06 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

5,525.6
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0.08 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.08+(0.02) − (0)

= 0.11 mm

Empty, Corroded, Seismic, Bottom Seam

100/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,456.4
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.03 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.01 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.03 − (0.01)

= 0.02 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,456.4
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20
= 0.04 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.04+(0.02) − (0)

= 0.06 mm

Empty, New, Seismic, Bottom Seam

101/328
tp = 0 mm (Pressure)

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ St ⋅ K s ⋅ E c

2,991.3
= ⋅ 10 3
2
π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00

= 0.04 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ St ⋅ K s ⋅ E c

642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 138 ⋅ 1.20 ⋅ 1.00
= 0.02 mm

tt = tp + tm − tw (total required, tensile)

= 0 + 0.04 − (0.02)

= 0.02 mm

M
t mc = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

2,991.3
= ⋅ 10 3
2
π ⋅ 387 ⋅ 115.3385 ⋅ 1.20

= 0.05 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*642.2
= ⋅ 10
2 ⋅ π ⋅ 387 ⋅ 115.3385 ⋅ 1.20
= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.05+(0.02) − (0)

= 0.07 mm

Vacuum, Seismic, Bottom Seam

102/328
 P ⋅R
tp = (Pressure)
2 ⋅ S c ⋅ Ks + 0.40 ⋅ |P |

−0.1014 ⋅ 384
=
2 ⋅ 110.9275 ⋅ 1.20 + 0.40 ⋅ |0.1014|

= -0.15 mm

M
tm = ⋅ MetricFactor (bending)
π ⋅ R 2m ⋅ Sc ⋅ Ks

5,041.6
= 2
⋅ 10 3
π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.08 mm

W
tw = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.01 mm

tt = |tp + tm − tw | (total, net compressive)

= | − 0.15 + 0.08 − (0.01)|

= 0.08 mm

(1 + VAceel) ⋅ W
tw c = ⋅ MetricFactor (Weight)
2 ⋅ π ⋅ R m ⋅ Sc ⋅ Ks

1.20*479.7
= ⋅ 10
2 ⋅ π ⋅ 388.5 ⋅ 110.9275 ⋅ 1.20

= 0.02 mm

tc = tmc + twc − tpc (total required, compressive)

= 0.08+(0.02) − ( − 0.15)

= 0.24 mm

Maximum Allowable External Pressure, Longitudinal Stress

2 ⋅ S c ⋅ Ks ⋅ (t − tmc − twc )
P =
R − 0.40 ⋅ (t − tmc − twc )

2 ⋅ 110.9275 ⋅ 1.20 ⋅ (9 − 0.08 − 0.02)

=
384 − 0.40 ⋅ (9 − 0.08 − 0.02)

= 6.232 MPa

ASME Section VIII Division 1 UG-80(a) Out-of-Roundness

(Dmax − Dmin ) shall not exceed 1 % of D

When the cross section passes through an opening or within 1 I.D. of the opening,
(D max − Dmin ) shall not exceed 1 % of D + 2 % of the inside diameter of the opening

103/328
 ASME Section VIII Division 1 UG-80(b) Out-of-Roundness
Measured deviation shall not exceed the maximum permissible deviation e
L 2,533
= = 3.2226
Do 786

Do 786
= = 87.3062
t 9

Lower curve factor = 0.6

y1(
L
= 3.2226) = 84.6094
Do

Upper curve factor = 0.8

y2(
L
= 3.2226) = 124.7998
Do

y − y1 87.3062−84.6094
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.8 − 0.6) + 0.6 = 0.6134
y 2 − y1 124.7998−84.6094

e = C F ⋅ t = 0.6134 ⋅ 9 = 5.52 mm

ASME Section VIII Division 1 Figure UG-29.2

Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = 0.3

y1(
L
= 3.2226) = 68.6813
Do

Upper curve factor = 0.25

y2(
L
= 3.2226) = 145.4104
Do

y − y1 87.3062−68.6813
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.25 − 0.3) + 0.3 = 0.2879
y 2 − y1 145.4104−68.6813

Arc = C F ⋅ Do = 0.2879 ⋅ 786 = 226.26 mm

Chord = 2 ⋅ Arc = 2 ⋅ 226.26 = 452.52 mm

104/328
 Ellipsoidal Head-Bottom

ASME Section VIII Division 1, 2023 Edition Metric

Component Ellipsoidal Head
Material SA-516 70 (II-D Metric p. 20, ln. 45)
Attached To Cylinder #1
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No Yes Yes No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0511 5,212.6 1
Test horizontal 0.009 920 1
Dimensions
Inner Diameter 762 mm
Head Ratio 2
Minimum Thickness 7.2 mm
Inner 3 mm
Corrosion
Outer 0 mm
Length Ls f 50 mm
Nominal Thickness ts f 12 mm
Weight and Capacity

Weight (kg)1 Capacity (liters)1

New 49.89 80.72
Corroded 31.27 82.92
Radiography
Category A joints Seamless No RT
Head to shell seam Full UW-11(a) Type 1
1
includes straight flange

Results Summary
Governing condition external pressure
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 4.09 mm
Design thickness due to external pressure (te) 4.96 mm

Maximum allowable working pressure (MAWP) 1.4733 MPa

Maximum allowable external pressure (MAEP) 0.4668 MPa
Straight Flange governs MDMT -105°C

105/328
 Factor K
2
K = ( ) ⋅ [2 + ( ) ]
1 D
6 2⋅h

2
Corroded K = ( ) ⋅ [2 + ( ) ] 0.9897
1 767.99
6 2 ⋅ 193.5

2
K = ( ) ⋅ [2 + ( ) ] 1
1 762
New
6 2 ⋅ 190.5

Design thickness for internal pressure, (Corroded at 121.11 °C) Appendix 1-4(c)

P ⋅D ⋅K 0.3958 ⋅ 767.99 ⋅ 0.989714

t= + Corrosion = + 3 = 4.09 mm
2 ⋅ S ⋅ E − 0.2 ⋅ P 2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3958

Maximum allowable working pressure, (Corroded at 121.11 °C) Appendix 1-4(c)

2⋅S ⋅E ⋅t 2 ⋅ 138 ⋅ 1 ⋅ 4.2

P = − Ps = − 0.0511 = 1.4733 MPa
K ⋅ D + 0.2 ⋅ t 0.989714 ⋅ 767.99 + 0.2 ⋅ 4.2

Design thickness for external pressure, (Corroded at 33 °C) UG-33(d)

Equivalent outside spherical radius

Ro = Ko ⋅ D o = 0.8836 ⋅ 776.4 = 686.04 mm

0.125 0.125
A = = = 0.000356
Ro / t 686.04 / 1.96

From Table CS-2 Metric: B = 35.556 MPa

B 35.556
Pa = = = 0.1014 MPa
Ro / t 686.04 / 1.96

t = 1.96 mm+Corrosion = 1.96 mm + 3 mm = 4.95 mm

The head external pressure design thickness (te) is 4.95 mm.

Maximum Allowable External Pressure, (Corroded at 33 °C) UG-33(d)

Equivalent outside spherical radius

Ro = Ko ⋅ D o = 0.8836 ⋅ 776.4 = 686.04 mm

0.125 0.125
A = = = 0.000766
Ro / t 686.04 / 4.2

From Table CS-2 Metric: B = 76.1919 MPa

B 76.1919
Pa = = = 0.4668 MPa
Ro / t 686.04 / 4.2

The maximum allowable external pressure (MAEP) is 0.4668 MPa.

% Extreme fiber elongation - UCS-79(d)

75 ⋅ t Rf 75 ⋅ 12 135.54
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 6.6401 %
Rf Ro 135.54 ∞

106/328
 ASME Section VIII Division 1 UG-81(a) Out-of-Roundness

Inside surface shall not deviate outside the shape by more than 1.25 % of D

Inside surface shall not deviate inside the shape by more than 0.625 % of D

ASME Section VIII Division 1 UG-80(b) Out-of-Roundness

Measured deviation shall not exceed the maximum permissible deviation e
L
= 0.5
Do

Do 1,372.07
= = 326.4662
t 4.2

Lower curve factor = 0.6

y1(
L
= 0.5) = 217.6582
Do

Upper curve factor = 0.8

y2(
L
= 0.5) = 345.455
Do

y − y1 326.4662−217.6582
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.8 − 0.6) + 0.6 = 0.7703
y 2 − y1 345.455−217.6582

e = C F ⋅ t = 0.7703 ⋅ 4.2 = 3.24 mm

ASME Section VIII Division 1 Figure UG-29.2

Chord length = 2 ⋅ arc length determined from Figure UG-29.2

Lower curve factor = 0.085

y1(
L
= 0.5) = 317.6133
Do

Upper curve factor = 0.075

y2(
L
= 0.5) = 510.6207
Do

y − y1 326.4662−317.6133
CF = (C F 2 − C F 1 ) + C F1 = ⋅ (0.075 − 0.085) + 0.085 = 0.0845
y 2 − y1 510.6207−317.6133

Arc = C F ⋅ Do = 0.0845 ⋅ 1,372.07 = 116 mm

Chord = 2 ⋅ Arc = 2 ⋅ 116 = 231.99 mm

107/328
 Gas Outlet (N1)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Ellipsoidal Head-Top
Orientation 0°
End of nozzle to datum line 2,701.1 mm
Calculated as hillside No
Distance to head center, R 0 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 42.85 mm
Pipe nominal wall thickness 8.74 mm

Pipe minimum wall thickness1 7.65 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 70.5 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 7.2 mm
Liquid static head included 0.0238 MPa
Reinforcing Pad
Material specification SA-516 70 (II-D Metric p. 20, ln. 45)
Diameter, Dp 120.33 mm
Thickness, te 12 mm
Is split No
Welds
Inner fillet, Leg41 9 mm
Outer fillet, Leg42 8 mm
Nozzle to vessel groove weld 12 mm
Pad groove weld 12 mm
Radiography
Longitudinal seam Seamless No RT

108/328
 Circumferential seam Full UW-11(a) Type 1
1
Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

ASME B16.5-2020 Flange

Description NPS 2 Class 600 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -43.94°C
Liquid static head 0.0222 MPa
Consider External Loads on Flange MAWP Rating Yes
MAWP reduction due to external loads 8.2605 MPa
MAWP rating 9.1933 MPa @ 121.11°C
MAP rating 10.21 MPa @ 21.11°C
Hydrotest rating 15.4 MPa @ 21.11°C
PWHT performed Yes
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Bore diameter, B (specified by purchaser) 52.58 mm
MAWP Reduction Due to External Loads
16 ⋅ M 16 ⋅ 588.5 ⋅ 1000
Pm = = = 7.9421 MPa
π ⋅ G3 π ⋅ 72.26 3

−4 ⋅ W −4 ⋅ − 1,306
Pr = 2
= = 0.3184 MPa
π ⋅G π ⋅ 72.26 2

M AW P reduction = max [Pm + P r , 0] = max [7.9421 + 0.3184, 0] = 8.2605 MPa

M AW P = M AW P − M AW P reduction − P s = 9.1933 − 8.2605 − 0.0222 = 0.9106 MPa

Notes
Flange rated MDMT per UCS-66(b)(1)(b) = -43.94°C (UCS-68(c) applies, Coincident ratio = 0.845)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle At Intersection

0.3685 ⋅ 0.893 ⋅ 767.99
tr = = 0.92 mm
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3685

tr ⋅ E * 0.92 ⋅ 1
Stress ratio = = = 0.2179
tn − c 7.2−3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

UCS-66 Material Toughness Requirements Nozzle

Governing thickness, tg = 3.94 mm
Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

109/328
 UCS-66 Material Toughness Requirements Pad
0.3685 ⋅ 0.893 ⋅ 767.99
tr = = 0.92 mm
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3685

tr ⋅ E * 0.92 ⋅ 1
Stress ratio = = = 0.2179
tn − c 7.2−3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

110/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.37 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.35 7.65

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4.5 5.6 weld size is adequate

WRC 537
Max Allow
Max Allow
Pr M1 V2 M2 V1 Mt Local Local
P Comb Comb Over
Load Case Primary Primary
(MPa) (N) (N-m) (N) (N-m) (N) (N-m) Stress Stress stressed
Stress Stress
(MPa) (MPa)
(MPa) (MPa)

Load case 1 0.3685 1,306 612 1,306 612 1,306 612 275.894 414 68.596 207 No

Load case 1 (Hot Shut Down) 0 1,306 612 1,306 612 1,306 612 -280.651 414 -46.857 207 No

Load case 1 (Pr Reversed) 0.3685 -1,306 612 1,306 612 1,306 612 310.995 414 77.201 207 No

Load case 1 (Pr Reversed) (Hot Shut Down) 0 -1,306 612 1,306 612 1,306 612 280.651 414 46.857 207 No

Calculations for internal pressure 0.37 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 12]

= 10.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3685⋅24.42
=
118 ⋅ 1 − 0.6 ⋅ 0.3685

= 0.0762 mm

Required thickness tr from UG-37(a)(c)

111/328
 P ⋅ K1 ⋅ D
tr =
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.3685 ⋅ 0.893 ⋅ 767.99

=
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3685

= 0.92 mm

Required thickness tr per Interpretation VIII-1-07-50

P ⋅D ⋅K 0.3685 ⋅ 767.99 ⋅ 0.989714

tr = = =1.02 mm
2 ⋅ S ⋅ E − 0.2 ⋅ P 2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3685
This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 9 mm

tw(min) = 0.5 ⋅ tmin = 4.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3685⋅24.42
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3685
= 3.07 mm

taUG-22 = 5.35 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.07, 5.35]

= 5.35 mm

P ⋅D ⋅K
t b1 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.3685 ⋅ 767.99 ⋅ 0.989714

= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3685
= 4.01 mm

112/328
tb1 = max [tb1 , tbUG16 ]

= max [4.01, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [5.35, 4.5]

= 5.35 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

113/328
WRC 537 Load case 1 (Pr Reversed)

Applied Loads
Radial load, Pr -1,306 N
Circumferential moment, M1 612 N-m

Circumferential shear, V2 1,306 N

Longitudinal moment, M2 612 N-m
Longitudinal shear, V1 1,306 N
Torsion moment, Mt 612 N-m
Internal pressure, P 0.3685 MPa
Mean dish radius, Rm 694.33 mm
Local head thickness, T 4.2 mm
Design factor 3

Maximum stresses due to the applied loads at the pad edge (includes pressure)

ro 60.16
U = −−−−−− = −−−−−−−−− = 1.114
√Rm ⋅ T √ 694.33⋅4.2

Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local pressure stress = = 30.344 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 310.99 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 77.2 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

114/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.0582 4.302 4.302 4.302 4.302 4.302 4.302 4.302 4.302
P

Mx
SR-2 0.0299 13.272 -13.272 13.272 -13.272 13.272 -13.272 13.272 -13.272
P

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.0663 0 0 0 0 -42.554 -42.554 42.554 42.554
M1

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.0572 0 0 0 0 -220.191 220.191 220.191 -220.191
M1

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.0663 -42.554 -42.554 42.554 42.554 0 0 0 0
M2

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.0572 -220.191 220.191 220.191 -220.191 0 0 0 0
M2

Pressure stress* 30.344 30.344 30.344 30.344 30.344 30.344 30.344 30.344

Total Ox stress -214.827 199.01 310.664 -156.263 -214.827 199.01 310.664 -156.263

Membrane Ox stress* -7.908 -7.908 77.201 77.201 -7.908 -7.908 77.201 77.201

Ny ⋅ T
SR-2* 0.0177 1.31 1.31 1.31 1.31 1.31 1.31 1.31 1.31
P

My
SR-2 0.0092 4.068 -4.068 4.068 -4.068 4.068 -4.068 4.068 -4.068
P

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0199 0 0 0 0 -12.755 -12.755 12.755 12.755
M1

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.0177 0 0 0 0 -68.286 68.286 68.286 -68.286
M1

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0199 -12.755 -12.755 12.755 12.755 0 0 0 0
M2

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.0177 -68.286 68.286 68.286 -68.286 0 0 0 0
M2

Pressure stress* 30.344 30.344 30.344 30.344 30.344 30.344 30.344 30.344

Total Oy stress -45.319 83.116 116.763 -27.944 -45.319 83.116 116.763 -27.944

Membrane Oy stress* 18.899 18.899 44.409 44.409 18.899 18.899 44.409 44.409

Shear from Mt 6.405 6.405 6.405 6.405 6.405 6.405 6.405 6.405

Shear from V1 0 0 0 0 -1.641 -1.641 1.641 1.641

Shear from V2 1.641 1.641 -1.641 -1.641 0 0 0 0

Total Shear stress 8.046 8.046 4.764 4.764 4.764 4.764 8.046 8.046

Combined stress
-215.206 199.569 310.781 -156.442 -214.958 199.203 310.995 -156.766
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Maximum stresses due to the applied loads at the nozzle OD (includes pressure)

ro 30.16
U = −−−−−− = −−−−−−−−−− = 0.284
√Rm ⋅ T √ 694.33⋅16.2

Pressure stress intensity factor, I = 0.5137 (derived from Division 2 Part 4.5)

115/328
 I ⋅ P ⋅ Ri
Local pressure stress = = 15.589 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 93.26 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 20.27 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

116/328
 Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.1969 0.979 0.979 0.979 0.979 0.979 0.979 0.979 0.979
P

Mx
SR-2 0.1459 4.357 -4.357 4.357 -4.357 4.357 -4.357 4.357 -4.357
P

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.1683 0 0 0 0 -3.702 -3.702 3.702 3.702
M1

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.5128 0 0 0 0 -67.617 67.617 67.617 -67.617
M1

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.1683 -3.702 -3.702 3.702 3.702 0 0 0 0
M2

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.5128 -67.617 67.617 67.617 -67.617 0 0 0 0
M2

Pressure stress* 15.589 15.589 15.589 15.589 15.589 15.589 15.589 15.589

Total Ox stress -50.394 76.125 92.245 -51.704 -50.394 76.125 92.245 -51.704

Membrane Ox stress* 12.866 12.866 20.271 20.271 12.866 12.866 20.271 20.271

Ny ⋅ T
SR-2* 0.0594 0.296 0.296 0.296 0.296 0.296 0.296 0.296 0.296
P

My
SR-2 0.0442 1.317 -1.317 1.317 -1.317 1.317 -1.317 1.317 -1.317
P

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0513 0 0 0 0 -1.124 -1.124 1.124 1.124
M1

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.1528 0 0 0 0 -20.146 20.146 20.146 -20.146
M1

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0513 -1.124 -1.124 1.124 1.124 0 0 0 0
M2

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.1528 -20.146 20.146 20.146 -20.146 0 0 0 0
M2

Pressure stress* 15.589 15.589 15.589 15.589 15.589 15.589 15.589 15.589

Total Oy stress -4.068 33.591 38.473 -4.454 -4.068 33.591 38.473 -4.454

Membrane Oy stress* 14.762 14.762 17.009 17.009 14.762 14.762 17.009 17.009

Shear from Mt 6.605 6.605 6.605 6.605 6.605 6.605 6.605 6.605

Shear from V1 0 0 0 0 -0.848 -0.848 0.848 0.848

Shear from V2 0.848 0.848 -0.848 -0.848 0 0 0 0

Total Shear stress 7.453 7.453 5.757 5.757 5.757 5.757 7.453 7.453

Combined stress
-51.566 77.394 92.852 -52.393 -51.097 76.89 93.258 -52.848
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Longitudinal stress in the nozzle wall due to internal pressure + external loads

P ⋅ Ri Pr M ⋅ Ro
σ n(Pm) = − +
2 ⋅ tn π ⋅ (R2o − R2i ) I

0.3685⋅24.42 −1,306 865,498.5⋅30.16

= − +
2 ⋅ 4.65 2
π ⋅ (30.16 − 24.42 ) 2 370,671.5

=72.723 MPa

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The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 118 MPa)

Shear stress in the nozzle wall due to external loads

−−−−−−− −−−−−−−−−−−−
√ V12 + V 22 √1,306 2 + 1,306 2
σ shear = = = 4.194 MPa
π ⋅ Ri ⋅ t n π ⋅ 24.42 ⋅ 5.74

Mt 612
σ torsion = = = 28.449 MPa
2⋅π ⋅ R2i ⋅ tn 2 ⋅ π ⋅ 24.42 2 ⋅ 5.74

σ total = σshear + σtorsion = 4.194 + 28.449 = 32.642 MPa

UG-45: The total combined shear stress (32.642 MPa) ≤ allowable (0.7 ⋅ Sn = 0.7 ⋅ 118 = 82.6 MPa)

118/328
Reinforcement Calculations for MAWP

The attached ASME B16.5 flange limits the nozzle MAWP.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.93 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.57 7.65

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4.5 5.6 weld size is adequate

WRC 537
Max Allow
Max Allow
Local Local
P Pr M1 V2 M2 V1 Mt Comb Comb Over
Load Case Primary Primary
(MPa) (N) (N-m) (N) (N-m) (N) (N-m) Stress Stress stressed
Stress Stress
(MPa) (MPa)
(MPa) (MPa)

Load case 1 0.9343 1,306 612 1,306 612 1,306 612 322.488 414 115.191 207 No

Load case 1 (Pr Reversed) 0.9343 -1,306 612 1,306 612 1,306 612 357.59 414 123.795 207 No

Calculations for internal pressure 0.93 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 12]

= 10.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.9343⋅24.42
=
118 ⋅ 1 − 0.6 ⋅ 0.9343

= 0.19 mm

Required thickness tr from UG-37(a)(c)

119/328
 P ⋅ K1 ⋅ D
tr =
2 ⋅ S ⋅ E − 0.2 ⋅ P
0.9343 ⋅ 0.893 ⋅ 767.99
=
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.9343

= 2.32 mm

Required thickness tr per Interpretation VIII-1-07-50

P ⋅D ⋅K 0.9343 ⋅ 767.99 ⋅ 0.989714

tr = = =2.57 mm
2 ⋅ S ⋅ E − 0.2 ⋅ P 2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.9343
This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 9 mm

tw(min) = 0.5 ⋅ tmin = 4.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.9343⋅24.42
= +3
118 ⋅ 1 − 0.6 ⋅ 0.9343
= 3.19 mm

taUG-22 = 5.44 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.19, 5.44]

= 5.44 mm

P ⋅D ⋅K
t b1 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.9343 ⋅ 767.99 ⋅ 0.989714

= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.9343
= 5.57 mm

120/328
tb1 = max [tb1 , tbUG16 ]

= max [5.57, 4.5]

= 5.57 mm

tb = min [tb3 , tb1 ]

= min [6.42, 5.57]

= 5.57 mm

tUG-45 = max [ta , tb ]

= max [5.44, 5.57]

= 5.57 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

121/328
WRC 537 Load case 1 (Pr Reversed)

Applied Loads
Radial load, Pr -1,306 N
Circumferential moment, M1 612 N-m

Circumferential shear, V2 1,306 N

Longitudinal moment, M2 612 N-m
Longitudinal shear, V1 1,306 N
Torsion moment, Mt 612 N-m
Internal pressure, P 0.9343 MPa
Mean dish radius, Rm 694.33 mm
Local head thickness, T 4.2 mm
Design factor 3

Maximum stresses due to the applied loads at the pad edge (includes pressure)

ro 60.16
U = −−−−−− = −−−−−−−−− = 1.114
√Rm ⋅ T √ 694.33⋅4.2

Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local pressure stress = = 76.939 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 357.59 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 123.8 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

122/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.0582 4.302 4.302 4.302 4.302 4.302 4.302 4.302 4.302
P

Mx
SR-2 0.0299 13.272 -13.272 13.272 -13.272 13.272 -13.272 13.272 -13.272
P

Nx ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0663 0 0 0 0 -42.554 -42.554 42.554 42.554
M1

Mx ⋅ √−
R−m
−−⋅−T−
SR-3 0.0572 0 0 0 0 -220.191 220.191 220.191 -220.191
M1

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.0663 -42.554 -42.554 42.554 42.554 0 0 0 0
M2

Mx ⋅ √−
R−m
−−⋅−T−
SR-3 0.0572 -220.191 220.191 220.191 -220.191 0 0 0 0
M2

Pressure stress* 76.939 76.939 76.939 76.939 76.939 76.939 76.939 76.939

Total Ox stress -168.232 245.605 357.259 -109.668 -168.232 245.605 357.259 -109.668

Membrane Ox stress* 38.686 38.686 123.795 123.795 38.686 38.686 123.795 123.795

Ny ⋅ T
SR-2* 0.0177 1.31 1.31 1.31 1.31 1.31 1.31 1.31 1.31
P

My
SR-2 0.0092 4.068 -4.068 4.068 -4.068 4.068 -4.068 4.068 -4.068
P

Ny ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0199 0 0 0 0 -12.755 -12.755 12.755 12.755
M1

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.0177 0 0 0 0 -68.286 68.286 68.286 -68.286
M1

Ny ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0199 -12.755 -12.755 12.755 12.755 0 0 0 0
M2

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.0177 -68.286 68.286 68.286 -68.286 0 0 0 0
M2

Pressure stress* 76.939 76.939 76.939 76.939 76.939 76.939 76.939 76.939

Total Oy stress 1.276 129.711 163.357 18.65 1.276 129.711 163.357 18.65

Membrane Oy stress* 65.493 65.493 91.004 91.004 65.493 65.493 91.004 91.004

Shear from Mt 6.405 6.405 6.405 6.405 6.405 6.405 6.405 6.405

Shear from V1 0 0 0 0 -1.641 -1.641 1.641 1.641

Shear from V2 1.641 1.641 -1.641 -1.641 0 0 0 0

Total Shear stress 8.046 8.046 4.764 4.764 4.764 4.764 8.046 8.046

Combined stress
170.273 246.164 357.376 128.67 169.777 245.798 357.59 129.325
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Maximum stresses due to the applied loads at the nozzle OD (includes pressure)

ro 30.16
U = −−−−−− = −−−−−−−−−− = 0.284
√Rm ⋅ T √ 694.33⋅16.2

Pressure stress intensity factor, I = 0.5137 (derived from Division 2 Part 4.5)

123/328
 I ⋅ P ⋅ Ri
Local pressure stress = = 39.521 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 117.19 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 44.2 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

124/328
 Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.1969 0.979 0.979 0.979 0.979 0.979 0.979 0.979 0.979
P

Mx
SR-2 0.1459 4.357 -4.357 4.357 -4.357 4.357 -4.357 4.357 -4.357
P

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.1683 0 0 0 0 -3.702 -3.702 3.702 3.702
M1

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.5128 0 0 0 0 -67.617 67.617 67.617 -67.617
M1

Nx ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.1683 -3.702 -3.702 3.702 3.702 0 0 0 0
M2

Mx ⋅ √−
R−m
−−⋅−T−
SR-3 0.5128 -67.617 67.617 67.617 -67.617 0 0 0 0
M2

Pressure stress* 39.521 39.521 39.521 39.521 39.521 39.521 39.521 39.521

Total Ox stress -26.462 100.057 116.177 -27.772 -26.462 100.057 116.177 -27.772

Membrane Ox stress* 36.797 36.797 44.202 44.202 36.797 36.797 44.202 44.202

Ny ⋅ T
SR-2* 0.0594 0.296 0.296 0.296 0.296 0.296 0.296 0.296 0.296
P

My
SR-2 0.0442 1.317 -1.317 1.317 -1.317 1.317 -1.317 1.317 -1.317
P

Ny ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0513 0 0 0 0 -1.124 -1.124 1.124 1.124
M1

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.1528 0 0 0 0 -20.146 20.146 20.146 -20.146
M1

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0513 -1.124 -1.124 1.124 1.124 0 0 0 0
M2

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.1528 -20.146 20.146 20.146 -20.146 0 0 0 0
M2

Pressure stress* 39.521 39.521 39.521 39.521 39.521 39.521 39.521 39.521

Total Oy stress 19.864 57.523 62.404 19.478 19.864 57.523 62.404 19.478

Membrane Oy stress* 38.693 38.693 40.941 40.941 38.693 38.693 40.941 40.941

Shear from Mt 6.605 6.605 6.605 6.605 6.605 6.605 6.605 6.605

Shear from V1 0 0 0 0 -0.848 -0.848 0.848 0.848

Shear from V2 0.848 0.848 -0.848 -0.848 0 0 0 0

Total Shear stress 7.453 7.453 5.757 5.757 5.757 5.757 7.453 7.453

Combined stress
48.663 101.325 116.783 48.636 47.732 100.822 117.19 49.546
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Longitudinal stress in the nozzle wall due to internal pressure + external loads

P ⋅ Ri Pr M ⋅ Ro
σ n(Pm) = − +
2 ⋅ tn π ⋅ (R2o − R2i ) I

0.9343⋅24.42 −1,306 865,498.5⋅30.16

= − +
2 ⋅ 4.65 2
π ⋅ (30.16 − 24.42 ) 2 370,671.5

=74.209 MPa

125/328
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 118 MPa)

Shear stress in the nozzle wall due to external loads

−−−−−−− −−−−−−−−−−−−
√ V12 + V 22 √1,306 2 + 1,306 2
σ shear = = = 4.194 MPa
π ⋅ Ri ⋅ t n π ⋅ 24.42 ⋅ 5.74

Mt 612
σ torsion = = = 28.449 MPa
2⋅π ⋅ R2i ⋅ tn 2 ⋅ π ⋅ 24.42 2 ⋅ 5.74

σ total = σshear + σtorsion = 4.194 + 28.449 = 32.642 MPa

UG-45: The total combined shear stress (32.642 MPa) ≤ allowable (0.7 ⋅ Sn = 0.7 ⋅ 118 = 82.6 MPa)

126/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.31 7.65

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4.5 5.6 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 12]

= 10.51 mm

Nozzle required thickness per UG-28 trn = 0.28 mm

From UG-37(d)(1) required thickness tr = 1.96 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 9 mm

tw(min) = 0.5 ⋅ tmin = 4.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

127/328
UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

taUG-28 = 3.28 mm

taUG-22 = 5.31 mm

ta = max [taUG-28 , taUG-22 ]

= max [3.28, 5.31]

= 5.31 mm

P ⋅D ⋅K
t b2 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P
0.1014 ⋅ 767.99 ⋅ 0.989714
= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.1014
= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [5.31, 4.5]

= 5.31 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 150
= = 2.4865
Do 60.33

Do 60.33
= = 216.1093
t 0.28

From table G: A = 0.000164

From table CS-2 Metric: B = 16.4344 MPa

4⋅B 4 ⋅ 16.4344
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.28)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.28 + 3 = 3.28 mm

128/328
129/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.47 MPa @ 33 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.37 7.65

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4.5 5.6 weld size is adequate

Calculations for external pressure 0.47 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 12]

= 10.51 mm

Nozzle required thickness per UG-28 trn = 0.52 mm

From UG-37(d)(1) required thickness tr = 4.2 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 9 mm

tw(min) = 0.5 ⋅ tmin = 4.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

130/328
UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

taUG-28 = 3.51 mm

taUG-22 = 5.37 mm

ta = max [taUG-28 , taUG-22 ]

= max [3.51, 5.37]

= 5.37 mm

P ⋅D ⋅K
t b2 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.4668 ⋅ 767.99 ⋅ 0.989714

= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.4668
= 4.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [4.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [5.37, 4.5]

= 5.37 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 150
= = 2.4865
Do 60.33

Do 60.33
= = 116.9294
t 0.52

From table G: A = 0.000411

From table CS-2 Metric: B = 40.9331 MPa

4⋅B 4 ⋅ 40.9331
Pa = = = 0.47 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.52)

Design thickness for external pressure Pa = 0.47 MPa

ta = t + Corrosion = 0.52 + 3 = 3.51 mm

131/328
132/328
 Level Bridle (N2A)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #1
Orientation 0°
Nozzle center line offset to datum line 1,323 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 80 (XS) DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 49.25 mm
Pipe nominal wall thickness 5.54 mm

Pipe minimum wall thickness1 4.85 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 86.5 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.036 MPa
Welds
Inner fillet, Leg41 9 mm
Nozzle to vessel groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

133/328
 ASME B16.5-2020 Flange
Description NPS 2 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0357 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1941)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

134/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.38 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.38 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3807⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.3807

= 0.0889 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3807 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3807

= 1.06 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

135/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3807⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3807
= 3.09 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.09, 0]

= 3.09 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3807 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3807

= 4.06 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.06, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.09, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

136/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.66 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.84 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.66 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6622⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.6622
= 0.15 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.6622 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6622

= 1.85 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

137/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6622⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6622
= 3.15 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.15, 0]

= 3.15 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6622 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6622

= 4.84 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.84, 4.5]

= 4.84 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.84]

= 4.84 mm

tUG-45 = max [ta , tb ]

= max [3.15, 4.84]

= 4.84 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

138/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.28 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.28 mm

139/328
ta = max [taUG-28 , taUG-22 ]

= max [3.28, 0]

= 3.28 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014

= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.28, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 215.3508
t 0.28

From table G: A = 0.000164

From table CS-2 Metric: B = 16.3783 MPa

4⋅B 4 ⋅ 16.3783
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.28)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.28 + 3 = 3.28 mm

140/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.34 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.34 mm

141/328
ta = max [taUG-28 , taUG-22 ]

= max [3.34, 0]

= 3.34 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.34, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 175.3751
t 0.34

From table G: A = 0.000227

From table CS-2 Metric: B = 22.6253 MPa

4⋅B 4 ⋅ 22.6253
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.34)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.34 + 3 = 3.34 mm

142/328
 Level bridle (N2 B)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #1
Orientation 0°
Nozzle center line offset to datum line 113 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 80 (XS) DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 49.25 mm
Pipe nominal wall thickness 5.54 mm

Pipe minimum wall thickness1 4.85 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 86.5 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.0478 MPa
Welds
Inner fillet, Leg41 9 mm
Nozzle to vessel groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

143/328
 ASME B16.5-2020 Flange
Description NPS 2 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0476 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.2002)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

144/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.39 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.39 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3926⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.3926

= 0.0914 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3926 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3926

= 1.09 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

145/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3926⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3926
= 3.09 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.09, 0]

= 3.09 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3926 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3926

= 4.09 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.09, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.09, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

146/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.66 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.84 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.66 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6621⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.6621
= 0.15 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.6621 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6621

= 1.85 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

147/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6621⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6621
= 3.15 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.15, 0]

= 3.15 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6621 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6621

= 4.84 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.84, 4.5]

= 4.84 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.84]

= 4.84 mm

tUG-45 = max [ta , tb ]

= max [3.15, 4.84]

= 4.84 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

148/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.28 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.28 mm

149/328
ta = max [taUG-28 , taUG-22 ]

= max [3.28, 0]

= 3.28 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014

= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.28, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 215.3508
t 0.28

From table G: A = 0.000164

From table CS-2 Metric: B = 16.3783 MPa

4⋅B 4 ⋅ 16.3783
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.28)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.28 + 3 = 3.28 mm

150/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.34 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.34 mm

151/328
ta = max [taUG-28 , taUG-22 ]

= max [3.34, 0]

= 3.34 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.34, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 175.3751
t 0.34

From table G: A = 0.000227

From table CS-2 Metric: B = 22.6253 MPa

4⋅B 4 ⋅ 22.6253
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.34)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.34 + 3 = 3.34 mm

152/328
 Liquid Outlet (N3)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Ellipsoidal Head-Bottom
Orientation 90°
End of nozzle to datum line -397.1 mm
Calculated as hillside No
Distance to head center, R 0 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 160 DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 42.85 mm
Pipe nominal wall thickness 8.74 mm

Pipe minimum wall thickness1 7.65 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 150 mm
Local vessel minimum thickness 7.2 mm
Liquid static head included 0.0525 MPa
Reinforcing Pad
Material specification SA-516 70 (II-D Metric p. 20, ln. 45)
Diameter, Dp 160.33 mm
Thickness, te 8 mm
Is split No
Welds
Inner fillet, Leg41 9 mm
Outer fillet, Leg42 6 mm
Nozzle to vessel groove weld 12 mm
Pad groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1

153/328
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

UCS-66 Material Toughness Requirements Nozzle At Intersection

0.3972 ⋅ 0.893 ⋅ 767.99
tr = = 0.99 mm
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3972

tr ⋅ E * 0.99 ⋅ 1
Stress ratio = = = 0.2349
tn − c 7.2−3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

UCS-66 Material Toughness Requirements Nozzle

Governing thickness, tg = 7.65 mm
Exemption temperature from Fig UCS-66M Curve B = -29°C
External nozzle loadings per UG-22 govern the coincident ratio used.

tr ⋅ E * 2.36 ⋅ 1
Stress ratio = = = 0.5072
tn − c 7.65−3

Reduction in MDMT, TR from Fig UCS-66.1M = 30.9°C

Reduction in MDMT, TPWHT from UCS-68(c) = 17°C

M DM T = max [M DM T − TR − T PWHT , − 48] = max [ − 29 − 30.9 − 17, − 48] = -48°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

UCS-66 Material Toughness Requirements Pad

0.3972 ⋅ 0.893 ⋅ 767.99
tr = = 0.99 mm
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3972

tr ⋅ E * 0.99 ⋅ 1
Stress ratio = = = 0.2349
tn − c 7.2−3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

154/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.4 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.35 7.65

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4 4.2 weld size is adequate

WRC 537
Max Allow
Max Allow
Pr M1 V2 M2 V1 Mt Local Local
P Comb Comb Over
Load Case Primary Primary
(MPa) (N) (N-m) (N) (N-m) (N) (N-m) Stress Stress stressed
Stress Stress
(MPa) (MPa)
(MPa) (MPa)

Load case 1 0.3972 1,306 612 1,306 612 1,306 612 159.738 414 55.599 207 No

Load case 1 (Hot Shut Down) 0 1,306 612 1,306 612 1,306 612 -150.051 414 -28.703 207 No

Load case 1 (Pr Reversed) 0.3972 -1,306 612 1,306 612 1,306 612 182.766 414 61.419 207 No

Load case 1 (Pr Reversed) (Hot Shut Down) 0 -1,306 612 1,306 612 1,306 612 150.051 414 28.703 207 No

Calculations for internal pressure 0.4 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 8]

= 10.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3972⋅24.42
=
118 ⋅ 1 − 0.6 ⋅ 0.3972

= 0.0813 mm

Required thickness tr from UG-37(a)(c)

155/328
 P ⋅ K1 ⋅ D
tr =
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.3972 ⋅ 0.893 ⋅ 767.99

=
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3972

= 0.99 mm

Required thickness tr per Interpretation VIII-1-07-50

P ⋅D ⋅K 0.3972 ⋅ 767.99 ⋅ 0.989714

tr = = =1.09 mm
2 ⋅ S ⋅ E − 0.2 ⋅ P 2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3972
This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 8 mm

tw(min) = 0.5 ⋅ tmin = 4 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 6 = 4.2 mm

UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3973⋅24.42
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3973
= 3.08 mm

taUG-22 = 5.35 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.08, 5.35]

= 5.35 mm

P ⋅D ⋅K
t b1 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.3972 ⋅ 767.99 ⋅ 0.989714

= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.3972
= 4.09 mm

156/328
tb1 = max [tb1 , tbUG16 ]

= max [4.09, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [5.35, 4.5]

= 5.35 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

157/328
WRC 537 Load case 1 (Pr Reversed)

Applied Loads
Radial load, Pr -1,306 N
Circumferential moment, M1 612 N-m

Circumferential shear, V2 1,306 N

Longitudinal moment, M2 612 N-m
Longitudinal shear, V1 1,306 N
Torsion moment, Mt 612 N-m
Internal pressure, P 0.3972 MPa
Mean dish radius, Rm 694.33 mm
Local head thickness, T 4.2 mm
Design factor 3

Maximum stresses due to the applied loads at the pad edge (includes pressure)

ro 80.16
U = −−−−−− = −−−−−−−−− = 1.484
√Rm ⋅ T √ 694.33⋅4.2

Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local pressure stress = = 32.716 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 182.77 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 61.42 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

158/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.0394 2.91 2.91 2.91 2.91 2.91 2.91 2.91 2.91
P

Mx
SR-2 0.0194 8.625 -8.625 8.625 -8.625 8.625 -8.625 8.625 -8.625
P

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.0402 0 0 0 0 -25.793 -25.793 25.793 25.793
M1

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.0292 0 0 0 0 -112.502 112.502 112.502 -112.502
M1

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.0402 -25.793 -25.793 25.793 25.793 0 0 0 0
M2

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.0292 -112.502 112.502 112.502 -112.502 0 0 0 0
M2

Pressure stress* 32.716 32.716 32.716 32.716 32.716 32.716 32.716 32.716

Total Ox stress -94.044 113.708 182.546 -59.709 -94.044 113.708 182.546 -59.709

Membrane Ox stress* 9.832 9.832 61.419 61.419 9.832 9.832 61.419 61.419

Ny ⋅ T
SR-2* 0.0119 0.883 0.883 0.883 0.883 0.883 0.883 0.883 0.883
P

My
SR-2 0.0059 2.599 -2.599 2.599 -2.599 2.599 -2.599 2.599 -2.599
P

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0121 0 0 0 0 -7.75 -7.75 7.75 7.75
M1

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.0088 0 0 0 0 -33.729 33.729 33.729 -33.729
M1

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.0121 -7.75 -7.75 7.75 7.75 0 0 0 0
M2

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.0088 -33.729 33.729 33.729 -33.729 0 0 0 0
M2

Pressure stress* 32.716 32.716 32.716 32.716 32.716 32.716 32.716 32.716

Total Oy stress -5.281 56.978 77.676 5.019 -5.281 56.978 77.676 5.019

Membrane Oy stress* 25.848 25.848 41.348 41.348 25.848 25.848 41.348 41.348

Shear from Mt 3.606 3.606 3.606 3.606 3.606 3.606 3.606 3.606

Shear from V1 0 0 0 0 -1.234 -1.234 1.234 1.234

Shear from V2 1.234 1.234 -1.234 -1.234 0 0 0 0

Total Shear stress 4.84 4.84 2.372 2.372 2.372 2.372 4.84 4.84

Combined stress
-94.306 114.115 182.601 64.9 -94.107 113.805 182.766 65.445
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Maximum stresses due to the applied loads at the nozzle OD (includes pressure)

ro 30.16
U = −−−−−− = −−−−−−−−−− = 0.328
√Rm ⋅ T √ 694.33⋅12.2

Pressure stress intensity factor, I = 0.5532 (derived from Division 2 Part 4.5)

159/328
 I ⋅ P ⋅ Ri
Local pressure stress = = 18.099 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 150.15 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 27.16 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

160/328
 Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.1823 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6
P

Mx
SR-2 0.128 6.736 -6.736 6.736 -6.736 6.736 -6.736 6.736 -6.736
P

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.1671 0 0 0 0 -7.46 -7.46 7.46 7.46
M1

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.43 0 0 0 0 -115.204 115.204 115.204 -115.204
M1

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.1671 -7.46 -7.46 7.46 7.46 0 0 0 0
M2

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.43 -115.204 115.204 115.204 -115.204 0 0 0 0
M2

Pressure stress* 18.099 18.099 18.099 18.099 18.099 18.099 18.099 18.099

Total Ox stress -96.23 120.707 149.099 -94.782 -96.23 120.707 149.099 -94.782

Membrane Ox stress* 12.238 12.238 27.158 27.158 12.238 12.238 27.158 27.158

Ny ⋅ T
SR-2* 0.0548 0.483 0.483 0.483 0.483 0.483 0.483 0.483 0.483
P

My
SR-2 0.0389 2.048 -2.048 2.048 -2.048 2.048 -2.048 2.048 -2.048
P

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.051 0 0 0 0 -2.275 -2.275 2.275 2.275
M1

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.1285 0 0 0 0 -34.426 34.426 34.426 -34.426
M1

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.051 -2.275 -2.275 2.275 2.275 0 0 0 0
M2

−−−−−−
My ⋅ √Rm ⋅ T
SR-3 0.1285 -34.426 34.426 34.426 -34.426 0 0 0 0
M2

Pressure stress* 18.099 18.099 18.099 18.099 18.099 18.099 18.099 18.099

Total Oy stress -16.072 48.684 57.33 -15.617 -16.072 48.684 57.33 -15.617

Membrane Oy stress* 16.306 16.306 20.857 20.857 16.306 16.306 20.857 20.857

Shear from Mt 8.777 8.777 8.777 8.777 8.777 8.777 8.777 8.777

Shear from V1 0 0 0 0 -1.131 -1.131 1.131 1.131

Shear from V2 1.131 1.131 -1.131 -1.131 0 0 0 0

Total Shear stress 9.908 9.908 7.646 7.646 7.646 7.646 9.908 9.908

Combined stress
-97.437 122.044 149.733 -95.513 -96.954 121.506 150.154 -96.003
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Longitudinal stress in the nozzle wall due to internal pressure + external loads

P ⋅ Ri Pr M ⋅ Ro
σ n(Pm) = − +
2 ⋅ tn π ⋅ (R2o − R2i ) I

0.3972⋅24.42 −1,306 865,498.5⋅30.16

= − +
2 ⋅ 4.65 2
π ⋅ (30.16 − 24.42 ) 2 370,671.5
=72.798 MPa

161/328
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 118 MPa)

Shear stress in the nozzle wall due to external loads

−−−−−−− −−−−−−−−−−−−
√ V12 + V 22 √1,306 2 + 1,306 2
σ shear = = = 4.194 MPa
π ⋅ Ri ⋅ t n π ⋅ 24.42 ⋅ 5.74

Mt 612
σ torsion = = = 28.449 MPa
2⋅π ⋅ R2i ⋅ tn 2 ⋅ π ⋅ 24.42 2 ⋅ 5.74

σ total = σshear + σtorsion = 4.194 + 28.449 = 32.642 MPa

UG-45: The total combined shear stress (32.642 MPa) ≤ allowable (0.7 ⋅ Sn = 0.7 ⋅ 118 = 82.6 MPa)

162/328
Reinforcement Calculations for MAWP

The vessel wall thickness governs the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 1.69 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 6.42 7.65

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4 4.2 weld size is adequate

WRC 537
Max Allow
Max Allow
Local Local
P Pr M1 V2 M2 V1 Mt Comb Comb Over
Load Case Primary Primary
(MPa) (N) (N-m) (N) (N-m) (N) (N-m) Stress Stress stressed
Stress Stress
(MPa) (MPa)
(MPa) (MPa)

Load case 1 1.6893 1,306 612 1,306 612 1,306 612 266.138 414 161.999 207 No

Load case 1 (Pr Reversed) 1.6893 -1,306 612 1,306 612 1,306 612 289.166 414 167.818 207 No

Calculations for internal pressure 1.69 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 8]

= 10.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

1.6893⋅24.42
=
118 ⋅ 1 − 0.6 ⋅ 1.6893

= 0.35 mm

Required thickness tr from UG-37(a)(c)

163/328
 P ⋅ K1 ⋅ D
tr =
2 ⋅ S ⋅ E − 0.2 ⋅ P

1.6893 ⋅ 0.893 ⋅ 767.99

=
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 1.6893

= 4.2 mm

Required thickness tr per Interpretation VIII-1-07-50

P ⋅D ⋅K 1.6893 ⋅ 767.99 ⋅ 0.989714

tr = = =4.66 mm
2 ⋅ S ⋅ E − 0.2 ⋅ P 2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 1.6893
This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 8 mm

tw(min) = 0.5 ⋅ tmin = 4 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 6 = 4.2 mm

UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

1.6893⋅24.42
= +3
118 ⋅ 1 − 0.6 ⋅ 1.6893
= 3.35 mm

taUG-22 = 5.55 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.35, 5.55]

= 5.55 mm

P ⋅D ⋅K
t b1 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P

1.6893 ⋅ 767.99 ⋅ 0.989714

= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 1.6893
= 7.66 mm

164/328
tb1 = max [tb1 , tbUG16 ]

= max [7.66, 4.5]

= 7.66 mm

tb = min [tb3 , tb1 ]

= min [6.42, 7.66]

= 6.42 mm

tUG-45 = max [ta , tb ]

= max [5.55, 6.42]

= 6.42 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

165/328
WRC 537 Load case 1 (Pr Reversed)

Applied Loads
Radial load, Pr -1,306 N
Circumferential moment, M1 612 N-m

Circumferential shear, V2 1,306 N

Longitudinal moment, M2 612 N-m
Longitudinal shear, V1 1,306 N
Torsion moment, Mt 612 N-m
Internal pressure, P 1.6893 MPa
Mean dish radius, Rm 694.33 mm
Local head thickness, T 4.2 mm
Design factor 3

Maximum stresses due to the applied loads at the pad edge (includes pressure)

ro 80.16
U = −−−−−− = −−−−−−−−− = 1.484
√Rm ⋅ T √ 694.33⋅4.2

Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local pressure stress = = 139.116 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 289.17 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 167.82 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

166/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.0394 2.91 2.91 2.91 2.91 2.91 2.91 2.91 2.91
P

Mx
SR-2 0.0194 8.625 -8.625 8.625 -8.625 8.625 -8.625 8.625 -8.625
P

Nx ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0402 0 0 0 0 -25.793 -25.793 25.793 25.793
M1

Mx ⋅ √−
R−m
−−⋅−T−
SR-3 0.0292 0 0 0 0 -112.502 112.502 112.502 -112.502
M1

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.0402 -25.793 -25.793 25.793 25.793 0 0 0 0
M2

Mx ⋅ √−
R−m
−−⋅−T−
SR-3 0.0292 -112.502 112.502 112.502 -112.502 0 0 0 0
M2

Pressure stress* 139.116 139.116 139.116 139.116 139.116 139.116 139.116 139.116

Total Ox stress 12.355 220.108 288.945 46.691 12.355 220.108 288.945 46.691

Membrane Ox stress* 116.232 116.232 167.818 167.818 116.232 116.232 167.818 167.818

Ny ⋅ T
SR-2* 0.0119 0.883 0.883 0.883 0.883 0.883 0.883 0.883 0.883
P

My
SR-2 0.0059 2.599 -2.599 2.599 -2.599 2.599 -2.599 2.599 -2.599
P

Ny ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0121 0 0 0 0 -7.75 -7.75 7.75 7.75
M1

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.0088 0 0 0 0 -33.729 33.729 33.729 -33.729
M1

Ny ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.0121 -7.75 -7.75 7.75 7.75 0 0 0 0
M2

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.0088 -33.729 33.729 33.729 -33.729 0 0 0 0
M2

Pressure stress* 139.116 139.116 139.116 139.116 139.116 139.116 139.116 139.116

Total Oy stress 101.119 163.378 184.076 111.419 101.119 163.378 184.076 111.419

Membrane Oy stress* 132.248 132.248 147.748 147.748 132.248 132.248 147.748 147.748

Shear from Mt 3.606 3.606 3.606 3.606 3.606 3.606 3.606 3.606

Shear from V1 0 0 0 0 -1.234 -1.234 1.234 1.234

Shear from V2 1.234 1.234 -1.234 -1.234 0 0 0 0

Total Shear stress 4.84 4.84 2.372 2.372 2.372 2.372 4.84 4.84

Combined stress
101.381 220.515 289.001 111.509 101.181 220.205 289.166 111.778
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Maximum stresses due to the applied loads at the nozzle OD (includes pressure)

ro 30.16
U = −−−−−− = −−−−−−−−−− = 0.328
√Rm ⋅ T √ 694.33⋅12.2

Pressure stress intensity factor, I = 0.5532 (derived from Division 2 Part 4.5)

167/328
 I ⋅ P ⋅ Ri
Local pressure stress = = 76.959 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 209.01 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 86.02 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

168/328
 Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nx ⋅ T
SR-2* 0.1823 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6
P

Mx
SR-2 0.128 6.736 -6.736 6.736 -6.736 6.736 -6.736 6.736 -6.736
P

−−−−−−
Nx ⋅ T ⋅ √Rm ⋅ T
SR-3* 0.1671 0 0 0 0 -7.46 -7.46 7.46 7.46
M1

−−−−−−
Mx ⋅ √Rm ⋅ T
SR-3 0.43 0 0 0 0 -115.204 115.204 115.204 -115.204
M1

Nx ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.1671 -7.46 -7.46 7.46 7.46 0 0 0 0
M2

Mx ⋅ √−
R−m
−−⋅−T−
SR-3 0.43 -115.204 115.204 115.204 -115.204 0 0 0 0
M2

Pressure stress* 76.959 76.959 76.959 76.959 76.959 76.959 76.959 76.959

Total Ox stress -37.37 179.567 207.96 -35.922 -37.37 179.567 207.96 -35.922

Membrane Ox stress* 71.099 71.099 86.019 86.019 71.099 71.099 86.019 86.019

Ny ⋅ T
SR-2* 0.0548 0.483 0.483 0.483 0.483 0.483 0.483 0.483 0.483
P

My
SR-2 0.0389 2.048 -2.048 2.048 -2.048 2.048 -2.048 2.048 -2.048
P

Ny ⋅ T ⋅ √−
R−m
−−⋅−T−
SR-3* 0.051 0 0 0 0 -2.275 -2.275 2.275 2.275
M1

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.1285 0 0 0 0 -34.426 34.426 34.426 -34.426
M1

−−−−−−
Ny ⋅ T ⋅ √R m ⋅ T
SR-3* 0.051 -2.275 -2.275 2.275 2.275 0 0 0 0
M2

My ⋅ √−
R−m
−−⋅−T−
SR-3 0.1285 -34.426 34.426 34.426 -34.426 0 0 0 0
M2

Pressure stress* 76.959 76.959 76.959 76.959 76.959 76.959 76.959 76.959

Total Oy stress 42.789 107.544 116.19 43.244 42.789 107.544 116.19 43.244

Membrane Oy stress* 75.167 75.167 79.717 79.717 75.167 75.167 79.717 79.717

Shear from Mt 8.777 8.777 8.777 8.777 8.777 8.777 8.777 8.777

Shear from V1 0 0 0 0 -1.131 -1.131 1.131 1.131

Shear from V2 1.131 1.131 -1.131 -1.131 0 0 0 0

Total Shear stress 9.908 9.908 7.646 7.646 7.646 7.646 9.908 9.908

Combined stress
82.572 180.905 208.594 80.627 81.606 180.367 209.015 81.606
(PL+Pb+Q)

(1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.

Longitudinal stress in the nozzle wall due to internal pressure + external loads

P ⋅ Ri Pr M ⋅ Ro
σ n(Pm) = − +
2 ⋅ tn π ⋅ (R2o − R2i ) I

1.6893⋅24.42 −1,306 865,498.5⋅30.16

= − +
2 ⋅ 4.65 2
π ⋅ (30.16 − 24.42 ) 2 370,671.5

=76.192 MPa

169/328
The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 118 MPa)

Shear stress in the nozzle wall due to external loads

−−−−−−− −−−−−−−−−−−−
√ V12 + V 22 √1,306 2 + 1,306 2
σ shear = = = 4.194 MPa
π ⋅ Ri ⋅ t n π ⋅ 24.42 ⋅ 5.74

Mt 612
σ torsion = = = 28.449 MPa
2⋅π ⋅ R2i ⋅ tn 2 ⋅ π ⋅ 24.42 2 ⋅ 5.74

σ total = σshear + σtorsion = 4.194 + 28.449 = 32.642 MPa

UG-45: The total combined shear stress (32.642 MPa) ≤ allowable (0.7 ⋅ Sn = 0.7 ⋅ 118 = 82.6 MPa)

170/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.31 7.65

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4 4.2 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 8]

= 10.51 mm

Nozzle required thickness per UG-28 trn = 0.51 mm

From UG-37(d)(1) required thickness tr = 1.96 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 8 mm

tw(min) = 0.5 ⋅ tmin = 4 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 6 = 4.2 mm

171/328
UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

taUG-28 = 3.51 mm

taUG-22 = 5.31 mm

ta = max [taUG-28 , taUG-22 ]

= max [3.51, 5.31]

= 5.31 mm

P ⋅D ⋅K
t b2 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P
0.1014 ⋅ 767.99 ⋅ 0.989714
= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.1014
= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [5.31, 4.5]

= 5.31 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 731.67
= = 12.1288
Do 60.33

Do 60.33
= = 117.4331
t 0.51

From table G: A = 0.000089

From table CS-2 Metric: B = 8.9311 MPa

4⋅B 4 ⋅ 8.9311
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.51)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.51 + 3 = 3.51 mm

172/328
173/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.47 MPa @ 33 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 5.37 7.65

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 4.02 6.3 weld size is adequate

Pad to shell fillet (Leg42) 4 4.2 weld size is adequate

Calculations for external pressure 0.47 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [48.84, 24.42 + (8.74 − 3) + (7.2 − 3)]

= 48.84 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (7.2 − 3), 2.5 ⋅ (8.74 − 3) + 8]

= 10.51 mm

Nozzle required thickness per UG-28 trn = 0.86 mm

From UG-37(d)(1) required thickness tr = 4.2 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5.74 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 4.02 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 8 mm

tw(min) = 0.5 ⋅ tmin = 4 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 6 = 4.2 mm

174/328
UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

taUG-28 = 3.86 mm

taUG-22 = 5.37 mm

ta = max [taUG-28 , taUG-22 ]

= max [3.86, 5.37]

= 5.37 mm

P ⋅D ⋅K
t b2 = + Corrosion
2 ⋅ S ⋅ E − 0.2 ⋅ P

0.4668 ⋅ 767.99 ⋅ 0.989714

= +3
2 ⋅ 138 ⋅ 1 − 0.2 ⋅ 0.4668
= 4.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [4.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [5.37, 4.5]

= 5.37 mm

Available nozzle wall thickness new, tn = 0.875⋅8.74 = 7.65 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 731.67
= = 12.1288
Do 60.33

Do 60.33
= = 70.2179
t 0.86

From table G: A = 0.000246

From table CS-2 Metric: B = 24.5817 MPa

4⋅B 4 ⋅ 24.5817
Pa = = = 0.47 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.86)

Design thickness for external pressure Pa = 0.47 MPa

ta = t + Corrosion = 0.86 + 3 = 3.86 mm

175/328
176/328
 Nozzle Pipe #1 (N3)
ASME Section VIII Division 1, 2023 Edition Metric
Component Nozzle Pipe
Material SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Pipe NPS and Schedule NPS 2 Sch 160 DN 50
Attached To B16.9 Elbow #1 (N3)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No No No No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0536 5,466.83 1
Test horizontal 0.0055 560.42 1
Dimensions
Outer Diameter 60.33 mm
Length 400 mm
Pipe Nominal Thickness 8.74 mm

Pipe Minimum Thickness1 7.65 mm

Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 4.44 0.58
Corroded 3.08 0.75
Radiography
Longitudinal seam Seamless No RT
Left Circumferential seam Full UW-11(a) Type 1
Right Circumferential seam Full UW-11(a) Type 1
1
Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

177/328
 ASME B16.5-2020 Flange
Description NPS 2 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0536 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.2032)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

Results Summary
Governing condition UG-16
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 3.1 mm
Design thickness due to external pressure (te) 3.51 mm

Maximum allowable working pressure (MAWP) 19.3254 MPa

Maximum allowable external pressure (MAEP) 12.2766 MPa
Rated MDMT -105 °C

UCS-66 Material Toughness Requirements

0.3983⋅30.16
tr = = 0.1 mm
118 ⋅ 1 + 0.4 ⋅ 0.3983

tr ⋅ E * 0.1 ⋅ 1
Stress ratio = = = 0.0219
tn − c 7.65−3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

Design thickness, (at 121.11 °C) Appendix 1-1

P ⋅ Ro 0.3983⋅30.16
t= + Corrosion = + 3 = 3.1 mm
S ⋅ E + 0.40 ⋅ P 118 ⋅ 1.00 + 0.40 ⋅ 0.3983

Maximum allowable working pressure, (at 121.11 °C) Appendix 1-1

S ⋅E ⋅t 118 ⋅ 1.00 ⋅ (8.74 ⋅ 0.875 − 3)

P = − Ps = − 0.0535 = 19.3254 MPa
Ro − 0.40 ⋅ t 30.16−0.40 ⋅ (8.74 ⋅ 0.875 − 3)

External Pressure, (Corroded & at 33 °C) UG-28(c)

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L 731.67
= = 12.1288
Do 60.33

Do 60.33
= = 117.4331
t 0.51

From table G: A = 0.000089

From table CS-2 Metric: B = 8.9311 MPa

4⋅B 4 ⋅ 8.9311
Pa = = = 0.1014 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.51)

Design thickness for external pressure Pa = 0.1014 MPa

ta = t + Corrosion = 0.51 + 3 = 3.51 mm

Maximum Allowable External Pressure, (Corroded & at 33 °C) UG-28(c)

L 731.67
= = 12.1288
Do 60.33

Do 60.33
= = 12.9781
t 8.74 ⋅ 0.875 − 3

From table G: A = 0.007467

From table CS-2 Metric: B = 119.4952 MPa

4⋅B 4 ⋅ 119.4952
Pa = = = 12.2766 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/(8.74 ⋅ 0.875 − 3))

179/328
 B16.9 Elbow #1 (N3)
ASME Section VIII Division 1, 2023 Edition Metric
Component ASME B16.9 Elbow
Type Long Radius 90-deg
Material SA-234 WPB (II-D Metric p. 16, ln. 18)
Pipe NPS and Schedule NPS 2 Sch 160 DN 50
Attached To Liquid Outlet (N3)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No No No No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0536 5,466.83 1
Test horizontal 0.0055 560.42 1
Dimensions
Outer Diameter 60.33 mm
Nominal Thickness 8.74 mm

Minimum Thickness1 7.65 mm

Center-to-End, A 76 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 1.33 0.17
Corroded 0.92 0.22
Radiography
Longitudinal seam Seamless No RT
Left Circumferential seam Full UW-11(a) Type 1
Right Circumferential seam Full UW-11(a) Type 1
1
minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

Results Summary
Governing condition UG-16
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 3.1 mm
Design thickness due to external pressure (te) 3.51 mm

Maximum allowable working pressure (MAWP) 19.3254 MPa

Maximum allowable external pressure (MAEP) 12.2766 MPa
Rated MDMT -105 °C

180/328
 UCS-66 Material Toughness Requirements
0.3983⋅30.16
tr = = 0.1 mm
118 ⋅ 1 + 0.4 ⋅ 0.3983

tr ⋅ E * 0.1 ⋅ 1
Stress ratio = = = 0.0219
tn − c 7.65−3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

Design thickness, (at 121.11 °C) Appendix 1-1

P ⋅ Ro 0.3983⋅30.16
t= + Corrosion = + 3 = 3.1 mm
S ⋅ E + 0.40 ⋅ P 118 ⋅ 1.00 + 0.40 ⋅ 0.3983

Maximum allowable working pressure, (at 121.11 °C) Appendix 1-1

S ⋅E ⋅t 118 ⋅ 1.00 ⋅ (8.74 ⋅ 0.875 − 3)

P = − Ps = − 0.0535 = 19.3254 MPa
Ro − 0.40 ⋅ t 30.16−0.40 ⋅ (8.74 ⋅ 0.875 − 3)

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 731.67
= = 12.1288
Do 60.33

Do 60.33
= = 117.4331
t 0.51

From table G: A = 0.000089

From table CS-2 Metric: B = 8.9311 MPa

4⋅B 4 ⋅ 8.9311
Pa = = = 0.1014 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.51)

Design thickness for external pressure Pa = 0.1014 MPa

ta = t + Corrosion = 0.51 + 3 = 3.51 mm

Maximum Allowable External Pressure, (Corroded & at 33 °C) UG-28(c)

L 731.67
= = 12.1288
Do 60.33

Do 60.33
= = 12.9781
t 8.74 ⋅ 0.875 − 3

From table G: A = 0.007467

From table CS-2 Metric: B = 119.4952 MPa

4⋅B 4 ⋅ 119.4952
Pa = = = 12.2766 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/(8.74 ⋅ 0.875 − 3))

181/328
 Level Indicator Transimitter (N4 A)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #1
Orientation 90°
Nozzle center line offset to datum line 1,323 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 80 (XS) DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 49.25 mm
Pipe nominal wall thickness 5.54 mm

Pipe minimum wall thickness1 4.85 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 86.5 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.036 MPa
Welds
Inner fillet, Leg41 9 mm
Nozzle to vessel groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

182/328
 ASME B16.5-2020 Flange
Description NPS 2 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0357 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1941)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

183/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.38 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.38 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3807⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.3807

= 0.0889 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3807 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3807

= 1.06 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

184/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3807⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3807
= 3.09 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.09, 0]

= 3.09 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3807 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3807

= 4.06 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.06, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.09, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

185/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.66 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.84 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.66 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6622⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.6622
= 0.15 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.6622 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6622

= 1.85 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

186/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6622⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6622
= 3.15 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.15, 0]

= 3.15 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6622 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6622

= 4.84 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.84, 4.5]

= 4.84 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.84]

= 4.84 mm

tUG-45 = max [ta , tb ]

= max [3.15, 4.84]

= 4.84 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

187/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.28 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.28 mm

188/328
ta = max [taUG-28 , taUG-22 ]

= max [3.28, 0]

= 3.28 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014

= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.28, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 215.3508
t 0.28

From table G: A = 0.000164

From table CS-2 Metric: B = 16.3783 MPa

4⋅B 4 ⋅ 16.3783
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.28)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.28 + 3 = 3.28 mm

189/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.34 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.34 mm

190/328
ta = max [taUG-28 , taUG-22 ]

= max [3.34, 0]

= 3.34 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.34, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 175.3751
t 0.34

From table G: A = 0.000227

From table CS-2 Metric: B = 22.6253 MPa

4⋅B 4 ⋅ 22.6253
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.34)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.34 + 3 = 3.34 mm

191/328
 Level Indicator Transimitter (N4 B)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #1
Orientation 90°
Nozzle center line offset to datum line 111 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 80 (XS) DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 49.25 mm
Pipe nominal wall thickness 5.54 mm

Pipe minimum wall thickness1 4.85 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 86.5 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.0478 MPa
Welds
Inner fillet, Leg41 9 mm
Nozzle to vessel groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

192/328
 ASME B16.5-2020 Flange
Description NPS 2 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0476 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.2002)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

193/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.39 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.39 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3926⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.3926

= 0.0914 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3926 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3926

= 1.09 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

194/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3926⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3926
= 3.09 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.09, 0]

= 3.09 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3926 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3926

= 4.09 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.09, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.09, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

195/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.66 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.84 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.66 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6621⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.6621
= 0.15 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.6621 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6621

= 1.85 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

196/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6621⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6621
= 3.15 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.15, 0]

= 3.15 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6621 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6621

= 4.84 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.84, 4.5]

= 4.84 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.84]

= 4.84 mm

tUG-45 = max [ta , tb ]

= max [3.15, 4.84]

= 4.84 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

197/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.28 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.28 mm

198/328
ta = max [taUG-28 , taUG-22 ]

= max [3.28, 0]

= 3.28 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014

= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.28, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 215.3508
t 0.28

From table G: A = 0.000164

From table CS-2 Metric: B = 16.3783 MPa

4⋅B 4 ⋅ 16.3783
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.28)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.28 + 3 = 3.28 mm

199/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.34 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.34 mm

200/328
ta = max [taUG-28 , taUG-22 ]

= max [3.34, 0]

= 3.34 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.34, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 175.3751
t 0.34

From table G: A = 0.000227

From table CS-2 Metric: B = 22.6253 MPa

4⋅B 4 ⋅ 22.6253
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.34)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.34 + 3 = 3.34 mm

201/328
 Produced Water Inlet (N5)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #2
Orientation 270°
Nozzle center line offset to datum line 1,759 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 3 Sch 40 (Std) DN 80
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 77.93 mm
Pipe nominal wall thickness 5.49 mm

Pipe minimum wall thickness1 4.8 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 70.75 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.0318 MPa
Reinforcing Pad
Material specification SA-516 70 (II-D Metric p. 20, ln. 45)
Diameter, Dp 188.9 mm
Thickness, te 8 mm
Is split No
Welds
Inner fillet, Leg41 9 mm
Outer fillet, Leg42 3.57 mm
Nozzle to vessel groove weld 8 mm
Pad groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1

202/328
1
Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

ASME B16.5-2020 Flange

Description NPS 3 Class 300 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -37.61°C
Liquid static head 0.0315 MPa
Consider External Loads on Flange MAWP Rating Yes
MAWP reduction due to external loads 2.9422 MPa
MAWP rating 4.5967 MPa @ 121.11°C
MAP rating 5.11 MPa @ 21.11°C
Hydrotest rating 7.7 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
MAWP Reduction Due to External Loads
16 ⋅ M 16 ⋅ 588.5 ⋅ 1000
Pm = = = 2.7839 MPa
π ⋅ G3 π ⋅ 102.49 3

−4 ⋅ W −4 ⋅ − 1,306
Pr = = = 0.1583 MPa
π ⋅ G2 π ⋅ 102.49 2

M AW P reduction = max [Pm + P r , 0] = max [2.7839 + 0.1583, 0] = 2.9422 MPa

M AW P = M AW P − M AW P reduction − P s = 4.5967 − 2.9422 − 0.0315 = 1.623 MPa

Notes
Flange rated MDMT per UCS-66(b)(1)(b) = -37.61°C (Coincident ratio = 0.6494)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Governing thickness, tg = 4.8 mm
Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
External nozzle loadings per UG-22 govern the coincident ratio used.

tr ⋅ E * 0.84 ⋅ 1
Stress ratio = = = 0.4678
tn − c 4.8−3

MDMT limited per UCS-68(b) = -48°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

203/328
 UCS-66 Material Toughness Requirements Pad
0.3766 ⋅ 384
tr = = 1.05 mm
138 ⋅ 1 − 0.6 ⋅ 0.3766

tr ⋅ E * 1.05 ⋅ 1
Stress ratio = = = 0.2098
tn − c 8 −3

11.287 ⋅ 1
Stress ratio longitudinal = = 0.0818
138 ⋅ 1

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

204/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.38 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.8

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 1.74 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 2.5 weld size is adequate

WRC 537
Max Allow
Max Allow
Local Local
P Pr Mc Vc ML VL Mt Comb Comb Over
Load Case Primary Primary
(MPa) (N) (N-m) (N) (N-m) (N) (N-m) Stress Stress stressed
Stress Stress
(MPa) (MPa)
(MPa) (MPa)

Load case 1 0.3766 1,306 612 1,306 612 1,306 612 133.041 414 44.995 207 No

Load case 1 (Hot Shut Down) 0 1,306 612 1,306 612 1,306 612 -135.454 414 -41.948 207 No

Load case 1 (Pr Reversed) 0.3766 -1,306 612 1,306 612 1,306 612 164.481 414 58.771 207 No

Load case 1 (Pr Reversed) (Hot Shut Down) 0 -1,306 612 1,306 612 1,306 612 135.641 414 41.948 207 No

Calculations for internal pressure 0.38 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3766⋅41.96
=
118 ⋅ 1 − 0.6 ⋅ 0.3766

= 0.13 mm

Required thickness tr from UG-37(a)

205/328
 P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3766 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3766

= 1.05 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 2.49 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 3.57 = 2.5 mm

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3766⋅41.96
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3766
= 3.13 mm

taUG-22 = 3.84 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.13, 3.84]

= 3.84 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3766 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3766

= 4.05 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.05, 4.5]

= 4.5 mm

206/328
tb = min [tb3 , tb1 ]

= min [7.8, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.84, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

207/328
WRC 537 Load case 1 (Pr Reversed)

Applied Loads
Radial load, Pr -1,306 N
Circumferential moment, Mc 612 N-m

Circumferential shear, Vc 1,306 N

Longitudinal moment, ML 612 N-m
Longitudinal shear, VL 1,306 N
Torsion moment, Mt 612 N-m
Internal pressure, P 0.3766 MPa
Mean shell radius, Rm 386.5 mm
Local shell thickness, T 5 mm
Design factor 3

Maximum stresses due to the applied loads at the pad edge (includes pressure)

Rm 386.5
γ= = = 77.2565
T 5

0.875 ⋅ ro 0.875⋅94.45
β= = = 0.2138
Rm 386.5

Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local circumferential pressure stress = = 28.903 MPa
T

I ⋅ P ⋅ Ri
Local longitudinal pressure stress = = 14.451 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 164.48 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 58.77 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

208/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nϕ
3C* 4.7424 0 0 0 0 3.206 3.206 3.206 3.206
P / Rm

Nϕ
4C* 10.2009 6.888 6.888 6.888 6.888 0 0 0 0
P / Rm

Mϕ
1C 0.05 0 0 0 0 15.651 -15.651 15.651 -15.651
P

Mϕ
2C-1 0.0191 5.971 -5.971 5.971 -5.971 0 0 0 0
P

Nϕ
3A* 3.2474 0 0 0 0 -12.438 -12.438 12.438 12.438
Mc / (R2m ⋅ β)

Mϕ
1A 0.0586 0 0 0 0 -104.118 104.118 104.118 -104.118
Mc / (R m ⋅ β)

Nϕ
3B* 5.9995 -22.98 -22.98 22.98 22.98 0 0 0 0
M L / ( R2m ⋅ β)

Mϕ
1B-1 0.0158 -28.124 28.124 28.124 -28.124 0 0 0 0
ML / (R m ⋅ β)

Pressure stress* 28.903 28.903 28.903 28.903 28.903 28.903 28.903 28.903

Total circumferential stress -9.342 34.963 92.865 24.676 -68.796 108.137 164.316 -75.222

Primary membrane circumferential stress* 12.81 12.81 58.771 58.771 19.671 19.671 44.547 44.547

Nx
3C* 4.7424 3.206 3.206 3.206 3.206 0 0 0 0
P / Rm

Nx
4C* 10.2009 0 0 0 0 6.888 6.888 6.888 6.888
P / Rm

Mx
1C-1 0.0443 13.886 -13.886 13.886 -13.886 0 0 0 0
P

Mx
2C 0.03 0 0 0 0 9.391 -9.391 9.391 -9.391
P

Nx
4A* 9.1551 0 0 0 0 -35.06 -35.06 35.06 35.06
Mc / (R2m ⋅ β)

Mx
2A 0.0239 0 0 0 0 -42.485 42.485 42.485 -42.485
Mc / (R m ⋅ β)

Nx
4B* 2.9434 -11.273 -11.273 11.273 11.273 0 0 0 0
M L / ( R2m ⋅ β)

Mx
2B-1 0.0227 -40.245 40.245 40.245 -40.245 0 0 0 0
ML / (R m ⋅ β)

Pressure stress* 14.451 14.451 14.451 14.451 14.451 14.451 14.451 14.451

Total longitudinal stress -19.974 32.743 83.061 -25.2 -46.815 19.374 108.275 4.523

Primary membrane longitudinal stress* 6.385 6.385 28.93 28.93 -13.721 -13.721 56.399 56.399

Shear from Mt 2.186 2.186 2.186 2.186 2.186 2.186 2.186 2.186

Circ shear from Vc 0.883 0.883 -0.883 -0.883 0 0 0 0

Long shear from VL 0 0 0 0 -0.883 -0.883 0.883 0.883

Total Shear stress 3.068 3.068 1.303 1.303 1.303 1.303 3.068 3.068

Combined stress (PL+Pb+Q) -20.795 37.114 93.038 49.946 -68.872 108.158 164.481 79.979

* denotes primary stress.

209/328
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)

Rm 386.5
γ= = = 29.7243
T 13

0.875 ⋅ ro 0.875⋅44.45
β= = = 0.1006
Rm 386.5

Pressure stress intensity factor, I = 0.9303 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local circumferential pressure stress = = 26.89 MPa
T

I ⋅ P ⋅ Ri
Local longitudinal pressure stress = = 13.445 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 95.2 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 36.65 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

210/328
 Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nϕ
3C* 4.1526 0 0 0 0 1.082 1.082 1.082 1.082
P / Rm

Nϕ
4C* 6.027 1.565 1.565 1.565 1.565 0 0 0 0
P / Rm

Mϕ
1C 0.1378 0 0 0 0 6.385 -6.385 6.385 -6.385
P

Mϕ
2C-1 0.1028 4.764 -4.764 4.764 -4.764 0 0 0 0
P

Nϕ
3A* 0.9493 0 0 0 0 -2.972 -2.972 2.972 2.972
Mc / (R 2m ⋅ β)

Mϕ
1A 0.0991 0 0 0 0 -55.351 55.351 55.351 -55.351
M c / (Rm ⋅ β)

Nϕ
3B* 2.6152 -8.191 -8.191 8.191 8.191 0 0 0 0
ML / (R 2m ⋅ β)

Mϕ
1B-1 0.0497 -27.765 27.765 27.765 -27.765 0 0 0 0
M L / ( Rm ⋅ β)

Pressure stress* 26.89 26.89 26.89 26.89 28.903 28.903 28.903 28.903

Total circumferential stress -2.737 43.265 69.175 4.116 -21.953 75.98 94.693 -28.779

Primary membrane circumferential stress* 20.264 20.264 36.646 36.646 27.014 27.014 32.957 32.957

Nx
3C* 4.1526 1.082 1.082 1.082 1.082 0 0 0 0
P / Rm

Nx
4C* 6.027 0 0 0 0 1.565 1.565 1.565 1.565
P / Rm

Mx
1C-1 0.1406 6.516 -6.516 6.516 -6.516 0 0 0 0
P

Mx
2C 0.1051 0 0 0 0 4.875 -4.875 4.875 -4.875
P

Nx
4A* 1.3021 0 0 0 0 -4.075 -4.075 4.075 4.075
Mc / (R 2m ⋅ β)

Mx
2A 0.0555 0 0 0 0 -31.013 31.013 31.013 -31.013
M c / (Rm ⋅ β)

Nx
4B* 0.9495 -2.972 -2.972 2.972 2.972 0 0 0 0
ML / (R 2m ⋅ β)

Mx
2B-1 0.0792 -44.237 44.237 44.237 -44.237 0 0 0 0
M L / ( Rm ⋅ β)

Pressure stress* 14.451 14.451 14.451 14.451 13.445 13.445 13.445 13.445

Total longitudinal stress -25.159 50.283 69.258 -32.247 -15.203 37.073 54.972 -16.803

Primary membrane longitudinal stress* 12.562 12.562 18.506 18.506 10.935 10.935 19.085 19.085

Shear from Mt 3.792 3.792 3.792 3.792 3.792 3.792 3.792 3.792

Circ shear from Vc 0.717 0.717 -0.717 -0.717 0 0 0 0

Long shear from VL 0 0 0 0 -0.717 -0.717 0.717 0.717

Total Shear stress 4.509 4.509 3.075 3.075 3.075 3.075 4.509 4.509

Combined stress (PL+Pb+Q) -26.035 52.49 72.292 36.88 -23.146 76.222 95.196 -30.289

* denotes primary stress.

211/328
Longitudinal stress in the nozzle wall due to internal pressure + external loads

P ⋅ Ri Pr M ⋅ Ro
σ n(Pm) = − +
2 ⋅ tn π ⋅ (R2o − R2i ) I

0.3766⋅41.96 −1,306 865,498.5⋅44.45

= − +
2 ⋅ 1.8 2
π ⋅ (44.45 − 41.96 ) 2 631,224.7

=67.261 MPa

The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 118 MPa)

Shear stress in the nozzle wall due to external loads

−−−−−−− −−−−−−−−−−−−
√ VL2 + V c2 √1,306 2 + 1,306 2
σ shear = = = 5.629 MPa
π ⋅ Ri ⋅ t n π ⋅ 41.96 ⋅ 2.49

Mt 612
σ torsion = = = 22.224 MPa
2⋅π ⋅ R2i ⋅ tn 2 ⋅ π ⋅ 41.96 2 ⋅ 2.49

σ total = σshear + σtorsion = 5.629 + 22.224 = 27.853 MPa

UG-45: The total combined shear stress (27.853 MPa) ≤ allowable (0.7 ⋅ Sn = 0.7 ⋅ 118 = 82.6 MPa)

212/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.65 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.8 4.8

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 1.74 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 2.5 weld size is adequate

WRC 537
Max Allow
Max Allow
Pr Mc Vc ML VL Mt Local Local
P Comb Comb Over
Load Case Primary Primary
(MPa) (N) (N-m) (N) (N-m) (N) (N-m) Stress Stress stressed
Stress Stress
(MPa) (MPa)
(MPa) (MPa)

Load case 1 0.6467 1,306 612 1,306 612 1,306 612 153.781 414 65.735 207 No

Load case 1 (Pr Reversed) 0.6467 -1,306 612 1,306 612 1,306 612 185.2 414 79.51 207 No

Calculations for internal pressure 0.65 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6467⋅41.96
=
118 ⋅ 1 − 0.6 ⋅ 0.6467

= 0.23 mm

Required thickness tr from UG-37(a)

213/328
 P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P
0.6467 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6467

= 1.8 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 2.49 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 3.57 = 2.5 mm

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6467⋅41.96
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6467
= 3.23 mm

taUG-22 = 3.91 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.23, 3.91]

= 3.91 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6467 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6467

= 4.8 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.8, 4.5]

= 4.8 mm

tb = min [tb3 , tb1 ]

= min [7.8, 4.8]

= 4.8 mm

214/328
tUG-45 = max [ta , tb ]

= max [3.91, 4.8]

= 4.8 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

215/328
WRC 537 Load case 1 (Pr Reversed)

Applied Loads
Radial load, Pr -1,306 N
Circumferential moment, Mc 612 N-m

Circumferential shear, Vc 1,306 N

Longitudinal moment, ML 612 N-m
Longitudinal shear, VL 1,306 N
Torsion moment, Mt 612 N-m
Internal pressure, P 0.6467 MPa
Mean shell radius, Rm 386.5 mm
Local shell thickness, T 5 mm
Design factor 3

Maximum stresses due to the applied loads at the pad edge (includes pressure)

Rm 386.5
γ= = = 77.2565
T 5

0.875 ⋅ ro 0.875⋅94.45
β= = = 0.2138
Rm 386.5

Pressure stress intensity factor, I = 1 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local circumferential pressure stress = = 49.642 MPa
T

I ⋅ P ⋅ Ri
Local longitudinal pressure stress = = 24.821 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 185.2 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 79.51 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

216/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nϕ
3C* 4.7424 0 0 0 0 3.206 3.206 3.206 3.206
P / Rm

Nϕ
4C* 10.2009 6.888 6.888 6.888 6.888 0 0 0 0
P / Rm

Mϕ
1C 0.05 0 0 0 0 15.651 -15.651 15.651 -15.651
P

Mϕ
2C-1 0.0191 5.971 -5.971 5.971 -5.971 0 0 0 0
P

Nϕ
3A* 3.2474 0 0 0 0 -12.438 -12.438 12.438 12.438
Mc / (R2m ⋅ β)

Mϕ
1A 0.0586 0 0 0 0 -104.118 104.118 104.118 -104.118
Mc / (R m ⋅ β)

Nϕ
3B* 5.9995 -22.98 -22.98 22.98 22.98 0 0 0 0
M L / ( R2m ⋅ β)

Mϕ
1B-1 0.0158 -28.124 28.124 28.124 -28.124 0 0 0 0
ML / (R m ⋅ β)

Pressure stress* 49.642 49.642 49.642 49.642 49.642 49.642 49.642 49.642

Total circumferential stress 11.397 55.703 113.605 45.416 -48.056 128.877 185.055 -54.482

Primary membrane circumferential stress* 33.55 33.55 79.51 79.51 40.41 40.41 65.286 65.286

Nx
3C* 4.7424 3.206 3.206 3.206 3.206 0 0 0 0
P / Rm

Nx
4C* 10.2009 0 0 0 0 6.888 6.888 6.888 6.888
P / Rm

Mx
1C-1 0.0443 13.886 -13.886 13.886 -13.886 0 0 0 0
P

Mx
2C 0.03 0 0 0 0 9.391 -9.391 9.391 -9.391
P

Nx
4A* 9.1551 0 0 0 0 -35.06 -35.06 35.06 35.06
Mc / (R2m ⋅ β)

Mx
2A 0.0239 0 0 0 0 -42.485 42.485 42.485 -42.485
Mc / (R m ⋅ β)

Nx
4B* 2.9434 -11.273 -11.273 11.273 11.273 0 0 0 0
M L / ( R2m ⋅ β)

Mx
2B-1 0.0227 -40.245 40.245 40.245 -40.245 0 0 0 0
ML / (R m ⋅ β)

Pressure stress* 24.821 24.821 24.821 24.821 24.821 24.821 24.821 24.821

Total longitudinal stress -9.604 43.113 93.431 -14.831 -36.446 29.744 118.645 14.893

Primary membrane longitudinal stress* 16.754 16.754 39.3 39.3 -3.351 -3.351 66.769 66.769

Shear from Mt 2.186 2.186 2.186 2.186 2.186 2.186 2.186 2.186

Circ shear from Vc 0.883 0.883 -0.883 -0.883 0 0 0 0

Long shear from VL 0 0 0 0 -0.883 -0.883 0.883 0.883

Total Shear stress 3.068 3.068 1.303 1.303 1.303 1.303 3.068 3.068

Combined stress (PL+Pb+Q) 21.877 56.413 113.688 60.302 -48.201 128.891 185.2 69.644

* denotes primary stress.

217/328
Maximum stresses due to the applied loads at the nozzle OD (includes pressure)

Rm 386.5
γ= = = 29.7243
T 13

0.875 ⋅ ro 0.875⋅44.45
β= = = 0.1006
Rm 386.5

Pressure stress intensity factor, I = 0.9303 (derived from Division 2 Part 4.5)

I ⋅ P ⋅ Ri
Local circumferential pressure stress = = 46.181 MPa
T

I ⋅ P ⋅ Ri
Local longitudinal pressure stress = = 23.091 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 115.83 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 55.94 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

218/328
 Stresses at the nozzle OD per WRC Bulletin 537
Figure Y Au Al Bu Bl Cu Cl Du Dl

Nϕ
3C* 4.1526 0 0 0 0 1.082 1.082 1.082 1.082
P / Rm

Nϕ
4C* 6.027 1.565 1.565 1.565 1.565 0 0 0 0
P / Rm

Mϕ
1C 0.1378 0 0 0 0 6.385 -6.385 6.385 -6.385
P

Mϕ
2C-1 0.1028 4.764 -4.764 4.764 -4.764 0 0 0 0
P

Nϕ
3A* 0.9493 0 0 0 0 -2.972 -2.972 2.972 2.972
Mc / (R 2m ⋅ β)

Mϕ
1A 0.0991 0 0 0 0 -55.351 55.351 55.351 -55.351
M c / (Rm ⋅ β)

Nϕ
3B* 2.6152 -8.191 -8.191 8.191 8.191 0 0 0 0
ML / (R 2m ⋅ β)

Mϕ
1B-1 0.0497 -27.765 27.765 27.765 -27.765 0 0 0 0
M L / ( Rm ⋅ β)

Pressure stress* 46.181 46.181 46.181 46.181 49.642 49.642 49.642 49.642

Total circumferential stress 16.554 62.556 88.467 23.408 -1.213 96.72 115.432 -8.039

Primary membrane circumferential stress* 39.555 39.555 55.937 55.937 47.753 47.753 53.696 53.696

Nx
3C* 4.1526 1.082 1.082 1.082 1.082 0 0 0 0
P / Rm

Nx
4C* 6.027 0 0 0 0 1.565 1.565 1.565 1.565
P / Rm

Mx
1C-1 0.1406 6.516 -6.516 6.516 -6.516 0 0 0 0
P

Mx
2C 0.1051 0 0 0 0 4.875 -4.875 4.875 -4.875
P

Nx
4A* 1.3021 0 0 0 0 -4.075 -4.075 4.075 4.075
Mc / (R 2m ⋅ β)

Mx
2A 0.0555 0 0 0 0 -31.013 31.013 31.013 -31.013
M c / (Rm ⋅ β)

Nx
4B* 0.9495 -2.972 -2.972 2.972 2.972 0 0 0 0
ML / (R 2m ⋅ β)

Mx
2B-1 0.0792 -44.237 44.237 44.237 -44.237 0 0 0 0
M L / ( Rm ⋅ β)

Pressure stress* 24.821 24.821 24.821 24.821 23.091 23.091 23.091 23.091

Total longitudinal stress -14.789 60.653 79.628 -21.877 -5.557 46.719 64.618 -7.157

Primary membrane longitudinal stress* 22.932 22.932 28.875 28.875 20.581 20.581 28.73 28.73

Shear from Mt 3.792 3.792 3.792 3.792 3.792 3.792 3.792 3.792

Circ shear from Vc 0.717 0.717 -0.717 -0.717 0 0 0 0

Long shear from VL 0 0 0 0 -0.717 -0.717 0.717 0.717

Total Shear stress 4.509 4.509 3.075 3.075 3.075 3.075 4.509 4.509

Combined stress (PL+Pb+Q) 32.612 66.21 89.432 45.698 7.529 96.906 115.832 -12.128

* denotes primary stress.

219/328
Longitudinal stress in the nozzle wall due to internal pressure + external loads

P ⋅ Ri Pr M ⋅ Ro
σ n(Pm) = − +
2 ⋅ tn π ⋅ (R2o − R2i ) I

0.6467⋅41.96 −1,306 865,498.5⋅44.45

= − +
2 ⋅ 1.8 2
π ⋅ (44.45 − 41.96 ) 2 631,224.7

=70.404 MPa

The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤
S = 118 MPa)

Shear stress in the nozzle wall due to external loads

−−−−−−− −−−−−−−−−−−−
√ VL2 + V c2 √1,306 2 + 1,306 2
σ shear = = = 5.629 MPa
π ⋅ Ri ⋅ t n π ⋅ 41.96 ⋅ 2.49

Mt 612
σ torsion = = = 22.224 MPa
2⋅π ⋅ R2i ⋅ tn 2 ⋅ π ⋅ 41.96 2 ⋅ 2.49

σ total = σshear + σtorsion = 5.629 + 22.224 = 27.853 MPa

UG-45: The total combined shear stress (27.853 MPa) ≤ allowable (0.7 ⋅ Sn = 0.7 ⋅ 118 = 82.6 MPa)

220/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.8

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 1.74 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 2.5 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-28 trn = 0.35 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 2.49 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 3.57 = 2.5 mm

221/328
UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.35 mm

taUG-22 = 3.77 mm

ta = max [taUG-28 , taUG-22 ]

= max [3.35, 3.77]

= 3.77 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014
= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [7.8, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.77, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 152.55
= = 1.7159
Do 88.9

Do 88.9
= = 250.5355
t 0.35

From table G: A = 0.000191

From table CS-2 Metric: B = 19.053 MPa

4⋅B 4 ⋅ 19.053
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (88.9/0.35)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.35 + 3 = 3.35 mm

222/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.8

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 1.74 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 2.5 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-28 trn = 0.44 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 2.49 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 3.57 = 2.5 mm

223/328
UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.44 mm

taUG-22 = 3.79 mm

ta = max [taUG-28 , taUG-22 ]

= max [3.44, 3.79]

= 3.79 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [7.8, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.79, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 152.55
= = 1.7159
Do 88.9

Do 88.9
= = 202.8805
t 0.44

From table G: A = 0.000262

From table CS-2 Metric: B = 26.1726 MPa

4⋅B 4 ⋅ 26.1726
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (88.9/0.44)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.44 + 3 = 3.44 mm

224/328
 Pressure Safety Valve (N6)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #2
Orientation 270°
Nozzle center line offset to datum line 2,099 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 3 Sch 40 (Std) DN 80
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 77.93 mm
Pipe nominal wall thickness 5.49 mm

Pipe minimum wall thickness1 4.8 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 80.15 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.0285 MPa
Welds
Inner fillet, Leg41 9 mm
Nozzle to vessel groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

225/328
 ASME B16.5-2020 Flange
Description NPS 3 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0281 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1902)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

226/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.37 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.8

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.74 6.3 weld size is adequate

Calculations for internal pressure 0.37 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 0]

= 6.22 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3732⋅41.96
=
118 ⋅ 1 − 0.6 ⋅ 0.3732

= 0.13 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3732 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3732

= 1.04 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

227/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.49 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3732⋅41.96
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3732
= 3.13 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.13, 0]

= 3.13 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3732 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3732

= 4.04 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.04, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [7.8, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.13, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

228/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.65 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.8 4.8

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.74 6.3 weld size is adequate

Calculations for internal pressure 0.65 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 0]

= 6.22 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6467⋅41.96
=
118 ⋅ 1 − 0.6 ⋅ 0.6467
= 0.23 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.6467 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6467

= 1.8 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

229/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.49 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6467⋅41.96
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6467
= 3.23 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.23, 0]

= 3.23 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6467 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6467

= 4.8 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.8, 4.5]

= 4.8 mm

tb = min [tb3 , tb1 ]

= min [7.8, 4.8]

= 4.8 mm

tUG-45 = max [ta , tb ]

= max [3.23, 4.8]

= 4.8 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

230/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.8

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.74 6.3 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 0]

= 6.22 mm

Nozzle required thickness per UG-28 trn = 0.35 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.49 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.35 mm

231/328
ta = max [taUG-28 , taUG-22 ]

= max [3.35, 0]

= 3.35 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014

= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [7.8, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.35, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 152.55
= = 1.7159
Do 88.9

Do 88.9
= = 250.5355
t 0.35

From table G: A = 0.000191

From table CS-2 Metric: B = 19.053 MPa

4⋅B 4 ⋅ 19.053
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (88.9/0.35)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.35 + 3 = 3.35 mm

232/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.8

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.74 6.3 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [83.92, 41.96 + (5.49 − 3) + (8 − 3)]

= 83.92 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.49 − 3) + 0]

= 6.22 mm

Nozzle required thickness per UG-28 trn = 0.44 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.49 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.74 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.44 mm

233/328
ta = max [taUG-28 , taUG-22 ]

= max [3.44, 0]

= 3.44 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [7.8, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.44, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.49 = 4.8 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 152.55
= = 1.7159
Do 88.9

Do 88.9
= = 202.8805
t 0.44

From table G: A = 0.000262

From table CS-2 Metric: B = 26.1726 MPa

4⋅B 4 ⋅ 26.1726
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (88.9/0.44)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.44 + 3 = 3.44 mm

234/328
 Pressure Indicator (N7)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #2
Orientation 90°
Nozzle center line offset to datum line 2,119 mm
End of nozzle to shell center 539 mm
Passes through a Category A joint No
Nozzle
Description NPS 2 Sch 80 (XS) DN 50
Access opening No
Material specification SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Inside diameter, new 49.25 mm
Pipe nominal wall thickness 5.54 mm

Pipe minimum wall thickness1 4.85 mm

Corrosion allowance 3 mm
Projection available outside vessel, Lpr 86.5 mm
Projection available outside vessel to flange face, Lf 150 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.0282 MPa
Welds
Inner fillet, Leg41 9 mm
Nozzle to vessel groove weld 8 mm
Radiography
Longitudinal seam Seamless No RT
Circumferential seam Full UW-11(a) Type 1
1Pipe minimum thickness = nominal thickness times pipe tolerance factor of 0.875.

235/328
 ASME B16.5-2020 Flange
Description NPS 2 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included No
Rated MDMT -48°C
Liquid static head 0.0279 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Gasket
Type ASME B16.20 Spiral-Wound
Factor, m 3
Seating Stress, y 34.474 MPa
Thickness, T 4.45 mm
Inner Diameter 69.9 mm
Outer Diameter 85.9 mm
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.1901)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

Impact test exempt per UCS-66(d) (NPS 4 or smaller pipe) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

236/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.37 MPa @ 121.11 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.37 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3729⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.3729

= 0.0864 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3729 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3729

= 1.04 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

237/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3729⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.3729
= 3.08 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.08, 0]

= 3.08 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.3729 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3729

= 4.04 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.04, 4.5]

= 4.5 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.08, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

238/328
Reinforcement Calculations for MAWP

The thickness requirements of UG-45 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.66 MPa @ 121.11 °C The nozzle passes UG-45

A A A
A1 A2 A3 A5 treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.84 4.85

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for internal pressure 0.66 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.6621⋅27.62
=
118 ⋅ 1 − 0.6 ⋅ 0.6621
= 0.15 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.6621 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.6621

= 1.85 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

239/328
Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm
tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.6621⋅27.62
= +3
118 ⋅ 1 − 0.6 ⋅ 0.6621
= 3.15 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.15, 0]

= 3.15 mm

P ⋅R
t b1 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.6621 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.6621

= 4.84 mm

tb1 = max [tb1 , tbUG16 ]

= max [4.84, 4.5]

= 4.84 mm

tb = min [tb3 , tb1 ]

= min [6.42, 4.84]

= 4.84 mm

tUG-45 = max [ta , tb ]

= max [3.15, 4.84]

= 4.84 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

240/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.28 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.28 mm

241/328
ta = max [taUG-28 , taUG-22 ]

= max [3.28, 0]

= 3.28 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P
0.1014 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.1014

= 3.28 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.28, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.28, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 215.3508
t 0.28

From table G: A = 0.000164

From table CS-2 Metric: B = 16.3783 MPa

4⋅B 4 ⋅ 16.3783
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.28)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 0.28 + 3 = 3.28 mm

242/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.17 MPa @ 33 °C The nozzle passes UG-45

A A A1 A2 A3 A5 A treq tmin
required available welds

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.5 4.85

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
throat size (mm) throat size (mm)

Nozzle to shell fillet (Leg41) 1.78 6.3 weld size is adequate

Calculations for external pressure 0.17 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [55.25, 27.62 + (5.54 − 3) + (8 − 3)]

= 55.25 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (5.54 − 3) + 0]

= 6.35 mm

Nozzle required thickness per UG-28 trn = 0.34 mm

From UG-37(d)(1) required thickness tr = 5 mm

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(c) Weld Check

Fillet weld: tmin = min [19 mm, tn , t] = 2.54 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 1.78 mm
tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

The fillet weld size is satisfactory.

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).

UG-45 Nozzle Neck Thickness Check

taUG-28 = 3.34 mm

243/328
ta = max [taUG-28 , taUG-22 ]

= max [3.34, 0]

= 3.34 mm

P ⋅R
t b2 = + Corrosion
S ⋅ E − 0.6 ⋅ P

0.172 ⋅ 384
= +3
138 ⋅ 1 − 0.6 ⋅ 0.172

= 3.48 mm

tb2 = max [tb2 , tbUG16 ]

= max [3.48, 4.5]

= 4.5 mm

tb = min [tb3 , tb2 ]

= min [6.42, 4.5]

= 4.5 mm

tUG-45 = max [ta , tb ]

= max [3.34, 4.5]

= 4.5 mm

Available nozzle wall thickness new, tn = 0.875⋅5.54 = 4.85 mm

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 151.17
= = 2.5059
Do 60.33

Do 60.33
= = 175.3751
t 0.34

From table G: A = 0.000227

From table CS-2 Metric: B = 22.6253 MPa

4⋅B 4 ⋅ 22.6253
Pa = = = 0.17 MPa
3 ⋅ (Do /t) 3 ⋅ (60.33/0.34)

Design thickness for external pressure Pa = 0.17 MPa

ta = t + Corrosion = 0.34 + 3 = 3.34 mm

244/328
 ManWay (M1)
ASME Section VIII Division 1, 2023 Edition Metric

Note: round inside edges per UG-76(c)

Location and Orientation
Located on Cylinder #2
Orientation 180°
Nozzle center line offset to datum line 1,949 mm
End of nozzle to shell center 590 mm
Passes through a Category A joint No
Nozzle
Access opening Yes
Material specification SA-516 70 (II-D Metric p. 20, ln. 45)
Inside diameter, new 441.2 mm
Nominal wall thickness 8 mm
Corrosion allowance 3 mm
Projection available outside vessel, Lpr 61.3 mm
Projection available outside vessel to flange face, Lf 201 mm
Local vessel minimum thickness 8 mm
Liquid static head included 0.0318 MPa
Reinforcing Pad
Material specification SA-516 70 (II-D Metric p. 20, ln. 45)
Diameter, Dp 557.2 mm
Thickness, te 8 mm
Is split No
Welds
Inner fillet, Leg41 9 mm
Outer fillet, Leg42 8 mm
Nozzle to vessel groove weld 8 mm
Pad groove weld 8 mm
Radiography
Longitudinal seam Full UW-11(a) Type 1
Circumferential seam Full UW-11(a) Type 1

245/328
 ASME B16.5-2020 Flange
Description NPS 18 Class 150 WN A105
Bolt Material SA-193 B7 Bolt <= 64 (II-D Metric p. 418, ln. 32)
Blind included Yes (UG-34 Cover)
Rated MDMT -48°C
Liquid static head 0.0296 MPa
MAWP rating 1.6898 MPa @ 121.11°C
MAP rating 1.96 MPa @ 21.11°C
Hydrotest rating 3 MPa @ 21.11°C
PWHT performed No
Produced to Fine Grain Practice and
No
Supplied in Heat Treated Condition
Impact Tested No
Circumferential joint radiography Full UW-11(a) Type 1
Bore diameter, B (specified by purchaser) 441.2 mm
Gasket
Type ASME B16.20 Spiral-Wound
Description Lamons Spiral Wound W 316 SS / Flexible Graphite
Factor, m 3
Seating Stress, y 68.948 MPa
Thickness, T 4.45 mm
Inner Diameter 474.7 mm
Outer Diameter 527.1 mm
Notes
Flange rated MDMT per UCS-66(b)(3) = -105°C (Coincident ratio = 0.191)
Bolts rated MDMT per Fig UCS-66 note (c) = -48°C

UCS-66 Material Toughness Requirements Nozzle

0.3765⋅223.6
tr = = 0.61 mm
138 ⋅ 1 − 0.6 ⋅ 0.3765

tr ⋅ E * 0.61 ⋅ 1
Stress ratio = = = 0.1221
tn − c 8 −3

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

UCS-66 Material Toughness Requirements Pad

0.3765 ⋅ 384
tr = = 1.05 mm
138 ⋅ 1 − 0.6 ⋅ 0.3765

tr ⋅ E * 1.05 ⋅ 1
Stress ratio = = = 0.2097
tn − c 8 −3

11.135 ⋅ 1
Stress ratio longitudinal = = 0.0807
138 ⋅ 1

Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C

Material is exempt from impact testing at the Design MDMT of -28.89°C.

246/328
Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 0.38 MPa @ 121.11 °C
The nozzle passes UG-45
The opening is adequately reinforced

A A A1 A2 A3 A5 A treq tmin
required available welds

4.6923 28.0264 17.68 1.0981 -- 8 1.2484 3.61 8

UG-41 Weld Failure Path Analysis Summary (N)

All failure paths are stronger than the applicable weld loads

Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3
W W1-1 strength W2-2 strength W3-3 strength

-173,771 142,781 816,746 30,457 1,390,679 149,689 840,376

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 3.5 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 5.6 weld size is adequate

Calculations for internal pressure 0.38 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 447.19 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (8 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

0.3765⋅223.6
=
138 ⋅ 1 − 0.6 ⋅ 0.3765

= 0.61 mm

Required thickness tr from UG-37(a)

P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

0.3765 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 0.3765

= 1.05 mm

247/328
Area required per UG-37(c)

Allowable stresses: Sn = 138, Sv = 138, Sp = 138 MPa

Sn
fr1 = lesser of 1 or =1
Sv

Sn
fr2 = lesser of 1 or =1
Sv

Sp
fr3 = lesser of fr2 or =1
Sv

Sp
fr4 = lesser of 1 or =1
Sv

A = d ⋅ tr ⋅ F + 2 ⋅ tn ⋅ tr ⋅ F ⋅ (1 − f r1 )

= (447.19 ⋅ 1.05 ⋅ 1 + 2 ⋅ 5 ⋅ 1.05 ⋅ 1 ⋅ (1 − 1)) /100

= 4.6923 cm2

Area available from FIG. UG-37.1

A1 = larger of the following= 17.68 cm2

= d ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (447.19 ⋅ (1 ⋅ 5 − 1 ⋅ 1.05) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 1.05) ⋅ (1 − 1)) /100

= 17.68 cm 2

= 2 ⋅ (t + tn ) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − fr1 )

= (2 ⋅ (5 + 5) ⋅ (1 ⋅ 5 − 1 ⋅ 1.05) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 1.05) ⋅ (1 − 1)) /100

= 0.791 cm 2

A2 = smaller of the following= 1.0981 cm2

= 5 ⋅ (tn − trn ) ⋅ f r2 ⋅ t

= (5 ⋅ (5 − 0.61) ⋅ 1 ⋅ 5) /100

= 1.0981 cm 2

= 2 ⋅ (tn − trn ) ⋅ (2.5 ⋅ tn + te ) ⋅ fr2

= (2 ⋅ (5 − 0.61) ⋅ (2.5 ⋅ 5 + 8) ⋅ 1) /100

= 1.8006 cm 2

A41 = Le g 2 ⋅ fr3

= (7.8 2 ⋅ 1) /100

= 0.6084 cm2

248/328
(Part of the weld is outside of the limits)

A42 = Le g 2 ⋅ fr4

= (8 2 ⋅ 1 ) /100

= 0.64 cm2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm2

Area = A1 + A2 + A4 1 + A4 2 + A5

= 17.68+1.0981 + 0.6084 + 0.64 + 8

= 28.0264 cm2

As Area >= A the reinforcement is adequate.

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 3.5 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

UG-45 Nozzle Neck Thickness Check (Access Opening)

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

0.3765⋅223.6
= +3
138 ⋅ 1 − 0.6 ⋅ 0.3765
= 3.61 mm

ta = max [taUG-27 , taUG-22 ]

= max [3.61, 0]

= 3.61 mm

Available nozzle wall thickness new, tn = 8 mm

The nozzle neck thickness is adequate.

Allowable stresses in joints UG-45 and UW-15(c)

249/328
Groove weld in tension: 0.74 ⋅ 138 = 102.12 MPa

Nozzle wall in shear: 0.7 ⋅ 138 = 96.6 MPa

Inner fillet weld in shear: 0.49 ⋅ 138 = 67.62 MPa

Outer fillet weld in shear: 0.49 ⋅ 138 = 67.62 MPa

Upper groove weld in tension: 0.74 ⋅ 138 = 102.12 MPa

Strength of welded joints:

(1) Inner fillet weld in shear

π π
⋅ Nozzle OD ⋅ Leg ⋅ S i = ⋅ 457.2 ⋅ 9 ⋅ 67.62 = 437,062.79 N
2 2

(2) Outer fillet weld in shear

π π
⋅ Pad OD ⋅ Leg ⋅ S o = ⋅ 557.2 ⋅ 8 ⋅ 67.62 = 473,474.06 N
2 2

(3) Nozzle wall in shear

π π
⋅ Mean nozzle dia ⋅ tn ⋅ Sn = ⋅ 452.2 ⋅ 5 ⋅ 96.6 = 343,271.75 N
2 2

(4) Groove weld in tension

π π
⋅ Nozzle OD ⋅ tw ⋅ Sg = ⋅ 457.2 ⋅ 5 ⋅ 102.12 = 366,902.02 N
2 2

(6) Upper groove weld in tension

π π
⋅ Nozzle OD ⋅ tw ⋅ Sg = ⋅ 457.2 ⋅ 8 ⋅ 102.12 = 586,714.67 N
2 2

Loading on welds per UG-41(b)(1)

W = (A − A1 + 2 ⋅ tn ⋅ f r1 ⋅ (E 1 ⋅ t − F ⋅ tr )) ⋅ S v

= (469.2295 − 1,767.9965 + 2 ⋅ 5 ⋅ 1 ⋅ (1 ⋅ 5 − 1 ⋅ 1.05)) ⋅ 138

= -173,770.95 N

W 1-1 = (A2 + A5 + A4 1 + A4 2) ⋅ Sv

= (109.8062 + 800 + 60.8386 + 63.9999) ⋅ 138

= 142,780.99 N

W 2-2 = (A2 + A3 + A4 1 + A4 3 + 2 ⋅ tn ⋅ t ⋅ f r1 ) ⋅ Sv

= (109.8062 + 0 + 60.8386 + 0 + 2 ⋅ 5 ⋅ 5 ⋅ 1) ⋅ 138

= 30,456.72 N

W 3-3 = (A2 + A3 + A5 + A4 1 + A4 2 + A4 3 + 2 ⋅ tn ⋅ t ⋅ f r1 ) ⋅ Sv

= (109.8062 + 0 + 800 + 60.8386 + 63.9999 + 0 + 2 ⋅ 5 ⋅ 5 ⋅ 1) ⋅ 138

= 149,688.72 N

Load for path 1-1 lesser of W or W1-1 = -173,770.95 N

Path 1-1 through (2) & (3) = 473,474.06 + 343,271.75 = 816,745.81 N
Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2).

Load for path 2-2 lesser of W or W2-2 = -173,770.95 N

Path 2-2 through (1), (4), (6) = 437,062.79 + 366,902.02 + 586,714.67 = 1,390,679.47 N
Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
250/328
Load for path 3-3 lesser of W or W3-3 = -173,770.95 N
Path 3-3 through (2), (4) = 473,474.06 + 366,902.02 = 840,376.08 N
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).

Check Large Opening per Appendix 1-7(a)

Area required within 75 percent of the limits of reinforcement

= 2 / 3*A = (2 / 3)*4.6923 = 3.1282 cm2

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 335.4 mm

A1 = (2 ⋅ LR − d) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (2 ⋅ 335.4 − 447.19) ⋅ (1 ⋅ 5 − 1 ⋅ 1.05) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 1.05) ⋅ (1 − 1)

= 8.84 cm 2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm 2

Area = A1 + A2 + A3 + A4 1 + A4 2 + A4 3 + A5

= 8.84+1.0981 + 0 + 0.6084 + 0.64 + 0 + 8

= 19.1864 cm2

The area replacement requirements of Appendix 1-7(a) are satisfied.

Check Large Opening per Appendix 1-7(b)

Rn 223.6
1-7(b)(1)(a) = = 0.5823 ≤ 0.7 True
R 384

1-7(b)(1)(b) Di = 767.99 mm > 1,520 mm False

1-7(b)(1)(c) d = 447.19 mm > 1,020 mm False

−−−−−
1-7(b)(1)(c) d = 447.19 mm > 3.4 ⋅ √384 ⋅ 5 = 149.02 mm True

The opening is not within the size range defined by 1-7(b)(1)(b) and (c) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).

Rn / R = 0.5823 does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1).

% Extreme fiber elongation - UCS-79(d)

50 ⋅ t Rf 50 ⋅ 8 224.6
EF E = ( ) ⋅ (1 − ) =( ) ⋅ (1 − ) = 1.7809 %
Rf Ro 224.6 ∞

The extreme fiber elongation does not exceed 5%.

251/328
Reinforcement Calculations for MAWP

Available reinforcement per UG-37 governs the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For P = 1.29 MPa @ 121.11 °C
The nozzle passes UG-45
The opening is adequately reinforced

A A A1 A2 A3 A5 A treq tmin
required available welds

16.1726 16.1729 6.2 0.7245 -- 8 1.2484 5.1 8

UG-41 Weld Failure Path Analysis Summary (N)

All failure paths are stronger than the applicable weld loads

Weld load Weld load Path 1-1 Weld load Path 2-2 Weld load Path 3-3
W W1-1 strength W2-2 strength W3-3 strength

139,536 137,626 816,746 25,302 1,390,679 144,534 840,376

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 3.5 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 5.6 weld size is adequate

Calculations for internal pressure 1.29 MPa @ 121.11 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 447.19 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (8 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-27(c)(1)

P ⋅ Rn
t rn =
S n ⋅ E − 0.6 ⋅ P

1.2924⋅223.6
=
138 ⋅ 1 − 0.6 ⋅ 1.2924

= 2.11 mm

Required thickness tr from UG-37(a)

252/328
 P ⋅R
tr =
S ⋅ E − 0.6 ⋅ P

1.2924 ⋅ 384
=
138 ⋅ 1 − 0.6 ⋅ 1.2924

= 3.62 mm

Area required per UG-37(c)

Allowable stresses: Sn = 138, Sv = 138, Sp = 138 MPa

Sn
fr1 = lesser of 1 or =1
Sv

Sn
fr2 = lesser of 1 or =1
Sv

Sp
fr3 = lesser of fr2 or =1
Sv

Sp
fr4 = lesser of 1 or =1
Sv

A = d ⋅ tr ⋅ F + 2 ⋅ tn ⋅ tr ⋅ F ⋅ (1 − f r1 )

= (447.19 ⋅ 3.62 ⋅ 1 + 2 ⋅ 5 ⋅ 3.62 ⋅ 1 ⋅ (1 − 1)) /100

= 16.1726 cm2

Area available from FIG. UG-37.1

A1 = larger of the following= 6.2 cm2

= d ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (447.19 ⋅ (1 ⋅ 5 − 1 ⋅ 3.62) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 3.62) ⋅ (1 − 1)) /100

= 6.2 cm 2

= 2 ⋅ (t + tn ) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − fr1 )

= (2 ⋅ (5 + 5) ⋅ (1 ⋅ 5 − 1 ⋅ 3.62) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 3.62) ⋅ (1 − 1)) /100

= 0.2774 cm 2

A2 = smaller of the following= 0.7245 cm2

= 5 ⋅ (tn − trn ) ⋅ f r2 ⋅ t

= (5 ⋅ (5 − 2.11) ⋅ 1 ⋅ 5) /100

= 0.7245 cm 2

= 2 ⋅ (tn − trn ) ⋅ (2.5 ⋅ tn + te ) ⋅ fr2

= (2 ⋅ (5 − 2.11) ⋅ (2.5 ⋅ 5 + 8) ⋅ 1) /100

= 1.1884 cm 2

253/328
A41 = Le g 2 ⋅ fr3

= (7.8 2 ⋅ 1) /100

= 0.6084 cm2

(Part of the weld is outside of the limits)

A42 = Le g 2 ⋅ fr4

= (8 2 ⋅ 1 ) /100

= 0.64 cm2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm2

Area = A1 + A2 + A4 1 + A4 2 + A5

= 6.2+0.7245 + 0.6084 + 0.64 + 8

= 16.1729 cm2

As Area >= A the reinforcement is adequate.

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 3.5 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

UG-45 Nozzle Neck Thickness Check (Access Opening)

P ⋅ Rn
taUG-27 = + Corrosion
S n ⋅ E − 0.6 ⋅ P

1.2924⋅223.6
= +3
138 ⋅ 1 − 0.6 ⋅ 1.2924
= 5.1 mm

ta = max [taUG-27 , taUG-22 ]

= max [5.1, 0]

= 5.1 mm

Available nozzle wall thickness new, tn = 8 mm

The nozzle neck thickness is adequate.

254/328
Allowable stresses in joints UG-45 and UW-15(c)

Groove weld in tension: 0.74 ⋅ 138 = 102.12 MPa

Nozzle wall in shear: 0.7 ⋅ 138 = 96.6 MPa

Inner fillet weld in shear: 0.49 ⋅ 138 = 67.62 MPa

Outer fillet weld in shear: 0.49 ⋅ 138 = 67.62 MPa

Upper groove weld in tension: 0.74 ⋅ 138 = 102.12 MPa

Strength of welded joints:

(1) Inner fillet weld in shear

π π
⋅ Nozzle OD ⋅ Leg ⋅ S i = ⋅ 457.2 ⋅ 9 ⋅ 67.62 = 437,062.79 N
2 2

(2) Outer fillet weld in shear

π π
⋅ Pad OD ⋅ Leg ⋅ S o = ⋅ 557.2 ⋅ 8 ⋅ 67.62 = 473,474.06 N
2 2

(3) Nozzle wall in shear

π π
⋅ Mean nozzle dia ⋅ tn ⋅ Sn = ⋅ 452.2 ⋅ 5 ⋅ 96.6 = 343,271.75 N
2 2

(4) Groove weld in tension

π π
⋅ Nozzle OD ⋅ tw ⋅ Sg = ⋅ 457.2 ⋅ 5 ⋅ 102.12 = 366,902.02 N
2 2

(6) Upper groove weld in tension

π π
⋅ Nozzle OD ⋅ tw ⋅ Sg = ⋅ 457.2 ⋅ 8 ⋅ 102.12 = 586,714.67 N
2 2

Loading on welds per UG-41(b)(1)

W = (A − A1 + 2 ⋅ tn ⋅ f r1 ⋅ (E 1 ⋅ t − F ⋅ tr )) ⋅ S v

= (1,617.2571 − 619.9988 + 2 ⋅ 5 ⋅ 1 ⋅ (1 ⋅ 5 − 1 ⋅ 3.62)) ⋅ 138

= 139,535.9 N

W 1-1 = (A2 + A5 + A4 1 + A4 2) ⋅ Sv

= (72.4515 + 800 + 60.8386 + 63.9999) ⋅ 138

= 137,626.03 N

W 2-2 = (A2 + A3 + A4 1 + A4 3 + 2 ⋅ tn ⋅ t ⋅ f r1 ) ⋅ Sv

= (72.4515 + 0 + 60.8386 + 0 + 2 ⋅ 5 ⋅ 5 ⋅ 1) ⋅ 138

= 25,301.76 N

W 3-3 = (A2 + A3 + A5 + A4 1 + A4 2 + A4 3 + 2 ⋅ tn ⋅ t ⋅ f r1 ) ⋅ Sv

= (72.4515 + 0 + 800 + 60.8386 + 63.9999 + 0 + 2 ⋅ 5 ⋅ 5 ⋅ 1) ⋅ 138

= 144,533.76 N

Load for path 1-1 lesser of W or W1-1 = 137,626.03 N

Path 1-1 through (2) & (3) = 473,474.06 + 343,271.75 = 816,745.81 N
Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1).

255/328
Load for path 2-2 lesser of W or W2-2 = 25,301.76 N
Path 2-2 through (1), (4), (6) = 437,062.79 + 366,902.02 + 586,714.67 = 1,390,679.47 N
Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).

Load for path 3-3 lesser of W or W3-3 = 139,535.9 N

Path 3-3 through (2), (4) = 473,474.06 + 366,902.02 = 840,376.08 N
Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).

Check Large Opening per Appendix 1-7(a)

Area required within 75 percent of the limits of reinforcement

= 2 / 3*A = (2 / 3)*16.1726 = 10.7817 cm2

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 335.4 mm

A1 = (2 ⋅ LR − d) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (2 ⋅ 335.4 − 447.19) ⋅ (1 ⋅ 5 − 1 ⋅ 3.62) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 3.62) ⋅ (1 − 1)

= 3.1 cm 2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm 2

Area = A1 + A2 + A3 + A4 1 + A4 2 + A4 3 + A5

= 3.1+0.7245 + 0 + 0.6084 + 0.64 + 0 + 8

= 13.0729 cm2

The area replacement requirements of Appendix 1-7(a) are satisfied.

Check Large Opening per Appendix 1-7(b)

Rn 223.6
1-7(b)(1)(a) = = 0.5823 ≤ 0.7 True
R 384

1-7(b)(1)(b) Di = 767.99 mm > 1,520 mm False

1-7(b)(1)(c) d = 447.19 mm > 1,020 mm False

−−−−−
1-7(b)(1)(c) d = 447.19 mm > 3.4 ⋅ √384 ⋅ 5 = 149.02 mm True

The opening is not within the size range defined by 1-7(b)(1)(b) and (c) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).

Rn / R = 0.5823 does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1).

256/328
Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.1 MPa @ 33 °C
The nozzle passes UG-45
The opening is adequately reinforced

A A A1 A2 A3 A5 A treq tmin
required available welds

9.0183 14.5413 4.3355 0.9574 -- 8 1.2484 4.17 8

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 3.5 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 5.6 weld size is adequate

Calculations for external pressure 0.1 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 447.19 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (8 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-28 trn = 1.18 mm

From UG-37(d)(1) required thickness tr = 4.03 mm

Area required per UG-37(d)(1)

Allowable stresses: Sn = 138, Sv = 138, Sp = 138 MPa

Sn
fr1 = lesser of 1 or =1
Sv

Sn
fr2 = lesser of 1 or =1
Sv

Sp
fr3 = lesser of fr2 or =1
Sv

Sp
fr4 = lesser of 1 or =1
Sv

257/328
A = 0.5 ⋅ (d ⋅ tr ⋅ F + 2 ⋅ tn ⋅ tr ⋅ F ⋅ (1 − f r1 ))

= (0.5 ⋅ (447.19 ⋅ 4.03 ⋅ 1 + 2 ⋅ 5 ⋅ 4.03 ⋅ 1 ⋅ (1 − 1))) /100

= 9.0183 cm2

Area available from FIG. UG-37.1

A1 = larger of the following= 4.3355 cm2

= d ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (447.19 ⋅ (1 ⋅ 5 − 1 ⋅ 4.03) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 4.03) ⋅ (1 − 1)) /100

= 4.3355 cm 2

= 2 ⋅ (t + tn ) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − fr1 )

= (2 ⋅ (5 + 5) ⋅ (1 ⋅ 5 − 1 ⋅ 4.03) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 4.03) ⋅ (1 − 1)) /100

= 0.1942 cm 2

A2 = smaller of the following= 0.9574 cm2

= 5 ⋅ (tn − trn ) ⋅ f r2 ⋅ t

= (5 ⋅ (5 − 1.18) ⋅ 1 ⋅ 5) /100

= 0.9574 cm 2

= 2 ⋅ (tn − trn ) ⋅ (2.5 ⋅ tn + te ) ⋅ fr2

= (2 ⋅ (5 − 1.18) ⋅ (2.5 ⋅ 5 + 8) ⋅ 1) /100

= 1.5697 cm 2

A41 = Le g 2 ⋅ fr3

= (7.8 2 ⋅ 1) /100

= 0.6084 cm2

(Part of the weld is outside of the limits)

A42 = Le g 2 ⋅ fr4

= (8 2 ⋅ 1 ) /100

= 0.64 cm2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm2

Area = A1 + A2 + A4 1 + A4 2 + A5

= 4.3355+0.9574 + 0.6084 + 0.64 + 8

= 14.5413 cm2

258/328
As Area >= A the reinforcement is adequate.

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 3.5 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

UG-45 Nozzle Neck Thickness Check (Access Opening)

taUG-28 = 4.17 mm

ta = max [taUG-28 , taUG-22 ]

= max [4.17, 0]

= 4.17 mm

Available nozzle wall thickness new, tn = 8 mm

The nozzle neck thickness is adequate.

Check Large Opening per Appendix 1-7(a)

Area required within 75 percent of the limits of reinforcement

= 2 / 3*A = (2 / 3)*9.0183 = 6.0122 cm2

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 335.4 mm

A1 = (2 ⋅ LR − d) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (2 ⋅ 335.4 − 447.19) ⋅ (1 ⋅ 5 − 1 ⋅ 4.03) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 4.03) ⋅ (1 − 1)

= 2.1677 cm 2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm 2

Area = A1 + A2 + A3 + A4 1 + A4 2 + A4 3 + A5

= 2.1677+0.9574 + 0 + 0.6084 + 0.64 + 0 + 8

= 12.3735 cm2

The area replacement requirements of Appendix 1-7(a) are satisfied.

Check Large Opening per Appendix 1-7(b)

259/328
 Rn 223.6
1-7(b)(1)(a) = = 0.5823 ≤ 0.7 True
R 384

1-7(b)(1)(b) Di = 767.99 mm > 1,520 mm False

1-7(b)(1)(c) d = 447.19 mm > 1,020 mm False

−−−−−
1-7(b)(1)(c) d = 447.19 mm > 3.4 ⋅ √384 ⋅ 5 = 149.02 mm True

The opening is not within the size range defined by 1-7(b)(1)(b) and (c) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).

Rn / R = 0.5823 does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1).

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 275.26
= = 0.6020
Do 457.2

Do 457.2
= = 388.7136
t 1.18

From table G: A = 0.000296

From table CS-2 Metric: B = 29.5619 MPa

4⋅B 4 ⋅ 29.5619
Pa = = = 0.1 MPa
3 ⋅ (Do /t) 3 ⋅ (457.2/1.18)

Design thickness for external pressure Pa = 0.1 MPa

ta = t + Corrosion = 1.18 + 3 = 4.17 mm

260/328
Reinforcement Calculations for MAEP

UG-37 Area Calculation Summary (cm2) UG-45 Summary (mm)

For Pe = 0.16 MPa @ 33 °C
The nozzle passes UG-45
The opening is adequately reinforced

A A A1 A2 A3 A5 A treq tmin
required available welds

10.8396 10.8406 0.6929 0.8994 -- 8 1.2484 4.4 8

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Required weld Actual weld
Weld description Status
size (mm) size (mm)

Nozzle to pad fillet (Leg41) 3.5 6.3 weld size is adequate

Pad to shell fillet (Leg42) 2.5 5.6 weld size is adequate

Calculations for external pressure 0.16 MPa @ 33 °C

Parallel Limit of reinforcement per UG-40

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 447.19 mm

Outer Normal Limit of reinforcement per UG-40

LH = min [2.5 ⋅ (t − C ), 2.5 ⋅ (tn − Cn ) + te ]

= min [2.5 ⋅ (8 − 3), 2.5 ⋅ (8 − 3) + 8]

= 12.51 mm

Nozzle required thickness per UG-28 trn = 1.41 mm

From UG-37(d)(1) required thickness tr = 4.85 mm

Area required per UG-37(d)(1)

Allowable stresses: Sn = 138, Sv = 138, Sp = 138 MPa

Sn
fr1 = lesser of 1 or =1
Sv

Sn
fr2 = lesser of 1 or =1
Sv

Sp
fr3 = lesser of fr2 or =1
Sv

Sp
fr4 = lesser of 1 or =1
Sv

261/328
A = 0.5 ⋅ (d ⋅ tr ⋅ F + 2 ⋅ tn ⋅ tr ⋅ F ⋅ (1 − f r1 ))

= (0.5 ⋅ (447.19 ⋅ 4.85 ⋅ 1 + 2 ⋅ 5 ⋅ 4.85 ⋅ 1 ⋅ (1 − 1))) /100

= 10.8396 cm2

Area available from FIG. UG-37.1

A1 = larger of the following= 0.6929 cm2

= d ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (447.19 ⋅ (1 ⋅ 5 − 1 ⋅ 4.85) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 4.85) ⋅ (1 − 1)) /100

= 0.6929 cm 2

= 2 ⋅ (t + tn ) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E 1 ⋅ t − F ⋅ tr ) ⋅ (1 − fr1 )

= (2 ⋅ (5 + 5) ⋅ (1 ⋅ 5 − 1 ⋅ 4.85) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 4.85) ⋅ (1 − 1)) /100

= 0.031 cm 2

A2 = smaller of the following= 0.8994 cm2

= 5 ⋅ (tn − trn ) ⋅ f r2 ⋅ t

= (5 ⋅ (5 − 1.41) ⋅ 1 ⋅ 5) /100

= 0.8994 cm 2

= 2 ⋅ (tn − trn ) ⋅ (2.5 ⋅ tn + te ) ⋅ fr2

= (2 ⋅ (5 − 1.41) ⋅ (2.5 ⋅ 5 + 8) ⋅ 1) /100

= 1.4748 cm 2

A41 = Le g 2 ⋅ fr3

= (7.8 2 ⋅ 1) /100

= 0.6084 cm2

(Part of the weld is outside of the limits)

A42 = Le g 2 ⋅ fr4

= (8 2 ⋅ 1 ) /100

= 0.64 cm2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm2

Area = A1 + A2 + A4 1 + A4 2 + A5

= 0.6929+0.8994 + 0.6084 + 0.64 + 8

= 10.8406 cm2

262/328
As Area >= A the reinforcement is adequate.

UW-16(c)(2) Weld Check

Inner fillet: tmin = min [19 mm, tn , te ] = 5 mm

tc(min) = min [6 mm, 0.7 ⋅ tmin ] = 3.5 mm

tc(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 9 = 6.3 mm

Outer fillet: tmin = min [19 mm, te , t] = 5 mm

tw(min) = 0.5 ⋅ tmin = 2.5 mm

tw(actual) = 0.7 ⋅ Leg = 0.7 ⋅ 8 = 5.6 mm

UG-45 Nozzle Neck Thickness Check (Access Opening)

taUG-28 = 4.4 mm

ta = max [taUG-28 , taUG-22 ]

= max [4.4, 0]

= 4.4 mm

Available nozzle wall thickness new, tn = 8 mm

The nozzle neck thickness is adequate.

Check Large Opening per Appendix 1-7(a)

Area required within 75 percent of the limits of reinforcement

= 2 / 3*A = (2 / 3)*10.8396 = 7.2264 cm2

LR = max [d, Rn + (tn − Cn ) + (t − C )]

= max [447.19, 223.6 + (8 − 3) + (8 − 3)]

= 335.4 mm

A1 = (2 ⋅ LR − d) ⋅ (E 1 ⋅ t − F ⋅ tr ) − 2 ⋅ tn ⋅ (E1 ⋅ t − F ⋅ tr ) ⋅ (1 − f r1 )

= (2 ⋅ 335.4 − 447.19) ⋅ (1 ⋅ 5 − 1 ⋅ 4.85) − 2 ⋅ 5 ⋅ (1 ⋅ 5 − 1 ⋅ 4.85) ⋅ (1 − 1)

= 0.3465 cm 2

A5 = (Dp − d − 2 ⋅ tn ) ⋅ te ⋅ f r4

= ((557.2 − 447.19 − 2 ⋅ 5) ⋅ 8 ⋅ 1) /100

= 8 cm 2

Area = A1 + A2 + A3 + A4 1 + A4 2 + A4 3 + A5

= 0.3465+0.8994 + 0 + 0.6084 + 0.64 + 0 + 8

= 10.4942 cm2

The area replacement requirements of Appendix 1-7(a) are satisfied.

263/328
Check Large Opening per Appendix 1-7(b)

Rn 223.6
1-7(b)(1)(a) = = 0.5823 ≤ 0.7 True
R 384

1-7(b)(1)(b) Di = 767.99 mm > 1,520 mm False

1-7(b)(1)(c) d = 447.19 mm > 1,020 mm False

−−−−−
1-7(b)(1)(c) d = 447.19 mm > 3.4 ⋅ √384 ⋅ 5 = 149.02 mm True

The opening is not within the size range defined by 1-7(b)(1)(b) and (c) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).

Rn / R = 0.5823 does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1).

External Pressure, (Corroded & at 33 °C) UG-28(c)

L 275.26
= = 0.6020
Do 457.2

Do 457.2
= = 325.1503
t 1.41

From table G: A = 0.000393

From table CS-2 Metric: B = 39.1982 MPa

4⋅B 4 ⋅ 39.1982
Pa = = = 0.16 MPa
3 ⋅ (Do /t) 3 ⋅ (457.2/1.41)

Design thickness for external pressure Pa = 0.16 MPa

ta = t + Corrosion = 1.41 + 3 = 4.4 mm

264/328
 Manhole Cover
ASME Section VIII Division 1, 2023 Edition Metric
Component Bolted Cover
Material SA-105 (II-D Metric p. 20, ln. 31)
Attached To ASME B16.5/16.47 flange attached to ManWay (M1)
Impact Fine Grain Maximize MDMT/
Normalized PWHT
Tested Practice No MAWP
No No No No No
Design Design Design
Pressure (MPa) Temperature (°C) MDMT (°C)
Internal 0.3447 121.11
-28.89
External 0.1014 33
Static Liquid Head
Condition Ps (MPa) Hs (mm) SG
Operating 0.0318 3,240.7 1
Test horizontal 0.0111 1,133.45 1
Dimensions
Outer Diameter 635 mm
Bolt Circle, BC 577.85 mm
Nominal Thickness 39.6 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight and Capacity
Weight (kg) Capacity (liters)
New 98.23 0
Corroded 90.79 0
Radiography
Category A joints Seamless No RT

Results Summary
Governing condition gasket seating
Minimum thickness per UG-16 1.5 mm + 3 mm = 4.5 mm
Design thickness due to internal pressure (t) 20.71 mm
Design thickness due to external pressure (te) 10.56 mm

Design thickness due to gasket seating 35.65 mm

Maximum allowable working pressure (MAWP) 1.5756 MPa
Maximum allowable external pressure (MAEP) 2.3784 MPa
Rated MDMT -105°C

UCS-66 Material Toughness Requirements

0.3765
Stress ratio per UCS-66(b)(1)(b) = = 0.2342
1.6074
Stress ratio ≤ 0.35, MDMT per UCS-66(b)(3) = -105°C
Material is exempt from impact testing at the Design MDMT of -28.89°C.

Figure UG-34 Diameter

d = BC − 2 ⋅ hG = 577.85 − 2 ⋅ 34.42 = 509.01 mm

265/328
Gasket details from facing sketch 1(a) or (b), Column II

Gasket width N = 26.2 mm

N
b0 = = 13.1 mm
2

−−
Effective gasket seating width, b = 2.5 ⋅ √b 0 = 9.05 mm

G = OD of contact face − 2 ⋅ b = 527.1 − 2 ⋅ 9.05 = 509.01 mm

Design thickness, (at 121.11 °C) UG-34(c)(2), flange operating

Hp = 2 ⋅ b ⋅ 3.14 ⋅ G ⋅ m ⋅ P = 2 ⋅ 9.05 ⋅ 3.14 ⋅ 509.01 ⋅ 3 ⋅ 0.3765 = 32,665.26 N

H = 0.785 ⋅ G2 ⋅ P = 0.785 ⋅ 509.01 2

⋅ 0.3765 = 76,571.88 N

W m1 = H + Hp = 76,571.88 + 32,665.26 = 109,237.14 N

−−−−−−−−−−−−−−−−−
t =d ⋅√
C ⋅P 1.9 ⋅ W ⋅ h G
+ + Corrosion
S ⋅E S ⋅ E ⋅ d3
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
= 509.01 ⋅ √
0.3⋅0.3765 1.9 ⋅ 109,237.14 ⋅ 34.42
+ +3
138 ⋅ 1 138 ⋅ 1 ⋅ 509.01 3
= 20.71 mm

Design thickness, (at 21.11 °C) UG-34(c)(2), gasket seating

W m2 = 3.14 ⋅ b ⋅ G ⋅ y = 3.14 ⋅ 9.05 ⋅ 509.01 ⋅ 68.9476 = 997,007.4 N

W m1 109,237.14
Am1 = = = 6.35 cm 2
Sb (100 ⋅ 172)

W m2 997,007.4
Am2 = = = 57.97 cm 2
Sa (100 ⋅ 172)

Total area for 16 - 1.125" series 8 threaded bolts, corroded, Ab = 75.1482 cm2

(Am + Ab ) ⋅ Sa (5,796.5539 + 7,514.8237) ⋅ 172

W = = = 1,144,778.62 N
2 2

−−−−−−−−−−
t =d ⋅√
1.9 ⋅ W ⋅ h G
+ Corrosion
S ⋅ E ⋅ d3
−−−−−−−−−−−−−−−−−−−−
= 509.01 ⋅ √
1.9 ⋅ 1,144,778.62 ⋅ 34.42
3
+3
138 ⋅ 1 ⋅ 509.01
= 35.65 mm

Maximum allowable working pressure, (at 121.11 °C )

Hp = 2 ⋅ b ⋅ 3.14 ⋅ G ⋅ m ⋅ P = 2 ⋅ 9.05 ⋅ 3.14 ⋅ 509.01 ⋅ 3 ⋅ 1.6074 = 139,461.46 N

H = 0.785 ⋅ G2 ⋅ P = 0.785 ⋅ 509.01 2

⋅ 1.6074 = 326,916.93 N

W m1 = H + Hp = 326,916.93 + 139,461.46 = 466,378.38 N

266/328
 2
⋅ (( ) − ) − Ps
S ⋅E t 1.9 ⋅ W ⋅ hG
P =
C d S ⋅ E ⋅ d3
2
⋅ (( ) − 0.0318
138 ⋅ 1 36.6 1.9 ⋅ 466,378.38 ⋅ 34.42
= ) −
0.3 509.01 138 ⋅ 1 ⋅ 509.01 3
= 1.5756 MPa

Design thickness for external pressure, (at 33 °C) U-2(g)

−−−−−− −−−−−−−−−−
C ⋅ Pa 0.3⋅0.1014
t =d ⋅√ + Corrosion = 509.01 ⋅ √ + 3 = 10.56 mm
S ⋅E 138 ⋅ 1

Maximum allowable external pressure, (at 33 °C ) U-2(g)

2 2
S ⋅E 138 ⋅ 1 36.6
⋅( ) = ⋅( ) = 2.3784 MPa
t
Pa =
C d 0.3 509.01

267/328
 Support Skirt #1

ASME Section VIII Division 1, 2023 Edition Metric

Component Support Skirt
Skirt is Attached To Ellipsoidal Head-Bottom
Skirt Attachment Offset 76.74 mm down from the top seam
SA-516 70 (II-D Metric p. 20, ln. 45)
Impact Fine Grain
Material Normalized
Tested1 Practice
No No Yes
Design Temperature
Internal 121°C
External 0°C
Dimensions
Top 769.4 mm
Inner Diameter
Bottom 769.4 mm
Length (includes base ring thickness) 699 mm
Nominal Thickness 8 mm
Inner 3 mm
Corrosion
Outer 0 mm
Weight
New 104.83 kg
Corroded 65.77 kg
Joint Efficiency
Top 0.55
Bottom 0.7
1
Impact testing requirements are not checked for supports

Skirt design thickness, largest of the following + corrosion = 3.24 mm

The governing condition is due to seismic, compressive stress at the base, operating & corroded.

The skirt thickness of 8 mm is adequate.

268/328
 Results Summary
Tensile or Governing Allowable Calculated Required
Temperature
Loading Condition Compressive Skirt Stress Stress/E thickness
(°C)
Side Location (MPa) (MPa) (mm)

Tensile top -0.56 0.03

operating, corroded 121 96.61
Compressive bottom 2.58 0.13

Tensile top -0.41 0.03

operating, new 121 108.27
Compressive bottom 1.74 0.13

Tensile 138 0.94 0.03

Wind empty, corroded bottom 21.11
Compressive 96.61 1.59 0.08

Tensile 138 0.46 0.03

empty, new bottom 21.11
Compressive 108.27 1.13 0.08

Tensile top -0.56 0.03

vacuum, corroded 0 96.61
Compressive bottom 2.58 0.13

Tensile 138 2.02 0.07

operating, corroded bottom 121
Compressive 96.61 4.63 0.24

Tensile 138 1.39 0.08

operating, new bottom 121
Compressive 108.27 3.21 0.24

Tensile 138 1.17 0.04

Seismic empty, corroded bottom 21.11
Compressive 96.61 1.84 0.1

Tensile 138 0.86 0.05

empty, new bottom 21.11
Compressive 108.27 1.49 0.11

Tensile 138 2.02 0.07

vacuum, corroded bottom 0
Compressive 96.61 4.63 0.24

Loading due to wind, operating & corroded

Windward side (tensile)

Required thickness, tensile stress at base:

W 4⋅M 17,902.62 4 ⋅ 1e3 ⋅ 2,685.6

t= − + = − + = 0.0175 mm
π ⋅ D ⋅ St ⋅ E π ⋅ D 2 ⋅ St ⋅ E π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 17,240.03 4 ⋅ 1e3 ⋅ 2,029.7

t= − + = − + = 0.0289 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Leeward side (compressive)

Required thickness, compressive stress at base:

W 4⋅M 17,902.62 4 ⋅ 1e3 ⋅ 2,685.6

t= + = + = 0.13 mm
π ⋅ D ⋅ S c ⋅ Ec π ⋅ D 2 ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, compressive stress at the top:

Wt 4 ⋅ Mt 17,240.03 4 ⋅ 1e3 ⋅ 2,029.7

t= + = + = 0.12 mm
π ⋅ D t ⋅ Sc ⋅ E c 2
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Loading due to wind, operating & new

Windward side (tensile)

269/328
Required thickness, tensile stress at base:

W 4⋅M 19,842.83 4 ⋅ 1e3 ⋅ 2,753.2

t= − + = − + = 0.0215 mm
π ⋅ D ⋅ St ⋅ E 2
π ⋅ D ⋅ St ⋅ E π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 18,797.19 4 ⋅ 1e3 ⋅ 2,097.2

t= − + = − + = 0.0303 mm
π ⋅ D t ⋅ St ⋅ E π ⋅ D 2t ⋅ St ⋅ E π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Leeward side (compressive)

Required thickness, compressive stress at base:

W 4⋅M 19,842.83 4 ⋅ 1e3 ⋅ 2,753.2

t= + = + = 0.13 mm
π ⋅ D ⋅ S c ⋅ Ec π ⋅ D 2 ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Required thickness, compressive stress at the top:

Wt 4 ⋅ Mt 18,797.19 4 ⋅ 1e3 ⋅ 2,097.2

t= + = + = 0.11 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Loading due to wind, empty & corroded

Windward side (tensile)

Required thickness, tensile stress at base:

W 4⋅M 5,693.47 4 ⋅ 1e3 ⋅ 2,685.6

t= − + = − + = 0.0341 mm
π ⋅ D ⋅ St ⋅ E π ⋅ D 2 ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.7 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 5,030.88 4 ⋅ 1e3 ⋅ 2,029.7

t= − + = − + = 0.0289 mm
π ⋅ D t ⋅ St ⋅ E π ⋅ D 2t ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.55 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.55

Leeward side (compressive)

Required thickness, compressive stress at base:

W 4⋅M 5,693.47 4 ⋅ 1e3 ⋅ 2,685.6

t= + = + = 0.0822 mm
π ⋅ D ⋅ S c ⋅ Ec π ⋅ D 2 ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, compressive stress at the top:

Wt 4 ⋅ Mt 5,030.88 4 ⋅ 1e3 ⋅ 2,029.7

t= + = + = 0.0652 mm
π ⋅ D t ⋅ Sc ⋅ E c 2
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Loading due to wind, empty & new

Windward side (tensile)

Required thickness, tensile stress at base:

W 4⋅M 7,848.29 4 ⋅ 1e3 ⋅ 2,753.2

t= − + = − + = 0.0268 mm
π ⋅ D ⋅ St ⋅ E 2
π ⋅ D ⋅ St ⋅ E π ⋅ 777.4 ⋅ 138 ⋅ 0.7 π ⋅ 777.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 6,802.65 4 ⋅ 1e3 ⋅ 2,097.2

t= − + = − + = 0.0215 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 777.4 ⋅ 138 ⋅ 0.55 π ⋅ 777.4 2 ⋅ 138 ⋅ 0.55
270/328
Leeward side (compressive)

Required thickness, compressive stress at base:

W 4⋅M 7,848.29 4 ⋅ 1e3 ⋅ 2,753.2

t= + = + = 0.0833 mm
π ⋅ D ⋅ S c ⋅ Ec π ⋅ D 2 ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Required thickness, compressive stress at the top:

Wt 4 ⋅ Mt 6,802.65 4 ⋅ 1e3 ⋅ 2,097.2

t= + = + = 0.0665 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Loading due to wind, vacuum & corroded

Windward side (tensile)

Required thickness, tensile stress at base:

W 4⋅M 17,902.62 4 ⋅ 1e3 ⋅ 2,685.6

t= − + = − + = 0.0175 mm
π ⋅ D ⋅ St ⋅ E π ⋅ D 2 ⋅ St ⋅ E π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 17,240.03 4 ⋅ 1e3 ⋅ 2,029.7

t= − + = − + = 0.0289 mm
π ⋅ D t ⋅ St ⋅ E π ⋅ D 2t ⋅ St ⋅ E π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Leeward side (compressive)

Required thickness, compressive stress at base:

W 4⋅M 17,902.62 4 ⋅ 1e3 ⋅ 2,685.6

t= + = + = 0.13 mm
π ⋅ D ⋅ S c ⋅ Ec π ⋅ D 2 ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, compressive stress at the top:

Wt 4 ⋅ Mt 17,240.03 4 ⋅ 1e3 ⋅ 2,029.7

t= + = + = 0.12 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Loading due to seismic, operating & corroded

Tensile side

Required thickness, tensile stress at base:

W 4⋅M 17,902.62 4 ⋅ 1e3 ⋅ 6,882.6

t= − + = − + = 0.0734 mm
π ⋅ D ⋅ St ⋅ E 2
π ⋅ D ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.7 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 17,240.03 4 ⋅ 1e3 ⋅ 5,100.3

t= − + = − + = 0.0478 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.55 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.55

Compressive side

Required thickness, compressive stress at base:

(1 + VAceel) ⋅ W 4⋅M (1 + 0.2) ⋅ 17,902.62 4 ⋅ 1e3 ⋅ 6,882.6

t= + = + = 0.24 mm
π ⋅ D ⋅ Sc ⋅ E c π ⋅ D2 ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, compressive stress at the top:

271/328
 (1 + VAceel) ⋅ W t 4 ⋅ Mt (1 + 0.2) ⋅ 17,240.03 4 ⋅ 1e3 ⋅ 5,100.3
t= + = + = 0.2 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Loading due to seismic, operating & new

Tensile side

Required thickness, tensile stress at base:

W 4⋅M 19,842.83 4 ⋅ 1e3 ⋅ 7,558.9

t= − + = − + = 0.0807 mm
π ⋅ D ⋅ St ⋅ E π ⋅ D 2 ⋅ St ⋅ E π ⋅ 777.4 ⋅ 138 ⋅ 0.7 π ⋅ 777.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 18,797.19 4 ⋅ 1e3 ⋅ 5,589.9

t= − + = − + = 0.0538 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 777.4 ⋅ 138 ⋅ 0.55 π ⋅ 777.4 2 ⋅ 138 ⋅ 0.55

Compressive side

Required thickness, compressive stress at base:

(1 + VAceel) ⋅ W 4⋅M (1 + 0.2) ⋅ 19,842.83 4 ⋅ 1e3 ⋅ 7,558.9

t= + = + = 0.24 mm
π ⋅ D ⋅ Sc ⋅ E c 2
π ⋅ D ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Required thickness, compressive stress at the top:

(1 + VAceel) ⋅ W t 4 ⋅ Mt (1 + 0.2) ⋅ 18,797.19 4 ⋅ 1e3 ⋅ 5,589.9

t= + = + = 0.19 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Loading due to seismic, empty & corroded

Tensile side

Required thickness, tensile stress at base:

W 4⋅M 5,693.47 4 ⋅ 1e3 ⋅ 3,062.1

t= − + = − + = 0.0422 mm
π ⋅ D ⋅ St ⋅ E π ⋅ D 2 ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.7 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 5,030.88 4 ⋅ 1e3 ⋅ 2,474.6

t= − + = − + = 0.0411 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.55 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.55

Compressive side

Required thickness, compressive stress at base:

(1 + VAceel) ⋅ W 4⋅M (1 + 0.2) ⋅ 5,693.47 4 ⋅ 1e3 ⋅ 3,062.1

t= + = + = 0.0951 mm
π ⋅ D ⋅ Sc ⋅ E c π ⋅ D2 ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, compressive stress at the top:

(1 + VAceel) ⋅ W t 4 ⋅ Mt (1 + 0.2) ⋅ 5,030.88 4 ⋅ 1e3 ⋅ 2,474.6

t= + = + = 0.079 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Loading due to seismic, empty & new

Tensile side

Required thickness, tensile stress at base:

272/328
 W 4⋅M 7,848.29 4 ⋅ 1e3 ⋅ 3,810.4
t= − + = − + = 0.0498 mm
π ⋅ D ⋅ St ⋅ E 2
π ⋅ D ⋅ St ⋅ E π ⋅ 777.4 ⋅ 138 ⋅ 0.7 π ⋅ 777.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 6,802.65 4 ⋅ 1e3 ⋅ 3,015.6

t= − + = − + = 0.047 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 777.4 ⋅ 138 ⋅ 0.55 π ⋅ 777.4 2 ⋅ 138 ⋅ 0.55

Compressive side

Required thickness, compressive stress at base:

(1 + VAceel) ⋅ W 4⋅M (1 + 0.2) ⋅ 7,848.29 4 ⋅ 1e3 ⋅ 3,810.4

t= + = + = 0.11 mm
π ⋅ D ⋅ Sc ⋅ E c 2
π ⋅ D ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Required thickness, compressive stress at the top:

(1 + VAceel) ⋅ W t 4 ⋅ Mt (1 + 0.2) ⋅ 6,802.65 4 ⋅ 1e3 ⋅ 3,015.6

t= + = + = 0.0896 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 777.4 ⋅ 108.271 ⋅ 1 π ⋅ 777.4 2 ⋅ 108.271 ⋅ 1

Loading due to seismic, vacuum & corroded

Tensile side

Required thickness, tensile stress at base:

W 4⋅M 17,902.62 4 ⋅ 1e3 ⋅ 6,882.6

t= − + = − + = 0.0734 mm
π ⋅ D ⋅ St ⋅ E π ⋅ D 2 ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.7 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.7

Required thickness, tensile stress at the top:

Wt 4 ⋅ Mt 17,240.03 4 ⋅ 1e3 ⋅ 5,100.3

t= − + = − + = 0.0478 mm
π ⋅ D t ⋅ St ⋅ E 2
π ⋅ D t ⋅ St ⋅ E π ⋅ 780.4 ⋅ 138 ⋅ 0.55 π ⋅ 780.4 2 ⋅ 138 ⋅ 0.55

Compressive side

Required thickness, compressive stress at base:

(1 + VAceel) ⋅ W 4⋅M (1 + 0.2) ⋅ 17,902.62 4 ⋅ 1e3 ⋅ 6,882.6

t= + = + = 0.24 mm
π ⋅ D ⋅ Sc ⋅ E c π ⋅ D2 ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

Required thickness, compressive stress at the top:

(1 + VAceel) ⋅ W t 4 ⋅ Mt (1 + 0.2) ⋅ 17,240.03 4 ⋅ 1e3 ⋅ 5,100.3

t= + = + = 0.2 mm
π ⋅ D t ⋅ Sc ⋅ E c π ⋅ D2t ⋅ Sc ⋅ E c π ⋅ 780.4 ⋅ 96.607 ⋅ 1 π ⋅ 780.4 2 ⋅ 96.607 ⋅ 1

273/328
 Skirt Base Ring #1

Inputs
Base configuration single base plate
Base plate material SA-516 GR 70 (FGP)
Base plate allowable stress, Sp 138 MPa
Foundation compressive strength 11 MPa
Concrete ultimate 28-day strength 21 MPa
Bolt circle, BC 889 mm
Base plate inner diameter, Di 720 mm
Base plate outer diameter, Do 940 mm
Base plate thickness, tb 14 mm
Gusset separation, w 150 mm
Gusset height, h 100 mm
Gusset thickness, tg 10 mm
Anchor Bolts
Material SA-193 B7
Allowable stress, Sb 137.895 MPa
Bolt size and type 0.5" coarse threaded
Number of bolts, N 6
Corrosion allowance (applied to root radius) 0 mm
Anchor bolt clearance 9.53 mm
Bolt root area (corroded), Ab 0.81 cm2
Diameter of anchor bolt holes, db 22.23 mm
Initial bolt preload 0% (0 MPa)
Bolt at 0° No

Results Summary
Foundation
Required tr
Vessel Base V Base M W bearing
Load bolt area Base
condition (N) (N-m) (kg) 2
stress
(cm ) (mm)
(MPa)

Wind operating, corroded 1,051.1 2,685.6 1,863.4 0 3.63 0.1145

Wind operating, new 1,051.1 2,753.2 2,061.3 0 3.76 0.1225
Wind empty, corroded 1,051.1 2,685.6 618.5 0.0727 3.54 0.1087
Wind empty, new 1,051.1 2,753.2 838.2 0.0504 3.04 0.0804
Wind vacuum, corroded 1,051.1 2,685.6 1,863.4 0 3.63 0.1145
Seismic operating, corroded 2,558.4 6,882.6 1,863.4 0.1534 5.75 0.287
Seismic operating, new 2,830 7,558.9 2,061.3 0.1668 6.01 0.3136
Seismic empty, corroded 849.1 3,062.1 618.5 0.0932 4.17 0.1506
Seismic empty, new 1,150.8 3,810.4 838.2 0.1079 4.56 0.1808
Seismic vacuum, corroded 2,558.4 6,882.6 1,863.4 0.1534 5.75 0.287

Anchor bolt load (operating, corroded + Wind)

−W 4⋅M −18,274.14 4 ⋅ 2,685.6

P = + = + = − 1,031.72N
N N ⋅ BC 6 6 ⋅ 0.889

The anchor bolts are satisfactory (no net uplift on anchor bolt)
274/328
Foundation bearing stress (operating, corroded + Wind)

π ⋅ (D2o − D2i ) N ⋅ π ⋅ db2 π ⋅ (94 2 − 72 2 ) 6 ⋅ π ⋅ 2.2225 2

Ac = − = − = 2,844.9972 cm 2
4 4 4 4

π ⋅ (D4o − D4i ) π ⋅ (94 4 − 72 4 )

Ic = = = 2,513,325 cm 4
64 64

M 2,685.6
N ⋅ Ab ⋅ Preload W 2
⋅ Do 6 ⋅ 0.8129 ⋅ 0 18,274.14 2
⋅ 940
fc = + + = + + = 0.114 MPa
Ac Ac Ic 2,844.9972 100 ⋅ 2,844.9972 (10 ⋅ 2,513,325)

As fc <= 11 MPa the base plate width is satisfactory.

Base plate required thickness (operating, corroded + Wind)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.114 ⋅ 295.48 = 61.2 N

My = − 0.4435 ⋅ 0.114 ⋅ 77.3 2 = − 303.3 N

−−−−−−−− −−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 303.3
=√ = 3.63 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, operating, corroded + Wind)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 0 = 0 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91 ⋅ 0
  = 0 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 0 ⋅ 77.3

Sr = = = 0 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 5 2 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (operating, new + Wind)

−W 4⋅M −20,214.35 4 ⋅ 2,753.2

P = + = + = − 1,304.4N
N N ⋅ BC 6 6 ⋅ 0.889

The anchor bolts are satisfactory (no net uplift on anchor bolt)

Foundation bearing stress (operating, new + Wind)

π ⋅ (D2o − D2i ) N ⋅ π ⋅ db2 π ⋅ (94 2 − 72 2 ) 6 ⋅ π ⋅ 2.2225 2

Ac = − = − = 2,844.9972 cm 2
4 4 4 4

π ⋅ (D4o − D4i ) π ⋅ (94 4 − 72 4 )

Ic = = = 2,513,325 cm 4
64 64

275/328
 M 2,753.2
N ⋅ Ab ⋅ Preload W 2
⋅ Do 6 ⋅ 0.8129 ⋅ 0 20,214.35 2
⋅ 940
fc = + + = + + = 0.123 MPa
Ac Ac Ic 2,844.9972 100 ⋅ 2,844.9972 (10 ⋅ 2,513,325)

As fc <= 11 MPa the base plate width is satisfactory.

Base plate required thickness (operating, new + Wind)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.123 ⋅ 295.48 = 65.5 N

My = − 0.4435 ⋅ 0.123 ⋅ 77.3 2 = − 324.7 N

−−−−−−−− −−−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 324.72
=√ = 3.76 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, operating, new + Wind)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 0 = 0 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91 ⋅ 0
  = 0 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 0 ⋅ 77.3

Sr = = = 0 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 5 2 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (empty, corroded + Wind)

−W 4⋅M −6,065 4 ⋅ 2,685.6

P = + = + = 1,003.14N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.0727 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Support calculations (Jawad & Farr chapter 12, empty, corroded + Wind)

Base plate width, tc : 110 mm

Average base plate diameter, d: 830 mm
Base plate elastic modulus, Es : 199,947.953 MPa

Base plate yield stress, Sy : 248.211 MPa

−−
E c = 57,000 ⋅ 0.08304 ⋅ √21 = 21,689.224 MPa

Es 199,947.953
n= = = 9.2188
Ec 21,689.224

276/328
 N ⋅ Ab 6 ⋅ 81.2902
ts = = = 0.19 mm
π ⋅d π ⋅ 830

From table 12.4 for k = 0.237673:

K1 = 2.5779, K2 = 1.3336

L1 = 8.5718, L2 = 19.2542, L3 = 6.1666

Total tensile force on bolting

M − W ⋅ (L 1 + L3 ) 2,685.6−6,065 ⋅ (0.2177 + 0.1566)

T = = = 642.98 N
L2 + L3 0.4891+0.1566

Tensile stress in bolts use the larger of fs or bolt preload = 0 MPa

T 642.98
fs = = = 3.213 MPa
ts ⋅ ( ) 0.19 ⋅ ( )
d 830
2
⋅ K1 2
⋅ 2.5779

Total compressive load on foundation

C c = T + W + Bolt Preload = 642.98 + 6,065 + 0 = 6,707.98 N

Foundation bearing stress

Cc 6,707.98
fc = = = 0.109 MPa
((tc − ts ) + n ⋅ ts ) ⋅ ( ) ((110 − 0.19) + 9.2188 ⋅ 0.19) ⋅ ( )
d 830
2
⋅ K2 2
⋅ 1.3336

As fc <= 11 MPa the base plate width is satisfactory.

1 1
k= = 3.213
= 0.237673
fs
1+ 1 + 9.2188⋅0.109
n⋅fc

Base plate required thickness (empty, corroded + Wind)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.109 ⋅ 295.48 = 58.1 N

My = − 0.4435 ⋅ 0.109 ⋅ 77.3 2 = − 288 N

−−−−−−−− −−−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 287.96
=√ = 3.54 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, empty, corroded + Wind)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 3.213 = 261.19 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅261.19
  = 1.45 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

277/328
 1.5 ⋅ F ⋅ b 1.5 ⋅ 261.19 ⋅ 77.3
Sr = = = 1.93 MPa
gussets ⋅ π ⋅ t2sk ⋅h 2 ⋅ π ⋅ 52 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (empty, new + Wind)

−W 4⋅M −8,219.81 4 ⋅ 2,753.2

P = + = + = 694.69N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.0504 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Foundation bearing stress (empty, new + Wind)

π ⋅ (D2o − D2i ) N ⋅ π ⋅ db2 π ⋅ (94 2 − 72 2 ) 6 ⋅ π ⋅ 2.2225 2

Ac = − = − = 2,844.9972 cm 2
4 4 4 4

π ⋅ (D4o − D4i ) π ⋅ (94 4 − 72 4 )

Ic = = = 2,513,325 cm 4
64 64

M 2,753.2
N ⋅ Ab ⋅ Preload W 2
⋅ Do 6 ⋅ 0.8129 ⋅ 0 8,219.81 2
⋅ 940
fc = + + = + + = 0.08 MPa
Ac Ac Ic 2,844.9972 100 ⋅ 2,844.9972 (10 ⋅ 2,513,325)

As fc <= 11 MPa the base plate width is satisfactory.

Base plate required thickness (empty, new + Wind)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.08 ⋅ 295.48 = 42.9 N

My = − 0.4435 ⋅ 0.08 ⋅ 77.3 2 = − 213 N

−−−−−−−− −−−−−−
tr = √
6 ⋅ M max 6 ⋅ 213
=√ = 3.04 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, empty, new + Wind)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 8.546 = 694.69 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅694.69
  = 2.36 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 694.69 ⋅ 77.3

Sr = = = 5.13 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 52 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (vacuum, corroded + Wind)

278/328
 −W 4⋅M −18,274.14 4 ⋅ 2,685.6
P = + = + = − 1,031.72N
N N ⋅ BC 6 6 ⋅ 0.889

The anchor bolts are satisfactory (no net uplift on anchor bolt)

Foundation bearing stress (vacuum, corroded + Wind)

π ⋅ (D2o − D2i ) N ⋅ π ⋅ db2 π ⋅ (94 2 − 72 2 ) 6 ⋅ π ⋅ 2.2225 2

Ac = − = − = 2,844.9972 cm 2
4 4 4 4

π ⋅ (D4o − D4i ) π ⋅ (94 4 − 72 4 )

Ic = = = 2,513,325 cm 4
64 64

M 2,685.6
N ⋅ Ab ⋅ Preload W 2
⋅ Do 6 ⋅ 0.8129 ⋅ 0 18,274.14 2
⋅ 940
fc = + + = + + = 0.114 MPa
Ac Ac Ic 2,844.9972 100 ⋅ 2,844.9972 (10 ⋅ 2,513,325)

As fc <= 11 MPa the base plate width is satisfactory.

Base plate required thickness (vacuum, corroded + Wind)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.114 ⋅ 295.48 = 61.2 N

My = − 0.4435 ⋅ 0.114 ⋅ 77.3 2 = − 303.3 N

−−−−−−−− −−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 303.3
=√ = 3.63 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, vacuum, corroded + Wind)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 0 = 0 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91 ⋅ 0
  = 0 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 0 ⋅ 77.3

Sr = = = 0 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 5 2 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (operating, corroded + Seismic)

−W 4⋅M −18,274.14 4 ⋅ 6,882.6

P = + = + = 2,115.63N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.1534 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Support calculations (Jawad & Farr chapter 12, operating, corroded + Seismic)
279/328
Base plate width, tc : 110 mm
Average base plate diameter, d: 830 mm
Base plate elastic modulus, Es : 199,947.953 MPa

Base plate yield stress, Sy : 248.211 MPa

−−
E c = 57,000 ⋅ 0.08304 ⋅ √21 = 21,689.224 MPa

Es 199,947.953
n= = = 9.2188
Ec 21,689.224

N ⋅ Ab 6 ⋅ 81.2902
ts = = = 0.19 mm
π ⋅d π ⋅ 830

From table 12.4 for k = 0.37711:

K1 = 2.2738, K2 = 1.7087

L1 = 4.0125, L2 = 15.8792, L3 = 9.7343

Total tensile force on bolting

M − W ⋅ (L 1 + L3 ) 6,882.6−18,274.14 ⋅ (0.1019 + 0.2473)

T = = = 771.37 N
L2 + L3 0.4033+0.2473

Tensile stress in bolts use the larger of fs or bolt preload = 0 MPa

T 771.37
fs = = = 4.37 MPa
ts ⋅ ( ) 0.19 ⋅ ( )
d 830
2
⋅ K1 2
⋅ 2.2738

Total compressive load on foundation

C c = T + (1 + VAceel) ⋅ W + Bolt Preload = 771.37 + (1 + 0.2) ⋅ 18,274.14 + 0 = 22,700.33 N

Foundation bearing stress

Cc 22,700.33
fc = = = 0.287 MPa
((tc − ts ) + n ⋅ ts ) ⋅ ( ) ((110 − 0.19) + 9.2188 ⋅ 0.19) ⋅ ( )
d 830
2
⋅ K2 2
⋅ 1.7087

As fc <= 11 MPa the base plate width is satisfactory.

1 1
k= = = 0.37711
fs 4.37
1+ 1 + 9.2188⋅0.287
n⋅fc

Base plate required thickness (operating, corroded + Seismic)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.287 ⋅ 295.48 = 153.4 N

My = − 0.4435 ⋅ 0.287 ⋅ 77.3 2 = − 760.6 N

−−−−−−−− −−−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 760.56
=√ = 5.75 mm
Sp 138

280/328
The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, operating, corroded + Seismic)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 4.37 = 355.26 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅355.26
  = 1.69 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w2 + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 355.26 ⋅ 77.3

Sr = = = 2.62 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 52 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (operating, new + Seismic)

−W 4⋅M −20,214.35 4 ⋅ 7,558.9

P = + = + = 2,299.42N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.1668 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Support calculations (Jawad & Farr chapter 12, operating, new + Seismic)

Base plate width, tc : 110 mm

Average base plate diameter, d: 830 mm
Base plate elastic modulus, Es : 199,947.953 MPa

Base plate yield stress, Sy : 248.211 MPa

−−
E c = 57,000 ⋅ 0.08304 ⋅ √21 = 21,689.224 MPa

Es 199,947.953
n= = = 9.2188
Ec 21,689.224

N ⋅ Ab 6 ⋅ 81.2902
ts = = = 0.19 mm
π ⋅d π ⋅ 830

From table 12.4 for k = 0.384533:

K1 = 2.2578, K2 = 1.7267

L1 = 3.7752, L2 = 15.7007, L3 = 9.9188

Total tensile force on bolting

M − W ⋅ (L 1 + L3 ) 7,558.9−20,214.35 ⋅ (0.0959 + 0.2519)

T = = = 811.12 N
L2 + L3 0.3988+0.2519

Tensile stress in bolts use the larger of fs or bolt preload = 0 MPa

T 811.12
fs = = = 4.628 MPa
ts ⋅ ( ) 0.19 ⋅ ( )
d 830
2
⋅ K1 2
⋅ 2.2578

281/328
Total compressive load on foundation

C c = T + (1 + VAceel) ⋅ W + Bolt Preload = 811.12 + (1 + 0.2) ⋅ 20,214.35 + 0 = 25,068.34 N

Foundation bearing stress

Cc 25,068.34
fc = = = 0.314 MPa
((tc − ts ) + n ⋅ ts ) ⋅ ( ) ((110 − 0.19) + 9.2188 ⋅ 0.19) ⋅ ( )
d 830
2
⋅ K2 2
⋅ 1.7267

As fc <= 11 MPa the base plate width is satisfactory.

1 1
k= = = 0.384533
fs 4.628
1+ 1 + 9.2188⋅0.314
n⋅fc

Base plate required thickness (operating, new + Seismic)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.314 ⋅ 295.48 = 167.6 N

My = − 0.4435 ⋅ 0.314 ⋅ 77.3 2 = − 831.2 N

−−−−−−−− −−−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 831.15
=√ = 6.01 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, operating, new + Seismic)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 4.628 = 376.2 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅376.2
  = 1.74 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 376.2 ⋅ 77.3

Sr = = = 2.78 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 5 2 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (empty, corroded + Seismic)

−W 4⋅M −6,065 4 ⋅ 3,062.1

P = + = + = 1,285.48N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.0932 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Support calculations (Jawad & Farr chapter 12, empty, corroded + Seismic)

282/328
Base plate width, tc : 110 mm
Average base plate diameter, d: 830 mm
Base plate elastic modulus, Es : 199,947.953 MPa

Base plate yield stress, Sy : 248.211 MPa

−−
E c = 57,000 ⋅ 0.08304 ⋅ √21 = 21,689.224 MPa

Es 199,947.953
n= = = 9.2188
Ec 21,689.224

N ⋅ Ab 6 ⋅ 81.2902
ts = = = 0.19 mm
π ⋅d π ⋅ 830

From table 12.4 for k = 0.197851:

K1 = 2.6654, K2 = 1.2113

L1 = 9.8726, L2 = 20.1934, L3 = 5.1409

Total tensile force on bolting

M − W ⋅ (L 1 + L3 ) 3,062.1−6,065 ⋅ (0.2508 + 0.1306)

T = = = 1,164.4 N
L2 + L3 0.5129+0.1306

Tensile stress in bolts use the larger of fs or bolt preload = 0 MPa

T 1,164.4
fs = = = 5.628 MPa
ts ⋅ ( ) 0.19 ⋅ ( )
d 830
2
⋅ K1 2
⋅ 2.6654

Total compressive load on foundation

C c = T + (1 + VAceel) ⋅ W + Bolt Preload = 1,164.4 + (1 + 0.2) ⋅ 6,065 + 0 = 8,442.39 N

Foundation bearing stress

Cc 8,442.39
fc = = = 0.151 MPa
((tc − ts ) + n ⋅ ts ) ⋅ ( ) ((110 − 0.19) + 9.2188 ⋅ 0.19) ⋅ ( )
d 830
2
⋅ K2 2
⋅ 1.2113

As fc <= 11 MPa the base plate width is satisfactory.

1 1
k= = 5.628
= 0.197851
fs
1+ 1 + 9.2188⋅0.151
n⋅fc

Base plate required thickness (empty, corroded + Seismic)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.151 ⋅ 295.48 = 80.5 N

My = − 0.4435 ⋅ 0.151 ⋅ 77.3 2 = − 399 N

−−−−−−−− −−−−−−
tr = √
6 ⋅ M max 6 ⋅ 399
=√ = 4.17 mm
Sp 138

The base plate thickness is satisfactory.

283/328
Base plate bolt load (Jawad & Farr eq. 12.13, empty, corroded + Seismic)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 5.628 = 457.47 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅457.47
  = 1.91 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 457.47 ⋅ 77.3

Sr = = = 3.38 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 52 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (empty, new + Seismic)

−W 4⋅M −8,219.81 4 ⋅ 3,810.4

P = + = + = 1,487.48N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.1079 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Support calculations (Jawad & Farr chapter 12, empty, new + Seismic)

Base plate width, tc : 110 mm

Average base plate diameter, d: 830 mm
Base plate elastic modulus, Es : 199,947.953 MPa

Base plate yield stress, Sy : 248.211 MPa

−−
E c = 57,000 ⋅ 0.08304 ⋅ √21 = 21,689.224 MPa

Es 199,947.953
n= = = 9.2188
Ec 21,689.224

N ⋅ Ab 6 ⋅ 81.2902
ts = = = 0.19 mm
π ⋅d π ⋅ 830

From table 12.4 for k = 0.230495:

K1 = 2.5935, K2 = 1.3124

L1 = 8.8044, L2 = 19.4231, L3 = 5.9835

Total tensile force on bolting

M − W ⋅ (L 1 + L3 ) 3,810.4−8,219.81 ⋅ (0.2236 + 0.152)

T = = = 1,120.3 N
L2 + L3 0.4933+0.152

Tensile stress in bolts use the larger of fs or bolt preload = 0 MPa

T 1,120.3
fs = = = 5.565 MPa
ts ⋅ ( 2 ) ⋅ K1 0.19 ⋅ ( )
d 830
2
⋅ 2.5935

Total compressive load on foundation

284/328
C c = T + (1 + VAceel) ⋅ W + Bolt Preload = 1,120.3 + (1 + 0.2) ⋅ 8,219.81 + 0 = 10,984.07 N

Foundation bearing stress

Cc 10,984.07
fc = = = 0.181 MPa
((tc − ts ) + n ⋅ ts ) ⋅ ( ) ((110 − 0.19) + 9.2188 ⋅ 0.19) ⋅ ( )
d 830
2
⋅ K2 2
⋅ 1.3124

As fc <= 11 MPa the base plate width is satisfactory.

1 1
k= = 5.565
= 0.230495
fs
1+ 1 + 9.2188⋅0.181
n⋅fc

Base plate required thickness (empty, new + Seismic)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.181 ⋅ 295.48 = 96.6 N

My = − 0.4435 ⋅ 0.181 ⋅ 77.3 2 = − 479.1 N

−−−−−−−− −−−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 479.14
=√ = 4.56 mm
Sp 138

The base plate thickness is satisfactory.

Base plate bolt load (Jawad & Farr eq. 12.13, empty, new + Seismic)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 5.565 = 452.35 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅452.35
  = 1.9 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 452.35 ⋅ 77.3

Sr = = = 3.34 MPa
gussets ⋅ π ⋅ t2sk ⋅ h 2 ⋅ π ⋅ 52 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

Anchor bolt load (vacuum, corroded + Seismic)

−W 4⋅M −18,274.14 4 ⋅ 6,882.6

P = + = + = 2,115.63N
N N ⋅ BC 6 6 ⋅ 0.889

P
Required area per bolt = = 0.1534 cm2
Sb

The area provided (0.8129 cm2) by the specified anchor bolt is adequate.

Support calculations (Jawad & Farr chapter 12, vacuum, corroded + Seismic)

285/328
Base plate width, tc : 110 mm
Average base plate diameter, d: 830 mm
Base plate elastic modulus, Es : 199,947.953 MPa

Base plate yield stress, Sy : 248.211 MPa

−−
E c = 57,000 ⋅ 0.08304 ⋅ √21 = 21,689.224 MPa

Es 199,947.953
n= = = 9.2188
Ec 21,689.224

N ⋅ Ab 6 ⋅ 81.2902
ts = = = 0.19 mm
π ⋅d π ⋅ 830

From table 12.4 for k = 0.37711:

K1 = 2.2738, K2 = 1.7087

L1 = 4.0125, L2 = 15.8792, L3 = 9.7343

Total tensile force on bolting

M − W ⋅ (L 1 + L3 ) 6,882.6−18,274.14 ⋅ (0.1019 + 0.2473)

T = = = 771.37 N
L2 + L3 0.4033+0.2473

Tensile stress in bolts use the larger of fs or bolt preload = 0 MPa

T 771.37
fs = = = 4.37 MPa
ts ⋅ ( ) 0.19 ⋅ ( )
d 830
2
⋅ K1 2
⋅ 2.2738

Total compressive load on foundation

C c = T + (1 + VAceel) ⋅ W + Bolt Preload = 771.37 + (1 + 0.2) ⋅ 18,274.14 + 0 = 22,700.33 N

Foundation bearing stress

Cc 22,700.33
fc = = = 0.287 MPa
((tc − ts ) + n ⋅ ts ) ⋅ ( ) ((110 − 0.19) + 9.2188 ⋅ 0.19) ⋅ ( )
d 830
2
⋅ K2 2
⋅ 1.7087

As fc <= 11 MPa the base plate width is satisfactory.

1 1
k= = = 0.37711
fs 4.37
1+ 1 + 9.2188⋅0.287
n⋅fc

Base plate required thickness (vacuum, corroded + Seismic)

l
From Brownell & Young, Table 10.3:, = 0.2616
b

2
Mx = 0.0061 ⋅ 0.287 ⋅ 295.48 = 153.4 N

My = − 0.4435 ⋅ 0.287 ⋅ 77.3 2 = − 760.6 N

−−−−−−−− −−−−−−−−
tr = √
6 ⋅ M max 6 ⋅ 760.56
=√ = 5.75 mm
Sp 138

The base plate thickness is satisfactory.

286/328
Base plate bolt load (Jawad & Farr eq. 12.13, vacuum, corroded + Seismic)

Bolt load = Ab ⋅ f s = 0.8129 ⋅ 100 ⋅ 4.37 = 355.26 N

−−−−−−−−−−−− −−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

tr =  =
3.91 ⋅ F 3.91⋅355.26
  = 1.69 mm
⎷ Sy ⋅ ( w + 2⋅l − db ⋅ ( w + 2⋅l )) ⎷ 248.211 ⋅ ( 150 + 2⋅51.8 − 22.23 ⋅ ( 150 ))
2⋅b w 2 1 2⋅77.3 150 2 1
+ 2⋅51.8

The base plate thickness is satisfactory.

Check skirt for gusset reaction (Jawad & Farr eq. 12.14)

1.5 ⋅ F ⋅ b 1.5 ⋅ 355.26 ⋅ 77.3

Sr = = = 2.62 MPa
gussets ⋅ π ⋅ t2sk ⋅h 2 ⋅ π ⋅ 52 ⋅ 100

As Sr <= 207 MPa the skirt thickness is adequate to resist the gusset reaction.

287/328
 Seismic Code
Building Code: UBC 1997 ground supported
Seismic Zone 2B
Seismic Zone Factor (Table 16-I), Z 0.2000
R Factor (Table 16-P), R 2.2000
Soil profile (Table 16-Q) SD
Importance Factor, I 1.0000
Vertical Accelerations Considered Yes
Force Multiplier 0.3333
Minimum Weight Multiplier 0.2000
Hazardous, toxic, or explosive contents No
Vessel Characteristics
Height 10.9168 ft (3.33 m)
Operating, Corroded 4,108 lb (1,863 kg)
Weight Empty, Corroded 1,363 lb (618 kg)
Vacuum, Corroded 4,108 lb (1,863 kg)
Period of Vibration Calculation
Operating, Corroded 0.038 sec (f = 26.1 Hz)
Fundamental Period, T Empty, Corroded 0.023 sec (f = 43.3 Hz)
Vacuum, Corroded 0.038 sec (f = 26.5 Hz)

The fundamental period of vibration T (above) is calculated using the Rayleigh method of approximation

−−−−−−−−−− −−
∑(W i ⋅ yi2 )
T =2⋅π ⋅√ , where
g ⋅ ∑(W i ⋅ y i )

W i is the weight of the ith lumped mass, and

y i is its deflection when the system is treated as a cantilever beam.

Seismic Shear Reports:

Operating, Corroded
Empty, Corroded
Vacuum, Corroded

Base Shear Calculations

Seismic Shear Report: Operating, Corroded

Elevation of Bottom Elastic Modulus E Inertia I Seismic Shear at Bending Moment at
Component
above Base (mm) (MPa) (m4) Bottom (N) Bottom (N-m)

Ellipsoidal Head-Top 3,079.74 196,733.3 * 306.6 35.1

Cylinder #2 2,279.74 196,733.3 0.0009 1,545.6 1,810.5

Cylinder #1 775.74 196,733.3 0.0009 2,472.1 4,913.6

Ellipsoidal Head-Bottom (top) 699 196,733.3 * 2,495.8 5,104.2

Support Skirt #1 0 196,740.0 0.001476 2,558.4 6,882.6

*Moment of Inertia I varies over the length of the component

288/328
 Seismic Shear Report: Empty, Corroded
Elevation of Bottom Elastic Modulus E Inertia I Seismic Shear at Bending Moment at
Component
above Base (mm) (MPa) (m4) Bottom (N) Bottom (N-m)

Ellipsoidal Head-Top 3,079.74 202,272.2 * 120.2 17.1

Cylinder #2 2,279.74 202,272.2 0.0009 637.4 1,339.7

Cylinder #1 775.74 202,272.2 0.0009 807.4 2,414.6

Ellipsoidal Head-Bottom (top) 699 202,272.2 * 812.6 2,476.8

Support Skirt #1 0 202,272.2 0.001476 849.1 3,062.1

*Moment of Inertia I varies over the length of the component

Seismic Shear Report: Vacuum, Corroded

Elevation of Bottom Elastic Modulus E Inertia I Seismic Shear at Bending Moment at
Component
above Base (mm) (MPa) (m4) Bottom (N) Bottom (N-m)

Ellipsoidal Head-Top 3,079.74 201,573.3 * 306.6 35.1

Cylinder #2 2,279.74 201,573.3 0.0009 1,545.6 1,810.5

Cylinder #1 775.74 201,573.3 0.0009 2,472.1 4,913.6

Ellipsoidal Head-Bottom (top) 699 201,573.3 * 2,495.8 5,104.2

Support Skirt #1 0 203,750.0 0.001476 2,558.4 6,882.6

*Moment of Inertia I varies over the length of the component

Vertical Acceleration Term, VAccel

Factor is applied to dead load.

Compressive Side: = 1.0 + VAccel

VAccel Term is:

greater of (Force Mult * Base Shear / Weight) or (Min. Weight Mult.)
Force multiplier = 0.3333 Minimum Weight Multiplier = 0.2000
Force Mult * Shear V
Condition Base Shear ( N) Weight ( kg) Accel
Weight
Operating, Corroded 2,558.4 1,863.4 0.0467 0.2
Operating, New 2,830 2,061.3 0.0467 0.2
Empty, Corroded 849.1 618.5 0.0467 0.2
Empty, New 1,150.8 838.2 0.0467 0.2
Vacuum, Corroded 2,558.4 1,863.4 0.0467 0.2

Base Shear Calculations

Operating, Corroded
Empty, Corroded
Vacuum, Corroded

Base Shear Calculations: Operating, Corroded

Rigid structure per 1634.3, p2-21, since period of vibration = 0.038 < 0.06 .
W 4,108.1899
V = 0.70 ⋅ C a ⋅ I ⋅ = 0.70 ⋅ 0.2800 ⋅ 1.0000 ⋅ = 575.15 lb(260.88 kg)
1.4 1.4

Base Shear Calculations: Empty, Corroded

Rigid structure per 1634.3, p2-21, since period of vibration = 0.023 < 0.06 .
W 1,363.4655
V = 0.70 ⋅ C a ⋅ I ⋅ = 0.70 ⋅ 0.2800 ⋅ 1.0000 ⋅ = 190.89 lb(86.58 kg)
1.4 1.4

Base Shear Calculations: Vacuum, Corroded

289/328
Rigid structure per 1634.3, p2-21, since period of vibration = 0.038 < 0.06 .
W 4,108.1899
V = 0.70 ⋅ C a ⋅ I ⋅ = 0.70 ⋅ 0.2800 ⋅ 1.0000 ⋅ = 575.15 lb(260.88 kg)
1.4 1.4

290/328
 Wind Code
Building Code: UBC 1997
Elevation of base above grade 0.00 ft (0.00 m)
Increase effective outer diameter by 0.00 ft (0.00 m)
Wind Force Coefficient, Cq 0.5400
Basic Wind Speed, V 100.00 mph (44.7040 m/s)
Importance Factor, Iw 1.0000
Exposure Category B
Hazardous, toxic, or explosive contents No
Vessel Characteristics
Height, h 10.9168 ft (3.3274 m)
Operating, Corroded 2.5038 ft (0.7632 m)
Effective Width
Empty, Corroded 2.5038 ft (0.7632 m)
Operating, Corroded 26.1268 Hz
Fundamental Frequency
Empty, Corroded 43.2914 Hz
Operating, Corroded 0.0248
Damping coefficient, b
Empty, Corroded 0.0200

Wind Deflection Reports:

Operating, Corroded
Empty, Corroded
Vacuum, Corroded

Wind Pressure Calculations

Wind Deflection Report: Operating, Corroded

Elevation of Platform Total Wind Bending
Effective OD Elastic Modulus Inertia Deflection
Component Bottom above Wind Shear at Shear at Moment at
(m) E (MPa) I (m4) at Top (mm)
Base (mm) Bottom (N) Bottom (N) Bottom (N-m)

Ellipsoidal Head-Top 3,079.74 0.78 196,733.3 * 0 65.6 7 0.05

Cylinder #2 2,279.74 0.78 196,733.3 0.0009075 0 321 1,156.9 0.05

Cylinder #1 775.74 0.78 196,733.3 0.0009075 0 801.2 1,967.2 0.03

Ellipsoidal Head-Bottom (top) 699 0.78 196,733.3 * 0 825.8 2,029.7 0

Support Skirt #1 0 0.79 196,740.0 0.0009333 0 1,051.1 2,685.6 0

*Moment of Inertia I varies over the length of the component

Wind Deflection Report: Empty, Corroded

Elevation of Platform Total Wind Bending
Effective OD Elastic Modulus Inertia Deflection
Component Bottom above Wind Shear at Shear at Moment at
(m) E (MPa) I (m4) at Top (mm)
Base (mm) Bottom (N) Bottom (N) Bottom (N-m)

Ellipsoidal Head-Top 3,079.74 0.78 202,272.2 * 0 65.6 7 0.05

Cylinder #2 2,279.74 0.78 202,272.2 0.0009075 0 321 1,156.9 0.05

Cylinder #1 775.74 0.78 202,272.2 0.0009075 0 801.2 1,967.2 0.03

Ellipsoidal Head-Bottom (top) 699 0.78 202,272.2 * 0 825.8 2,029.7 0

Support Skirt #1 0 0.79 202,272.2 0.0009333 0 1,051.1 2,685.6 0

*Moment of Inertia I varies over the length of the component

291/328
 Wind Deflection Report: Vacuum, Corroded
Elevation of Platform Total Wind Bending
Effective OD Elastic Modulus Inertia Deflection
Component Bottom above 4
Wind Shear at Shear at Moment at
(m) E (MPa) I (m ) at Top (mm)
Base (mm) Bottom (N) Bottom (N) Bottom (N-m)

Ellipsoidal Head-Top 3,079.74 0.78 201,573.3 * 0 65.6 7 0.05

Cylinder #2 2,279.74 0.78 201,573.3 0.0009075 0 321 1,156.9 0.05

Cylinder #1 775.74 0.78 201,573.3 0.0009075 0 801.2 1,967.2 0.03

Ellipsoidal Head-Bottom (top) 699 0.78 201,573.3 * 0 825.8 2,029.7 0

Support Skirt #1 0 0.79 203,750.0 0.0009333 0 1,051.1 2,685.6 0

*Moment of Inertia I varies over the length of the component

Wind Pressure (WP) Calculations

Wind stagnation pressure qs = 25.6000 psf

[Table 16-F, page 2-28]

Wind Pressure W P = C e ⋅ Cq ⋅ qs ⋅ Iw

= C e ⋅ 0.5400 ⋅ 25.6000 ⋅ 1.0000

= 13.8240 ⋅ C e
[Equation (20-1), page 2-7]

Design Wind Pressures

Height Ce WP
(m) (MPa)
4.6 0.62 0.0004

292/328
 Skirt Opening #1 (SO #1)

ASME Section VIII Division 1, 2023 Edition Metric

Component Skirt Opening
Description Skirt Opening #1
Drawing Mark SO #1
Opening for Nozzle Liquid Outlet (N3)
Sleeve Material SA-106 B Smls Pipe (II-D Metric p. 16, ln. 16)
Location and Orientation
Attached to Support Skirt #1
Orientation radial
Offset, L 310.44 mm
Angle, q 270°
Distance, r 408.7 mm
Through a Category B Joint No
Dimensions
Inside Diameter 164.78 mm
Nominal Wall Thickness 7.11 mm
Skirt Thickness 8 mm
Leg41 5 mm
Leg43 0 mm
External Projection Available, Lpr1 16 mm
Internal Projection, Lpr2 25 mm
Corrosion Inner 0 mm
Outer 0 mm

293/328
 Skirt Opening Reinforcement Summary
Required
Thickness AT Ar
tr Ratio Status
(cm2) (cm2)
(mm)
Tensile 0 5.1249 0 N/A OK
Wind
Compressive 0.13 5.0434 0.2078 24.2666 OK
Operating Hot & Corroded
Tensile 0.0403 8.4231 0.0672 125.4239 OK
Seismic
Compressive 0.22 4.9822 0.3642 13.6817 OK
Tensile 0 9.6489 0 N/A OK
Wind
Compressive 0.12 9.5506 0.1996 47.8412 OK
Operating Hot & New
Tensile 0.0446 14.8961 0.0744 200.2686 OK
Seismic
Compressive 0.22 9.472 0.3592 26.3727 OK
Tensile 0.0203 8.4431 0.0339 248.8674 OK
Wind
Compressive 0.0746 5.0767 0.1229 41.3098 OK
Empty Cold & Corroded
Tensile 0.0265 8.4369 0.0442 190.8323 OK
Seismic
Compressive 0.0879 5.0681 0.1449 34.9748 OK
Tensile 0.0157 14.9317 0.0262 569.7956 OK
Wind
Compressive 0.0758 9.5874 0.1249 76.7691 OK
Empty Cold & New
Tensile 0.0309 14.913 0.0516 289.2215 OK
Seismic
Compressive 0.1 9.5672 0.166 57.6347 OK
Tensile 0 5.1249 0 N/A OK
Wind
Compressive 0.13 5.0434 0.2078 24.2666 OK
External Pressure Hot & Corroded
Tensile 0.0403 8.4231 0.0672 125.4239 OK
Seismic
Compressive 0.22 4.9822 0.3642 13.6817 OK
Note: Skirt required thickness of zero on tensile side indicates load is compressive.

Openings Subject to Axial Tension

−−−−−
LR = min [√R eff t, 2Rn ] (4.5.4)

−−−−
LH1 = min [1.5t, te ] + √ Rn tn (4.5.11)

LH2 = Lpr1 (4.5.12)

LH3 = 8(t + te ) (4.5.13)

LH = min [LH1 , LH2 , L H3 ] + t (4.5.14)

−−−−
LI1 = √ Rn tn (4.5.16)

LI2 = L pr2 (4.5.17)

LI3 = 8(t + te ) (4.5.18)

LI = min [LI1 , LI2 , LI3 ] (4.5.19)

f r1 = min [
Sn
, 1]
S

f r2 = min [
Sn
, 1]
S

A1 = 2LR (E 1 t − tr )

A2 = 2(LH − tr )tn f r2

294/328
A3 = 2LI ti f r2

A4 1 = L24 1 fr2

A4 3 = L24 3 fr2

AT = A1 + A2 + A3 + A4 1 + A4 3

Ar = dtr + 2tn tr (1 − fr1 )

New
−−−−−−−
LR = min [√384.7 ⋅ 8 , 2 ⋅ 82.39] = 55.48 mm

−−−−−−−−−
LH1 = min [1.5 ⋅ 8, 0] + √ 82.39⋅7.11 = 24.2 mm

LH2 = 16 = 16 mm

LH3 = 8 ⋅ (8 + 0) = 64 mm

LH = min [24.2, 16, 64] + 8 = 24 mm

−−−−−−−−−
LI1 = √ 82.39⋅7.11 = 24.2 mm

LI2 = L pr2 = 25 mm

LI3 = 8 ⋅ (8 + 0) = 64 mm

LI = min [24.2, 25, 64] = 24.2 mm

Corroded
−−−−−−−
LR = min [√387.7 ⋅ 5 , 2 ⋅ 82.39] = 44.03 mm

−−−−−−−−−
LH1 = min [1.5 ⋅ 5, 0] + √ 82.39⋅7.11 = 24.2 mm

LH2 = 16 = 16 mm

LH3 = 8 ⋅ (5 + 0) = 40 mm

LH = min [24.2, 16, 40] + 5 = 21 mm

−−−−−−−−−
LI1 = √ 82.39⋅4.11 = 18.4 mm

LI2 = L pr2 = 22 mm

LI3 = 8 ⋅ (5 + 0) = 40 mm

LI = min [18.4, 22, 40] = 18.4 mm

Empty Cold & Corroded Wind Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 44.03 ⋅ (1 ⋅ 5 − 0.0203)
A1 = = 4.3849 cm2
100

0.8551
A2 = 2 ⋅ (21 − 0.0203) ⋅ 7.11 ⋅ = 2.5509 cm2
100

0.8551
A3 = 2 ⋅ 18.4 ⋅ 4.11 ⋅ = 1.2934 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

295/328
 0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 4.3849 + 2.5509 + 1.2934 + 0.2138 + 0 = 8.4431 cm2

164.78 ⋅ 0.0203 + 2 ⋅ 7.11 ⋅ 0.0203 ⋅ (1 − 0.8551)

Ar = = 0.0339 cm2
100

AT = 8.4431 cm 2 ≥ Ar = 0.0339 cm 2

Empty Cold & New Wind Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 55.48 ⋅ (1 ⋅ 8 − 0.0157)
A1 = = 8.8588 cm2
100

0.8551
A2 = 2 ⋅ (24 − 0.0157) ⋅ 7.11 ⋅ = 2.9163 cm2
100

0.8551
A3 = 2 ⋅ 24.2 ⋅ 7.11 ⋅ = 2.9429 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 8.8588 + 2.9163 + 2.9429 + 0.2138 + 0 = 14.9317 cm2

164.78 ⋅ 0.0157 + 2 ⋅ 7.11 ⋅ 0.0157 ⋅ (1 − 0.8551)

Ar = = 0.0262 cm2
100

AT = 14.9317 cm 2 ≥ Ar = 0.0262 cm 2

Operating Hot & Corroded Seismic Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 44.03 ⋅ (1 ⋅ 5 − 0.0403)
A1 = = 4.3674 cm2
100

0.8551
A2 = 2 ⋅ (21 − 0.0403) ⋅ 7.11 ⋅ = 2.5485 cm2
100

0.8551
A3 = 2 ⋅ 18.4 ⋅ 4.11 ⋅ = 1.2934 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 4.3674 + 2.5485 + 1.2934 + 0.2138 + 0 = 8.4231 cm2

164.78 ⋅ 0.0403 + 2 ⋅ 7.11 ⋅ 0.0403 ⋅ (1 − 0.8551)

Ar = = 0.0672 cm2
100

AT = 8.4231 cm 2 ≥ Ar = 0.0672 cm 2
296/328
 Operating Hot & New Seismic Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 55.48 ⋅ (1 ⋅ 8 − 0.0446)
A1 = = 8.8267 cm2
100

0.8551
A2 = 2 ⋅ (24 − 0.0446) ⋅ 7.11 ⋅ = 2.9128 cm2
100

0.8551
A3 = 2 ⋅ 24.2 ⋅ 7.11 ⋅ = 2.9429 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 8.8267 + 2.9128 + 2.9429 + 0.2138 + 0 = 14.8961 cm2

164.78 ⋅ 0.0446 + 2 ⋅ 7.11 ⋅ 0.0446 ⋅ (1 − 0.8551)

Ar = = 0.0744 cm2
100

AT = 14.8961 cm 2 ≥ Ar = 0.0744 cm 2

Empty Cold & Corroded Seismic Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 44.03 ⋅ (1 ⋅ 5 − 0.0265)
A1 = = 4.3795 cm2
100

0.8551
A2 = 2 ⋅ (21 − 0.0265) ⋅ 7.11 ⋅ = 2.5502 cm2
100

0.8551
A3 = 2 ⋅ 18.4 ⋅ 4.11 ⋅ = 1.2934 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 4.3795 + 2.5502 + 1.2934 + 0.2138 + 0 = 8.4369 cm2

164.78 ⋅ 0.0265 + 2 ⋅ 7.11 ⋅ 0.0265 ⋅ (1 − 0.8551)

Ar = = 0.0442 cm2
100

AT = 8.4369 cm 2 ≥ Ar = 0.0442 cm 2

Empty Cold & New Seismic Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

297/328
 2 ⋅ 55.48 ⋅ (1 ⋅ 8 − 0.0309)
A1 = = 8.8419 cm2
100

0.8551
A2 = 2 ⋅ (24 − 0.0309) ⋅ 7.11 ⋅ = 2.9144 cm2
100

0.8551
A3 = 2 ⋅ 24.2 ⋅ 7.11 ⋅ = 2.9429 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 8.8419 + 2.9144 + 2.9429 + 0.2138 + 0 = 14.913 cm2

164.78 ⋅ 0.0309 + 2 ⋅ 7.11 ⋅ 0.0309 ⋅ (1 − 0.8551)

Ar = = 0.0516 cm2
100

AT = 14.913 cm 2 ≥ Ar = 0.0516 cm 2

External Pressure Hot & Corroded Seismic Tensile

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 44.03 ⋅ (1 ⋅ 5 − 0.0403)
A1 = = 4.3674 cm2
100

0.8551
A2 = 2 ⋅ (21 − 0.0403) ⋅ 7.11 ⋅ = 2.5485 cm2
100

0.8551
A3 = 2 ⋅ 18.4 ⋅ 4.11 ⋅ = 1.2934 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 4.3674 + 2.5485 + 1.2934 + 0.2138 + 0 = 8.4231 cm2

164.78 ⋅ 0.0403 + 2 ⋅ 7.11 ⋅ 0.0403 ⋅ (1 − 0.8551)

Ar = = 0.0672 cm2
100

AT = 8.4231 cm 2 ≥ Ar = 0.0672 cm 2

Division 2 4.5.17.3 Openings Subject to Axial Compression

d
γn = −− (4.5.212)
2√Rt

2
R / t
γn > ( + 0.22)
291

tn,eff = min [tn , t]

ti,eff = min [ti , t]

−−
LR = 0.75√Rt

298/328
 −−−−
LH = min [0.5√ tn , 2.5tn , Lpr1 ]
d
2
−−−
LI = min [0.5√ ti , 2.5ti , Lpr2 ]
d
2

f r1 = min [
Sn
, 1]
S

f r2 = min [
Sn
, 1]
S

A1 = 2LR (t − tr ) − 2tn,eff (t − tr )(1 − f r1 )

A2 = 2LH tn,eff fr2

A3 = 2LI ti,eff fr2

A4 1 = L24 1 fr2

A4 3 = L24 3 fr2

AT = A1 + A2 + A3 + A4 1 + A4 3

Ar = dtr (4.5.211)

New
164.78
γn = −−−−−−− = 1.4851
2 ⋅ √384.7 ⋅ 8
2
384.7 / 8
γn > ( + 0.22) = 0.1484
291

Area required factor for compressive side = 1

−−−−−−−
LR = 0.75 ⋅ √384.7 ⋅ 8 = 41.61 mm
−−−−−−−−−−−
164.78
LH = min [0.5 ⋅ √ ⋅ 7.11 , 2.5 ⋅ 7.11 , 16] = 12.1 mm
2
−−−−−−−−−−−
164.78
LI = min [0.5 ⋅ √ ⋅ 7.11 , 2.5 ⋅ 7.11 , 25] = 12.1 mm
2

tn,eff = min [7.11, 8] = 7.11 mm

ti,eff = min [7.11, 8] = 7.11 mm

Corroded
164.78
γn = −−−−−−− = 1.8713
2 ⋅ √387.7 ⋅ 5
2
387.7 / 5
γn > ( + 0.22) = 0.2366
291

Area required factor for compressive side = 1

−−−−−−−
LR = 0.75 ⋅ √387.7 ⋅ 5 = 33.02 mm
−−−−−−−−−−−
164.78
LH = min [0.5 ⋅ √ ⋅ 7.11 , 2.5 ⋅ 7.11 , 16] = 12.1 mm
2
−−−−−−−−−−−
164.78
LI = min [0.5 ⋅ √ ⋅ 4.11 , 2.5 ⋅ 4.11 , 22] = 9.2 mm
2

299/328
tn,eff = min [7.11, 5] = 5 mm

ti,eff = min [4.11, 5] = 4.11 mm

Operating Hot & Corroded Wind Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 33.02 ⋅ (5 − 0.13) − 2 ⋅ 5 ⋅ (5 − 0.13) ⋅ (1 − 0.8551)

A1 = = 3.1482 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 5 ⋅ = 1.0348 cm2
100

0.8551
A3 = 2 ⋅ 9.2 ⋅ 4.11 ⋅ = 0.6467 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 3.1482 + 1.0348 + 0.6467 + 0.2138 + 0 = 5.0434 cm2

164.78⋅0.13
Ar = = 0.2078 cm2
100

AT = 5.0434 cm 2 ≥ Ar = 0.2078 cm 2

Operating Hot & New Wind Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 41.61 ⋅ (8 − 0.12) − 2 ⋅ 7.11 ⋅ (8 − 0.12) ⋅ (1 − 0.8551)

A1 = = 6.3939 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A3 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 6.3939 + 1.4714 + 1.4714 + 0.2138 + 0 = 9.5506 cm2

164.78⋅0.12
Ar = = 0.1996 cm2
100

AT = 9.5506 cm 2 ≥ Ar = 0.1996 cm 2

Empty Cold & Corroded Wind Compressive

118
f r1 = min [ , 1] = 0.8551
138

300/328
 118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 33.02 ⋅ (5 − 0.0746) − 2 ⋅ 5 ⋅ (5 − 0.0746) ⋅ (1 − 0.8551)

A1 = = 3.1815 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 5 ⋅ = 1.0348 cm2
100

0.8551
A3 = 2 ⋅ 9.2 ⋅ 4.11 ⋅ = 0.6467 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 3.1815 + 1.0348 + 0.6467 + 0.2138 + 0 = 5.0767 cm2

164.78⋅0.0746
Ar = = 0.1229 cm2
100

AT = 5.0767 cm 2 ≥ Ar = 0.1229 cm 2

Empty Cold & New Wind Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 41.61 ⋅ (8 − 0.0758) − 2 ⋅ 7.11 ⋅ (8 − 0.0758) ⋅ (1 − 0.8551)

A1 = = 6.4308 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A3 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 6.4308 + 1.4714 + 1.4714 + 0.2138 + 0 = 9.5874 cm2

164.78⋅0.0758
Ar = = 0.1249 cm2
100

AT = 9.5874 cm 2 ≥ Ar = 0.1249 cm 2

External Pressure Hot & Corroded Wind Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 33.02 ⋅ (5 − 0.13) − 2 ⋅ 5 ⋅ (5 − 0.13) ⋅ (1 − 0.8551)

A1 = = 3.1482 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 5 ⋅ = 1.0348 cm2
100

301/328
 0.8551
A3 = 2 ⋅ 9.2 ⋅ 4.11 ⋅ = 0.6467 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 3.1482 + 1.0348 + 0.6467 + 0.2138 + 0 = 5.0434 cm2

164.78⋅0.13
Ar = = 0.2078 cm2
100

AT = 5.0434 cm 2 ≥ Ar = 0.2078 cm 2

Operating Hot & Corroded Seismic Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 33.02 ⋅ (5 − 0.22) − 2 ⋅ 5 ⋅ (5 − 0.22) ⋅ (1 − 0.8551)

A1 = = 3.0869 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 5 ⋅ = 1.0348 cm2
100

0.8551
A3 = 2 ⋅ 9.2 ⋅ 4.11 ⋅ = 0.6467 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 3.0869 + 1.0348 + 0.6467 + 0.2138 + 0 = 4.9822 cm2

164.78⋅0.22
Ar = = 0.3642 cm2
100

AT = 4.9822 cm 2 ≥ Ar = 0.3642 cm 2

Operating Hot & New Seismic Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 41.61 ⋅ (8 − 0.22) − 2 ⋅ 7.11 ⋅ (8 − 0.22) ⋅ (1 − 0.8551)

A1 = = 6.3154 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A3 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 6.3154 + 1.4714 + 1.4714 + 0.2138 + 0 = 9.472 cm2

302/328
 164.78⋅0.22
Ar = = 0.3592 cm2
100

AT = 9.472 cm 2 ≥ Ar = 0.3592 cm 2

Empty Cold & Corroded Seismic Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 33.02 ⋅ (5 − 0.0879) − 2 ⋅ 5 ⋅ (5 − 0.0879) ⋅ (1 − 0.8551)

A1 = = 3.1729 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 5 ⋅ = 1.0348 cm2
100

0.8551
A3 = 2 ⋅ 9.2 ⋅ 4.11 ⋅ = 0.6467 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 3.1729 + 1.0348 + 0.6467 + 0.2138 + 0 = 5.0681 cm2

164.78⋅0.0879
Ar = = 0.1449 cm2
100

AT = 5.0681 cm 2 ≥ Ar = 0.1449 cm 2

Empty Cold & New Seismic Compressive

118
f r1 = min [ , 1] = 0.8551
138

118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 41.61 ⋅ (8 − 0.1) − 2 ⋅ 7.11 ⋅ (8 − 0.1) ⋅ (1 − 0.8551)

A1 = = 6.4105 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A3 = 2 ⋅ 12.1 ⋅ 7.11 ⋅ = 1.4714 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 6.4105 + 1.4714 + 1.4714 + 0.2138 + 0 = 9.5672 cm2

164.78⋅0.1
Ar = = 0.166 cm2
100

AT = 9.5672 cm 2 ≥ Ar = 0.166 cm 2

External Pressure Hot & Corroded Seismic Compressive

118
f r1 = min [ , 1] = 0.8551
138

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 118
f r2 = min [ , 1] = 0.8551
138

2 ⋅ 33.02 ⋅ (5 − 0.22) − 2 ⋅ 5 ⋅ (5 − 0.22) ⋅ (1 − 0.8551)

A1 = = 3.0869 cm2
100

0.8551
A2 = 2 ⋅ 12.1 ⋅ 5 ⋅ = 1.0348 cm2
100

0.8551
A3 = 2 ⋅ 9.2 ⋅ 4.11 ⋅ = 0.6467 cm2
100

0.8551
A4 1 = 5 2 ⋅ = 0.2138 cm2
100

0.8551
A4 3 = 0 2 ⋅ = 0 cm2
100

AT = 3.0869 + 1.0348 + 0.6467 + 0.2138 + 0 = 4.9822 cm2

164.78⋅0.22
Ar = = 0.3642 cm2
100

AT = 4.9822 cm 2 ≥ Ar = 0.3642 cm 2

304/328
 Ear lug
Geometry Inputs

Attached To Cylinder #2
Material SA-36
Distance of Lift Point From Datum 2,558 mm
Angular Position 60° and 240°
Length, L 254 mm
Width, B 127 mm
Thickness, t 20 mm
Hole Diameter, d 30.71 mm
Pin Diameter, Dp 22.23 mm
Diameter at Pin, D 100 mm
Load Angle from Vertical, f 0°
Has Brace Plate No
Welds
Size, tw 6 mm
Reinforcement Pad
Width, Bp 200 mm
Length, Lp 185 mm
Thickness, tp 8 mm
Weld Size, tw p 8 mm
Weld Length, L3 125 mm

305/328
 Intermediate Values
Load Factor 2.0000
Vessel Weight (new, incl. Load Factor), W 1,676.4 kg
Lug Weight (new), Wlug 20.6 kg (Qty=2)
Distance from Center of Gravity to Top Lug, l1 1,493.35 mm
Distance from Center of Gravity to Tail Lug, l2 1,340.39 mm
Distance from Vessel Center Line to Tail Lug, l3 450.7 mm
Allowable Stress, Tensile, st 137.76 MPa
Allowable Stress, Shear, ss 91.84 MPa
Allowable Stress, Bearing, sp 206.64 MPa
Allowable Stress, Bending, sb 153.07 MPa
Allowable Stress, Weld Shear, tallowable 91.84 MPa
Allowable Stress set to 1/3 Sy per ASME B30.20 No

Summary Values
Required Lift Pin Diameter, dreqd 7.55 mm
Required Lug Thickness, treqd 1.79 mm
Lug Stress Ratio, sratio 0.12
Weld Shear Stress Ratio, tratio 0.22
Lug Design Acceptable
Local Stresses WRC 537 Acceptable
Maximum Out of Plane Lift Angle - Weak Axis Bending 31.83°

COMPRESS recommends a spreader beam be used to prevent weak axis bending of the top lugs.
No consideration is given for any bracing plate from the lug to the vessel.

Lift Forces

Lift force on lugs during rotational lift (0°≤ a ≤ 90°):

l2 ⋅ cos(α) + l3 ⋅ sin(α)
2 ⋅ F⊤ = W ⋅
l1 ⋅ cos(α) + l2 ⋅ cos(α) + l3 ⋅ sin(α)

F tail = W − (2 ⋅ F )

306/328
 a [°] Ftop[N] Ftail[N]

0 3,888.1 8,663.5
15 4,065.1 8,309.4
30 4,252.4 7,934.9
45 4,482.5 7,474.7
60 4,823.6 6,792.4
75 5,501.6 5,436.4
90 8,219.8 0

151 4,065.1 8,309.4

132 4,041.5 8,356.6

153 4,065.1 8,309.4

1Lift angle at maximum lug stress.

2Lift angle at maximum weld stress.

3Lift angle at maximum pad weld stress.

Shell angle at lift lug 0.00°

Lug Pin Diameter - Shear stress

−−−−−
√
2 ⋅ Fv
dreqd =
π ⋅ σs

−−−−−−−−−
2 ⋅ 8,219.8
= √ = 7.55 mm
π ⋅ 91.84

dreqd 7.55
= = 0.34 Acceptable
Dp 22.23

σ Fv
=
A
Fv
=
2 ⋅ (0.25 ⋅ π ⋅ D2p )

8,219.8
= = 10.59 MPa
2 ⋅ (0.25 ⋅ π ⋅ 22.23 2 )

σ 10.59
= = 0.12 Acceptable
σs 91.84

Lug Thickness - Tensile stress

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 Fv
treqd =
(D − d) ⋅ σ t

8,219.8
= = 0.86 mm
(100 − 30.71) ⋅ 137.76

treqd 0.86
= = 0.04 Acceptable
t 20

σ Fv
=
A
Fv
=
(D − d) ⋅ t

8,219.8
= = 5.93 MPa
(100 − 30.71) ⋅ 20

σ 5.93
σt = = 0.04 Acceptable
137.76

Lug Thickness - Bearing stress

Fv
treqd =
Dp ⋅ σ p

8,219.8
= = 1.79 mm
22.23⋅206.64

treqd 1.79
= = 0.09 Acceptable
t 20

Fv
s =
Abearing

Fv
=
Dp ⋅ (t)

8,219.8
= = 18.49 MPa
22.23 ⋅ (20)

σ 18.49
σp = = 0.09 Acceptable
206.64

Lug Thickness - Shear stress

Fv
treqd σs
=
2 ⋅ Lshear
8,219.8
= 91.84 = 1.22 mm
2 ⋅ 36.71

treqd 1.22
= = 0.06 Acceptable
t 20

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 Fv
τ =
Ashear

Fv
=
2 ⋅ t ⋅ Lshear

8,219.8
= = 5.6 MPa
2 ⋅ 20 ⋅ 36.71

τ 5.6
σs = = 0.06 Acceptable
91.84

Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)

Dp
ϕ = 55 ⋅
d
22.23
= 55 ⋅
30.71

= 39.8038°

Z = 0.5 ⋅ (D − d) + 0.5 ⋅ Dp ⋅ (1 − cos(ϕ))

= 0.5 ⋅ (100 − 30.71) + 0.5 ⋅ 22.23 ⋅ (1 − cos(39.8038))

= 37.22 mm
−−−−−−−−−−−−−−−−−−−−−−−−−−
Z1 = 0.5 ⋅ D − √0.25 ⋅ D ⋅ D − (0.5 ⋅ Dp ⋅ sin(ϕ)) 2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
= 0.5 ⋅ 100 − √0.25 ⋅ 100 ⋅ 100 − (0.5 ⋅ 22.23 ⋅ sin(39.8038)) 2

= 0.51 mm
Lshear = Z − Z1

= 36.71 mm

Lug Plate Stress

Lug stress, tensile + bending, during rotational lift:

[ ] +[ ] ≤1
Ften M bend
σ ratio =
Aten ⋅ σ t Z + bend ⋅ σb

F top(α) ⋅ sin(α) 6 ⋅ F top(α) ⋅ L ⋅ cos(α)

= [ ] +[ ] ≤1
t ⋅ B ⋅ σt t ⋅ B2 ⋅ σ b

sin(15.0) cos(15.0)
= 4,065.1 ⋅ + 6 ⋅ (4,065.1) ⋅ 254 ⋅
20 ⋅ 127 ⋅ 137.76 20 ⋅ 127 2 ⋅ 153.07
= 0.12 Acceptable

Weak Axis Bending Stress

Maximum lift cable angle from vertical q = 31.83°

309/328
 M F ⋅ sin(θ) ⋅ L1
σb = =
Z Z
W
F ⋅ cos(θ) = 0.5 ⋅ W => F = 0.5 ⋅
cos(θ)

2 ⋅ σb ⋅ Z
θ = arctan( )
W ⋅ L1

⎛ 2 ⋅ 153.07 ⋅ (127 ⋅ 2 60 ) ⎞
2

θ = arctan⎜ ⎟ = 31.83 ∘
⎝ 16,439.6 ⋅ 254 ⎠

Weld Stress

Weld stress, direct and torsional shear, during rotational lift:

Direct shear:

Maximum weld shear stress occurs at lift angle 13.00°; lift force = 4,041.5 N
Aweld = 0.707 ⋅ tw ⋅ (2 ⋅ L 3 + B)

= 0.707 ⋅ 6 ⋅ (2 ⋅ 125 + 127) = 1,599.23 mm 2

cos(α)
τt = F lug ⋅
Aweld

cos(13.0)
= 4,041.5 ⋅ =2.46 MPa
1,599.23

sin(α)
τs = F lug ⋅
Aweld

sin(13.0)
= 4,041.5 ⋅ =0.57 MPa
1,599.23

Torsional shear:

Weld centroid:

L23
Y bar =
2 ⋅ L3 + B

125 2
= =41.45 mm
2 ⋅ 125 + 127

Second polar moment of area:

310/328
 8 ⋅ L33 + 6 ⋅ L3 ⋅ B2 + B3 L43
J = 0.707 ⋅ tw ⋅ ( − )
12 2 ⋅ L3 + B

8 ⋅ 125 3 + 6 ⋅ 125 ⋅ 127 2 + 127 3 125 4

= 0.707 ⋅ 6 ⋅ ( − ) = 7776674 mm4
12 2 ⋅ 125 + 127

Radial distance from centroid to weld:

−−−−−−−−−−−−−−−−−−
r = √(Xbar )2 + (L3 − Ybar ) 2

−−−−−−−−−−−−−−−−−−−−−−−
= √(0.5 ⋅ 127) 2 + (125 − 41.45) 2 =104.95 mm

L3 − Y bar
θr = arctan( )
Xbar

83.55
= arctan( ) = 52.77 ∘
63.5

r
τ2 = M ⋅
J
r
= [F (α) ⋅ cos(α) ⋅ (L + L3 − Y bar)] ⋅
J

104.95
= (4,041.5 ⋅ cos(13.0) ⋅ 337.55) ⋅
7776674.2934
= 17.94 MPa

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
√ (τt + τ2 ⋅ sin(θ r )) 2 + (τs + τ2 ⋅ cos(θr )) 2
τratio = ≤1
τallowable
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
√ (2.46 + 17.94 ⋅ sin(52.77)) 2 + (0.57 + 17.94 ⋅ cos(52.77)) 2
=
91.84
= 0.22 Acceptable

Pad Weld Stress

Direct shear:

Maximum weld shear stress occurs at lift angle 15.00°; lift force = 4,065.1 N
Aweld = 0.707 ⋅ tw _ (p) ⋅ (2 ⋅ L p + Bp )

= 0.707 ⋅ 8 ⋅ (2 ⋅ 185 + 200) = 3,223.92 mm 2

311/328
 cos(α)
τt = F lug ⋅
Aweld

cos(15.0)
= 4,065.1 ⋅ =1.22 MPa
3,223.92

sin(α)
τs = F lug ⋅
Aweld

sin(15.0)
= 4,065.1 ⋅ =0.33 MPa
3,223.92

Torsional shear:

Weld centroid:

L2p
Y barp =
2 ⋅ Lp + Bp

185 2
= =60.04 mm
2 ⋅ 185 + 200

Second polar moment of area:

8 ⋅ L3p + 6 ⋅ Lp ⋅ B2p + B3p L4p

Jp = 0.707 ⋅ twp ⋅ ( − )
12 2 ⋅ Lp + Bp

8 ⋅ 185 3 + 6 ⋅ 185 ⋅ 200 2 + 200 3 185 4

= 0.707 ⋅ 8 ⋅ ( − ) = 36949228 mm4
12 2 ⋅ 185 + 200

Radial distance from centroid to weld:

−−−−−−−−−−−−−−−−−−−−−−−−−−−
rp = √(Xbar _ (p)) 2 + (Lp − Y bar _ (p)) 2

−−−−−−−−−−−−−−−−−−−−−−−
= √(0.5 ⋅ 200) 2 + (185 − 60.04) 2 =160.04 mm

Lp − Y bar _ (p)
θr = arctan( )
Xbar _ (p)

124.96
= arctan( ) = 51.33 ∘
100

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 rp
τ2 = M ⋅
Jp

rp
= [F (α) ⋅ cos(α) ⋅ (L + Lp − Y bar _ (p))] ⋅
Jp

160.04
= (4,065.1 ⋅ cos(15.0) ⋅ 378.96) ⋅
36949227.7982
= 6.45 MPa

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
τratio √ (τt + τ2 ⋅ sin(θ r )) 2 + (τs + τ2 ⋅ cos(θr )) 2
= ≤1
τallowable
−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
√ (1.22 + 6.45 ⋅ sin(51.33)) 2 + (0.33 + 6.45 ⋅ cos(51.33)) 2
=
91.84
= 0.08 Acceptable

WRC 537 Analysis

Maximum stress ratio occurs at lift angle = 90.00° with lift force = 8,219.8 N
Geometry
Height (radial) 20 mm
Width (circumferential) 127 mm
Length 125 mm
Fillet Weld Size: 6 mm
Located On Cylinder #2 (125 mm from top end)
Location Angle 60.00° and 240.00°
Reinforcement Pad
Thickness 8 mm
Width 200 mm
Length 185 mm
Weld Size 8 mm

Applied Loads
Radial load, Pr 0N
Circumferential moment, Mc 0 N-m

Circumferential shear, Vc 0N
Longitudinal moment, ML 148 N-m
Longitudinal shear, VL 8,219.81 N
Torsion moment, Mt 0 N-m
Internal pressure, P 0 MPa
Mean shell radius, Rm 385 mm
Design factor 3

Maximum stresses due to the applied loads at the lug edge

Rm 385
γ= = = 24.0625
T 16

C 1 = 69.5, C 2 = 68.5 mm

313/328
 P ⋅ Ri
Local circumferential pressure stress = = 0 MPa
T

P ⋅ Ri
Local longitudinal pressure stress = = 0 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 3.75 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = − 0.85 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

314/328
 Stresses at the lug edge per WRC Bulletin 537
Figure Y b Au Al Bu Bl Cu Cl Du Dl

3C* 2.4619 0.1791 0 0 0 0 0 0 0 0

4C* 3.3991 0.1798 0 0 0 0 0 0 0 0

1C 0.0895 0.1799 0 0 0 0 0 0 0 0

2C-1 0.067 0.1799 0 0 0 0 0 0 0 0

3A* 0.6709 0.1797 0 0 0 0 0 0 0 0

1A 0.0822 0.2053 0 0 0 0 0 0 0 0

3B* 2.7262 0.1788 -0.848 -0.848 0.848 0.848 0 0 0 0

1B-1 0.0375 0.1805 -1.868 1.868 1.868 -1.868 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total circumferential stress -2.717 1.02 2.717 -1.02 0 0 0 0

Primary membrane circumferential stress* -0.848 -0.848 0.848 0.848 0 0 0 0

3C* 2.4556 0.1798 0 0 0 0 0 0 0 0

4C* 3.3964 0.1791 0 0 0 0 0 0 0 0

1C-1 0.0932 0.1794 0 0 0 0 0 0 0 0

2C 0.0735 0.1794 0 0 0 0 0 0 0 0

4A* 1.3775 0.1797 0 0 0 0 0 0 0 0

2A 0.0425 0.2083 0 0 0 0 0 0 0 0

4B* 0.9108 0.1788 -0.31 -0.31 0.31 0.31 0 0 0 0

2B-1 0.0548 0.1924 -2.565 2.565 2.565 -2.565 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total longitudinal stress -2.875 2.255 2.875 -2.255 0 0 0 0

Primary membrane longitudinal stress* -0.31 -0.31 0.31 0.31 0 0 0 0

Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0

Long shear from VL 0 0 0 0 -1.875 -1.875 1.875 1.875

Total Shear stress 0 0 0 0 -1.875 -1.875 1.875 1.875

Combined stress (PL+Pb+Q) -2.875 2.255 2.875 -2.255 3.751 3.751 3.751 3.751

* denotes primary stress.

Maximum stresses due to the applied loads at the pad edge

Rm 385
γ= = = 48.125
T 8

C 1 = 108, C 2 = 100.5 mm

P ⋅ Ri
Local circumferential pressure stress = = 0 MPa
T

P ⋅ Ri
Local longitudinal pressure stress = = 0 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 5.12 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = − 1.65 MPa

315/328
Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

316/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y b Au Al Bu Bl Cu Cl Du Dl
3C* 2.5712 0.27 0 0 0 0 0 0 0 0

4C* 5.6472 0.2752 0 0 0 0 0 0 0 0

1C 0.05 0.2757 0 0 0 0 0 0 0 0

2C-1 0.017 0.2757 0 0 0 0 0 0 0 0

3A* 1.7707 0.2739 0 0 0 0 0 0 0 0

1A 0.0615 0.308 0 0 0 0 0 0 0 0

3B* 3.942 0.2674 -1.648 -1.648 1.648 1.648 0 0 0 0

1B-1 0.0154 0.2701 -2.048 2.048 2.048 -2.048 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total circumferential stress -3.696 0.4 3.696 -0.4 0 0 0 0

Primary membrane circumferential stress* -1.648 -1.648 1.648 1.648 0 0 0 0

3C* 2.5053 0.2752 0 0 0 0 0 0 0 0

4C* 5.7222 0.27 0 0 0 0 0 0 0 0

1C-1 0.0413 0.272 0 0 0 0 0 0 0 0

2C 0.03 0.272 0 0 0 0 0 0 0 0

4A* 3.9874 0.2739 0 0 0 0 0 0 0 0

2A 0.0245 0.309 0 0 0 0 0 0 0 0

4B* 1.5289 0.2674 -0.662 -0.662 0.662 0.662 0 0 0 0

2B-1 0.0265 0.2848 -3.351 3.351 3.351 -3.351 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total longitudinal stress -4.013 2.689 4.013 -2.689 0 0 0 0

Primary membrane longitudinal stress* -0.662 -0.662 0.662 0.662 0 0 0 0

Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0

Long shear from VL 0 0 0 0 -2.558 -2.558 2.558 2.558

Total Shear stress 0 0 0 0 -2.558 -2.558 2.558 2.558

Combined stress (PL+Pb+Q) -4.013 2.689 4.013 -2.689 5.116 5.116 5.116 5.116

* denotes primary stress.

317/328
 Tail lug
Geometry Inputs

Attached To Support Skirt #1

Material A36
Orientation Longitudinal
Distance of Lift Point From Datum -275.74 mm
Angular Position 330°
Length, L 200 mm
Height, H 150 mm
Lug Radius, R 100 mm
Thickness, t 20 mm
Hole Diameter, d 30.71 mm
Pin Diameter, Dp 22.23 mm
Distance from Load to Shell or Pad, a2 50 mm

Load Angle Normal to Vessel, b 0°

Load Angle from Vertical, f 0°
Welds
Size, tw 6.35 mm
Reinforcement Pad
Width, Bp 40 mm
Length, Lp 225.4 mm
Thickness, tp 8 mm
Weld Size, tw p 6 mm

318/328
 Intermediate Values
Load Factor 2.0000
Vessel Weight (new, incl. Load Factor), W 1,676.4 kg
Lug Weight (new), Wlug 4.6 kg
Distance from Center of Gravity to Top Lug, l1 1,493.35 mm
Distance from Center of Gravity to Tail Lug, l2 1,340.39 mm
Distance from Vessel Center Line to Tail Lug, l3 450.7 mm
Allowable Stress, Tensile, st 137.76 MPa
Allowable Stress, Shear, ss 91.84 MPa
Allowable Stress, Bearing, sp 206.64 MPa
Allowable Stress, Bending, sb 153.07 MPa
Allowable Stress, Weld Shear, tallowable 91.84 MPa
Allowable Stress set to 1/3 Sy per ASME B30.20 No

Summary Values
Required Lift Pin Diameter, dreqd 7.75 mm

Required Lug Thickness, treqd 1.89 mm

Lug Stress Ratio, sratio 0.02
Weld Shear Stress Ratio, tratio 0.07
Lug Design Acceptable
Local Stresses WRC 537 Acceptable

Lift Forces

Lift force on lugs during rotational lift (0°≤ a ≤ 90°):

l2 ⋅ cos(α) + l3 ⋅ sin(α)
2 ⋅ F⊤ = W ⋅
l1 ⋅ cos(α) + l2 ⋅ cos(α) + l3 ⋅ sin(α)

F tail = W − (2 ⋅ F )

319/328
 a [°] Ftop[N] Ftail[N]

0 3,888.1 8,663.5
15 4,065.1 8,309.4
30 4,252.4 7,934.9
45 4,482.5 7,474.7
60 4,823.6 6,792.4
75 5,501.6 5,436.4
90 8,219.8 0

401 4,398.1 7,643.4

452 4,482.5 7,474.7

443 4,464.8 7,509.9

1Lift angle at maximum lug stress.

2Lift angle at maximum weld stress.

3Lift angle at maximum pad weld stress.

Lug loading at a = 0°
Total lift force
F top
F =
cos(ϕ)

8,663.5
F = = 8,663.5 N
cos(0.0)

Tensile force (parallel to lug normal)

F t = F ⋅ cos(β)

F t = 8,663.5 ⋅ cos(0.0) = 8,663.5 N

Shear force (parallel to lug weld)

F s = F ⋅ sin(β)

F s = 8,663.5 ⋅ sin(0.0) = 0 N

Lug Pin Diameter - Shear stress

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 −−−−−
√
2 ⋅ Fv
dreqd =
π ⋅ σs

−−−−−−−−−
2 ⋅ 8,663.5
= √ = 7.75 mm
π ⋅ 91.84

dreqd 7.75
= = 0.35 Acceptable
Dp 22.23

σ Fv
=
A
Fv
=
2 ⋅ (0.25 ⋅ π ⋅ D2p )

8,663.5
= = 11.17 MPa
2 ⋅ (0.25 ⋅ π ⋅ 22.23 2 )

σ 11.17
= = 0.12 Acceptable
σs 91.84

Lug Thickness - Tensile stress

Fv
treqd =
(Lcl − d) ⋅ σ t

8,663.5
= = 0.37 mm
(200 − 30.71) ⋅ 137.76

treqd 0.37
= = 0.02 Acceptable
t 20

σ Fv
=
A
Fv
=
(Lcl − d) ⋅ t

8,663.5
= = 2.56 MPa
(200 − 30.71) ⋅ 20

σ 2.56
σt = = 0.02 Acceptable
137.76

Lug Thickness - Bearing stress

Fv
treqd =
Dp ⋅ σ p

8,663.5
= = 1.89 mm
22.23⋅206.64

treqd 1.89
= = 0.09 Acceptable
t 20

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 Fv
s =
Abearing

Fv
=
Dp ⋅ (t)

8,663.5
= = 19.49 MPa
22.23 ⋅ (20)

σ 19.49
σp = = 0.09 Acceptable
206.64

Lug Thickness - Shear stress

Fv
treqd σs
=
2 ⋅ Lshear
8,663.5
= 91.84 = 0.54 mm
2 ⋅ 86.97

treqd 0.54
= = 0.03 Acceptable
t 20

Fv
τ =
Ashear

Fv
=
2 ⋅ t ⋅ Lshear

8,663.5
= = 2.49 MPa
2 ⋅ 20 ⋅ 86.97

τ 2.49
σs = = 0.03 Acceptable
91.84

Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)

Dp
ϕ = 55 ⋅
d
22.23
= 55 ⋅
30.71

= 39.8038°

Z = 0.5 ⋅ (D − d) + 0.5 ⋅ Dp ⋅ (1 − cos(ϕ))

= 0.5 ⋅ (200 − 30.71) + 0.5 ⋅ 22.23 ⋅ (1 − cos(39.8038))

= 87.22 mm
−−−−−−−−−−−−−−−−−−−−−−−−−−
Z1 = 0.5 ⋅ D − √0.25 ⋅ D ⋅ D − (0.5 ⋅ Dp ⋅ sin(ϕ)) 2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−
= 0.5 ⋅ 200 − √0.25 ⋅ 200 ⋅ 200 − (0.5 ⋅ 22.23 ⋅ sin(39.8038)) 2

= 0.25 mm

Lshear = Z − Z1

= 86.97 mm

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Lug Plate Stress

Lug stress tensile + bending during lift:

[ ] +[ ] ≤1
Ften M bend
σ ratio =
Aten ⋅ σ t Zbend ⋅ σb

F tail(α) ⋅ cos(α) 6 ⋅ |Ftail(α) ⋅ sin(α) ⋅ Hght − Ftail(α) ⋅ cos(α) ⋅ a1 |

= [ ] +[ ] ≤1
t ⋅ L ⋅ σt t ⋅ L2 ⋅ σ b

cos(40.0) |7,643.4 ⋅ sin(40.0) ⋅ 50 − 7,643.4 ⋅ cos(40.0) ⋅ 0|

= 7,643.4 ⋅ +6 ⋅
20 ⋅ 200 ⋅ 137.76 20 ⋅ 200 2 ⋅ 153.07

= 0.02 Acceptable

Weld Stress

Weld stress, tensile, bending and shear during lift:

Direct shear:

Maximum shear stress occurs at lift angle 45.00°; lift force = 7,474.7 N

F top
F lug =
cos(ϕ)

7,474.7
= =7,474.7 N
cos(0.0)

Aweld = 2 ⋅ (0.707) ⋅ tw ⋅ (L + t)

= 2 ⋅ (0.707) ⋅ 6.35 ⋅ (200 + 20) = 1,975.36 mm 2

cos(α)
τt = F tail ⋅
Aweld

cos(45.0)
= 7,474.7 ⋅ =2.68 MPa
1,975.36

sin(α)
τs = F tail ⋅
Aweld

sin(45.0)
= 7,474.7 ⋅ =2.68 MPa
1,975.36

c
τb = M ⋅
I

F lug ⋅ sin(β) ⋅ H ght − F lug ⋅ cos(β) ⋅ a1

= 3⋅
0.707 ⋅ h ⋅ L ⋅ (3 ⋅ t + L)

|7,474.7 ⋅ sin(45.0) ⋅ 50 − 7,474.7 ⋅ cos(45.0) ⋅ (0)|

= 3⋅
233451.4000
= 3.4 MPa

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 −−−−−−−−−−−−
√ (τt + τb ) 2 + τs2
τratio =
≤1
τallowable
−−−−−−−−−−−−−−−−−−
√ (2.68 + 3.4) 2 + (2.68) 2
=
91.84

= 0.07 Acceptable

Pad Weld Stress, tensile, bending and shear during lift:

Direct shear:

Maximum shear stress occurs at lift angle 44.00°; lift force = 7,509.9 N

F top
F lug =
cos(ϕ)

7,509.9
= =7,509.9 N
cos(0.0)

Aweld = 2 ⋅ (0.707) ⋅ tw _ p ⋅ (L p + Bp )

= 2 ⋅ (0.707) ⋅ 6 ⋅ (225.4 + 40) = 2,251.65 mm 2

cos(α)
τt = F tail ⋅
Aweld

cos(44.0)
= 7,509.9 ⋅ =2.4 MPa
2,251.65

sin(α)
τs = F tail ⋅
Aweld

sin(44.0)
= 7,509.9 ⋅ =2.32 MPa
2,251.65

c
τb = M ⋅
I

F lug ⋅ sin(β) ⋅ H ght − F lug ⋅ cos(β) ⋅ a1

= 3⋅
0.707 ⋅ h p ⋅ Lp ⋅ (3 ⋅ W p + Lp )

|7,509.9 ⋅ sin(44.0) ⋅ 58 − 7,509.9 ⋅ cos(44.0) ⋅ (0)|

= 3⋅
330253.1047
= 2.75 MPa

−−−−−−−−−−−−
√ (τt + τb ) 2 + τs2
τratio =
≤1
τallowable
−−−−−−−−−−−−−−−−−−
√ (2.4 + 2.75) 2 + (2.32) 2
=
91.84
= 0.06 Acceptable

WRC 537 Analysis

Maximum stress ratio occurs at lift angle = 0.00° with lift force = 8,663.5 N

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 Geometry
Height (radial) 150 mm
Width (circumferential) 20 mm
Length 200 mm
Fillet Weld Size: 6.35 mm
Located On Support Skirt #1 (400 mm from bottom end)
Location Angle 330.00°
Reinforcement Pad
Thickness 8 mm
Width 40 mm
Length 225.4 mm
Weld Size 6 mm

Applied Loads
Radial load, Pr -8,663.51 N
Circumferential moment, Mc 0 N-m

Circumferential shear, Vc 0N
Longitudinal moment, ML 0 N-m
Longitudinal shear, VL 0N
Torsion moment, Mt 0 N-m
Internal pressure, P 0 MPa
Mean shell radius, Rm 388.7 mm
Design factor 3

Maximum stresses due to the applied loads at the lug edge

Rm 388.7
γ= = = 24.2937
T 16

C 1 = 16.35, C 2 = 65.4 mm

C1 1 C1 1
Note: Actual lug < , = used as this is the minimum ratio covered by WRC 537.
C2 4 C2 4

P ⋅ Ri
Local circumferential pressure stress = = 0 MPa
T

P ⋅ Ri
Local longitudinal pressure stress = = 0 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 40.44 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 5.67 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

325/328
 Stresses at the lug edge per WRC Bulletin 537
Figure Y b Au Al Bu Bl Cu Cl Du Dl
3C* 3.1604 0.1245 0 0 0 0 4.406 4.406 4.406 4.406

4C* 4.0681 0.101 5.667 5.667 5.667 5.667 0 0 0 0

1C 0.1775 0.074 0 0 0 0 36.032 -36.032 36.032 -36.032

2C-1 0.1566 0.074 31.806 -31.806 31.806 -31.806 0 0 0 0

3A* 0.3225 0.0668 0 0 0 0 0 0 0 0

1A 0.1028 0.0862 0 0 0 0 0 0 0 0

3B* 2.1453 0.106 0 0 0 0 0 0 0 0

1B-1 0.0528 0.0943 0 0 0 0 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total circumferential stress 37.473 -26.138 37.473 -26.138 40.438 -31.626 40.438 -31.626

Primary membrane circumferential stress* 5.667 5.667 5.667 5.667 4.406 4.406 4.406 4.406

3C* 3.5813 0.101 4.992 4.992 4.992 4.992 0 0 0 0

4C* 3.5002 0.1245 0 0 0 0 4.875 4.875 4.875 4.875

1C-1 0.1455 0.1052 29.537 -29.537 29.537 -29.537 0 0 0 0

2C 0.1245 0.1052 0 0 0 0 25.283 -25.283 25.283 -25.283

4A* 0.4428 0.0668 0 0 0 0 0 0 0 0

2A 0.0544 0.119 0 0 0 0 0 0 0 0

4B* 0.6219 0.106 0 0 0 0 0 0 0 0

2B-1 0.072 0.13 0 0 0 0 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total longitudinal stress 34.529 -24.545 34.529 -24.545 30.158 -20.408 30.158 -20.408

Primary membrane longitudinal stress* 4.992 4.992 4.992 4.992 4.875 4.875 4.875 4.875

Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0

Long shear from VL 0 0 0 0 0 0 0 0

Total Shear stress 0 0 0 0 0 0 0 0

Combined stress (PL+Pb+Q) 37.473 -26.138 37.473 -26.138 40.438 -31.626 40.438 -31.626

* denotes primary stress.

Maximum stresses due to the applied loads at the pad edge

Rm 388.7
γ= = = 48.5875
T 8

C 1 = 26, C 2 = 104 mm

C1 1 C1 1
Note: Actual lug < , = used as this is the minimum ratio covered by WRC 537.
C2 4 C2 4

P ⋅ Ri
Local circumferential pressure stress = = 0 MPa
T

P ⋅ Ri
Local longitudinal pressure stress = = 0 MPa
2⋅T

Maximum combined stress (P L + Pb + Q) = 92.78 MPa

Allowable combined stress (P L + Pb + Q) = ± 3 ⋅ S = ± 414 MPa

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The maximum combined stress (P L + Pb + Q) is within allowable limits.

Maximum local primary membrane stress (P L ) = 20.36 MPa

Allowable local primary membrane stress (P L ) = ± 1.5 ⋅ S = ± 207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.

327/328
 Stresses at the pad edge per WRC Bulletin 537
Figure Y b Au Al Bu Bl Cu Cl Du Dl
3C* 3.9485 0.198 0 0 0 0 11.004 11.004 11.004 11.004

4C* 7.3078 0.1605 20.36 20.36 20.36 20.36 0 0 0 0

1C 0.1007 0.1177 0 0 0 0 81.779 -81.779 81.779 -81.779

2C-1 0.0656 0.1177 53.276 -53.276 53.276 -53.276 0 0 0 0

3A* 1.381 0.1062 0 0 0 0 0 0 0 0

1A 0.0867 0.132 0 0 0 0 0 0 0 0

3B* 5.4459 0.1686 0 0 0 0 0 0 0 0

1B-1 0.0328 0.1452 0 0 0 0 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total circumferential stress 73.636 -32.916 73.636 -32.916 92.783 -70.775 92.783 -70.775

Primary membrane circumferential stress* 20.36 20.36 20.36 20.36 11.004 11.004 11.004 11.004

3C* 5.0288 0.1605 14.01 14.01 14.01 14.01 0 0 0 0

4C* 6.7938 0.198 0 0 0 0 18.926 18.926 18.926 18.926

1C-1 0.0774 0.1672 62.825 -62.825 62.825 -62.825 0 0 0 0

2C 0.0395 0.1672 0 0 0 0 32.047 -32.047 32.047 -32.047

4A* 2.5321 0.1062 0 0 0 0 0 0 0 0

2A 0.0379 0.173 0 0 0 0 0 0 0 0

4B* 1.581 0.1686 0 0 0 0 0 0 0 0

2B-1 0.0357 0.2009 0 0 0 0 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total longitudinal stress 76.835 -48.815 76.835 -48.815 50.973 -13.121 50.973 -13.121

Primary membrane longitudinal stress* 14.01 14.01 14.01 14.01 18.926 18.926 18.926 18.926

Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0

Long shear from VL 0 0 0 0 0 0 0 0

Total Shear stress 0 0 0 0 0 0 0 0

Combined stress (PL+Pb+Q) 76.835 -48.815 76.835 -48.815 92.783 -70.775 92.783 -70.775

* denotes primary stress.

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