4PB1-PK5 - (W-X) SDL0.75LL5.4
4PB1-PK5 - (W-X) SDL0.75LL5.4
Licensee
Utracon Structural Systems
www.utracon.com
10343062220811WPN1
Input
General
Design Code List Vietnam - Eurocode 2*SAVED*
Material List Vietnam EC_2 - Vietnam Materials*SAVED*
Reinforcement Type List Bonded Prestressed
Member Type List Beam
Panel Type List Internal
Strip Type List One way - Nominal Width
Column Stiffness List Equivalent Column
Concrete Type List Standard Concrete
Concrete - Spanning Members List C25/30
Concrete - Columns List C25/30
Top Reinforcement Cover mm 55
Bottom Reinforcement Cover mm 55
Top Reinforcement Axis Depth Limit mm 30
Bottom Reinforcement Axis Depth Limit mm 30
Concrete Unit Weight kn/m3 25
Self Weight Definition List Program Calculated
Pattern Live Load Y/N
Earthquake Design List None
Moment Redistribution % 0
Design Surface Levels List Reduced Levels
Eurocode Ultimate Load Combination Basis List Eurocode Eqns 6.10a and 6.10b
Span
Span Span Slab Panel Panel
Length Depth Width Width
Left Right
mm mm mm mm
LE 325
1 9000 180 8500 8500
RE 325
Columns
Column Column Support Column Column Column Column Column Column Transverse Capital Depth Pin Percentage Braced
Grid Type Height Width Length Height Width Length Column below Base Column frame
Reference Above Above Above below below below spacing deepest below Stiffness at this
section column
A List mm mm mm mm mm mm mm mm Y/N % Y/N
1 1 Column 3500 650 650 3500 650 650 8500 0 N 100 Y
2 2 Column 3500 650 650 3500 650 650 8500 0 N 100 Y
Load Cases
Load Load Type Load Definition Live Load Description
Case Deflection
Case
List List Y/N A
1 Self Weight Applied Loads SW
2 Initial Dead Load Applied Loads
3 Wind Load Moment/Shear Envelope
4 Live Load Applied Loads Y
1 2
kN/m
50
40
30
20
10 L2
0
0 9000mm
50 L1
40
30
20
10
0
1 2
1 2
kN/m kN
50 1 2 75
40 60
30 45
20 30
10 15
0 0
0 9000mm
50 75
40 60
30 45
20 30
10 P1 15
0 0
1 2
kNm 1 2
-18
-9
18
0 9000mm
Moment
RAPT 6.6.8.0 8/4/2023 8:34:29 AM Page 5/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
1 2
kN
0.06
0.03
-0.03
-0.06
0 9000mm
Shear
kNm 1 2
-18
-9
18
0 9000mm
Moment
1 2
kN
0.06
0.03
-0.03
-0.06
0 9000mm
Shear
1 2
kN/m
50 P1
40
30
20
10
0
0 9000mm
Prestress
Tendon Normal or Steel Steel PrestressPrestress Number Number Spacing Top Bottom Left Distance to
upside down Type Diameter Type Anchorage of of of Cover Cover Anchorage left
profiles Size Strands Tendons tendons to to Duct Reference anchorage
Duct Column from column
List List List List List List #.# mm mm mm # mm
1 Strand 15.2mm MonoStrand 4 4 1 55 50 1 -325
2 Strand 15.2mm MonoStrand 4 4 1 55 50 1 -325
Tendon Left Coupler at Right Distance to Right Coupler at Stacked tendons, Tendon
Anchorage Left Anchorage Right Anchorage Right No effect on Length
Type Anchorage Reference Anchorage from Type Anchorage effective shear
Column Column width
List Y/N # mm List Y/N List mm
1 2 325 Individual 9650
2 2 325 Individual 9650
RAPT 6.6.8.0 8/4/2023 8:34:30 AM Page 6/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Tendon 1 : - Drape Locations
Span Tendon Length of Left End Location Length of Right End Reverse Number of Extra Tendon Number
Profile Type Straight of Low Straight Curve strands angle Profile of strands
Section/Start of Point of Section/End of Radius from right change Point full length
Drape Section in Parabola Drape Section in terminating in this Spacing of tendon
Span Span in span span in span
List mm mm mm mm # #.# mm #
1 325 4500 325 3200 0 0 4999 4
Tendon 1 : - Details
Reverse Curve at Left Anchorage Y/N Y
Reverse Curve at Right Anchorage Y/N Y
Percentage Jacking Force % 80
Include Secondary Prestress Effects Y/N Y
External Tendon Y/N N
Grouted At Transfer Y/N N
Tendon 2 : - Details
Reverse Curve at Left Anchorage Y/N N
Reverse Curve at Right Anchorage Y/N N
Percentage Jacking Force % 75
Include Secondary Prestress Effects Y/N Y
External Tendon Y/N N
Grouted At Transfer Y/N N
Tendon 1 : - 1 - 4/15.2
mm
0
4
-200
4
-400
1 2
350cl
150cl
340
140
55
RAPT 6.6.8.0 8/4/2023 8:34:33 AM Page 8/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Tendon 2 : - 1 - 4/15.2
mm
0
4
4
-200
4
-400
1 2
350cl
350cl
340
340
55
Reinforcement
Reinforcement Reinforcement Preferred Number
Use Type Bar Size of Legs
List List #
Flexural Bar T 390MPa
Flexural Mesh R 390MPa
Shear Option 1 T 295MPa 8 2
Shear Option 2 T 295MPa 10 2
Shear Option 3 T 295MPa 12 2
Punching Shear T 295MPa 8 3
Reinforcement
Maximum Minimum Minimum Minimum Span Minimum Span Infill Stagger
Bar Bar Continuous Reinforcement Reinforcement Bars Bars
Spacing Spacing Reinforcement into End into Internal
Support Support
mm mm #.# #.# #.# Y/N Y/N
Support Reinforcement 300 60 0 N N
Span Reinforcement 300 60 0 0 N N
Design Zones
Layer Steel Left End Distance to Bar stagger Top Cover Right End Distance to Bar stagger Top Cover Maximum Minimum Preferred
Number type Reference left end of length at left at left end Reference right end of length at at Right Bar Size Bar Size bar size
Column bar end Column bar right end end
List # mm mm mm # mm mm mm List List List
1 Bar 1 -325 0 55 2 325 0 30 28 28 28
Design Zones
Layer Steel Left End Distance to Bar stagger Bottom Right End Distance to Bar stagger Bottom Maximum Minimum Preferred
Number type Reference left end of length at left Cover at left Reference right end of length at Cover at Bar Size Bar Size bar size
Column bar end end Column bar right end Right End
List # mm mm mm # mm mm mm List List List
1 Bar 1 -325 0 55 2 325 0 55 32 1 1
User Defined
Layer Steel type Left End Distance Bar Top % Development % Development Right End Distance Bar Top
Number Reference to left stagger Cover of Left End of of Left End of Reference to right stagger Cover
Column end of length at at left Bar in Tension Bar in Column end of length at at Right
bar left end end Compression bar right end end
List # mm mm mm % % # mm mm mm
1 T 390MPa 1 -325 0 55 100 100 2 325 0 55
RAPT 6.6.8.0 8/4/2023 8:34:34 AM Page 9/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Layer % Development % Development Bar Number Spacing % in Layer attached
Number of Right End of of Right End of Size of Bars of Bars Flange after the
Bar in Tension Bar in PreExisting Load
Compression Case
% % List # mm % Y/N
1 100 100 16 4 0 0 N
User Defined
Layer Steel type Left End Distance Bar Bottom % Development % Development Right End Distance Bar Bottom
Number Reference to left stagger Cover of Left End of of Left End of Reference to right stagger Cover
Column end of length at at Left Bar in Tension Bar in Column end of length at at Right
bar left end end Compression bar right end End
List # mm mm mm % % # mm mm mm
1 T 390MPa 1 -325 0 55 100 100 2 325 0 55
1 2
mm
0
-200
-400
0 9000mm
1 2
mm
0
-200
-400
0 9000mm
Design Data
Capacity Reduction factor (phi) for Flexure #.# 1
Capacity Reduction factor (phi) for Shear #.# 1
Capacity Reduction factor (phi) for Shear with transverse reinf #.# 1
Material Factor for Concrete in Flexure #.# 1.5
Material Factor for Concrete in Shear #.# 1.25
Material Factor for Reinforcement #.# 1.15
Maximum Ratio of Neutral Axis Depth for Ductility #.# 0.448
Ductility Limit - Strain #.# 0
Ductility Check at Left End Column Y/N N
Ductility Check at Right End Column Y/N N
Minimum Reinforcement Strength Limit - #.## x M* #.# 1.33
Flexural Critical Section - Consider Transverse Beams Y/N Y
Flexural Critical Section - Distance from centre of Support #.# -1
Beam Left Sideface Cover (Internal) mm 25
Beam Right Sideface cover mm 40
Prestress Minimum Reinforcement Basis List Program Default
Shear Enhancement at Supports Y/N N
Ast Value in Shear Calculations List Calculated
Limit Reinforcement Strain Y/N N
Include Strain Hardening of Reinforcement Y/N
Beam Shear Critical Section Location List Code Critical Section
RAPT 6.6.8.0 8/4/2023 8:34:35 AM Page 10/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Maximum Service Stress Change - Prestressed Sections MPa 200
Maximum Service Stress Change - Reinforced Sections MPa 0
Relative Humidity % 50
Average Temperature C. 20
Prestress Losses Calculations based on List Program Default
Crack Width Calculations List Code default
AS3600 Shrinkage and Temperature Reinforcement List Moderate
Degree of Restraint in Primary Direction % 0
Degree of Restraint in Secondary Direction % 0
Concrete Strength Gain Rate List N
Material Properties
Concrete : Standard Concrete : Concrete Strength Basis - Cylinder
Description A C25/30
Characteristic Compressive Strength MPa 25
Mean Compressive Strength MPa 33
Lower Characteristic Tensile Strength MPa 1.8
Upper Characteristic Tensile Strength MPa 3.33
Concrete Density kg/m3 2447
Design Concrete Modulus MPa 28960.4
Mean Concrete Modulus MPa 31475.8
Basic Shrinkage Strain mm/mm 0
Shrinkage Multiplier #.# 1
Basic Creep Factor #.# 2.924
Creep Multiplier #.# 1
Concrete Strain at Peak Stress #.# 0.002
Squash Load Factor #.# 0.85
Concrete Strain Limit #.# 0.004
Strength Gain Rate List Normal
Maximum Aggregate Size mm 20
Prestress Strand
Diameter Area Breaking Proof 1% Breaking Design Elastic Plastic Basic Weight Material Material Material
Load Stress Stress Strain Strain Modulus Modulus Relaxation Factor Factor Capacity
Limit Flexure Shear Reduction
Factor - Flexure
15.2 139 259 85 82 0.06 90 1.95e5 2200 2.5 1.1 -1 -1 -1
Bonded Monostrand
Anchorage Description Duct Transfer Anchor Draw-in Maximum Set as
Size Type Concrete Friction Jacking default
Strength Force
4 Steel 20 0 6 75 N
RAPT 6.6.8.0 8/4/2023 8:34:37 AM Page 11/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Live Deformed Nominal Full
End Strand Dead Swaged Dead Swaged
End End Dead End
Ineffective Length mm 100 100 100 100
Force at Start of Transition % 100 50 50 100
Transition Length mm 0 600 600 0
Force at End of Transition % 100 100 100 100
Reinforcement Bar
Designation Type Yield Elastic Ductility Peak Peak Design Material Material Material Material Capacity Include as
Stress Modulus Strain Stress Strain Factor Factor Capacity Reduction Factor Flexural
Limit Flexure Shear Reduction - Shear Reinforcement for
Factor - Flexure Shear
T Deformed 295 2.05e5 N 0.05 295 90 -1 -1 -1 -1 Y
Description
Reinforcement Bar
Designation Type Yield Elastic Ductility Peak Peak Design Material Material Material Material Capacity Include as
Stress Modulus Strain Stress Strain Factor Factor Capacity Reduction Factor Flexural
Limit Flexure Shear Reduction - Shear Reinforcement for
Factor - Flexure Shear
T Deformed 390 2.05e5 N 0.05 390 90 -1 -1 -1 -1 Y
Description
1 2
mm
0
-200
-400
0 9000mm
Plan view
mm 1 2
-4000
-2000
2000
4000
0 9000mm
1 2
mm
2000
-2000
0 9000mm
Warnings
Input
No errors or warnings were found.
Output
No errors or warnings were found.
Frame Properties
Span 1
Length mm 325 325 8350 325 325
Inertia mm4 1.62e10 1.62e10 1.38e10 1.62e10 1.62e10
Area mm2 6.77e5 6.77e5 6.77e5 6.77e5 6.77e5
Column Members
Col Area Inertia Length Area Inertia Length
No. Above Above Above Below Below Below
# mm2 mm4 mm mm2 mm4 mm
1 4.23e5 4.81e9 3750 4.23e5 5.12e9 3250
2 4.23e5 4.81e9 3750 4.23e5 5.12e9 3250
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Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Prestress
Tendon Forces
Tendon 1 : - Gross Extension: 63mm - 1 - 4/15.2
1 2
kN
200
170
161
140
110
80
0 9000mm
1 2
kN
200
170
140 148
110
80
0 9000mm
Tendon Actions
Forces from Tendon Profiles - Tendon 1 - 1 - 4/15.2
kN/m 1 2
240
180
120
60
0
0 -23.3 9000mm
kN/m 1 2
240
180
120
60
0
0 -21.4 9000mm
Secondary Forces
Tendon 1 :
Span End Tendon Centroid e Peff. MTotal MSec Reaction Transfer
No. Depth Depth Factor
# A mm mm mm kN kNm kNm kN #.#
1 Left 150 196.4 46.4 461.7 73.02 51.61 7.92 1.1233
1 Right 350 196.4 -153.6 575.07 24.75 113.09 -7.92 1.2275
RAPT 6.6.8.0 8/4/2023 8:34:40 AM Page 14/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Tendon 2 :
Span End Tendon Centroid e Peff. MTotal MSec Reaction Transfer
No. Depth Depth Factor
# A mm mm mm kN kNm kNm kN #.#
1 Left 150 196.4 46.4 417.42 76.96 57.6 -0.17 1.1203
1 Right 150 196.4 46.4 555.89 82.01 56.22 0.17 1.1119
Bending Moments
Load Cases
Column Actions
Col No. 1 Secondary Secondary Prestress Prestress Self Initial Wind Wind Live
Transfer Service Transfer Service Weight Dead Load Load Load
Load
Moment Above kNm -54.05 -49.01 -54.05 -49.01 117.52 17.17 0 0 109.52
Moment Below kNm -66.38 -60.19 -66.38 -60.19 144.33 21.08 0 0 134.52
Reaction kN 7.76 6.68 7.76 6.68 237.63 86.86 0 0 221.47
Elastic Rotation #.# -3.34e-4 -3.03e-4 -3.34e-4 -3.03e-4 7.27e-4 1.06e-4 0 0 6.78e-4
Elastic Axial Shortening mm 0 0 0 0 0 0 0 0 0
Col No. 2 Secondary Secondary Prestress Prestress Self Initial Wind Wind Live Load
Transfer Service Transfer Service Weight Dead Load Load
Load
Moment Above kNm 85.38 75.99 85.38 75.99 -117.52 -17.17 0 0 -109.52
Moment Below kNm 104.86 93.33 104.86 93.33 -144.33 -21.08 0 0 -134.52
Reaction kN -7.76 -6.68 -7.76 -6.68 237.63 86.86 0 0 221.47
Elastic Rotation #.# 5.28e-4 4.7e-4 5.28e-4 4.7e-4 -7.27e-4 -1.06e-4 0 0 -6.78e-4
Elastic Axial Shortening mm 0 0 0 0 0 0 0 0 0
Load Combinations
Column Actions
Col No. 1 Characteristic Characteristic Service Service Ultimate Ultimate Ultimate Ultimate
Service Service (Reversal) Flexure Flexure Shear Shear
(Reversal) (Reversal) (Reversal)
Moment Above kNm 195.19 195.19 85.67 162.34 85.67 270.16 85.67 270.16
Moment Below kNm 239.74 239.74 105.22 199.38 105.22 331.81 105.22 331.81
Reaction kN 552.64 552.64 331.17 486.2 331.17 712.04 331.17 712.04
Elastic Rotation #.# 1.21e-3 1.21e-3 5.3e-4 1e-3 5.3e-4 1.67e-3 5.3e-4 1.67e-3
Elastic Axial Shortening mm 0 0 0 0 0 0 0 0
Col No. 2 Characteristic Characteristic Service Service Ultimate Ultimate Ultimate Ultimate
Service Service (Reversal) Flexure Flexure Shear Shear
(Reversal) (Reversal) (Reversal)
Moment Above kNm -168.22 -168.22 -135.36 -58.7 -243.18 -58.7 -58.7 -243.18
Moment Below kNm -206.61 -206.61 -166.25 -72.09 -298.68 -72.09 -72.09 -298.68
Reaction kN 539.28 539.28 472.84 317.81 698.69 317.81 317.81 698.69
Elastic Rotation #.# -1.04e-3 -1.04e-3 -8.37e-4 -3.63e-4 -1.5e-3 -3.63e-4 -3.63e-4 -1.5e-3
Elastic Axial Shortening mm 0 0 0 0 0 0 0 0
Ultimate Design
Flexure
Total Panel Column Moments And Reactions
Col Moment Moment Reaction Reversal Reversal Reversal
No. Above Below Moment Moment Reaction
Above Below
kNm kNm kN kNm kNm kN
1 85.67 105.22 331.17 270.16 331.81 712.04
2 -243.18 -298.68 698.69 -58.7 -72.09 317.81
1 2
kNm
-800
-600 -436 -384
-400
-200
0
200
400
600
800
1000 797
0 9000mm
1 2
kN
800
600 508
400
200
0
-200
-400
-600 -495
-800
0 9000mm
Shear
Total Panel Column Moments And Reactions
Col Moment Moment Reaction Reversal Reversal Reversal
No. Above Below Moment Moment Reaction
Above Below
kNm kNm kN kNm kNm kN
1 85.67 105.22 331.17 270.16 331.81 712.04
2 -58.7 -72.09 317.81 -243.18 -298.68 698.69
1 2
kNm
-800
-600 -391 -385
-400
-200
0
200
400
600
800 633
1000
0 9000mm
RAPT 6.6.8.0 8/4/2023 8:34:43 AM Page 16/19
Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
1 2
kN
800
600 508
400
200
0
-200
-400
-600 -495
-800
0 9000mm
Flexural Design
Ultimate
1 2
mm2
200 0 0
100
0
-100
-200
-300
-400
-500
-600
558
0 9000mm
Reinforcement Top Total Bottom Total Top Ultimate Bottom Ultimate Min Top Min Bot
1 2
kNm
-600
-400
-200
0
200
400
600
800
1000
0 9000mm
1 2
0.6
0.5
0.4
0.3
0.2
0.1
0
-0.1
-0.2
0.172
-0.3
-0.4
0 9000mm
1 2
MPa -3.52 MPa
-4 -80
-2 -40
0 0
2 40
4 80
6 120
8 160
6.81
0 9000mm
Gross Stress Top Gross Stress Bottom Cracked Compression Axial Prestress Limits Reinforcement Tension
1 2
MPa -0.36 MPa
-4 -80
-2 -40
0 0
2 40
4 80
6 120
8 160
4.05
0 9000mm
Gross Stress Top Gross Stress Bottom Cracked Compression Axial Prestress Limits Reinforcement Tension
Span 1
Design Comments:-
- SERVICE - Concrete tensile stresses greater than code limit in accordance with Eurocode 2 Clause 7.3.2(4)
RAPT has carried out a cracked section analysis to determine steel stresses and will have added reinforcement if necessary to limit
reinforcement stresses and crack widths
Transfer Prestress
Maximum Moment Condition
1 2
MPa MPa
-4 -16
-3 -12
-2 -8
-1 -4
0 0
0
1 4
2 8
3 12
4 3.81 16
0 9000mm
Gross Stress Top Gross Stress Bottom Cracked Compression Reinforcement Tension
Permanent
1 2
MPa MPa
-4 -3.08 -60
-2 -30
0 0
2 30
4 60
6 90
8 6.43 120
0 9000mm
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Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Reversal Moment Condition
1 2
MPa MPa
-4 -3.08 -60
-2 -30
0 0
2 30
4 60
6 90
8 6.43 120
0 9000mm
Gross Stress Top Gross Stress Bottom Cracked Compression Axial Prestress Limits Reinforcement Tension
Characteristic Service
Maximum Moment Condition
1 2
MPa MPa
-6 -4.85 -200
-3 -100
0 0
3 100
6 200
9 300
12 7.96 400
0 9000mm
Gross Stress Top Gross Stress Bottom Cracked Compression Axial Prestress Limits Reinforcement Tension Limits
1 2
MPa MPa
-6 -4.85 -200
-3 -100
0 0
3 100
6 200
9 300
12 7.96 400
0 9000mm
Gross Stress Top Gross Stress Bottom Cracked Compression Axial Prestress Limits Reinforcement Tension Limits
Deflections
All Spans Loaded
Transfer
mm 1 2
0
-1.47
-10
-20
-30
-40
-50
6018
0 9000mm
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Licensee: Utracon Structural Systems License No.: 10343062220811WPN1
Short Term
mm 1 2
0
-10 -5.86
-20
-30
-40
-50
1509
0 9000mm
Incremental
mm 1 2
0
-10
-20 -16.8
-30
-40
-50
526
0 9000mm
mm 1 2
0
-10
-20
-19.3
-30
-40
-50
460
0 9000mm