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Cargo Mate

Various Tables

Uploaded by

George Masvoulas

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75% found this document useful (4 votes)

2K views284 pages

Cargo Mate

Various Tables

Uploaded by

George Masvoulas

We take content rights seriously. If you suspect this is your content, claim it here.

Available Formats

Download as XLS, PDF, TXT or read online on Scribd

You are on page 1/ 284

CARGO Mate File

Definitions

Draft Converter

ASTM - Volume Converter (1)

Change of Draft due to List

ASTM - Volume Converter (2)

Filling Rate

API Converter

Volume of Pipe & Max.Rate

Blended API

Volume of Pipelines (SGS)

COMINGLE-LOADING (1)

Volume of Cargo Lines (1)

COMINGLE-LOADING (2)

Volume of Cargo Lines (2)

Shore Line Displasement

Volume Calc

Conversion Tables Crude Oil

Temperature Converter
Conversion Factors (Brown's)
Units Converter
ET Completion of Cargo Op.

(Version 27/05/2007)

RGO Mate File

Note

(Version 27/05/2007)

ASTM Table 1

Wedge Formulas

ASTM T. 3, 4, 8, 11, 12, 13

Wedge Formula Saybolt

ASTM T. 21, 29, 51, 52, 56

Wedge Formula 1

ASTM T. 6

Wedge Calc 1

ASTM T. 6A

Wedge Calc 2

ASTM T. 6B

Wedge Calc 3

ASTM T. 54A

ASTM T. 54B
ASTM T. 4, 11, 13, 52, 57

DEFINITIONS
A.P.I. Gravity @60F:
The A.P.I. Gravity of an oil is derived from an equation which relies upon the Specific Gravity or Relative Density of
the oil. As the equation relies upon a parameter which has no units (as it is a ratio) this parameter also has no units
and is only a factor without any scientific meaning. It is believed that it was originally derived for oil trading
purposes for price fixing i.e. the higher the A.P.I, the higher the price for the oil.

DENSITY
Density is by definition measured in vacuum at 15C.
Use tablles 54A or 54B in volumes VII and VIII.
Density - this parameter is normally recorded at the standard measurement/calculation temperature of 15C. Its
units are reported as either kilograms per litre (kg/ltr) or more correctly kilograms per cubic meter (kg/m3). This
parameter gives the ratio of the mass of the oil to its volume albeit that its units record an apparent weight per unit
volume. The Density of an oil is normally reported on a certificate of quality to four decimal places as say, 0.8590
kg/ltr. @ 15C. It is the preferred parameter for the calculation of quantity of the oil cargo.
Reference to density "in vacuo" and density "in air" is to be specifically avoided.
The standard parameter of density is only density (to be associated with density "in vacuo") and density "in air"
does not exist save for its associated Petroleum Measurement table 56 factor for tonnage calculation/conversion.

RELATIVE DENSITY 15/4

Relative Density 15/4 is the density of oil at 15C/density of fresh water at 4C.
Relative Density 15/4 can be treated exactly the same way as density at 15C as it is almost the same.
Use tablles 54A or 54B in volumes VII and VIII or convert to API using table 3 in volume XI/XII.

RELATIVE DENSITY 60/60 (SG)

Relative Density 60/60 is the density of cargo at 60F/density of fresh water at 60F.
Convert this density at 15C, or API using table 3 in volume XI/XII.
Specific Gravity - this parameter is more correctly identified and termed Relative Density. The parameter has no
units as it is the ratio of the Density of oil at a temperature to the Density of water at a temperature (thus the
correct terminology of Relative Density). Commonly the recorded temperatures are 60/60F but alternative
temperatures of 15/4C may also be found. This latter Relative Density is in fact Density @ 15C given that the
Density of water at 4C is 1.00.

ASTM Tables
- Table 5A, 6A, 23A, 24A, 53A, and 54A are ASTM tables for Crude Oils
- Table 5B, 6B, 23B, 24B, 53B, and 54B are ASTM tables for Petroleum products.
- Table 5C, 24C and 54C are ASTM tables USING Thermal Expansion Coefficients.
- Table 5D, 6D, 53D and 54D are ASTM tables for Lubrication Oils.
- The ODD tables are for converting API, Relative Density or Density into API60, RD60 or DENS15.

If using Table 11 together with API60/60 and Stowfactor Longtons per Barrel, the result will be weight in longtons
and in AIR.
If using Table 13 together with API60/60 and Stowfactor Tonnes per Barrel, the result will be weight in Metric Tons
and in AIR.
If converting from VACUUM to AIR do not subtract 1.1 from Dens15/15, always use Table 56 (Dens15 is in Kg/m3,
therefore 1.1, and not 0.0011)

Page 19 Of 20

Definition of terms used

API Gravity
API Gravity is a numerical system used on petroleum and petroleum products correlated to density and relative
density (see API MPMS Chapter 9). The relative density to API relation is:
API Gravity @ 60F = (141.5 divided by relative density @ 60F/60F less 131.5
Automatic Sampler
An automatic sampler is a device used for obtaining, by automatic means, representative sample from the
fluid flowing in a pipe.
Crude Oil Washing (COW)
The use of a high-pressure stream of the crude oil cargo to dislodge or dissolve clingage from the bulkheads,
bottom and internal tank structures of a vessel during discharge operation.
Density
The ratio of the mass of a substance to its volume. Since density is dependent on temperature and pressure
these should be stated.
Free Water (FW)
The water that exists in a layer. It typically lies beneath the oil.
Gross Observed Volume (GOV)
Total Observed Volume (TOV) less Free Water (FW)
Gross Standard Volume (GSV)
The Gross Observed Volume (GOV) multiplied by the Volume Correction Factor (VCF). This may be either
the volume in a tank or correction Factor (VCF). This may be either the volume in a tank or the
difference between the volumes before and after a transfer.
Load On Top (LOT)
The procedure of commingling the recovered oil slops with the next cargo by loading the cargo on top of the
slops.
Meter Factor (MF)
The ratio of the actual volume of liquid passed through a meter to the volume indicated by the meter.
Net Standard Volume (NSV)
The Gross Standard Volume (GSV) less Sediment and Water (S+W).
Observed Reference Height
Observed reference height is the distance actually measured from the tank bottom or datum plate to the
established reference point.
On Board Quantity (OBQ)
All Material in vessels cargo tanks and associated lines immediately prior to loading. OBQ quantity may
include any combination of water. oil, LOT slops, oil residue, oil/water emulsions and non-liquid material.
Outturn Loss
The difference in Net Standard Volume NSV between the quantity shown on the Bill of Lading and the quantity
shown on the Outturn.
Reference Height
Reference height is the distance from the tank bottom and/or datum plate to the established reference
point or mark.
Remaining On Board (ROB)
All material in vessel's cargo tanks and associated lines after discharge. excluding vapour. ROB may include
any combination of water, oil, oil residue, oil/water emulsion and non-liquid material.

Page 20 Of 20

Sediment and Water (S & W)

The non-hydrocarbon solid material and water in suspension within the oil.
Sediment
Suspended non-hydrocarbon solids material present within the oil but not in solution.
Slops
Material collected after such operations as stripping, tank washing or dirty ballast separation. It may include oil,
free water, suspended sediment and suspended water and is usually contained in a tank or tanks permanently
assigned to hold such material.
Suspended Water
The water within the oil which is finely dispersed as small droplets. It may, over a period of time, either collect
as free water or become dissolved water, depending on the condition of temperature and pressure prevailing.
Total Calculated Volume (TCV)
The Gross Standard Volume (GSV) plus Free Water (FW)
Total Delivered Volume (TDV)
Total Calculated Volume (TCV) on board before discharge less Total Calculated Volume (TCV) ROB.
Total Received Volume (TRV)
Total Calculated Volume (TCV) on board after loading less Total Calculated Volume (TCV) OBQ.
Total Observed Volume (TOV)
The volume of oil including total water & total sediment measured at the oil temperature and pressure prevailing.
Vessel Load Ratio (VLR)
The Total Received Volume (TRV) divided by the quantity (TCV) measured by the shore loading terminal, i.e.
VLR =

Vessel Total Received Volume (TRV) / Shore TCV Delivered

Vessel Discharge Ratio (VDR)

The Total Delivered Volume (TOV) divided by the quantity (TCV) measured by the shore loading terminal, i.e.
VDR=

Vessel Total Delivered Volume (TDV) / Shore TCV Received

Vessels Experience Factor - Loading (VEFL)

The mean of the VLRs, over several voyages is called the Vessels Experience Factor at Loading (VEFL).
Vessels Experience Factor Discharge (VEFD)
The mean of the VDRs. over several voyages is called the Vessels Experience Factor at Discharge (VEFD).
Volume Correction Factor (VCF or Ctl)
A factor dependent upon the oil API/Density/Relative Density and temperature which corrects oil volumes to
the standard reference temperature. In dynamic measurements this factor is known as Correction for Temperature
on Liquid (Ctl)
Weight Conversion Factor (WCF)
A factor, dependent on the API/Density/Relative Density, for converting volume to weight-in-air. Such factors
shall be obtained from the API-ASTM-IP Petroleum Measurement Tables.

Estimated Time of Completion of Cargo Operation

Estimated Time of Completion Calculator
Bbls
Cub.m.

Data & Time

To Load/Discharge

8/5/2005 8:00
134,000

Estimated Rate

2,100

Time to Go (hrs)

63.8

Time to Go (hh:mm)
Time to Go (days hh:mm)
ET Completion

63:49
2d. 15:49
8/7/2005 23:48

VOLUME Converter
Convert from Bbls to Cub.m.
Convert from Cub.m. to Bbls

Convert from :

134,000

Convert to :

21,304

of Completion of Cargo Operation

Cub.m.
Cub.m./hr

Bbls
Cub.m.

842,835 Bbls
13,209 Bbls/hr

DO NOT ENTER DATA IN THIS AREA

Cub.m.

Bbls to Cub.m.

ASTM Tables - Volume & Weight Converter

(MS Excel Version 24/11/2004)

ASTM Table
API @ 60F

Crude Oils
30.40

Temperature

100.0

QUANTITY

866,000

BBLS @ Temp.

881,874

BBLS @ 60F

866,000

M3 @ Temp.

140,207

M3 @ 15C

137,625

Weight MT (in Air)

120,062

Weight LT

118,174

API Converter

Convert :
US Barrels/MT :

7.335

API = 33.1

Volume & Weight Converter

T.3 - Density @ 15C

873.6 kg/m

T.2 - Temperature

37.78C

T. 4 - (Cub.Mtrs 15C/Bbl 60F)

0.15892

VCF T.6A

0.9820

Density @ Obser.Temp.

0.85632 MT/m

WCF T.13 - (MT/Bbl)

0.13864

WCF T.11 - (LT/Bbl)

0.13646

DO
1
1
2
3
4

ASTM Table
Tab. 6A API @ 60F
Tab. 6A API @ 60F
Tab. 6B API @ 60F
Tab. 54A Density @ 15C
Tab. 54B Density @ 15C

6
1
2
3
4
5
6

API Converter
Rel.Density to API (Tab.21)
API to Density (Tab.3)
API to Rel.Density (Tab.3)
Density to API (Tab.51)
Rel.Density to API (Tab.21)
MT/US Barrel to API (Tab.13)
US Barrels/MT to API

Used Temp.
1
F
1
F
2
C

From

7.335

33.1

NOT ENTER DATA

Quantity To LOAD
2
1
2
3
4
5
6

THIS

API
30.40

TF
100.0F

ASTM Table 6A
API
TF
A
b
30.5
100.0 0.0004 1.014335141

API
30.40

TF
100.0F

ASTM Table 6B
Cor1
API
TF
API<37.0
30.5
100.0 872.59 0.000445956

Density15C
873.6

TC
37.78C

ASTM Table 54A

Density15C
TC
A
b
874
37.75 0.0008 1.014628416

Density15C
873.6

TC
37.78C

ASTM Table 54B

Density15C
TC D<770 770=< D <787.5
874
37.75
0
0

Cor2

Cor1

NOT ENTER DATA IN THIS AREA

Quantity To LOAD
ASTM Table 6A, 6B.
BBLS @ 60F
API
BBLS @ Temp.
Observed Temp.
BBLS @ 60F
Table API
M3 @ Temp.
Table Temp.
M3 @ 15C
Density @ Obs.Temp.
Weight MT (in Air)
T. 4 (m/Bbls)
T.6A
T.11 (LT/Bbls)
T.13 (MT/Bbls) in Air
Quantity On Board
BBLS @ Temp.
BBLS @ 60F
M3 @ Temp.
M3 @ 15C
Weight MT (in Air)

30.40
100.0F
30.5
100.0F
0.85632
0.15892
0.9820
0.13646
0.13864
866,000
881,874
866,000
140,207
137,625
120,062

ASTM Table 54A, 54B.

Density
873.6
Observed Temp.
37.78C
Table Density
874
Table Temp.
37.75C
Density @ Obs.Temp.
T.52 (m/Bbls)
0.15892
T.52 (Bbls/m)
T.54A, 54B
T.56 (Vac to Air)
T.56 (Air to Vac)
Quantity On Board
BBLS @ Temp.
BBLS @ 60F
M3 @ Temp.
M3 @ 15C
Weight MT (in Vac)
Weight MT (in Air)

VCF
6A
0.982

37.0=< API <48.0

Cor2
48.0=< API <52.0
0

Cor2

Cor3

52.0=< API <85.0

0.000445956

1.014270583

Cor1

Cor2

0.00044502

40.95

VCF
54B
0.9817

VCF
54A
0.9816
Cor1
787.5=< D <838.5
0

838.5=< D <1075
0.00044502

VCF
6B
0.9821

Used :

API

Density

ASTM Tables - Volume & Weght Converter

QUALITY
GRADE

CRUDE
Arabian Heavy

API @60F

29.00

Density @15C

881.2 kg/m

TEMPERATURE

100.3

TEMPERATURE

37.94C

ASTM Table API @60F

29.00

ASTM Table Temp.F

100.5F

VCF T.6A

0.9821

ASTM Table Density @15C

(Version 24/11/2004)

882.0

ASTM Table Temp.C

38.00C

VCF T.54A

0.9818

DENSITY @15C in Air

0.8801

QUANTITY TO LOAD

1,000,000

SPECIFIC GRAVITY 60F

0.8816

WEIGHT MT

863,880

Density @ Obser.Temp.

0.86388

M3 @ TEMP.

1,000,000

T11 - (LT/Bbl) in Air

0.13765

BBLS @ TEMP.

6,289,810

T13 - (MT/Bbl) in Air

0.13985

BBLS @ 60F

6,177,222

T4 - (M3/Bbl)

0.15892

1/2004)

DO
USED Quality
1 CRUDE
1 CRUDE
2 PRODUCTS

USED API / Density

2 API @60F
Dencity 881.2
API 29.00

NOT

USED Temperature

ASTM Table 6A
API
TF
29.0
100.5

TF
100.3F

ASTM Table 6B
API
TF
29.0
100.5

880.7488972

Density15C
881.2

ASTM Table 54A

TC
Density15C
TC
37.94C
882
38.00

A
0.000789245

Density15C
881.2

ASTM Table 54B

TC
Density15C
TC
37.94C
882
38.00

Observed
API
29.00

DATA

A
0.000439716

b
1.014246791

Cor1

D<770

API<37.0
0.000440575

b
1.0145221

THIS

ARE

USED Quantity To Loa

2 Fahrenheit
1 37.94C
2 100.3F

TF
100.3F

API
29.00

ENTER

3
1
2
3
4
VCF
6A
0.9821
Cor2
37.0=< API <48.0

VCF
54A
0.9818

Cor1
770=< D <787.5 787.5=< D <838.5

ENTER

DATA

THIS

AREA

USED Quantity To Load

M3 @ Temp
MT
Bbls @ 60F
M3 @ Temp
Bbls @ Temp

T.52
T.4
T.11
T.13

Cor2
48.0=< API <52.0 52.0=< API <85.0

0.15892
0.15892
0.13765
0.13985

Cor2

Cor3

0.00044058 1.014274632

Cor1
838.5=< D <1075
0.000439762

Cor1

Cor2

0.000439762

41.4

VCF
54B
0.9817

VCF
6B
0.9821

A.P.I. CONVERTER

API =

30.0

SG = 0.8762

API =

30.2

Density = 874.6

SG =

Density =

MT/Bbl =

Bbls/MT =

ERTER

0.8762

API = 30

874.6

API = 30.2

0.13392

API = 36.1

8.382

API = 56.6

BLENDED A.P.I.
API = ((( A - ( B / C )) * D ) + (( B / C ) * E )) / A = 29.14
A=

220,000 bbls

TOTAL Gross Observed Volume at Second Port

122,978 bbls

Gross Standard Volume of Cargo loaded at First Port

0.9794

Volume Correction Factor of Cargo loaded at First Port using Final Tempera

28.00

API of Cargo loaded at Second Port

30.00

API of Cargo loaded at First Port

106.0 F

Final Temperature at Second Port

Temp. =

Prediction of Blended A.P.I. / Temp. / Volume

Volume of Tank (100%)

30,000.0 Cub.m.

API

Temp.
( F )

Volume
@obs.temp.

1st Cargo

30.0

110.0

20,000.0

2nd Cargo

28.0

90.0

9,500.0

Average :

29.4

103.6F

Total :

(%)

66.7
31.7
98.3 %

ENDED A.P.I.

Do Not
Observed

rved Volume at Second Port

ume of Cargo loaded at First Port

Factor of Cargo loaded at First Port using Final Temperature at Second Port

nded A.P.I. / Temp. / Volume

D
Volume
@obs.temp.

Volume
@obs.temp.

G.S.V.
@60F

(m3)

(Bbls)

125,796
59,753

122,978
58,970

17,093
8,299

29,503

185,569

181,969

25,392

Do Not Enter Data In This Area

Observed

ASTM Table 6A

VCF

API

106.0F

30.0

106.0

0.9794

API = ((( A - ( B / C )) * D ) + (( B / C ) * E )) / A =

29.14

API
30.00

Do Not Enter Data In This Area

Observed

ASTM Table 6A

VCF

WCF

1st Cargo

API
30.00

TF
110.0F

API
30.0

TF
110.0

6A
0.9776

T.13
0.13899

2nd Cargo

28.00

90.0F

28.0

90.0

0.9869

0.14073

29.36

103.6F

29.5

103.5

0.9806

0.13954

2
1
2
3

Volume
(m3)
20,000.0
9,500.0

Input DATA Cargo Tank

Volume (m3)
Volume (%)
Volume (m3)
Volume (bbls)

Volume
(%)

Volume
Volume
@obs.temp. @obs.temp.
(m3)

G.S.V.
@60F

(Bbls)

66.7
31.7

20,000
9,500

125,796
59,753

122,978
58,970

17,093
8,299

98.3

29,503

185,569

181,969

25,392

Input DATA Cargo Tank

Volume (m3)
Volume (%)
Volume (m3)
Volume (bbls)

CALCULATION FOR COMMINGLED CARGO (After Loading)

(a) API (1)
(b) Temp (T1)

38.40
104.5F

(c) GOV (1)

90,000 Bbls

(d) GSV (1) @ 60F

88,011 Bbls

(e) API (2)

33.30
85.3F

(f) Final Temp (T2)

(g) Total GOV
(k) VCF(1) at Temp(T2)
(m) GOV(1) at Temp(T2)
(n) GOV ( 2nd Parcel )

(w) Weighted API

30,000 Bbls

4,769.6 Cub.m.

0.9874

Table 6A with (a)API(1) & (f)Temp(T

89,134 Bbls

14,171.2 Cub.m.

GSV(1) / VCF(1) at Temp(T2)

-59,134 Bbls

-9,401.6 Cub.m.

Total GOV - GOV(1) at Temp(T2)

48.45

[GOV(1) at (T2)] x
Weighted API = -------------------------

Example : GOV 41077 at API 38.40 & Temp 104.5, GSV @ 60F = 40169 (Table 6A) (GOV=GBbls, GOV=NBbls)
AFTER LOADING 2ND GRADE CARGO, CHECK TEMP T2(f) & ULLAGE FOR TOTAL VOLUME CARGO (g)
FOR 1ST CARGO : API & NBBLS@60F (as original 1st cargo)
Basis on Final Temp T2(f) and 1st Cargo API(a), Get VCF(k) from Table 6A to find GBBls(m) from NBBls.
FOR 2ND CARGO : Calculate Total Quantity GBbls(g) by Final Ullage & Final Temp T2(f)
2nd Cargo Quantity in GBbls(n) = Total Quantity GBbls(g) - 1st Cargo GBbls(m) at Final Temp(T2)
NBbls of 2nd Cargo use API of 2nd Cargo(e) & Final Temp(T2)
FOR COMMINGLED TOTAL CARGO CALCULATION :
Find Avg/Weighted API(w) and use Final Temp(T2) & use find volume from final ullage
& Calculate Net Volume@60F as usual.

O (After Loading)

ble 6A with (a)API(1) & (f)Temp(T2)

SV(1) / VCF(1) at Temp(T2)

tal GOV - GOV(1) at Temp(T2)

(m) = (d) / (k)

(n) = (g) - (m)

[GOV(1) at (T2)] x API(1) + GOV(2) x API(2)

-------------------------------------------------------------------Total GOV

Do Not En
Observed
API
TF
38.40
104.5F
38.40
85.3F

ASTM T

Do Not Enter Data In This Area

ASTM Table 6A
API
TF
38.5
104.5
38.5
85.5

VCF
6A
0.9779
0.9874

GOV (1)

GSV (1)

90,000
89,134

88,011

@60F

CALCULATION FOR COMMINGLED CARGO (After Loading)

FIRST PARCEL

SECOND PARCEL

TOTAL COMMINGLED

API (1)

38.40

API (2)

33.30

FinalTemp (T2)

GOV (1)

41,077

FinalTemp (T2)

85.3 F

Total GOV

GSV(1) @ 60F

40,169

Temp (T1)

104.5 F

VCF(1) at Temp(T2) : (Table 6A with API(1) & Temp(T2) : By 6A, a & f )

GOV(1) at Temp(T2) = GSV(1) / VCF(1) at Temp(T2) : m = c / k

GOV ( 2nd Parcel ) = Total GOV - GOV(1) at Temp(T2) : n = g - m

Weighted API

Enter Data in Yellow Cells

All Volumes in Bbls & Temp in F

[GOV(1) at (T2)] x API(1) + GOV(2) x API(2)

Total GOV

Example : GOV 41077 at API 38.40 & Temp 104.5, GSV @ 60F = 40169 (Table 6A) (GOV=GBbls, GOV=NBbls)
AFTER LOADING 2ND GRADE CARGO, CHECK TEMP T2(f) & ULLAGE FOR TOTAL VOLUME CARGO (g)
FOR 1ST CARGO : API & NBBLS@60F (as original 1st cargo)
Basis on Final Temp T2(f) and 1st Cargo API(a), Get VCF(k) from Table 6A to find GBBls(m) from NBBls.
FOR 2ND CARGO : Calculate Total Quantity GBBls(g) by Final Ullage & Final Temp T2(f)
2nd Cargo Quantity in GBBls(n) = Total Quantity GBBls(g) - 1st Cargo GBBls(m) at Final Temp(T2)
NBbls of 2nd Cargo use API of 2nd Cargo(e) & Final Temp(T2)
FOR COMMINGLED TOTAL CARGO CALCULATION:
Find Avg/Weighted API(w) and use Final Temp(T2) & use find volume from final ullage
& Calculate Net Volume@60F as usual.

Temp/API
83.8
84.3
84.8
85.3
85.8

36.9

37.4

37.9

38.4

38.9

39.4

39.9

0.9884
0.9882
0.9880
0.9877
0.9875

0.9884
0.9881
0.9879
0.9876
0.9874

0.9883
0.9881
0.9878
0.9876
0.9873

0.9882
0.9880
0.9877
0.9875
0.9872

0.9882
0.9879
0.9877
0.9874
0.9872

0.9881
0.9878
0.9876
0.9873
0.9871

0.9880
0.9878
0.9875
0.9873
0.9870

86.3
86.8
87.3
87.8
88.3

0.9872
0.9870
0.9867
0.9865
0.9863

0.9871
0.9869
0.9867
0.9864
0.9862

0.9871
0.9868
0.9866
0.9863
0.9861

0.9870
0.9867
0.9865
0.9863
0.9860

0.9869
0.9867
0.9864
0.9862
0.9859

0.9868
0.9866
0.9863
0.9861
0.9858

0.9868
0.9865
0.9863
0.9860
0.9858

ter Loading)
TOTAL COMMINGLED
85.3 F
245,222

38,987.19 M3

All Volumes in Bbls & Temp in F

0.9875

40,677

6,467.20 M3

204,545

32,519.99 M3

34.15

SEE NOTES BELOW

LINE

DISPLACEMENT Calculation

(Used Table - ASTM 6A)

Cargo : Crude Oil

A.P.I. :

31.00

Shore Temp. of Cargo :

110.0

Vessel Temp. of Cargo :

90.0

Will be Loaded on Vessel :

200,000

ORDER for Loading

Order @ Obs.Temp. :

201,862

Order @ Obs.Temp. :

32,094

Order @ 60F :

197,280

Order @ 15C :

31,365

Order M.T. :

27,250

This programme is designed to determine quantity of cargo to be ordered for

SHORE LINE DISPLACEMENT at the end of loading where there is difference in shore tempe
ship temperature of cargo.

Usual situation for Loading on SBM at Juaymah Port, when vessel will load 2 or 3 Grade of Cargo.
Before completion of 1st, 2nd and 3rd Cargo, Terminal will request to Stop loading for Line Displacement when Vessel w
Cargo Tanks free space 200,000 bbls or More ( @ Obs.Temperature ).
NOT Less, due to capacity of Shore Underwater Cargo Lines 200,000 bbls, and this volume will be pushed by ANOTHE

Problem : Due to Shore Cargo Line is Underwater - Cargo will cool.

If you order for Loading 200,000 bbls, Vessel will receive 199,100 bbls due to cooling of cargo in underwater Shore Line
As result - Short Loading.

REQUIRED : Calculate Quantity of Cargo for Ordering to Terminal in order to receive 200,000 bbls at Obs.Temperature

SOLUTION : Use above programme.

API : Info from Terminal
Shore Temperature of Cargo : info from Terminal.
Vessel's Temperature of Loaded Cargo : Check Temp. of Loaded Cargo in Vessel's Cargo Tanks
Will be loaded on Vessel : Insert quaintity of cargo to be received, after Stoppage for Shore Line Displacement.
Example :
API = 31.0
Shore Temperature of Cargo = 110F
Vessel's Temperature of Cargo = 90F

Shore Temperature of Cargo = 110F

Vessel's Temperature of Cargo = 90F
Will be loaded on Vessel = 200,000 bbls @90F.
Quantity for Ordering to Terminal is 201,862 bbls

Pls Note: Volume of Shore Line Displacement Can be Different for Different SBM and Ports

ACEMENT Calculation

(Used Table - ASTM 6A)

Temp.C

Temp.F

F
Bbls @ Temp. 90F

Temperatures Convertor

Bbls
Cub.m.

110.0 C = 230.0 F
90.0 F

= 32.2 C

Bbls
Cub.m.
M.T.

ermine quantity of cargo to be ordered for

e end of loading where there is difference in shore temperature and

ymah Port, when vessel will load 2 or 3 Grade of Cargo.

Terminal will request to Stop loading for Line Displacement when Vessel will hav e in
e ( @ Obs.Temperature ).
ater Cargo Lines 200,000 bbls, and this volume will be pushed by ANOTHER Cargo.
Cargo will cool.
will receive 199,100 bbls due to cooling of cargo in underwater Shore Line.

Ordering to Terminal in order to receive 200,000 bbls at Obs.Temperature on the Vessel.

heck Temp. of Loaded Cargo in Vessel's Cargo Tanks

cargo to be received, after Stoppage for Shore Line Displacement.

t Can be Different for Different SBM and Ports

DO NOT ENTER DATA IN THIS AREA, LINE DISPLACEMENT CALCUL

Observed
CARGO
Cargo on Shore
Cargo on Vessel
1
2
3
4
1
1
1

Bbls @ Temp.
M3 @ Temp.
Bbls @ 60F
M.T.
Bbls @ Temp. 90F
F
90.0

API
31.00
31.00

TC
43.33C
32.22C

ASTM Table 6A
TF
110.0F
90.0F

API
31.0
31.0

TF
110.0
90.0

ATA IN THIS AREA, LINE DISPLACEMENT CALCULATIONS

VCF
6A
0.9773
0.9864

ASTM
T.13
0.13813
0.13813

Volume
@obs.temp.
@Temp.
(Bbls)

Density

0.84909
0.857

201,862
200,000

Volume
@obs.temp.
(m3)

32,094
31,797

G.S.V.
@60F
(Bbls)

197,280
197,280

M.T.
27,250
27,250

DRAFT Converter

Change of Draft due to change of

Da = Dd + (( A - B ) / B * Dd )

21.60 m.
21.60 m.

= 70 Feet 10 inch
= 70.87 Feet

70.87 Feet

= 21.60 m.

70 f. 10 inch

= 21.59 m.

Dd =

19.00 m.

1.025

1.035

Da =

18.82 m.

Dd =

498 mm
19.00 m.

A=
B=

1.025
1.035

Da = 18.80 m.

hange of Draft due to change of Density of Sea Water

Dd + (( A - B ) / B * Dd )
Draft at Port of Departure
Density of Sea Water at Port of Departure
Density of Sea Water at Port of Arrival

Draft at Port of Arrival

Allowance for fresh water (from LL Certificate)

Draft at Port of Departure
Density of Sea Water at Port of Departure
Density of Sea Water at Port of Arrival

Draft at Port of Arrival

Change of Draft due to List o f Boxshaped Vessel

Breadth =

Change of Draft

58.00 m.

DT (m)

0.25

0.13 m.

0.50

0.25 m.

0.75

0.38 m.

1.00

0.51 m.

1.25

0.63 m.

1.50

0.76 m.

1.75

0.89 m.

2.00

1.01 m.

2.25

1.14 m.

2.50

1.27 m.

2.75

1.39 m.

3.00

1.52 m.

a
For Boxshaped Vessel
ID = 0.5*B*sina - (d-d*cosa)
ID = 0.5*B*sina (less accurately formula)

a - Angle of Heel
d - Draft
B - Beam
ID - increase in Draft due to of Heel
(Ref. Brown's Nautical Almanac 2004 p.627)

Change of Draft due to List o f Shipshaped Vessel

a
R
For Shipshaped Vessel
ID = 0.5*B*sina - RF or accurately
ID = 0.5*B*sina + (d - RF)*cosa - d

a - Angle of Heel
d - Draft (no Angle of Heel)
d1 - Draft with Angle of Heel for boxshaped
vessel.
d2 - Draft with Angle of Heel
B - Beam
ID - increase in Draft due to of Heel (d 2 - d)
RF - Although the Rise of Floor (RF) is
measured along the ship's side
(distance between point R and
point F along the ship side)
(Ref. Brown's Nautical Almanac 2004 p.627)

Used :

Tank
No.

2 M3

m3/cm

ONE TANK FILLING RATE

Bbls

bbls/cm

CENTIMETRE / MINUTE

METER / HOUR

Loading rate ( bbls/hour)

Loading rate ( bbls/h

10,000

15,000

20,000

25,000

30,000

10,000

15,000

10.0

2.6

4.0

5.3

6.6

7.9

1.59

2.38

11.1

2.4

3.6

4.8

6.0

7.2

1.43

2.15

11.1

2.4

3.6

4.8

6.0

7.2

1.43

2.15

11.1

2.4

3.6

4.8

6.0

7.2

1.43

2.15

10.7

2.5

3.7

5.0

6.2

7.4

1.49

2.23

11.6

2.3

3.4

4.6

5.7

6.9

1.37

2.06

14.8

1.8

2.7

3.6

4.5

5.4

1.07

1.61

14.8

1.8

2.7

3.6

4.5

5.4

1.07

1.61

14.8

1.8

2.7

3.6

4.5

5.4

1.07

1.61

10.4

2.5

3.8

5.1

6.4

7.6

1.53

2.29

SL W

3.6

7.4

11.0

14.7

18.4

22.1

4.42

6.62

Note : For Wings Tanks m3/cm for both tanks. (example: 1P - 5.8 m3/cm, insert for 1W - 11.6 m3/cm)
Filling Rate calculated for one tank (example: Filling Rate for 1P - 7.2 cm/min @ Loading Rate 50

ATE
METER / HOUR
Loading rate ( bbls/hour)
20,000

25,000

30,000

3.18

3.97

4.77

2.86

3.58

4.30

2.86

3.58

4.30

2.86

3.58

4.30

2.97

3.71

4.46

2.74

3.43

4.11

2.15

2.69

3.22

2.15

2.69

3.22

2.15

2.69

3.22

3.06

3.82

4.59

8.83

11.04

13.25

, insert for 1W - 11.6 m3/cm)

7.2 cm/min @ Loading Rate 5000 m3/hr)

Volume of Pipe

Dimensions of Pip

System :

Nominal Size
Size

Pipe :

Volume

Length
300.0 m.

54.88 cub.m

345.2 bbls

Permited Max. Loading Rate

Size
Pipe :

Max. Loading Rate

Flow
Rates

cub.m/hr

bbls/hr

6.0 m/sec

6,841

43,026

Note 1: The above calculations are computed from the inside

diameters stated, therefore for greater accuracy the inside
pipe diameters should be verified.
Note 2: For calculation of Max.Loading Rate See ISGOT Ed.4 - 7.4.3
( 7.0 m/sec ) or Vessels Specifications.

Dimensions of Pipes
Nominal Size

Inside Size

mm.

Inch.

mm.

100A

97.1

150A

151.0

Metric

200A

190.9

Inches

250A

10"

242.0

300A

12"

293.1

482.6

350A

14"

330.2

400A

16"

387.4

500A

20"

482.6

635

600A

24"

584.2

650A

26"

635.0

700A

28"

685.8

750A

30"

800A

32"

Do Not Enter Data In This Area

100A

97.1

150A

151

200A

190.9

250A

242

300A

293.1

350A

330.2

400A

387.4

500A

482.6

600A

584.2

650A

635

700A

685.8

750A

800A

CAPACITIES OF PIPELINES
Nominal
Dia
Inches
2

Inside
Dia
Inches
2.067

2.5

2.469

3.068

4.026

6.065

8.071

10.192

12.090

13.250

15.250

17.250

19.250

23.250

Note: The above calculations are computed from the inside dia
greater accuracy the inside pipe diameters should be verified.

CITIES OF PIPELINES
Imp. Gals.
per
Foot
0.1451

U.S.Gals.
per
Foot
0.1743

Litres
per
Metre
2.165

Barrels
per
Mile
22

0.2071

0.2487

3.089

0.3198

0.3540

4.769

0.5507

0.6613

8.213

1.2500

1.5010

18.640

189

2.2130

2.6580

33.010

334

3.5290

4.2380

52.630

533

4.9660

5.9640

74.060

749

5.9640

7.1630

88.960

900

7.9010

9.4890

117.840

1192

10.1090

12.1400

150.770

1525

12.5890

15.1190

187.760

1900

18.3700

22.0620

273.990

2772

e above calculations are computed from the inside diameters stated, therefore for
curacy the inside pipe diameters should be verified.

Vessel's Name :

CHELSEA

Manifolds

Manifolds
Drop Lines

Pump Room Riser

Deck Lines

Bottom Lines

NOTE : Before using this program on yur's Vessel, pls check figures in column Volume (m).

Volume
(m)

Volume
(bbls)

90.0
90.0
90.0
14.2
14.2
14.2
1.0
1.0
1.0
1.0
1.0
1.0
100.0
100.0
100.0

566
566
566
89
89
89
6
6
6
6
6
6
629
629
629

GRAND TOTAL :

618.6

3,891

Volume of Marked Lines :

345.6

2,174

Name of Cargo Line

Bottom Lines

Deck Line 1
Deck Line 2
Deck Line 3
Manifold Line 1
Manifold Line 2
Manifold Line 3
Drop Line 1
Drop Line 2
Drop Line 3
Pump Room Riser 1
Pump Room Riser 2
Pump Room Riser 3
Bottom Line 1
Bottom Line 2
Bottom Line 3

COT 5 C

COT 4 C

COT 3 C

COT 2 C

Drop Lines

COT 6 C

Bottom Lines

NOTE : Before using of this program on yur's Vessel, pls check figures in column Volume (m).
Volume of Drop Lines are calculated for level of Cargo in C.O.Ts 98%.

Volume
(m)

Volume
(bbls)

5.9
1.5
5.9
1.5
16.2
2.0
16.8
27.4
26.1
30.4
29.4
21.7
22.2
24.2
26.0
21.5

37
10
37
10
102
12
106
172
164
191
185
137
140
152
164
135

GRAND TOTAL :

271.4

1,707

Volume of Marked Lines :

198.0

1,245

Name of Cargo Line

COT 1 C

#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#

COT 1 C: Cargo Line 1

COT 1 C: Cargo Line 2
COT 1 C: Cargo Line 3
COT 1 C: Cargo Line 1
COT 1 C: Cargo Line 2
COT 1 C: Cargo Line 3
COT 2 C: Cargo Line 1
COT 2 C: Cargo Line 2
COT 2 C: Cargo Line 3
COT 3 C: Cargo Line 1
COT 3 C: Cargo Line 2
COT 3 C: Cargo Line 3
COT 4 C: Cargo Line 1
COT 4 C: Cargo Line 2
COT 4 C: Cargo Line 3
COT 5 C: Cargo Line 1
COT 5 C: Cargo Line 2
COT 5 C: Cargo Line 3

Volume Converter

Volum

19,313.9 Cub.m. = 121,481 Bbls

Trim :
Ullage :

1,800,000 bbls

= 286,177 Cub.m.

Change of Volume due to Change of Temperature

API / Bbls / F (ASTM T. 6A)
Dens. / m / C (ASTM T.54A)

A.P.I.

30.7

Volume Before

100,000

Temp. Before

110.0

Temp. After

100.0

Volume After

99,542

Bbls

Volume Calc
2.5
11.67
Trim
Ullage
11.65

4.0 m.
19,240.6

11.67
11.70

2.5 m.

2.0 m.
19,367.0

19,313.9
19,186.9

19,313.3

DO N

DO NOT ENTER DATA IN THIS AREA, LINE DISPLACEMENT CALCULATIONS

1 Bbls
CARGO
Before Change
After Change

Observed
API
30.70
30.70

TF
110.0F
100.0F

ASTM Table 6A
API
30.5
30.5

TF
110.0
100.0

Observed
ASTM Table 54A
Before Change Density15C
TC
Density15C
TC
After Change
30.7 110.00C
30
110.00
After Change
30.7 100.00C
30
100.00

VCF
6A
0.9775
0.982
VCF
54A
0
0

Volume
@60F
(Bbls)

97,750
97,750
Volume
@15C
(Cub.m.)

#DIV/0!

ENT CALCULATIONS
Volume
@obs.temp
. (Bbls)

100,000
99,542
Volume
@obs.temp
. (Cub.m.)

100,000
#DIV/0!

Expected Average Temperature in Tank

Temp. of Cargo loaded at First Port

30.0

Volume of Cargo loaded at First Port

26,000

Temp. of Cargo to load at Second Port

70.0

Volume of Cargo to load at Second Port

300,000

Expect. Avg. Temp. of Cargo :

66.8

Weighted Average temperature calculated

Enter open tank temp. ?

30.0

Enter close tank temp. ?

70.0

Enter open tank volume ?

26,000

Enter Closing tank volume ?

300,000

Weighted Avg. Receipt Tank Temp :

73.8

Tempera

Temperature Converter
45.0 C

= 113.0 F

111.0 F

= 43.9 C

TABLE OF CONVERSION FACTORS

Page 610

Brown's 2004

CONVERSION FACTORS
All Conversion Tables revised in 2002 (used PC with numeric precision of 10 digits for mantissa and 2 digits for exponent)
Compiled by P. A. S. Markland & 1 A. G. Biscoe
UNIT

Multiply by

FACTOR to get

Millimetres
Centimetres
Metres
Metres
Kilometres
Kilometres
Sq.Centimetres
Sq. Metres
Sq. Metres
Hectares
Sq. Kilometres
Sq. Kilometres
Cu. Centimetres
Cu. Metres
Cu. Metres
Litres
Millilitres
Grammes
Kilogrammes
Metric Tonnes
Metric Tonnes
Long Tons
Cu. Inches
Cu. Feet
Cu. Metres
US. Gallons
US. Barrels
Litres
Cu. Inches
Cu. Feet
Cu. Metres
US. Barrels
Litres
Cu. Inches
Cu. Feet
Cu. Metres
Litres
Cu. Inches
Cu. Feet
Cu. Metres
Imperial Gallons
US. Gallons
US. Barrels
Cu. Feet
Imperial Gallons
US. Gallons
US Barrels
Kg/Sq.cm
Bars (1000mb)
Atmospheres
mm Hg (Mercury)
Metres Head H2O
Feet Head H2O
Bars
Atmospheres
mm Hg
Metres Head H2O
Feet Head H2O
Atmospheres
mm Hg
Metres Head H2O
Feet Head H2O
mm Hg
Metres Head H2O
Feet Head H2O
Force de Cheval
Kilowatts
HP
Kg/Cu.m
Kg/Cu.m
Tonnes/Metres
Megajoules
Metres/Second
Metres/Second
Kilometres/Hour
MCTC
Metric Tonnes/cm

150 Metric Tonnes/cm

0.03937007874
0.3937007874
3.280839895
1.093613298
0.6213711922
0.5399568035
0.15500031
10.76391042
1.195990046
2.471053814
0.3861021586
0.2915533496
0.0610237441
35.31466672
1.307950619
1.759753877
0.0351950775
0.03527396194
2.204622622
0.9842065274
1.102311311
1.12
0.003604649926
6.228835072
219.9692347
0.832674133
34.97231358
0.2199692346
0.004329004329
7.480519484
264.1720524
42.0
0.2641720524
0.0001030715317
0.1781076067
6.289810772
0.006289810772
0.016387064
28.31684659
1000.0
0.004474291731
0.003725626986
0.1564763334
0.02786962526
0.004546090282
0.003785411783
0.1589872949
14.22334331
14.50377377
14.69594878
0.01933677471
1.422334331
0.4335275042
1.019716213
1.033227453
0.00135951
0.1
0.03048
1.01325
0.001333223684
0.0980665
0.0298906692
0.001315789474
0.09678411052
0.02949979689
0.9863199
1.341022089
0.73549875
0.06242796058
1.685554936
0.2999861496
0.2777777778
3.280839895
196.8503937
0.6213711922
8.20172107
2.499884582

2.499884582

UNIT

Multiply by

FACTOR to get

Inches
Inches
Feet
Yards
Statute Miles
Nautical Miles
Sq. Inches
Sq. Feet
Sq. Yards
Acres
Sq. Statute Miles
Sq. Nautical Miles
Cu. Inches
Cu. Feet
Cu. Yards
Pints
Fluid Ounces
Ounces
Pounds
Long Tons
Short Tons
Short Tons
Imperial Gallons
Imperial Gallons
Imperial Gallons
Imperial Gallons
Imperial Gallons
Imperial Gallons
US. Gallons
US. Gallons
US. Gallons
US. Gallons
US. Gallons
US. Barrels
US. Barrels
US. Barrels
US. Barrels
Litres
Litres
Litres
Long Tons
Long Tons
Long Tons
Long Tons
Metric Tonnes
Metric Tonnes
Metric Tonnes
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch
Kg/Sq.cm
Kg/Sq.cm
Kg/Sq.cm
Kg/Sq.cm
Kg/Sq.cm
Bars
Bars
Bars
Bars
Atmospheres
Atmospheres
Atmospheres
Horsepower
Horsepower
KW
Lbs/Cu.feet
Lbs/Cu.yards
Tons/feet
Kilowatt Hours
Feet/second
Feet/minute
Miles/hour
MCT 1 Inch
Tons/Inch

= 374.98 Tons/Inch

25.4
2.54
0.3048
0.9144
1.609344
1.852
6.4516
0.09290303997
0.8361273602
0.4046856423
2.58998811
3.429904
16.387064
0.02831684659
0.7645548582
0.5682612853
28.4130643
28.34952313
0.45359237
1.016046909
0.90718474
0.8928571427
277.41945
0.1605436632
0.004546090282
1.20095
0.02859404762
4.546090282
231.0
0.1336805555
0.003785411783
0 02380952381
3.785411783
9701.999998
5.614583332
0.1589872949
158.9872949
61.02374409
0.03531466672
0.001
223.4990609
268.4111973
6.390742793
35.88135796
219.9692346
264.1720524
6.289810772
0.07030695795
0.06894757295
0.06804596389
51.71493256
0.7030695795
2.306658725
0.980665
0.9678411052
735.5592399
10
32.80839895
0.9869232667
750.0616827
10.19716213
33.45525633
760.0
10.33227453
33.89853848
1.013869841
0.7456998719
1.359621617
16.01846337
0.5932764212
3.333487234
3.6
0.3048
0.00508
1.609344
0.121925629
0.4000184677

0.4000184677

UNIT

Millimetres
Centimetres
Metres
Metres
Kilometres
Kilometres
Sq. Centimetres
Sq. Metres
Sq. Metres
Hectares
Sq. Kilometres
Sq. Kilometres
Cu. Centimetres
Cu. Metres
Cu. Metres
Litres
Millilitres
Grammes
Kilogrammes
Metric Tonnes
Metric Tonnes
Long Tons
Cu. Inches
Cu. Feet
Cu. Metres
US. Gallons
US. Barrels
Litres
Cu. Inches
Cu. Feet
Cu. Metres
US. Barrels
Litres
Cu. Inches
Cu. Feet
Cu. Metres
Litres
Cu. Inches
Cu. Feet
Cu. Metres
Imperial Gallons
US. Gallons
US. Barrels
Cu. Feet
Imperial Gallons
US. Gallons
US. Barrels
Kg/Sq.cm
Bars (1000mb)
Atmospheres
mm Hg (Mercury)
Metres Head H20
Feet Head H2O
Bars
Atmospheres
mm Hg
Metres Head H2O
Feet Head H2O
Atmospheres
mm Hg
Metres Head H2O
Feet Head H2O
mm Hg
Metres Head H2O
Feet Head H2O
Force de Cheval
Kilowatts
HP
Kg/Cu.m
Kg/Cu.m
Tonnes/Metres
Megajoules
Metres/Second
Metres/Second
Kilometres/Hour
MCTC
Metric Tonnes/cm

= 150 Metric Tonnes/cm

UNITS Converter.
Select Category :
Select Units :
Convert From :

7.50

Kg/Sq.cm

Convert To :

7.35

Bars

Used Conversion Factor :

(0.980665)

Convert From :

20.80

from Brown's Nautical Almanac 2004

Metres :
20.80
Fathoms :
11.37
Feet (with decimals) :
68.24
Feet & Inches : 68 Feet 3 inch
DO NOT ENTER DATA IN THIS AREA

DO NOT ENTER DATA IN THIS AREA

5
1
2
3
4
5
6
7
8
No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36

No.

Pressure
Area
Density
Distance
Power
Pressure
Speed
Volume
Weight

1
1
2
3
4

CALCULATION OF CONVERTIONS FACTORS

UNIT
Multiply by
FACTOR to get
UNIT
Convert
Atmospheres
14.69594878000000 Lbs/Sq.Inch
Atmospheres to Lbs/Sq.Inch
Atmospheres
1.03322745300000 Kg/Sq.cm
Atmospheres to Kg/Sq.cm
Atmospheres
1.01325000000000 Bars
Atmospheres to Bars
Atmospheres
760.00000000000000 mm Hg
Atmospheres to mm Hg
Atmospheres
10.33227453000000 Metres Head H2O
Atmospheres to Metres Head H2O
Atmospheres
33.89853848000000 Feet Head H2O
Atmospheres to Feet Head H2O
Bars
1.01971621300000 Kg/Sq.cm
Bars to Kg/Sq.cm
Bars
0.98692326670000 Atmospheres
Bars to Atmospheres
Bars
750.06168270000000 mm Hg
Bars to mm Hg
Bars
10.19716213000000 Metres Head H2O
Bars to Metres Head H2O
Bars
33.45525633000000 Feet Head H2O
Bars to Feet Head H2O
Bars (1000mb)
14.50377377000000 Lbs/Sq.Inch
Bars (1000mb) to Lbs/Sq.Inch
Feet Head H2O
0.43352750420000 Lbs/Sq.Inch
Feet Head H2O to Lbs/Sq.Inch
Feet Head H2O
0.03048000000000 Kg/Sq.cm
Feet Head H2O to Kg/Sq.cm
Feet Head H2O
0.02989066920000 Bars
Feet Head H2O to Bars
Feet Head H2O
0.02949979689000 Atmospheres
Feet Head H2O to Atmospheres
Kg/Sq.cm
14.22334331000000 Lbs/Sq.Inch
Kg/Sq.cm to Lbs/Sq.Inch
Kg/Sq.cm
0.98066500000000 Bars
Kg/Sq.cm to Bars
Kg/Sq.cm
0.96784110520000 Atmospheres
Kg/Sq.cm to Atmospheres
Kg/Sq.cm
735.55923990000000 mm Hg
Kg/Sq.cm to mm Hg
Kg/Sq.cm
10.00000000000000 Metres Head H2O
Kg/Sq.cm to Metres Head H2O
Kg/Sq.cm
32.80839895000000 Feet Head H2O
Kg/Sq.cm to Feet Head H2O
Lbs/Sq.Inch
0.07030695795000 Kg/Sq.cm
Lbs/Sq.Inch to Kg/Sq.cm
Lbs/Sq.Inch
0.06894757295000 Bars (1000mb)
Lbs/Sq.Inch to Bars (1000mb)
Lbs/Sq.Inch
0.06804596389000 Atmospheres
Lbs/Sq.Inch to Atmospheres
Lbs/Sq.Inch
51.71493256000000 mm Hg (Mercury)
Lbs/Sq.Inch to mm Hg (Mercury)
Lbs/Sq.Inch
0.70306957950000 Metres Head H20
Lbs/Sq.Inch to Metres Head H20
Lbs/Sq.Inch
2.30665872500000 Feet Head H2O
Lbs/Sq.Inch to Feet Head H2O
Metres Head H2O
1.42233433100000 Lbs/Sq.Inch
Metres Head H2O to Lbs/Sq.Inch
Metres Head H2O
0.10000000000000 Kg/Sq.cm
Metres Head H2O to Kg/Sq.cm
Metres Head H2O
0.09806650000000 Bars
Metres Head H2O to Bars
Metres Head H2O
0.09678411052000 Atmospheres
Metres Head H2O to Atmospheres
mm Hg
0.00135951000000 Kg/Sq.cm
mm Hg to Kg/Sq.cm
mm Hg
0.00133322368400 Bars
mm Hg to Bars
mm Hg
0.00131578947400 Atmospheres
mm Hg to Atmospheres
mm Hg (Mercury)
0.01933677471000 Lbs/Sq.Inch
mm Hg (Mercury) to Lbs/Sq.Inch
UNIT
Multiply by
FACTOR to get

Sq. Centimetres
0.15500031
Sq. Feet
0.09290303997
Sq. Inches
6.4516
Sq. Kilometres
0.3861021586
Sq. Kilometres
0.2915533496
Sq. Metres
10.76391042
Sq. Metres
1.195990046
Sq. Nautical Miles
3.429904
Sq. Statute Miles
2.58998811
Sq. Yards
0.8361273602
Kg/Cu.m
0.06242796058
Kg/Cu.m
1.685554936
Lbs/Cu.feet
16.01846337
Lbs/Cu.yards
0.5932764212
Pound/Gallon
0.1198264300
Centimetres
0.3937007874
Fathoms
6.0000000000
Fathoms
1.8288000000
Feet
###################
Feet
0.3048
Inches
25.4
Inches
2.54
Kilometres
0.6213711922
Kilometres
0.5399568035
Metres
###################
Metres
3.280839895
Metres
1.093613298
Millimetres
0.03937007874
Nautical Miles
1.852
Statute Miles
1.609344
Yards
0.9144
Force de Cheval
0.9863199
Horsepower
1.013869841
Horsepower
0.7456998719
HP
0.73549875
Kilowatts
1.341022089
KW
1.359621617
Atmospheres
14.69594878
Atmospheres
1.033227453
Atmospheres
1.01325
Atmospheres
760.0
Atmospheres
10.33227453

UNIT

1
2
3
4
5

Sq. Inches
Sq. Metres
Sq. Centimetres
Sq. Statute Miles
Sq. Nautical Miles
Sq. Feet
Sq. Yards
Sq. Kilometres
Sq. Kilometres
Sq. Metres
Lbs/Cu.feet
Lbs/Cu.yards
Kg/Cu.m
Kg/Cu.m
Kg/Ltr
Inches
Feet
Metres
Fathoms
Metres
Millimetres
Centimetres
Statute Miles
Nautical Miles
Fathoms
Feet
Yards
Inches
Kilometres
Kilometres
Metres
Horsepower
Force de Cheval
Kilowatts
KW
Horsepower
HP
Lbs/Sq.Inch
Kg/Sq.cm
Bars
mm Hg
Metres Head H2O

Convert
From
To
Sq. Centimetres to Sq. Inches
Sq. Feet to Sq. Metres
Sq. Inches to Sq. Centimetres
Sq. Kilometres to Sq. Statute Miles
Sq. Kilometres to Sq. Nautical Miles
Sq. Metres to Sq. Feet
Sq. Metres to Sq. Yards
Sq. Nautical Miles to Sq. Kilometres
Sq. Statute Miles to Sq. Kilometres
Sq. Yards to Sq. Metres
Kg/Cu.m to Lbs/Cu.feet
Kg/Cu.m to Lbs/Cu.yards
Lbs/Cu.feet to Kg/Cu.m
Lbs/Cu.yards to Kg/Cu.m
Pound/Gallon to Kg/Ltr
Centimetres to Inches
Fathoms to Feet
Fathoms to Metres
Feet to Fathoms
Feet to Metres
Inches to Millimetres
Inches to Centimetres
Kilometres to Statute Miles
Kilometres to Nautical Miles
Metres to Fathoms
Metres to Feet
Metres to Yards
Millimetres to Inches
Nautical Miles to Kilometres
Statute Miles to Kilometres
Yards to Metres
Force de Cheval to Horsepower
Horsepower to Force de Cheval
Horsepower to Kilowatts
HP to KW
Kilowatts to Horsepower
KW to HP
Atmospheres to Lbs/Sq.Inch
Atmospheres to Kg/Sq.cm
Atmospheres to Bars
Atmospheres to mm Hg
Atmospheres to Metres Head H2O

6
7
8
9
##

Atmospheres
Bars
Bars
Bars
Bars

33.89853848
1.019716213
0.9869232667
750.0616827
10.19716213

Feet Head H2O

Kg/Sq.cm
Atmospheres
mm Hg
Metres Head H2O

Atmospheres to Feet Head H2O

Bars to Kg/Sq.cm
Bars to Atmospheres
Bars to mm Hg
Bars to Metres Head H2O

## Bars
## Bars (1000mb)
## Feet Head H2O
## Feet Head H2O

33.45525633
14.50377377
0.4335275042

Feet Head H2O

Lbs/Sq.Inch
Lbs/Sq.Inch

Bars to Feet Head H2O

Bars (1000mb) to Lbs/Sq.Inch
Feet Head H2O to Lbs/Sq.Inch

0.03048

Kg/Sq.cm

Feet Head H2O to Kg/Sq.cm

## Feet Head H2O

## Feet Head H2O
## Kg/Sq.cm
## Kg/Sq.cm
## Kg/Sq.cm
## Kg/Sq.cm
## Kg/Sq.cm

0.0298906692

Bars

Feet Head H2O to Bars

0.02949979689
14.22334331
0.980665
0.9678411052
735.5592399
10

Atmospheres
Lbs/Sq.Inch
Bars
Atmospheres
mm Hg
Metres Head H2O

Feet Head H2O to Atmospheres

Kg/Sq.cm to Lbs/Sq.Inch
Kg/Sq.cm to Bars
Kg/Sq.cm to Atmospheres
Kg/Sq.cm to mm Hg
Kg/Sq.cm to Metres Head H2O

##
##
##
##
##
##

32.80839895
0.07030695795
0.06894757295
0.06804596389
51.71493256
0.7030695795

Feet Head H2O

Kg/Sq.cm
Bars (1000mb)
Atmospheres
mm Hg (Mercury)
Metres Head H20

Kg/Sq.cm to Feet Head H2O

Lbs/Sq.Inch to Kg/Sq.cm
Lbs/Sq.Inch to Bars (1000mb)
Lbs/Sq.Inch to Atmospheres
Lbs/Sq.Inch to mm Hg (Mercury)
Lbs/Sq.Inch to Metres Head H20

## Lbs/Sq.Inch

2.306658725
1.422334331

Feet Head H2O

Lbs/Sq.Inch

Lbs/Sq.Inch to Feet Head H2O

## Metres Head H2O

## Metres Head H2O
## Metres Head H2O

0.1

Kg/Sq.cm

Metres Head H2O to Kg/Sq.cm

0.0980665

Bars

Metres Head H2O to Bars

Atmospheres
Kg/Sq.cm
Bars
Atmospheres
Lbs/Sq.Inch
Metres/Second
Metres/Second
Miles/hour
Feet/second
Feet/minute
Kilometres/Hour
Cu. Inches
Imperial Gallons
US. Gallons
US. Barrels
Litres
Cu. Metres
Imperial Gallons
US. Gallons
US. Barrels
Litres
Cu. Centimetres
Cu. Feet
Cu. Yards
Imperial Gallons
US. Gallons
US. Barrels
Litres
Cu. Metres
Millilitres
Cu. Inches
Cu. Feet
Cu. Metres
US. Gallons
US. Barrels
Litres
Pints
Imperial Gallons
US. Gallons
US. Barrels
Cu. Inches
Cu. Feet
Cu. Metres
Fluid Ounces
Litres
Imperial Gallons
US. Gallons
Cu. Inches
Cu. Feet
Cu. Metres
Litres
Imperial Gallons
Cu. Inches
Cu. Feet
Cu. Metres
US. Barrels
Litres
Ounces
Pounds
Short Tons
Metric Tonnes
Imperial Gallons
Long Tons
Short Tons
Grammes
Kilogrammes
Metric Tonnes
Long Tons

Metres Head H2O to Atmospheres

mm Hg to Kg/Sq.cm
mm Hg to Bars
mm Hg to Atmospheres
mm Hg (Mercury) to Lbs/Sq.Inch
Feet/minute to Metres/Second
Feet/second to Metres/Second
Kilometres/Hour to Miles/hour
Metres/Second to Feet/second
Metres/Second to Feet/minute
Miles/hour to Kilometres/Hour
Cu. Centimetres to Cu. Inches
Cu. Feet to Imperial Gallons
Cu. Feet to US. Gallons
Cu. Feet to US. Barrels
Cu. Feet to Litres
Cu. Feet to Cu. Metres
Cu. Inches to Imperial Gallons
Cu. Inches to US. Gallons
Cu. Inches to US. Barrels
Cu. Inches to Litres
Cu. Inches to Cu. Centimetres
Cu. Metres to Cu. Feet
Cu. Metres to Cu. Yards
Cu. Metres to Imperial Gallons
Cu. Metres to US. Gallons
Cu. Metres to US. Barrels
Cu. Metres to Litres
Cu. Yards to Cu. Metres
Fluid Ounces to Millilitres
Imperial Gallons to Cu. Inches
Imperial Gallons to Cu. Feet
Imperial Gallons to Cu. Metres
Imperial Gallons to US. Gallons
Imperial Gallons to US. Barrels
Imperial Gallons to Litres
Litres to Pints
Litres to Imperial Gallons
Litres to US. Gallons
Litres to US. Barrels
Litres to Cu. Inches
Litres to Cu. Feet
Litres to Cu. Metres
Millilitres to Fluid Ounces
Pints to Litres
US. Barrels to Imperial Gallons
US. Barrels to US. Gallons
US. Barrels to Cu. Inches
US. Barrels to Cu. Feet
US. Barrels to Cu. Metres
US. Barrels to Litres
US. Gallons to Imperial Gallons
US. Gallons to Cu. Inches
US. Gallons to Cu. Feet
US. Gallons to Cu. Metres
US. Gallons to US. Barrels
US. Gallons to Litres
Grammes to Ounces
Kilogrammes to Pounds
Long Tons to Short Tons
Long Tons to Metric Tonnes
Long Tons to Imperial Gallons
Metric Tonnes to Long Tons
Metric Tonnes to Short Tons
Ounces to Grammes
Pounds to Kilogrammes
Short Tons to Metric Tonnes
Short Tons to Long Tons

##
##
##
##
##
-

Kg/Sq.cm
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch
Lbs/Sq.Inch

Metres Head H2O

mm Hg
mm Hg
mm Hg
mm Hg (Mercury)
Feet/minute
Feet/second
Kilometres/Hour
Metres/Second
Metres/Second
Miles/hour
Cu. Centimetres
Cu. Feet
Cu. Feet
Cu. Feet
Cu. Feet
Cu. Feet
Cu. Inches
Cu. Inches
Cu. Inches
Cu. Inches
Cu. Inches
Cu. Metres
Cu. Metres
Cu. Metres
Cu. Metres
Cu. Metres
Cu. Metres
Cu. Yards
Fluid Ounces
Imperial Gallons
Imperial Gallons
Imperial Gallons
Imperial Gallons
Imperial Gallons
Imperial Gallons
Litres
Litres
Litres
Litres
Litres
Litres
Litres
Millilitres
Pints
US. Barrels
US. Barrels
US. Barrels
US. Barrels
US. Barrels
US. Barrels
US. Gallons
US. Gallons
US. Gallons
US. Gallons
US. Gallons
US. Gallons
Grammes
Kilogrammes
Long Tons
Long Tons
Long Tons
Metric Tonnes
Metric Tonnes
Ounces
Pounds
Short Tons
Short Tons

0.09678411052
0.00135951
0.001333223684
0.001315789474
0.01933677471
0.00508
0.3048
0.6213711922
3.280839895
196.8503937
1.609344
0.0610237441
6.228835072
7.480519484
0.1781076067
28.31684659
0.02831684659
0.003604649926
0.004329004329
###################
0.016387064
16.387064
35.31466672
1.307950619
219.9692347
264.1720524
6.289810772
1000.0
0.7645548582
28.4130643
277.41945
0.1605436632
0.004546090282
1.20095
0.02859404762
4.546090282
1.759753877
0.2199692346
0.2641720524
0.006289810772
61.02374409
0.03531466672
0.001
0.0351950775
0.5682612853
34.97231358
42.0
9701.999998
5.614583332
0.1589872949
158.9872949
0.832674133
231.0
0.1336805555
0.003785411783
0.02380952381
3.785411783
0.03527396194
2.204622622
1.12
1.016046909
223.4990609
0.9842065274
1.102311311
28.34952313
0.45359237
0.90718474
0.8928571427

Metres Head H2O to Lbs/Sq.Inch

Metres
Metres
Fathoms
Feet (with decimals)
Feet & Inches

20.80
20.80
11.37
68.24
68 Feet 3 inch

Draft Calculation
20.80 m

11.37 Fathoms

38.04 m

20.80 Fathoms

6.34 m

3.47 Fathoms

8.13 m

4.45 Fathoms

6.10 m
2.03 m

68.24 Feet
68 Feet
3 inch
124.80 Feet
124 Feet
10 inch
20.80 Feet
20 Feet
10 inch
26.67 Feet
20 Feet
6.67

68 Feet 3 inch

124 Feet 10 inch

20 Feet 10 inch

20 f. 80 inch
20 Feet 80 inch
20 Feet
80 inch

Table 1
Interrelation of Units of Measurement
LENGTH
To Convert

VOLUME AND CAPACITY *

Multiply By

Metres:
To Yards
To Feet
To Inches

1.0936
3.2808
39.37

Yards:
To Metres

0.9144

Feet:
To Metres

0.3048

Inches:
To Centimetres

2.54

WEIGHT
To Convert
Long Tons:
To Pounds (Avoirdupois)
To Short Tons
To Metric Tons (Tonnes)

Short Tons:
To Pounds (Avoirdupois)
To Long Tons
To Metric Tons (Tonnes)

ASTMIP

Multiply By
2240.
1.12
1.01605

2000
0.892857
0.907185

Metric Tons (Tonnes):

To Long Tons
To Short Tons

0.984206
1.10231

Pounds (Avoirdupois):
To Kilograms

0.453592

Kilograms:
To Pounds (Avoirdupois)

2.20462

To Convert
U.S. Gallons:
To Cubic Inches
To Cubic Feet
To Imperial Gallons
To US Barrels
To Litres
U.S. Barrels:
To US Gallons
To Cubic Inches
To Cubic Feet
To Imperial Gallons
To Litres
Imperial Gallons:
To Cubic Inches
To Cubic Feet
To US Gallons
To US Barrels
To Litres
Cubic Feet:
To Imperial Gallons
To US Gallons
To US Barrels
To Litres
To Cubic Metres
Cubic Inches:
To Imperial Gallons
To US Gallons
To Litres
Litres:
To Cubic Inches
To Cubic Feet
To Imperial Gallons
To US Gallons
To US Barrels
Cubic Metres:
To Imperial Gallons
To US Gallons
To US Barrels
To Cubic Feet

* These factors are solely for conversion at the same temperature.

This relationship is exact by definition.
ASTM D 1250-80

Multiply By
231
0.133681
0.832674
0.0238095
3.78541
42
9702
5.61458
34.9723
158.987
277.42
0.160544
1.20095
0.0285941
4.54596 (4.54609)
6.22883
7.48052
0.178108
28.3169
0.0283169
0.00360465
0.004329
0.0163871
61.0238
0.0353147
0.219969
0.264172
0.00628981
219.969
264.172
6.28981
35.3147

VOLUME XI Entry With API Gravity

ASTM Tab. 3
Relative Density (60/60F) = 141.5 / ( API + 131.5 )
API
(60F)

30.10

ASTM T.3
Relative Density
(60/60F)

0.8756

ASTM Tab. 4
API
(60F)

ASTM T.4
Litres/US Gallon

ASTM Tab. 8
API
(60F)

30.000

ASTM T.8
Pounds/US Gallon
(60F)

7.296

ASTM Tab. 11
LT/BBL = 0.98421*(1.01605*(22.12362536/(API+131.502609)-0.0001927941766))
(60F)

ASTM T.11
LT/Barrel

29.00

0.13765

API

(60F)

LT/BBL = 0.0375 * (( 589.9438 / ( API + 131.5 )) - 0.0050789 )

(60F)

ASTM T.11
LT/Barrel

29.00

0.13765

API

(60F)

LT/BBL = ( 589.943 / (API + 131.5) - 0.0050789 ) * 0.0375

API
(60F)

29.00

ASTM T.11
LT/Barrel
(60F)

0.13765

LT/BBL = ( ( ( 141.5 / ( API + 131.5 ) * 4.169215 ) - 0.0050789 ) * 0.0374996 )

API
(60F)

ASTM T.11
LT/Barrel
(60F)

29.00
0.13765
LT/BBL = ( ( 0.0375 * ( ( 589.943 / ( API + 131.5 ) ) - 0.0050789 ) * 10 ^ 5 + 0.5 ) / 10 ^ 5 , 5
ASTM T.11
API
LT/Barrel
(60F)
(60F)

29.00

0.13765

LT/BBL = ( ( 0.168043765194 - 0.00000138081421532 * API ) / ( 1 + 0.00760520852876 *

ASTM T.11
API
SGS
LT/Barrel
(60F)
(60F)

29.00
0.13765
LT/BBL = ( 22.12362536 / ( API + 131.502609) - 0.0001927941766, 5 )
ASTM T.11
API
LT/Barrel
(60F)
(60F)

29.00

0.13765

API

ASTM T.11
LT/Barrel

(60F)

29.00

(60F)

0.13765

LT/BBL = ( 1 / ( 5.9509641 + ( 0.0453147 * API ) )

ASTM T.11
API
LT/Barrel
(60F)

Note: error with API=29.0

(60F)

29.00

0.13764

ASTM Tab. 12
BBLS/LT = 1 / ( 0.0375 * (( 589.9438 / ( API + 131.5 )) - 0.0050789 ))
API
(60F)

30.00

ASTM T.12
Bbls/LT
(60F)

7.31029

ASTM Tab. 13
MT/BBL =( ( ( ( 141.5 / ( API + 131.5 ) * 4.169215 ) - 0.0050789 ) * 0.0374996 ) * 1.01605)
API
(60F)

29.00

ASTM T.13
MT/Barrel
(60F)

0.13985

MT/BBL = ( 1 / ( 5.9506 + ( 0.0453378 * API ) ) * 1.016045 , 5 )

API
(60F)

29.00

ASTM T.13
MT/Barrel
(60F)

0.13985

MT/BBL = (( 535.1911 / ( API + 131.5 )) - 0.0046189 ) * 0.042

API
(60F)

29.00

ASTM T.13
MT/Barrel
(60F)

0.13986

Note: error with API=29.0

MT/BBL = 1.01605 * ( 22.12362536 / ( API + 131.502609 ) - 0.0001927941766 )

API
(60F)

ASTM T.13
MT/Barrel

Note: error with API=29.0

(60F)

29.00
0.13986
MT/BBL = ( ( ( 0.042 * ( ( 535.1911 / ( API + 131.5 ) ) - 0.0046189 ) * 10 ^ 5 + 0.5
ASTM T.13
API
Note: error with API=29.0
MT/Barrel
(60F)

(60F)

29.00

0.13986

API

ASTM T.13
MT/Barrel

(60F)

29.00

Note: error with API=29.0

(60F)

0.13986

UME XI Entry With API Gravity

ASTM Tab. 3
Density (15C) = 141.4292146/(API+131.5)*1000
ASTM T.3
Density

API
(60F)

(15C)

30.2

874.6

API

ASTM T.4
Cub.Mtrs/Barrel
0.15892

ASTM Tab. 4
(60F)

33.00

ASTM Tab. 8
API
(60F)

ASTM Tab. 11

62536/(API+131.502609)-0.0001927941766))

I + 131.5 )) - 0.0050789 )

* 4.169215 ) - 0.0050789 ) * 0.0374996 )

.943 / ( API + 131.5 ) ) - 0.0050789 ) * 10 ^ 5 + 0.5 ) / 10 ^ 5 , 5 )

94 - 0.00000138081421532 * API ) / ( 1 + 0.00760520852876 * API ),5)

API + 131.502609) - 0.0001927941766, 5 )

Note: error with API=29.0

ASTM Tab. 12

/ ( API + 131.5 )) - 0.0050789 ))

ASTM Tab. 13

) * 4.169215 ) - 0.0050789 ) * 0.0374996 ) * 1.01605)

0.0453378 * API ) ) * 1.016045 , 5 )

5 )) - 0.0046189 ) * 0.042
Note: error with API=29.0

( API + 131.502609 ) - 0.0001927941766 )

Note: error with API=29.0

2 * ( ( 535.1911 / ( API + 131.5 ) ) - 0.0046189 ) * 10 ^ 5 + 0.5 ) / 10 ^ 5 ) , 5 )

Note: error with API=29.0

VOLUME XII Entry With RELATIVE DENSITY and DENSITY

ASTM Tab. 21
API = ( 141.5 / Relative Density

) - 131.5

ASTM T.21

Relative Density
(60/60F)

(60/60F)

(60F)

API
36.35

0.843

ASTM Tab. 29
Relative Density
(60/60F)

ASTM T.29
L.Tons/1000 US
Gallons (60F)

ASTM Tab. 51
API = ( 141.4292146 / D ) - 131.5
ASTM T.51

Density
(15C)

0.8450

(60F)

API
35.87

ASTM Tab. 52
Bbls @60F Cubic to Metres @15C

Density
(15C)

870.3

Cubic Metres @15C to Bbls @60F

ASTM T.52
Cub.Mtr/Bbls
0.15892

ASTM Tab. 56
If converting from vacuum to air do not subtract 1.1 from Dens15/15,
15
use Table 56 (Dens is in Kg/m3, therefore 1.1, and not 0.0011)

Density at 15C
(kg/L)

0.6594
Density
(15C)

879.0

ASTM T.56
Factor for
Converting
Weight in Vacuo
to Weight in Air
0.99835
ASTM T.56
Kg/Cubic Mtr
877.9

MT (in Air) = ROUND((MT(in Vac) * (INT((1.0001506-(0.0012202/Density))*10000)+0.5)/10000),3)

MT (in Air) = ((MT(in Vac) * (((1.0001506-(0.0012202/Density))*10000)+0.5)/10000),3)

MT in Vacuo
1000.0

Density at 15C
(kg/L)

0.6595

MT in Air
998.350

y With RELATIVE DENSITY and DENSITY

ASTM Tab. 21
Density (15C) = RD(60/60F) * 999.012 / VCF(T54)
ASTM T.21
Relative Density
Density
(60/60F)
(15C)

ASTM Tab. 29
(60/60F)

LT/Bbls = ( 0.0375 * ( 4.169215 * Relative Density

ASTM T.29
Relative Density
Long
Tons/Bbls
(60/60F)
(60F)

0.808

0.12614

ASTM Tab. 51
Relative Density (60/60F) =
ASTM T.51
Density
Relative
Density
(15C)
(60/60F)

ASTM Tab. 52
Cubic Metres @15C to Bbls @60F

Density
(15C)

853.0

ASTM T.52
Bbls/Cub.Mtr
6.293

Tab. 56

o not subtract 1.1 from Dens15/15,

g/m3, therefore 1.1, and not 0.0011)
ASTM T.56
Factor for
Density at 15C
Converting Weight
(kg/L)
in Air to Weight in
Vacuo
0.6982
1.00155
Density
(15C)

879.0

ASTM T.56
Cubic Mtr/MT
1.1391

506-(0.0012202/Density))*10000)+0.5)/10000),3)

0001506-(0.0012202/Density))*10000)+0.5)/10000),3)

- 0.0050789 ) )

ASTM Tab. 6
VCF T.6 =
h=
s=
e=

API
48.00

1+(h*e)+(s*e*e)
f * 0.929328621 + g + ( f / 141.5 ) * API
( 0.929328621 * -0.00000049 ) + 0.0000006 + ( -0.00000049 / 141.5 ) * API
TF - 60
f

API > 10.0

API <= 25.7

-0.0003948

0.00003

API > 25.7

API <= 30.2

-0.000512

0.00016

API > 30.2

API <= 35.0

-0.000617

0.00028

API > 35.0

API <= 39.0

-0.000719

0.0004

API > 39.0

API <= 43.2

-0.000843

0.00055

API > 43.2

API <= 47.6

-0.000965

0.0007

API > 47.6

API <= 52.3

-0.001084

0.00085

TF
111.0F

You Can Copy this Block in to your Programs and start work.
ASTM Table 6
API
TF
f
g
48.0
111.0
-0.001084
0.00085

TM Tab. 6

00006 + ( -0.00000049 / 141.5 ) * API

in to your Programs and start work.

h
-0.00052511

s
-2.159E-08

e
51.0

VCF
6
0.9732

ASTM Tab. 6A
VCF T.6A = EXP( A * ( TF - 60 ) * b * - 1 )
A = 341.0957 / ( 141.5 * 999.012 / ( API + 131.5 )) ^ 2
b = 1 + 0.8 * A * ( TF - 60 )

VCF T.6A = EXP ( -Y * ( 1 + 0.8 * Y ))

X = ( 141.5 * 999.012 ) / ( API + 131.5 )
Y = ( 341.0957 / X ^ 2 ) * ( TF - 60 )

API
38.40

You Can Copy this Block in to your Programs and start work.
ASTM Table 6A
API
TF
TF
A
b
85.3F
38.5
85.5
0.00049331 1.0100635

VCF
6A
0.9874

API
31.20

You Can Copy this Block in to your Programs and start work.
ASTM Table 6A
API
TF
TF
X
Y
111.0F
31.0
111.0
869.9089108 0.0229879

VCF
6A
0.9769

API
Gravity
60F

Observed
Temperature
F

Volume
Correction
Factor
Table 6A

You Can Copy t

You Can Copy this Block in to your Programs

ASTM Table 6A
VCF
API
API
6A
TF
TF
31.20
111.0F
31.0
111.0
0.9769
You Can Copy this Block in to your Programs
ASTM Table 6A
VCF
API
API
6A
TF
TF
31.20
111.0F
31.0
111.0
0.9769

ASTM Tab. 6B
VCF T.6B = EXP ( Cor2 * (TF - 60 ) * Cor3 * -1)
Cor1 = ( 141.5 * 999.012 ) / (API + 131.5 )

API >= 37.0

API >= 48.0
API >= 52.0

API < 37.0

API < 48.0
API < 52.0
API < 85.0

Cor2 =
Cor2 =
Cor2 =
Cor2 =

( 103.872 / Cor1 ^ 2 ) + ( 0.2701 / Cor1 )

330.301 / Cor1 ^ 2
( 1489.067 / Cor1 ^ 2 ) - 0.0018684
( 192.4571 / Cor1 ^ 2 ) + ( 0.2438 / Cor1 )

Cor3 = 1 + 0.8 * Cor2 * (TF - 60 )

API
31.20

API
Gravity
60F

TF
110.3F

ASTM Table 6B
API
TF
31.0
110.5

Observed
Temperature
F

Volume
Correction
Factor
Table 6B

You Can Copy this Block in to your Programs and start work.
Cor1
Cor2
API<37.0 37.0=< API <48.0
869.90891 0.00044775
0

ASTM Tab. 6B

s Block in to your Programs and start work.

Cor2
Cor2
Cor3
48.0=< API <52.0 52.0=< API <85.0
0
0
0.00044775 1.018089

VCF
6B
0.9772

ASTM Tab. 54A

VCF T.54A = EXP( A * b * ( TC - 15 ) * - 1 )
A = 613.9723 / Density ^ 2
b = 1 + 0.8 * A * ( TC - 15 )

Density15C
875.7

You Can Copy this Block in to your Programs and start work.
ASTM Table 54A
TC
Density15C
TC
A
0.000800093
32.70C
876
32.75

Density15C
875.7

You Can Copy this Block in to your Programs and start work.
ASTM Table 54A
TC
Density15C
TC
32.70C
876
32.75

Observed
Temperature

Density

15C

Volume
Correction
Factor
Table 54A

0.8757

90.86

32.70

0.9857

M Tab. 54A

in to your Programs and start work.

b
1.011361323

VCF
54A
0.9857

in to your Programs and start work.

VCF
54A
0.9857

0.876

32.75

ASTM Tab. 54B

VCF T.54B = EXP ( -1 * Cor1 * Cor2 * ( 1 + 0.8 * Cor1 * Cor2 ))

D >= 770.0
D >= 787.5
D >= 838.5

D < 770.0
D < 787.5
D < 838.5
D < 1075.0

Cor1 =
Cor1 =
Cor1 =
Cor1 =

( 192.4571 / D ^ 2 ) + ( 0.2438 / D )
( 1489.0671 / (D ^ 2)) - 0.0018684
330.301 / D ^ 2
( 0.2701 / D ) + ( 103.873 / D ^2 )

Cor2 = (( TC + 40 ) * 1.8 ) - 99

You Can Copy this Block in to your Programs and start work.
Density15C
811

0.9770

TC
32.70C

38.9

ASTM Table 54B

Density15C
TC
810

32.75

978

Cor1
770=< D <787.5

D<770

346.4228

M Tab. 54B
1 + 0.8 * Cor1 * Cor2 ))

n to your Programs and start work.

Cor1
787.5=< D <838.5 838.5=< D <1075
0.000503431

0.4388

Cor1

Cor2

VCF
54B

0.000503

31.95

0.9838

0 2680.3206 ########

0 ########

########

0.486200 0.0006926

0.9833

0.00081085

0.9804

ASTM 4, 11, 13, 22, 52, 56, 57

ASTM Table 4

API
@60F

M @15C /
BBL @60F

API
@60F

Ltrs @15C /
US Gallon @60F

0.0
15.2
15.3
33.1
33.2
45.5
45.6
49.8
49.9
52.6
52.7
64.3
64.4
75.5
75.6
85.0

0.15893
0.15893
0.15892
0.15892
0.15891
0.15891
0.15890
0.15890
0.15889
0.15889
0.15888
0.15888
0.15887
0.15887
0.15886
0.15886

0.0
5.6
5.7
13.5
13.6
21.1
21.2
28.6
28.7
35.9
36.0
41.0
41.1
45.6
45.7
48.4
48.5
49.4
49.5
50.4
50.5
51.4
51.5
53.9
54.0
58.8
58.9
63.7
63.8
68.5
68.6
73.2
73.3
77.8
77.9
82.4
82.5
85.0

3.7841
3.7841
3.7840
3.7840
3.7839
3.7839
3.7838
3.7838
3.7837
3.7837
3.7836
3.7836
3.7835
3.7835
3.7834
3.7834
3.7833
3.7833
3.7832
3.7832
3.7831
3.7831
3.7830
3.7830
3.7829
3.7829
3.7828
3.7828
3.7827
3.7827
3.7826
3.7826
3.7825
3.7825
3.7824
3.7824
3.7823
3.7823

170

ASTM Table 11
API

LT
per Bbls

0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
4.1
4.2
4.3
4.4
4.5
4.6
4.7

0.16804
0.16792
0.16779
0.16766
0.16753
0.16741
0.16728
0.16715
0.16703
0.16690
0.16677
0.16665
0.16652
0.16640
0.16627
0.16615
0.16602
0.16590
0.16577
0.16565
0.16552
0.16540
0.16527
0.16515
0.16503
0.16490
0.16478
0.16466
0.16454
0.16441
0.16429
0.16417
0.16405
0.16392
0.16380
0.16368
0.16356
0.16344
0.16332
0.16320
0.16308
0.16296
0.16284
0.16272
0.16260
0.16248
0.16236
0.16224

ASTM Table 13

ASTM 4, 11, 13, 22, 52, 56, 57

4.8
4.9
5.0
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
6.0
6.1
6.2
6.3
6.4
6.5
6.6
6.7
6.8
6.9
7.0
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
7.9
8.0
8.1
8.2
8.3
8.4
8.5
8.6
8.7
8.8
8.9
9.0
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
10.0
10.1
10.2
10.3

171

0.16212
0.16200
0.16188
0.16176
0.16164
0.16153
0.16141
0.16129
0.16117
0.16105
0.16094
0.16082
0.16070
0.16059
0.16047
0.16035
0.16024
0.16012
0.16000
0.15989
0.15977
0.15966
0.15954
0.15943
0.15931
0.15920
0.15908
0.15897
0.15885
0.15874
0.15862
0.15851
0.15840
0.15828
0.15817
0.15806
0.15794
0.15783
0.15772
0.15760
0.15749
0.15738
0.15727
0.15715
0.15704
0.15693
0.15682
0.15671
0.15660
0.15649
0.15638
0.15626
0.15615
0.15604
0.15593
0.15582

ASTM 4, 11, 13, 22, 52, 56, 57

10.4
10.5
10.6
10.7
10.8
10.9
11.0
11.1
11.2
11.3
11.4
11.5
11.6
11.7
11.8
11.9
12.0
12.1
12.2
12.3
12.4
12.5
12.6
12.7
12.8
12.9
13.0
13.1
13.2
13.3
13.4
13.5
13.6
13.7
13.8
13.9
14.0
14.1
14.2
14.3
14.4
14.5
14.6
14.7
14.8
14.9
15.0
15.1
15.2
15.3
15.4
15.5
15.6
15.7
15.8
15.9

172

0.15571
0.15560
0.15549
0.15538
0.15527
0.15517
0.15506
0.15495
0.15484
0.15473
0.15462
0.15451
0.15441
0.15430
0.15419
0.15408
0.15397
0.15387
0.15376
0.15365
0.15355
0.15344
0.15333
0.15323
0.15312
0.15301
0.15291
0.15280
0.15270
0.15259
0.15249
0.15238
0.15227
0.15217
0.15207
0.15196
0.15186
0.15175
0.15165
0.15154
0.15144
0.15134
0.15123
0.15113
0.15102
0.15092
0.15082
0.15071
0.15061
0.15051
0.15041
0.15030
0.15020
0.15010
0.15000
0.14990

ASTM 4, 11, 13, 22, 52, 56, 57

16.0
16.1
16.2
16.3
16.4
16.5
16.6
16.7
16.8
16.9
17.0
17.1
17.2
17.3
17.4
17.5
17.6
17.7
17.8
17.9
18.0
18.1
18.2
18.3
18.4
18.5
18.6
18.7
18.8
18.9
19.0
19.1
19.2
19.3
19.4
19.5
19.6
19.7
19.8
19.9
20.0
20.1
20.2
20.3
20.4
20.5
20.6
20.7
20.8
20.9
21.0
21.1
21.2
21.3
21.4
21.5

173

0.14979
0.14969
0.14959
0.14949
0.14939
0.14929
0.14919
0.14909
0.14899
0.14888
0.14878
0.14868
0.14858
0.14848
0.14838
0.14828
0.14818
0.14809
0.14799
0.14789
0.14779
0.14769
0.14759
0.14749
0.14739
0.14729
0.14720
0.14710
0.14700
0.14690
0.14680
0.14671
0.14661
0.14651
0.14641
0.14632
0.14622
0.14612
0.14603
0.14593
0.14583
0.14574
0.14564
0.14555
0.14545
0.14535
0.14526
0.14516
0.14507
0.14497
0.14488
0.14478
0.14469
0.14459
0.14450
0.14440

ASTM 4, 11, 13, 22, 52, 56, 57

21.6
21.7
21.8
21.9
22.0
22.1
22.2
22.3
22.4
22.5
22.6
22.7
22.8
22.9
23.0
23.1
23.2
23.3
23.4
23.5
23.6
23.7
23.8
23.9
24.0
24.1
24.2
24.3
24.4
24.5
24.6
24.7
24.8
24.9
25.0
25.1
25.2
25.3
25.4
25.5
25.6
25.7
25.8
25.9
26.0
26.1
26.2
26.3
26.4
26.5
26.6
26.7
26.8
26.9
27.0
27.1

174

0.14431
0.14421
0.14412
0.14403
0.14393
0.14384
0.14374
0.14365
0.14356
0.14346
0.14337
0.14328
0.14318
0.14309
0.14300
0.14291
0.14281
0.14272
0.14263
0.14254
0.14244
0.14235
0.14226
0.14217
0.14208
0.14199
0.14190
0.14180
0.14171
0.14162
0.14153
0.14144
0.14135
0.14126
0.14117
0.14108
0.14099
0.14090
0.14081
0.14072
0.14063
0.14054
0.14045
0.14036
0.14027
0.14018
0.14009
0.14000
0.13992
0.13983
0.13974
0.13965
0.13956
0.13947
0.13939
0.13930

ASTM 4, 11, 13, 22, 52, 56, 57

27.2
27.3
27.4
27.5
27.6
27.7
27.8
27.9
28.0
28.1
28.2
28.3
28.4
28.5
28.6
28.7
28.8
28.9
29.0
29.1
29.2
29.3
29.4
29.5
29.6
29.7
29.8
29.9
30.0
30.1
30.2
30.3
30.4
30.5
30.6
30.7
30.8
30.9
31.0
31.1
31.2
31.3
31.4
31.5
31.6
31.7
31.8
31.9
32.0
32.1
32.2
32.3
32.4
32.5
32.6
32.7

175

0.13921
0.13912
0.13903
0.13895
0.13886
0.13877
0.13868
0.13860
0.13851
0.13842
0.13834
0.13825
0.13816
0.13808
0.13799
0.13790
0.13782
0.13773
0.13765
0.13756
0.13747
0.13739
0.13730
0.13722
0.13713
0.13705
0.13696
0.13688
0.13679
0.13671
0.13662
0.13654
0.13645
0.13637
0.13629
0.13620
0.13612
0.13603
0.13595
0.13587
0.13578
0.13570
0.13562
0.13553
0.13545
0.13537
0.13528
0.13520
0.13512
0.13503
0.13495
0.13487
0.13479
0.13470
0.13462
0.13454

ASTM 4, 11, 13, 22, 52, 56, 57

32.8
32.9
33.0
33.1
33.2
33.3
33.4
33.5
33.6
33.7
33.8
33.9
34.0
34.1
34.2
34.3
34.4
34.5
34.6
34.7
34.8
34.9
35.0
35.1
35.2
35.3
35.4
35.5
35.6
35.7
35.8
35.9
36.0
36.1
36.2
36.3
36.4
36.5
36.6
36.7
36.8
36.9
37.0
37.1
37.2
37.3
37.4
37.5
37.6
37.7
37.8
37.9
38.0
38.1
38.2
38.3

176

0.13446
0.13438
0.13429
0.13421
0.13413
0.13405
0.13397
0.13389
0.13381
0.13372
0.13364
0.13356
0.13348
0.13340
0.13332
0.13324
0.13316
0.13308
0.13300
0.13292
0.13284
0.13276
0.13268
0.13260
0.13252
0.13244
0.13236
0.13228
0.13220
0.13212
0.13204
0.13196
0.13189
0.13181
0.13173
0.13165
0.13157
0.13149
0.13141
0.13134
0.13126
0.13118
0.13110
0.13102
0.13095
0.13087
0.13079
0.13071
0.13064
0.13056
0.13048
0.13040
0.13033
0.13025
0.13017
0.13010

ASTM 4, 11, 13, 22, 52, 56, 57

38.4
38.5
38.6
38.7
38.8
38.9
39.0
39.1
39.2
39.3
39.4
39.5
39.6
39.7
39.8
39.9
40.0
40.1
40.2
40.3
40.4
40.5
40.6
40.7
40.8
40.9
41.0
41.1
41.2
41.3
41.4
41.5
41.6
41.7
41.8
41.9
42.0
42.1
42.2
42.3
42.4
42.5
42.6
42.7
42.8
42.9
43.0
43.1
43.2
43.3
43.4
43.5
43.6
43.7
43.8
43.9

177

0.13002
0.12994
0.12987
0.12979
0.12971
0.12964
0.12956
0.12949
0.12941
0.12933
0.12926
0.12918
0.12911
0.12903
0.12896
0.12888
0.12881
0.12873
0.12865
0.12858
0.12850
0.12843
0.12836
0.12828
0.12821
0.12813
0.12806
0.12798
0.12791
0.12783
0.12776
0.12769
0.12761
0.12754
0.12747
0.12739
0.12732
0.12724
0.12717
0.12710
0.12702
0.12695
0.12688
0.12681
0.12673
0.12666
0.12659
0.12651
0.12644
0.12637
0.12630
0.12623
0.12615
0.12608
0.12601
0.12594

ASTM 4, 11, 13, 22, 52, 56, 57

44.0
44.1
44.2
44.3
44.4
44.5
44.6
44.7
44.8
44.9
45.0
45.1
45.2
45.3
45.4
45.5
45.6
45.7
45.8
45.9
46.0
46.1
46.2
46.3
46.4
46.5
46.6
46.7
46.8
46.9
47.0
47.1
47.2
47.3
47.4
47.5
47.6
47.7
47.8
47.9
48.0
48.1
48.2
48.3
48.4
48.5
48.6
48.7
48.8
48.9
49.0
49.1
49.2
49.3
49.4
49.5

178

0.12586
0.12579
0.12572
0.12565
0.12558
0.12551
0.12544
0.12536
0.12529
0.12522
0.12515
0.12508
0.12501
0.12494
0.12487
0.12480
0.12473
0.12466
0.12459
0.12451
0.12444
0.12437
0.12430
0.12423
0.12416
0.12409
0.12402
0.12396
0.12389
0.12382
0.12375
0.12368
0.12361
0.12354
0.12347
0.12340
0.12333
0.12326
0.12319
0.12312
0.12306
0.12299
0.12292
0.12285
0.12278
0.12271
0.12265
0.12258
0.12251
0.12244
0.12237
0.12231
0.12224
0.12217
0.12210
0.12203

ASTM 4, 11, 13, 22, 52, 56, 57

49.6
49.7
49.8
49.9
50.0
50.1
50.2
50.3
50.4
50.5
50.6
50.7
50.8
50.9
51.0
51.1
51.2
51.3
51.4
51.5
51.6
51.7
51.8
51.9
52.0
52.1
52.2
52.3
52.4
52.5
52.6
52.7
52.8
52.9
53.0
53.1
53.2
53.3
53.4
53.5
53.6
53.7
53.8
53.9
54.0
54.1
54.2
54.3
54.4
54.5
54.6
54.7
54.8
54.9
55.0
55.1

179

0.12197
0.12190
0.12183
0.12177
0.12170
0.12163
0.12156
0.12150
0.12143
0.12136
0.12130
0.12123
0.12116
0.12110
0.12103
0.12096
0.12090
0.12083
0.12076
0.12070
0.12063
0.12057
0.12050
0.12044
0.12037
0.12030
0.12024
0.12017
0.12011
0.12004
0.11998
0.11991
0.11985
0.11978
0.11972
0.11965
0.11959
0.11952
0.11946
0.11939
0.11933
0.11926
0.11920
0.11913
0.11907
0.11901
0.11894
0.11888
0.11881
0.11875
0.11869
0.11862
0.11856
0.11849
0.11843
0.11837

ASTM 4, 11, 13, 22, 52, 56, 57

55.2
55.3
55.4
55.5
55.6
55.7
55.8
55.9
56.0
56.1
56.2
56.3
56.4
56.5
56.6
56.7
56.8
56.9
57.0
57.1
57.2
57.3
57.4
57.5
57.6
57.7
57.8
57.9
58.0
58.1
58.2
58.3
58.4
58.5
58.6
58.7
58.8
58.9
59.0
59.1
59.2
59.3
59.4
59.5
59.6
59.7
59.8
59.9
60.0
60.1
60.2
60.3
60.4
60.5
60.6
60.7

180

0.11830
0.11824
0.11818
0.11811
0.11805
0.11799
0.11792
0.11786
0.11780
0.11773
0.11767
0.11761
0.11755
0.11748
0.11742
0.11736
0.11730
0.11723
0.11717
0.11711
0.11705
0.11699
0.11692
0.11686
0.11680
0.11674
0.11668
0.11661
0.11655
0.11649
0.11643
0.11637
0.11631
0.11624
0.11618
0.11612
0.11606
0.11600
0.11594
0.11588
0.11582
0.11576
0.11570
0.11564
0.11557
0.11551
0.11545
0.11539
0.11533
0.11527
0.11521
0.11515
0.11509
0.11503
0.11497
0.11491

ASTM 4, 11, 13, 22, 52, 56, 57

60.8
60.9
61.0
61.1
61.2
61.3
61.4
61.5
61.6
61.7
61.8
61.9
62.0
62.1
62.2
62.3
62.4
62.5
62.6
62.7
62.8
62.9
63.0
63.1
63.2
63.3
63.4
63.5
63.6
63.7
63.8
63.9
64.0
64.1
64.2
64.3
64.4
64.5
64.6
64.7
64.8
64.9
65.0
65.1
65.2
65.3
65.4
65.5
65.6
65.7
65.8
65.9
66.0
66.1
66.2
66.3

181

0.11485
0.11479
0.11473
0.11467
0.11461
0.11455
0.11449
0.11444
0.11438
0.11432
0.11426
0.11420
0.11414
0.11408
0.11402
0.11396
0.11390
0.11384
0.11379
0.11373
0.11367
0.11361
0.11355
0.11349
0.11343
0.11338
0.11332
0.11326
0.11320
0.11314
0.11309
0.11303
0.11297
0.11291
0.11285
0.11280
0.11274
0.11268
0.11262
0.11257
0.11251
0.11245
0.11239
0.11234
0.11228
0.11222
0.11216
0.11211
0.11205
0.11199
0.11194
0.11188
0.11182
0.11177
0.11171
0.11165

ASTM 4, 11, 13, 22, 52, 56, 57

66.4
66.5
66.6
66.7
66.8
66.9
67.0
67.1
67.2
67.3
67.4
67.5
67.6
67.7
67.8
67.9
68.0
68.1
68.2
68.3
68.4
68.5
68.6
68.7
68.8
68.9
69.0
69.1
69.2
69.3
69.4
69.5
69.6
69.7
69.8
69.9
70.0
70.1
70.2
70.3
70.4
70.5
70.6
70.7
70.8
70.9
71.0
71.1
71.2
71.3
71.4
71.5
71.6
71.7
71.8
71.9

182

0.11160
0.11154
0.11148
0.11143
0.11137
0.11132
0.11126
0.11120
0.11115
0.11109
0.11103
0.11098
0.11092
0.11087
0.11081
0.11076
0.11070
0.11064
0.11059
0.11053
0.11048
0.11042
0.11037
0.11031
0.11026
0.11020
0.11015
0.11009
0.11004
0.10998
0.10993
0.10987
0.10982
0.10976
0.10971
0.10965
0.10960
0.10955
0.10949
0.10944
0.10938
0.10933
0.10927
0.10922
0.10917
0.10911
0.10906
0.10900
0.10895
0.10890
0.10884
0.10879
0.10873
0.10868
0.10863
0.10857

ASTM 4, 11, 13, 22, 52, 56, 57

72.0
72.1
72.2
72.3
72.4
72.5
72.6
72.7
72.8
72.9
73.0
73.1
73.2
73.3
73.4
73.5
73.6
73.7
73.8
73.9
74.0
74.1
74.2
74.3
74.4
74.5
74.6
74.7
74.8
74.9
75.0
75.1
75.2
75.3
75.4
75.5
75.6
75.7
75.8
75.9
76.0
76.1
76.2
76.3
76.4
76.5
76.6
76.7
76.8
76.9
77.0
77.1
77.2
77.3
77.4
77.5

183

0.10852
0.10847
0.10841
0.10836
0.10831
0.10825
0.10820
0.10815
0.10810
0.10804
0.10799
0.10794
0.10788
0.10783
0.10778
0.10773
0.10767
0.10762
0.10757
0.10752
0.10746
0.10741
0.10736
0.10731
0.10725
0.10720
0.10715
0.10710
0.10705
0.10699
0.10694
0.10689
0.10684
0.10679
0.10673
0.10668
0.10663
0.10658
0.10653
0.10648
0.10643
0.10637
0.10632
0.10627
0.10622
0.10617
0.10612
0.10607
0.10602
0.10596
0.10591
0.10586
0.10581
0.10576
0.10571
0.10566

ASTM 4, 11, 13, 22, 52, 56, 57

77.6
77.7
77.8
77.9
78.0
78.1
78.2
78.3
78.4
78.5
78.6
78.7
78.8
78.9
79.0
79.1
79.2
79.3
79.4
79.5
79.6
79.7
79.8
79.9
80.0
80.1
80.2
80.3
80.4
80.5
80.6
80.7
80.8
80.9
81.0
81.1
81.2
81.3
81.4
81.5
81.6
81.7
81.8
81.9
82.0
82.1
82.2
82.3
82.4
82.5
82.6
82.7
82.8
82.9
83.0
83.1

184

0.10561
0.10556
0.10551
0.10546
0.10541
0.10536
0.10531
0.10526
0.10521
0.10516
0.10511
0.10506
0.10501
0.10496
0.10491
0.10486
0.10481
0.10476
0.10471
0.10466
0.10461
0.10456
0.10451
0.10446
0.10441
0.10436
0.10431
0.10426
0.10421
0.10416
0.10411
0.10406
0.10401
0.10397
0.10392
0.10387
0.10382
0.10377
0.10372
0.10367
0.10362
0.10357
0.10353
0.10348
0.10343
0.10338
0.10333
0.10328
0.10324
0.10319
0.10314
0.10309
0.10304
0.10299
0.10295
0.10290

ASTM 4, 11, 13, 22, 52, 56, 57

83.2
83.3
83.4
83.5
83.6
83.7
83.8
83.9
84.0
84.1
84.2
84.3
84.4
84.5
84.6
84.7
84.8
84.9
85.0

185

0.10285
0.10280
0.10275
0.10271
0.10266
0.10261
0.10256
0.10251
0.10247
0.10242
0.10237
0.10232
0.10228
0.10223
0.10218
0.10213
0.10209
0.10204
0.10199

ASTM 4, 11, 13, 22, 52, 56, 57

ASTM Table 13
API

MT
per Bbls

0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
4.1
4.2
4.3
4.4
4.5
4.6
4.7

0.17074
0.17061
0.17048
0.17035
0.17022
0.17009
0.16996
0.16983
0.16971
0.16958
0.16945
0.16932
0.16919
0.16907
0.16894
0.16881
0.16869
0.16856
0.16843
0.16831
0.16818
0.16805
0.16793
0.16780
0.16768
0.16755
0.16743
0.16730
0.16718
0.16705
0.16693
0.16680
0.16668
0.16656
0.16643
0.16631
0.16618
0.16606
0.16594
0.16582
0.16569
0.16557
0.16545
0.16533
0.16521
0.16508
0.16496
0.16484

ASTM Table 22

Relative
Density
( 60/60F )

M @15C /
BBL @60F

Relative
Density
( 60/60F )

Ltrs @15C /
US Gallon @60F

0.656
0.683
0.684
0.722
0.723
0.768
0.769
0.780
0.781
0.799
0.800
0.859
0.860
0.864
0.865
1.075

0.15886
0.15886
0.15887
0.15887
0.15888
0.15888
0.15889
0.15889
0.15890
0.15890
0.15891
0.15891
0.15892
0.15892
0.15893
0.15893

0.654
0.661
0.662
0.675
0.676
0.691
0.692
0.707
0.708
0.724
0.725
0.743
0.744
0.763
0.764
0.773
0.774
0.777
0.778
0.781
0.782
0.786
0.787
0.798
0.799
0.820
0.821
0.844
0.845
0.883
0.884
0.926
0.927
0.975
0.976
1.031
1.032
1.075

3.7823
3.7823
3.7824
3.7824
3.7825
3.7825
3.7826
3.7826
3.7827
3.7827
3.7828
3.7828
3.7829
3.7829
3.7830
3.7830
3.7831
3.7831
3.7832
3.7832
3.7833
3.7833
3.7834
3.7834
3.7835
3.7835
3.7836
3.7836
3.7837
3.7837
3.7838
3.7838
3.7839
3.7839
3.7840
3.7840
3.7841
3.7841

186

ASTM Table

ASTM 4, 11, 13, 22, 52, 56, 57

0.16472
0.16460
0.16448
0.16436
0.16424
0.16412
0.16400
0.16388
0.16376
0.16364
0.16352
0.16340
0.16328
0.16316
0.16304
0.16293
0.16281
0.16269
0.16257
0.16245
0.16234
0.16222
0.16210
0.16198
0.16187
0.16175
0.16163
0.16152
0.16140
0.16128
0.16117
0.16105
0.16094
0.16082
0.16071
0.16059
0.16048
0.16036
0.16025
0.16013
0.16002
0.15990
0.15979
0.15968
0.15956
0.15945
0.15934
0.15922
0.15911
0.15900
0.15888
0.15877
0.15866
0.15855
0.15844
0.15832

187

ASTM 4, 11, 13, 22, 52, 56, 57

0.15821
0.15810
0.15799
0.15788
0.15777
0.15766
0.15754
0.15743
0.15732
0.15721
0.15710
0.15699
0.15688
0.15677
0.15666
0.15655
0.15645
0.15634
0.15623
0.15612
0.15601
0.15590
0.15579
0.15569
0.15558
0.15547
0.15536
0.15525
0.15515
0.15504
0.15493
0.15483
0.15472
0.15461
0.15451
0.15440
0.15429
0.15419
0.15408
0.15397
0.15387
0.15376
0.15366
0.15355
0.15345
0.15334
0.15324
0.15313
0.15303
0.15292
0.15282
0.15272
0.15261
0.15251
0.15240
0.15230

188

ASTM 4, 11, 13, 22, 52, 56, 57

0.15220
0.15209
0.15199
0.15189
0.15179
0.15168
0.15158
0.15148
0.15138
0.15127
0.15117
0.15107
0.15097
0.15087
0.15077
0.15066
0.15056
0.15046
0.15036
0.15026
0.15016
0.15006
0.14996
0.14986
0.14976
0.14966
0.14956
0.14946
0.14936
0.14926
0.14916
0.14906
0.14896
0.14886
0.14876
0.14867
0.14857
0.14847
0.14837
0.14827
0.14817
0.14808
0.14798
0.14788
0.14778
0.14769
0.14759
0.14749
0.14740
0.14730
0.14720
0.14710
0.14701
0.14691
0.14682
0.14672

189

ASTM 4, 11, 13, 22, 52, 56, 57

0.14662
0.14653
0.14643
0.14634
0.14624
0.14615
0.14605
0.14596
0.14586
0.14577
0.14567
0.14558
0.14548
0.14539
0.14529
0.14520
0.14511
0.14501
0.14492
0.14482
0.14473
0.14464
0.14454
0.14445
0.14436
0.14426
0.14417
0.14408
0.14399
0.14389
0.14380
0.14371
0.14362
0.14353
0.14343
0.14334
0.14325
0.14316
0.14307
0.14298
0.14289
0.14279
0.14270
0.14261
0.14252
0.14243
0.14234
0.14225
0.14216
0.14207
0.14198
0.14189
0.14180
0.14171
0.14162
0.14153

190

ASTM 4, 11, 13, 22, 52, 56, 57

0.14144
0.14135
0.14126
0.14118
0.14109
0.14100
0.14091
0.14082
0.14073
0.14064
0.14056
0.14047
0.14038
0.14029
0.14020
0.14012
0.14003
0.13994
0.13985
0.13977
0.13968
0.13959
0.13951
0.13942
0.13933
0.13925
0.13916
0.13907
0.13899
0.13890
0.13882
0.13873
0.13864
0.13856
0.13847
0.13839
0.13830
0.13822
0.13813
0.13805
0.13796
0.13788
0.13779
0.13771
0.13762
0.13754
0.13745
0.13737
0.13728
0.13720
0.13712
0.13703
0.13695
0.13687
0.13678
0.13670

191

ASTM 4, 11, 13, 22, 52, 56, 57

0.13662
0.13653
0.13645
0.13637
0.13628
0.13620
0.13612
0.13604
0.13595
0.13587
0.13579
0.13571
0.13562
0.13554
0.13546
0.13538
0.13530
0.13521
0.13513
0.13505
0.13497
0.13489
0.13481
0.13473
0.13465
0.13457
0.13448
0.13440
0.13432
0.13424
0.13416
0.13408
0.13400
0.13392
0.13384
0.13376
0.13368
0.13360
0.13352
0.13344
0.13336
0.13328
0.13321
0.13313
0.13305
0.13297
0.13289
0.13281
0.13273
0.13265
0.13258
0.13250
0.13242
0.13234
0.13226
0.13218

192

ASTM 4, 11, 13, 22, 52, 56, 57

0.13211
0.13203
0.13195
0.13187
0.13180
0.13172
0.13164
0.13156
0.13149
0.13141
0.13133
0.13126
0.13118
0.13110
0.13103
0.13095
0.13087
0.13080
0.13072
0.13064
0.13057
0.13049
0.13042
0.13034
0.13026
0.13019
0.13011
0.13004
0.12996
0.12989
0.12981
0.12974
0.12966
0.12959
0.12951
0.12944
0.12936
0.12929
0.12921
0.12914
0.12906
0.12899
0.12891
0.12884
0.12877
0.12869
0.12862
0.12854
0.12847
0.12840
0.12832
0.12825
0.12818
0.12810
0.12803
0.12796

193

ASTM 4, 11, 13, 22, 52, 56, 57

0.12788
0.12781
0.12774
0.12767
0.12759
0.12752
0.12745
0.12738
0.12730
0.12723
0.12716
0.12709
0.12701
0.12694
0.12687
0.12680
0.12673
0.12666
0.12658
0.12651
0.12644
0.12637
0.12630
0.12623
0.12616
0.12609
0.12601
0.12594
0.12587
0.12580
0.12573
0.12566
0.12559
0.12552
0.12545
0.12538
0.12531
0.12524
0.12517
0.12510
0.12503
0.12496
0.12489
0.12482
0.12475
0.12468
0.12461
0.12454
0.12448
0.12441
0.12434
0.12427
0.12420
0.12413
0.12406
0.12399

194

ASTM 4, 11, 13, 22, 52, 56, 57

0.12392
0.12386
0.12379
0.12372
0.12365
0.12358
0.12351
0.12345
0.12338
0.12331
0.12324
0.12317
0.12311
0.12304
0.12297
0.12290
0.12284
0.12277
0.12270
0.12264
0.12257
0.12250
0.12243
0.12237
0.12230
0.12223
0.12217
0.12210
0.12203
0.12197
0.12190
0.12184
0.12177
0.12170
0.12164
0.12157
0.12151
0.12144
0.12137
0.12131
0.12124
0.12118
0.12111
0.12105
0.12098
0.12091
0.12085
0.12078
0.12072
0.12065
0.12059
0.12052
0.12046
0.12040
0.12033
0.12027

195

ASTM 4, 11, 13, 22, 52, 56, 57

0.12020
0.12014
0.12007
0.12001
0.11994
0.11988
0.11982
0.11975
0.11969
0.11962
0.11956
0.11950
0.11943
0.11937
0.11931
0.11924
0.11918
0.11912
0.11905
0.11899
0.11893
0.11886
0.11880
0.11874
0.11867
0.11861
0.11855
0.11849
0.11842
0.11836
0.11830
0.11824
0.11817
0.11811
0.11805
0.11799
0.11792
0.11786
0.11780
0.11774
0.11768
0.11761
0.11755
0.11749
0.11743
0.11737
0.11731
0.11725
0.11718
0.11712
0.11706
0.11700
0.11694
0.11688
0.11682
0.11676

196

ASTM 4, 11, 13, 22, 52, 56, 57

0.11670
0.11663
0.11657
0.11651
0.11645
0.11639
0.11633
0.11627
0.11621
0.11615
0.11609
0.11603
0.11597
0.11591
0.11585
0.11579
0.11573
0.11567
0.11561
0.11555
0.11549
0.11543
0.11537
0.11531
0.11525
0.11520
0.11514
0.11508
0.11502
0.11496
0.11490
0.11484
0.11478
0.11472
0.11466
0.11461
0.11455
0.11449
0.11443
0.11437
0.11431
0.11426
0.11420
0.11414
0.11408
0.11402
0.11396
0.11391
0.11385
0.11379
0.11373
0.11368
0.11362
0.11356
0.11350
0.11345

197

ASTM 4, 11, 13, 22, 52, 56, 57

0.11339
0.11333
0.11327
0.11322
0.11316
0.11310
0.11304
0.11299
0.11293
0.11287
0.11282
0.11276
0.11270
0.11265
0.11259
0.11253
0.11248
0.11242
0.11236
0.11231
0.11225
0.11220
0.11214
0.11208
0.11203
0.11197
0.11191
0.11186
0.11180
0.11175
0.11169
0.11164
0.11158
0.11152
0.11147
0.11141
0.11136
0.11130
0.11125
0.11119
0.11114
0.11108
0.11103
0.11097
0.11092
0.11086
0.11081
0.11075
0.11070
0.11064
0.11059
0.11053
0.11048
0.11043
0.11037
0.11032

198

ASTM 4, 11, 13, 22, 52, 56, 57

0.11026
0.11021
0.11015
0.11010
0.11005
0.10999
0.10994
0.10988
0.10983
0.10978
0.10972
0.10967
0.10961
0.10956
0.10951
0.10945
0.10940
0.10935
0.10929
0.10924
0.10919
0.10913
0.10908
0.10903
0.10897
0.10892
0.10887
0.10882
0.10876
0.10871
0.10866
0.10860
0.10855
0.10850
0.10845
0.10839
0.10834
0.10829
0.10824
0.10819
0.10813
0.10808
0.10803
0.10798
0.10792
0.10787
0.10782
0.10777
0.10772
0.10767
0.10761
0.10756
0.10751
0.10746
0.10741
0.10736

199

ASTM 4, 11, 13, 22, 52, 56, 57

0.10730
0.10725
0.10720
0.10715
0.10710
0.10705
0.10700
0.10695
0.10689
0.10684
0.10679
0.10674
0.10669
0.10664
0.10659
0.10654
0.10649
0.10644
0.10639
0.10634
0.10629
0.10624
0.10618
0.10613
0.10608
0.10603
0.10598
0.10593
0.10588
0.10583
0.10578
0.10573
0.10568
0.10563
0.10558
0.10553
0.10548
0.10543
0.10539
0.10534
0.10529
0.10524
0.10519
0.10514
0.10509
0.10504
0.10499
0.10494
0.10489
0.10484
0.10479
0.10474
0.10470
0.10465
0.10460
0.10455

200

ASTM 4, 11, 13, 22, 52, 56, 57

83.2
83.3
83.4
83.5
83.6
83.7
83.8
83.9
84.0
84.1
84.2
84.3
84.4
84.5
84.6
84.7
84.8
84.9
85.0

0.10450
0.10445
0.10440
0.10435
0.10431
0.10426
0.10421
0.10416
0.10411
0.10406
0.10401
0.10397
0.10392
0.10387
0.10382
0.10377
0.10373
0.10368
0.10363

201

ASTM 4, 11, 13, 22, 52, 56, 57

ASTM Table 52

ASTM Table 56

DENSITY
@ 15C

US Bbls @60F /
M @15C

DENSITY
@ 15C

M @15C /
US Bbl @60F

DENSITY
@ 15C
(kg/L)

Factor for Converting

Weight in Vacuo
to Weight in Air

654.0
697.0
698.0
778.0
779.0
901.0
902.0
1074.0

6.295
6.295
6.294
6.294
6.293
6.293
6.292
6.292

654.0
683.0
684.0
722.0
723.0
768.0
769.0
779.0
780.0
798.0
799.0
859.0
860.0
964.0
965.0
1074.0

0.15886
0.15886
0.15887
0.15887
0.15888
0.15888
0.15889
0.15889
0.15890
0.15890
0.15891
0.15891
0.15892
0.15892
0.15893
0.15893

0.5000
0.5191
0.5192
0.5421
0.5422
0.5673
0.5674
0.5950
0.5951
0.6255
0.6256
0.6593
0.6594
0.6970
0.6971
0.7392
0.7393
0.7869
0.7870
0.8411
0.8412
0.9034
0.9035
0.9756
0.9757
1.0604
1.0605
1.1000

0.99775
0.99775
0.99785
0.99785
0.99795
0.99795
0.99805
0.99805
0.99815
0.99815
0.99825
0.99825
0.99835
0.99835
0.99845
0.99845
0.99855
0.99855
0.99865
0.99865
0.99875
0.99875
0.99885
0.99885
0.99895
0.99895
0.99905
0.99905

202

ASTM Ta

ASTM 4, 11, 13, 22, 52, 56, 57

203

ASTM 4, 11, 13, 22, 52, 56, 57

204

ASTM 4, 11, 13, 22, 52, 56, 57

205

ASTM 4, 11, 13, 22, 52, 56, 57

206

ASTM 4, 11, 13, 22, 52, 56, 57

207

ASTM 4, 11, 13, 22, 52, 56, 57

208

ASTM 4, 11, 13, 22, 52, 56, 57

209

ASTM 4, 11, 13, 22, 52, 56, 57

210

ASTM 4, 11, 13, 22, 52, 56, 57

211

ASTM 4, 11, 13, 22, 52, 56, 57

212

ASTM 4, 11, 13, 22, 52, 56, 57

213

ASTM 4, 11, 13, 22, 52, 56, 57

214

ASTM 4, 11, 13, 22, 52, 56, 57

215

ASTM 4, 11, 13, 22, 52, 56, 57

216

ASTM 4, 11, 13, 22, 52, 56, 57

217

ASTM 4, 11, 13, 22, 52, 56, 57

ASTM Table 56
DENSITY
@ 15C
(kg/L)

Factor for Converting

Weight in Air
to Weight in Vacuo

0.5000
0.5201
0.5202
0.5432
0.5433
0.5684
0.5685
0.5960
0.5961
0.6265
0.6266
0.6603
0.6604
0.6980
0.6981
0.7402
0.7403
0.7879
0.7880
0.8421
0.8422
0.9044
0.9045
0.9766
0.9767
1.0614
1.0615
1.1000

1.00225
1.00225
1.00215
1.00215
1.00205
1.00205
1.00195
1.00195
1.00185
1.00185
1.00175
1.00175
1.00165
1.00165
1.00155
1.00155
1.00145
1.00145
1.00135
1.00135
1.00125
1.00125
1.00115
1.00115
1.00105
1.00105
1.00095
1.00095

ASTM Table 57
DENSITY
@ 15C

LT
per Cub.M.

0
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700

0.0000
0.6426
0.6436
0.6445
0.6455
0.6465
0.6475
0.6485
0.6495
0.6504
0.6514
0.6524
0.6534
0.6544
0.6554
0.6563
0.6573
0.6583
0.6593
0.6603
0.6613
0.6623
0.6632
0.6642
0.6652
0.6662
0.6672
0.6682
0.6691
0.6701
0.6711
0.6721
0.6731
0.6741
0.6751
0.6760
0.6770
0.6780
0.6790
0.6800
0.6810
0.6819
0.6829
0.6839
0.6849
0.6859
0.6869
0.6878

218

ASTM 4, 11, 13, 22, 52, 56, 57

701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756

0.6888
0.6898
0.6908
0.6918
0.6928
0.6938
0.6947
0.6957
0.6967
0.6977
0.6987
0.6997
0.7006
0.7016
0.7026
0.7036
0.7046
0.7056
0.7066
0.7075
0.7085
0.7095
0.7105
0.7115
0.7125
0.7134
0.7144
0.7154
0.7164
0.7174
0.7184
0.7193
0.7203
0.7213
0.7223
0.7233
0.7243
0.7253
0.7262
0.7272
0.7282
0.7292
0.7302
0.7312
0.7321
0.7331
0.7341
0.7351
0.7361
0.7371
0.7380
0.7390
0.7400
0.7410
0.7420
0.7430

219

ASTM 4, 11, 13, 22, 52, 56, 57

757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812

0.7440
0.7449
0.7459
0.7469
0.7479
0.7489
0.7499
0.7508
0.7518
0.7528
0.7538
0.7548
0.7558
0.7568
0.7577
0.7587
0.7597
0.7607
0.7617
0.7627
0.7636
0.7646
0.7656
0.7666
0.7676
0.7686
0.7695
0.7705
0.7715
0.7725
0.7735
0.7745
0.7755
0.7764
0.7774
0.7784
0.7794
0.7804
0.7814
0.7823
0.7833
0.7843
0.7853
0.7863
0.7873
0.7883
0.7892
0.7902
0.7912
0.7922
0.7932
0.7942
0.7951
0.7961
0.7971
0.7981

220

ASTM 4, 11, 13, 22, 52, 56, 57

813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868

0.7991
0.8001
0.8010
0.8020
0.8030
0.8040
0.8050
0.8060
0.8070
0.8079
0.8089
0.8099
0.8109
0.8119
0.8129
0.8138
0.8148
0.8158
0.8168
0.8178
0.8188
0.8198
0.8207
0.8217
0.8227
0.8237
0.8247
0.8257
0.8266
0.8276
0.8286
0.8296
0.8306
0.8316
0.8325
0.8335
0.8345
0.8355
0.8365
0.8375
0.8385
0.8394
0.8404
0.8414
0.8424
0.8434
0.8444
0.8453
0.8463
0.8473
0.8483
0.8493
0.8503
0.8513
0.8522
0.8532

221

ASTM 4, 11, 13, 22, 52, 56, 57

869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924

0.8542
0.8552
0.8562
0.8572
0.8581
0.8591
0.8601
0.8611
0.8621
0.8631
0.8640
0.8650
0.8660
0.8670
0.8680
0.8690
0.8700
0.8709
0.8719
0.8729
0.8739
0.8749
0.8759
0.8768
0.8778
0.8788
0.8798
0.8808
0.8818
0.8827
0.8837
0.8847
0.8857
0.8867
0.8877
0.8887
0.8896
0.8906
0.8916
0.8926
0.8936
0.8946
0.8955
0.8965
0.8975
0.8985
0.8995
0.9005
0.9015
0.9024
0.9034
0.9044
0.9054
0.9064
0.9074
0.9083

222

ASTM 4, 11, 13, 22, 52, 56, 57

925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980

0.9093
0.9103
0.9113
0.9123
0.9133
0.9142
0.9152
0.9162
0.9172
0.9182
0.9192
0.9202
0.9211
0.9221
0.9231
0.9241
0.9251
0.9261
0.9270
0.9280
0.9290
0.9300
0.9310
0.9320
0.9330
0.9339
0.9349
0.9359
0.9369
0.9379
0.9389
0.9398
0.9408
0.9418
0.9428
0.9438
0.9448
0.9457
0.9467
0.9477
0.9487
0.9497
0.9507
0.9517
0.9526
0.9536
0.9546
0.9556
0.9566
0.9576
0.9585
0.9595
0.9605
0.9615
0.9625
0.9635

223

ASTM 4, 11, 13, 22, 52, 56, 57

981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036

0.9645
0.9654
0.9664
0.9674
0.9684
0.9694
0.9704
0.9713
0.9723
0.9733
0.9743
0.9753
0.9763
0.9772
0.9782
0.9792
0.9802
0.9812
0.9822
0.9832
0.9841
0.9851
0.9861
0.9871
0.9881
0.9891
0.9900
0.9910
0.9920
0.9930
0.9940
0.9950
0.9960
0.9969
0.9979
0.9989
0.9999
1.0009
1.0019
1.0028
1.0038
1.0048
1.0058
1.0068
1.0078
1.0087
1.0097
1.0107
1.0117
1.0127
1.0137
1.0147
1.0156
1.0166
1.0176
1.0186

224

ASTM 4, 11, 13, 22, 52, 56, 57

1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075

1.0196
1.0206
1.0215
1.0225
1.0235
1.0245
1.0255
1.0265
1.0274
1.0284
1.0294
1.0304
1.0314
1.0324
1.0334
1.0343
1.0353
1.0363
1.0373
1.0383
1.0393
1.0402
1.0412
1.0422
1.0432
1.0442
1.0452
1.0462
1.0471
1.0481
1.0491
1.0501
1.0511
1.0521
1.0530
1.0540
1.0550
1.0560
1.0570

225

Conversion Tables for Crude Oil

Based on ASTM Tables D1250-80 53A, 51, 56 & 58
Duplicate of Table produced and utilsed by Nafta Moscow
20

API

FACT

0.8200
0.8201
0.8202
0.8203
0.8204
0.8205
0.8206
0.8207
0.8208
0.8209
0.8210
0.8211
0.8212
0.8213
0.8214
0.8215
0.8216
0.8217
0.8218
0.8219
0.8220
0.8221
0.8222
0.8223
0.8224
0.8225
0.8226
0.8227
0.8228
0.8229
0.8230
0.8231
0.8232
0.8233
0.8234
0.8235
0.8236
0.8237
0.8238

0.8236
0.8237
0.8238
0.8239
0.8240
0.8241
0.8242
0.8243
0.8244
0.8245
0.8246
0.8247
0.8248
0.8249
0.8250
0.8251
0.8252
0.8253
0.8254
0.8255
0.8256
0.8257
0.8258
0.8259
0.8260
0.8261
0.8262
0.8263
0.8264
0.8265
0.8266
0.8267
0.8268
0.8269
0.8270
0.8271
0.8272
0.8273
0.8274

40.22
40.20
40.18
40.16
40.14
40.12
40.10
40.08
40.06
40.04
40.01
39.99
39.97
39.95
39.93
39.91
39.89
39.87
39.85
39.83
39.80
39.78
39.76
39.74
39.72
39.70
39.68
39.66
39.64
39.62
39.59
39.57
39.55
39.53
39.51
39.49
39.47
39.45
39.43

7.6403
7.6394
7.6385
7.6376
7.6367
7.6358
7.6349
7.6340
7.6331
7.6322
7.6313
7.6304
7.6295
7.6286
7.6277
7.6268
7.6259
7.6250
7.6241
7.6232
7.6223
7.6214
7.6205
7.6196
7.6187
7.6177
7.6167
7.6157
7.6147
7.6137
7.6127
7.6117
7.6107
7.6097
7.6087
7.6078
7.6069
7.6060
7.6051

0.8239
0.8240
0.8241
0.8242
0.8243
0.8244
0.8245
0.8246
0.8247
0.8248
0.8249
0.8250
0.8251
0.8252
0.8253

0.8275
0.8276
0.8277
0.8278
0.8279
0.8280
0.8281
0.8282
0.8283
0.8284
0.8285
0.8286
0.8287
0.8288
0.8289

39.41
39.39
39.37
39.35
39.33
39.31
39.29
39.27
39.25
39.23
39.21
39.18
39.16
39.14
39.12

7.6042
7.6033
7.6024
7.6015
7.6006
7.5997
7.5988
7.5979
7.5970
7.5961
7.5952
7.5943
7.5934
7.5925
7.5916

0.8254
0.8255
0.8256
0.8257
0.8258
0.8259
0.8260
0.8261
0.8262
0.8263
0.8264
0.8265
0.8266
0.8267
0.8268
0.8269
0.8270
0.8271
0.8272
0.8273
0.8274
0.8275
0.8276
0.8277
0.8278
0.8279
0.8280
0.8281
0.8282

0.8290
0.8291
0.8292
0.8293
0.8294
0.8295
0.8296
0.8297
0.8298
0.8299
0.8300
0.8301
0.8302
0.8303
0.8304
0.8305
0.8306
0.8307
0.8308
0.8309
0.8310
0.8311
0.8312
0.8313
0.8314
0.8315
0.8316
0.8317
0.8318

39.10
39.08
39.06
39.04
39.02
39.00
38.98
38.96
38.94
38.92
38.90
38.88
38.86
38.84
38.82
38.80
38.77
38.75
38.73
38.71
38.69
38.67
38.65
38.63
38.61
38.59
38.57
38.55
38.53

7.5907
7.5898
7.5889
7.5880
7.5871
7.5862
7.5853
7.5844
7.5835
7.5826
7.5818
7.5809
7.5800
7.5791
7.5782
7.5773
7.5764
7.5755
7.5746
7.5737
7.5728
7.5718
7.5708
7.5698
7.5688
7.5678
7.5668
7.5658
7.5648

0.8283
0.8284
0.8285
0.8286
0.8287
0.8288
0.8289
0.8290
0.8291
0.8292
0.8293
0.8294
0.8295
0.8296
0.8297
0.8298
0.8299
0.8300
0.8301
0.8302
0.8303
0.8304
0.8305
0.8306
0.8307
0.8308
0.8309
0.8310
0.8311
0.8312
0.8313
0.8314
0.8315
0.8316
0.8317
0.8318
0.8319
0.8320
0.8321
0.8322
0.8323
0.8324
0.8325
0.8326

0.8319
0.8320
0.8321
0.8322
0.8323
0.8324
0.8325
0.8326
0.8327
0.8328
0.8329
0.8330
0.8331
0.8332
0.8333
0.8334
0.8335
0.8336
0.8337
0.8338
0.8339
0.8340
0.8341
0.8342
0.8343
0.8344
0.8345
0.8346
0.8347
0.8348
0.8349
0.8350
0.8351
0.8352
0.8353
0.8354
0.8355
0.8356
0.8357
0.8358
0.8359
0.8360
0.8361
0.8362

38.51
38.49
38.47
38.45
38.43
38.41
38.39
38.36
38.34
38.32
38.30
38.28
38.26
38.24
38.22
38.20
38.18
38.16
38.14
38.12
38.10
38.08
38.06
38.04
38.02
38.00
37.98
37.95
37.93
37.91
37.89
37.87
37.85
37.83
37.81
37.79
37.77
37.75
37.73
37.71
37.69
37.67
37.65
37.63

7.5638
7.5628
7.5619
7.5610
7.5601
7.5592
7.5583
7.5574
7.5565
7.5556
7.5547
7.5538
7.5529
7.5520
7.5511
7.5502
7.5493
7.5484
7.5475
7.5466
7.5457
7.5448
7.5439
7.5430
7.5421
7.5412
7.5403
7.5394
7.5385
7.5376
7.5367
7.5358
7.5349
7.5340
7.5331
7.5322
7.5313
7.5304
7.5295
7.5286
7.5277
7.5268
7.5259
7.5250

0.8327
0.8328
0.8329
0.8330
0.8331
0.8332
0.8333
0.8334
0.8335
0.8336
0.8337
0.8338
0.8339
0.8340
0.8341
0.8342
0.8343
0.8344
0.8345
0.8346
0.8347
0.8348
0.8349
0.8350
0.8351
0.8352
0.8353
0.8354
0.8355
0.8356
0.8357
0.8358
0.8359
0.8360
0.8361
0.8362
0.8363
0.8364
0.8365
0.8366
0.8367
0.8368
0.8369
0.8370

0.8363
0.8364
0.8365
0.8366
0.8367
0.8368
0.8369
0.8370
0.8371
0.8372
0.8373
0.8374
0.8375
0.8376
0.8377
0.8378
0.8379
0.8380
0.8381
0.8382
0.8383
0.8384
0.8385
0.8386
0.8387
0.8388
0.8389
0.8390
0.8391
0.8392
0.8393
0.8394
0.8395
0.8396
0.8397
0.8398
0.8399
0.8400
0.8401
0.8402
0.8403
0.8404
0.8405
0.8406

37.61
37.59
37.57
37.55
37.53
37.51
37.49
37.47
37.45
37.43
37.41
37.39
37.37
37.35
37.33
37.31
37.29
37.27
37.25
37.23
37.21
37.19
37.17
37.15
37.13
37.11
37.09
37.07
37.05
37.03
37.01
36.99
36.97
36.94
36.92
36.90
36.88
36.86
36.84
36.82
36.80
36.78
36.76
36.74

7.5241
7.5232
7.5223
7.5214
7.5205
7.5196
7.5187
7.5178
7.5169
7.5160
7.5151
7.5142
7.5133
7.5124
7.5115
7.5106
7.5097
7.5088
7.5080
7.5071
7.5062
7.5053
7.5044
7.5035
7.5026
7.5017
7.5008
7.4999
7.4990
7.4981
7.4972
7.4963
7.4954
7.4945
7.4936
7.4927
7.4918
7.4909
7.4900
7.4891
7.4882
7.4873
7.4864
7.4855

0.8371
0.8372
0.8373
0.8374
0.8375
0.8376
0.8377
0.8378
0.8379
0.8380
0.8381
0.8382
0.8383
0.8384
0.8385
0.8386
0.8387
0.8388
0.8389
0.8390
0.8391
0.8392
0.8393
0.8394
0.8395
0.8396
0.8397
0.8398
0.8399
0.8400
0.8401
0.8402
0.8403
0.8404
0.8405
0.8406
0.8407
0.8408
0.8409
0.8410
0.8411
0.8412
0.8413
0.8414

0.8407
0.8408
0.8409
0.8410
0.8411
0.8412
0.8413
0.8414
0.8415
0.8416
0.8417
0.8418
0.8419
0.8420
0.8421
0.8422
0.8423
0.8424
0.8425
0.8426
0.8427
0.8427
0.8428
0.8429
0.8430
0.8431
0.8432
0.8433
0.8434
0.8435
0.8436
0.8437
0.8438
0.8439
0.8440
0.8441
0.8442
0.8443
0.8444
0.8445
0.8446
0.8447
0.8448
0.8449

36.72
36.70
36.68
36.66
36.64
36.62
36.60
36.58
36.56
36.54
36.52
36.50
36.48
36.46
36.45
36.43
36.41
36.39
36.37
36.36
36.34
36.32
36.30
36.28
36.27
36.25
36.23
36.21
36.19
36.17
36.15
36.13
36.11
36.09
36.07
36.05
36.03
36.01
35.99
35.97
35.95
35.93
35.91
35.89

7.4846
7.4837
7.4828
7.4819
7.4810
7.4808
7.4799
7.4790
7.4781
7.4772
7.4764
7.4755
7.4747
7.4738
7.4730
7.4721
7.4713
7.4704
7.4696
7.4687
7.4678
7.4670
7.4661
7.4653
7.4644
7.4636
7.4627
7.4619
7.4610
7.4602
7.4593
7.4584
7.4575
7.4566
7.4557
7.4549
7.4541
7.4533
7.4525
7.4517
7.4509
7.4501
7.4493
7.4485

0.8415
0.8416
0.8417
0.8418
0.8419
0.8420
0.8421
0.8422
0.8423
0.8424
0.8425
0.8426
0.8427
0.8428
0.8429
0.8430
0.8431
0.8432
0.8433
0.8434
0.8435
0.8436
0.8437
0.8438
0.8439
0.8440
0.8441
0.8442
0.8443

0.8450
0.8451
0.8452
0.8453
0.8454
0.8455
0.8456
0.8457
0.8458
0.8459
0.8460
0.8461
0.8462
0.8463
0.8464
0.8465
0.8466
0.8467
0.8468
0.8469
0.8470
0.8471
0.8472
0.8473
0.8474
0.8475
0.8476
0.8477
0.8478

35.87
35.85
35.83
35.81
35.79
35.77
35.75
35.73
35.71
35.69
35.67
35.65
35.63
35.61
35.59
35.57
35.55
35.53
35.51
35.49
35.47
35.45
35.43
35.41
35.39
35.38
35.36
35.34
35.32

7.4477
7.4468
7.4459
7.4450
7.4441
7.4432
7.4423
7.4414
7.4405
7.4396
7.4387
7.4378
7.4369
7.4360
7.4351
7.4342
7.4333
7.4324
7.4315
7.4306
7.4297
7.4288
7.4279
7.4270
7.4261
7.4252
7.4243
7.4234
7.4225

0.8444
0.8445
0.8446
0.8447
0.8448
0.8449
0.8450
0.8451
0.8452
0.8453
0.8454
0.8455
0.8456
0.8457
0.8458

0.8479
0.8480
0.8481
0.8482
0.8483
0.8484
0.8485
0.8486
0.8487
0.8488
0.8489
0.8490
0.8491
0.8492
0.8493

35.30
35.28
35.26
35.24
35.22
35.20
35.18
35.16
35.14
35.12
35.10
35.08
35.06
35.04
35.02

7.4216
7.4207
7.4198
7.4189
7.4180
7.4171
7.4162
7.4153
7.4144
7.4135
7.4126
7.4117
7.4109
7.4101
7.4093

0.8459
0.8460
0.8461
0.8462
0.8463
0.8464
0.8465
0.8466
0.8467
0.8468
0.8469
0.8470
0.8471
0.8472
0.8473
0.8474
0.8475
0.8476
0.8477
0.8478
0.8479
0.8480
0.8481
0.8482
0.8483
0.8484
0.8485
0.8486
0.8487
0.8488
0.8489
0.8490
0.8491
0.8492
0.8493
0.8494
0.8495
0.8496
0.8497
0.8498
0.8499
0.8500
0.8501
0.8502

0.8494
0.8495
0.8496
0.8497
0.8498
0.8499
0.8500
0.8501
0.8502
0.8503
0.8504
0.8505
0.8506
0.8507
0.8508
0.8509
0.8510
0.8511
0.8512
0.8513
0.8514
0.8515
0.8516
0.8517
0.8518
0.8519
0.8520
0.8521
0.8522
0.8523
0.8524
0.8525
0.8526
0.8527
0.8528
0.8529
0.8530
0.8531
0.8532
0.8533
0.8534
0.8535
0.8536
0.8537

35.00
34.98
34.96
34.94
34.92
34.90
34.88
34.86
34.84
34.82
34.80
34.79
34.77
34.75
34.73
34.71
34.69
34.67
34.65
34.63
34.61
34.59
34.57
34.55
34.53
34.51
34.49
34.47
34.45
34.43
34.41
34.40
34.38
34.36
34.34
34.32
34.30
34.28
34.26
34.24
34.22
34.20
34.18
34.16

7.4085
7.4077
7.4069
7.4061
7.4053
7.4045
7.4037
7.4028
7.4019
7.4010
7.4001
7.3992
7.3983
7.3974
7.3965
7.3956
7.3947
7.3938
7.3929
7.3920
7.3911
7.3903
7.3894
7.3885
7.3876
7.3867
7.3858
7.3850
7.3842
7.3834
7.3826
7.3818
7.3810
7.3802
7.3794
7.3786
7.3778
7.3769
7.3760
7.3751
7.3742
7.3733
7.3724
7.3715

0.8503
0.8504
0.8505
0.8506
0.8507
0.8508
0.8509
0.8510
0.8511
0.8512
0.8513
0.8514
0.8515
0.8516
0.8517
0.8518
0.8519
0.8520
0.8521
0.8522
0.8523
0.8524
0.8525
0.8526
0.8527
0.8528
0.8529
0.8530
0.8531
0.8532
0.8533
0.8534
0.8535
0.8536
0.8537
0.8538
0.8539
0.8540
0.8541
0.8542
0.8543
0.8544
0.8545
0.8546

0.8538
0.8539
0.8540
0.8541
0.8542
0.8543
0.8544
0.8545
0.8546
0.8547
0.8548
0.8549
0.8550
0.8551
0.8552
0.8553
0.8554
0.8555
0.8556
0.8557
0.8558
0.8559
0.8560
0.8561
0.8562
0.8563
0.8564
0.8565
0.8566
0.8567
0.8568
0.8569
0.8570
0.8571
0.8572
0.8573
0.8574
0.8575
0.8576
0.8577
0.8578
0.8579
0.8580
0.8581

34.14
34.12
34.10
34.08
34.06
34.04
34.02
34.01
33.99
33.97
33.95
33.93
33.91
33.89
33.87
33.85
33.83
33.82
33.80
33.78
33.76
33.74
33.72
33.70
33.68
33.66
33.64
33.62
33.60
33.58
33.56
33.54
33.52
33.50
33.48
33.46
33.44
33.43
33.41
33.39
33.37
33.35
33.33
33.31

7.3706
7.3697
7.3688
7.3679
7.3670
7.3661
7.3652
7.3643
7.3634
7.3625
7.3616
7.3607
7.3598
7.3590
7.3582
7.3574
7.3566
7.3558
7.3550
7.3542
7.3534
7.3526
7.3518
7.3509
7.3500
7.3491
7.3482
7.3473
7.3464
7.3455
7.3446
7.3437
7.3428
7.3419
7.3410
7.3401
7.3392
7.3383
7.3374
7.3365
7.3356
7.3347
7.3338
7.3330

0.8547
0.8548
0.8549
0.8550
0.8551
0.8552
0.8553
0.8554
0.8555
0.8556
0.8557
0.8558
0.8559
0.8560
0.8561
0.8562
0.8563
0.8564
0.8565
0.8566
0.8567
0.8568
0.8569
0.8570
0.8571
0.8572
0.8573
0.8574
0.8575
0.8576
0.8577
0.8578
0.8579
0.8580
0.8581
0.8582
0.8583
0.8584
0.8585
0.8586
0.8587
0.8588
0.8589
0.8590

0.8582
0.8583
0.8584
0.8585
0.8586
0.8587
0.8588
0.8589
0.8590
0.8591
0.8592
0.8593
0.8594
0.8595
0.8596
0.8597
0.8598
0.8599
0.8600
0.8601
0.8602
0.8603
0.8604
0.8605
0.8606
0.8607
0.8608
0.8609
0.8610
0.8611
0.8612
0.8613
0.8614
0.8615
0.8616
0.8617
0.8618
0.8619
0.8620
0.8621
0.8622
0.8623
0.8624
0.8625

33.29
33.27
33.25
33.24
33.22
33.20
33.18
33.16
33.14
33.12
33.10
33.08
33.06
33.05
33.03
33.01
32.99
32.97
32.95
32.93
32.91
32.89
32.87
32.86
32.84
32.82
32.80
32.78
32.76
32.74
32.72
32.70
32.68
32.67
32.65
32.63
32.61
32.59
32.57
32.55
32.53
32.51
32.49
32.48

7.3322
7.3314
7.3306
7.3298
7.3290
7.3282
7.3274
7.3266
7.3258
7.3249
7.3240
7.3231
7.3222
7.3213
7.3204
7.3195
7.3186
7.3177
7.3168
7.3160
7.3152
7.3144
7.3136
7.3128
7.3120
7.3112
7.3105
7.3097
7.3089
7.3080
7.3071
7.3062
7.3053
7.3044
7.3035
7.3026
7.3017
7.3008
7.2999
7.2991
7.2983
7.2975
7.2967
7.2959

0.8591
0.8592
0.8593
0.8594
0.8595
0.8596
0.8597
0.8598
0.8599
0.8600
0.8601
0.8602
0.8603
0.8604
0.8605
0.8606
0.8607
0.8608
0.8609
0.8610
0.8611
0.8612
0.8613
0.8614
0.8615
0.8616
0.8617
0.8618
0.8619
0.8620
0.8621
0.8622
0.8623
0.8624
0.8625
0.8626
0.8627
0.8628
0.8629
0.8630
0.8631
0.8632
0.8633
0.8634

0.8626
0.8627
0.8628
0.8629
0.8630
0.8631
0.8632
0.8633
0.8634
0.8635
0.8636
0.8637
0.8638
0.8639
0.8640
0.8641
0.8642
0.8643
0.8644
0.8645
0.8646
0.8647
0.8648
0.8649
0.8650
0.8651
0.8652
0.8653
0.8654
0.8655
0.8656
0.8657
0.8658
0.8659
0.8660
0.8661
0.8662
0.8663
0.8664
0.8665
0.8666
0.8666
0.8667
0.8668

32.46
32.44
32.42
32.40
32.38
32.36
32.34
32.32
32.30
32.29
32.27
32.25
32.23
32.21
32.19
32.17
32.15
32.13
32.11
32.10
32.08
32.06
32.04
32.02
32.00
31.98
31.96
31.94
31.92
31.91
31.89
31.87
31.85
31.83
31.81
31.80
31.78
31.76
31.74
31.72
31.71
31.69
31.67
31.65

7.2951
7.2943
7.2935
7.2927
7.2919
7.2910
7.2901
7.2892
7.2883
7.2874
7.2865
7.2856
7.2847
7.2838
7.2829
7.2821
7.2813
7.2805
7.2797
7.2789
7.2781
7.2773
7.2765
7.2757
7.2749
7.2740
7.2731
7.2722
7.2713
7.2704
7.2695
7.2687
7.2678
7.2670
7.2661
7.2653
7.2646
7.2638
7.2631
7.2623
7.2616
7.2608
7.2600
7.2593

0.8635
0.8636
0.8637
0.8638
0.8639
0.8640
0.8641
0.8642
0.8643
0.8644
0.8645
0.8646
0.8647
0.8648
0.8649
0.8650
0.8651
0.8652
0.8653
0.8654
0.8655
0.8656
0.8657
0.8658
0.8659
0.8660
0.8661
0.8662
0.8663
0.8664
0.8665
0.8666
0.8667
0.8668
0.8669
0.8670
0.8671
0.8672
0.8673
0.8674
0.8675
0.8676
0.8677
0.8678

0.8669
0.8670
0.8671
0.8672
0.8673
0.8674
0.8675
0.8676
0.8677
0.8678
0.8679
0.8680
0.8681
0.8682
0.8683
0.8684
0.8685
0.8686
0.8687
0.8688
0.8689
0.8690
0.8691
0.8692
0.8693
0.8694
0.8695
0.8696
0.8697
0.8698
0.8699
0.8700
0.8701
0.8702
0.8703
0.8704
0.8705
0.8706
0.8707
0.8708
0.8709
0.8710
0.8711
0.8712

31.63
31.62
31.60
31.58
31.56
31.54
31.53
31.51
31.49
31.47
31.45
31.43
31.41
31.39
31.37
31.35
31.34
31.32
31.30
31.28
31.26
31.24
31.22
31.20
31.19
31.17
31.15
31.13
31.11
31.10
31.08
31.06
31.04
31.02
31.00
30.98
30.97
30.95
30.93
30.91
30.89
30.87
30.85
30.83

7.2585
7.2578
7.2570
7.2562
7.2555
7.2547
7.2539
7.2531
7.2523
7.2515
7.2507
7.2499
7.2490
7.2481
7.2472
7.2463
7.2454
7.2445
7.2436
7.2427
7.2418
7.2409
7.2401
7.2393
7.2385
7.2377
7.2369
7.2361
7.2353
7.2345
7.2337
7.2329
7.2321
7.2313
7.2306
7.2298
7.2290
7.2282
7.2274
7.2266
7.2258
7.2250
7.2241
7.2232

0.8679
0.8680
0.8681
0.8682
0.8683
0.8684
0.8685
0.8686
0.8687
0.8688
0.8689
0.8690
0.8691
0.8692
0.8693
0.8694
0.8695
0.8696
0.8697
0.8698
0.8699
0.8700
0.8701
0.8702
0.8703
0.8704
0.8705
0.8706
0.8707
0.8708
0.8709
0.8710
0.8711
0.8712
0.8713
0.8714
0.8715
0.8716
0.8717
0.8718
0.8719
0.8720
0.8721
0.8722

0.8713
0.8714
0.8715
0.8716
0.8717
0.8718
0.8719
0.8720
0.8721
0.8722
0.8723
0.8724
0.8725
0.8726
0.8727
0.8728
0.8729
0.8730
0.8731
0.8732
0.8733
0.8734
0.8735
0.8736
0.8737
0.8738
0.8739
0.8740
0.8741
0.8742
0.8743
0.8744
0.8745
0.8746
0.8747
0.8748
0.8749
0.8750
0.8751
0.8752
0.8753
0.8754
0.8755
0.8756

30.81
30.79
30.78
30.76
30.74
30.72
30.70
30.68
30.66
30.64
30.63
30.61
30.59
30.57
30.55
30.54
30.52
30.50
30.48
30.46
30.44
30.42
30.41
30.39
30.37
30.35
30.33
30.31
30.29
30.27
30.26
30.24
30.22
30.20
30.18
30.17
30.15
30.13
30.11
30.09
30.07
30.05
30.04
30.02

7.2223
7.2214
7.2205
7.2196
7.2187
7.2178
7.2169
7.2160
7.2152
7.2144
7.2136
7.2128
7.2120
7.2112
7.2104
7.2096
7.2088
7.2080
7.2072
7.2064
7.2056
7.2048
7.2040
7.2032
7.2024
7.2016
7.2008
7.2000
7.1991
7.1982
7.1973
7.1964
7.1955
7.1946
7.1937
7.1928
7.1919
7.1910
7.1902
7.1894
7.1886
7.1878
7.1870
7.1862

0.8723
0.8724
0.8725
0.8726
0.8727
0.8728
0.8729
0.8730
0.8731
0.8732
0.8733
0.8734
0.8735
0.8736
0.8737
0.8738
0.8739
0.8740
0.8741
0.8742
0.8743
0.8744
0.8745
0.8746
0.8747
0.8748

0.8757
0.8758
0.8759
0.8760
0.8761
0.8762
0.8763
0.8764
0.8765
0.8766
0.8767
0.8768
0.8769
0.8770
0.8771
0.8772
0.8773
0.8774
0.8775
0.8776
0.8777
0.8778
0.8779
0.8780
0.8781
0.8782

30.00
29.98
29.96
29.94
29.92
29.90
29.89
29.87
29.85
29.83
29.81
29.80
29.78
29.76
29.74
29.72
29.70
29.68
29.67
29.65
29.63
29.61
29.59
29.57
29.55
29.53

7.1854
7.1846
7.1838
7.1830
7.1822
7.1814
7.1806
7.1798
7.1790
7.1782
7.1774
7.1766
7.1758
7.1750
7.1742
7.1734
7.1726
7.1718
7.1710
7.1702
7.1694
7.1686
7.1678
7.1670
7.1662
7.1654

0.8749
0.8750
0.8751
0.8752
0.8753
0.8754
0.8755
0.8756
0.8757
0.8758
0.8759
0.8760
0.8761
0.8762
0.8763
0.8764
0.8765
0.8766

0.8783
0.8784
0.8785
0.8786
0.8787
0.8788
0.8789
0.8790
0.8791
0.8792
0.8793
0.8794
0.8795
0.8796
0.8797
0.8798
0.8799
0.8800

29.52
29.50
29.48
29.46
29.44
29.43
29.41
29.39
29.37
29.35
29.34
29.32
29.30
29.28
29.26
29.25
29.23
29.21

7.1646
7.1638
7.1630
7.1622
7.1614
7.1606
7.1598
7.1590
7.1581
7.1572
7.1563
7.1554
7.1545
7.1536
7.1527
7.1518
7.1510
7.1501

0.8767
0.8768
0.8769
0.8770
0.8771
0.8772
0.8773
0.8774
0.8775
0.8776
0.8777
0.8778
0.8779
0.8780
0.8781
0.8782
0.8783
0.8784
0.8785
0.8786
0.8787
0.8788
0.8789
0.8790
0.8791
0.8792
0.8793
0.8794
0.8795
0.8796
0.8797
0.8798
0.8799
0.8800
0.8801
0.8802
0.8803
0.8804
0.8805
0.8806
0.8807
0.8808
0.8809
0.8810

0.8801
0.8802
0.8803
0.8804
0.8805
0.8806
0.8807
0.8808
0.8809
0.8810
0.8811
0.8812
0.8813
0.8814
0.8815
0.8816
0.8817
0.8818
0.8819
0.8820
0.8821
0.8822
0.8823
0.8824
0.8825
0.8826
0.8827
0.8828
0.8829
0.8830
0.8831
0.8832
0.8833
0.8834
0.8835
0.8836
0.8837
0.8838
0.8839
0.8840
0.8841
0.8842
0.8843
0.8844

29.19
29.17
29.15
29.13
29.12
29.10
29.08
29.06
29.04
29.02
29.00
28.98
28.97
28.95
28.93
28.91
28.89
28.88
28.86
28.84
28.82
28.80
28.79
28.77
28.75
28.73
28.71
28.70
28.68
28.66
28.64
28.62
28.61
28.59
28.57
28.55
28.53
28.52
28.50
28.48
28.46
28.44
28.43
28.41

7.1493
7.1485
7.1477
7.1469
7.1461
7.1453
7.1445
7.1437
7.1429
7.1421
7.1413
7.1405
7.1397
7.1389
7.1381
7.1373
7.1365
7.1357
7.1349
7.1341
7.1333
7.1325
7.1317
7.1309
7.1301
7.1293
7.1285
7.1277
7.1269
7.1261
7.1253
7.1245
7.1237
7.1229
7.1221
7.1213
7.1205
7.1197
7.1189
7.1181
7.1173
7.1165
7.1157
7.1149

0.8811
0.8812
0.8813
0.8814
0.8815
0.8816
0.8817
0.8818
0.8819
0.8820
0.8821
0.8822
0.8823
0.8824
0.8825
0.8826
0.8827
0.8828
0.8829
0.8830
0.8831
0.8832
0.8833
0.8834
0.8835
0.8836
0.8837
0.8838
0.8839
0.8840
0.8841
0.8842
0.8843
0.8844
0.8845
0.8846
0.8847
0.8848
0.8849
0.8850
0.8851
0.8852
0.8853
0.8854

0.8845
0.8846
0.8847
0.8848
0.8849
0.8850
0.8851
0.8852
0.8853
0.8854
0.8855
0.8856
0.8857
0.8858
0.8859
0.8860
0.8861
0.8862
0.8863
0.8864
0.8865
0.8866
0.8867
0.8868
0.8869
0.8870
0.8871
0.8872
0.8873
0.8874
0.8875
0.8876
0.8877
0.8878
0.8879
0.8880
0.8881
0.8882
0.8883
0.8884
0.8885
0.8886
0.8887
0.8888

28.39
28.37
28.35
28.34
28.32
28.30
28.28
28.26
28.25
28.23
28.21
28.19
28.17
28.16
28.14
28.12
28.10
28.08
28.07
28.05
28.03
28.01
27.99
27.98
27.96
27.94
27.92
27.90
27.89
27.87
27.85
27.83
27.81
27.80
27.78
27.76
27.74
27.72
27.71
27.69
27.67
27.65
27.63
27.62

7.1141
7.1133
7.1125
7.1117
7.1109
7.1101
7.1093
7.1085
7.1077
7.1069
7.1061
7.1053
7.1045
7.1037
7.1029
7.1021
7.1013
7.1005
7.0997
7.0989
7.0981
7.0973
7.0965
7.0957
7.0949
7.0941
7.0933
7.0925
7.0917
7.0909
7.0901
7.0893
7.0885
7.0877
7.0869
7.0861
7.0853
7.0845
7.0837
7.0829
7.0821
7.0813
7.0805
7.0797

0.8855
0.8856
0.8857
0.8858
0.8859
0.8860
0.8861
0.8862
0.8863
0.8864
0.8865
0.8866
0.8867
0.8868
0.8869
0.8870
0.8871
0.8872
0.8873
0.8874
0.8875
0.8876
0.8877
0.8878
0.8879
0.8880
0.8881
0.8882
0.8883
0.8884
0.8885
0.8886
0.8887
0.8888
0.8889
0.8890
0.8891
0.8892
0.8893
0.8894
0.8895
0.8896
0.8897
0.8898

0.8889
0.8890
0.8891
0.8892
0.8893
0.8894
0.8895
0.8896
0.8897
0.8898
0.8899
0.8900
0.8901
0.8902
0.8903
0.8904
0.8905
0.8905
0.8906
0.8907
0.8908
0.8909
0.8910
0.8911
0.8912
0.8913
0.8914
0.8915
0.8916
0.8917
0.8918
0.8919
0.8920
0.8921
0.8922
0.8923
0.8924
0.8925
0.8926
0.8927
0.8928
0.8929
0.8930
0.8931

27.60
27.58
27.56
27.54
27.53
27.51
27.49
27.47
27.46
27.44
27.42
27.41
27.39
27.37
27.35
27.34
27.32
27.30
27.29
27.27
27.25
27.23
27.22
27.20
27.18
27.17
27.15
27.13
27.11
27.09
27.08
27.06
27.04
27.02
27.01
26.99
26.97
26.96
26.94
26.92
26.90
26.89
26.87
26.85

7.0789
7.0781
7.0773
7.0765
7.0757
7.0749
7.0742
7.0734
7.0727
7.0719
7.0712
7.0704
7.0696
7.0689
7.0681
7.0674
7.0666
7.0658
7.0651
7.0643
7.0636
7.0628
7.0620
7.0613
7.0605
7.0598
7.0590
7.0582
7.0574
7.0565
7.0558
7.0550
7.0542
7.0534
7.0526
7.0518
7.0510
7.0502
7.0494
7.0486
7.0478
7.0470
7.0462
7.0454

0.8899
0.8900
0.8901
0.8902
0.8903
0.8904
0.8905
0.8906
0.8907
0.8908
0.8909
0.8910
0.8911
0.8912
0.8913
0.8914
0.8915
0.8916
0.8917
0.8918
0.8919
0.8920
0.8921
0.8922
0.8923
0.8924
0.8925
0.8926
0.8927
0.8928
0.8929
0.8930
0.8931
0.8932
0.8933
0.8934
0.8935
0.8936
0.8937
0.8938
0.8939
0.8940
0.8941
0.8942

0.8932
0.8933
0.8934
0.8935
0.8936
0.8937
0.8938
0.8939
0.8940
0.8941
0.8942
0.8943
0.8944
0.8945
0.8946
0.8947
0.8948
0.8949
0.8950
0.8951
0.8952
0.8953
0.8954
0.8955
0.8956
0.8957
0.8958
0.8959
0.8960
0.8961
0.8962
0.8963
0.8964
0.8965
0.8966
0.8967
0.8968
0.8969
0.8970
0.8971
0.8972
0.8973
0.8974
0.8975

26.83
26.82
26.80
26.78
26.76
26.74
26.73
26.71
26.69
26.67
26.65
26.64
26.62
26.60
26.58
26.56
26.55
26.53
26.51
26.49
26.48
26.46
26.44
26.43
26.41
26.39
26.37
26.36
26.34
26.32
26.30
26.29
26.27
26.25
26.23
26.21
26.20
26.18
26.16
26.14
26.12
26.11
26.09
26.07

7.0446
7.0438
7.0430
7.0422
7.0414
7.0406
7.0398
7.0390
7.0382
7.0374
7.0366
7.0358
7.0350
7.0342
7.0334
7.0326
7.0318
7.0310
7.0302
7.0294
7.0286
7.0278
7.0270
7.0262
7.0254
7.0246
7.0238
7.0230
7.0222
7.0215
7.0208
7.0201
7.0194
7.0187
7.0180
7.0173
7.0166
7.0159
7.0152
7.0144
7.0136
7.0128
7.0120
7.0112

0.8943
0.8944
0.8945
0.8946
0.8947
0.8948
0.8949
0.8950
0.8951
0.8952
0.8953
0.8954
0.8955
0.8956
0.8957
0.8958
0.8959
0.8960
0.8961
0.8962
0.8963
0.8964
0.8965
0.8966
0.8967
0.8968
0.8969
0.8970
0.8971
0.8972
0.8973
0.8974
0.8975
0.8976
0.8977
0.8978
0.8979
0.8980
0.8981
0.8982
0.8983
0.8984
0.8985
0.8986

0.8976
0.8977
0.8978
0.8979
0.8980
0.8981
0.8982
0.8983
0.8984
0.8985
0.8986
0.8987
0.8988
0.8989
0.8990
0.8991
0.8992
0.8993
0.8994
0.8995
0.8996
0.8997
0.8998
0.8999
0.9000
0.9001
0.9002
0.9003
0.9004
0.9005
0.9006
0.9007
0.9008
0.9009
0.9010
0.9011
0.9012
0.9013
0.9014
0.9015
0.9016
0.9017
0.9018
0.9019

26.05
26.03
26.02
26.00
25.98
25.96
25.95
25.93
25.91
25.89
25.88
25.86
25.84
25.83
25.81
25.79
25.77
25.76
25.74
25.72
25.70
25.68
25.67
25.65
25.63
25.61
25.60
25.58
25.56
25.54
25.53
25.51
25.49
25.48
25.46
25.44
25.43
25.41
25.39
25.37
25.36
25.34
25.32
25.31

7.0104
7.0096
7.0088
7.0080
7.0072
7.0064
7.0056
7.0048
7.0040
7.0032
7.0024
7.0016
7.0008
7.0000
6.9992
6.9984
6.9976
6.9968
6.9960
6.9952
6.9944
6.9936
6.9928
6.9920
6.9913
6.9905
6.9897
6.9889
6.9881
6.9873
6.9865
6.9857
6.9849
6.9841
6.9833
6.9826
6.9819
6.9812
6.9805
6.9798
6.9791
6.9784
6.9777
6.9770

0.8987
0.8988
0.8989
0.8990
0.8991
0.8992
0.8993
0.8994
0.8995
0.8996
0.8997
0.8998
0.8999
0.9000
0.9001
0.9002
0.9003
0.9004
0.9005
0.9006
0.9007
0.9008
0.9009
0.9010
0.9011
0.9012
0.9013
0.9014
0.9015
0.9016
0.9017
0.9018
0.9019
0.9020
0.9021
0.9022
0.9023
0.9024
0.9025
0.9026
0.9027
0.9028
0.9029
0.9030

0.9020
0.9021
0.9022
0.9023
0.9024
0.9025
0.9026
0.9027
0.9028
0.9029
0.9030
0.9031
0.9032
0.9033
0.9034
0.9035
0.9036
0.9037
0.9038
0.9039
0.9040
0.9041
0.9042
0.9043
0.9044
0.9045
0.9046
0.9047
0.9048
0.9049
0.9050
0.9051
0.9052
0.9053
0.9054
0.9055
0.9056
0.9057
0.9058
0.9059
0.9060
0.9061
0.9062
0.9063

25.29
25.27
25.25
25.24
25.22
25.20
25.18
25.16
25.15
25.13
25.11
25.09
25.08
25.06
25.04
25.02
25.01
24.99
24.97
24.96
24.94
24.92
24.91
24.89
24.87
24.85
24.84
24.82
24.80
24.79
24.77
24.75
24.73
24.72
24.70
24.68
24.66
24.64
24.63
24.61
24.59
24.57
24.56
24.54

6.9763
6.9755
6.9747
6.9739
6.9731
6.9723
6.9715
6.9707
6.9699
6.9691
6.9683
6.9675
6.9667
6.9659
6.9651
6.9650
6.9642
6.9634
6.9626
6.9618
6.9610
6.9602
6.9594
6.9586
6.9578
6.9570
6.9562
6.9554
6.9546
6.9538
6.9530
6.9523
6.9516
6.9509
6.9502
6.9495
6.9488
6.9481
6.9474
6.9467
6.9460
6.9452
6.9444
6.9436

0.9031
0.9032
0.9033
0.9034
0.9035
0.9036
0.9037
0.9038
0.9039
0.9040
0.9041
0.9042
0.9043
0.9044
0.9045
0.9046
0.9047
0.9048
0.9049
0.9050
0.9051
0.9052
0.9053

0.9064
0.9065
0.9066
0.9067
0.9068
0.9069
0.9070
0.9071
0.9072
0.9073
0.9074
0.9075
0.9076
0.9077
0.9078
0.9079
0.9080
0.9081
0.9082
0.9083
0.9084
0.9085
0.9086

24.52
24.50
24.48
24.47
24.45
24.44
24.42
24.40
24.39
24.37
24.35
24.33
24.32
24.30
24.28
24.27
24.25
24.23
24.22
24.20
24.18
24.16
24.15

6.9428
6.9420
6.9412
6.9404
6.9396
6.9388
6.9380
6.9372
6.9364
6.9356
6.9348
6.9340
6.9332
6.9324
6.9316
6.9308
6.9300
6.9293
6.9286
6.9278
6.9272
6.9265
6.9258

SGS WEDGE FORMULA

V=
Ic =
f=
A=
Ic =
L=
Y=
T=
L.B.P.=
A=
I=
V=
W=

( W * A ) / ( 2 * f )
(L-Y)*f
T / L.B.P.
I+(Y*f)
Critical Innage (if I<Ic Wedge formula applicable)
Lengh of Tank
Distance from gauge point to Aft Bulkhead
Trim
Length Between Perpendiculars
Height of wedge at bulkhead
Innage (Dip)
Volume
Width of Tank

WEDGE F

A=
D=
S=
U=
W=
DF =
L=
F=

Note : A = { [ (U-DF) x F ] + S }
Note : If (A) > (LxF) then do not app

WEDGE FORMULA

WEDGE FOR

V= (( T * Y / L.B.P. + I ) * W * L ) / ( 2 * T )
V=
T=
Y=
L.B.P.=
I=
W=

Volume
Trim
Distance from gauge point to Aft Bulkhead
Length Between Perpendiculars
Innage (Dip)
Width of Tank

V=
D=
H=
T=
Y=
Lpp =
B=

WEDGE FORMULA
V = ( { [ (U-DF) x F ] + S } x W ) / 2
Adjusted innage at aft bulkhead of tank
Mean total gauge height
Sounding (innage)
Distance from ullage point to aft bulkhead
Width of tank
Mean gauge height x trim factor
Length of tank
Trim Factor ( Trim / LBP ) (4 dec)
Note : A = { [ (U-DF) x F ] + S } (4 dec places)
Note : If (A) > (LxF) then do not apply Wedge Formula

WEDGE FORMULA (KiL)

V = ( D - (H*T)/Lpp + (Y*T)/Lpp ) * Lpp * B
Volume of liquid.
Sounding of liquid from bottom at ullage hatch (not ullage)
Height of cargo tank. From bottom plate to deck plate.
Vessel's Trim
Distance from measuring point to tank aft bulkhead.
Length between perpendiculars.
Width of cargo tank.

IV.1.3. Wedge formula

This SAYBOLT wedge-formula is only to be used with liquid, when the liquid doesn't touch all four bulkheads.
By means of soundings the innage of the liquid is determined. On this innage a correction, (different from the trim correctio
applied. This correction is calculated using the wedge formula.
Abbreviations used:
Ls =length between perpendiculars
Ts = trim of the vessel
Y = distance from the ullage point to the aft bulkhead
Da = dip corrected to aft bulkhead
D = observed dip
Dt = total height of the tank

Ts
DF = Dt x ----Ls
First the measured dip has to be corrected as it if was measured at the aft bulkhead:

(Y-Df) x Ts
Da= D + ---------------Ls

(Y-DF) x Ts
When --------------------- is less then zero, then let
Da=D.
Ls
Next the length of the wedge is calculated by:

Ls
Lw = Da x ----Ts the length of that particular cargo tank, the wedge formula is applicable.
If Lw is less then
If the wedge formula is applicable, we now enter the ship's calibration tables for that particular tank, with the following d

The wedge volume can now be calculated with the following formula:

V x Da x Ls
VW = ------------------in which: V =Volume found in ships calibration tables at even keel at dip Da/2.
Lt x Ts

Example:
Measured dip D = 14 cm = 0.14 meter
Y = 2.00 meter
( distance from the ullage point to the aft bulkhead )
Dt = 27.49 meter ( total height of the tank )
Lt = 40.00 meter ( length of the tank )
Ls = 329.20 meter (length between perpendiculars )
Ts = 2.50 meter (trim of the vessel)
Corrected dip:

= 0.14 + ((2.00- 0.2088) x 0.0076)

((Y - DF) x Ts)
(27.49x2.50)
2.50
= 0.14 + (1.7912 x 0.0076)
Da = D + -------------------------- = 0.14 + (( 2.00 - ----------------- ) x ------------ )
= 0.1536 m
Ls
329.20
329.20

Check is Lw less than Lt:

We now enter the ship's calibration tables at even keel at a dip of 0.1536 / 2 = 0.08 m. In a imaginairy calibration table th
read, being 16,032
Ltr.
Ls
0.1536 x 329.20
The wedge volume can now be calculated as:
Lw = Da x ------ = -------------------------- = 20.23 m
Ts
2.50

V x Da x Ls
16,032 x 0.1536 x 329.20
Vw = --------------------- = ------------------------------------------ = 8,107 ltr.
Lt x Ts
40.00 x 2.50

oesn't touch all four bulkheads.

a correction, (different from the trim correctio n from the calibration tables) has to be

r that particular tank, with the following d ip value:

2 = 0.08 m. In a imaginairy calibration table th e volume for 0.08 m even-keel is

WEDGE Calculations (ROB / OBQ)

L B D2
2T

D D1 cosec Y H tan tan

D 1 -
Y -
a -
H - .

tan

T
L

WEDGE Calculations (ROB / OBQ)

L B D2
2T

V -
L -
B -

D -
T -
, :

, :
D D1 cosec Y H tan tan

D 1 -
Y -
a -
H - .

:
,
:
tan

T
L

WEDGE Calculations (ROB / OBQ)

FWD
AFT
Trim
L.B.P.

9.00
12.00
3.00
320.00

V= (WxAxA)/(2xf)
Ic =
Aa =
A =
f =

(L-Y)xf
I + ( Y x f ) abridged or
I+( Y x f ) - ( RH x f x f ) unabridged
0.00938 (Trim / LBP)

I Ic A L RH W Y -

Innage ( dipping)
Critical innage ( Wedge formula is applicable if I < Ic only )
Height of wedge at bulkhead
Length of tank
Reference height of tank (table)
Width of tank (bottom)
Distance between gauge point and aft bulkhead

Tank
No.
1C
2C
3C
4C
5C
1P
1S
2P
2S
3P
3S
4P
4S
5P
5S
Slop P
Slop S

(m)

(Cub.m)

0.37
0.42
0.42
0.42
0.39
0.42
0.42
0.42
0.42
0.42
0.42
0.42
0.42
0.25
0.25
0.03
0.03

12.24
6.62
6.62
6.62
7.62
6.32
6.32
6.92
6.92
6.42
6.42
6.12
6.12
8.74
8.74
11.84
11.84

29.360
29.360
29.360
29.360
29.370
29.180
29.180
29.140
29.140
29.080
29.080
29.090
29.090
29.090
29.090
29.300
29.300

51.2
51.2
51.2
51.2
49.5
51.2
51.2
51.2
51.2
51.2
51.2
51.2
51.2
35.84
35.84
15.36
15.36

21.82
21.82
21.82
21.82
21.82
9.98
9.98
9.98
9.98
9.98
9.98
9.98
9.98

0.12
0.07
0.07
0.07
0.08
0.07
0.07
0.07
0.07
0.07
0.07
0.06
0.06
0.09
0.09

17.3692
5.6182
5.6182
5.6182
7.2364
2.3670
2.3670
2.7834
2.7834
2.4346
2.4346
2.2363
2.2363
0.0000
0.0000

TOTAL

61.1027

(m)

0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01

WEDGE Calculations (ROB / OBQ)

FWD
AFT
Trim
L.B.P.
Q
f

9.00
12.00
3.00
320.00
0.009375
0.993

V = (D x LBP x W) 2T
D = d + Factor. = d + Q(Y - RQ).
Factor = Q(Y - RQ).
Wedge only exists if L > (D Q)

Tank

Wedge

No.
1C
2C
3C
4C
5C
1W
2W
3W
4W
5W
Slop's

(m)

(Y or N/A)
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y

(Cub.m)

(m)

12.24
6.62
6.62
6.62
7.62
6.32
6.92
6.42
6.12
8.74
11.84

21.82
21.82
21.82
21.82
21.82
9.98
9.98
9.98
9.98
-

51.20
51.20
51.20
51.20
49.50
51.20
51.20
51.20
51.20
35.84
15.36

29.36
29.36
29.36
29.36
29.37
29.18
29.14
29.08
29.09
29.09
29.30

LBP = Length between perpendiculars (in metres).

d = Observed dip (in metres).
D = Dip at the after bulkhead (in metres).
T = Trim (in metres).
Q = Trim factor, (Trim LBP) (in metres).
f = factor supplied by shipyard

0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01

0.12
0.07
0.07
0.07
0.08
0.07
0.07
0.07
0.06
0.08
0.11

17.2
5.6
5.6
5.6
7.2
2.4
2.8
2.4
2.2
-

29.541
29.544
29.543
29.545
29.553
29.367
29.323
29.262
29.298
29.373
29.485

29.860
29.854
29.858
29.878
29.868
29.662
29.643
29.580
29.591
29.680
29.783

A = Height from vapour control valve to tank bottom - zero sounding.

B = Height from zero ullage point to tank bottom - zero sounding.
Y = Distance of after bulkhead from dipping point.
W = Width of tank at zero sounding datum - tank bottom.
L = Length of tank.
R = Reference height, (height of swinging point).

NOTES for VLCC "CHELSEA"

The tank bottoms of all of the centre tanks are box formed and will give an exact wedge. It should be noted however that 1 C is only box formed over the last 36m
of the compartment.
The tank bottoms of 2W, 3W, and 4W are box formed, but the outer bulkheads are inclined, (into the ballast tanks), and therefore the wedge will not be strictly
accurate.
1 W, 5W, and the slop tanks are not square formed and data on the following pages have been taken directly from the calibration tables.
Length and breadth data has been derived from drawing "Midships Section DA200H001" (Box SA 1 /2), which gives a frame spacing of 5.12m between frames
51-111 and 3.42m for frames 50-51 for 5C.
Reference heights and swinging points are taken from data in the Vapour Control Valve calibration tables.
Data tabulated on the following pages shows calculated wedge volumes.
Note that 1 W, 5W, and the Slop tanks are not wedged, and data has been taken directly from the calibration tables.
All wedged volumes have been adjusted by a factor of 0.993 to allow for permeability. This factor which was supplied by the shipyard has been applied to
data in the Trim and Stability Book and to all volumes in the Calibration tables.

ast 36m

{[(U-D*F)*F]+S}^2xW
Wedge Formula = ------------------------------------------------2F

320.00
15.00
20.00
Trim :
5.00
Trim Factor : 0.015625
LBP :
Draft FWD :
Draft Aft :

Mtrs
Mtrs
Mtrs
Mtrs

CARGO TANKS DATA

Tank
No.
1C
2C
3C
4C
5C
1P
1S
2P
2S
3P
3S
4P
4S
5P
5S
SLP
SLS

U
Mtrs

12.24
6.62
6.62
6.62
7.62
6.32
6.32
6.92
6.92
6.42
6.42
6.12
6.12

D
Mtrs

29.360
29.360
29.360
29.360
29.370
29.180
29.180
29.140
29.140
29.080
29.080
29.090
29.090

D
S
U
W
L
LBP
F
A
Note

Gauge height
Sounding (innage)
Distance from sounding point to aft bulkhead
Width of tank
Length of tank
Length between perpendiculars
Trim factor ( Trim / LBP)
Adjusted innage at aft bulkhead of tank [ ( U - D * F ) * F ] + S

: If (A) > (L*F) then do not apply Wedge Formula

OBQ/ROB OIL

Mtrs

21.820
51.20
21.820
51.20
21.820
51.20
21.820
51.20
21.820
49.50
9.980
51.20
9.980
51.20
9.980
51.20
9.980
51.20
9.980
51.20
9.980
51.20
9.980
51.20
9.980
51.20
No Wedhge Applied
No Wedhge Applied
No Wedhge Applied
No Wedhge Applied

0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01

A
(U-D*F)*F+S

0.1940820
0.1062695
0.1062695
0.1062695
0.1218921
0.1016260
0.1016260
0.1110107
0.1110107
0.1032129
0.1032129
0.0985229
0.0985229
0.0000000
0.0000000
0.0000000
0.0000000

L*F

0.8000000
0.8000000
0.8000000
0.8000000
0.7734375
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.0000000
0.0000000
0.0000000
0.0000000

OBQ/ROB WATER
Wedge
Y/N

Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y

Volume

Cub.m.

Mtrs

26.30
7.89
7.89
7.89
10.37
3.30
3.30
3.94
3.94
3.40
3.40
3.10
3.10
0
0
0
0

0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01

A
(U-D*F)*F+S

0.1940820
0.1062695
0.1062695
0.1062695
0.1218921
0.1016260
0.1016260
0.1110107
0.1110107
0.1032129
0.1032129
0.0985229
0.0985229
0.0000000
0.0000000
0.0000000
0.0000000

L*F

0.8000000
0.8000000
0.8000000
0.8000000
0.7734375
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.0000000
0.0000000
0.0000000
0.0000000

WATER

FREE WATER IN CARGO

Wedge
Y/N

Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y

Volume

Cub.m.

Mtrs

26.30
7.89
7.89
7.89
10.37
3.30
3.30
3.94
3.94
3.40
3.40
3.10
3.10
0.00
0.00
0.00
0.00

0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01
0.01

A
(U-D*F)*F+S

0.1940820
0.1062695
0.1062695
0.1062695
0.1218921
0.1016260
0.1016260
0.1110107
0.1110107
0.1032129
0.1032129
0.0985229
0.0985229
0.0000000
0.0000000
0.0000000
0.0000000

L*F

0.8000000
0.8000000
0.8000000
0.8000000
0.7734375
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.8000000
0.0000000
0.0000000
0.0000000
0.0000000

Wedge
Y/N

Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y

Volume
Cub.m.

26.30
7.89
7.89
7.89
10.37
3.30
3.30
3.94
3.94
3.40
3.40
3.10
3.10
0.00
0.00
0.00
0.00

Tab. 56

ASTM 6 A - Tafel or Routine,

A, B of D
Tafel of Routine

0.99895

0.9758

API 60F

31.00

TempF

100.00

VCF

6.292

Tab.52

0.9819

API

869.91

alpha A

0.0004507

VCF

0.9819

alpha 1

0.0005346

alpha 2

0.0000993

alpha 3

0.0004365

alpha 4

0.0004478

alpha B

0.0004478

VCF

0.9820

alpha D

0.0004009

VCF

0.9839

rounding format
100.00 temp
31.00 API
31.00 API
100.00 temp

ASTM 54 A
A, B of D
A
Tafel of Routine
R
Dens
0.8330
Temp
35.00
VCF
D
T
alfa54A
VCF 54A
alfa541
alfa542

1.00105

0.9822
833
20
0.0008848
0.9822
0.0010260
0.0004996

Bbls to m
Tab.# 4

alfa543
alfa544
alfa54B
VCF 54B
alpha
VCF

0.0008568
0.0008531
0.0008568
0.9828
0.0007537
0.9849

rounding format
35.0 temp fr tab
0.8330 density fr tab
833.0
0.8340
140.0
35.0

MtBbl(API)

MtBbl = 1.01605 * (22.12362536 / (API + 131.502609) - 0.0001927941766)

LtBbl(API)

LtBbl = 0.98421 * (1.01605 * (22.12362536 / (API + 131.502609) - 0.0001927941766))

APISG(SG)

APISG = (141.5 / SG) - 131.5

SGAPI(API)

SGAPI = 141.5 / (API + 131.5)

Table 11

TAB11 = (589.943 / (API + 131.5) - 0.0050789) * 0.0375

0.13679
#NAME?
Table 13
30
0.13899
#NAME?
Table 8
30
7.296
#NAME?
#NAME?

TAB13 = (535.1911 / (API + 131.5) - 0.0046189) * 0.042

Table 56 from Air to Vac

Tab56AV(Wdens As Single)
Tab56AV = (myInt((Wdens / (1.0001506 * Wdens - 0.0012202)) * 10000) + 0.5) / 10000
1.07
1.00095
Table 56 from Vac to Air
Tab56VA(Wdens As Single)
Tab56VA = ((myInt((1.0001506 - (0.0012202 / Wdens)) * 10000) + 0.5)) / 10000

CONVERTS DENCITY AT 15C IN VACUUM TO CORRESPONDING DENCITY AT 15C IN AIR

DENC_AIR = ((DENC_VAC) * 1.0001506) - 0.0012202

0.9653
0.9642

Table 11
t (1,2 of 3)
API 60 (K)

0.15892
0.15892

A
F
A1
W
A2
D1
B1
X
E_1
E_2
E1
D1!
D2
B2
X
E_1
E_2
E2
D2!
C
A1
W
A2
B1
E1
D1
B2
E2
D2
C_3

1
39.21000
0.12940
1
2,240.00
39.20
0.01
39.3
0.82893966
0.12940984
0.00000000
0.12940944
0.12940930
0.12940944
0.12941000
0.82845433
0.12933396
0.00000000
0.129333464
0.12933330
0.12933346
0.12933000
0.12940000
39.21
0
0
6.13010601
6.130105606
6.13011000
(0.00019093)
(0.00019133)
(0.00018000)
6.13011000

Table 13
2
39.00000
0.13164
1
2,204.62
39
0
0
0.82991202
0.13164109
0.00000000
0.13164069
0.13164060
0.13164060
0.13164000
1.07604563
0.17074047
0.00000000
0.170739969
0.17073980
0.17073980
0.17074000
0.13164000
39
0
0
6.09727351
6.097273105
6.09727000
(0.00019093)
(0.00019133)
(0.00018000)
6.09727000

Table 29
3
0.75400
0.11769
1
2,204.62
0.7
0.054
0.8
1.07034796
0.16983537
0.00000000
0.16983487
0.16983470
0.00000000
0.00000000
1.06953893
0.16970685
0.00000000
0.169706352
0.16970620
0.00000000
0.00000000
0.00000000
0.754
0
0
0.11769338
0.117693283
0.11769000
(0.00019093)
(0.00019103)
(0.00018000)
0.11769000

11
13
29

01927941766)

09) - 0.0001927941766))

Table 29
Ltons/Bbl-60F
Mtons/Bbl-60F
Ltons/Bbl 60F
T. 29 - For Relative Density 60/60F

t (1,2 of 3)
R.DENS (60/60)
A1
W
A2
B1
E1
D1
B2
E2
D2
C_3

3
0.87640
0.14302
0.876
0.0004
0.976
0.13676750
0.136767202
0.13677000
0.15240203
0.15240193
0.15240000
0.14302000

R.DENS (60/60)
A1
B1
E1
D1

Table 29
0.91950
0.91950
0.14356852
0.14356822
0.14357

Notes:

This program is written by Capt. Yury Shishkin
This program is collection of small programs or formulas for Cargo Calculations.
1. All Pages in this File is separate.
2. You Can Cut or Copy any Page from this File and Put in to Yours Programs.

Please contact Yury.Shishkin@rambler.ru if you have any formulas or suggestions to improve th

program.
No liability can be claimed for errors resulting from the use of this program.

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US-American and British Units: Conversion of Usual Measuring Units
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US-American and British Units: Conversion of Usual Measuring Units
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Printable Conversion Chart
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Printable Conversion Chart
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