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Cairn Energy India PTY Ltd

BSPL Project - Barmer to Salaya Pipeline

CALCULATION

Allowable Bend Radius 52893.0324" Oil Pipeline 03-P-2-009

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DOCUMENT No OFFICE CODE PROJECT No AREA DIS TYPE NUMBER05 5893 03 P 2 009

01 21.05.07 Issued For IDC PD JC PD BS CEIL

REV DATE DESCRIPTION BY CHK ENG PM Client

PROJECT NO.

REF

No OF SHEETS

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Allowable Elastic Bend Radius Calculation

From simple bending theory:

R

Note:This calculation considers preliminary principal direction stressonly. In the presence of shear or torsion, FEA will be required.

External diameter, D, ( mm ) 609.6

Wall thickness, T, ( mm ) 11.1

Corrosion allowance, ca, ( mm ) 0

Milling tolerance, m, ( % ) 5

Internal pressure, P, ( Barg ) 90

Specified minimum yield stress, SMYS, ( N/mm 2 ) 448

Poisson's ratio, p_r, ( - ) 0.3

Young's modulus, E, ( N/mm 2 ) 206000

Temperature range, DT, ( Degree C ) 75

Expansion rate, , ( m/m/C) 0.0000117

Combined stress analysis case: Von Mises equivalent stress

Design case Installation Unrestrained Restrained

Safety factor - must be less than or equal to 1, ( - ) 1 0.9 0.9

Allowable stress, allow, ( N/mm2 ) 448.00 403.20 403.20

Hoop stress, ( N/mm 2 ) - 260.14 260.14

Resultant longitudinal stress, ( N/mm 2 ) - 130.07 -102.72

Sum of Hoop and Longitudinal 390.21 157.42

Tresca equivalent combined stress, ( N/mm 2 ) - 260.14 362.86

Equiv = Von Mises combined stress, ( N/mm 2 ) - 225.29 323.96

Ratio of Equivalent to SMYS 0.50 0.72

Allowable bending stress, ( N/mm 2 ) 448.00 177.91 79.24

Allowable bend radius, R, ( m ) 140.15 352.92 792.36

21 Revised to Suit 800m Bending Radius 19/05/2007 P Doc Jat Chohan P Doc0 Issued for internal check 01/05/06 P Doc GM P Doc

Rev Revisions Date Drawn Chkd Appd

Cairn Energy Calculated Bend Radius 05 2893 03 P 2 009 (001)

allow

ED R

2

=

03-P-2-009 Rev 01 - 24 inch Crude Oil Allowable Bend Radius HDD Pipelay.xls page 2 21/05/2007 14:04

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Horizontal Directional Drill Calculation

Pipe Material Characteristics

R Mat. Q (Kg/m3) E (N/mm2)Polycarb 1200 24100

AL 2690 75000

CS 7830 206000

SS 7987 195000

Titanium 4500 110000Monel 8800 195000

Copper 8910 124000

Pulling stress, from Force/Area From simple bending theory:

External diameter, D, ( mm ) 609.6

Wall thickness, T, ( mm ) 11.1

Friction Factor in soil, f, ( - ) 0.5

Length of pull for crossing, L pull , ( m ) 600

Pipe material density, ( kg/m 3 ) 7850

Specified minimum yield stress, SMYS, ( N/mm 2 ) 448

Youngs modulus, E, ( N/mm 2 ) 206000

Radius of pipe, r, ( mm ) 304.8

Uncorroded weight of pipe, w tot, ( N/mm ) 1.61

Cross sectional area of pipe, A, ( mm2 ) 20870.70

Pulling stress, pull , ( N/mm2 ) 23.10

Allowable bend radius stress, allow =( 0.9 SMYS ) - pull, ( N/mm2 ) 380.10

Allowable bend radius, R, ( m ) 165.19

21 Revised to 800m allowable bend radius 19/05/2007 P Doc Jat Chohan P Doc0 Issued for internal check 01/05/2007 P Doc GM P Doc

Rev Revisions Date Drawn Chkd Appd

Cairn Energy Horizontal Directional Drill 05 2893 03 P 2 009 (002)

allow

Er R

=

A

L fw pu llto t pu ll

=

03-P-2-009 Rev 01 - 24 inch Crude Oil Allowable Bend Radius HDD Pipelay.xls HDD page 3 21/05/2007 14:04

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Laying analysis Calculation

Top of Trench

Laying CrainR Pipeline

Trenchfloor

From simple bending theory:Note:This calculation considers preliminaryprincipal direction stress only. In theprescence of shear or torsion, FEA will be required.

External diameter, D, ( mm ) 609.6

Wall thickness, T, ( mm ) 11.1

Corrosion allowance, ca, ( mm ) 0

Milling tolerance, m, ( % ) 5

Specified minimum yield stress, SMYS, ( N/mm 2 ) 448

Poissons ratio, p_r, ( - ) 0.3

Youngs modulus, E, ( N/mm 2 ) 206000

Moment of inertia I, ( mm4 ) 934812877.3

Imposed load, (N) 125000

CSA, (mm 2) 20870.70

Safety factor - must be less than or equal to 1, ( - ) 1

Allowable stress, allow, ( N/mm2 ) 448.00

Resultant longitudinal stress, ( N/mm2

) 5.99

Allowable bending stress, ( N/mm 2 ) 442.01

Allowable bend radius, R, ( m ) 142.05

Bending moment, ( Nm ) 1355634

21 Revised to accommodate 800m allowable bend radius 19/05/2007 P Doc Jat Chohan P Doc0 Issue for Internal Check 01/05/07 P Doc GM P Doc

Rev Revisions Date Drawn Chkd Appd

Cairn Energy Construction Bend Stress 05 2893 03 P 2 009 (003)

allow

ED R

2=

R

EI M =

03-P-2-009 Rev 01 - 24 inch Crude Oil Allowable Bend Radius HDD Pipelay.xls 21/05/2007 14:05