Engineering Calculation Pipeline 5f5gi

HABSHAN-MAQTA-TAWEELAH (HMT) GAS PIPELINES PROJECT Project No. 5272 Agreement No. 13527201 PIPELINE ENGINEERING CALCULATION REPORT 5272-NC-GEN-95-001

EPC CONTRACTOR Page 2 of 30 Date

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REVISION RECORD: Revision No. 0 C B A

Reason for revision Issued for Construction Re-Issued for Approval incorporating Client comments Issued for Approval incorporating Client comments Issued for Client Review

Date 19.12.2012 09.12.2012 06.11.2012 16.10.2012



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TABLE OF CONTENTS 1.

INTRODUCTION ............................................................................................... 1.1. Background ......................................................................................... 1.2. Project Description...............................................................................

5 5 5

2.

DEFINITIONS ...................................................................................................

5

3.

SCOPE .............................................................................................................

6

4.

REFERENCE CODES, STANDARDS AND SPECIFICATIONS ....................... 4.1. General................................................................................................ 4.2. International Codes and Standards...................................................... 4.3. Project Documents ..............................................................................

6 6 6 6

5.

PIPELINE DESIGN DATA ................................................................................

7

6.

DESCRIPTION / METHODOLOGY - WALL THICKNESS CALCULATION...... 6.1. General................................................................................................ 6.2. Pipe Thickness Check for Stress Value ............................................... 6.3. Minimum Elastic Bending Radius......................................................... 6.4. Bend Thinning Requirements ..............................................................

8 8 9 11 11

7.

DESCRIPTION / METHODOLOGY - UPHEAVAL BUCKLING CALCULATION 7.1. General................................................................................................ 7.2. Methodology ........................................................................................ 7.3. Calculation for Axial Force (P) ............................................................. 7.4. Imperfection Length .............................................................................

12 12 12 12 13

8.

DESCRIPTION / METHODOLOGY – ROAD CROSSING CALCULATION ...... 8.1. General................................................................................................ 8.2. Methodology ........................................................................................

14 14 14

9.

CALCULATION RESULT / SUMMARY ............................................................ 9.1. Result for Wall Thickness Calculation .................................................. 9.2. Result for Upheaval Buckling Calculation ............................................ 9.3. Result for Crossing Calculation ............................................................ 9.4. Result for Anchor Load, Active length, free end expansion and Buoyancy Corroded Condition.........................................................................................

17 17 21 22 23 24

ATTACHMENT-1A & 1B: WALL THICKNESS CALCULATIONS (CORRODED & NEW CONDITION) .......................................................................................................................... 26 ATTACHMENT-2: UPHEAVAL BUCKLING CALCULATION ........................................

27

ATTACHMENT-3: CROSSING CALCULATIONS ..........................................................

28



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ATTACHMENT-4: PIPELINE BUOYANCY CALCULATION ..........................................

29

ATTACHMENT-5: ANCHOR LOAD, ACTIVE LENGTH & FREE EXPANSION CALCULATION 30



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1. INTRODUCTION 1.1. Background Abu Dhabi Gas Industries Limited (GASCO) intends to supply sales gas to Emirates Aluminium (EMAL) for their second expansion requirements, to MASDAR for their new Carbon Capture & Storage Project Requirements and other new consumers identified by ADNOC as part of their next five year gas supply plan in Taweelah Area. DODSAL ENGINEERING & CONSTRUCTION PTE LIMITED is EPC Contractor for the project of Habshan – Maqta -Taweelah Gas Pipelines Project abbreviated to HMT Gas Pipelines Project. The Owner Company for this project is Abu Dhabi Gas Industries Ltd. (GASCO). 1.2. Project Description  Two (2) Nos. new 52” pipelines from Habshan to Maqta premises (approx. 125 km.each) with Scraper Launcher, Scraper Receiver and intermediate Block Valve Stations. 

One (1) No. new 52” pipeline from Maqta to Taweelah KM42 point (approx. 42 km.) with Scraper Launcher, Scraper Receiver and intermediate Block Valve Stations.



One (1) No. new 42” pipeline from Taweelah KM42 point to ADWEC CRS (approx. 11 km.) with Scraper Launcher and Receiver Stations. Scraper receiver station at ADWEC CRS shall include ROV, FCV, Filters, Metering skid and PRS for custody transfer to Khalifa Port (KIZAD). Scraper Receiver station shall also include plot area provision for future filters, Custody Transfer/Metering and PRS for ADWEC (Taweelah) and MASDAR (with ADWEC).



Supervisory and Monitoring Systems for the new pipelines and upgrading of the existing SMC system to include new facilities.



Associated Civil, Electrical, Instrumentation, Telecom and Cathodic Protection works



Demolition of existing 30” pipeline from Bab to Maqta manifold.



Demolition of existing 24” pipeline from Maqta to Taweelah Consumer Receipt Station.

2. DEFINITIONS In this document following words and expressions shall have the meanings hereby assigned to them except where the content otherwise requires: COMPANY

: Abu Dhabi Gas Industries Ltd. (GASCO)

CONTRACTOR

: Dodsal Engineering & Construction Pte. Ltd.

PMC

: Engineers India Limited.



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3. SCOPE This document covers the Calculations for Pipeline Wall Thickness, Upheaval buckling, Buoyancy, Crossing, Anchor load, Active length and Free expansion for “Habshan-MaqtaTaweelah (HMT) Gas Pipelines Project”. The thickness will be verified as per ASME B31.8 for gas pipelines. 4. REFERENCE CODES, STANDARDS AND SPECIFICATIONS 4.1. General These pipeline calculations were performed in conformance with the current issue, amendments and Project Addendum of the following codes, standards and specifications prevailing on the effective date of the contract. 4.2. International Codes and Standards The following codes and standards form the basis for the pipelines calculations. ASME B 31.8 Ed 2010

Gas Transmissions and Distribution Piping Systems

PD 8010-1:2004

Code of Practice for Pipelines Part 1 - Steel Pipelines on Land

API 5L 44th Edition

Specification for Line Pipe

API RP 1102 7th Edition

Steel Pipeline Crossing Rail, Roads and Highways

4.3. Project Documents 5272-PP-GEN-00-001

Process Design Basis.

5272-RT-GEN-95-001

Pipeline Design Basis

5272-ADD-9550-004

Addendum to DGS Flexibility analysis (Pipeline)

5272-ADD-9550-003

Addendum to DGS for Pipeline Hydrostatic Testing

5272-ADD-9550-002

Addendum to DGS Pipeline Construction

5272-RT-GEN-17-004

Geotechnical survey report



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5. PIPELINE DESIGN DATA Thammama C - Maqta

Maqta – KM 42

KM 42 – Taweelah

Pipeline diameter. NB

52

52

42

SV2 to Yas island tiein 16

Outside Diameter mm

1320.8

1320.8

1066.8

406.4

Design Code, ASME Design Pressure, bar (g) Corrosion Allowance, mm Maximum Design Temp. Above Ground (ºC) Maximum Design Temp. Below Ground (ºC)

B31.8

B31.8

B31.8

B31.8

63.5

63.5

63.5

63.5

1.5

1.5

1.5

1.5

100

100

100

100

65

65

65

65

65

65

65

65

Minimum Design Temp. of pipeline system (ºC)

0 (Note 1)

0 (Note 1)

0 (Note 1)

0 (Note1)

Max. Temp. at 1m depth of soil (ºC)

38

38

38

38

13

13

13

13

5

5

5

5

600

600

600

600

1

1

1

1

X 65MS, PSL 2

X 65MS, PSL 2

X 65MS, PSL 2

X 65MS, PSL 2

450

450

450

450

CLASS 3

CLASS 3

Parameters

Warmest or Coldest Operating Temp. (ºC)

Minimum Tie-in Temp., underground section (ºC) Minimum Tie-in Temp., aboveground section (ºC) Flange Rating, ASME Class Min burial depth to top of pipe (normal terrain), m Material Grade, API 5L Material SMYS, MPa Design Factor, F

CLASS 1

CLASS 3

CLASS 4

CLASS 3

CLASS 4

HABSHAN-MAQTA-TAWEELAH (HMT) GAS PIPELINES PROJECT Project No. 5272 Agreement No. 13527201

EPC CONTRACTOR Page 8 of 30

PIPELINE ENGINEERING CALCULATION REPORT 5272-NC-GEN-95-001

Parameters

Thammama C - Maqta

Mainline Track/Asphalt Road/Rig Crossings Stations (SVs & Launcher/receivers) Co-efficient of Thermal Expansion, mm/deg C Elastic Modulus E, Mpa Internal coating thickness External Coating

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Maqta – KM 42

KM 42 – Taweelah

SV2 to Yas island tiein 0.5

0.72

0.5

0.4

0.5

0.4

0.5

0.5

0.5

0.4

0.5

0.4

0.5

0.5

0.5

0.4

0.5

0.4

0.5

0.5

0.5

11.7 x 10-6

11.7 x 10-6

11.7 x 10-6

11.7 x 10-6

207.0 x 10³

207.0 x 10³

207.0 x 10³

60 – 100 microns

60 – 100 microns

207.0 x 10³ Not applicable

3 Layer Polyethylene

3 Layer Polyethylene

3.55

3.55

Minimum External Coating Thickness, mm (FBE+Adhesive+PE)

60 – 100 microns 3 Layer Polyethylen e

3 Layer Polyethylen e

3.55

3.05

Note 1: Min. Design temperature is confirmed as per depressurization study.

6. DESCRIPTION / METHODOLOGY - WALL THICKNESS CALCULATION 6.1. General Pipelines wall thickness is calculated based on the internal design pressure and in accordance with the Design codes for gas pipelines as described below. Calculations are done for location class 1, 3 and 4 of gas pipeline with design factors of 0.72, 0.5 and 0.4 respectively. The wall thickness for the CS pipe shall be initially calculated by following expression. As per ASME B31.8 clause 841.1.1, the formula for the wall thickness calculation of gas pipeline is: tmin = [PD D / (2FSET)] + A where, PD

=

Design pressure for the pipeline



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S

=

Specified Minimum Yield Strength (SMYS)

tmin

=

Calculated Minimum Wall thickness

D

=

Outside diameter of pipe

F

=

Design factor (Ref Table 841.1.6-1 of ASME B31.8)

E

=

Longitudinal t factor (Ref Table 841.1.7-1 of ASME B31.8)

T

=

Temperature derating factor (Ref Table 841.1.8-1 of ASME B31.8)

A

=

Corrosion Allowance

The Thickness calculated from above is then checked for acceptability of the ratio of diameter to thickness for final thickness selection and it should not exceed 96. 6.2. Pipe Thickness Check for Stress Value The stresses are calculated for the pipe wall thickness as per equations given below: a)

Hoop Stress Hoop stress, SH = PDD / 2t

b)

(Clause 805.2.3 of ASME B31.8)

Longitudinal Stress





Longitudinal stress due to pressure: For restrained pipe:

SP = 0.3 SH

(Clause 833.2 (a) of ASME B31.8)

For unrestrained pipe:

SP = 0.5 SH

(Clause 833.2 (b) of ASME B31.8)

Longitudinal stress due to thermal expansion in restrained pipe (thermal stress): ST = E  (T1 – T2) (Clause 833.2 (c) of ASME B31.8)



Longitudinal stress due to bending: SB = M / Z (Clause 833.2 (d) of ASME B31.8)



Longitudinal stress due to axial loading other than thermal expansion and pressure: SX = R / A (Clause 833.2 (f) of ASME B31.8)

The net longitudinal stress:




For restrained pipe:

SL = SP + ST + SB + SX

For unrestrained pipe: SL = SP + SB + SX

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(Clause 833.3 (a) of ASME B31.8) (Clause 833.6 (a) of ASME B31.8)

Where:

c)

E

=

Modulus of elasticity at ambient temperature



=

Thermal expansion coefficient

T1 =

pipe temperature at the time of installation, tie-in or burial

T2 =

Warmest operating temperature

M

=

Bending moment across the pipe cross-section

Z

=

Pipe section modulus

R

=

External force axial component

A

=

Pipe metal cross-sectional area

Combined / Equivalent Stress The combined/equivalent stress of the restrained pipe is evaluated using the calculation in either (1) or (2) below (Ref clause 833.4(a) of ASME B31.8): (1) SE1 = SH – SL (2) SE2 = [SH2 + SL2 - SH SL] ½

d)

Criteria The calculated stress needs to fulfill the criteria given below: The net longitudinal stress, SL: For restrained pipe (Ref clause 833.3(b) of ASME B31.8):

SL ≤ 0.9 SMYS x T

For unrestrained pipe (Ref clause 833.6(b) of ASME B31.8): SL ≤ 0.75 SMYS x T The combined / equivalent stress for restrained pipe (Ref clause 833.4 of ASME B31.8), SE1 and SE2 ≤ k x SMYS x T,

where k ≤ 0.9 for load of long durations



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6.3. Minimum Elastic Bending Radius The route and profile of any fully restrained section of pipelines should be controlled to ensure that the elastic bend limit or minimum allowable elastic bending radius is not exceeded. The minimum elastic bending radius is determined as explained below. 1.

The net longitudinal stress SL in section 6.2(b) shall be calculated in of SB

2.

By substituting the calculated SL in of SB into combined / equivalent stress equation 6.2 (c), SE is derived in of SB.

3.

Based on criteria mentioned in section 6.2 (d), combined / equivalent stress shall be less than 90% of SMYS for k = 0.9 and T = 1. Hence, maximum allowable margin for bending stress can be derived by substituting the values of combined / equivalent stress SE in of SB into the criteria.

By adjusting the Minimum Elastic Bending Radius (R) in below equation, we can ensure that Bending Stress is within the allowable margin to meet the above criteria. R = ED / 2SB For pipelines assuming a natural curvature that incurs a permanent elastic bending stress, the minimum bending radius as per the calculation specified in Attachment-1 for respective wall thickness shall be followed. 6.4. Bend Thinning Requirements Wall thickness check, also takes into the bend thinning requirements in accordance with Clause 6.2.2.3 of PD 8010-1:2004. This is in the case of subjecting the pipe to field bending or cold bending having a minimum bend radius of 40D and Factory hot bends with a bend radius of 5D. The wall thinning as a percentage is given by following empirical formula. Wall thinning % = 50 / (n +1) Where n = inner bend radius divided by pipe diameter. By equating the calculated pipe thickness and bend thickness after bending, the calculated thickness for design pressure = (1- thinning %) x pipe thickness before bend. Pipe thickness before bending = (Calculated thickness for design pressure) / (1 – Thinning %) The bend wall thinning allowance considered for the project shall be verified / confirmed by Hot Bends Supplier.




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7. DESCRIPTION / METHODOLOGY - UPHEAVAL BUCKLING CALCULATION 7.1. General The simplified method presented in OTC Paper 6335 by A.C. Palmer, C. P. Ellinas, D.M. Richards and J. Guijt (presented at 22nd Annual OTC in Houston, Texas, May 7-10, 1990) is used to check that the selected depth of cover for pipeline is adequate to prevent upheaval buckling. The calculation is done for both new and corroded condition of pipes. 7.2. Methodology The required downward force to prevent upheaval buckling of pipe is a function of pipe flexural rigidity (EI) and the axial compressive force due to pressure and temperature load. The equation 12 of OTC paper 6335 gives the required for stability in the operating condition: W = [1.16 – 4.76 (EI W o / δ) 0.5 / P P (δW o / EI) 0.5 Where,

…………. (1)

W

=

Required force to prevent upheaval buckling

E

=

Young’s modulus of steel

I

=

Section modulus for pipe

δ

=

Allowable Imperfection height

P

=

Effective axial force in operation

Wo

=

Weight of pipe + Weight of content + Weight of corrosion coating per unit length

The vertical force that resists uplift of pipeline is related to the profile imperfection and therefore a term imperfection height is appearing in the above formula. The soil resistance also changes with increase in imperfection height. Upheaval buckling check has been carried out for various imperfection heights from 0.1 to 0.5m. 7.3. Calculation for Axial Force (P) The axial force on buried pipeline section will include following forces: a)

Axial tensile stress due to hoop stress = ٧Sh Where,

٧

=

Poissons ratio i.e. 0.3 for steel pipe

Sh

=

Hoop stress (PD x D)/2t




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b)

Axial Compressive stress due to internal pressure = 0.3 x Sh

c)

Axial Compressive force due to temperature change = Eα(T2-T1) Where,

E

=

Modulus of elasticity

α

=

Thermal expansion coefficient

T2

=

Design temperature for underground section

T1

=

Installation temperature

The Axial Force, P = PD*Ai + A*{E α (T2-T1) - ٧Sh } Where,

…………. (2)

Ai

=

Area corresponding to internal cross-section of Pipe

A

=

Cross-Section area of Pipe

PD

=

Design pressure

Axial force calculated above is considering fully restrained condition of pipeline (more conservative scenario) The soil above the buried pipeline will provide an uplift resistance, (as per OTC paper Eq 13), Q = H*D* Ƴ*[1+f *H / D] Where,

…………. (3)

Q

=

Uplift Soil resistance per unit length

H

=

pipe cover

D

=

Pipe outside diameter

Ƴ

=

Soil density

f

=

Uplift coefficient (0.1 0.5 for dense material)

for

loose

material

&

To prevent the upheaval buckling of pipeline, |W| < |Wo + Q| 7.4. Imperfection Length Maximum downward force per unit length required to stabilize the pipeline at the crest of the profile imperfection (as per OTC paper Eq 4 ) W = 2*δ* P*(π/Limp)2 – 8*δ*E*I*((π/Limp)4

…………. (4)



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where, Limp = Imperfection Length Limp shall be calculated by solving the quadratic equation as follows (π / Limp)4 – [P / 4*E*I] (π / Limp)2 + [ W / 8δEI ] = 0 8. DESCRIPTION / METHODOLOGY – ROAD CROSSING CALCULATION 8.1. General The purpose of this calculation is to ensure satisfactory and optimal design in compliance with criteria (circumference stress due to internal pressure as per Barlow formula, effective stress and fatigue) defined in API RP 1102, and to determine whether wall thicknesses heavier than the selected wall thickness would be required at road crossing. The following wheel loadings were taken into in determining the stresses imposed on pipeline.



Asphalt Road/ Highway /Track crossings: 112kN per wheel at 900mm centers with maximum of four (4) wheels per axle. area per API RP 1102 is 0.093 square meters, giving surface pressure = 1204 kN/m2.



Rig crossings: 2200 kN on a single axle (2 wheel set) and the maximum single axle wheel load is 1100kN. The area, over which the wheel load is applied, shall be taken as 0.403 square meters.

8.2. Methodology The methodology for track/asphalt road/rig crossing calculations (as mentioned in API 1102) is described briefly in the following steps: a. Begin with the wall thickness (calculated with design factor 0.5 for Class 1 and 3 and design factor 0.4 for Class 4) for pipeline of given diameter approaching the crossing. Determine the pipe, soil, construction, and operational characteristics. b. Use the Barlow formula to calculate the circumferential stress due to internal pressure, Shi (Barlow). Check Shi against the maximum allowable value. c.

Calculate the circumferential stress due to earth load, SHe.

d. Check the critical axle configuration as per figure A-1 Annex. A of API 1102. e. Calculate the external live load, w, and determine the appropriate impact factor, Fi.


f.


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Calculate the cyclic circumferential stress, ΔSH, and the cyclic longitudinal stress, ΔSL, due to live load.

g. Calculate the circumferential stress due to internal pressure, SHi h. Check effective stress, Seff, as follows:

i.

1.

Calculate the principal stresses, S1 in the circumferential direction, S2 in longitudinal direction, and S3 in the radial direction.

2.

Calculate the effective stress, Seff.

3.

Check by comparing Seff against the allowable stress, SMYS x F.

Check weld for fatigue as follows: 1.

Check with weld fatigue by comparing ΔSL against the girth weld fatigue limit, SFG x F.

2.

Check longitudinal weld fatigue by comparing, ΔSH against the longitudinal weld fatigue limit, SFL x F. where,



Circumferential stress due to internal pressure, Shi (Barlow) = PDD ⁄ 2tw



(refer section 4.8.1.1 of API 1102)

Circumferential stress due to earth load, SHe = KHe Be Ee γ D


KHe is the stiffness factor for circumferential stress from earth load. Be is the burial factor for earth load. Ee is the excavation factor for earth load. γ is the soil unit weight. 

Surface pressure due to Live load, w = P ⁄ AP


P may be Design single wheel load PS or Design tandem wheel load PT AP is the area over which the wheel load is applied 

Cyclic circumferential stress due to highway vehicular load,


ΔSHh = KHhGHhRLFiw


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(refer section 4.7.2.2.4.1 of API 1102)

KHh is the highway stiffness factor for cyclic circumferential stress. GHh is the highway geometry factor for cyclic circumferential stress. R is the highway Pavement type factor. L is the highway axle configuration factor. Fi is the impact factor. w is the applied design surface pressure. 

Cyclic longitudinal stress due to highway vehicular load, ΔSLh = KLhGLhRLFiw

(refer section 4.7.2.2.4.2 of API 1102)

KLh is the highway stiffness factor for cyclic longitudinal stress. GLh is the highway geometry factor for cyclic longitudinal stress. R is the highway pavement type factor. L is the highway axle configuration factor. Fi is the impact factor. w is the applied design surface pressure. 

Circumferential stress due to internal pressure, SHi = PD (D– tw) ⁄ 2tw



Maximum circumferential stress, S1 = SHe + ΔSH + SHi




Maximum radial stress, S3 = –p = –PD (Design Pressure)




Maximum longitudinal stress, S2 = ΔSL – EsαT(T2 – T1) + νs(SHe + SHi)



(refer section 4.7.3 of API 1102)


Total effective stress, Seff = [0.5 (S1 – S2)2 + (S2 – S3)2 + (S3 – S1)2]0.5 (refer section 4.8.1.3 of API 1102)




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9. CALCULATION RESULT / SUMMARY For calculation details, refer to Attachments - 1, 2, 3, 4 and 5. Based on the calculation results, the selected wall thicknesses for pipelines as listed below are found adequate for the anticipated design pressures and temperatures, combined / equivalent stresses, upheaval buckling and withstand the expected traffic / wheel loadings at Track, Asphalt Road/ Highway and Rig crossing at the specified depth. 9.1. Result for Wall Thickness Calculation Wall thickness of Pipeline 52” Sales Gas Pipeline, API 5L X65

42” Sales Gas Pipeline, API 5L X65


Location Class

Calculated WT (mm)

Selected WT (mm)

Calculated WT (mm)

Selected WT (mm)

Calculated WT (mm)

Selected WT (mm)

4

24.8

25.2

NA

NA

NA

NA

3

20.1

20.5

16.5

16.9

7.2

14.7

1

14.4

14.7

NA

NA

NA

NA

Wall thickness check for 40D field/cold bends 52” Sales Gas Pipeline, API 5L X65



Location Class

Calculated WT (mm)

Selected WT (mm)

Calculated WT (mm)

Selected WT (mm)

Calculated WT (mm)

Selected WT (mm)

4

25.1

25.2

NA

NA

NA

NA

3

20.4

20.5

16.8

16.9

7.3

14.7

1

14.6

14.7

NA

NA

NA

NA




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Wall thickness of Mother pipes for 5D Factory Hot bends 52” Sales Gas Pipeline, API 5L X65



Location Class

Calculated WT (mm)

Selected WT (mm)

Calculated WT (mm)

Selected WT (mm)

Calculated WT (mm)

Selected WT (mm)

4

27.3

28.0

NA

NA

NA

NA

3

22.1

25.2

18.2

18.8

8.0

14.7

1

15.9

20.5

NA

NA

NA

NA

Check for D/t ratio Description Pipeline Diameter , inch

Class - 4 Class -3 Class -1 Class-3

Class-3

52

52

52

42

16

Pipeline Outer Diameter D, mm

1320.8

1320.8

1320.8

1066.8

406.4

Selected Wall Thickness t, mm

25.2

20.5

14.7

16.9

14.7

D/t Ratio

52

64

90

63

28

D/t < 96

OK

OK

OK

OK

OK



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Result for Stresses and minimum elastic bending radius (Non-Corroded condition)

52” (Location Class 4)





Selected Wall Thickness (mm)

25.2

20.5

14.7

16.9

14.7

Combined / Equivalent Stress of unrestrained section in MPa (% of SMYS)

144.1(32.02%)

177.2 (39.37%)

247.1 (54.91%)

173.6 (38.57%)

76 (16.89%)

Combined / Equivalent Stress of Restrained section in MPa (% of SMYS)

238.6 (53.02%)

265.3 (58.95%)

321.8 (71.51%)

262.4 (58.31%)

183.6 (40.8%)

Margin for Bending Stress in MPa (% of SMYS)

166.6 (37.02%)

139.9 (31.08%)

83.4 (18.53)

142.8 (31.73)

221.6 (49.24)

Min. Elastic Bend Radius (m)

796

948

1589

750

184



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Result for Stresses and Minimum Elastic Bend Radius (Corroded Condition) 52” (Location Class 4)






25.2

20.5

14.7

16.9

14.7

Corroded wall thickness (mm)

23.7

19.0

13.2

15.4

13.2

Combined / Equivalent Stress of unrestrained section in MPa (% of SMYS)

153.2 (34.04%)

191.1 (42.46%)

275.1 (61.13%)

190.5 (42.33%)

84.7 (18.82%)

Combined / Equivalent Stress of Restrained section in MPa (% of SMYS)

246 (54.66%)

276.6 (61.46%)

344.5 (76.55%)

276.1 (61.35%)

190.5 (42.33%)

Margin for Bending Stress in MPa (% of SMYS)

159.2(35.37%)

128.6 (28.57%)

60.7 (13.48%)

129.1 (28.68%)

214.7 (47.71%)

Min. Elastic Bend Radius (m)

832

1031

2184

829

190

Minimum elastic bending radius to be considered for Construction shall be as per the value calculated in corroded condition.




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9.2. Result for Upheaval Buckling Calculation Calculation for Non-Corroded & Corroded Conditions

Result

Location Class

Wall Thickness (mm)

Depth of Cover (m)

4

25.2

1.5

OK

3

20.5

1.0

OK

1

14.7

1.0

OK

42” SALES GAS PIPELINE, API 5L X65

3

16.9

1.0

OK


3

14.7

1.0

OK

Size




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9.3. Result for Crossing Calculation 52” SALES GAS PIPELINE, API 5L X65



Crossing Wall Thick. (mm)

Burial Depth (m)

Wall Thick. (mm)

Burial Depth (m)

Wall Thick. (mm)

Burial Depth (m)

Location Class = 4 Track Crossing

25.2

2

NA

NA

NA

NA

Asphalt Road Crossing/ Highway Crossing

25.2 (Note-1)

2

NA

NA

NA

NA

Rig Crossing

25.2

2

NA

NA

NA

NA


20.5

1.5

16.9

1.5

14.7

1.5


20.5 (Note1)

2

16.9 (Note-1)

2

NA

NA

Rig Crossing

20.5

2

16.9

2

NA

NA


20.5

1.5

N/A

N/A

NA

NA


20.5 (Note1)

2

N/A

N/A

NA

NA

Rig Crossing

20.5

2

N/A

N/A

NA

NA

Result

OK

OK

OK

Note 1: The value of Wall thickness for NDRC will be re-validated by NDRC Contractor.



19.12.2012

Rev

0

9.4. Result for Anchor Load, Active length, free end expansion and Buoyancy Non Corroded Condition 52” (Location Class 4)






25.2

20.5

14.7

16.9

14.7

Free End Expansion (Noncompacted) (mm)

495 (Note-1)

440 (Note-1)

N/A

366 (Note-1)

259 (Note-1)

Free End Expansion (Compacted) (mm)

445 (Note-1)

395 (Note-1)

N/A

328 (Note-1)

232 (Note-1)

Anchor Load in Tonne

1616 (Note 3)

1384 (Note 3)

N/A

916 (Note 3)

256 (Note 3)

Active Length (Non-compacted) (m)

753.86

659.5

N/A

549.8

407.78

Active Length (Compacted) (m)

678.59

592.41

N/A

493

365.23

Factor of Safety against floatation

0.573 (Note-2)

0.468 (Note-2)

0.337 (Note-2)

0.477 (Note-2)

1.068 (Note-2)



19.12.2012

Rev

0

Corroded Condition 52” (Location Class 4)






25.2

20.5

14.7

16.9

14.7

Corroded wall thickness (mm)

23.7

19

13.2

15.4

13.2

Free End Expansion (Compacted) (mm)

429 (Note-1)

379 (Note-1)

N/A

311 (Note-1)

214 (Note-1)

Anchor Load (tonne)

1542 (Note 3)

1310 (Note 3)

N/A

857 (Note 3)

234 (Note 3)

Active Length (Compacted) (m)

651.51

564

N/A

463.65

336

Factor of Safety against floatation

0.540 (Note-2)

0.434 (Note-2)

0.303 (Note-2)

0.436 (Note-2)

0.963 (Note-2)

Anchor load shall be considered based on non corroded condition. However, the value obtained from approved stress analysis shall be used for design of anchor block. Notes: 1) Values less than 25mm at A/G U/G transition point can be accepted and these can be accommodated in A/G portion of the pipeline with sliding s in the pig trap. Values greater than 25mm are not acceptable and should be reduced by anchoring in the U/G section of the pipeline as per the stress analysis report. 2) It is not anticipated that construction will be carried out in ground water because where ground water is encountered; the pipeline will be installed on filled ground above the water table in accordance with the typical drawings for Sabkha Construction. However, Antibuoyancy calculation is carried out to check pipeline stability in case pipeline installation inside the water table is approved by COMPANY in unavoidable circumstances. The



19.12.2012

Rev

0

calculation result FOS value less than 1.0 indicates that the pipeline is buoyant. A FOS value greater than 1.1 is recommended to prevent pipe floatation against negative buoyancy in case pipeline is laid inside water table. 3) Anchor load will be confirmed after Pipeline Stress Analysis.



19.12.2012

Rev

0

ATTACHMENT-1A & 1B: WALL THICKNESS CALCULATIONS (CORRODED & NEW CONDITION) (No. of Sheets – 10+5)



19.12.2012

Rev

0

ATTACHMENT-2: UPHEAVAL BUCKLING CALCULATION (No. of Sheets – 10)


ATTACHMENT-3: CROSSING CALCULATIONS (No. of Sheets – 13)


19.12.2012

Rev

0



19.12.2012

Rev

0

ATTACHMENT-4: PIPELINE BUOYANCY CALCULATION (No. of Sheets – 5)



19.12.2012

Rev

0

ATTACHMENT-5: ANCHOR LOAD, ACTIVE LENGTH & FREE EXPANSION CALCULATION (No. of Sheets – 15)

ATTACHMENT - 1A - Non Corroded condition Document No. 5272-NC-GEN-95-001 Rev. 0 Wall thickness calculation and minimum elastic bend radius for 52" Pipelines at Location Class 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14

DESIGN INPUT Design Codes and standards Pipeline Size / Nominal O.D Corrosion Allowance Location Class Design Factor Steel Coefficient of Expansion Modulus of Elasticity Pressure and Temperature Data Design Pressure Installation Temp. Aboveground Design Temp. Underground Design Temp.

F α E

ASME B31.8, API 5L 52 in 1.5 mm 4 0.4 0.0000117 per deg C 2.01E+05 MPa

P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23

Weld t factor Temperature Derating Factor Max. factor for load of long durations

E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Selected wall thickness D/t Check ( Should be < 96)

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1320.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o

A. WALL THICKNESS Grade SMYS of Line Pipe Wall Thickness Calculated tmin = PD / (2SFET) + A

X65 65300 24.8

psi mm

450 MPa 0.976 inch

25.2 52

mm

0.992 inch

B. COMBINED / EQUIVALENT STRESS CHECK FOR NEW PIPE CONDITION Wall thickness (t) Hoop Stress = SH = PD/2t

25.2 166.4

mm MPa

0.992 inch 24136 psi

B.1 Restrained Pipe (Underground) Thermal Stress = ST = α (T1 - T3) E Longitudinal Stress due to pressure = SP = 0.3 SH

-122.1 49.9

MPa MPa

Longitudinal Stress, SL SL = SP + ST + SB + SX

S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi

Without considering SB (Bending stress) and SX (Axial stress due to external loading): SL = SP + ST Longitudinal Stress check : hence SL ≤ 0.9 x SMYSxT Combined Stress, SE SE1 = | SH - SL | SE2 = [ SH2 + SL2 - SH SL ]1/2 SE = Max (SE1, SE2) Combined/Equivalent Stress check :

≤ k x SMYS xT = 406 MPa SE ≤ 0.9 x SMYSxT

-72.2 OK

MPa

-10471 psi

SE1 SE2 SE

238.6 211.9 238.6

MPa MPa MPa

34606 psi 30739 psi 34606 psi

hence

OK

MPa

12068 psi

B.2 Unrestrained Pipe (Aboveground) Longitudinal Stress due to pressure = SP = 0.5 SH

83.2

Longitudinal Stress, SL SL = SP +SB + SX ≤ 0.75 x SMYS x T = 338 MPa Without considering SB (Bending stress) and SX (Axial stress due to external loading): SL = SP Longitudinal Stress check : hence SL ≤ 0.75 x SMYSxT Combined Stress, SE SE1 = | SH - SL |

48975 psi 83.2 OK

MPa

12068 psi

SE1 SE2 SE

83.2 144.1 144.1

MPa MPa MPa

12068 psi 20902 psi 20902 psi

hence

OK

61

SE2 = [ SH2 + SL2 - SH SL ]1/2 SE = Max (SE1, SE2) ≤ k x SMYS xT = 0 MPa Combined/Equivalent Stress check : SE ≤ 0.9 x SMYSxT

62 63 64 65 66

C. MINIMUM BENDING RADIUS Minimum bending radius for underground section is calculated from margin for elastic bending, = (0.9 x SMYS x T) - SE 166.6 MPa R (Minimum Bend Radius) = E D / (2 |Sb|) 796 m

67 68 69 70 71 72 73 74 75 Page 1 of 10

-17711 psi 7241 psi

24163 psi

ATTACHMENT - 1A - Non Corroded condition Document No. 5272-NC-GEN-95-001 Rev. 0 Bend thinning calculation for 52" Pipelines at Location Class 4 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 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51

DESIGN DATA Design Codes and standards Pipe outside diameter Grade SMYS of Line Pipe Design pressure Design factor Weld t factor Temp. derating factor Corrosion Allowance

ASME B31.8, PD 8010-1, API 5L D 1321 X65 S 65300 921.0 P 0.4 F 1 E 1 T 1.5 A

mm psi psi(g)

mm

A. CHECK ON THINNING FOR FACTORY HOT BENDS: BEND RADIUS = 5 D Calculated required thk, t 24.8 mm t = P x D / (2x Sx Fx E x T) + A Selected Mainline Wall Thickness 25.2 mm n, Inner Bend radius divided by diameter 4.5 As per Cl 6.2.2.3 of PD 8010-1:2004,% of wall thinning (50)/(n+1) Pipe Thk. Before bending (cal thk)/(1-thinning %) Selected thickness for bend making Adequacy Check (Pipe thk before bending < Available thk)

9.1 % 27.3 mm 28.0 mm OK

B. CHECK ON THINNING FOR FIELD OR COLD BENDS: BEND RADIUS = 40 D Inner bend radius divided by diameter, (n)

39.5

As per Cl 6.2.2.3 of PD 8010-1:2004,% of wall thinning (50)/(n+1) Pipe thk. before bending = cal thk/(1-thinning %) Available thickness for bending (= Selected thk) Adequacy Check (Pipe thk before bending < Available thk)

1.23 25.1 25.2 OK

52 53 54 55

Page 2 of 10

% mm mm



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1320.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 20.1

psi mm

450 MPa 0.792 inch

20.5 64

mm

0.807 inch


20.5 204.6

mm MPa

0.807 inch 29669 psi


-122.1 61.4

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi



-60.7 OK

MPa

-8811 psi

SE1 SE2 SE

265.3 240.8 265.3

MPa MPa MPa

38480 psi 34919 psi 38480 psi

hence

OK

MPa

14835 psi


102.3


48975 psi 102.3 OK

MPa

14835 psi

SE1 SE2 SE

102.3 177.2 177.2

MPa MPa MPa

14835 psi 25694 psi 25694 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 3 of 10

-17711 psi 8901 psi

20290 psi



ASME B31.8, PD 8010-1, API 5L

D

1321 X65 65300 921.0 0.5 1 1 1.5

S P F E T A

mm psi psi(g)

mm


9.1 % 22.1 mm 25.2 mm OK


39.5


1.23 20.4 20.5 OK

52 53 54 55

Page 4 of 10

% mm mm



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1320.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 14.4

psi mm

450 MPa 0.568 inch

14.7 90

mm

0.579 inch


14.7 285.3

mm MPa

0.579 inch 41376 psi


-122.1 85.6

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi

Without considering SB (Bending stress) and SX (Axial stress due to external loading): SL = SP + ST Combined/Equivalent Stress check : hence SL ≤ 0.9 x SMYSxT Combined Stress, SE SE1 = | SH - SL | SE2 = [ SH2 + SL2 - SH SL ]1/2 SE = Max (SE1, SE2)

≤ k x SMYS xT = 406 MPa

Combined Stress check :

SE ≤ 0.9 x SMYSxT

-36.5 OK

MPa

-5299 psi

SE1 SE2 SE

321.8 305.2 321.8

MPa MPa MPa

46674 psi 44264 psi 46674 psi

hence

OK

MPa

20688 psi


142.6


48975 psi 142.6 OK

MPa

20688 psi

SE1 SE2 SE

142.6 247.1 247.1

MPa MPa MPa

20688 psi 35832 psi 35832 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 5 of 10

-17711 psi 12413 psi

12096 psi



ASME B31.8, PD 8010-1, API 5L

D

1321 X65 65300 921.0 0.72 1 1 1.5

S P F E T A

mm psi psi(g)

mm


9.1 % 15.9 mm 20.5 mm OK


39.5


1.23 14.6 14.7 OK

52 53 54 55

Page 6 of 10

% mm mm



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1066.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 16.5

psi mm

450 MPa 0.651 inch

16.9 63

mm

0.665 inch


16.9 200.4

mm MPa

0.665 inch 29068 psi


-122.1 60.1

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi



-62.0 OK

MPa

-8991 psi

SE1 SE2 SE

262.4 237.6 262.4

MPa MPa MPa

38059 psi 34455 psi 38059 psi

hence

OK

MPa

14534 psi


100.2


48975 psi 100.2 OK

MPa

14534 psi

SE1 SE2 SE

100.2 173.6 173.6

MPa MPa MPa

14534 psi 25174 psi 25174 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 7 of 10

-17711 psi 8721 psi

20711 psi



ASME B31.8, PD 8010-1, API 5L

D

1066.8 X65 65300 921.0 0.5 1 1 1.5

S P F E T A

mm psi psi(g)

mm


9.1 % 18.2 mm 18.8 mm OK


39.5


1.23 16.8 16.9 OK

52 53 54 55

Page 8 of 10

% mm mm



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

406.4

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 7.2

S tmin t

B. COMBINED / EQUIVALENT STRESS CHECK FOR NEW PIPE CONDITION Wall thickness (t) Hoop Stress = SH = PD/2t B.1 Restrained Pipe (Underground) Thermal Stress = ST = α (T1 - T3) E Longitudinal Stress due to pressure = SP = 0.3 SH Longitudinal Stress, SL SL = SP + ST + SB + SX

Combined Stress, SE SE1 = | SH - SL |

Combined/Equivalent Stress check :

450 MPa 0.285 inch

14.7 28

mm

0.579 inch

14.7 87.8

mm MPa

0.579 inch 12731 psi

-122.1 26.3

MPa MPa

≤ 0.9 x SMYS x T = 406 MPa


-95.8 OK

MPa

-13892 psi

SE1 SE2 SE

183.6 159.0 183.6

MPa MPa MPa

26623 psi 23064 psi 26623 psi

hence

OK

MPa

6365 psi


43.9


48975 psi 43.9 OK

MPa

6365 psi

SE1 SE2 SE

43.9 76.0 76.0

MPa MPa MPa

6365 psi 11025 psi 11025 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 9 of 10

-17711 psi 3819 psi

58770 psi

Without considering SB (Bending stress) and SX (Axial stress due to external loading): SL = SP + ST Longitudinal Stress check : hence SL ≤ 0.9 x SMYSxT

SE2 = [ SH2 + SL2 - SH SL ]1/2 SE = Max (SE1, SE2)

psi mm

32147 psi



ASME B31.8, PD 8010-1, API 5L

D

406.4 X65 65300 921.0 0.5 1 1 1.5

S P F E T A

mm psi psi(g)

mm


9.1 % 8.0 mm 14.7 mm OK


39.5


1.23 7.3 14.7 OK

52 53 54 55

Page 10 of 10

% mm mm

ATTACHMENT - 1B - Corroded condition Document No. 5272-NC-GEN-95-001 Rev. 0 Wall thickness calculation and minimum elastic bend radius for 52" Pipelines at Location Class 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14


F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1320.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 24.8

psi mm

450 MPa 0.976 inch

25.2 52

mm

0.992 inch

B. COMBINED /EQUIVALENT STRESS CHECK FOR CORRODED PIPE CONDITION Wall thickness (t) Hoop Stress = SH = PD/2t

23.7 176.9

mm MPa

0.933 inch 25663 psi


-122.1 53.1

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi



-69.0 OK

MPa

-10012 psi

SE1 SE2 SE

246.0 219.7 246.0

MPa MPa MPa

35676 psi 31872 psi 35676 psi

hence

OK

MPa

12832 psi


88.5


48975 psi 88.5 OK

MPa

12832 psi

SE1 SE2 SE

88.5 153.2 153.2

MPa MPa MPa

12832 psi 22225 psi 22225 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 1 of 5

-17711 psi 7699 psi

23094 psi



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1320.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 20.1

psi mm

450 MPa 0.792 inch

20.5 64

mm

0.807 inch


19.0 220.7

mm MPa

0.748 inch 32012 psi


-122.1 66.2

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi



-55.9 OK

MPa

-8108 psi

SE1 SE2 SE

276.6 253.3 276.6

MPa MPa MPa

40120 psi 36743 psi 40120 psi

hence

OK

MPa

16006 psi


110.4


48975 psi 110.4 OK

MPa

16006 psi

SE1 SE2 SE

110.4 191.1 191.1

MPa MPa MPa

16006 psi 27723 psi 27723 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 2 of 5

-17711 psi 9603 psi

18650 psi



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1320.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 14.4

psi mm

450 MPa 0.568 inch

14.7 90

mm

0.579 inch


13.2 317.7

mm MPa

0.520 inch 46077 psi


-122.1 95.3

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi



-26.8 OK

MPa

-3888 psi

SE1 SE2 SE

344.5 331.9 344.5

MPa MPa MPa

49966 psi 48139 psi 49966 psi

hence

OK

MPa

23039 psi


158.8


48975 psi 158.8 OK

MPa

23039 psi

SE1 SE2 SE

158.8 275.1 275.1

MPa MPa MPa

23039 psi 39904 psi 39904 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 3 of 5

-17711 psi 13823 psi

8804 psi



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

1066.8

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 16.5

psi mm

450 MPa 0.651 inch

16.9 63

mm

0.665 inch


15.4 219.9

mm MPa

0.606 inch 31900 psi


-122.1 66.0

MPa MPa


S tmin t

≤ 0.9 x SMYS x T = 406 MPa

58770 psi



-56.1 OK

MPa

-8142 psi

SE1 SE2 SE

276.1 252.7 276.1

MPa MPa MPa

40041 psi 36655 psi 40041 psi

hence

OK

MPa

15950 psi


110.0


48975 psi 110.0 OK

MPa

15950 psi

SE1 SE2 SE

110.0 190.5 190.5

MPa MPa MPa

15950 psi 27626 psi 27626 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 4 of 5

-17711 psi 9570 psi

18729 psi



F α E


P T1 T2 T3

63.5 13 100 65

15 16 17 18 19 20 21 22 23


E T k

1 1 0.9

24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40


41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

D A

bar g C C o C o o

406.4

mm

o 6.50E-06 in/in/ C 2.91E+07 Psi

921.0 55.4 212.0 149.0

psi g F F o F o o


X65 65300 7.2

S tmin t

B. COMBINED /EQUIVALENT STRESS CHECK FOR CORRODED PIPE CONDITION Wall thickness (t) Hoop Stress = SH = PD/2t B.1 Restrained Pipe (Underground) Thermal Stress = ST = α (T1 - T3) E Longitudinal Stress due to pressure = SP = 0.3 SH Longitudinal Stress, SL SL = SP + ST + SB + SX

Combined Stress, SE SE1 = | SH - SL |

Combined/Equivalent Stress check :

450 MPa 0.285 inch

14.7 28

mm

0.579 inch

13.2 97.8

mm MPa

0.520 inch 14178 psi

-122.1 29.3

MPa MPa

≤ 0.9 x SMYS x T = 406 MPa


-92.8 OK

MPa

-13458 psi

SE1 SE2 SE

190.5 165.0 190.5

MPa MPa MPa

27636 psi 23936 psi 27636 psi

hence

OK

MPa

7089 psi


48.9


48975 psi 48.9 OK

MPa

7089 psi

SE1 SE2 SE

48.9 84.7 84.7

MPa MPa MPa

7089 psi 12278 psi 12278 psi

hence

OK

61


62 63 64 65 66


67 68 69 70 71 72 73 74 75 Page 5 of 5

-17711 psi 4253 psi

58770 psi

Without considering SB (Bending stress) and SX (Axial stress due to external loading): SL = SP + ST Longitudinal Stress check : hence SL ≤ 0.9 x SMYSxT

SE2 = [ SH2 + SL2 - SH SL ]1/2 SE = Max (SE1, SE2)

psi mm

31134 psi

ATTACHMENT - 2 - Non Corroded condition Document No. 5272-NC-GEN-95-001 Rev.0 Upheaval Buckling Calculation (52" - 25.2 mm WT Pipeline, Location Class = 4) 1 2 3 4 5 6 7 8 9

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990

= = = =

10

Input Data Pipe diameter, D Nominal pipe thk, tn Corrosion Allowance Pipe thk, t Ext. coating thickness, tcor

11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14

Steel density Soil density, Y Ext. coating density, ρcor

=

900

kg/m 3 kg/m 3

15 16

Youngs modulus of steel, E Poisson ratio, n

= =

21108121200 0.3

17

Thermal expansion, a

=

0.0000117

Per oC

13

1.321 0.0252 0.0015 0.0252 0.0036

Unit m m m m

kg/m 2

52 25.2

Unit inch mm

3.550

mm

63.5

barg

207000

MPa

18

Installation (backfill) Temp, T1

=

13

o

19 20

Design Temp (U/G), T2 Pipeline Cover depth, H

= =

65 1.5

o

21 22 23

Fluid density Uplift coefficient, f Pipe Properties

= =

0 0.1

kg/m 3 (Consider zero for conservative reason) (for loose soil or 0.5 for dense material)

24 25 26

Pipe Internal Cross-Sectional Area Ai Pipe cross sectional area, A = Corrosion coating area, Acor =

27 28 29 30

Pipe Section modulus, I = Pipe flexural rigidity = Weight of pipe = Weight of corrosion coating, W cor

π/64(D4-d4) EI Sect area x density Sect area x density

= 0.021529677 m4 = 454451032.9 kg-m2 = 805.176349 kg/m = 13.2930155 kg/m

31 32 33 34

Pipe contents sectional area Weight of contents

= =

π/4(D-2t)2 Sect area x density

= 1.267566788 m2 0 kg/m

35

Axial stress due to hoop stress

=

P = PD*Ai + A{Eα(T2-T1) - ٧Sh } ٧(PDD)/(2t) = 5090737.898

kg/m 2

(+)

36

Axial force due to pressure

=

PD*Ai

= 820774.4156

kg/m 2

(-)

37 38 39 40 41

Thermal stress So the Axial force P

= =

Eα(T2-T1)

= 12842180.94 = 1615841.754

kg/m 2 kg

(-)

42 43 44 45

Pipeline Axial force

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 1.267566788 m2 = 0.102570236 m2 2 = 0.014770017 m

The required down force from OTC Paper Eq 12 W = [1.16 – 4.76 (EI Wo / δ)0.5 / P] P ( δ Wo / EI) 0.5

kg/m

The Uplift resistance from Soil and Pipe weight from OTC Paper Eq 13 Q = HDY [1 + f H / D]

46 47

Wo = Weight of Pipe + Weight of Corrosion Coating + Weight of Contents

48

Maximum downward force required in of imperfection length L imp from OTC Paper Eq. 4

49

W = 2δP(p/Limp)2 - 8δEI(p/Limp)4

50

Imperfection length is calculated by solving the quadtratic equation as follows

51 52 53

(π / Limp)4 – [P / 4*E*I] (π / Limp)2 + [ W / 8δEI ] = 0 Condition for Stability = |W| < |Wo + Q|

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70

Imperfection height, δ (m)

Req. Down force W

Uplift soil resistance Q

Wo

Q + Wo

Stability

Imperfection Length Limp (m)

0.1 0.2 0.3 0.4 0.5

-3100.46 -2770.97 -2518.15 -2305.01 -2117.23

3971.16 3971.16 3971.16 3971.16 3971.16

818.47 818.47 818.47 818.47 818.47

4789.63 4789.63 4789.63 4789.63 4789.63

Stable Stable Stable Stable Stable

53.891 63.514 69.769 74.472 78.257

Page 1 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= 0.017703224 m4 = 373681799.6 kg-m2 = 657.3807054 kg/m = 13.2930155 kg/m

31 32 33 34


= =


= 1.286394258 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 832965.5729

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 1384352.914

kg/m 2 kg

(-)

13

42 43 44 45

1.321 0.0205 0.0015 0.0205 0.0036


Unit m m m m

kg/m 2

52 20.5

Unit inch mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 1.286394258 m2 = 0.083742765 m2 2 = 0.014770017 m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70

W = 2δP(p/Limp)2 - 8δEI(p/Limp)4 Imperfection length is calculated by solving the quadtratic equation as follows (π / Limp)4 – [P / 4*E*I] (π / Limp)2 + [ W / 8δEI ] = 0 Condition for Stability = |W| < |Wo + Q|


Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-2512.09 -2230.30 -2014.07 -1831.78 -1671.18

2557.44 2557.44 2557.44 2557.44 2557.44

670.67 670.67 670.67 670.67 670.67

3228.11 3228.11 3228.11 3228.11 3228.11


53.889 63.480 69.700 74.368 78.116

Page 2 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= 0.01286357 m4 = 271525797.3 kg-m2 = 473.4927065 kg/m = 13.2930155 kg/m

31 32 33 34


= =


= 1.309819481 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 848133.8652

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 1096352.716

kg/m 2 kg

(-)

13

42 43 44 45

1.321 0.0147 0.0015 0.0147 0.0036


Unit m m m m

kg/m 2

52 14.7

Unit inch mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 1.309819481 m2 = 0.060317542 m2 2 = 0.014770017 m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-1778.62 -1555.57 -1384.42 -1240.13 -1113.02

2557.44 2557.44 2557.44 2557.44 2557.44

486.79 486.79 486.79 486.79 486.79

3044.23 3044.23 3044.23 3044.23 3044.23


53.796 63.300 69.434 74.014 77.674

Page 3 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= = = =

31 32 33 34


= =


= 0.838089741 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 542679.584

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 916768.6822

kg/m 2 kg

(-)

13

42 43 44 45

1.067 0.0169 0.0015 0.0169 0.0036


Unit m m m m

kg/m 2

42 16.9

Unit inch mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 0.838089741 m2 = 0.055742252 m2 2 = 0.011937243 m 0.007682506 162163268.9 437.5766809 10.74351881

m4 kg-m2 kg/m kg/m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-1574.84 -1343.23 -1165.51 -1015.69 -883.69

2100.24 2100.24 2100.24 2100.24 2100.24

448.32 448.32 448.32 448.32 448.32

2548.56 2548.56 2548.56 2548.56 2548.56


48.123 56.523 61.899 65.879 69.031

Page 4 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= = = =

31 32 33 34


= =


= 0.111627856 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 72281.23108

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 256013.0497

kg/m 2 kg

(-)

13

42 43 44 45

0.406 0.0147 0.0015 0.0147 0.0031


Unit m m m m

kg/m 2

16 14.7

Unit inch mm

3.050

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 0.111627856 m2 = 0.018089259 m2 2 = 0.003923292 m 0.000347415 7333288.085 142.0006838 3.530962432

m4 kg-m2 kg/m kg/m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-274.37 -101.08 31.89 143.99 242.75

911.52 911.52 911.52 911.52 911.52

145.53 145.53 145.53 145.53 145.53

1057.05 1057.05 1057.05 1057.05 1057.05


28.126 32.025 34.045 35.220 35.930

Page 5 of 10

ATTACHMENT - 2 - Corroded condition Document No. 5272-NC-GEN-95-001 Rev.0 Upheaval Buckling Calculation (52" - 25.2 mm WT Pipeline, Location Class = 4) 1 2 3 4 5 6 7 8 9


= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1.5

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= 0.020317655 m4 = 428867516.9 kg-m2 = 758.1259018 kg/m = 13.2930155 kg/m

31 32 33 34


= =


= 1.273560475 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 824655.4461

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 1542146.228

kg/m 2 kg

(-)

13

42 43 44 45

1.321 0.0252 0.0015 0.0237 0.0036


Unit m m m m

kg/m 2

52 25.2 1.5

Unit inch mm mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 1.273560475 m2 = 0.096576548 m2 2 = 0.014770017 m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-2913.26 -2599.00 -2357.86 -2154.56 -1975.46

3971.16 3971.16 3971.16 3971.16 3971.16

771.42 771.42 771.42 771.42 771.42

4742.58 4742.58 4742.58 4742.58 4742.58


53.895 63.510 69.756 74.449 78.225

Page 6 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= 0.01646413 m4 = 347526855.4 kg-m2 = 609.9825309 kg/m = 13.2930155 kg/m

31 32 33 34


= =


= 1.292432242 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 836875.2862

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 1310117.208

kg/m 2 kg

(-)

13

42 43 44 45

1.321 0.0205 0.0015 0.0190 0.0036


Unit m m m m

kg/m 2

52 20.5 1.5

Unit inch mm mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 1.292432242 m2 = 0.077704781 m2 2 = 0.014770017 m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-2323.19 -2056.61 -1852.05 -1679.60 -1527.66

2557.44 2557.44 2557.44 2557.44 2557.44

623.28 623.28 623.28 623.28 623.28

3180.72 3180.72 3180.72 3180.72 3180.72


53.877 63.453 69.657 74.308 78.039

Page 7 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= 0.011590517 m4 = 244654037.1 kg-m2 = 425.6654219 kg/m = 13.2930155 kg/m

31 32 33 34


= =


= 1.315912129 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 852078.9743

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 1021450.405

kg/m 2 kg

(-)

13

42 43 44 45

1.321 0.0147 0.0015 0.0132 0.0036


Unit m m m m

kg/m 2

52 14.7 1.5

Unit inch mm mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 1.315912129 m2 = 0.054224895 m2 2 = 0.014770017 m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-1587.55 -1379.66 -1220.14 -1085.66 -967.18

2557.44 2557.44 2557.44 2557.44 2557.44

438.96 438.96 438.96 438.96 438.96

2996.40 2996.40 2996.40 2996.40 2996.40


53.741 63.207 69.302 73.844 77.466

Page 8 of 10



= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= = = =

31 32 33 34


= =


= 0.842964707 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 545836.2206

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 856831.8389

kg/m 2 kg

(-)

13

42 43 44 45

1.067 0.0169 0.0015 0.0154 0.0036


Unit m m m m

kg/m 2

42 16.9 1.5

Unit inch mm mm

3.550

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 0.842964707 m2 = 0.050867286 m2 2 = 0.011937243 m 0.007030362 148397733.1 399.3081947 10.74351881

m4 kg-m2 kg/m kg/m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-1429.38 -1212.97 -1046.91 -906.91 -783.57

2100.24 2100.24 2100.24 2100.24 2100.24

410.05 410.05 410.05 410.05 410.05

2510.29 2510.29 2510.29 2510.29 2510.29


48.100 56.476 61.827 65.782 68.908

Page 9 of 10

ATTACHMENT - 2 - Non Corrroded Document No. 5272-NC-GEN-95-001 Rev.0 Upheaval Buckling Calculation (16" - 14.7 mm WT Pipeline, Location Class = 3) 1 2 3 4 5 6 7 8 9


= = = =

10


11

Design pressure, PD

=

647520

m kg/m 2

12

=

7850

kg/m 3

=

1800

14


=

900

kg/m 3 kg/m 3

15 16


= =

21108121200 0.3

17


=

0.0000117

Per C

18


=

13

o

19 20


= =

65 1

o

21 22 23


= =

0 0.1


24 25 26


27 28 29 30



= = = =

31 32 33 34


= =


= 0.113411495 m2 0 kg/m

35


=


kg/m 2

(+)

36


=

PD*Ai

= 73436.17255

kg/m 2

(-)

37 38 39 40 41


= =

Eα(T2-T1)

= 12842180.94 = 234076.1622

kg/m 2 kg

(-)

13

42 43 44 45

0.406 0.0147 0.0015 0.0132 0.0031


Unit m m m m

kg/m 2

16 14.7 1.5

Unit inch mm mm

3.050

mm

63.5

barg

207000

MPa

o

C

C m

π/4(d2) π/4(D2-d2) π/4((D+2tcor2)-D2)

= 0.113411495 m2 = 0.01630562 m2 2 = 0.003923292 m 0.000315474 6659062.551 127.9991159 3.530962432

m4 kg-m2 kg/m kg/m


kg/m


46 47


48


49 50 51 52 53

54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70



Req. Down force W


Wo

Q + Wo

Stability


0.1 0.2 0.3 0.4 0.5

-244.47 -86.40 34.89 137.14 227.23

911.52 911.52 911.52 911.52 911.52

131.53 131.53 131.53 131.53 131.53

1043.05 1043.05 1043.05 1043.05 1043.05


28.135 32.014 34.011 35.165 35.856

Page 10 of 10

ATTACHMENT - 3 Document No. 5272-NC-GEN-95-001 Rev. 0 Uncased Track Crossing Design Calculation 16-inch Pipeline, Location Class 3, API 5L X65 LSAW 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 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84

As per API RP 1102

Input Data Pipe Material Pipeline design factor, D.F.

= =

API 5L X65 LSAW 0.50

pipe size, Outside Diam., D Pipe nominal thickness, t SMYS of linepipe material Longitudinal t factor, Ej

= = = =

16 14.7 65300 1 0.72 1.5 13.2 63.5 65 13 2.07E+05 0.3 0.0000117 1800 3.40E+06 6.90E+07 1500 406.4 112 112 144

Allow. design factor for Eff. Stress, Fa =

Corrosion allowance Corroded wall thickness, tw Design pressure, P Design temperature (U/G), T2 Installation (backfill) temp., T1 Youngs modulus of steel, E Poisson ratio, ٧ Thermal expansion coefficient, a Soil density, g Modulus of soil reaction, E' Soil resilient modulus, Er Depth of cover, H Bored diameter, Bd Tandem Axle Load, Pt Single Axle Load, Ps Wheel area, A

= = = = = = = = = = = = = = = =

in mm psi

406.4 mm

mm mm barg

10197.16213

2 647519.8 kg/m

101971.6213

2 2.111E+10 kg/m

Mpa

N/m 2 N/m 2

mm mm kN kN Inch2

psig

kN/m 3

kg/m2

= 14177.66 = 32650.00

KHe = Be = Ee = SHe =

Check critical axle configurations (figure A-1) Pavement type : No Pavement Critical Axle : Tandem Axles

17.65 3.47E+05 7.04E+06

kg/m

psi psi

= Hence

0.00689

1279 0.96 0.83 745414.1 kg/m2

R = 1.1

Impact factor and applied surface pressure w Ref. Fig 7 H = 1.50 Applied pressure (w) = Pt /A for Tandem Axles

Soil Type = Loose Sand

2

Construction type: Trenched Trenched 11428.57 kg 11428.57 kg 2 0.093 m

Circumferential stress due to earth load SHe tw/D Ref. Fig 3 = 0.032 Ref. Fig 4 H/Bd = 3.7 Ref. Fig 5 Bd/D = 1.00 SHe = KHe x Be x Ee x g x D Ref. Equation 1

L = 1.00

9.81E-06

97.75 OK

MPa

7.31

MPa

1.21

MPa

(Refer table 2)

Fi = 1.5 2 w = 123016.1 kg/m

Cyclic circumferential stress ΔSHh tw/D Ref fig 14 = 0.032 Ref fig 15 ΔSHh = KHh x GHh x R x L x Fi x w Ref. Equation 5

KHh = GHh = ΔSHh =

9.80 1.05 20.48

MPa

Cyclic Longitudinal stress ΔSLh tw/D Ref fig 16 = 0.032 Ref fig 17 ΔSLh = KLh x GLh x R x L x Fi x w Ref. Equation 6

KLH = GLh = ΔSLh =

8.10 1.04 16.77

MPa

Circumferential Stress due to Internal Load, SHi SHi = P(D-tw)/2tw Ref. Equation 7

SHi = 13717.16 psi

Principal stresses S1, S2, & S3 S1(max circum stress) = SHe + ΔSHh + SHi Ref. Equation 9

S1 =

122.37

MPa

Ref. Equation 10, S2 = Maximum longitudinal stress S2 = ΔSLh - Ea(T2-T1) + ٧(SHe + SHi) S2 =

-78.60

MPa

Ref. Equation 11, Radial stress S3 = -P

-6.35

MPa

S3 =

Allowable effective stress (SMYS x Fa)

= [0.5 {(S1-S2)2 + (S2-S3)2 + (S3-S1)2}] 0.5 Seff = 176.32 MPa = 324.16 MPa

Ratio of Seff / Allowable

=

Check for Fatigue Girth weld fatigue endurance limit (SFG) = Allowable SFG = SFG x D.F = ΔSLh < SFG x D.F Refer Equation 17 Ratio of Actual (ΔSLh)/ Allowable = Longitudinal weld endurance limit (SFL) Allowable SFL = SFL x D.F. ΔSHh < SFL x D.F. Refer Equation 18 Ratio of Actual (ΔSHh) / Allowable SFL

920.99

per deg C kg/m 3

Check for Allowable stress Sh < D.F x Ej x SMYS Hoop stress Shi(Barlow) = PD/2tw D.F x Ej x SMYS

Ref. Equation 12, Effective stress Seff

14.504

deg C deg C

= = =

9.81E-06

94.58

0.544

82.74 41.37

Result

Design OK

Result

Design OK

Result

Design OK

MPa (from table 3 of API 1102) MPa

0.405 82.74 41.37

MPa


0.495

NOTE: 1. This spread sheet is only for LOOSE SAND soil type. 2. Exact data are only available for depth in beetween 3 ft (0.9m) to 10 ft (3m). Extrapolation has been done for any unavailable data.

Page 1 of 1

ATTACHMENT - 3 Document No. 5272-NC-GEN-95-001 Rev. 0 Asphalt Road Crossing Design Calculation 42-inch Pipeline, Location Class 3, API 5L X65 LSAW 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 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84

As per API RP 1102


= =



= = = =

42 16.9 65300 1

= = = = = = = = = = = = = = = =

0.72 1.5 15.4 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1118 112 112 144


Corrosion allowance Corroded wall thickness, tw Design pressure, P Design temperature (U/G), T2 Installation (backfill) temp., T 1 Youngs modulus of steel, E Poisson ratio, ٧ Thermal expansion coefficient, a Soil density, g Modulus of soil reaction, E' Soil resilient modulus, Er Depth of cover, H Bored diameter, Bd Tandem Axle Load, Pt Single Axle Load, Ps Wheel area, A

in mm psi

1067 mm

mm mm barg

10197.16213

2 647519.8 kg/m

101971.6213

2 2.111E+10 kg/m

Mpa

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 31905.71 = 32650.00


Check critical axle configurations (figure A-1) Pavement Pavement type : Flexible Pavement Critical Axle : Tandem Axles


kg/m2 kg/m2

psi psi

= Hence

0.00689

4789 0.61 0.91 5105103

R = 1.0


kN/m3

Construction type: Bored Bored 11428.57 kg 11428.57 kg 2 0.093 m


kg/m2

L = 1.00

219.98 OK

MPa

50.06

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.70 0.66 16.97

MPa


KLH = GLh = ΔSLh =

10.10 0.62 10.95

MPa


SHi = 31445.22 psi


S1 =

283.84

MPa

S2 = Maximum longitudinal stress Ref. Equation 10, S2 = ΔSLh - Ea(T2-T1) + ٧(SHe + SHi) S2 =

-34.92

MPa

-6.35

MPa


S3 =


= [0.5 {(S1-S2) + (S2-S3) + (S3-S1)2}] 0.5 Seff = 305.48 MPa = 324.16 MPa


=

2

Check for Fatigue Girth weld fatigue endurance limit (SFG) = Allowable SFG = SFG x D.F = ΔS < S x D.F Refer Equation 17 Lh FG Ratio of Actual (ΔSLh)/ Allowable = Longitudinal weld endurance limit (SFL) Allowable SFL = SFL x D.F. ΔSHh < SFL x D.F. Refer Equation 18 Ratio of Actual (ΔSHh) / Allowable SFL

920.99

per deg C kg/m3



14.504

deg C deg C

= = =

9.81E-06

216.81

MPa

2

0.942

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.265 82.74 41.37

Result


0.410

Page 1 of 1


As per API RP 1102


= =



= = = =

52 20.5 65300 1 0.72 1.5 19 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1372 112 112 144



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 32016.51 = 32650.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

4789 0.53 0.89 5370782

R = 1.0


kN/m3



kg/m2

L = 1.00

220.75 OK

MPa

52.67

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.70 0.54 13.89

MPa


KLH = GLh = ΔSLh =

10.10 0.36 6.36

MPa


SHi = 31556.01 psi


S1 =

284.13

MPa


-38.51

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

217.57

MPa

2

0.950

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.154 82.74 41.37

Result


0.336

Page 1 of 1


As per API RP 1102


= =



= = = =

52 20.5 65300 1 0.72 1.5 19 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1372 112 112 144


Corrosion allowance Corroded wall thickness, tw Design pressure, P Design temperature (U/G), T2 Installation (backfill) temp., T 1 Youngs modulus of steel, E Poisson ratio, ٧ Thermal expansion coefficient, a Soil density, g Modulus of soil reaction, E' Soil resilient modulus, Er Depth of cover, H Bored diameter, Bd Tandem Axle Load, Pt Single Axle Load, Ps Wheel area, A

= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm mm barg

10197.16213

2 647519.8 kg/m

101971.6213

2 2.111E+10 kg/m

Mpa

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 32016.51 = 32650.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

4789 0.53 0.89 5370782

R = 1.0


kN/m3



kg/m2

L = 1.00

220.75 OK

MPa

52.67

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.70 0.54 13.89

MPa


KLH = GLh = ΔSLh =

10.10 0.36 6.36

MPa


SHi = 31556.01 psi


S1 =

284.13

MPa


-38.51

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

deg C deg C

= = =

9.81E-06

217.57

MPa

2

0.950

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.154 82.74 41.37

Result


0.336

Page 1 of 1


As per API RP 1102


= =



= = = =

52 25.2 65300 1 0.72 1.5 23.7 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1372 112 112 144



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 25667.24 = 26120.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

3742 0.53 0.89 4196590

R = 1.0


kN/m3



kg/m2

L = 1.00

176.97 OK

MPa

41.15

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.80 0.54 13.98

MPa


KLH = GLh = ΔSLh =

10.10 0.36 6.36

MPa


SHi = 25206.75 psi


S1 =

228.93

MPa


-55.09

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

173.79

MPa

2

0.812

82.74 33.096

Design OK

Result

Design OK

Result

Design OK


0.192 82.74 33.10

Result


0.422

Page 1 of 1

ATTACHMENT - 3 Document No. 5272-NC-GEN-95-001 Rig Crossing Design Calculation

Rev. 0

42-inch Pipeline, Location Class 3, API 5L X65 LSAW 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 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84

As per API RP 1102


= =



= = = =

42 16.9 65300 1

= = = = = = = = = = = = = = = =

0.72 1.5 15.4 63.5 65 13 2.07E+05 0.3 0.0000117 1800 3.40E+06 6.90E+07 2000 1067 550 1100 625



in mm psi

1067 mm

mm kg/m2

barg

10197.16213

647519.8

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

kN/m3

psig


kg/m2 kg/m2

N/m2 2 N/m

3.47E+05 7.04E+06

mm mm kN kN Inch2


= 31905.71 = 32650.00



Check critical axle configurations (figure A-1) No Pavement Pavement type : Pavement Critical Axle : Single Axle

psi psi

= Hence

0.00689

4789 0.63 0.83 4808969

R = 1.1

Impact factor and applied surface pressure w Ref. Fig 7 H = 2.00 Applied pressure (w) = Pt /A for Single Axle

kg/m2

L = 0.65

219.98 OK

MPa

47.16

MPa

2.73

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 w = 278367.9

kg/m2


KHh = GHh = ΔSHh =

14.70 0.66 27.46

MPa


KLH = GLh = ΔSLh =

10.10 0.62 17.72

MPa


SHi = 31445.22 psi


S1 =

291.43

MPa

Ref. Equation 10, S2 = ΔSLh - Ea(T2-T1) + ٧(SHe + SHi)

S2 =

-29.03

MPa

-6.35

MPa

S2 = Maximum longitudinal stress


S3 =




=

2

Check for Fatigue Girth weld fatigue endurance limit (SFG) = Allowable SFG = SFG x D.F = ΔSLh < SFG x D.F Refer Equation 17 Ratio of Actual (ΔSLh)/ Allowable = Longitudinal weld endurance limit (SFL) Allowable SFL = SFL x D.F. ΔSHh < SFL x D.F. Refer Equation 18 Ratio of Actual (ΔSHh) / Allowable SFL

920.99

per deg C kg/m3



14.504

= = =

9.81E-06

216.81

MPa

2

0.955

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.428 82.74 41.37

Result


0.664

Page 1 of 1


Rev. 0


As per API RP 1102


= =



= = = =

52 20.5 65300 1 0.72 1.5 19 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1321 550 1100 625



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

kN/m3

psig


kg/m2

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2


= 32016.51 = 32650.00



Check critical axle configurations (figure A-1) Pavement type : No Pavement Critical Axle : Single Axle

kg/m2

psi psi

= Hence

0.00689

4789 0.56 0.83 5292219

R = 1.1


kg/m2

L = 0.65

220.75 OK

MPa

51.90

MPa

2.73

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 278367.9 kg/m


KHh = GHh = ΔSHh =

14.70 0.54 22.47

MPa


KLH = GLh = ΔSLh =

10.10 0.36 10.29

MPa


SHi = 31556.01 psi


S1 =

291.94

MPa


-34.81

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

217.57

MPa

2

0.967

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.249 82.74 41.37

Result


0.543

Page 1 of 1


Rev. 0


As per API RP 1102


= =



= = = =

52 20.5 65300 1 0.72 1.5 19 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1321 550 1100 625



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

kN/m3

psig


kg/m2

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2


= 32016.51 = 32650.00




kg/m2

psi psi

= Hence

0.00689

4789 0.56 0.83 5292219

R = 1.1


kg/m2

L = 0.65

220.75 OK

MPa

51.90

MPa

2.73

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 278367.9 kg/m


KHh = GHh = ΔSHh =

14.70 0.54 22.47

MPa


KLH = GLh = ΔSLh =

10.10 0.36 10.29

MPa


SHi = 31556.01 psi


S1 =

291.94

MPa


-34.81

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3

Check for Allowable stress Sh

14.504

= = =

9.81E-06

217.57

MPa

2

0.967

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.249 82.74 41.37

Result


0.543

Page 1 of 1


Rev. 0


As per API RP 1102


= =



= = = =

52 25.2 65300 1 0.72 1.5 23.7 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1321 550 1100 625



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

kN/m3

psig


kg/m2

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2


= 25667.24 = 26120.00




kg/m2

psi psi

= Hence

0.00689

3742 0.56 0.83 4135202

R = 1.1


kg/m2

L = 0.65

176.97 OK

MPa

40.55

MPa

2.73

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 278367.9 kg/m


KHh = GHh = ΔSHh =

14.80 0.54 22.62

MPa


KLH = GLh = ΔSLh =

10.10 0.36 10.29

MPa


SHi = 25206.75 psi


S1 =

236.97

MPa


-51.34

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

173.79

MPa

2

0.829

82.74 33.096

Design OK

Result

Design OK

Result

Design OK


0.311 82.74 33.10

Result


0.683

Page 1 of 1


As per API RP 1102


= =



= = = =

42 16.9 65300 1

= = = = = = = = = = = = = = = =

0.72 1.5 15.4 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 1500 1067 112 112 144



in mm psi

1067 mm

mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 31905.71 = 32650.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

4789 0.53 0.83 4045640

R = 1.1


kN/m3



kg/m2

L = 1.00

219.98 OK

MPa

39.67

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.5 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.70 0.85 24.87

MPa


KLH = GLh = ΔSLh =

10.10 0.72 14.48

MPa


SHi = 31445.22 psi


S1 =

281.35

MPa


-34.52

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

216.81

MPa

2

0.934

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.350 82.74 41.37

Result


0.601

Page 1 of 1


As per API RP 1102


= =



= = = =

52 20.5 65300 1 0.72 1.5 19 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 1500 1321 112 112 144



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 32016.51 = 32650.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

4789 0.44 0.83 4158172

R = 1.1


kN/m3



kg/m2

L = 1.00

220.75 OK

MPa

40.78

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.5 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.70 0.75 21.95

MPa


KLH = GLh = ΔSLh =

10.10 0.45 9.05

MPa


SHi = 31556.01 psi


S1 =

280.29

MPa


-39.39

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3

Check for Allowable stress Sh [ D.F x Ej x SMYS Hoop stress Shi(Barlow) = PD/2tw D.F x Ej x SMYS


14.504

= = =

9.81E-06

217.57

MPa

2

0.939

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.219 82.74 41.37

Result


0.530

Page 1 of 1


As per API RP 1102


= =



= = = =

52 20.5 65300 1 0.72 1.5 19 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 1500 1321 112 112 144



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 32016.51 = 32650.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

4789 0.44 0.83 4158172

R = 1.1


kN/m3



kg/m2

L = 1.00

220.75 OK

MPa

40.78

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.5 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.70 0.75 21.95

MPa


KLH = GLh = ΔSLh =

10.10 0.45 9.05

MPa


SHi = 31556.01 psi


S1 =

280.29

MPa


-39.39

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

217.57

MPa

2

0.939

82.74 41.37

Design OK

Result

Design OK

Result

Design OK


0.219 82.74 41.37

Result


0.530

Page 1 of 1


As per API RP 1102


= =



= = = =

52 25.2 65300 1 0.72 1.5 23.7 63.5 65 13 2.07E+05 0.3 1.17E-05 1800 3.40E+06 6.90E+07 2000 1321 112 112 144



= = = = = = = = = = = = = = = =

in mm psi

1321 mm

mm mm barg

10197.16213

2 647519.8 kg/m

deg C deg C Mpa

101971.6213

2 2.111E+10 kg/m

17.65

N/m2 N/m2

3.47E+05 7.04E+06

mm mm kN kN Inch2

psig

= 25667.24 = 26120.00




kg/m2 kg/m2

psi psi

= Hence

0.00689

3742 0.56 0.83 4135202

R = 1.1


kN/m3



kg/m2

L = 1.00

176.97 OK

MPa

40.55

MPa

1.21

MPa

9.81E-06

(Refer table 2)

Fi = 1.45 2 w = 123016.1 kg/m


KHh = GHh = ΔSHh =

14.80 0.54 15.38

MPa


KLH = GLh = ΔSLh =

10.10 0.36 7.00

MPa


SHi = 25206.75 psi


S1 =

229.72

MPa


-54.64

MPa

-6.35

MPa


S3 =




=

2


920.99

per deg C kg/m3



14.504

= = =

9.81E-06

173.79

MPa

2

0.813

82.74 33.096

Design OK

Result

Design OK

Result

Design OK


0.211 82.74 33.10

Result


0.465

Page 1 of 1

Attachment-4 Document No. 5272-NC-GEN-95-001 Rev. 0 52'' Pipeline Buoyancy Check (WT - 25.2mm) Check for Pipeline Stability in High Water Areas 1 2

Input Parameters

3

Pipe OD, Do

4

Pipe Wall thickness, tp

5

Corrosion Allowances, tca

6

Water Density, γw

3 1025 kg/m

7

Dry Soil/ Backfill Density, γd

3 1800 kg/m

8

Pipe Density, γp

3 7850 kg/m

9

Pipe Content Density, γc (Assumed zero for conservative case)

52 in

1.3208 m

0.992 in

0.0252 m

1.5 mm

0.0015 m

3 0 kg/m

10 11

Calculations

12

Check for Non-corroded condition

13

Outside Area of Pipe, Ao = p Do2/ 4

14

Inside Area of Pipe, A i = p D i2/ 4

15

Effective Area of Pipe, A e = p

2 (Do

2 1.3701 m 2 1.2676 m 2 0.1026 m

2)

- Di / 4

16 17

Weight of water displaced by pipe per unit length of pipe, W w

18

W w = γw . Ao

19

Weight of pipe per unit length of pipe, W p

20

W p = γp . Ae

21

Weight of pipe contents per unit length of pipe, W c

22

W c = γc . A i

23

Factor of safety against flotation

24

FS = W p/ W w

1404.39 kg/ m

805.08 kg/ m

0.00 kg/ m

0.573

25 26

Check for Corroded condition

27

Outside Area of Pipe, Ao = p Do / 4

1.3701 m

28

Inside Area of Pipe, A i = p D i / 4

2 1.2736 m

29

Effective Area of Pipe, A e = p (Do2 - Di2)/ 4

2 0.0966 m

2

2

2

30 31


32

W w = γw . Ao

33


34

W p = γp . Ae

35


36

W c = γc . A i

37


38

FS = W p/ W w

39

Assumptions:

40

1- To simplify calculations, the adherence of the soil to the pipe walls is neglected.

41

2- Pipeline content considered to be empty in order to calculate largest upward force.

1404.39 kg/ m

758.03 kg/ m

0.00 kg/ m

0.540

42

Page 1 of 5


Input Parameters

3

Pipe OD, Do

4


5


6

Water Density, γw

3 1025 kg/m

7


3 1800 kg/m

8

Pipe Density, γp

3 7850 kg/m

9


52 in

1.3208 m

0.807 in

0.0205 m

1.5 mm

0.0015 m

3 0 kg/m

10 11

Calculations

12


13


2 1.3701 m

14


2 1.2864 m

15


2 0.0837 m

2

16 17


18

W w = γw . Ao

19


20

W p = γp . Ae

21


22

W c = γc . A i

23


24

FS = W p/ W w

1404.39 kg/ m

657.31 kg/ m

0.00 kg/ m

0.468

25 26


27


28


29

Effective Area of Pipe, A e = p (Do - Di / 4

2 1.3701 m 2 1.2924 m

2

2 0.0777 m

2)

30 31


32

W w = γw . Ao

33


34

W p = γp . Ae

35


36

W c = γc . A i

37


38

FS = W p/ W w

39

Assumptions:

40


41


1404.39 kg/ m

609.91 kg/ m

0.00 kg/ m

0.434

42

Page 2 of 5


Input Parameters

3

Pipe OD, Do

4


5


6

Water Density, γw

3 1025 kg/m

7


3 1800 kg/m

8

Pipe Density, γp

3 7850 kg/m

9


52 in

1.3208 m

0.579 in

0.0147 m

1.5 mm

0.0015 m

3 0 kg/m

10 11

Calculations

12


13


2 1.3701 m

14


2 1.3098 m

15


2 0.0603 m

16 17


18

W w = γw . Ao

19


20

W p = γp . Ae

21


22

W c = γc . A i

23


24

FS = W p/ W w

1404.39 kg/ m

473.70 kg/ m

0.00 kg/ m

0.337

25 26


27


28


29


2 1.3701 m 2 1.3159 m

2

2 0.0543 m

2)

30 31


32

W w = γw . Ao

33


34

W p = γp . Ae

35


36

W c = γc . A i

37


38

FS = W p/ W w

1404.39 kg/ m

425.88 kg/ m

0.00 kg/ m

0.303

39

Assumptions:

40


41


42

Page 3 of 5


Input Parameters

3

Pipe OD, Do

4


5


6

Water Density, γw

3 1025 kg/m

7


3 1800 kg/m

8

Pipe Density, γp

3 7850 kg/m

9


42 in

1.0668 m

0.665 in

0.0169 m

1.5 mm

0.0015 m

3 0 kg/m

10 11

Calculations

12


13


2 0.8938 m

14


2 0.8381 m

15


2 0.0557 m

2

16 17


18

W w = γw . Ao

19


20

W p = γp . Ae

21


22

W c = γc . A i

23


24

FS = W p/ W w

916.18 kg/ m

437.35 kg/ m

0.00 kg/ m

0.477

25 26


27


28


29


2 0.8938 m 2 0.8430 m

2

2 0.0508 m

2)

30 31


32

W w = γw . Ao

33


34

W p = γp . Ae

35


36

W c = γc . A i

37


38

FS = W p/ W w

39

Assumptions:

40


41


916.18 kg/ m

399.08 kg/ m

0.00 kg/ m

0.436

42

Page 4 of 5


Input Parameters

3

Pipe OD, Do

4


5


6

Water Density, γw

3 1025 kg/m

7


3 1800 kg/m

8

Pipe Density, γp

3 7850 kg/m

9


16 in

0.4064 m

0.579 in

0.0147 m

1.5 mm

0.0015 m

3 0 kg/m

10 11

Calculations

12


13


2 0.1297 m

14


2 0.1116 m

15


2 0.0181 m

2

16 17


18

W w = γw . Ao

19


20

W p = γp . Ae

21


22

W c = γc . A i

23


24

FS = W p/ W w

132.96 kg/ m

142.00 kg/ m

0.00 kg/ m

1.068

25 26


27


28


29


2 0.1297 m 2 0.1134 m

2

2 0.0163 m

2)

30 31


32

W w = γw . Ao

33


34

W p = γp . Ae

35


36

W c = γc . A i

37


38

FS = W p/ W w

39

Assumptions:

40


41


132.96 kg/ m

128.00 kg/ m

0.00 kg/ m

0.963

42

Page 5 of 5

Attachment-5 Document No. 5272-NC-GEN-95-001 Rev. 0 Anchor Load, Active Length and Free Expansion Calculation (52-inch - 25.2mm, Non-Compacted Soil, Non-Corroded Pipeline) 1 2 3

In put Data

4 5 6 7 8

Pipe diameter, D Nominal pipe thk, t Corrosion allowance, CA Effective Wall Thickness tc Design pressure, PD

= = = = =

9 10 11

Steel (pipe) density Soil density, g Youngs modulus of steel,E

= 7850 = 1600 = 207000

12 13 14 15

Poisson ratio, ٧ Thermal expansion, a Installation Temp, T1 Design Temp, T2

= = = =

16 17 18

Pipeline Cover depth, H Fluid density Coefficient of friction, m

= 1.5 =0 = 0.3

19 20

Pipe Internal Cross-Sectional Area Ai π/4(d2) π/4(D2-d2) Pipe cross sectional area

= =

1.2680 0.1026

m2 m2

21 22 23

Weight, Wg

=

805.30

kg/m

24

Axial stress due hoop stress = ٧Sh = ٧(PDD)/(2t)

= 5091509.8

kg/m2

25

Axial Force due to pressure PD.Ai

= 821033.04

26

Thermal stress

= 12842184

kg kg/m2

27

So the Axial force P

= 1616144.2

kg

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0252 0.0015 0.0252 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa

0.3 0.0000117 Per Deg C 13 Deg C 65 Deg C m kg/m3 (Consider zero for conservative reason)

P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

Eα(T2-T1)

The Axial frictional force

f=m (2g DH + Wg)

Pipeline Active length

La=(P) / f

= 2143.83 753.86

=

End expansion due to pressure effect ΔLp = [(0.5 – ٧) Sh x La] / E

= 36.37

mm

End expansion due to temperature effect ΔLt = α (T2-T1) x La

= 458.65

mm

Toal expansion at A/G end (ΔL) = ΔLp + ΔLt

=

35 36 37 38 39 40

Unit

495.02 mm

41

Page 1 of 15

kg/m m

Attachment-5 Document No. 5272-NC-GEN-95-001 Rev. 0 Anchor Load, Active Length and Free Expansion Calculation (52-inch - 25.2mm, Compacted Soil, Non-Corroded Pipeline) 1 2 3

In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.2680 0.1026

m2 m2

21 22 23

Weight, Wg

=

805.30

kg/m

24


= 5091509.8

kg/m2

25


= 821033.04

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0252 0.0015 0.0252 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1616144.2

= 2381.61 678.59

=


= 32.74

mm


= 412.86

mm


=

35 36 37 38 39 40

Unit

445.59 mm

41

Page 2 of 15

kg/m m

Attachment-5 Document No. 5272-NC-GEN-95-001 Rev. 0 Anchor Load, Active Length and Free Expansion Calculation (52-inch - 25.2mm, Compacted Soil, Corroded Pipeline) 1 2 3

In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.2740 0.0966

m2 m2

21 22 23

Weight, Wg

=

758.24

kg/m

24


= 5413757.3

kg/m2

25


= 824914.68

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0252 0.0015 0.0237 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1542437.1

= 2367.49 651.51

=


= 33.42

mm


= 396.38

mm


=

35 36 37 38 39 40

Unit

429.80 mm

41

Page 3 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1600 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.2868 0.0838

m2 m2

21 22 23

Weight, Wg

=

657.48

kg/m

24


= 6258831.6

kg/m2

25


= 833226.11

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0205 0.0015 0.0205 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1384619

= 2099.48 659.50

=


= 39.11

mm


= 401.24

mm


=

35 36 37 38 39 40

Unit

440.35 mm

41

Page 4 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.2868 0.0838

m2 m2

21 22 23

Weight, Wg

=

657.48

kg/m

24


= 6258831.6

kg/m2

25


= 833226.11

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0205 0.0015 0.0205 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1384619

= 2337.26 592.41

=


= 35.13

mm


= 360.42

mm


=

35 36 37 38 39 40

Unit

395.55 mm

41

Page 5 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.2928 0.0777

m2 m2

21 22 23

Weight, Wg

=

610.08

kg/m

24


= 6752949.9

kg/m2

25


= 837136.43

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0205 0.0015 0.019 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1310371.7

= 2323.04 564.08

=


= 36.09

mm


= 343.18

mm


=

35 36 37 38 39 40

Unit

379.28 mm

41

Page 6 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1600 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.3102 0.0603

m2 m2

21 22 23

Weight, Wg

=

473.57

kg/m

24


= 8728302.5

kg/m2

25


= 848396.76

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0147 0.0015 0.0147 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1096574

= 2044.31 536.40

=


= 44.36

mm


= 326.35

mm


=

35 36 37 38 39 40

Unit

370.71 mm

41

Page 7 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.3102 0.0603

m2 m2

21 22 23

Weight, Wg

=

473.57

kg/m

24


= 8728302.5

kg/m2

25


= 848396.76

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0147 0.0015 0.0147 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1096574

= 2282.09 480.51

=


= 39.74

mm


= 292.34

mm


=

35 36 37 38 39 40

Unit

332.08 mm

41

Page 8 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

1.3163 0.0542

m2 m2

21 22 23

Weight, Wg

=

425.73

kg/m

24


= 9720155.1

kg/m2

25


= 852342.49

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.321 0.0147 0.0015 0.0132 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 1021660

= 2267.74 450.52

=


= 41.49

mm


= 274.10

mm


=

35 36 37 38 39 40

Unit

315.59 mm

41

Page 9 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1600 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

0.8381 0.0557

m2 m2

21 22 23

Weight, Wg

=

437.58

kg/m

24


= 6131131.2

kg/m2

25


= 542679.7

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.0668 0.0169 0.0015 0.0169 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 916768.87

= 1667.47 549.80

=


= 31.94

mm


= 334.50

mm


=

35 36 37 38 39 40

Unit

366.44 mm

41

Page 10 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

0.8381 0.0557

m2 m2

21 22 23

Weight, Wg

=

437.58

kg/m

24


= 6131131.2

kg/m2

25


= 542679.7

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.0668 0.0169 0.0015 0.0169 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 916768.87

= 1859.49 493.02

=


= 28.64

mm


= 299.95

mm


=

35 36 37 38 39 40

Unit

328.60 mm

41

Page 11 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

0.8430 0.0509

m2 m2

21 22 23

Weight, Wg

=

399.31

kg/m

24


= 6728319.3

kg/m2

25


= 545836.33

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

1.0668 0.0169 0.0015 0.0154 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 856832.02

= 1848.01 463.65

=


= 29.56

mm


= 282.09

mm


=

35 36 37 38 39 40

Unit

311.64 mm

41

Page 12 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1600 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

0.1116 0.0181

m2 m2

21 22 23

Weight, Wg

=

142.00

kg/m

24


= 2685224.9

kg/m2

25


= 72281.246

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

0.4064 0.0147 0.0015 0.0147 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 256013.1

= 627.82 407.78

=


= 10.38

mm


= 248.10

mm


=

35 36 37 38 39 40

Unit

258.47 mm

41

Page 13 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

0.1116 0.0181

m2 m2

21 22 23

Weight, Wg

=

142.00

kg/m

24


= 2685224.9

kg/m2

25


= 72281.246

kg

26 27


Eα(T2-T1)


f=m (2g DH + Wg)


La=(P) / f

28 29 30 31 32 33 34


A x density(pipe)

0.4064 0.0147 0.0015 0.0147 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}

kg/m2 kg

= 12842184 = 256013.1

= 700.97 365.23

=


= 9.29

mm


= 222.20

mm


=

35 36 37 38 39 40

Unit

231.50 mm

41

Page 14 of 15

kg/m m


In put Data

4 5 6 7 8


= = = = =

9 10 11


= 7850 = 1800 = 207000

12 13 14 15


= = = =

16 17 18


= 1.5 =0 = 0.3

19 20


= =

0.1134 0.0163

m2 m2

21 22 23

Weight, Wg

=

128.00

kg/m

24


= 2990364.1

kg/m2

25 26

Axial Force due to pressure PD.Ai Eα(T2-T1) Thermal stress

= 73436.188 = 12842184

kg kg/m2

27

So the Axial force P

=

28 29 30 31 32 33 34


A x density(pipe)

0.4064 0.0147 0.0015 0.0132 63.5

Unit

Conv.fact

m m m m Barg

10197.16213

2 6E+05 Kg/m

101971.6213

2 2E+10 kg/m

kg/m3 kg/m3 MPa


P = PD*Ai + A*{Eα(T2-T1) - ٧(PDD)/(2t)}


f=m (2g DH + Wg)


La=(P) / f

234076.21

kg

= 696.77 335.95

=


= 9.52

mm


= 204.39

mm


=

35 36 37 38 39 40

Unit

213.91 mm

41

Page 15 of 15

kg/m m

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