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ATTACHMENT - 1 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" Hassyan Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Non Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0238 0 960 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.938

Unit inch inch

m

703.0696

674947

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.08949 = 0.01599 = 3.4E+08 702.499 = 1.07796 0

= = = =

5179785 8632975 1.2E+07 1347774

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -2630.65 0.2 -2335.21 0.3 -2108.51 0.4 -1917.40 0.5 -1749.02

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 1 of 6

Wo 702.50 702.50 702.50 702.50 702.50

Q + Wo 3041.89 2813.22 2587.75 2365.48 2146.40

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 1 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" Hassyan Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0238 0.001 960 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.938

Unit inch inch

m

703.0696

674947

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.08581 = 0.01536 = 3.2E+08 673.583 = 1.08165 0

= = = =

5179785 8632975 1.2E+07 1292296

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -2522.92 0.2 -2239.88 0.3 -2022.69 0.4 -1839.59 0.5 -1678.28

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 2 of 6

Wo 673.58 673.58 673.58 673.58 673.58

Q + Wo 3012.97 2784.30 2558.83 2336.56 2117.49

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 2 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" RM2 Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Non Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0159 0 600 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.625

Unit inch inch

m

703.0696

421842

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.06001 = 0.01086 = 2.3E+08 471.103 = 1.10744 0

= = = =

4859617 8099362 1.2E+07 891022

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -1773.98 0.2 -1579.94 0.3 -1431.04 0.4 -1305.51 0.5 -1194.92

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 3 of 6

Wo 471.10 471.10 471.10 471.10 471.10

Q + Wo 2810.50 2581.82 2356.35 2134.08 1915.01

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 2 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" RM2 Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0159 0.001 600 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.625

Unit inch inch

m

703.0696

421842

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.05628 = 0.01021 = 2.2E+08 441.794 = 1.11117 0

= = = =

4859617 8099362 1.2E+07 835588

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -1663.98 0.2 -1482.15 0.3 -1342.63 0.4 -1225.01 0.5 -1121.39

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 4 of 6

Wo 441.79 441.79 441.79 441.79 441.79

Q + Wo 2781.19 2552.51 2327.04 2104.77 1885.70

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 3 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (24" DFO Pipeline, D.F = 0.72) 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Non Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

0.610 0.0095 0 720 7850 1600 207000 0.3 0.0000117 13 60 1 0 0.1

Unit m

39.37008

Conv.fact 39.37008

24 0.375

Unit inch inch

m

703.0696

506210

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.01796 = 0.00081 = 1.7E+07 140.958 = 0.27391 0

= = = =

4859617 8099362 1.2E+07 266601

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -389.89 0.2 -273.47 0.3 -184.13 0.4 -108.82 0.5 -42.47

Uplift soil resistance(Q) 1007.42 882.69 761.15 642.82 527.68

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 5 of 6

Wo 140.96 140.96 140.96 140.96 140.96

Q + Wo 1148.38 1023.65 902.11 783.77 668.64

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 3 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (24" DFO Pipeline, D.F = 0.72) 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

0.610 0.0095 0.001 720 7850 1600 207000 0.3 0.0000117 13 60 1 0 0.1

Unit m

39.37008

Conv.fact 39.37008

24 0.375

Unit inch inch

m

703.0696

506210

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.0161 = 0.00073 = 1.5E+07 126.37 = 0.27577 0

= = = =

4859617 8099362 1.2E+07 239009

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -349.95 0.2 -245.75 0.3 -165.79 0.4 -98.38 0.5 -39.00

Uplift soil resistance(Q) 1007.42 882.69 761.15 642.82 527.68

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 6 of 6

Wo 126.37 126.37 126.37 126.37 126.37

Q + Wo 1133.79 1009.06 887.52 769.19 654.05

Stability Stable Stable Stable Stable Stable

View more...
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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Non Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0238 0 960 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.938

Unit inch inch

m

703.0696

674947

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.08949 = 0.01599 = 3.4E+08 702.499 = 1.07796 0

= = = =

5179785 8632975 1.2E+07 1347774

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -2630.65 0.2 -2335.21 0.3 -2108.51 0.4 -1917.40 0.5 -1749.02

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 1 of 6

Wo 702.50 702.50 702.50 702.50 702.50

Q + Wo 3041.89 2813.22 2587.75 2365.48 2146.40

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 1 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" Hassyan Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0238 0.001 960 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.938

Unit inch inch

m

703.0696

674947

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.08581 = 0.01536 = 3.2E+08 673.583 = 1.08165 0

= = = =

5179785 8632975 1.2E+07 1292296

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -2522.92 0.2 -2239.88 0.3 -2022.69 0.4 -1839.59 0.5 -1678.28

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 2 of 6

Wo 673.58 673.58 673.58 673.58 673.58

Q + Wo 3012.97 2784.30 2558.83 2336.56 2117.49

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 2 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" RM2 Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Non Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0159 0 600 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.625

Unit inch inch

m

703.0696

421842

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.06001 = 0.01086 = 2.3E+08 471.103 = 1.10744 0

= = = =

4859617 8099362 1.2E+07 891022

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -1773.98 0.2 -1579.94 0.3 -1431.04 0.4 -1305.51 0.5 -1194.92

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 3 of 6

Wo 471.10 471.10 471.10 471.10 471.10

Q + Wo 2810.50 2581.82 2356.35 2134.08 1915.01

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 2 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (48" RM2 Gas Pipeline, 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

1.219 0.0159 0.001 600 7850 1600 207000 0.3 0.0000117 13 60 1.2 0 0.1

Unit m

39.37008

Conv.fact 39.37008

48 0.625

Unit inch inch

m

703.0696

421842

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.05628 = 0.01021 = 2.2E+08 441.794 = 1.11117 0

= = = =

4859617 8099362 1.2E+07 835588

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -1663.98 0.2 -1482.15 0.3 -1342.63 0.4 -1225.01 0.5 -1121.39

Uplift soil resistance(Q) 2339.39 2110.72 1885.25 1662.98 1443.90

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 4 of 6

Wo 441.79 441.79 441.79 441.79 441.79

Q + Wo 2781.19 2552.51 2327.04 2104.77 1885.70

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 3 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (24" DFO Pipeline, D.F = 0.72) 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Non Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

0.610 0.0095 0 720 7850 1600 207000 0.3 0.0000117 13 60 1 0 0.1

Unit m

39.37008

Conv.fact 39.37008

24 0.375

Unit inch inch

m

703.0696

506210

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.01796 = 0.00081 = 1.7E+07 140.958 = 0.27391 0

= = = =

4859617 8099362 1.2E+07 266601

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -389.89 0.2 -273.47 0.3 -184.13 0.4 -108.82 0.5 -42.47

Uplift soil resistance(Q) 1007.42 882.69 761.15 642.82 527.68

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 5 of 6

Wo 140.96 140.96 140.96 140.96 140.96

Q + Wo 1148.38 1023.65 902.11 783.77 668.64

Stability Stable Stable Stable Stable Stable

ATTACHMENT - 3 Document No. 081113B-CL-302 Rev. B Upheaval Buckling Calculation (24" DFO Pipeline, D.F = 0.72) 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

As per OTC Paper 6335 by A.C. Palmer, C.P.Ellinas, D.M. Richards and J.Guijt, 1990 Corroded pipe Input Data Pipe diameter, D Nominal pipe thk, t Corrosion Allowance Design pressure, P Steel density Soil density, Y Youngs modulas of steel, E Poisson ratio, n Thermal expansion, a Installation (backfill) Temp, T1 Design Temp (U/G), T2 Pipeline Cover depth, H Fluid density (0.65 s.g) Uplift coefficient

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

0.610 0.0095 0.001 720 7850 1600 207000 0.3 0.0000117 13 60 1 0 0.1

Unit m

39.37008

Conv.fact 39.37008

24 0.375

Unit inch inch

m

703.0696

506210

Kg/m 2

101971.62

2 2.1108E+10 kg/m

Pipe Properties Pipe cross sectional area, A Pipe Section modulus, I Pipe flexural rigidity Weight of pipe Pipe contents sectional area Weight of contents

= = = = = =

π/4(D2-d2) π/64(D4-d4) EI Sect area x L x density π/4(D-2xt)2 Sect area x L x density

Pipeline Axial force

=

(P) = A {0.5 Sh + Eα(T2-T1) - ٧Sh }

Axial stress due hoop stress Axial stress due to pressure Thermal stress So the Axial force (P)

= = = =

٧(PD)/(2t) 0.5xSh Eα(T2-T1)

m PSI Kg/m3 Kg/m3 Mpa

Per oC o

C

o

C

m Kg/m3 (Consider zero for conservative reason)

(for loose soil or 0.5 for dense material)

= 0.0161 = 0.00073 = 1.5E+07 126.37 = 0.27577 0

= = = =

4859617 8099362 1.2E+07 239009

Kg/m 2 Kg/m 2 Kg/m 2 kg

(+) (-) (-)

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

Kg/m

The Uplift resistance from Soil & Pipe weight

Q = H x D x Ƴx [1+f x (H / D)]

Wo = Weight of Pipe + Contents

Condition for Stability = W < Wo + Q Imperfection height Req. Down force (W) 0.1 -349.95 0.2 -245.75 0.3 -165.79 0.4 -98.38 0.5 -39.00

Uplift soil resistance(Q) 1007.42 882.69 761.15 642.82 527.68

G

50 51 52 53 54

m2 m4 kg-m2 Kg/m m2 Kg/m

55 56 57

\\vboxsrv\conversion_tmp\scratch_3\[217024329.xls.ms_office.xls]48" has nc

Page 6 of 6

Wo 126.37 126.37 126.37 126.37 126.37

Q + Wo 1133.79 1009.06 887.52 769.19 654.05

Stability Stable Stable Stable Stable Stable

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