Flange Calculation

Strength Calculation API 6A 6BX 10000# WNRTJ (7-1/16”)

1

2017-09-02

ISSUE FOR APPROVAL

J.H Kim

0

2017-08-11

ISSUE FOR APPROVAL

J.H Kim

REV.

DATE

DESCRIPTION

PREPARED

CHECKED

APPROVED

Rev No. : 1 Page : 2/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

- CONTENTS NO.

DESCRIPTION

1.

API 6A 6BX 10000# WNRTJ(7-1/16')--------------------------------------

PAGE 3

-

8

Rev No. : 1 Page : 3/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20-FLG-101 ASME Section VIII Division 1, 2015 Edition Metric , Appendix 2 Flange Calculations Flange Type

Weld neck integral

Attachment Type

Figure 2-4 sketch (6) SA-182 F51 (II-D Metric p. 126, ln. 20) NACE

Flange Material Attached To

PIPE-7 1/16" (Left) Special Reducer (7 1/16" x 6")

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

No

No

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

23,442.17

176.67

0

Internal

Static Liquid Head Condition

Ps (kPa)

Operating

0 Dimensions

Flange OD, A

479.6 mm

Flange ID, B

158 mm

Bolt Circle, C

403.3 mm

Gasket OD

237.9 mm

Gasket ID

200.7 mm

Flange Thickness, t

103.1 mm

Hub Thickness, g1

60.8 mm

Hub Thickness, g0

48 mm

Hub Length, h

100.3 mm

Length, e

203.4 mm

Corrosion Bore

0 mm

Corrosion Flange

0 mm

Bolting Material

SA-193 B7 Bolt <= 64 (II-D Metric p. 344, ln. 31) ASTM A320 L7 PTFE COATED

Description

12 - 1.5" dia series 8 threaded

Corrosion on root

0 mm Gasket

Description

Ring joint Stainless steels and nickel-base alloys

Factor, m

6.5

Seating Stress, y

179.264 MPa

Thickness, T

4.45 mm Weight (kg)

Rev No. : 1 Page : 4/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------New

162.61 kg

Corroded

162.61 kg

Results Summary Flange design thickness:

76.1 mm

Maximum allowable working pressure, MAWP:

31,945.61 kPa @ 176.67 °C

Rated MDMT

0 °C

(bolting limits)

Note: this flange is calculated as an integral type. UHA-51 Material Toughness Requirements Material impact test temperature per UHA-51(a) =

0°C

Bolts rated MDMT per Fig UCS-66 note (c) =

-48°C

Design MDMT of 0°C is acceptable.

Stress Summary P (kPa) Design P

Weight Only

Oper

23,442.17

Seating

SH (MPa)

Allow (MPa)

SR (MPa)

ST (MPa)

(SH + SR) / 2 (MPa)

(SH + ST) / 2 (MPa)

Allow (MPa)

88.203

252

70.946

58.04

79.575

73.122

168

98.998

265.5

79.629

65.144

89.314

82.071

177

Bolt Summary P (kPa) Design P

Weight Only

Oper

23,442.17

Seating

W (N)

Am (cm2)

1,372,905.15

79.82

287,001.13

16.69

Rigidity Summary P (kPa) Design P

Weight Only

Oper

23,442.17

Seating

J

Allow

0.0813

1

0.0856

1

Flange calculations for Internal Pressure + Weight Only Gasket details from facing sketch 6, Column I Ring gasket width w = 18.6 mm b0 = w/8 = 2.33 mm Effective gasket seating width, b = b0 = 2.33 mm G = (gasket OD + gasket ID) / 2 = (237.9 + 200.7) / 2 = 219.3 mm hG = (C - G)/2 = (403.3 - 219.3)/2 = 92 mm

Ab (cm2) 108.77

Rev No. : 1 Page : 5/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------hD = R + g1/2 = 61.85 + 60.8/2 = 92.25 mm hT = (R + g1 + hG)/2 = (61.85 + 60.8 + 92)/2 = 107.33 mm Hp = 2*b*3.14*G*m*P = 2*2.33*3.14*219.3*6.5*23.4422 = 487,901.92 N H = 0.785*G2*P = 0.785*219.32*23.4422 = 885,003.23 N HD = 0.785*B2*P = 0.785*1582*23.4422 = 459,390.24 N HT = H - HD = 885,003.23 - 459,390.24 = 425,612.99 N Wm1 = H + Hp = 885,003.23 + 487,901.92 = 1,372,905.15 N Wm2 = 3.14*b*G*y = 3.14*2.33*219.3*179.2637 = 287,001.13 N Required bolt area, Am = greater of Am1, Am2 = 79.8201 cm2 Am1 = Wm1/Sb = 1,372,905.15/(100*172) = 79.8201 cm2 Am2 = Wm2/Sa = 287,001.13/(100*172) = 16.6861 cm2 Total area for 12 - 1.5" dia bolts, corroded, Ab = 108.774 cm2 W = (Am + Ab)*Sa/2 = (7,982.0057 + 10,877.4)*172/2 = 1,621,908.89 N MD = HD*hD = 459,390.24*0.0923 = 42,378.7 N-m MT = HT*hT = 425,612.99*0.1073 = 45,678.9 N-m HG = Wm1 - H = 1,372,905.15 - 885,003.23 = 487,901.92 N MG = HG*hG = 487,901.92*0.092 = 44,887 N-m Mo = MD + MT + MG = 42,378.7 + 45,678.9 + 44,887 = 132,944.6 N-m Mg = W*hG = 1,621,908.89*0.092 = 149,215.6 N-m

Rev No. : 1 Page : 6/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Hub and Flange Factors g0 = min(g0, tn) = min(48, 48) = 48 h0 = (B*g0)1/2 = (158*48)1/2 = 87.09 mm From FIG. 2-7.1, where K = A/B = 479.6/158 = 3.0354 T = 1.1971

Z = 1.2435

h/h0 = 1.1517

g1/g0 = 1.2667

F = 0.8338

V = 0.3422

Y = 1.8477

U= 2.0304

e = F/h0 = 0.0957

d = (U/V)*h0*g02= (2.0304/0.3422)*8.7086*4.82 = 1,190.3842 cm3 Stresses at operating conditions - VIII-1 Appendix 2-7 f=1 L = (t*e + 1)/T + t3/d = (10.31*0.0957 + 1)/1.1971 + 10.313/1,190.3842 = 2.5806 SH = f*Mo/(L*g12*B) = 1e3*1*132,944.6/(2.5806*60.82*158) = 88.203 MPa SR = (1.33*t*e + 1)*Mo/(L*t2*B) = (1.33*103.1*0.0096 + 1)*1e3*132,944.6/(2.5806*103.12*158) = 70.946 MPa ST = Y*Mo/(t2*B) - Z*SR = 1e3*1.8477*132,944.6/(103.12*158) - 1.2435*70.946 = 58.04 MPa Allowable stress Sfo = 168 MPa Allowable stress Sno = 168 MPa ST does not exceed Sfo SH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 252 MPa SR does not exceed Sfo 0.5(SH + SR) = 79.575 MPa does not exceed Sfo 0.5(SH + ST) = 73.122 MPa does not exceed Sfo Flange rigidity at operating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.3422*132,944.6/(2.5806*187.87E+03*482*0.3*87.09) = 0.0813 The flange rigidity index J does not exceed 1; satisfactory. Stresses at gasket seating - VIII-1 Appendix 2-7 SH = f*Mg/(L*g12*B) = 1e3*1*149,215.6/(2.5806*60.82*158) = 98.998 MPa SR = (1.33*t*e + 1)*Mg/(L*t2*B) = (1.33*103.1*0.0096 + 1)*1e3*149,215.6/(2.5806*103.12*158) = 79.629 MPa ST = Y*Mg/(t2*B) - Z*SR = 1.8477*1e3*149,215.6/(103.12*158) - 1.2435*79.629 = 65.144 MPa Allowable stress Sfa = 177 MPa Allowable stress Sna = 177 MPa

Rev No. : 1 Page : 7/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ST does not exceed Sfa SH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 265.5 MPa SR does not exceed Sfa 0.5(SH + SR) = 89.314 MPa does not exceed Sfa 0.5(SH + ST) = 82.071 MPa does not exceed Sfa Flange rigidity at gasket seating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.3422*149,215.6/(2.5806*200.35E+03*482*0.3*87.09) = 0.0856 The flange rigidity index J does not exceed 1; satisfactory. 20-FLG-101 - Flange hub ASME Section VIII Division 1, 2015 Edition Metric Component

Flange Hub

Material

SA-182 F51 (II-D Metric p. 126, ln. 20)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

No

No

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

23,442.17

176.67

0

Internal

Static Liquid Head Condition

Ps (kPa)

Hs (mm)

SG

Test horizontal

1.55

158

1

Dimensions Outer Diameter

254 mm

Length

100.3 mm

Nominal Thickness

48 mm

Corrosion

Inner

0 mm

Outer

0 mm Weight and Capacity Weight (kg)

Capacity (liters)

New

29.33

1.97

Corroded

29.33

1.97

Radiography Longitudinal seam

Seamless No RT

Right Circumferential seam

Full UW-11(a) Type 1

Results Summary Governing condition

Internal pressure

Minimum thickness per UG-16

2.5 mm + 0 mm = 2.5 mm

Design thickness due to internal pressure (t)

16.54 mm

Maximum allowable working pressure (MAWP)

79,756.19 kPa

Rated MDMT

0 °C

Rev No. : 1 Page : 8/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(7-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------UHA-51 Material Toughness Requirements Material impact test temperature per UHA-51(a) =

0°C

Design MDMT of 0°C is acceptable. Design thickness, (at 176.67 °C) Appendix 1-2 t

= Ro*(1 - exp[-P / (S*E)]) + Corrosion = 127*(1 - exp[-23,442.17 / (168,000*1.00)]) + 0 = 16.54 mm Maximum allowable working pressure, (at 176.67 °C) Appendix 1-2 P = S*E*ln(Ro / (Ro - t)) - Ps = 168,000*1.00*ln(127 / (127 - 48)) - 0 = 79,756.19 kPa

Strength Calculation API 6A 6BX 10000# WNRTJ (2-1/16”)

1

2017-09-03

ISSUE FOR APPROVAL

J.H Kim

0

2017-08-11

ISSUE FOR APPROVAL

J.H Kim

REV.

DATE

DESCRIPTION

PREPARED

CHECKED

APPROVED

Rev No. : 1 Page : 2/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

- CONTENTS NO.

DESCRIPTION

1.

API 6A 6BX 10000# WNRTJ(2-1/16')--------------------------------------

PAGE 3

-

8

Rev No. : 1 Page : 3/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20-FLG-102~107 ASME Section VIII Division 1, 2015 Edition Metric , Appendix 2 Flange Calculations Flange Type

Weld neck integral

Attachment Type

Figure 2-4 sketch (6) SA-182 F51 (II-D Metric p. 126, ln. 20) NACE

Flange Material Attached To

Special Weldolet (2 1/16") PIPE-2 1/16" (Left)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

No

No

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

23,442.17

176.67

0

Internal

Static Liquid Head Condition

Ps (kPa)

Operating

0 Dimensions

Flange OD, A

200.1 mm

Flange ID, B

44.68 mm

Bolt Circle, C

158.8 mm

Gasket OD

84.7 mm

Gasket ID

64.2 mm

Flange Thickness, t

44.5 mm

Hub Thickness, g1

23.5 mm

Hub Thickness, g0

15 mm

Hub Length, h

56.1 mm

Length, e

100.6 mm

Corrosion Bore

0 mm

Corrosion Flange

0 mm

Bolting Material

SA-193 B7 Bolt <= 64 (II-D Metric p. 344, ln. 31) ASTM A320 L7 PTFE COATED

Description

8 - 0.75" dia coarse threaded

Corrosion on root

0 mm Gasket

Description

Ring joint Stainless steels and nickel-base alloys

Factor, m

6.5

Seating Stress, y

179.264 MPa

Thickness, T

4.45 mm Weight (kg)

Rev No. : 1 Page : 4/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------New

12.43 kg

Corroded

12.43 kg

Results Summary Flange design thickness:

31.33 mm

Maximum allowable working pressure, MAWP:

32,516.87 kPa @ 176.67 °C

Rated MDMT

0 °C

(bolting limits)

Note: this flange is calculated as an integral type. UHA-51 Material Toughness Requirements Material impact test temperature per UHA-51(a) =

0°C

Bolts rated MDMT per Fig UCS-66 note (c) =

-48°C

Design MDMT of 0°C is acceptable.

Stress Summary P (kPa) Design P

Weight Only

Oper

23,442.17

Seating

SH (MPa)

Allow (MPa)

SR (MPa)

ST (MPa)

(SH + SR) / 2 (MPa)

(SH + ST) / 2 (MPa)

Allow (MPa)

78.096

252

59.109

65.112

68.603

71.604

168

86.811

265.5

65.706

72.379

76.259

79.595

177

Bolt Summary P (kPa) Design P

Weight Only

Oper

23,442.17

Seating

W (N)

Am (cm2)

193,277.97

11.24

53,693.36

3.12

Rigidity Summary P (kPa) Design P

Weight Only

Oper

23,442.17

Seating

J

Allow

0.0616

1

0.0643

1

Flange calculations for Internal Pressure + Weight Only Gasket details from facing sketch 6, Column I Ring gasket width w = 10.25 mm b0 = w/8 = 1.28 mm Effective gasket seating width, b = b0 = 1.28 mm G = (gasket OD + gasket ID) / 2 = (84.7 + 64.2) / 2 = 74.45 mm hG = (C - G)/2 = (158.8 - 74.45)/2 = 42.18 mm

Ab (cm2) 15.59

Rev No. : 1 Page : 5/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------hD = R + g1/2 = 33.57 + 23.5/2 = 45.31 mm hT = (R + g1 + hG)/2 = (33.57 + 23.5 + 42.18)/2 = 49.62 mm Hp = 2*b*3.14*G*m*P = 2*1.28*3.14*74.45*6.5*23.4422 = 91,278.72 N H = 0.785*G2*P = 0.785*74.452*23.4422 = 101,999.25 N HD = 0.785*B2*P = 0.785*44.682*23.4422 = 36,736.17 N HT = H - HD = 101,999.25 - 36,736.17 = 65,263.08 N Wm1 = H + Hp = 101,999.25 + 91,278.72 = 193,277.97 N Wm2 = 3.14*b*G*y = 3.14*1.28*74.45*179.2637 = 53,693.36 N Required bolt area, Am = greater of Am1, Am2 = 11.2371 cm2 Am1 = Wm1/Sb = 193,277.97/(100*172) = 11.2371 cm2 Am2 = Wm2/Sa = 53,693.36/(100*172) = 3.1217 cm2 Total area for 8 - 0.75" dia bolts, corroded, Ab = 15.5871 cm2 W = (Am + Ab)*Sa/2 = (1,123.709 + 1,558.7066)*172/2 = 230,687.77 N MD = HD*hD = 36,736.17*0.0453 = 1,664.6 N-m MT = HT*hT = 65,263.08*0.0496 = 3,238.2 N-m HG = Wm1 - H = 193,277.97 - 101,999.25 = 91,278.72 N MG = HG*hG = 91,278.72*0.0422 = 3,849.7 N-m Mo = MD + MT + MG = 1,664.6 + 3,238.2 + 3,849.7 = 8,752.5 N-m Mg = W*hG = 230,687.77*0.0422 = 9,729.3 N-m

Rev No. : 1 Page : 6/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Hub and Flange Factors g0 = min(g0, tn) = min(15, 15) = 15 h0 = (B*g0)1/2 = (44.68*15)1/2 = 25.89 mm From FIG. 2-7.1, where K = A/B = 200.1/44.68 = 4.4785 T = 0.9384

Z = 1.1049

h/h0 = 2.167

g1/g0 = 1.5663

F = 0.7502

V = 0.2015

Y = 1.3185

U = 1.4488

e = F/h0 = 0.2898

d = (U/V)*h0*g02= (1.4488/0.2015)*2.5888*1.52 = 41.879 cm3 Stresses at operating conditions - VIII-1 Appendix 2-7 f=1 L = (t*e + 1)/T + t3/d = (4.45*0.2898 + 1)/0.9384 + 4.453/41.879 = 4.544 SH = f*Mo/(L*g12*B) = 1e3*1*8,752.5/(4.544*23.52*44.68) = 78.096 MPa SR = (1.33*t*e + 1)*Mo/(L*t2*B) = (1.33*44.5*0.029 + 1)*1e3*8,752.5/(4.544*44.52*44.68) = 59.109 MPa ST = Y*Mo/(t2*B) - Z*SR = 1e3*1.3185*8,752.5/(44.52*44.68) - 1.1049*59.109 = 65.112 MPa Allowable stress Sfo = 168 MPa Allowable stress Sno = 168 MPa ST does not exceed Sfo SH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 252 MPa SR does not exceed Sfo 0.5(SH + SR) = 68.603 MPa does not exceed Sfo 0.5(SH + ST) = 71.604 MPa does not exceed Sfo Flange rigidity at operating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.2015*8,752.5/(4.544*187.87E+03*152*0.3*25.89) = 0.0616 The flange rigidity index J does not exceed 1; satisfactory. Stresses at gasket seating - VIII-1 Appendix 2-7 SH = f*Mg/(L*g12*B) = 1e3*1*9,729.3/(4.544*23.52*44.68) = 86.811 MPa SR = (1.33*t*e + 1)*Mg/(L*t2*B) = (1.33*44.5*0.029 + 1)*1e3*9,729.3/(4.544*44.52*44.68) = 65.706 MPa ST = Y*Mg/(t2*B) - Z*SR = 1.3185*1e3*9,729.3/(44.52*44.68) - 1.1049*65.706 = 72.379 MPa Allowable stress Sfa = 177 MPa Allowable stress Sna = 177 MPa ST does not exceed Sfa

Rev No. : 1 Page : 7/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------SH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 265.5 MPa SR does not exceed Sfa 0.5(SH + SR) = 76.259 MPa does not exceed Sfa 0.5(SH + ST) = 79.595 MPa does not exceed Sfa Flange rigidity at gasket seating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.2015*9,729.3/(4.544*200.35E+03*152*0.3*25.89) = 0.0643 The flange rigidity index J does not exceed 1; satisfactory. 20-FLG-102~107 - Flange hub ASME Section VIII Division 1, 2015 Edition Metric Component

Flange Hub

Material

SA-182 F51 (II-D Metric p. 126, ln. 20)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

No

No

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

23,442.17

176.67

0

Internal

Static Liquid Head Condition

Ps (kPa)

Hs (mm)

SG

Test horizontal

0.44

44.69

1

Dimensions Outer Diameter

74.68 mm

Length

56.1 mm

Nominal Thickness

15 mm

Corrosion

Inner

0 mm

Outer

0 mm Weight and Capacity Weight (kg)

Capacity (liters)

New

1.77

0.09

Corroded

1.77

0.09

Radiography Longitudinal seam

Seamless No RT

Right Circumferential seam

Full UW-11(a) Type 1

Results Summary Governing condition

Internal pressure

Minimum thickness per UG-16

2.5 mm + 0 mm = 2.5 mm

Design thickness due to internal pressure (t)

4.86 mm

Maximum allowable working pressure (MAWP)

86,299.31 kPa

Rated MDMT

0 °C

Rev No. : 1 Page : 8/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(2-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------UHA-51 Material Toughness Requirements Material impact test temperature per UHA-51(a) =

0°C

Design MDMT of 0°C is acceptable. Design thickness, (at 176.67 °C) Appendix 1-2 t

= Ro*(1 - exp[-P / (S*E)]) + Corrosion = 37.34*(1 - exp[-23,442.17 / (168,000*1.00)]) + 0 = 4.86 mm Maximum allowable working pressure, (at 176.67 °C) Appendix 1-2 P = S*E*ln(Ro / (Ro - t)) - Ps = 168,000*1.00*ln(37.34 / (37.34 - 15)) - 0 = 86,299.31 kPa

Strength Calculation API 6A 6BX 10000# WNRTJ (5-1/8”)

1

2017-09-03

ISSUE FOR APPROVAL

J.H Kim

0

2017-08-11

ISSUE FOR APPROVAL

J.H Kim

REV.

DATE

DESCRIPTION

PREPARED

CHECKED

APPROVED

Rev No. : 1 Page : 2/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(5-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

- CONTENTS NO.

DESCRIPTION

1.

API 6A 6BX 10000# WNRTJ(5-1/8')----------------------------------------

PAGE 3

-

8

Please add new design calculation for API Flange with Tag.No 20-FLA-112 as per on datasheet API FLange 6A (BLA-FTP-P-DS-00-004) with minimum design requirement are: 1. Thickness Hub = 25.8mm Rev No. : 1 Outside Hub = 182.6mm Page : 3/8 ITEM NAME :2.API 6A 6BXDiameter 10000# WNRTJ(5-1/8") 3. Inside Diameter Hub = 131.1mm -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20-FLG-112 20-FLG-109 , 20-FLG-110, & 20-FLG-111 ASME Section VIII Division 1, 2015 Edition Metric , Appendix 2 Flange Calculations Flange Type

Weld neck integral

Attachment Type

Figure 2-4 sketch (6) SA-182 F51 (II-D Metric p. 126, ln. 20) NACE

Flange Material Attached To

Special Reducer (6"x5 1/8") PIPE-51/8" (Left)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

No

No

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

8,894.24

176.67

0

Internal

Static Liquid Head Condition

Ps (kPa)

Operating

0 Dimensions

Flange OD, A

357.1 mm

Flange ID, B

112.6 mm

Bolt Circle, C

300 mm

Gasket OD

173.51 mm

Gasket ID

141.8 mm

Flange Thickness, t

79.2 mm

Hub Thickness, g1

46.4 mm

Hub Thickness, g0

35 mm

Hub Length, h

86.1 mm

Length, e

165.3 mm

Corrosion Bore

0 mm

Corrosion Flange

0 mm

Bolting Material

SA-193 B7 Bolt <= 64 (II-D Metric p. 344, ln. 31) ASTM A320 L7 PTFE COATED

Description

12 - 1.125" dia series 8 threaded

Corrosion on root

0 mm Gasket

Description

Ring joint Stainless steels and nickel-base alloys

Factor, m

6.5

Seating Stress, y

179.264 MPa

Thickness, T

4.45 mm Weight (kg)

Rev No. : 1 Page : 4/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(5-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------New

70.94 kg

Corroded

70.94 kg

Results Summary Flange design thickness:

50.03 mm

Maximum allowable working pressure, MAWP:

30,044.82 kPa @ 176.67 °C

Rated MDMT

0 °C

(bolting limits)

Note: this flange is calculated as an integral type. UHA-51 Material Toughness Requirements Material impact test temperature per UHA-51(a) =

0°C

Bolts rated MDMT per Fig UCS-66 note (c) =

-48°C

Design MDMT of 0°C is acceptable.

Stress Summary P (kPa) Design P

Weight Only

Oper

8,894.24

Seating

SH (MPa)

Allow (MPa)

SR (MPa)

ST (MPa)

(SH + SR) / 2 (MPa)

(SH + ST) / 2 (MPa)

Allow (MPa)

31.947

252

25.959

21.843

28.953

26.895

168

66.987

265.5

54.431

45.8

60.709

56.394

177

Bolt Summary P (kPa) Design P

Weight Only

Oper

8,894.24

Seating

W (N)

Am (cm2)

286,977.59

16.68

175,875.78

10.23

Rigidity Summary P (kPa) Design P

Weight Only

Oper

8,894.24

Seating

J

Allow

0.0285

1

0.056

1

Flange calculations for Internal Pressure + Weight Only Gasket details from facing sketch 6, Column I Ring gasket width w = 15.86 mm b0 = w/8 = 1.98 mm Effective gasket seating width, b = b0 = 1.98 mm G = (gasket OD + gasket ID) / 2 = (173.51 + 141.8) / 2 = 157.66 mm hG = (C - G)/2 = (300 - 157.66)/2 = 71.17 mm

Ab (cm2) 56.36

Rev No. : 1 Page : 5/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(5-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------hD = R + g1/2 = 47.3 + 46.4/2 = 70.5 mm hT = (R + g1 + hG)/2 = (47.3 + 46.4 + 71.17)/2 = 82.44 mm Hp = 2*b*3.14*G*m*P = 2*1.98*3.14*157.66*6.5*8.8942 = 113,439.88 N H = 0.785*G2*P = 0.785*157.662*8.8942 = 173,537.72 N HD = 0.785*B2*P = 0.785*112.62*8.8942 = 88,522.81 N HT = H - HD = 173,537.72 - 88,522.81 = 85,014.91 N Wm1 = H + Hp = 173,537.72 + 113,439.88 = 286,977.59 N Wm2 = 3.14*b*G*y = 3.14*1.98*157.66*179.2637 = 175,875.78 N Required bolt area, Am = greater of Am1, Am2 = 16.6847 cm2 Am1 = Wm1/Sb = 286,977.59/(100*172) = 16.6847 cm2 Am2 = Wm2/Sa = 175,875.78/(100*172) = 10.2253 cm2 Total area for 12 - 1.125" dia bolts, corroded, Ab = 56.3612 cm2 W = (Am + Ab)*Sa/2 = (1,668.4742 + 5,636.1178)*172/2 = 628,194.99 N MD = HD*hD = 88,522.81*0.0705 = 6,240.9 N-m MT = HT*hT = 85,014.91*0.0824 = 7,008.3 N-m HG = Wm1 - H = 286,977.59 - 173,537.72 = 113,439.88 N MG = HG*hG = 113,439.88*0.0712 = 8,073.8 N-m Mo = MD + MT + MG = 6,240.9 + 7,008.3 + 8,073.8 = 21,323 N-m Mg = W*hG = 628,194.99*0.0712 = 44,710.2 N-m

Rev No. : 1 Page : 6/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(5-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Hub and Flange Factors g0 = min(g0, tn) = min(35, 35) = 35 h0 = (B*g0)1/2 = (112.6*35)1/2 = 62.78 mm From FIG. 2-7.1, where K = A/B = 357.1/112.6 = 3.1714 T = 1.166

Z = 1.2208

h/h0 = 1.3715

g1/g0 = 1.3257

F = 0.8149

V = 0.3058

Y = 1.7732

U= 1.9486

e = F/h0 = 0.1298

d = (U/V)*h0*g02= (1.9486/0.3058)*6.2777*3.52 = 490.0126 cm3 Stresses at operating conditions - VIII-1 Appendix 2-7 f=1 L = (t*e + 1)/T + t3/d = (7.92*0.1298 + 1)/1.166 + 7.923/490.0126 = 2.7532 SH = f*Mo/(L*g12*B) = 1e3*1*21,323/(2.7532*46.42*112.6) = 31.947 MPa SR = (1.33*t*e + 1)*Mo/(L*t2*B) = (1.33*79.2*0.013 + 1)*1e3*21,323/(2.7532*79.22*112.6) = 25.959 MPa ST = Y*Mo/(t2*B) - Z*SR = 1e3*1.7732*21,323/(79.22*112.6) - 1.2208*25.959 = 21.843 MPa Allowable stress Sfo = 168 MPa Allowable stress Sno = 168 MPa ST does not exceed Sfo SH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 252 MPa SR does not exceed Sfo 0.5(SH + SR) = 28.953 MPa does not exceed Sfo 0.5(SH + ST) = 26.895 MPa does not exceed Sfo Flange rigidity at operating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.3058*21,323/(2.7532*187.87E+03*352*0.3*62.78) = 0.0285 The flange rigidity index J does not exceed 1; satisfactory. Stresses at gasket seating - VIII-1 Appendix 2-7 SH = f*Mg/(L*g12*B) = 1e3*1*44,710.2/(2.7532*46.42*112.6) = 66.987 MPa SR = (1.33*t*e + 1)*Mg/(L*t2*B) = (1.33*79.2*0.013 + 1)*1e3*44,710.2/(2.7532*79.22*112.6) = 54.431 MPa ST = Y*Mg/(t2*B) - Z*SR = 1.7732*1e3*44,710.2/(79.22*112.6) - 1.2208*54.431 = 45.8 MPa Allowable stress Sfa = 177 MPa Allowable stress Sna = 177 MPa

Rev No. : 1 Page : 7/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(5-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ST does not exceed Sfa SH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 265.5 MPa SR does not exceed Sfa 0.5(SH + SR) = 60.709 MPa does not exceed Sfa 0.5(SH + ST) = 56.394 MPa does not exceed Sfa Flange rigidity at gasket seating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.3058*44,710.2/(2.7532*200.35E+03*352*0.3*62.78) = 0.056 The flange rigidity index J does not exceed 1; satisfactory. 20-FLG-112 - Flange hub ASME Section VIII Division 1, 2015 Edition Metric Component

Flange Hub

Material

SA-182 F51 (II-D Metric p. 126, ln. 20)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

No

No

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

8,894.24

176.67

0

Internal

Static Liquid Head Condition

Ps (kPa)

Hs (mm)

SG

Test horizontal

1.1

112.6

1

Dimensions Outer Diameter

182.6 mm

Length

86.1 mm

Nominal Thickness

35 mm

Corrosion

Inner

0 mm

Outer

0 mm Weight and Capacity Weight (kg)

Capacity (liters)

New

13.62

0.86

Corroded

13.62

0.86

Radiography Longitudinal seam

Seamless No RT

Right Circumferential seam

Full UW-11(a) Type 1

Results Summary Governing condition

Internal pressure

Minimum thickness per UG-16

2.5 mm + 0 mm = 2.5 mm

Design thickness due to internal pressure (t)

4.71 mm

Maximum allowable working pressure (MAWP)

81,220.65 kPa

Rated MDMT

0 °C

Rev No. : 1 Page : 8/8 ITEM NAME : API 6A 6BX 10000# WNRTJ(5-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------UHA-51 Material Toughness Requirements Material impact test temperature per UHA-51(a) =

0°C

Design MDMT of 0°C is acceptable. Design thickness, (at 176.67 °C) Appendix 1-2 t

= Ro*(1 - exp[-P / (S*E)]) + Corrosion = 91.3*(1 - exp[-8,894.24 / (168,000*1.00)]) + 0 = 4.71 mm Maximum allowable working pressure, (at 176.67 °C) Appendix 1-2 P = S*E*ln(Ro / (Ro - t)) - Ps = 168,000*1.00*ln(91.3 / (91.3 - 35)) - 0 = 81,220.65 kPa

Strength Calculation API 6A 6B 5000# WNRTJ (7-1/6”)

1

2017-09-03

ISSUE FOR APPROVAL

J.H Kim

0

2017-08-11

ISSUE FOR APPROVAL

J.H Kim

REV.

DATE

DESCRIPTION

PREPARED

CHECKED

APPROVED

Rev No. : 1 Page : 2/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

- CONTENTS NO.

DESCRIPTION

1.

API 6A 6B 5000# WNRTJ(7-1/6')-------------------------------------------

PAGE 3

-

8

Rev No. : 1 Page : 3/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20-FLG-113 20-FLG-114, 20-FLG-115 ASME Section VIII Division 1, 2015 Edition Metric , Appendix 2 Flange Calculations Flange Type

Weld neck integral

Attachment Type

Figure 2-4 sketch (6) SA-350 LF2 Cl 1 (II-D Metric p. 18, ln. 28) A694-F60 + 3mm N08825 NACE

Flange Material Attached To

PIPE-7 1/16" (Left)

6"

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

Yes

Yes

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

21,373.75

171.11

0

Internal

Static Liquid Head Condition

Ps (kPa)

Operating

0 Dimensions

Flange OD, A

393.7 mm

Flange ID, B

131.78 mm

Bolt Circle, C

317.5 mm

Gasket OD

222.3 mm

Gasket ID

196.3 mm

Flange Thickness, t

92.08 mm

Hub Thickness, g1

46.2 mm

Hub Thickness, g0

17.26 mm

Hub Length, h

89.02 mm

Length, e

181.1 mm

Corrosion Bore

0 mm

Corrosion Flange

0 mm

18.26mm

Bolting Material

SA-540 B23 1 Bolt (II-D Metric p. 348, ln. 31) ASTM A320 L7M PTFE COATED

Description

12 - 1.125" dia series 8 threaded

Corrosion on root

0 mm Gasket

Description

Ring joint Stainless steels and nickel-base alloys

Factor, m

6.5

Seating Stress, y

179.264 MPa

Thickness, T

4.45 mm Weight (kg)

Rev No. : 1 Page : 4/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------New

89.81 kg

Corroded

89.81 kg

Results Summary Flange design thickness:

62.07 mm

Maximum allowable working pressure, MAWP:

26,621.01 kPa @ 171.11 °C

Rated MDMT

-49 °C

(bolting limits)

Note: this flange is calculated as an integral type. UCS-66 Material Toughness Requirements Impact test temperature per material specification =

-46°C

Additional reduction per UCS-66(g) =

3°C

Design MDMT of 0°C is acceptable.

Stress Summary P (kPa) Design P

Weight Only

Oper

21,373.75

Seating

SH (MPa)

Allow (MPa)

SR (MPa)

ST (MPa)

(SH + SR) / 2 (MPa)

(SH + ST) / 2 (MPa)

Allow (MPa)

68.318

207

44.464

60.13

56.391

64.224

138

62.07

207

40.397

54.63

51.233

58.35

138

Bolt Summary P (kPa) Design P

Weight Only

Oper

21,373.75

Seating

W (N)

Am (cm2)

1,031,742.67

45.25

191,445.26

8.4

Rigidity Summary P (kPa) Design P

Weight Only

Oper

21,373.75

Seating

J

Allow

0.0808

1

0.0703

1

Flange calculations for Internal Pressure + Weight Only Gasket details from facing sketch 6, Column I Ring gasket width w = 13 mm b0 = w/8 = 1.63 mm Effective gasket seating width, b = b0 = 1.63 mm G = (gasket OD + gasket ID) / 2 = (222.3 + 196.3) / 2 = 209.3 mm hG = (C - G)/2 = (317.5 - 209.3)/2 = 54.1 mm

Ab (cm2) 56.36

Rev No. : 1 Page : 5/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------hD = R + g1/2 = 46.66 + 46.2/2 = 69.76 mm hT = (R + g1 + hG)/2 = (46.66 + 46.2 + 54.1)/2 = 73.48 mm Hp = 2*b*3.14*G*m*P = 2*1.63*3.14*209.3*6.5*21.3737 = 296,740.15 N H = 0.785*G2*P = 0.785*209.32*21.3737 = 735,002.52 N HD = 0.785*B2*P = 0.785*131.782*21.3737 = 291,373.05 N HT = H - HD = 735,002.52 - 291,373.05 = 443,629.47 N Wm1 = H + Hp = 735,002.52 + 296,740.15 = 1,031,742.67 N Wm2 = 3.14*b*G*y = 3.14*1.63*209.3*179.2637 = 191,445.26 N Required bolt area, Am = greater of Am1, Am2 = 45.2519 cm2 Am1 = Wm1/Sb = 1,031,742.67/(100*228) = 45.2519 cm2 Am2 = Wm2/Sa = 191,445.26/(100*228) = 8.3967 cm2 Total area for 12 - 1.125" dia bolts, corroded, Ab = 56.3612 cm2 W = (Am + Ab)*Sa/2 = (4,525.1866 + 5,636.1178)*228/2 = 1,158,388.84 N MD = HD*hD = 291,373.05*0.0698 = 20,326.2 N-m MT = HT*hT = 443,629.47*0.0735 = 32,597.9 N-m HG = Wm1 - H = 1,031,742.67 - 735,002.52 = 296,740.15 N MG = HG*hG = 296,740.15*0.0541 = 16,053.6 N-m Mo = MD + MT + MG = 20,326.2 + 32,597.9 + 16,053.6 = 68,977.7 N-m Mg = W*hG = 1,158,388.84*0.0541 = 62,668.8 N-m

Rev No. : 1 Page : 6/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Hub and Flange Factors g0 = min(g0, tn) = min(17.26, 18.26) = 17.26 h0 = (B*g0)1/2 = (131.78*17.26)1/2 = 47.69 mm From FIG. 2-7.1, where K = A/B = 393.7/131.78 = 2.9876 T = 1.2085

Z = 1.2524

h/h0 = 1.8666

g1/g0 = 2.6767

F = 0.6174

V = 0.0666

Y = 1.876

U= 2.0615

e = F/h0 = 0.1294

d = (U/V)*h0*g02= (2.0615/0.0666)*4.7692*1.7262 = 439.6637 cm3 Stresses at operating conditions - VIII-1 Appendix 2-7 f=1 L = (t*e + 1)/T + t3/d = (9.208*0.1294 + 1)/1.2085 + 9.2083/439.6637 = 3.5895 SH = f*Mo/(L*g12*B) = 1e3*1*68,977.7/(3.5895*46.22*131.78) = 68.318 MPa SR = (1.33*t*e + 1)*Mo/(L*t2*B) = (1.33*92.08*0.0129 + 1)*1e3*68,977.7/(3.5895*92.082*131.78) = 44.464 MPa ST = Y*Mo/(t2*B) - Z*SR = 1e3*1.876*68,977.7/(92.082*131.78) - 1.2524*44.464 = 60.13 MPa Allowable stress Sfo = 138 MPa Allowable stress Sno = 138 MPa ST does not exceed Sfo SH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPa SR does not exceed Sfo 0.5(SH + SR) = 56.391 MPa does not exceed Sfo 0.5(SH + ST) = 64.224 MPa does not exceed Sfo Flange rigidity at operating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.0666*68,977.7/(3.5895*193.73E+03*17.262*0.3*47.69) = 0.0808 The flange rigidity index J does not exceed 1; satisfactory. Stresses at gasket seating - VIII-1 Appendix 2-7 SH = f*Mg/(L*g12*B) = 1e3*1*62,668.8/(3.5895*46.22*131.78) = 62.07 MPa SR = (1.33*t*e + 1)*Mg/(L*t2*B) = (1.33*92.08*0.0129 + 1)*1e3*62,668.8/(3.5895*92.082*131.78) = 40.397 MPa ST = Y*Mg/(t2*B) - Z*SR = 1.876*1e3*62,668.8/(92.082*131.78) - 1.2524*40.397 = 54.63 MPa Allowable stress Sfa = 138 MPa Allowable stress Sna = 138 MPa

Rev No. : 1 Page : 7/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ST does not exceed Sfa SH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 207 MPa SR does not exceed Sfa 0.5(SH + SR) = 51.233 MPa does not exceed Sfa 0.5(SH + ST) = 58.35 MPa does not exceed Sfa Flange rigidity at gasket seating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.0666*62,668.8/(3.5895*202.27E+03*17.262*0.3*47.69) = 0.0703 The flange rigidity index J does not exceed 1; satisfactory. 20-FLG-113 - Flange hub

20-FLG-114, 20-FLG-115 Flange Hub

ASME Section VIII Division 1, 2015 Edition Metric Component

Flange Hub

Material

SA-350 LF2 Cl 1 (II-D Metric p. 18, ln. 28)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

Yes (0°C)

Yes

Yes

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

21,373.75

171.11

0

Internal

Static Liquid Head Condition

Ps (kPa)

Hs (mm)

SG

Test horizontal

1.29

131.78

1

Dimensions 166.3 mm 168.3mm

Outer Diameter Length

89.02 mm 17.26 mm 18.26mm

Nominal Thickness Corrosion

Inner

0 mm

Outer

0 mm Weight and Capacity Weight (kg)

Capacity (liters)

New

11.82

1.21

Corroded

11.82

1.21

Radiography Longitudinal seam

Seamless No RT

Right Circumferential seam

Full UW-11(a) Type 1

Results Summary Governing condition

Internal pressure

Minimum thickness per UG-16

2.5 mm + 0 mm = 2.5 mm

Design thickness due to internal pressure (t)

12.13 mm

Maximum allowable working pressure (MAWP)

31,239.41 kPa

Rated MDMT

-53.7 °C

Rev No. : 1 Page : 8/8 ITEM NAME : API 6A 6B 5000# WNRTJ(7-1/6") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------UCS-66 Material Toughness Requirements Impact test temperature per material specification =

-46°C

tr = 26,621.01*83.15 / (138,000*1 + 0.4*26,621.01) =

14.89 mm

Stress ratio = tr*E* / (tn - c) = 14.89*1 / (17.26 - 0) =

0.8628

UCS-66(i) reduction in MDMT, TR from Fig UCS-66.1M =

7.7°C

MDMT = min[Timpact - TUCS-66(g), max[Timpact - TR, -105]] = min[ -46 - 3, max[ -46 - 7.7 , -105]] =

-53.7°C

Design MDMT of 0°C is acceptable. Design thickness, (at 171.11 °C) Appendix 1-1 t

= P*Ro / (S*E + 0.40*P) + Corrosion = 21,373.75*83.15 / (138,000*1.00 + 0.40*21,373.75) + 0 = 12.13 mm

Maximum allowable working pressure, (at 171.11 °C) Appendix 1-1 P

= S*E*t / (Ro - 0.40*t) - Ps = 138,000*1.00*17.26 / (83.15 - 0.40*17.26) - 0 = 31,239.41 kPa

Strength Calculation API 6A 6B 3000# WNRTJ (4-1/16”)

1

2017-09-03

ISSUE FOR APPROVAL

J.H Kim

0

2017-08-11

ISSUE FOR APPROVAL

J.H Kim

REV.

DATE

DESCRIPTION

PREPARED

CHECKED

APPROVED

Rev No. : 1 Page : 2/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

- CONTENTS NO.

DESCRIPTION

1.

API 6A 6B 3000# WNRTJ(4-1/16')-------------------------------------------

PAGE 3

-

8

Rev No. : 1 Page : 3/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20-FLG-116 , 20-FLG-117, 20-FLG-118, & 20-FLG-121 ASME Section VIII Division 1, 2015 Edition Metric , Appendix 2 Flange Calculations Flange Type

Weld neck integral

Attachment Type

Figure 2-4 sketch (6)

Flange Material

SA-105 (II-D Metric p. 18, ln. 23)

Attached To

PIPE4 1/16" (Left)

4"

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

No

Yes

Yes

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

20,684.27

143.33

0

Internal

Static Liquid Head Condition

Ps (kPa)

Operating

0 Dimensions

Flange OD, A

292.1 mm

Flange ID, B

92.04 mm

Bolt Circle, C

235 mm

Gasket OD

149.2 mm

Gasket ID

133.3 mm

Flange Thickness, t

52.3 mm

Hub Thickness, g1

35.3 mm

Hub Thickness, g0

11.64 mm

Hub Length, h

79.5 mm

Length, e

131.8 mm

Corrosion Bore

3.18 mm

Corrosion Flange

0 mm

11.13mm

Bolting Material

SA-193 B7 Bolt <= 64 (II-D Metric p. 344, ln. 31) ASTM A193 B7 HOT DIP GALVANIZED

Description

8 - 1.125" dia series 8 threaded

Corrosion on root

0 mm Gasket

Description

Ring joint Stainless steels and nickel-base alloys

Factor, m

6.5

Seating Stress, y

179.264 MPa

Thickness, T

4.45 mm Weight (kg)

Rev No. : 1 Page : 4/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------New

30.3 kg

Corroded

29.3 kg

Results Summary Flange design thickness:

43.75 mm

Maximum allowable working pressure, MAWP:

30,211.41 kPa @ 143.33 °C

Rated MDMT

-38.99 °C

(bolting limits)

Note: this flange is calculated as an integral type. UCS-66 Material Toughness Requirements Governing thickness, tg =

11.64 mm

Exemption temperature from Fig UCS-66M Curve C =

-38.99°C

Stress ratio per UCS-66(b)(1)(b) =

1

Reduction in MDMT, TR from Fig UCS-66.1M =

0°C

MDMT = max[ MDMT - TR, -48] = max[ -38.99 - 0 , -48] =

-38.99°C

Bolts rated MDMT per Fig UCS-66 note (c) =

-48°C

Material is exempt from impact testing at the Design MDMT of 0°C.

Stress Summary P (kPa) Design P

Weight Only

Oper

20,684.27

Seating

SH (MPa)

Allow (MPa)

SR (MPa)

ST (MPa)

(SH + SR) / 2 (MPa)

(SH + ST) / 2 (MPa)

Allow (MPa)

91.898

207

77.706

66.311

84.802

79.105

138

100.336

207

84.841

72.4

92.589

86.368

138

Bolt Summary P (kPa) Design P

Weight Only

Oper

20,684.27

Seating

W (N)

Am (cm2)

442,473.12

25.73

79,011.01

4.59

Rigidity Summary P (kPa) Design P

Weight Only

Oper

20,684.27

Seating

J

Allow

0.1102

1

0.1162

1

Flange calculations for Internal Pressure + Weight Only Gasket details from facing sketch 6, Column I Ring gasket width w = 7.95 mm b0 = w/8 = 0.99 mm

Ab (cm2) 37.57

Rev No. : 1 Page : 5/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Effective gasket seating width, b = b0 = 0.99 mm G = (gasket OD + gasket ID) / 2 = (149.2 + 133.3) / 2 = 141.25 mm hG = (C - G)/2 = (235 - 141.25)/2 = 46.88 mm hD = R + g1/2 = 36.18 + 32.13/2 = 52.24 mm hT = (R + g1 + hG)/2 = (36.18 + 32.13 + 46.88)/2 = 57.59 mm Hp = 2*b*3.14*G*m*P = 2*0.99*3.14*141.25*6.5*20.6843 = 118,516.52 N H = 0.785*G2*P = 0.785*141.252*20.6843 = 323,956.61 N HD = 0.785*B2*P = 0.785*98.392*20.6843 = 157,185.27 N HT = H - HD = 323,956.61 - 157,185.27 = 166,771.34 N Wm1 = H + Hp = 323,956.61 + 118,516.52 = 442,473.12 N Wm2 = 3.14*b*G*y = 3.14*0.99*141.25*179.2637 = 79,011.01 N Required bolt area, Am = greater of Am1, Am2 = 25.7252 cm2 Am1 = Wm1/Sb = 442,473.12/(100*172) = 25.7252 cm2 Am2 = Wm2/Sa = 79,011.01/(100*172) = 4.5937 cm2 Total area for 8 - 1.125" dia bolts, corroded, Ab = 37.5741 cm2 W = (Am + Ab)*Sa/2 = (2,572.5178 + 3,757.4118)*172/2 = 544,374.02 N MD = HD*hD = 157,185.27*0.0522 = 8,211.7 N-m MT = HT*hT = 166,771.34*0.0576 = 9,604.4 N-m HG = Wm1 - H = 442,473.12 - 323,956.61 = 118,516.52 N MG = HG*hG = 118,516.52*0.0469 = 5,555.5 N-m Mo = MD + MT + MG = 8,211.7 + 9,604.4 + 5,555.5 = 23,371.6 N-m Mg = W*hG = 544,374.02*0.0469 = 25,517.5 N-m

Rev No. : 1 Page : 6/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Hub and Flange Factors g0 = min(g0, tn) = min(8.46, 11.8) = 8.46 h0 = (B*g0)1/2 = (98.39*8.46)1/2 = 28.86 mm From FIG. 2-7.1, where K = A/B = 292.1/98.39 = 2.9688 T = 1.213

Z = 1.256

h/h0 = 2.7551

g1/g0 = 3.7958

F = 0.5149

V = 0.0273

Y = 1.8874

U= 2.0741

e = F/h0 = 0.1784

d = (U/V)*h0*g02= (2.0741/0.0273)*2.8857*0.84632 = 157.0444 cm3 Stresses at operating conditions - VIII-1 Appendix 2-7 f=1 L = (t*e + 1)/T + t3/d = (5.23*0.1784 + 1)/1.213 + 5.233/157.0444 = 2.5046 SH = f*Mo/(L*g12*B) = 1e3*1*23,371.6/(2.5046*32.132*98.39) = 91.898 MPa SR = (1.33*t*e + 1)*Mo/(L*t2*B) = (1.33*52.3*0.0178 + 1)*1e3*23,371.6/(2.5046*52.32*98.39) = 77.706 MPa ST = Y*Mo/(t2*B) - Z*SR = 1e3*1.8874*23,371.6/(52.32*98.39) - 1.256*77.706 = 66.311 MPa Allowable stress Sfo = 138 MPa Allowable stress Sno = 118 MPa ST does not exceed Sfo SH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPa SR does not exceed Sfo 0.5(SH + SR) = 84.802 MPa does not exceed Sfo 0.5(SH + ST) = 79.105 MPa does not exceed Sfo Flange rigidity at operating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.0273*23,371.6/(2.5046*194.4E+03*8.462*0.3*28.86) = 0.1102 The flange rigidity index J does not exceed 1; satisfactory. Stresses at gasket seating - VIII-1 Appendix 2-7 SH = f*Mg/(L*g12*B) = 1e3*1*25,517.5/(2.5046*32.132*98.39) = 100.336 MPa SR = (1.33*t*e + 1)*Mg/(L*t2*B) = (1.33*52.3*0.0178 + 1)*1e3*25,517.5/(2.5046*52.32*98.39) = 84.841 MPa ST = Y*Mg/(t2*B) - Z*SR = 1.8874*1e3*25,517.5/(52.32*98.39) - 1.256*84.841 = 72.4 MPa Allowable stress Sfa = 138 MPa Allowable stress Sna = 118 MPa

Rev No. : 1 Page : 7/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ST does not exceed Sfa SH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 207 MPa SR does not exceed Sfa 0.5(SH + SR) = 92.589 MPa does not exceed Sfa 0.5(SH + ST) = 86.368 MPa does not exceed Sfa Flange rigidity at gasket seating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.0273*25,517.5/(2.5046*201.23E+03*8.462*0.3*28.86) = 0.1162 The flange rigidity index J does not exceed 1; satisfactory. 20-FLG-116 - Flange hub , 20-FLG-117, 20-FLG-118, & 20-FLG-121 Flange Hub ASME Section VIII Division 1, 2015 Edition Metric Component

Flange Hub

Material

SA-105 (II-D Metric p. 18, ln. 23)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

No

Yes

Yes

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

20,684.27

143.33

0

Internal

Static Liquid Head Condition

Ps (kPa)

Hs (mm)

SG

Test horizontal

0.9

92.04

1

Dimensions Outer Diameter

115.32 mm

Length

79.5 mm

Nominal Thickness

11.64 mm

Corrosion

Inner

3.18 mm

Outer

0 mm

114.3mm

11.13mm

Weight and Capacity Weight (kg)

Capacity (liters)

New

5.58

0.53

Corroded

4.99

0.6

Radiography Longitudinal seam

Seamless No RT

Right Circumferential seam

Full UW-11(a) Type 1

Results Summary Governing condition

Internal pressure

Minimum thickness per UG-16

2.5 mm + 3.18 mm = 5.68 mm

Design thickness due to internal pressure (t)

11.33 mm

Maximum allowable working pressure (MAWP)

21,519.6 kPa

Rated MDMT

-38.99 °C

Rev No. : 1 Page : 8/8 ITEM NAME : API 6A 6B 3000# WNRTJ(4-1/16") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------UCS-66 Material Toughness Requirements Governing thickness, tg =

11.64 mm

Exemption temperature from Fig UCS-66M Curve C =

-38.99°C

tr = 21,519.6*57.66 / (138,000*1 + 0.4*21,519.6) =

8.46 mm

Stress ratio = tr*E* / (tn - c) = 8.46*1 / (11.64 - 3.18) =

1

Reduction in MDMT, TR from Fig UCS-66.1M =

0°C

MDMT = max[ MDMT - TR, -48] = max[ -38.99 - 0 , -48] =

-38.99°C

Material is exempt from impact testing at the Design MDMT of 0°C. Design thickness, (at 143.33 °C) Appendix 1-1 t

= P*Ro / (S*E + 0.40*P) + Corrosion = 20,684.27*57.66 / (138,000*1.00 + 0.40*20,684.27) + 3.18 = 11.33 mm

Maximum allowable working pressure, (at 143.33 °C) Appendix 1-1 P

= S*E*t / (Ro - 0.40*t) - Ps = 138,000*1.00*8.46 / (57.66 - 0.40*8.46) - 0 = 21,519.6 kPa

Strength Calculation API 6A 6B 3000# WNRTJ (3-1/8”)

1

2017-09-03

ISSUE FOR APPROVAL

J.H Kim

0

2017-08-11

ISSUE FOR APPROVAL

J.H Kim

REV.

DATE

DESCRIPTION

PREPARED

CHECKED

APPROVED

Rev No. : 1 Page : 2/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

- CONTENTS NO.

DESCRIPTION

1.

API 6A 6B 3000# WNRTJ(3-1/8')-------------------------------------------

PAGE 3

-

8

Rev No. : 1 Page : 3/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------20-FLG-119 & 20-FLG-120 ASME Section VIII Division 1, 2015 Edition Metric , Appendix 2 Flange Calculations Flange Type

Weld neck integral

Attachment Type

Figure 2-4 sketch (6)

Flange Material

SA-105 (II-D Metric p. 18, ln. 23) PIPE4 1/16" (Left) Special Reducer (3 1/8"x2")

Attached To Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

No

Yes

Yes

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

20,684.27

60

0

Internal

Static Liquid Head Condition

Ps (kPa)

Operating

0 Dimensions

Flange OD, A

241.3 mm

Flange ID, B

68.9 mm

Bolt Circle, C

190.5 mm

Gasket OD

149.2 mm

Gasket ID

133.3 mm

Flange Thickness, t

46 mm

Hub Thickness, g1

29.8 mm

Hub Thickness, g0

10 mm

Hub Length, h

79.4 mm

Length, e

125.4 mm

Corrosion Bore

3.18 mm

Corrosion Flange

0 mm

Bolting Material

SA-193 B7 Bolt <= 64 (II-D Metric p. 344, ln. 31) ASTM A193 B7 HOT DIP GALVANIZED

Description

8 - 1" dia series 8 threaded

Corrosion on root

0 mm Gasket

Description

Ring joint Stainless steels and nickel-base alloys

Factor, m

6.5

Seating Stress, y

179.264 MPa

Thickness, T

4.45 mm Weight (kg)

Rev No. : 1 Page : 4/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------New

18.78 kg

Corroded

18.05 kg

Results Summary Flange design thickness:

38.65 mm

Maximum allowable working pressure, MAWP:

22,866.05 kPa @ 60 °C

Rated MDMT

-45.5 °C

(bolting limits)

Note: this flange is calculated as an integral type. UCS-66 Material Toughness Requirements Governing thickness, tg =

10 mm

Exemption temperature from Fig UCS-66M Curve C =

-45.5°C

Stress ratio per UCS-66(b)(1)(b) =

1

Reduction in MDMT, TR from Fig UCS-66.1M =

0°C

MDMT = max[ MDMT - TR, -48] = max[ -45.5 - 0 , -48] =

-45.5°C

Bolts rated MDMT per Fig UCS-66 note (c) =

-48°C

Material is exempt from impact testing at the Design MDMT of 0°C.

Stress Summary P (kPa) Design P

Weight Only

Oper

20,684.27

Seating

SH (MPa)

Allow (MPa)

SR (MPa)

ST (MPa)

(SH + SR) / 2 (MPa)

(SH + ST) / 2 (MPa)

Allow (MPa)

108.211

207

84.772

79.225

96.492

93.718

138

75.071

207

58.81

54.962

66.94

65.017

138

Bolt Summary P (kPa) Design P

Weight Only

Oper

20,684.27

Seating

W (N)

Am (cm2)

442,473.12

25.73

79,011.01

4.59

Rigidity Summary P (kPa) Design P

Weight Only

Oper

20,684.27

Seating

J

Allow

0.113

1

0.0776

1

Flange calculations for Internal Pressure + Weight Only Gasket details from facing sketch 6, Column I Ring gasket width w = 7.95 mm b0 = w/8 = 0.99 mm

Ab (cm2) 28.44

Rev No. : 1 Page : 5/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Effective gasket seating width, b = b0 = 0.99 mm G = (gasket OD + gasket ID) / 2 = (149.2 + 133.3) / 2 = 141.25 mm hG = (C - G)/2 = (190.5 - 141.25)/2 = 24.63 mm hD = R + g1/2 = 31 + 26.63/2 = 44.31 mm hT = (R + g1 + hG)/2 = (31 + 26.63 + 24.63)/2 = 41.13 mm Hp = 2*b*3.14*G*m*P = 2*0.99*3.14*141.25*6.5*20.6843 = 118,516.52 N H = 0.785*G2*P = 0.785*141.252*20.6843 = 323,956.61 N HD = 0.785*B2*P = 0.785*75.252*20.6843 = 91,943.9 N HT = H - HD = 323,956.61 - 91,943.9 = 232,012.71 N Wm1 = H + Hp = 323,956.61 + 118,516.52 = 442,473.12 N Wm2 = 3.14*b*G*y = 3.14*0.99*141.25*179.2637 = 79,011.01 N Required bolt area, Am = greater of Am1, Am2 = 25.7252 cm2 Am1 = Wm1/Sb = 442,473.12/(100*172) = 25.7252 cm2 Am2 = Wm2/Sa = 79,011.01/(100*172) = 4.5937 cm2 Total area for 8 - 1" dia bolts, corroded, Ab = 28.4387 cm2 W = (Am + Ab)*Sa/2 = (2,572.5178 + 2,843.8653)*172/2 = 465,809.01 N MD = HD*hD = 91,943.9*0.0443 = 4,074.3 N-m MT = HT*hT = 232,012.71*0.0411 = 9,541.5 N-m HG = Wm1 - H = 442,473.12 - 323,956.61 = 118,516.52 N MG = HG*hG = 118,516.52*0.0246 = 2,918.5 N-m Mo = MD + MT + MG = 4,074.3 + 9,541.5 + 2,918.5 = 16,534.3 N-m Mg = W*hG = 465,809.01*0.0246 = 11,470.5 N-m

Rev No. : 1 Page : 6/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Hub and Flange Factors g0 = min(g0, tn) = min(6.83, 10.16) = 6.83 h0 = (B*g0)1/2 = (75.25*6.83)1/2 = 22.66 mm From FIG. 2-7.1, where K = A/B = 241.3/75.25 = 3.2066 T = 1.1582

Z = 1.2155

h/h0 = 3.5036

g1/g0 = 3.9011

F = 0.4958

V = 0.0237

Y = 1.7552

U= 1.9288

e = F/h0 = 0.2188

d = (U/V)*h0*g02= (1.9288/0.0237)*2.2662*0.68252 = 85.9775 cm3 Stresses at operating conditions - VIII-1 Appendix 2-7 f=1 L = (t*e + 1)/T + t3/d = (4.6*0.2188 + 1)/1.1582 + 4.63/85.9775 = 2.8643 SH = f*Mo/(L*g12*B) = 1e3*1*16,534.3/(2.8643*26.632*75.25) = 108.211 MPa SR = (1.33*t*e + 1)*Mo/(L*t2*B) = (1.33*46*0.0219 + 1)*1e3*16,534.3/(2.8643*462*75.25) = 84.772 MPa ST = Y*Mo/(t2*B) - Z*SR = 1e3*1.7552*16,534.3/(462*75.25) - 1.2155*84.772 = 79.225 MPa Allowable stress Sfo = 138 MPa Allowable stress Sno = 118 MPa ST does not exceed Sfo SH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPa SR does not exceed Sfo 0.5(SH + SR) = 96.492 MPa does not exceed Sfo 0.5(SH + ST) = 93.718 MPa does not exceed Sfo Flange rigidity at operating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.0237*16,534.3/(2.8643*199.13E+03*6.832*0.3*22.66) = 0.113 The flange rigidity index J does not exceed 1; satisfactory. Stresses at gasket seating - VIII-1 Appendix 2-7 SH = f*Mg/(L*g12*B) = 1e3*1*11,470.5/(2.8643*26.632*75.25) = 75.071 MPa SR = (1.33*t*e + 1)*Mg/(L*t2*B) = (1.33*46*0.0219 + 1)*1e3*11,470.5/(2.8643*462*75.25) = 58.81 MPa ST = Y*Mg/(t2*B) - Z*SR = 1.7552*1e3*11,470.5/(462*75.25) - 1.2155*58.81 = 54.962 MPa Allowable stress Sfa = 138 MPa Allowable stress Sna = 118 MPa

Rev No. : 1 Page : 7/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ST does not exceed Sfa SH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 207 MPa SR does not exceed Sfa 0.5(SH + SR) = 66.94 MPa does not exceed Sfa 0.5(SH + ST) = 65.017 MPa does not exceed Sfa Flange rigidity at gasket seating per VIII-1 Appendix 2-14 J = 52.14*V*Mo/(L*E*g02*KI*h0) = 1e3*52.14*0.0237*11,470.5/(2.8643*201.23E+03*6.832*0.3*22.66) = 0.0776 The flange rigidity index J does not exceed 1; satisfactory. 20-FLG-119 - Flange hub & 20-FLG-120 Flange Hub ASME Section VIII Division 1, 2015 Edition Metric Component

Flange Hub

Material

SA-105 (II-D Metric p. 18, ln. 23)

Impact Tested

Normalized

Fine Grain Practice

PWHT

Optimize MDMT/ Find MAWP

No

Yes

Yes

No

No

Design Pressure (kPa)

Design Temperature (°C)

Design MDMT (°C)

20,684.27

60

0

Internal

Static Liquid Head Condition

Ps (kPa)

Hs (mm)

SG

Test horizontal

0.68

68.9

1

Dimensions Outer Diameter

88.9 mm

Length

79.4 mm

Nominal Thickness

10 mm

Corrosion

Inner

3.18 mm

Outer

0 mm Weight and Capacity Weight (kg)

Capacity (liters)

New

3.64

0.3

Corroded

3.2

0.35

Radiography Longitudinal seam

Seamless No RT

Right Circumferential seam

Full UW-11(a) Type 1

Results Summary Governing condition

Internal pressure

Minimum thickness per UG-16

2.5 mm + 3.18 mm = 5.68 mm

Design thickness due to internal pressure (t)

9.46 mm

Maximum allowable working pressure (MAWP)

22,575.5 kPa

Rated MDMT

-45.5 °C

Rev No. : 1 Page : 8/8 ITEM NAME : API 6A 6B 3000# WNRTJ(3-1/8") --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------UCS-66 Material Toughness Requirements Governing thickness, tg =

10 mm

Exemption temperature from Fig UCS-66M Curve C =

-45.5°C

tr = 22,575.5*44.45 / (138,000*1 + 0.4*22,575.5) =

6.83 mm

Stress ratio = tr*E* / (tn - c) = 6.83*1 / (10 - 3.18) =

1

Reduction in MDMT, TR from Fig UCS-66.1M =

0°C

MDMT = max[ MDMT - TR, -48] = max[ -45.5 - 0 , -48] =

-45.5°C

Material is exempt from impact testing at the Design MDMT of 0°C. Design thickness, (at 60 °C) Appendix 1-1 t

= P*Ro / (S*E + 0.40*P) + Corrosion = 20,684.27*44.45 / (138,000*1.00 + 0.40*20,684.27) + 3.18 = 9.46 mm

Maximum allowable working pressure, (at 60 °C) Appendix 1-1 P

= S*E*t / (Ro - 0.40*t) - Ps = 138,000*1.00*6.82 / (44.45 - 0.40*6.82) - 0 = 22,575.5 kPa