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document.xls BOLT TORQUES FOR ASME B16.5 FLANGES WITH SPIRAL WOUND GASKETS TO ASME FLANGE MATERIAL ASTM A105 GASKET FILLER MATERIAL FLEXIBLE GRAPHITE STUD BOLT GRADE ASTM A193-B7 NUT GRADE ASTM A194-2H FLANGE PRESSURE CLASS 150 lb NOMINAL FLANGE DIAMETER 15 mm IS FLANGE JOINT INSULATED? NO MAXIMUM FLUID TEMPERATURE 20 MINIMUM BOLT UTILISATION 40 % OF YIELD STRENGTH MAXIMUM BOLT UTILISATION 60 % OF YIELD STRENGTH STUD BOLT CONDITION NEVER-SEIZE (PASTE) IGNORE MINIMUM GASKET PRESSURE? NO TORQUE COEFFICIENT, K 0.17 STUD BOLT SIZE 1/2 in NO. OF STUD BOLTS 4 BOLT LOAD 24.0 kN BOLT TORQUE 1ST PASS 16.0 Nm BOLT TORQUE 2ND PASS 31.0 Nm BOLT TORQUE FINAL PASS 52.0 Nm BOLT LOAD REQUIRED FOR MINIMUM BOLT UTILISATION NOTES: 1. BOLT TORQUE (Nm) = TORQUE COEFFICIENT, K x BOLT LOAD (kN) x BOLT DIAMETER (mm) 2. MINIMUM GASKET PRESSURE = 70 MPa 3. MAXIMUM GASKET PRESSURE = 200 MPa 4. GASKET PRESSURE = 190 MPa 5. BOLT UTILISATION = 40 % OF YIELD STRENGTH 6. FOR FLANGE BOLTING PROCEDURE REFER TO DRAWING NO. 467972 7. WASHERS ARE TO BE USED UNDER EACH NUT FOR STUD BOLT SIZES > 1" 8. GASKET TO HAVE OUTER (CENTERING) AND INNER RINGS COMPLETE BOLT LOAD RESULTS MINIMUM BOLT LOAD (BOLT UTILISATION) 24 kN MINIMUM BOLT LOAD (GASKET PRESSURE) 9 kN MAXIMUM BOLT LOAD (FLANGE STRENGTH) 19 kN MAXIMUM BOLT LOAD (BOLT UTILISATION) 36 kN MAXIMUM BOLT LOAD (GASKET PRESSURE) 25 kN MINIMUM BOLT LOAD 24 kN MAXIMUM BOLT LOAD 19 kN BOLT LOAD RANGE 24 - 24 kN 0 C

Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

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Page 1: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

document.xls

BOLT TORQUES FOR ASME B16.5 FLANGES WITH SPIRAL WOUND GASKETS TO ASME B16.20

FLANGE MATERIAL ASTM A105

GASKET FILLER MATERIAL FLEXIBLE GRAPHITE

STUD BOLT GRADE ASTM A193-B7

NUT GRADE ASTM A194-2H

FLANGE PRESSURE CLASS 150 lb

NOMINAL FLANGE DIAMETER 15 mm

IS FLANGE JOINT INSULATED? NO

MAXIMUM FLUID TEMPERATURE 20 [375 °C MAX]

MINIMUM BOLT UTILISATION 40 % OF YIELD STRENGTH

MAXIMUM BOLT UTILISATION 60 % OF YIELD STRENGTH

STUD BOLT CONDITION NEVER-SEIZE (PASTE)

IGNORE MINIMUM GASKET PRESSURE? NO

TORQUE COEFFICIENT, K 0.17STUD BOLT SIZE 1/2 inNO. OF STUD BOLTS 4BOLT LOAD 24.0 kNBOLT TORQUE 1ST PASS 16.0 Nm

BOLT TORQUE 2ND PASS 31.0 Nm

BOLT TORQUE FINAL PASS 52.0 Nm

BOLT LOAD REQUIRED FOR MINIMUM BOLT UTILISATION

NOTES:

1. BOLT TORQUE (Nm) = TORQUE COEFFICIENT, K x BOLT LOAD (kN) x BOLT DIAMETER (mm)

2. MINIMUM GASKET PRESSURE = 70 MPa

3. MAXIMUM GASKET PRESSURE = 200 MPa

4. GASKET PRESSURE = 190 MPa

5. BOLT UTILISATION = 40 % OF YIELD STRENGTH

6. FOR FLANGE BOLTING PROCEDURE REFER TO DRAWING NO. 467972

7. WASHERS ARE TO BE USED UNDER EACH NUT FOR STUD BOLT SIZES > 1"

8. GASKET TO HAVE OUTER (CENTERING) AND INNER RINGS

COMPLETE BOLT LOAD RESULTS

MINIMUM BOLT LOAD (BOLT UTILISATION) 24 kN

MINIMUM BOLT LOAD (GASKET PRESSURE) 9 kN

MAXIMUM BOLT LOAD (FLANGE STRENGTH) 19 kN

MAXIMUM BOLT LOAD (BOLT UTILISATION) 36 kN

MAXIMUM BOLT LOAD (GASKET PRESSURE) 25 kN

MINIMUM BOLT LOAD 24 kN

MAXIMUM BOLT LOAD 19 kN

BOLT LOAD RANGE 24 - 24 kN

0C

Page 2: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

document.xls

GASKET PRESSURE RANGE 190 - 190 MPa

NOTES:

1. MINIMUM BOLT LOAD REQUIRED FOR MINIMUM BOLT UTILISATION

2. MAXIMUM BOLT LOAD REQUIRED FOR MINIMUM BOLT UTILISATION

Page 3: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

TORQUE TABLES FOR ASME B16.5 FLANGES WITH SPIRAL WOUND GASKETS TO ASME B16.20

FLANGE SPECIFICATION: ASME B16.5

MAXIMUM FLUID TEMPERATURE: 20 °C

FLANGE MATERIAL: ASTM A105

STUD BOLT SPECIFICATION: ASTM A193-B7

NUT SPECIFICATION: ASTM A194-2H

GASKET SPECIFICATION: SPIRAL WOUND GASKET TO ASME B16.20 WITH OUTER (CENTERING) & INNER RINGS

BOLT LUBRICANT: NEVER-SEIZE (PASTE)

TORQUE COEFFICIENT: 0.17

CLASS 150

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

BOLT SIZE (in) 1/2 1/2 1/2 1/2 1/2 5/8 5/8 5/8 5/8 3/4 3/4 3/4 7/8 7/8 1 1 1 1/8 1 1/8 1 1/4

NO. OF BOLTS 4 4 4 4 4 4 4 4 8 8 8 8 12 12 12 16 16 20 20

BOLT LOAD (kN) 24.0 24.1 31.0 36.0 36.0 57.7 57.7 58.2 52.6 86.1 86.1 103.3 119.4 119.4 156.9 156.9 206.7 206.7 263.3

BOLT TORQUE 1ST PASS (Nm) 16.0 16.0 20.0 23.0 23.0 47.0 47.0 47.0 43.0 84.0 84.0 100.0 135.0 135.0 203.0 203.0 301.0 301.0 426.0

BOLT TORQUE 2ND PASS (Nm) 31.0 31.0 40.0 47.0 47.0 93.0 93.0 94.0 85.0 167.0 167.0 201.0 271.0 271.0 407.0 407.0 602.0 602.0 853.0

BOLT TORQUE FINAL PASS (Nm) 52.0 52.0 67.0 78.0 78.0 156.0 156.0 157.0 142.0 279.0 279.0 334.0 451.0 451.0 678.0 678.0 1004.0 1004.0 1421.0

BOLT TORQUE 1ST PASS (ft.lb) 11.0 12.0 15.0 17.0 17.0 34.0 34.0 35.0 31.0 62.0 62.0 74.0 100.0 100.0 150.0 150.0 222.0 222.0 314.0

BOLT TORQUE 2ND PASS (ft.lb) 23.0 23.0 30.0 34.0 34.0 69.0 69.0 69.0 63.0 123.0 123.0 148.0 200.0 200.0 300.0 300.0 444.0 444.0 629.0

BOLT TORQUE FINAL PASS (ft.lb) 38.0 38.0 49.0 57.0 57.0 115.0 115.0 116.0 105.0 206.0 206.0 247.0 333.0 333.0 500.0 500.0 740.0 740.0 1048.0

CLASS 300

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

BOLT SIZE (in) 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 3/4 3/4 3/4 7/8 1 1 1/8 1 1/8 1 1/4 1 1/4 1 1/4 1 1/2

NO. OF BOLTS 4 4 4 4 4 8 8 8 8 8 12 12 16 16 20 20 24 24 24

BOLT LOAD (kN) 24.0 38.5 42.5 54.0 76.7 48.1 57.4 83.1 86.1 86.1 86.1 119.4 156.9 206.7 137.8 195.0 229.1 260.8 335.4

BOLT TORQUE 1ST PASS (Nm) 16.0 31.0 34.0 44.0 74.0 39.0 56.0 81.0 84.0 84.0 84.0 135.0 203.0 301.0 201.0 316.0 371.0 422.0 652.0

BOLT TORQUE 2ND PASS (Nm) 31.0 62.0 69.0 87.0 149.0 78.0 112.0 162.0 167.0 167.0 167.0 271.0 407.0 602.0 402.0 632.0 742.0 845.0 1303.0

BOLT TORQUE FINAL PASS (Nm) 52.0 104.0 115.0 146.0 248.0 130.0 186.0 269.0 279.0 279.0 279.0 451.0 678.0 1004.0 669.0 1053.0 1237.0 1408.0 2172.0

BOLT TORQUE 1ST PASS (ft.lb) 11.0 23.0 25.0 32.0 55.0 29.0 41.0 60.0 62.0 62.0 62.0 100.0 150.0 222.0 148.0 233.0 274.0 311.0 481.0

BOLT TORQUE 2ND PASS (ft.lb) 23.0 46.0 51.0 64.0 110.0 57.0 82.0 119.0 123.0 123.0 123.0 200.0 300.0 444.0 296.0 466.0 547.0 623.0 961.0

BOLT TORQUE FINAL PASS (ft.lb) 38.0 77.0 85.0 107.0 183.0 96.0 137.0 199.0 206.0 206.0 206.0 333.0 500.0 740.0 494.0 776.0 912.0 1038.0 1602.0

Page 4: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

CLASS 600

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

BOLT SIZE (in) 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 7/8 1 1 1 1/8 1 1/4 1 1/4 1 3/8 1 1/2 1 5/8 1 5/8 1 7/8

NO. OF BOLTS 4 4 4 4 4 8 8 8 8 8 12 12 16 20 20 20 20 24 24

BOLT LOAD (kN) 25.3 38.5 48.4 54.0 76.7 48.9 57.4 83.1 119.4 156.9 156.9 206.7 249.5 256.5 260.1 340.0 447.5 410.9 491.7

BOLT TORQUE 1ST PASS (Nm) 16.0 31.0 39.0 44.0 74.0 40.0 56.0 81.0 135.0 203.0 203.0 301.0 404.0 415.0 463.0 661.0 942.0 865.0 1194.0

BOLT TORQUE 2ND PASS (Nm) 33.0 62.0 78.0 87.0 149.0 79.0 112.0 162.0 271.0 407.0 407.0 602.0 808.0 831.0 927.0 1321.0 1884.0 1730.0 2388.0

BOLT TORQUE FINAL PASS (Nm) 55.0 104.0 131.0 146.0 248.0 132.0 186.0 269.0 451.0 678.0 678.0 1004.0 1347.0 1385.0 1545.0 2202.0 3140.0 2883.0 3981.0

BOLT TORQUE 1ST PASS (ft.lb) 12.0 23.0 29.0 32.0 55.0 29.0 41.0 60.0 100.0 150.0 150.0 222.0 298.0 306.0 342.0 487.0 695.0 638.0 881.0

BOLT TORQUE 2ND PASS (ft.lb) 24.0 46.0 58.0 64.0 110.0 58.0 82.0 119.0 200.0 300.0 300.0 444.0 596.0 613.0 683.0 975.0 1390.0 1276.0 1762.0

BOLT TORQUE FINAL PASS (ft.lb) 40.0 77.0 96.0 107.0 183.0 97.0 137.0 199.0 333.0 500.0 500.0 740.0 993.0 1021.0 1139.0 1624.0 2316.0 2127.0 2936.0

CLASS 900

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

BOLT SIZE (in) 7/8 1 1/8 1 1/4 1 1/8 1 3/8 1 3/8 1 3/8 1 1/2 1 5/8 1 7/8 2 2 1/2

NO. OF BOLTS 8 8 8 12 12 16 20 20 20 20 20 20

BOLT LOAD (kN) 107.7 152.2 193.1 175.1 220.0 200.7 241.6 263.8 303.7 441.8 435.8 602.7

BOLT TORQUE 1ST PASS (Nm) 122.0 222.0 313.0 255.0 392.0 357.0 430.0 513.0 639.0 1073.0 1129.0 1952.0

BOLT TORQUE 2ND PASS (Nm) 244.0 444.0 625.0 510.0 784.0 715.0 861.0 1025.0 1279.0 2146.0 2258.0 3904.0

BOLT TORQUE FINAL PASS (Nm) 407.0 739.0 1042.0 850.0 1306.0 1192.0 1435.0 1709.0 2131.0 3577.0 3763.0 6506.0

BOLT TORQUE 1ST PASS (ft.lb) 90.0 164.0 231.0 188.0 289.0 264.0 317.0 378.0 472.0 791.0 833.0 1440.0

BOLT TORQUE 2ND PASS (ft.lb) 180.0 327.0 461.0 376.0 578.0 527.0 635.0 756.0 943.0 1583.0 1665.0 2879.0

BOLT TORQUE FINAL PASS (ft.lb) 300.0 545.0 769.0 627.0 964.0 879.0 1058.0 1260.0 1572.0 2638.0 2776.0 4799.0

Page 5: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

CLASS 1500

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

BOLT SIZE (in) 3/4 3/4 7/8 7/8 1 7/8 1 1 1/8 1 1/4 1 1/2 1 3/8 1 5/8 1 7/8 2 2 1/4 2 1/2 2 3/4 3 3 1/2

NO. OF BOLTS 4 4 4 4 4 8 8 8 8 8 12 12 12 16 16 16 16 16 16

BOLT LOAD (kN) 39.5 39.5 54.7 81.9 102.1 77.1 94.9 118.9 165.7 219.2 190.0 256.5 336.2 342.1 441.0 552.5 615.4 739.6 1022.2

BOLT TORQUE 1ST PASS (Nm) 38.0 38.0 62.0 93.0 132.0 87.0 123.0 173.0 268.0 426.0 338.0 540.0 817.0 886.0 1285.0 1789.0 2192.0 2874.0 4635.0

BOLT TORQUE 2ND PASS (Nm) 77.0 77.0 124.0 186.0 264.0 175.0 246.0 347.0 537.0 852.0 677.0 1080.0 1633.0 1773.0 2571.0 3578.0 4385.0 5748.0 9269.0

BOLT TORQUE FINAL PASS (Nm) 128.0 128.0 207.0 309.0 441.0 291.0 410.0 578.0 894.0 1420.0 1128.0 1799.0 2722.0 2955.0 4285.0 5964.0 7308.0 9581.0 ###

BOLT TORQUE 1ST PASS (ft.lb) 28.0 28.0 46.0 68.0 98.0 64.0 91.0 128.0 198.0 314.0 250.0 398.0 602.0 654.0 948.0 1320.0 1617.0 2120.0 3418.0

BOLT TORQUE 2ND PASS (ft.lb) 57.0 57.0 92.0 137.0 195.0 129.0 181.0 256.0 396.0 628.0 499.0 796.0 1205.0 1308.0 1896.0 2639.0 3234.0 4240.0 6837.0

BOLT TORQUE FINAL PASS (ft.lb) 94.0 94.0 153.0 228.0 325.0 215.0 302.0 426.0 660.0 1047.0 832.0 1327.0 2008.0 2179.0 3160.0 4399.0 5390.0 7066.0 ###

CLASS 2500

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

BOLT SIZE (in) 3/4 3/4 7/8 1 1 1/8 1 1 1/8 1 1/4 1 1/2 1 3/4 2 2 2 1/2 2 3/4

NO. OF BOLTS 4 4 4 4 4 8 8 8 8 8 8 12 12 12

BOLT LOAD (kN) 35.9 36.3 50.0 81.9 102.1 77.1 94.9 118.9 166.4 232.5 311.0 311.0 502.3 559.5

BOLT TORQUE 1ST PASS (Nm) 35.0 35.0 57.0 106.0 149.0 100.0 138.0 193.0 323.0 527.0 806.0 806.0 1627.0 1993.0

BOLT TORQUE 2ND PASS (Nm) 70.0 71.0 113.0 212.0 297.0 200.0 277.0 385.0 647.0 1054.0 1612.0 1612.0 3253.0 3986.0

BOLT TORQUE FINAL PASS (Nm) 116.0 118.0 189.0 353.0 496.0 333.0 461.0 642.0 1078.0 1757.0 2686.0 2686.0 5422.0 6643.0

BOLT TORQUE 1ST PASS (ft.lb) 26.0 26.0 42.0 78.0 110.0 74.0 102.0 142.0 239.0 389.0 594.0 594.0 1200.0 1470.0

BOLT TORQUE 2ND PASS (ft.lb) 51.0 52.0 84.0 156.0 219.0 147.0 204.0 284.0 477.0 778.0 1189.0 1189.0 2399.0 2940.0

BOLT TORQUE FINAL PASS (ft.lb) 86.0 87.0 139.0 261.0 366.0 246.0 340.0 473.0 795.0 1296.0 1981.0 1981.0 3999.0 4900.0

NOTES:

1. BOLT TORQUE (Nm) = TORQUE COEFFICIENT, K x BOLT LOAD (kN) x BOLT DIAMETER (mm).

2. MINIMUM GASKET PRESSURE = 70 MPa.

3. MAXIMUM GASKET PRESSURE = 200 MPa.

4. MINIMUM BOLT LOAD = 40 % OF Y.S. (CLASSES 150, 300 & 600), 30 % OF Y.S. (CLASS 900), 27.5 % OF Y.S. (CLASS 1500) & 25 % OF Y.S. (CLASS 2500).

5. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

6. FOR FLANGE BOLTING PROCEDURE REFER TO DRAWING NO. 467972.

7. WASHERS ARE TO BE USED UNDER EACH NUT FOR STUD BOLT SIZES > 1".

8. TABLES ARE TO BE USED AS A GENERAL GUIDE.

9. TABLES SHOULD NOT BE CONSIDERED TO CONTAIN ABSOLUTE VALUES DUE TO THE LARGE NUMBER OF UNCONTROLLABLE VARIABLES INVOLVED WITH BOLTED JOINTS.

10. ALL BOLT TORQUE TABLES ARE BASED ON THE USE NEW BOLTS AND NUTS.

11. THE FLANGES ARE ASSUMED TO BE IN GOOD CONDITION AND IN COMPLIANCE WITH ASME B16.5 SPECIFICATIONS.

SPECIAL ATTENTION SHOULD BE GIVEN TO SEATING SURFACE FINISH AND FLATNESS.

Page 6: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

12. ONLY TORQUE WRENCHES THAT HAVE BEEN CALIBRATED SHOULD BE USED.

13. FLANGE JOINTS ARE CONSIDERED TO BE UNINSULATED.

Page 7: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

REVIEW CALCULATIONS

FLANGE SPECIFICATION: ASME B16.5 LEGEND:

MAXIMUM FLUID TEMPERATURE: 20 °C G:

FLANGE MATERIAL: ASTM A105 B:

STUD BOLT SPECIFICATION: ASTM A193-B7

NUT SPECIFICATION: ASTM A194-2H

GASKET SPECIFICATION: SPIRAL WOUND GASKET TO ASME B16.20 WITH OUTER (CENTERING) & INNER RINGS

CLASS 150

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80

GASKET PRESSURE (MPa) 190 133 124 133 94 118 101 70

BOLT UTILISATION (% YS) 40 40 52 60 60 60 60 60

FLANGE STRESS LEVEL (% ALLOW) 125 100 100 72 60 75 81 61

B G

NOTES:

1. MINIMUM GASKET PRESSURE = 70 MPa.

2. MAXIMUM GASKET PRESSURE = 200 MPa.

3. MINIMUM BOLT LOAD = 40% OF YIELD STRENGTH.

4. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

CLASS 300

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80

GASKET PRESSURE (MPa) 190 212 170 200 200 197 202 200

BOLT UTILISATION (% YS) 40 40 44 56 53 50 40 58

FLANGE STRESS LEVEL (% ALLOW) 100 100 100 80 98 100 90 96

B B B

NOTES:

1. MINIMUM GASKET PRESSURE = 70 MPa.

2. MAXIMUM GASKET PRESSURE = 200 MPa.

3. MINIMUM BOLT LOAD = 40% OF YIELD STRENGTH.

4. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

CLASS 600

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80

GASKET PRESSURE (MPa) 200 212 194 200 200 200 202 200

BOLT UTILISATION (% YS) 42 40 50 56 53 51 40 58

FLANGE STRESS LEVEL (% ALLOW) 93 100 100 58 76 64 70 74

B B

NOTES:

1. MINIMUM GASKET PRESSURE = 70 MPa.

2. MAXIMUM GASKET PRESSURE = 200 MPa.

3. MINIMUM BOLT LOAD = 40% OF YIELD STRENGTH.

Page 8: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

4. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

CLASS 900

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80

GASKET PRESSURE (MPa) 200

BOLT UTILISATION (% YS) 54

FLANGE STRESS LEVEL (% ALLOW) 75

NOTES:

1. MINIMUM GASKET PRESSURE = 70 MPa.

2. MAXIMUM GASKET PRESSURE = 200 MPa.

3. MINIMUM BOLT LOAD = 30% OF YIELD STRENGTH.

4. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

CLASS 1500

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80

GASKET PRESSURE (MPa) 312 217 219 200 200 200 200 200

BOLT UTILISATION (% YS) 27.5 27.5 27.5 41.1 39.0 38.7 36.3 34.5

FLANGE STRESS LEVEL (% ALLOW) 63 45 47 61 63 68 59 53

B B B

NOTES:

1. MINIMUM GASKET PRESSURE = 70 MPa.

2. MAXIMUM GASKET PRESSURE = 200 MPa.

3. MINIMUM BOLT LOAD = 27.5% OF YIELD STRENGTH.

4. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

CLASS 2500

NOMINAL DIAMETER (mm)

15 20 25 32 40 50 65 80

GASKET PRESSURE (MPa) 283 200 200 200 200 200 200 200

BOLT UTILISATION (% YS) 25.0 25.3 25.1 31.3 29.6 29.5 27.6 27.1

FLANGE STRESS LEVEL (% ALLOW) 35 26 29 35 35 46 40 35

B

NOTES:

1. MINIMUM GASKET PRESSURE = 70 MPa.

2. MAXIMUM GASKET PRESSURE = 200 MPa.

3. MINIMUM BOLT LOAD = 25% OF YIELD STRENGTH.

4. MAXIMUM BOLT LOAD = 60% OF YIELD STRENGTH.

Page 9: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

LEGEND:

BOLT LOAD REQUIRED FOR MINIMUM GASKET PRESSURE

BOLT LOAD REQUIRED FOR MINIMUM BOLT UTILISATION

SPIRAL WOUND GASKET TO ASME B16.20 WITH OUTER (CENTERING) & INNER RINGS

NO. < MIN RECOMMENDED

NOMINAL DIAMETER (mm) MIN REC100 125 150 200 250 300 350 400 450 500 600

87 119 83 70 100 73 89 88 80 91 89 0 7055 60 60 72 60 60 60 60 60 60 60 0 40

100 97 72 72 91 64 97 95 77 89 90 1

G

NO. < MIN RECOMMENDED

NOMINAL DIAMETER (mm) MIN REC100 125 150 200 250 300 350 400 450 500 600

142 119 125 121 175 169 130 136 134 138 136 0 7060 60 60 60 60 60 40 44 52 59 51 0 4073 64 94 80 92 91 102 100 100 100 100 3

B

NO. < MIN RECOMMENDED

NOMINAL DIAMETER (mm) MIN REC100 125 150 200 250 300 350 400 450 500 600

157 163 179 169 200 196 194 194 200 200 200 0 7060 60 60 60 57 58 48 51 57 52 45 0 4072 85 87 84 95 100 100 100 75 78 73 0

Page 10: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

NO. < MIN RECOMMENDED

NOMINAL DIAMETER (mm) MIN REC100 125 150 200 250 300 350 400 450 500 600

200 200 200 200 200 200 200 200 200 200 231 0 7044 44 51 40 37 44 40 38 41 35 30 0 3073 64 68 64 62 68 57 54 57 48 41 0

B

NO. < MIN RECOMMENDED

NOMINAL DIAMETER (mm) MIN REC100 125 150 200 250 300 350 400 450 500 600

200 200 200 200 200 227 309 257 223 243 253 0 7037.8 33.1 34.9 32.5 31.1 27.5 27.5 27.5 27.5 27.5 27.5 0 27.554 44 41 40 36 36 41 41 35 36 36 0

B B B B B B

NO. < MIN RECOMMENDED

NOMINAL DIAMETER (mm) MIN REC100 125 150 200 250 300 350 400 450 500 600

200 212 218 243 321 245 0 7025.2 25.0 25.0 25.0 25.0 25.0 0 2537 33 31 31 31 27 0

B B B B B

Page 11: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

NO. < MIN RECOMMENDED

AVE (< MIN REC) MIN MAX

70 190 40 72 60 125

NO. < MIN RECOMMENDED

AVE (< MIN REC) MIN MAX

119 212 40 60 64 102

NO. < MIN RECOMMENDED

AVE (< MIN REC) MIN MAX

157 212 40 60 58 100

Page 12: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

NO. < MIN RECOMMENDED

AVE (< MIN REC) MIN MAX

200 231 30 54 41 75

NO. < MIN RECOMMENDED

AVE (< MIN REC) MIN MAX

200 312 28 41 35 68

NO. < MIN RECOMMENDED

AVE (< MIN REC) MIN MAX

200 321 25 31 26 46

Page 13: Bolt Torque ASME B16.5 Flanges - Spiral Wound Gaskets

document.xls Page 13

Calculations For ASME B16.5 Flanges With Spiral Wound Gaskets to ASME B16.20

Flange Material = ASTM A105Stud Bolt Grade = ASTM A193-B7

Nut Grade = ASTM A194-2HMinimum Gasket Stress = 70 MPa

Maximum Gasket Stress = 200 MPaMinimum Bolt Load (Class 150, 300 & 600) = 40.0 % of Yield Strength

Minimum Bolt Load (Class 900) = 30.0 % of Yield StrengthMinimum Bolt Load (Class 1500) = 27.5 % of Yield StrengthMinimum Bolt Load (Class 2500) = 25.0 % of Yield Strength

Maximum Bolt Load = 60 % of Yield StrengthBolt Condition = NEVER-SEIZE (PASTE)

Torque Coefficient, K = 0.17

Class 150

Nominal Pipe Size (mm)15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

Gasket Contact ID (mm) 19.0 25.4 31.8 47.8 54.1 69.9 82.6 101.6 127.0 155.7 182.6 233.4 287.3 339.9 371.6 422.4 474.7 525.5 628.7Gasket Contact OD (mm) 31.8 39.6 47.8 60.5 69.9 85.9 98.6 120.6 149.4 177.8 209.5 263.7 317.5 374.7 406.4 463.5 527.1 577.9 685.8No. of Bolts 4 4 4 4 4 4 4 4 8 8 8 8 12 12 12 16 16 20 20Size of Bolts (in) 1/2 1/2 1/2 1/2 1/2 5/8 5/8 5/8 5/8 3/4 3/4 3/4 7/8 7/8 1 1 1 1/8 1 1/8 1 1/4Threads per Inch 13 13 13 13 13 11 11 11 11 10 10 10 9 9 8 8 8 8 8

507 726 999 1079 1533 1957 2276 3325 4851 5788 8293 11800 14357 19528 21263 28632 41168 45343 59000

83.4 83.4 83.4 83.4 83.4 134 134 134 134 199 199 199 276 276 363 363 478 478 609 Bolt Yield Strength (MPa) 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 Maximum Bolt Load Based on Flange Strength (MPa) 19 24 31 50 60 77 71 95 53 89 120 144 132 186 162 165 268 233 292 Maximum Bolt Load Available (kN) 36 36 36 36 36 58 58 58 58 86 86 86 119 119 157 157 207 207 263 Maximum Gasket Pressure Available (MPa) 284 198 144 133 94 118 101 69 95 119 83 58 100 73 89 88 80 91 89Maximum Gasket Pressure Recommended or Available (MPa) 200 198 144 133 94 118 101 69 95 119 83 58 100 73 89 88 80 91 89Minimum Bolt Load Based on Minimum Bolt Utilisation (kN) 24 24 24 24 24 38 38 38 38 57 57 57 80 80 105 105 138 138 176 Minimum Bolt Load Based on Minimum Gasket Pressure (kN) 9 13 17 19 27 34 40 58 42 51 73 103 84 114 124 125 180 159 206Minimum Bolt Load (kN) 24 24 24 24 27 38 40 58 42 57 73 103 84 114 124 125 180 159 206Minimum Bolt Torque (Nm) 52 52 52 52 58 104 107 157 115 186 235 334 316 430 536 541 875 771 1115Preferred Bolt Load (kN) 19 24 31 36 36 58 58 58 53 86 86 86 119 119 157 157 207 207 263Preferred Bolt Torque (Nm) 42 52 67 78 78 156 156 156 142 279 279 279 451 451 678 678 1004 1004 1421Preferred Gasket Pressure (MPa) 152 133 124 133 94 118 101 69 87 119 83 58 100 73 89 88 80 91 89

Class 300 Gasket Compression =

Nominal Pipe Size (mm)15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

Gasket Contact ID (mm) 19.0 25.4 31.8 47.8 54.1 69.9 82.6 101.6 127.0 155.7 182.6 233.4 287.3 339.9 371.6 422.4 474.7 525.5 628.7Gasket Contact OD (mm) 31.8 39.6 47.8 60.5 69.9 85.9 98.6 120.6 149.4 177.8 209.5 263.7 317.5 374.7 406.4 463.5 527.1 577.9 685.8No. of Bolts 4 4 4 4 4 8 8 8 8 8 12 12 16 16 20 20 24 24 24Size of Bolts (in) 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 3/4 3/4 3/4 7/8 1 1 1/8 1 1/8 1 1/4 1 1/4 1 1/4 1 1/2Threads per Inch 13 11 11 11 10 11 10 10 10 10 10 9 8 8 8 8 8 8 8

507 726 999 1079 1533 1957 2276 3325 4851 5788 8293 11800 14357 19528 21263 28632 41168 45343 59000

83.4 133.6 133.6 133.6 199.4 134 199 199 199 199 199 276 363 478 478 609 609 609 919 Bolt Yield Strength (MPa) 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 Maximum Bolt Load Based on Flange Strength (MPa) 24 38 42 67 78 48 64 87 118 135 91 149 171 228 135 195 229 261 335 Maximum Bolt Load Available (kN) 36 58 58 58 86 58 86 86 86 86 86 119 157 207 207 263 263 263 397 Maximum Gasket Pressure Available (MPa) 284 318 231 214 225 236 303 207 142 119 125 121 175 169 194 184 153 139 161Maximum Gasket Pressure Recommended or Available (MPa) 200 200 200 200 200 200 200 200 142 119 125 121 175 169 194 184 153 139 161

Gasket Contact Area (mm2)

Bolt Core Area (mm2)

Gasket Contact Area (mm2)

Bolt Core Area (mm2)

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Minimum Bolt Load Based on Minimum Bolt Utilisation (kN) 24 38 38 38 57 38 57 57 57 57 57 80 105 138 138 176 176 176 265 Minimum Bolt Load Based on Minimum Gasket Pressure (kN) 9 13 17 19 27 17 20 29 42 51 48 69 63 85 74 100 120 132 172Minimum Bolt Load (kN) 24 38 38 38 57 38 57 57 57 57 57 80 105 138 138 176 176 176 265Minimum Bolt Torque (Nm) 52 104 104 104 186 104 186 186 186 186 186 301 452 669 669 947 947 947 1714Preferred Bolt Load (kN) 24 36 42 54 77 48 57 83 86 86 86 119 157 207 135 195 229 261 335Preferred Bolt Torque (Nm) 52 98 115 146 248 130 184 269 279 279 279 451 678 1004 658 1053 1237 1408 2172Preferred Gasket Pressure (MPa) 189 200 170 200 200 197 200 200 142 119 125 121 175 169 127 136 134 138 136

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Class 600

Nominal Pipe Size (mm)15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

Gasket Contact ID (mm) 19.0 25.4 31.8 47.8 54.1 69.9 82.6 101.6 120.6 147.6 174.8 225.6 274.6 327.2 362.0 412.8 469.9 520.7 628.7Gasket Contact OD (mm) 31.8 39.6 47.8 60.5 69.9 85.9 98.6 120.6 149.4 177.8 209.5 263.7 317.5 374.7 406.4 463.5 527.1 577.9 685.8No. of Bolts 4 4 4 4 4 8 8 8 8 8 12 12 16 20 20 20 20 24 24Size of Bolts (in) 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 7/8 1 1 1 1/8 1 1/4 1 1/4 1 3/8 1 1/2 1 5/8 1 5/8 1 7/8Threads per Inch 13 11 11 11 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8

507 726 999 1079 1533 1957 2276 3325 6087 7724 10503 14639 19961 26181 26824 34963 44749 49309 59000

83.4 133.6 133.6 133.6 199.4 134 199 199 276 363 363 478 609 609 756 919 1097 1097 1502 Bolt Yield Strength (MPa) 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 Maximum Bolt Load Based on Flange Strength (MPa) 27 39 48 93 101 76 82 112 166 184 180 246 262 257 260 340 599 529 676 Maximum Bolt Load Available (kN) 36 58 58 58 86 58 86 86 119 157 157 207 263 263 327 397 474 474 649 Maximum Gasket Pressure Available (MPa) 284 318 231 214 225 236 303 207 157 163 179 169 211 201 244 227 212 231 264Maximum Gasket Pressure Recommended or Available (MPa) 200 200 200 200 200 200 200 200 157 163 179 169 200 200 200 200 200 200 200Minimum Bolt Load Based on Minimum Bolt Utilisation (kN) 24 38 38 38 57 38 57 57 80 105 105 138 176 176 218 265 316 316 433 Minimum Bolt Load Based on Minimum Gasket Pressure (kN) 9 13 17 19 27 17 20 29 53 68 61 85 87 92 94 122 157 144 172Minimum Bolt Load (kN) 24 38 38 38 57 38 57 57 80 105 105 138 176 176 218 265 316 316 433Minimum Bolt Torque (Nm) 52 104 104 104 186 104 186 186 301 452 452 669 947 947 1293 1714 2218 2218 3502Preferred Bolt Load (kN) 25 36 48 54 77 49 57 83 119 157 157 207 250 257 260 340 447 411 492Preferred Bolt Torque (Nm) 55 98 131 146 248 132 184 269 451 678 678 1004 1347 1385 1545 2202 3140 2883 3981Preferred Gasket Pressure (MPa) 200 200 194 200 200 200 200 200 157 163 179 169 200 196 194 194 200 200 200

Class 900

Nominal Pipe Size (mm)15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

Gasket Contact ID (mm) 95.3 120.6 147.6 174.8 222.3 276.4 323.8 355.6 412.8 463.5 520.7 628.7Gasket Contact OD (mm) 120.6 149.4 177.8 209.5 257.3 311.2 368.3 400.0 457.2 520.7 571.5 679.4No. of Bolts 8 8 8 12 12 16 20 20 20 20 20 20Size of Bolts (in) 7/8 1 1/8 1 1/4 1 1/8 1 3/8 1 3/8 1 3/8 1 1/2 1 5/8 1 7/8 2 2 1/2Threads per Inch 9 8 8 8 8 8 8 8 8 8 8 8

4307 6087 7724 10503 13202 16057 24164 26380 30371 44179 43577 52191

276 478 609 478 756 756 756 919 1097 1502 1728 2790 Bolt Yield Strength (MPa) 720 720 720 720 720 720 720 720 720 720 720 720 Maximum Bolt Load Based on Flange Strength (MPa) 143 208 300 256 345 324 354 463 559 772 905 1473 Maximum Bolt Load Available (kN) 119 207 263 207 327 327 327 397 474 649 746 1205 Maximum Gasket Pressure Available (MPa) 222 272 273 236 297 326 270 301 312 294 343 462Maximum Gasket Pressure Recommended or Available (MPa) 200 200 200 200 200 200 200 200 200 200 200 200Minimum Bolt Load Based on Minimum Bolt Utilisation (kN) 60 103 132 103 163 163 163 198 237 324 373 603 Minimum Bolt Load Based on Minimum Gasket Pressure (kN) 38 53 68 61 77 70 85 92 106 155 153 183Minimum Bolt Load (kN) 60 103 132 103 163 163 163 198 237 324 373 603Minimum Bolt Torque (Nm) 226 502 710 502 970 970 970 1286 1663 2627 3223 6506Preferred Bolt Load (kN) 108 152 193 175 220 201 242 264 304 442 436 522Preferred Bolt Torque (Nm) 407 739 1042 850 1306 1192 1435 1709 2131 3577 3763 5634Preferred Gasket Pressure (MPa) 200 200 200 200 200 200 200 200 200 200 200 200

Class 1500

Nominal Pipe Size (mm)15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

Gasket Contact ID (mm) 19.0 25.4 31.8 39.6 47.8 58.7 69.9 92.2 117.6 143.0 171.5 215.9 266.7 323.8 362.0 406.4 463.5 514.4 615.9

Gasket Contact Area (mm2)

Bolt Core Area (mm2)

Gasket Contact Area (mm2)

Bolt Core Area (mm2)

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Gasket Contact OD (mm) 31.8 39.6 47.8 60.5 69.9 85.9 98.6 120.6 149.2 177.8 209.5 257.3 311.2 368.3 400.0 457.2 520.7 571.5 679.4No. of Bolts 4 4 4 4 4 8 8 8 8 8 12 12 12 16 16 16 16 16 16Size of Bolts (in) 3/4 3/4 7/8 7/8 1 7/8 1 1 1/8 1 1/4 1 1/2 1 3/8 1 5/8 1 7/8 2 2 1/4 2 1/2 2 3/4 3 3 1/2Threads per Inch 10 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8

507 726 999 1637 2041 3085 3796 4756 6627 8768 11401 15387 20173 24164 22802 34456 44179 48739 64605

199.4 199.4 276.5 276.5 363.2 276 363 478 609 919 756 1097 1502 1728 2227 2790 3416 4106 5675 Bolt Yield Strength (MPa) 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 655 655 655 Maximum Bolt Load Based on Flange Strength (MPa) 63 88 116 134 162 114 160 225 309 499 465 635 924 957 1080 1359 1780 2082 2877 Maximum Bolt Load Available (kN) 86 86 119 119 157 119 157 207 263 397 327 474 649 746 962 1205 1343 1614 2230 Maximum Gasket Pressure Available (MPa) 680 474 478 292 307 310 331 348 318 362 344 370 386 494 675 560 486 530 552Maximum Gasket Pressure Recommended or Available (MPa) 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200Minimum Bolt Load Based on Minimum Bolt Utilisation (kN) 39 39 55 55 72 55 72 95 121 182 150 217 297 342 441 552 615 740 1022 Minimum Bolt Load Based on Minimum Gasket Pressure (kN) 9 13 17 29 36 27 33 42 58 77 67 90 118 106 100 151 193 213 283Minimum Bolt Load (kN) 39 39 55 55 72 55 72 95 121 182 150 217 297 342 441 552 615 740 1022Minimum Bolt Torque (Nm) 128 128 207 207 311 207 311 460 651 1178 889 1525 2408 2955 4285 5964 7308 9581 15449Preferred Bolt Load (kN) 25 36 50 82 102 77 95 119 166 219 190 256 336 302 285 431 552 609 808Preferred Bolt Torque (Nm) 82 118 189 309 441 291 410 578 894 1420 1128 1799 2722 2608 2769 4649 6557 7892 12205Preferred Gasket Pressure (MPa) 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200

Class 2500

Nominal Pipe Size (mm)15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400 450 500 600

Gasket Contact ID (mm) 19.0 25.4 31.8 39.6 47.8 58.7 69.9 92.2 117.6 143.0 171.5 215.9 270.0 317.5Gasket Contact OD (mm) 31.8 39.6 47.8 60.5 69.9 85.9 98.6 120.6 149.4 177.8 209.5 257.3 311.2 368.3No. of Bolts 4 4 4 4 4 8 8 8 8 8 8 12 12 12Size of Bolts (in) 3/4 3/4 7/8 1 1 1/8 1 1 1/8 1 1/4 1 1/2 1 3/4 2 2 2 1/2 2 3/4Threads per Inch 10 10 9 8 8 8 8 8 8 8 8 8 8 8

507 726 999 1637 2041 3085 3796 4756 6657 8768 11401 15387 18781 27362

199.4 199.4 276.5 363.2 478.4 363 478 609 919 1292 1728 1728 2790 3416 Bolt Yield Strength (MPa) 720 720 720 720 720 720 720 720 720 720 720 720 720 655 Maximum Bolt Load Based on Flange Strength (MPa) 103 138 171 233 291 167 239 340 451 701 1000 1000 1616 2101 Maximum Bolt Load Available (kN) 86 86 119 157 207 157 207 263 397 558 746 746 1205 1343 Maximum Gasket Pressure Available (MPa) 680 474 478 383 405 407 436 443 477 509 524 582 770 589Maximum Gasket Pressure Recommended or Available (MPa) 200 200 200 200 200 200 200 200 200 200 200 200 200 200Minimum Bolt Load Based on Minimum Bolt Utilisation (kN) 36 36 50 65 86 65 86 110 165 233 311 311 502 559 Minimum Bolt Load Based on Minimum Gasket Pressure (kN) 9 13 17 29 36 27 33 42 58 77 100 90 110 160Minimum Bolt Load (kN) 36 36 50 65 86 65 86 110 165 233 311 311 502 559Minimum Bolt Torque (Nm) 116 116 188 282 418 282 418 592 1071 1757 2686 2686 5422 6643Preferred Bolt Load (kN) 25 36 50 82 102 77 95 119 166 219 285 256 313 456Preferred Bolt Torque (Nm) 82 118 189 353 496 333 461 642 1078 1656 2461 2215 3379 5415Preferred Gasket Pressure (MPa) 200 200 200 200 200 200 200 200 200 200 200 200 200 200

Notes:

1. Tables are to be used only as a general guide. 2. Tables should not be considered to contain absolute values due to the large number of uncontrollable variables involved with bolted joints. 3. If there is doubt as to the proper torque value to use, it recommended that the maximum value be used. 4. All bolt torque values are based upon the use of new nuts and new bolts of proper design, acceptable quality and approved materials of construction as well as metallurgy.5. The flanges are assumed to be in good condition and in compliance with ASME B16.5 specifications. Special attention should be given to seating surface finish and flatness.6. Only torque wrenches that have been calibrated should be used. 7. Refer to Drawing No. 467972 for the flange bolting procedure to be used.8. No provisions have been made in these tables to account for vibration effects on the bolts. 9. Spiral wound gaskets are to be supplied with both outer (centering) and inner rings.

Gasket Contact Area (mm2)

Bolt Core Area (mm2)

Gasket Contact Area (mm2)

Bolt Core Area (mm2)

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Data For ASME B16.5 Flanges & ASME B16.20 Spiral Wound Gaskets

Maximum Fluid Temperature = 375

Class 150Nom. Pipe Size (inches)

0.5 0.75 1 1.25 1.5 2 2.5 3 4 5 6 8 10 12 14 16

Gsk. ID Contact (inches) 0.75 1 1.25 1.88 2.13 2.75 3.25 4 5 6.13 7.19 9.19 11.31 13.38 14.63 16.63

Gsk. OD Contact (inches) 1.25 1.56 1.88 2.38 2.75 3.38 3.88 4.75 5.88 7 8.25 10.38 12.5 14.75 16 18.25

No. of Bolts 4 4 4 4 4 4 4 4 8 8 8 8 12 12 12 16

Size of Bolts (inches) 1/2 1/2 1/2 1/2 1/2 5/8 5/8 5/8 5/8 3/4 3/4 3/4 7/8 7/8 1 1

Threads per Inch 13 13 13 13 13 11 11 11 11 10 10 10 9 9 8 8

Maximum Bolt Stress Based on Flange Strength - Carbon Steel (MPa) 231 289 372 598 720 579 534 714 394 446 603 720 477 674 445 453

Maximum Bolt Stress Based on Flange Strength - Stainless Steel (MPa) 192 240 309 497 598 481 444 593 327 370 501 598 396 560 370 376

Class 300Nom. Pipe Size (inches)

0.5 0.75 1 1.25 1.5 2 2.5 3 4 5 6 8 10 12 14 16

Gsk. ID Contact (inches) 0.75 1 1.25 1.88 2.13 2.75 3.25 4 5 6.13 7.19 9.19 11.31 13.38 14.63 16.63

Gsk. OD Contact (inches) 1.25 1.56 1.88 2.38 2.75 3.38 3.88 4.75 5.88 7 8.25 10.38 12.5 14.75 16 18.25

No. of Bolts 4 4 4 4 4 8 8 8 8 8 12 12 16 16 20 20

Size of Bolts (inches) 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 3/4 3/4 3/4 7/8 1 1 1/8 1 1/8 1 1/4

Threads per Inch 13 11 11 11 10 11 10 10 10 10 10 9 8 8 8 8

Maximum Bolt Stress Based on Flange Strength - Carbon Steel (MPa) 287 287 318 503 392 360 321 434 594 678 458 538 472 476 283 320

Maximum Bolt Stress Based on Flange Strength - Stainless Steel (MPa) 238 238 264 418 326 299 267 361 493 563 380 447 392 395 235 266

Class 600Nom. Pipe Size (inches)

0.5 0.75 1 1.25 1.5 2 2.5 3 4 5 6 8 10 12 14 16

Gsk. ID Contact (inches) 0.75 1 1.25 1.88 2.13 2.75 3.25 4 4.75 5.81 6.88 8.88 10.81 12.88 14.25 16.25

Gsk. OD Contact (inches) 1.25 1.56 1.88 2.38 2.75 3.38 3.88 4.75 5.88 7 8.25 10.38 12.5 14.75 16 18.25

No. of Bolts 4 4 4 4 4 8 8 8 8 8 12 12 16 20 20 20

Size of Bolts (inches) 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 7/8 1 1 1 1/8 1 1/4 1 1/4 1 3/8 1 1/2

Threads per Inch 13 11 11 11 10 11 10 10 9 8 8 8 8 8 8 8

Maximum Bolt Stress Based on Flange Strength - Carbon Steel (MPa) 327 289 362 695 506 572 410 563 601 507 495 515 430 421 344 370

Maximum Bolt Stress Based on Flange Strength - Stainless Steel (MPa) 272 240 301 577 420 475 341 468 499 421 411 428 357 350 286 307

Class 900Nom. Pipe Size (inches)

0.5 0.75 1 1.25 1.5 2 2.5 3 4 5 6 8 10 12 14 16

Gsk. ID Contact (inches) 3.75 4.75 5.81 6.88 8.75 10.88 12.75 14 16.25

Gsk. OD Contact (inches) 4.75 5.88 7 8.25 10.13 12.25 14.5 15.75 18

No. of Bolts 8 8 8 12 12 16 20 20 20

Size of Bolts (inches) 7/8 1 1/8 1 1/4 1 1/8 1 3/8 1 3/8 1 3/8 1 1/2 1 5/8

Threads per Inch 9 8 8 8 8 8 8 8 8

Maximum Bolt Stress Based on Flange Strength - Carbon Steel (MPa) 518 434 492 536 456 429 468 504 509

Maximum Bolt Stress Based on Flange Strength - Stainless Steel (MPa) 430 361 409 445 379 356 389 419 423

Class 1500Nom. Pipe Size (inches)

OC

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0.5 0.75 1 1.25 1.5 2 2.5 3 4 5 6 8 10 12 14 16

Gsk. ID Contact (inches) 0.75 1 1.25 1.56 1.88 2.31 2.75 3.63 4.63 5.63 6.75 8.5 10.5 12.75 14.25 16.00

Gsk. OD Contact (inches) 1.25 1.56 1.88 2.38 2.75 3.38 3.88 4.75 5.88 7 8.25 10.13 12.25 14.5 15.75 18

No. of Bolts 4 4 4 4 4 8 8 8 8 8 12 12 12 16 16 16

Size of Bolts (inches) 3/4 3/4 7/8 7/8 1 7/8 1 1 1/8 1 1/4 1 1/2 1 3/8 1 5/8 1 7/8 2 2 1/4 2 1/2

Threads per Inch 10 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8

Maximum Bolt Stress Based on Flange Strength - Carbon Steel (MPa) 314 440 418 484 446 413 441 471 507 543 615 579 615 554 485 487

Maximum Bolt Stress Based on Flange Strength - Stainless Steel (MPa) 261 365 347 402 370 343 366 391 421 451 511 481 511 460 403 405

Class 2500Nom. Pipe Size (inches)

0.5 0.75 1 1.25 1.5 2 2.5 3 4 5 6 8 10 12 14 16

Gsk. ID Contact (inches) 0.75 1 1.25 1.56 1.88 2.31 2.75 3.63 4.63 5.63 6.75 8.5 10.63 12.5

Gsk. OD Contact (inches) 1.25 1.56 1.88 2.38 2.75 3.38 3.88 4.75 5.88 7 8.25 10.13 12.25 14.5

No. of Bolts 4 4 4 4 4 8 8 8 8 8 8 12 12 12

Size of Bolts (inches) 3/4 3/4 7/8 1 1 1/8 1 1 1/8 1 1/4 1 1/2 1 3/4 2 2 2 1/2 2 3/4

Threads per Inch 10 10 9 8 8 8 8 8 8 8 8 8 8 8

Maximum Bolt Stress Based on Flange Strength - Carbon Steel (MPa) 516 690 618 642 609 459 499 558 491 543 579 579 579 615

Maximum Bolt Stress Based on Flange Strength - Stainless Steel (MPa) 429 573 513 533 506 381 414 464 408 451 481 481 481 511

Flange Sizes

ASTM A193-B7 & B16 STUD BOLTS

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

150 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

300 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

600 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

900 80 100 125 150 200 250 300 350 400 450 500 600

1500 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

2500 15 20 25 32 40 50 65 80 100 125 150 200 250 300

150 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

ASTM A193-B8 & B8M CLASS 2 STUD BOLTS

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

150 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

300 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

600 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

900 80 100 125 150 200 250 300 350

1500 15 20 25 32 40 50 65 80 100 125 150

2500 15 20 25 32 40 50 65 80 100

150 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

ASTM A193-B7 15 20 25 32 40 50 65 80 100 125 150 200 250 300 350 400

Bolt / Nut Data

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Bolt Yield Strength Ratios

MATERIAL Maximum Bolt Operating Temperature =

20 50 100 150 200 250 300 350 400 425 450 500 525 1

ASTM A193 GRADE B7 (d <= 2 1/2") 1.00 1.00 0.93 0.89 0.87 0.85 0.82 2 20 50

ASTM A193 GRADE B7 (d <= 4") 1.00 1.00 0.93 0.89 0.87 0.85 0.82 3 20 50

ASTM A193 GRADE B16 (d <= 2 1/2") 1.00 1.00 0.96 0.94 0.92 0.89 0.87 0.85 0.82 0.80 4 20 50

ASTM A193 GRADE B16 (d <= 4") 1.00 1.00 0.96 0.94 0.92 0.89 0.87 0.85 0.82 0.80 5 20 50

ASTM A193 GRADE B8 (d <= 3/4") 1.00 1.00 0.78 0.71 0.66 0.63 0.61 0.58 0.55 0.53 0.52 0.49 0.48 6 20 50

ASTM A193 GRADE B8 (d <= 1") 1.00 1.00 0.82 0.78 0.72 0.68 0.65 0.59 0.58 0.56 0.56 0.53 0.53 7 20 50

ASTM A193 GRADE B8 (d <= 1 1/4") 1.00 1.00 0.89 0.84 0.81 0.80 0.80 0.76 0.74 0.72 0.71 0.68 0.67 8 20 50

ASTM A193 GRADE B8 (d <= 1 1/2") 1.00 1.00 0.89 0.84 0.82 0.81 0.80 0.76 0.74 0.73 0.72 0.69 0.68 9 20 50

ASTM A193 GRADE B8M (d <= 3/4") 1.00 1.00 0.82 0.75 0.69 0.65 0.62 0.60 0.57 0.56 0.55 10 20 50

ASTM A193 GRADE B8M (d <= 1") 1.00 1.00 0.86 0.82 0.75 0.70 0.66 0.61 0.60 0.59 0.59 11 20 50

ASTM A193 GRADE B8M (d <= 1 1/4") 1.00 1.00 0.93 0.88 0.84 0.82 0.81 0.79 0.77 0.76 0.75 12 20 50

ASTM A193 GRADE B8M (d <= 1 1/2") 1.00 1.00 0.93 0.89 0.85 0.83 0.81 0.79 0.77 0.77 0.76 13 20 50

Bolt Yield Strength at Maximum Operating Temperature

Class 150 1/2 1/2 1/2 1/2 1/2 5/8 5/8 5/8 5/8 3/4 3/4 3/4 7/8 7/8 1 1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B16 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B8 CLASS 2 690 690 690 690 690 690 690 690 690 690 690 690 550 550 550 550

ASTM A193-B8M CLASS 2 665 665 665 665 665 665 665 665 665 665 665 665 550 550 550 550

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

Class 300 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 3/4 3/4 3/4 7/8 1 1 1/8 1 1/8 1 1/4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B16 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B8 CLASS 2 690 690 690 690 690 690 690 690 690 690 690 550 550 450 450 450

ASTM A193-B8M CLASS 2 665 665 665 665 665 665 665 665 665 665 665 550 550 450 450 450

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

Class 600 1/2 5/8 5/8 5/8 3/4 5/8 3/4 3/4 7/8 1 1 1 1/8 1 1/4 1 1/4 1 3/8 1 1/2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B16 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B8 CLASS 2 690 690 690 690 690 690 690 690 550 550 550 450 450 450 345 345

ASTM A193-B8M CLASS 2 665 665 665 665 665 665 665 665 550 550 550 450 450 450 345 345

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

TEMPERATURE (OC)

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Class 900 7/8 1 1/8 1 1/4 1 1/8 1 3/8 1 3/8 1 3/8 1 1/2 1 5/8

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ASTM A193-B7 720 720 720 720 720 720 720 720 720

ASTM A193-B16 720 720 720 720 720 720 720 720 720

ASTM A193-B8 CLASS 2 550 450 450 450 345 345 345 345

ASTM A193-B8M CLASS 2 550 450 450 450 345 345 345 345

ASTM A193-B7 720 720 720 720 720 720 720 720 720

Class 1500 3/4 3/4 7/8 7/8 1 7/8 1 1 1/8 1 1/4 1 1/2 1 3/8 1 5/8 1 7/8 2 2 1/4 2 1/2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B16 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

ASTM A193-B8 CLASS 2 690 690 550 550 550 550 550 450 450 345 345

ASTM A193-B8M CLASS 2 665 665 550 550 550 550 550 450 450 345 345

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

Class 2500 3/4 3/4 7/8 1 1 1/8 1 1 1/8 1 1/4 1 1/2 1 3/4 2 2 2 1/2 2 3/4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 655

ASTM A193-B16 720 720 720 720 720 720 720 720 720 720 720 720 720 655

ASTM A193-B8 CLASS 2 690 690 550 550 450 550 450 450 345

ASTM A193-B8M CLASS 2 665 665 550 550 450 550 450 450 345

ASTM A193-B7 720 720 720 720 720 720 720 720 720 720 720 720 720 655

Bolt / Nut Combinations

1 2

ASTM A193-B7 ASTM A194-2H

ASTM A193-B16 ASTM A194-4

ASTM A193-B8 CLASS 2 ASTM A194-8 (STRAIN HARDENED)

ASTM A193-B8M CLASS 2 ASTM A194-8M (STRAIN HARDENED)

ASTM A193-B7 ASTM A194-2H

1 2

Bolt Material Max Temp

ASTM A193-B7 300

ASTM A193-B16 425

ASTM A193-B8 CLASS 2 525

ASTM A193-B8M CLASS 2 450

ASTM A193-B7 300

Temperature Limits ( 0C)

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Gasket Data

Minimum Recommended Gasket Pressure = 70 MPa

Maximum Recommended Gasket Pressure = 200 MPa

1 2

Gasket Material Min 150

PTFE 250

FLEXIBLE GRAPHITE 450

FLEXIBLE GRAPHITE 450

Input Data

Minimum Bolt Utilisation (% of Yield Strength)

1 2 3 4 5 6 7

150 0 20 25 30 35 40

300 0 20 25 30 35 40

600 0 20 25 30 35 40

900 0 10 15 20 25 30

1500 0 10 15 20 25 27.5

2500 0 5 10 15 20 25

150 0 20 25 30 35 40

Flange Material

Flange Material

ASTM A105

ASTM A182-F304

ASTM A182-F304L

ASTM A182-F316

ASTM A182-F316L

Flange Yield Strengths

Strength Temp Strength

Operating Temp. 20 248 20 248

50 248

20 248

Material 20 50 100 150 200 250 300 350 400 450 500 550 600

ASTM A105 400 248 248 226 220 214 204 188 181 173 0 0 0 0ASTM A182-F304 550 206 206 170 155 144 135 128 124 119 115 111 107 0

Temperature Limits ( 0C)

oC

Max. Temp. Limit

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ASTM A182-F304L 550 172 172 145 132 122 114 108 104 101 98 95 92 0ASTM A182-F316 550 206 206 176 161 149 139 132 127 123 121 119 117 0ASTM A182-F316L 550 172 172 144 131 120 112 105 101 96 93 89 85 0

ASTM A105 Ref. Reduct. Reduct.

Strength Factor 1 Factor 2

248 1.00 1.00

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Bolt Torque Coefficients

ASTM A193-B7 & B16 STUD BOLTS ASTM A193-B8 & B8M CLASS 2 STUD BOLT ASTM A193-B7 & B16 STUD BOLTS

Nom. Pipe Size (inches) 1 2

18 20 24 BOLT CONDITION K BOLT CONDITION K BOLT CONDITION K

18.69 20.69 24.75 1px1 (MOLY)V 0.18 COPPER BASED ANTI-SEIZE 0.19 1px1 (MOLY)V 0.18

20.75 22.75 27 AS RECEIVED 0.20 NO LUBRICANT - CLEAN STAINLESS STEEL 0.30 AS RECEIVED 0.20

16 20 20 AS RECEIVED OR LIGHTLY OILED & LOCTITE 771 0.13 GENERAL MACHINE OIL 0.24 AS RECEIVED OR LIGHTLY OILED & LOCTITE 771 0.13

1 1/8 1 1/8 1 1/4 BOWMAN ANTI-SEIZE 0.12 LIGHTLY OILED 0.24 BOWMAN ANTI-SEIZE 0.12

8 8 8 CADMIUM PLATED 0.17 LOW FRICTION OIL 0.18 CADMIUM PLATED 0.17

561 487 479 CADMIUM PLATED (DEGREASED) 0.20 MOLYBDENUM DISULPHIDE BASED GREASE 0.17 CADMIUM PLATED (DEGREASED) 0.20

466 405 398 CADMIUM PLATED (LIGHTLY OILED) 0.14 MOLYBOND GA50 0.17 CADMIUM PLATED (LIGHTLY OILED) 0.14

CADMIUM PLATED (LIGHTLY OILED & LOCTITE 243) 0.13 NICKEL BASED ANTI-SEIZE 0.18 CADMIUM PLATED (LIGHTLY OILED & LOCTITE 243) 0.13

CLEAN, NONPLATED, AS RECEIVED 0.20 NEVER-SEIZE (PASTE) 0.21 CLEAN, NONPLATED, AS RECEIVED 0.20

Nom. Pipe Size (inches) COPPER BASED ANTI-SEIZE 0.16 COPPER BASED ANTI-SEIZE 0.16

18 20 24 DEGREASED & LOCTITE 243 0.20 DEGREASED & LOCTITE 243 0.20

18.69 20.69 24.75 EXPOSED TO ELEMENTS, BEGINNING TO OXIDISE 0.30 EXPOSED TO ELEMENTS, BEGINNING TO OXIDISE 0.30

20.75 22.75 27 GALVANISED (DEGREASED) 0.42 GALVANISED (DEGREASED) 0.42

24 24 24 GALVANISED (LIGHTLY OILED) 0.22 GALVANISED (LIGHTLY OILED) 0.22

1 1/4 1 1/4 1 1/2 GENERAL MACHINE OIL 0.20 GENERAL MACHINE OIL 0.20

8 8 8 GREASE 0.16 GREASE 0.16

376 428 365 GREASE (HEAVY) 0.14 GREASE (HEAVY) 0.14

312 356 303 HOT DIPPED GALVANISED 0.25 HOT DIPPED GALVANISED 0.25

INORGANIC SILICATE (IOZ) 0.17 INORGANIC SILICATE (IOZ) 0.17

LIGHTLY OILED 0.20 LIGHTLY OILED 0.20

Nom. Pipe Size (inches) LIGHTLY OILED & LOCTITE 243 0.14 LIGHTLY OILED & LOCTITE 243 0.14

18 20 24 LOCTITE MOLY PASTE 0.11 LOCTITE MOLY PASTE 0.11

18.5 20.5 24.75 LOW FRICTION OIL 0.15 LOW FRICTION OIL 0.15

20.75 22.75 27 MOLYBDENUM DISULPHIDE BASED GREASE 0.14 MOLYBDENUM DISULPHIDE BASED GREASE 0.14

20 24 24 MOLYBOND GA50 0.14 MOLYBOND GA50 0.14

1 5/8 1 5/8 1 7/8 MOLYKOTE 0.18 MOLYKOTE 0.18

8 8 8 MOLYKOTE P74 0.14 MOLYKOTE P74 0.14

546 482 450 NEVER-SEIZE (PASTE) 0.17 NEVER-SEIZE (PASTE) 0.17

454 400 374 NICKEL BASED ANTI-SEIZE 0.15 NICKEL BASED ANTI-SEIZE 0.15

NO LUBRICANT - CLEAN STEEL 0.25 NO LUBRICANT - CLEAN STEEL 0.25

NONPLATED, BLACK FINISH 0.30 NONPLATED, BLACK FINISH 0.30

Nom. Pipe Size (inches) PHOSPHATED (LIGHTLY OILED) 0.14 PHOSPHATED (LIGHTLY OILED) 0.14

18 20 24 PHOSPHATED (LIGHTLY OILED & LOCTITE 243) 0.11 PHOSPHATED (LIGHTLY OILED & LOCTITE 243) 0.11

18.25 20.5 24.75 PHOSPHATED (DEGREASED) 0.24 PHOSPHATED (DEGREASED) 0.24

20.5 22.5 26.75 PHOSPHATED (DEGREASED & LOCTITE 243) 0.14 PHOSPHATED (DEGREASED & LOCTITE 243) 0.14

20 20 20 SOLID PTFE FILM 0.12 SOLID PTFE FILM 0.12

1 7/8 2 2 1/2 TEFLON 7630 0.09 TEFLON 7630 0.09

8 8 8 WAXED 0.10 WAXED 0.10

514 524 528 XYLAN 0.10 XYLAN 0.10

427 435 439 ZINC PLATED 0.22 ZINC PLATED 0.22

ZINC PLATED (DRY) 0.29 ZINC PLATED (DRY) 0.29

ZINC PLATED (DEGREASED) 0.14 ZINC PLATED (DEGREASED) 0.14

Nom. Pipe Size (inches) ZINC PLATED (DEGREASED & LOCTITE 243) 0.15 ZINC PLATED (DEGREASED & LOCTITE 243) 0.15

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18 20 24 ZINC PLATED (LIGHTLY OILED) 0.18 ZINC PLATED (LIGHTLY OILED) 0.18

18.25 20.25 24.25 ZINC PLATED (LIGHTLY OILED & LOCTITE 243) 0.16 ZINC PLATED (LIGHTLY OILED & LOCTITE 243) 0.16

20.5 22.5 26.75

16 16 16 NEVER-SEIZE (PASTE) 0.17

2 3/4 3 3 1/2

8 8 8

521 507 507

433 421 421

Nom. Pipe Size (inches)

18 20 24

18 19 20

450 500 600

450 500 600

450 500 600

450 500 600

450 500 600

18 19 20

450 500 600

450 500 600

450 500 600

450 500 600

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Maximum Bolt Operating Temperature = 20

20 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.0020 1.00 1.00 1.00

1 1/8 1 1/8 1 1/4 <--- BOLT SIZES (in)

18 19 20

720 720 720 ASTM A193-B7 720 720 720

720 720 720 ASTM A193-B16 720 720 720

450 450 450 ASTM A193-B8 CLASS 2 690 690 690

450 450 450 ASTM A193-B8M CLASS 2 665 665 665

720 720 720

1 1/4 1 1/4 1 1/2 <--- BOLT SIZES (in)

18 19 20

720 720 720 ASTM A193-B7 720 720 720

720 720 720 ASTM A193-B16 720 720 720

450 450 345 ASTM A193-B8 CLASS 2 690 690 690

450 450 345 ASTM A193-B8M CLASS 2 665 665 665

720 720 720

1 5/8 1 5/8 1 7/8 <--- BOLT SIZES (in)

18 19 20

720 720 720 ASTM A193-B7 720 720 720

720 720 720 ASTM A193-B16 720 720 720

ASTM A193-B8 CLASS 2 690 690 690

ASTM A193-B8M CLASS 2 665 665 665

720 720 720

OC

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1 7/8 2 2 1/2 <--- BOLT SIZES (in)

18 19 20

720 720 720 ASTM A193-B7

720 720 720 ASTM A193-B16

ASTM A193-B8 CLASS 2

ASTM A193-B8M CLASS 2

720 720 720

2 3/4 3 3 1/2 <--- BOLT SIZES (in)

18 19 20

655 655 655 ASTM A193-B7 720 720 720

655 655 655 ASTM A193-B16 720 720 720

ASTM A193-B8 CLASS 2 690 690 550

ASTM A193-B8M CLASS 2 665 665 550

655 655 655

<--- BOLT SIZES (in)

18 19 20

ASTM A193-B7 720 720 720

ASTM A193-B16 720 720 720

ASTM A193-B8 CLASS 2 690 690 550

ASTM A193-B8M CLASS 2 665 665 550

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0

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720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

690 690 690 690 690 690 690 690 690 550 550 550 550 450 450 450

665 665 665 665 665 665 665 665 665 550 550 550 550 450 450 450

720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

690 690 690 690 690 690 690 690 550 550 450 450 450 450 450 345

665 665 665 665 665 665 665 665 550 550 450 450 450 450 450 345

720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720

690 690 690 690 690 550 550 550 450 450 450 345 345

665 665 665 665 665 550 550 550 450 450 450 345 345

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720 720 720 720 720 720 720 720 720 720 720 720

720 720 720 720 720 720 720 720 720 720 720 720

550 450 450 450 345 345 345 345

550 450 450 450 345 345 345 345

720 720 720 720 720 720 720 720 720 720 720 720 720 655 655 655

720 720 720 720 720 720 720 720 720 720 720 720 720 655 655 655

550 550 550 550 450 450 345 345

550 550 550 550 450 450 345 345

720 720 720 720 720 720 720 720 720 720 655

720 720 720 720 720 720 720 720 720 720 655

550 450 550 450 450 345

550 450 550 450 450 345