Shear Connection Design

395
UB Diagram Universal Beams to BS4 Part 1 1993 [ALL Sections] Mass Depth Width Thickness of Root per of of Web Flange Radius Designation metre Section Section M h b s t r Home kg/m mm mm mm mm mm 1 b c UB 914x419x388 388 921 420.5 21.4 36.6 24.1 2 b c UB 914x419x343 343.3 911.8 418.5 19.4 32 24.1 3 b c UB 914x305x289 289.1 926.6 307.7 19.5 32 19.1 4 b c UB 914x305x253 253.4 918.4 305.5 17.3 27.9 19.1 5 b c UB 914x305x224 224.2 910.4 304.1 15.9 23.9 19.1 6 b c UB 914x305x201 200.9 903 303.3 15.1 20.2 19.1 7 b c UB 838x292x226 226.5 850.9 293.8 16.1 26.8 17.8 8 b c UB 838x292x194 193.8 840.7 292.4 14.7 21.7 17.8 9 b c UB 838x292x176 175.9 834.9 291.7 14 18.8 17.8 10 b c UB 762x267x197 196.8 769.8 268 15.6 25.4 16.5 11 b c UB 762x267x173 173 762.2 266.7 14.3 21.6 16.5 12 b c UB 762x267x147 146.9 754 265.2 12.8 17.5 16.5 13 b c UB 762x267x134 133.9 750 264.4 12 15.5 16.5 14 b c UB 686x254x170 170.2 692.9 255.8 14.5 23.7 15.2 15 b c UB 686x254x152 152.4 687.5 254.5 13.2 21 15.2 16 b c UB 686x254x140 140.1 683.5 253.7 12.4 19 15.2 17 b c UB 686x254x125 125.2 677.9 253 11.7 16.2 15.2 18 b c UB 610x305x238 238.1 635.8 311.4 18.4 31.4 16.5 19 b c UB 610x305x179 179 620.2 307.1 14.1 23.6 16.5 20 b c UB 610x305x149 149.2 612.4 304.8 11.8 19.7 16.5 21 b c UB 610x229x140 139.9 617.2 230.2 13.1 22.1 12.7 22 b c UB 610x229x125 125.1 612.2 229 11.9 19.6 12.7 23 b c UB 610x229x113 113 607.6 228.2 11.1 17.3 12.7 24 b c UB 610x229x101 101.2 602.6 227.6 10.5 14.8 12.7 25 b c UB 533x210x122 122 544.5 211.9 12.7 21.3 12.7 26 b c UB 533x210x109 109 539.5 210.8 11.6 18.8 12.7 27 b c UB 533x210x101 101 536.7 210 10.8 17.4 12.7 28 b c UB 533x210x92 92.1 533.1 209.3 10.1 15.6 12.7 29 b c UB 533x210x82 82.2 528.3 208.8 9.6 13.2 12.7 30 b c UB 457x191x98 98.3 467.2 192.8 11.4 19.6 10.2 31 b c UB 457x191x89 89.3 463.4 191.9 10.5 17.7 10.2 32 b c UB 457x191x82 82 460 191.3 9.9 16 10.2 33 b c UB 457x191x74 74.3 457 190.4 9 14.5 10.2 34 b c UB 457x191x67 67.1 453.4 189.9 8.5 12.7 10.2 35 b c UB 457x152x82 82.1 465.8 155.3 10.5 18.9 10.2 36 b c UB 457x152x74 74.2 462 154.4 9.6 17 10.2 37 b c UB 457x152x67 67.2 458 153.8 9 15 10.2 38 b c UB 457x152x60 59.8 454.6 152.9 8.1 13.3 10.2 39 b c UB 457x152x52 52.3 449.8 152.4 7.6 10.9 10.2 40 b c UB 406x178x74 74.2 412.8 179.5 9.5 16 10.2 41 b c UB 406x178x67 67.1 409.4 178.8 8.8 14.3 10.2 42 b c UB 406x178x60 60.1 406.4 177.9 7.9 12.8 10.2 43 b c UB 406x178x54 54.1 402.6 177.7 7.7 10.9 10.2 44 b c UB 406x140x46 46 403.2 142.2 6.8 11.2 10.2 45 b c UB 406x140x39 39 398 141.8 6.4 8.6 10.2 46 b c UB 356x171x67 67.1 363.4 173.2 9.1 15.7 10.2 47 b c UB 356x171x57 57 358 172.2 8.1 13 10.2 48 b c UB 356x171x51 51 355 171.5 7.4 11.5 10.2 49 b c UB 356x171x45 45 351.4 171.1 7 9.7 10.2 50 b c UB 356x127x39 39.1 353.4 126 6.6 10.7 10.2 51 b c UB 356x127x33 33.1 349 125.4 6 8.5 10.2 52 b c UB 305x165x54 54 310.4 166.9 7.9 13.7 8.9 53 b c UB 305x165x46 46.1 306.6 165.7 6.7 11.8 8.9 54 b c UB 305x165x40 40.3 303.4 165 6 10.2 8.9 55 b c UB 305x127x48 48.1 311 125.3 9 14 8.9

description

Shear Connection Design.xls

Transcript of Shear Connection Design

Page 1: Shear Connection Design

UB

Diagram Universal Beams to BS4 Part 1 1993 [ALL Sections]

Mass Depth Width Thickness of Root Depth

per of of Web Flange Radius between

Designation metre Section Section fillets

M h b s t r d

Home kg/m mm mm mm mm mm mm

1 b c UB 914x419x388 388 921 420.5 21.4 36.6 24.1 799.6

2 b c UB 914x419x343 343.3 911.8 418.5 19.4 32 24.1 799.6

3 b c UB 914x305x289 289.1 926.6 307.7 19.5 32 19.1 824.4

4 b c UB 914x305x253 253.4 918.4 305.5 17.3 27.9 19.1 824.4

5 b c UB 914x305x224 224.2 910.4 304.1 15.9 23.9 19.1 824.4

6 b c UB 914x305x201 200.9 903 303.3 15.1 20.2 19.1 824.4

7 b c UB 838x292x226 226.5 850.9 293.8 16.1 26.8 17.8 761.7

8 b c UB 838x292x194 193.8 840.7 292.4 14.7 21.7 17.8 761.7

9 b c UB 838x292x176 175.9 834.9 291.7 14 18.8 17.8 761.7

10 b c UB 762x267x197 196.8 769.8 268 15.6 25.4 16.5 686

11 b c UB 762x267x173 173 762.2 266.7 14.3 21.6 16.5 686

12 b c UB 762x267x147 146.9 754 265.2 12.8 17.5 16.5 686

13 b c UB 762x267x134 133.9 750 264.4 12 15.5 16.5 686

14 b c UB 686x254x170 170.2 692.9 255.8 14.5 23.7 15.2 615.1

15 b c UB 686x254x152 152.4 687.5 254.5 13.2 21 15.2 615.1

16 b c UB 686x254x140 140.1 683.5 253.7 12.4 19 15.2 615.1

17 b c UB 686x254x125 125.2 677.9 253 11.7 16.2 15.2 615.1

18 b c UB 610x305x238 238.1 635.8 311.4 18.4 31.4 16.5 540

19 b c UB 610x305x179 179 620.2 307.1 14.1 23.6 16.5 540

20 b c UB 610x305x149 149.2 612.4 304.8 11.8 19.7 16.5 540

21 b c UB 610x229x140 139.9 617.2 230.2 13.1 22.1 12.7 547.6

22 b c UB 610x229x125 125.1 612.2 229 11.9 19.6 12.7 547.6

23 b c UB 610x229x113 113 607.6 228.2 11.1 17.3 12.7 547.6

24 b c UB 610x229x101 101.2 602.6 227.6 10.5 14.8 12.7 547.6

25 b c UB 533x210x122 122 544.5 211.9 12.7 21.3 12.7 476.5

26 b c UB 533x210x109 109 539.5 210.8 11.6 18.8 12.7 476.5

27 b c UB 533x210x101 101 536.7 210 10.8 17.4 12.7 476.5

28 b c UB 533x210x92 92.1 533.1 209.3 10.1 15.6 12.7 476.5

29 b c UB 533x210x82 82.2 528.3 208.8 9.6 13.2 12.7 476.5

30 b c UB 457x191x98 98.3 467.2 192.8 11.4 19.6 10.2 407.6

31 b c UB 457x191x89 89.3 463.4 191.9 10.5 17.7 10.2 407.6

32 b c UB 457x191x82 82 460 191.3 9.9 16 10.2 407.6

33 b c UB 457x191x74 74.3 457 190.4 9 14.5 10.2 407.6

34 b c UB 457x191x67 67.1 453.4 189.9 8.5 12.7 10.2 407.6

35 b c UB 457x152x82 82.1 465.8 155.3 10.5 18.9 10.2 407.6

36 b c UB 457x152x74 74.2 462 154.4 9.6 17 10.2 407.6

37 b c UB 457x152x67 67.2 458 153.8 9 15 10.2 407.6

38 b c UB 457x152x60 59.8 454.6 152.9 8.1 13.3 10.2 407.6

39 b c UB 457x152x52 52.3 449.8 152.4 7.6 10.9 10.2 407.6

40 b c UB 406x178x74 74.2 412.8 179.5 9.5 16 10.2 360.4

41 b c UB 406x178x67 67.1 409.4 178.8 8.8 14.3 10.2 360.4

42 b c UB 406x178x60 60.1 406.4 177.9 7.9 12.8 10.2 360.4

43 b c UB 406x178x54 54.1 402.6 177.7 7.7 10.9 10.2 360.4

44 b c UB 406x140x46 46 403.2 142.2 6.8 11.2 10.2 360.4

45 b c UB 406x140x39 39 398 141.8 6.4 8.6 10.2 360.4

46 b c UB 356x171x67 67.1 363.4 173.2 9.1 15.7 10.2 311.6

47 b c UB 356x171x57 57 358 172.2 8.1 13 10.2 311.6

48 b c UB 356x171x51 51 355 171.5 7.4 11.5 10.2 311.6

49 b c UB 356x171x45 45 351.4 171.1 7 9.7 10.2 311.6

50 b c UB 356x127x39 39.1 353.4 126 6.6 10.7 10.2 311.6

51 b c UB 356x127x33 33.1 349 125.4 6 8.5 10.2 311.6

52 b c UB 305x165x54 54 310.4 166.9 7.9 13.7 8.9 265.2

53 b c UB 305x165x46 46.1 306.6 165.7 6.7 11.8 8.9 265.2

54 b c UB 305x165x40 40.3 303.4 165 6 10.2 8.9 265.2

55 b c UB 305x127x48 48.1 311 125.3 9 14 8.9 265.2

Page 2: Shear Connection Design

56 b c UB 305x127x42 41.9 307.2 124.3 8 12.1 8.9 265.2

57 b c UB 305x127x37 37 304.4 123.4 7.1 10.7 8.9 265.2

58 b c UB 305x102x33 32.8 312.7 102.4 6.6 10.8 7.6 275.9

59 b c UB 305x102x28 28.2 308.7 101.8 6 8.8 7.6 275.9

60 b c UB 305x102x25 24.8 305.1 101.6 5.8 7 7.6 275.9

61 b c UB 254x146x43 43 259.6 147.3 7.2 12.7 7.6 219

62 b c UB 254x146x37 37 256 146.4 6.3 10.9 7.6 219

63 b c UB 254x146x31 31.1 251.4 146.1 6 8.6 7.6 219

64 b c UB 254x102x28 28.3 260.4 102.2 6.3 10 7.6 225.2

65 b c UB 254x102x25 25.2 257.2 101.9 6 8.4 7.6 225.2

66 b c UB 254x102x22 22 254 101.6 5.7 6.8 7.6 225.2

67 b c UB 203x133x30 30 206.8 133.9 6.4 9.6 7.6 172.4

68 b c UB 203x133x25 25.1 203.2 133.2 5.7 7.8 7.6 172.4

69 b c UB 203x102x23 23.1 203.2 101.8 5.4 9.3 7.6 169.4

70 b c UB 178x102x19 19 177.8 101.2 4.8 7.9 7.6 146.8

71 b c UB 152x89x16 16 152.4 88.7 4.5 7.7 7.6 121.8

72 b c UB 127x76x13 13 127 76 4 7.6 7.6 96.6

73 * * Additional sizes to 0

74 c UB 1016x305x487 486.6 1036.1 308.5 30 54.1 30 867.9

75 c UB 1016x305x437 436.9 1025.9 305.4 26.9 49 30 867.9

76 c UB 1016x305x393 392.7 1016 303 24.4 43.9 30 868.2

77 c UB 1016x305x349 349.4 1008.1 302 21.1 40 30 868.1

78 c UB 1016x305x314 314.3 1000 300 19.1 35.9 30 868.2

79 c UB 1016x305x272 272.3 990.1 300 16.5 31 30 868.1

80 c UB 1016x305x249 248.7 980.2 300 16.5 26 30 868.2

81 c UB 1016x305x222 222 970.3 300 16 21.1 30 868.1

UC

Diagram Universal Columns to BS4 Part 1 1993 [ALL Sections]

Mass Depth Width Thickness of Root Depth

per of of Web Flange Radius between

Designation metre Section Section fillets

M h b s t r d

Home kg/m mm mm mm mm mm mm

1 b c UC 356x406x634 633.9 474.6 424 47.6 77 15.2 290.2

2 b c UC 356x406x551 551 455.6 418.5 42.1 67.5 15.2 290.2

3 b c UC 356x406x467 467 436.6 412.2 35.8 58 15.2 290.2

4 b c UC 356x406x393 393 419 407 30.6 49.2 15.2 290.2

5 b c UC 356x406x340 339.9 406.4 403 26.6 42.9 15.2 290.2

6 b c UC 356x406x287 287.1 393.6 399 22.6 36.5 15.2 290.2

7 b c UC 356x406x235 235.1 381 394.8 18.4 30.2 15.2 290.2

8 b c UC 356x368x202 201.9 374.6 374.7 16.5 27 15.2 290.2

9 b c UC 356x368x177 177 368.2 372.6 14.4 23.8 15.2 290.2

10 b c UC 356x368x153 152.9 362 370.5 12.3 20.7 15.2 290.2

11 b c UC 356x368x129 129 355.6 368.6 10.4 17.5 15.2 290.2

12 b c UC 305x305x283 282.9 365.3 322.2 26.8 44.1 15.2 246.7

13 b c UC 305x305x240 240 352.5 318.4 23 37.7 15.2 246.7

14 b c UC 305x305x198 198.1 339.9 314.5 19.1 31.4 15.2 246.7

15 b c UC 305x305x158 158.1 327.1 311.2 15.8 25 15.2 246.7

16 b c UC 305x305x137 136.9 320.5 309.2 13.8 21.7 15.2 246.7

17 b c UC 305x305x118 117.9 314.5 307.4 12 18.7 15.2 246.7

18 b c UC 305x305x97 96.9 307.9 305.3 9.9 15.4 15.2 246.7

19 b c UC 254x254x167 167.1 289.1 265.2 19.2 31.7 12.7 200.3

20 b c UC 254x254x132 132 276.3 261.3 15.3 25.3 12.7 200.3

21 b c UC 254x254x107 107.1 266.7 258.8 12.8 20.5 12.7 200.3

22 b c UC 254x254x89 88.9 260.3 256.3 10.3 17.3 12.7 200.3

23 b c UC 254x254x73 73.1 254.1 254.6 8.6 14.2 12.7 200.3

24 b c UC 203x203x86 86.1 222.2 209.1 12.7 20.5 10.2 160.8

25 b c UC 203x203x71 71 215.8 206.4 10 17.3 10.2 160.8

26 b c UC 203x203x60 60 209.6 205.8 9.4 14.2 10.2 160.8

27 b c UC 203x203x52 52 206.2 204.3 7.9 12.5 10.2 160.8

28 b c UC 203x203x46 46.1 203.2 203.6 7.2 11 10.2 160.8

 

Page 3: Shear Connection Design

29 b c UC 152x152x37 37 161.8 154.4 8 11.5 7.6 123.6

30 b c UC 152x152x30 30 157.6 152.9 6.5 9.4 7.6 123.6

31 b c UC 152x152x23 23 152.4 152.2 5.8 6.8 7.6 123.6

SteelUK001202

500X10X200X16X8 87 500 200 10 16 452

500X10X225X16X9 93 500 225 10 16 452

550X10X225X20X1 111 550 225 10 20 494

600X10X225X20X1 123 600 225 10 20 544

600X12X250X20X1 131 600 250 12 20 544

650X12X250X20X1 136 650 250 12 20 594

650X12X300X20X1 152 650 300 12 20 594

650X12X300X25X1 174 650 300 12 25 584

HE 200 A 42.3 190 200 6.5 10 18 134HE 220 A 50.5 210 220 7 11 18 152HE 240 A 60.3 230 240 7.5 12 21 164HE 260 A 68.2 250 260 7.5 12.5 24 177HE 280 A 76.4 270 280 8 13 24 196HE 300 A 88.3 290 300 8.5 14 27 208HE 320 A 97.6 310 300 9 15.5 27 225HE 340 A 104.8 330 300 9.5 16.5 27 243HE 360 A 112.1 350 300 10 17.5 27 261HE 400 A 124.8 390 300 11 19 27 298HE 450 A 139.8 440 300 11.5 21 27 344

IPE 270 36.1 270 135 6.6 10.2 15 219.6IPE 300 42.2 300 150 7.1 10.7 15 248.6IPE 330 49.1 330 160 7.5 11.5 18 271IPE 360 57.1 360 170 8 12.7 18 298.6IPE 400 66.3 400 180 8.6 13.5 21 331IPE 450 77.6 450 190 9.4 14.6 21 378.8

Page 4: Shear Connection Design

User Regist

Second Moment Radius Elastic Plastic Buckling Torsional Warping

of Area of Gyration Modulus Modulus Parameter Index Constant

Axis x-x Axis y-y Axis x-x Axis y-y Axis x-x Axis y-y Axis x-x Axis y-y

Ix Iy rx ry Zx Zy Sx Sy u x H

cm4 cm4 cm cm cm3 cm3 cm3 cm3 dm6

719635 45438 38.2 9.59 15627 2161 17665 3341 0.885 26.7 88.9

625780 39156 37.8 9.46 13726 1871 15477 2890 0.883 30.1 75.8

504187 15597 37 6.51 10883 1014 12570 1601 0.867 31.9 31.2

436305 13301 36.8 6.42 9501 871 10942 1371 0.866 36.2 26.4

376414 11236 36.3 6.27 8269 739 9535 1163 0.861 41.3 22.1

325254 9423 35.7 6.07 7204 621 8351 982 0.854 46.8 18.4

339704 11360 34.3 6.27 7985 773 9155 1212 0.87 35 19.3

279175 9066 33.6 6.06 6641 620 7640 974 0.862 41.6 15.2

246021 7799 33.1 5.9 5893 535 6808 842 0.856 46.5 13

239957 8175 30.9 5.71 6234 610 7167 959 0.869 33.2 11.3

205282 6850 30.5 5.58 5387 514 6198 807 0.864 38.1 9.39

168502 5455 30 5.4 4470 411 5156 647 0.858 45.2 7.4

150692 4788 29.7 5.3 4018 362 4644 570 0.854 49.8 6.46

170326 6630 28 5.53 4916 518 5631 811 0.872 31.8 7.42

150355 5784 27.8 5.46 4374 455 5000 710 0.871 35.5 6.42

136267 5183 27.6 5.39 3987 409 4558 638 0.868 38.7 5.72

117992 4383 27.2 5.24 3481 346 3994 542 0.862 43.9 4.8

209471 15837 26.3 7.23 6589 1017 7486 1574 0.886 21.3 14.5

153024 11408 25.9 7.07 4935 743 5547 1144 0.886 27.7 10.2

125876 9308 25.7 7 4111 611 4594 937 0.886 32.7 8.17

111777 4505 25 5.03 3622 391 4142 611 0.875 30.6 3.99

98610 3932 24.9 4.97 3221 343 3676 535 0.873 34.1 3.45

87318 3434 24.6 4.88 2874 301 3281 469 0.87 38 2.99

75780 2915 24.2 4.75 2515 256 2881 400 0.864 43.1 2.52

76043 3388 22.1 4.67 2793 320 3196 500 0.877 27.6 2.32

66822 2943 21.9 4.6 2477 279 2828 436 0.875 30.9 1.99

61519 2692 21.9 4.57 2292 256 2612 399 0.874 33.2 1.81

55227 2389 21.7 4.51 2072 228 2360 356 0.872 36.5 1.6

47539 2007 21.3 4.38 1800 192 2059 300 0.864 41.6 1.33

45727 2347 19.1 4.33 1957 243 2232 379 0.881 25.7 1.18

41015 2089 19 4.29 1770 218 2014 338 0.88 28.3 1.04

37051 1871 18.8 4.23 1611 196 1831 304 0.877 30.9 0.922

33319 1671 18.8 4.2 1458 176 1653 272 0.877 33.9 0.818

29380 1452 18.5 4.12 1296 153 1471 237 0.872 37.9 0.705

36589 1185 18.7 3.37 1571 153 1811 240 0.873 27.4 0.591

32674 1047 18.6 3.33 1414 136 1627 213 0.873 30.2 0.518

28927 913 18.4 3.27 1263 119 1453 187 0.869 33.6 0.448

25500 795 18.3 3.23 1122 104 1287 163 0.868 37.5 0.387

21369 645 17.9 3.11 950 84.6 1096 133 0.859 43.9 0.311

27310 1545 17 4.04 1323 172 1501 267 0.882 27.6 0.608

24331 1365 16.9 3.99 1189 153 1346 237 0.88 30.5 0.533

21596 1203 16.8 3.97 1063 135 1199 209 0.88 33.8 0.466

18722 1021 16.5 3.85 930 115 1055 178 0.871 38.3 0.392

15685 538 16.4 3.03 778 75.7 888 118 0.871 38.9 0.207

12508 410 15.9 2.87 629 57.8 724 90.8 0.858 47.5 0.155

19463 1362 15.1 3.99 1071 157 1211 243 0.886 24.4 0.412

16038 1108 14.9 3.91 896 129 1010 199 0.882 28.8 0.33

14136 968 14.8 3.86 796 113 896 174 0.881 32.1 0.286

12066 811 14.5 3.76 687 94.8 775 147 0.874 36.8 0.237

10172 358 14.3 2.68 576 56.8 659 89.1 0.871 35.2 0.105

8249 280 14 2.58 473 44.7 543 70.3 0.863 42.2 0.0812

11696 1063 13 3.93 754 127 846 196 0.889 23.6 0.234

9899 896 13 3.9 646 108 720 166 0.891 27.1 0.195

8503 764 12.9 3.86 560 92.6 623 142 0.889 31 0.164

9575 461 12.5 2.74 616 73.6 711 116 0.873 23.3 0.102

   

Page 5: Shear Connection Design

8196 389 12.4 2.7 534 62.6 614 98.4 0.872 26.5 0.0846

7171 336 12.3 2.67 471 54.5 539 85.4 0.872 29.7 0.0725

6501 194 12.5 2.15 416 37.9 481 60 0.866 31.6 0.0442

5366 155 12.2 2.08 348 30.5 403 48.5 0.859 37.4 0.0349

4455 123 11.9 1.97 292 24.2 342 38.8 0.846 43.4 0.0273

6544 677 10.9 3.52 504 92 566 141 0.891 21.2 0.103

5537 571 10.8 3.48 433 78 483 119 0.89 24.3 0.0857

4413 448 10.5 3.36 351 61.3 393 94.1 0.88 29.6 0.066

4005 179 10.5 2.22 308 34.9 353 54.8 0.874 27.5 0.028

3415 149 10.3 2.15 266 29.2 306 46 0.866 31.5 0.023

2841 119 10.1 2.06 224 23.5 259 37.3 0.856 36.4 0.0182

2896 385 8.71 3.17 280 57.5 314 88.2 0.881 21.5 0.0374

2340 308 8.56 3.1 230 46.2 258 70.9 0.877 25.6 0.0294

2105 164 8.46 2.36 207 32.2 234 49.8 0.888 22.5 0.0154

1356 137 7.48 2.37 153 27 171 41.6 0.888 22.6 0.00987

834 89.8 6.41 2.1 109 20.2 123 31.2 0.89 19.6 0.0047

473 55.7 5.35 1.84 74.6 14.7 84.2 22.6 0.895 16.3 0.00199

1021420 26721 40.6 6.57 19717 1732 23200 2800 0.867 21.1 64.4

909906 23447 40.4 6.49 17739 1535 20762 2469 0.868 23.1 55.9

807689 20496 40.2 6.4 15899 1353 18539 2168 0.868 25.5 48.4

723131 18460 40.3 6.44 14346 1223 16592 1941 0.872 27.9 43.3

644212 16232 40.1 6.37 12884 1082 14851 1713 0.872 30.7 37.7

553974 14004 40 6.35 11190 934 12826 1470 0.873 35 32.2

481306 11754 39 6.09 9821 784 11350 1245 0.861 39.9 26.8

407961 9546 38 5.81 8409 636 9807 1020 0.85 45.7 21.5

User Regist

Second Moment Radius Elastic Plastic Buckling Torsional Warping

of Area of Gyration Modulus Modulus Parameter Index Constant

Axis x-x Axis y-y Axis x-x Axis y-y Axis x-x Axis y-y Axis x-x Axis y-y

Ix Iy rx ry Zx Zy Sx Sy u x H

cm4 cm4 cm cm cm3 cm3 cm3 cm3 dm6

274845 98125 18.4 11 11582 4629 14235 7108 0.843 5.46 38.8

226938 82671 18 10.9 9962 3951 12076 6058 0.841 6.05 31.1

183003 67834 17.5 10.7 8383 3291 10002 5034 0.839 6.86 24.3

146618 55367 17.1 10.5 6998 2721 8222 4154 0.837 7.87 18.9

122543 46853 16.8 10.4 6031 2325 6999 3544 0.836 8.85 15.5

99875 38677 16.5 10.3 5075 1939 5812 2949 0.835 10.2 12.3

79085 30993 16.3 10.2 4151 1570 4687 2383 0.834 12.1 9.54

66261 23688 16.1 9.6 3538 1264 3972 1920 0.844 13.4 7.16

57118 20529 15.9 9.54 3103 1102 3455 1671 0.844 15 6.09

48589 17553 15.8 9.49 2684 948 2965 1435 0.844 17 5.11

40246 14611 15.6 9.43 2264 793 2479 1199 0.844 19.9 4.18

78872 24635 14.8 8.27 4318 1529 5105 2342 0.855 7.65 6.35

64203 20315 14.5 8.15 3643 1276 4247 1951 0.854 8.74 5.03

50904 16299 14.2 8.04 2995 1037 3440 1581 0.854 10.2 3.88

38747 12569 13.9 7.9 2369 808 2680 1230 0.851 12.5 2.87

32814 10700 13.7 7.83 2048 692 2297 1053 0.851 14.2 2.39

27672 9059 13.6 7.77 1760 589 1958 895 0.85 16.2 1.98

22249 7308 13.4 7.69 1445 479 1592 726 0.85 19.3 1.56

29998 9870 11.9 6.81 2075 744 2424 1137 0.851 8.49 1.63

22529 7531 11.6 6.69 1631 576 1869 878 0.85 10.3 1.19

17510 5928 11.3 6.59 1313 458 1484 697 0.848 12.4 0.898

14268 4857 11.2 6.55 1096 379 1224 575 0.85 14.5 0.717

11407 3908 11.1 6.48 898 307 992 465 0.849 17.3 0.562

9449 3127 9.28 5.34 850 299 977 456 0.85 10.2 0.318

7618 2537 9.18 5.3 706 246 799 374 0.853 11.9 0.25

6125 2065 8.96 5.2 584 201 656 305 0.846 14.1 0.197

5259 1778 8.91 5.18 510 174 567 264 0.848 15.8 0.167

4568 1548 8.82 5.13 450 152 497 231 0.847 17.7 0.143

   

Page 6: Shear Connection Design

2210 706 6.85 3.87 273 91.5 309 140 0.848 13.3 0.0399

1748 560 6.76 3.83 222 73.3 248 112 0.849 16 0.0308

1250 400 6.54 3.7 164 52.6 182 80.2 0.84 20.7 0.0212

3692 1336 8.28 4.98 389 134 429 204 0.842 16.3 0.1085410 1955 9.17 5.51 515 178 568 271 0.842 16.9 0.1947763 2769 10.1 6 675 231 745 352 0.844 16.7 0.329

10455 3668 11 6.5 836 282 920 430 0.848 17 0.51713673 4763 11.9 7 1013 340 1112 518 0.848 18 0.78618263 6310 12.7 7.49 1260 421 1383 641 0.849 17.7 1.222929 6985 13.6 7.49 1479 466 1628 710 0.861 17.6 1.5127693 7436 14.4 7.46 1678 496 1850 756 0.87 17.9 1.8333090 7887 15.2 7.43 1891 526 2088 802 0.876 18.2 2.1845069 8564 16.8 7.34 2311 571 2562 873 0.884 19 2.9563722 9465 18.9 7.29 2896 631 3216 966 0.892 20 4.15

5790 420 11.2 3.02 429 62.2 484 97 0.884 25 0.07088356 604 12.5 3.35 557 80.5 628 125 0.882 26.9 0.126

11767 788 13.7 3.55 713 98.5 804 154 0.883 26.9 0.216266 1043 15 3.79 904 123 1019 191 0.884 27.4 0.31523128 1318 16.5 3.95 1156 146 1307 229 0.882 28.1 0.49233743 1676 18.5 4.12 1500 176 1702 276 0.878 30 0.794

Page 7: Shear Connection Design

Unregistered Copy

Torsional Area

Constant of

Inertia Section

J A

cm4 cm2

1734 494

1193 437

926 368

626 323

422 286

291 256

514 289

306 247

221 224

404 251

267 220

159 187

119 171

308 217

220 194

169 178

116 159

785 303

340 228

200 190

216 178

154 159

111 144

77 129

178 155

126 139

101 129

75.7 117

51.5 105

121 125

90.7 114

69.2 104

51.8 94.6

37.1 85.5

89.2 105

65.9 94.5

47.7 85.6

33.8 76.2

21.4 66.6

62.8 94.5

46.1 85.5

33.3 76.5

23.1 69

19 58.6

10.7 49.7

55.7 85.5

33.4 72.6

23.8 64.9

15.8 57.3

15.1 49.8

8.79 42.1

34.8 68.8

22.2 58.7

14.7 51.3

31.8 61.2

Page 8: Shear Connection Design

21.1 53.4

14.8 47.2

12.2 41.8

7.4 35.9

4.77 31.6

23.9 54.8

15.3 47.2

8.55 39.7

9.57 36.1

6.42 32

4.15 28

10.3 38.2

5.96 32

7.02 29.4

4.41 24.3

3.56 20.3

2.85 16.5

4299 620

3185 557

2330 500

1718 445

1264 400

835 347

582 317

390 283

Unregistered Copy

Torsional Area

Constant of

Inertia Section

J A

cm4 cm2

13723 808

9240 702

5808 595

3545 501

2343 433

1441 366

812 299

558 257

381 226

251 195

153 164

2034 360

1271 306

734 252

378 201

249 174

161 150

91.2 123

626 213

319 168

172 136

102 113

57.6 93.1

137 110

80.2 90.4

47.2 76.4

31.8 66.3

22.2 58.7

Page 9: Shear Connection Design

19.2 47.1

10.5 38.3

4.63 29.2

11079

11880

14100

15720

16720

17319

19319

22199

21 53.828.6 64.342.1 76.854.2 86.863.5 97.387.8 113112 124131 133153 143193 159250 178

15.9 45.919.9 53.828.1 62.637.4 72.751.3 84.566.7 98.8

Page 10: Shear Connection Design

Page 10 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.

1.0 Supported Beam : = UB 305x165x40

2.0 Beam Properties :

2.1 Area A = 51.32.2 Depth of web h = 303.4 mm2.3 Thickness of web tw = 6 mm

2.4 Shear Area As = 1820.4

3.0 Choice of Bolt :3.1 Nos. N = 43.2 Nom. Diametre d = 20 mm3.3 Hole Diametre = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 40 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375

= 550

= 1000

= 355

5.0 Design Force :

5.1 Vertical Shear = 232 kN60 % of Shear Capacity of Section

5.2 Axial Load = 120 kN

5.3 Resultant shear = = 261.2 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 367.5 kN

6.1.2 Capacity in double shear for bolt group = 735 kN

cm2

mm2

mm2

mm2

mm2

tp

bolt strength in shear ps N/mm2

strength in bearing for connected part pbs N/mm2

strength in bearing capacity of bolt pbb N/mm2

design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 11: Shear Connection Design

Page 11 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Ref.6.2.4Capacity in block shear pr = 0.6pyt[Lv + Ke(Lt - KDt)]

Page 12: Shear Connection Design

Page 12 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

7.0

7.1 Thk. of cover plate = lesser of cover plate and beam web t 6 mm7.2 length of shear face Lv = 205 mm7.3 0.5 for single line bolt,0.25 for two lines K = 0.5

7.4 length of tension face = 40 mm

7.5 net area coefficient = 1.1 (Ref. Cl. 3.4.3)7.6 So pr = 302.8 KN

8.0 Capacity in Bearing :8.1 For Connecting parts :

8.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

8.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

8.1.3 = 264 kN (for bolt group)

8.2 For bolt group :

8.2.1 = 480 kN=

8.2.2 Design Capacity of bolt group = 264 > Resultant Shear ….o.k

9.0 Check for thickness of coverplate :

9.1 Area of cover plate shall be greater than the shear area of the section.

9.2 Shear area of the section = 1820.4(Refer beam properties above)

9.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate9.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 245 = 3.7 mm < thk. provided … o.k

9.5 Provide cover plate of size 245 X 8 thk.

Lt

Ke

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 13: Shear Connection Design

Page 13 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 14: Shear Connection Design

Page 14 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

BEAM TO COLUMN & BEAM TO BEAM SHEAR CONNECTION

Page 15: Shear Connection Design

Page 15 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Page 16: Shear Connection Design

Page 16 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

C O N T E N T S

SL. NO. DESCRIPTION PAGE NOS.

TYPE - 1 : BEAM TO COLUMN WEB - COVER PLATE

1 SC1/1 Beam UB305X165X40 To Column Web2 SC2/1 Beam UB356X171X51 To Column Web3 SC3/1 Beam UB406X178X67 To Column Web4 SC4/1 Beam UB457X191X74 To Column Web5 SC5/1 Beam UB533X210X82 To Column Web6 SC6/1 Beam UB533X210X92 To Column Web7 SC7/1 Beam UB610X229X113 To Column Web8 SC8/1 Beam UB610X229X125 To Column Web9 SC9/1 Beam UB610X305X149 To Column Web

10 SC10/1 Beam UB610X305X179 To Column Web

TYPE - 2 : BEAM TO COLUMN FLANGE - END PLATE

11 SC1/2 Beam UB305X165X40 To Column Flange12 SC2/2 Beam UB356X171X51 To Column Flange13 SC3/2 Beam UB406X178X67 To Column Flange14 SC4/2 Beam UB457X191X74 To Column Flange15 SC5/2 Beam UB533X210X82 To Column Flange16 SC6/2 Beam UB533X210X92 To Column Flange17 SC7/2 Beam UB610X229X113 To Column Flange18 SC8/2 Beam UB610X229X125 To ColumnFlange19 SC9/2 Beam UB610X305X149 To Column Flange20 SC10/2 Beam UB610X305X179 To Column Flange

TYPE - 3 : BEAM TO BEAM WEB - END PLATE (Supported Member Notched At One/Both End)

21 SC1/3 Beam UB305X165X40 To Beam UB305X165X4022 SC2/3 Beam UB356X171X51 To Beam UB305X165X4023 SC3/3 Beam UB406X178X67 To Beam UB305X165X4024 SC4/3 Beam UB457X191X74 To Beam UB406X178X6725 SC6/3 Beam UB533X210X82 To Beam UB457X191X74

TYPE - 4 : BEAM TO BEAM WEB - END PLATE (Without Notching Of Supported Member)

26 SC11/4 Beam UCX152X152X23 To Beam Web27 SC12/4 Beam UCX152X152X30 To Beam Web

Connection No.

Page 17: Shear Connection Design

Page 17 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Page 18: Shear Connection Design

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176SUBJECT :

APPENDIX - 3 : SHEAR CONNECTION

BEAM TO COLUMN WEB (TYPE - 1)

Page 19: Shear Connection Design

Page 19 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = HE 220 A

2.0 Beam Properties :

2.1 Area A = 64.32.2 Depth of web h = 210 mm2.3 Thickness of web tw = 7 mm

2.4 Shear Area As = 1470

3.0 Bolt Details :3.1 Nos. N = 2 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 50 kN21 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 111.8 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 183.75 kN

6.1.2 Capacity in double shear for bolt group = 367.5 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 20: Shear Connection Design

Page 20 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 21: Shear Connection Design

Page 21 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 112.7 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 280 kN=

7.2.2 Design Capacity of bolt group = 112.7 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 1470(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 125 = 5.9 mm < thk. provided … o.k

8.5 Provide cover plate of size 125 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 22: Shear Connection Design

Page 22 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 23: Shear Connection Design

Page 23 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = HE 240 A

2.0 Beam Properties :

2.1 Area A = 76.82.2 Depth of web h = 230 mm2.3 Thickness of web tw = 7.5 mm

2.4 Shear Area As = 1725

3.0 Bolt Details :3.1 Nos. N = 2 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 65 kN24 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 119.3 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 183.75 kN

6.1.2 Capacity in double shear for bolt group = 367.5 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 24: Shear Connection Design

Page 24 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 25: Shear Connection Design

Page 25 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 120.75 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 300 kN=

7.2.2 Design Capacity of bolt group = 120.75 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 1725(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 125 = 6.9 mm < thk. provided … o.k

8.5 Provide cover plate of size 125 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 26: Shear Connection Design

Page 26 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 27: Shear Connection Design

Page 27 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = HE 260 A

2.0 Beam Properties :

2.1 Area A = 86.82.2 Depth of web h = 250 mm2.3 Thickness of web tw = 7.5 mm

2.4 Shear Area As = 1875

3.0 Bolt Details :3.1 Nos. N = 2 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 65 kN22 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 119.3 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 183.75 kN

6.1.2 Capacity in double shear for bolt group = 367.5 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 28: Shear Connection Design

Page 28 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 29: Shear Connection Design

Page 29 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 120.75 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 300 kN=

7.2.2 Design Capacity of bolt group = 120.75 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 1875(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 125 = 7.5 mm < thk. provided … o.k

8.5 Provide cover plate of size 125 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 30: Shear Connection Design

Page 30 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 31: Shear Connection Design

Page 31 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = HE 280 A

2.0 Beam Properties :

2.1 Area A = 97.32.2 Depth of web h = 270 mm2.3 Thickness of web tw = 8 mm

2.4 Shear Area As = 2160

3.0 Bolt Details :3.1 Nos. N = 3 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 165 kN48 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 192.9 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 275.625 kN

6.1.2 Capacity in double shear for bolt group = 551.25 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 32: Shear Connection Design

Page 32 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 33: Shear Connection Design

Page 33 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 193.2 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 480 kN=

7.2.2 Design Capacity of bolt group = 193.2 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 2160(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 180 = 6.0 mm < thk. provided … o.k

8.5 Provide cover plate of size 180 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 34: Shear Connection Design

Page 34 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 35: Shear Connection Design

Page 35 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = IPE 270

2.0 Beam Properties :

2.1 Area A = 45.92.2 Depth of web h = 270 mm2.3 Thickness of web tw = 6.6 mm

2.4 Shear Area As = 1782

3.0 Bolt Details :3.1 Nos. N = 3 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 120 kN42 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 156.2 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 275.625 kN

6.1.2 Capacity in double shear for bolt group = 551.25 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 36: Shear Connection Design

Page 36 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 37: Shear Connection Design

Page 37 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 159.39 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 396 kN=

7.2.2 Design Capacity of bolt group = 159.39 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 1782(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 180 = 5.0 mm < thk. provided … o.k

8.5 Provide cover plate of size 180 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 38: Shear Connection Design

Page 38 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 39: Shear Connection Design

Page 39 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = IPE 300

2.0 Beam Properties :

2.1 Area A = 53.82.2 Depth of web h = 300 mm2.3 Thickness of web tw = 7.1 mm

2.4 Shear Area As = 2130

3.0 Bolt Details :3.1 Nos. N = 3 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 135 kN40 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 168.0 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 275.625 kN

6.1.2 Capacity in double shear for bolt group = 551.25 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 40: Shear Connection Design

Page 40 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 41: Shear Connection Design

Page 41 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 171.465 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 426 kN=

7.2.2 Design Capacity of bolt group = 171.465 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 2130(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 180 = 5.9 mm < thk. provided … o.k

8.5 Provide cover plate of size 180 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 42: Shear Connection Design

Page 42 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 43: Shear Connection Design

Page 43 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = IPE 360

2.0 Beam Properties :

2.1 Area A = 72.72.2 Depth of web h = 360 mm2.3 Thickness of web tw = 8 mm

2.4 Shear Area As = 2880

3.0 Bolt Details :3.1 Nos. N = 4 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 8 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 275 kN60 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 292.6 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 367.5 kN

6.1.2 Capacity in double shear for bolt group = 735 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 44: Shear Connection Design

Page 44 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 45: Shear Connection Design

Page 45 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 257.6 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 640 kN=

7.2.2 Design Capacity of bolt group = 257.6 < Resultant shear …..Revise

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 2880(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 235 = 6.1 mm < thk. provided … o.k

8.5 Provide cover plate of size 235 X 8 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 46: Shear Connection Design

Page 46 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 47: Shear Connection Design

Page 47 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Maximum joint capacity has been calculated for combined action of vertical shear & axial load in beam causing horizontal shear in bolt. No lateral load perpendicular to beam has been considered.Refer drawing no. KE01-A1-000-PF-C-DD-0081-001 for arrangement detail.

1.0 Supported Beam : = IPE 400

2.0 Beam Properties :

2.1 Area A = 84.52.2 Depth of web h = 400 mm2.3 Thickness of web tw = 8.6 mm

2.4 Shear Area As = 3440

3.0 Bolt Details :3.1 Nos. N = 5 (on each side)3.2 Nom. Diameter d = 20 mm3.3 Hole Diameter = 22 mm3.4 Class = 8.8 As per BS 3692:2001

3.5 Shear area = 2453.6 Spacing (c/c) = 55 mm

3.7 Sectional area = 314.2

3.8 Tensile stress area = = 2453.9 Edge dist.(e) = 35 mm

4.0 Connecting Plates Cover plate thk. = 10 mm

Design strength : (As per BS 5950-1-2000)

= 375 Ref. Table 30, BS 5950-1:2000

= 460 Ref. Table 31, BS 5950-1:2000

= 1000 Ref. Table 32, BS 5950-1:2000

= 265 Ref. Table 9, BS 5950-1:2000

5.0 Design Force :

5.1 Vertical Shear = 330 kN60 % of Shear Capacity of Section

5.2 Axial Load = 100 kN

5.3 Resultant shear = = 344.8 KN

6.0 Check Bolt Group Capacities :

6.1 Capacity in Shear :

6.1.1 Capacity in single shear for bolt group = 459.375 kN

6.1.2 Capacity in double shear for bolt group = 918.75 kN

cm2

mm2

mm2

mm2

mm2

tp

Bolt strength in shear ps N/mm2

Strength in bearing for connected part pbs N/mm2

Strength in bearing capacity of bolt pbb N/mm2

Material design strength py N/mm2

SQRT.((Vert. Shear)^2 + (Axial Load)^2 )

Page 48: Shear Connection Design

Page 48 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 49: Shear Connection Design

Page 49 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

6.1.3 Block shear : Refer clause 6.2.4 of BS 5950-1:2000,Block shear failure is not consideredsince in stub type connection no notch is made in stub and thus web is not free at top.

7.0 Capacity in Bearing :7.1 For Connecting parts :

7.1.1 Capacity in bearing ( where t shall be taken as thk. of lesser of cover plate and beam web )

7.1.2 = 1 Ref. Cl. 6.3.3.3 BS 5950-1:2000

7.1.3 = 346.15 kN (for bolt group)

7.2 For bolt group :

7.2.1 = 860 kN=

7.2.2 Design Capacity of bolt group = 346.15 > Resultant Shear ….o.k

8.0 Check for thickness of coverplate :

8.1 Area of cover plate shall be greater than the shear area of the section.

8.2 Shear area of the section = 3440(Refer beam properties above)

8.3 Required thickness of plate = Shear area of section / 2 x depth of each cover plate8.4 Required depth of cover plate (nos of bolt spaces x bolt spacing) + 2x(edge distances)

= 290 = 5.9 mm < thk. provided … o.k

8.5 Provide cover plate of size 290 X 10 thk.

Pbs = kbs.d.t.pbs but < 0.5kbse.t.pbs

kbs

Pbs

Capacity of bolt group Pbb = n.d.tw.pbb

mm2

Page 50: Shear Connection Design

Page 50 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAMPROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Web Shear connection

Page 51: Shear Connection Design

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176SUBJECT :

APPENDIX - 4 : SHEAR CONNECTION

BEAM TO COLUMN FLANGE (TYPE - 2)

Page 52: Shear Connection Design

52+96/180

Page 52 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : HE 220 A COLUMN: VARIES

B = 220.0 mm

B D = 210.0 mm

T T = 11.0 mm T = 11.0 mm Minimum value of

D h1 t = 7.0 mm flange thickness for

t h1 = 152.0 mm supporting column

(Assumed

Ag = 6430 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 140 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 70 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 53: Shear Connection Design

53+96/180

Page 53 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 54: Shear Connection Design

54+96/180

Page 54 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 4

Fvb = 35 Kn1 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

8 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 98 mm

Mw = Fh x E = 3120 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 5 Kn y5 = 0 mm

Fmv = 11 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 48 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.52 + 0.32 <= 1.4 Ftot = 43 Kn Q refer page 3 of 4

0.83 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 55: Shear Connection Design

55+96/180

Page 55 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 48 Kn OK SAFE!

USE 4-M20 BOLTS Grade 8.8

Page 56: Shear Connection Design

56+96/180

Page 56 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 152.0 mm

0.6D = 126 mm

assume, Lp = 125 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1350 mm² 4.2.3 ( h )

Pvp = 214.65 Kn

Shear Force, Fv = 140 Kn < Pvp= 214.7 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

1 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 7.0 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.500 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

437.5 kN-mm

437.5 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 18.229 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 57: Shear Connection Design

57+96/180

Page 57 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 58: Shear Connection Design

58+96/180

Page 58 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 250 mm

pw ( Lp x ts ) = 231 Kn > FL = 140 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 288.75 kN

0.4885 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 59: Shear Connection Design

59+96/180

Page 59 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 60: Shear Connection Design

60+96/180

Page 60 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : HE 240 A COLUMN: VARIES

B = 240.0 mm

B D = 230.0 mm

T T = 12.0 mm T = 11.0 mm Minimum value of

D h1 t = 7.5 mm flange thickness for

t h1 = 164.0 mm supporting column

(Assumed

Ag = 7680 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 165 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 75 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 61: Shear Connection Design

61+96/180

Page 61 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 62: Shear Connection Design

62+96/180

Page 62 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 4

Fvb = 41 Kn1 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

8 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 103 mm

Mw = Fh x E = 3280 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 5 Kn y5 = 0 mm

Fmv = 11 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 54 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.59 + 0.32 <= 1.4 Ftot = 43 Kn Q refer page 3 of 4

0.90 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 63: Shear Connection Design

63+96/180

Page 63 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 54 Kn OK SAFE!

USE 4-M20 BOLTS Grade 8.8

Page 64: Shear Connection Design

64+96/180

Page 64 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 164.0 mm

0.6D = 138 mm

assume, Lp = 125 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1350 mm² 4.2.3 ( h )

Pvp = 214.65 Kn

Shear Force, Fv = 165 Kn < Pvp= 214.7 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

1 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 7.5 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.250 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

437.5 kN-mm

437.5 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 18.229 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 65: Shear Connection Design

65+96/180

Page 65 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 66: Shear Connection Design

66+96/180

Page 66 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 250 mm

pw ( Lp x ts ) = 231 Kn > FL = 165 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 288.75 kN

0.6275 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 67: Shear Connection Design

67+96/180

Page 67 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 68: Shear Connection Design

68+96/180

Page 68 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : HE 260 A COLUMN: VARIES

B = 260.0 mm

B D = 250.0 mm

T T = 12.5 mm T = 11.0 mm Minimum value of

D h1 t = 7.5 mm flange thickness for

t h1 = 177.0 mm supporting column

(Assumed

Ag = 8680 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 179 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 75 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 69: Shear Connection Design

69+96/180

Page 69 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 70: Shear Connection Design

70+96/180

Page 70 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 4

Fvb = 45 Kn1 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

8 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 103 mm

Mw = Fh x E = 3280 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 5 Kn y5 = 0 mm

Fmv = 11 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 58 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.63 + 0.32 <= 1.4 Ftot = 43 Kn Q refer page 3 of 4

0.94 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 71: Shear Connection Design

71+96/180

Page 71 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 58 Kn OK SAFE!

USE 4-M20 BOLTS Grade 8.8

Page 72: Shear Connection Design

72+96/180

Page 72 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 177.0 mm

0.6D = 150 mm

assume, Lp = 125 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1350 mm² 4.2.3 ( h )

Pvp = 214.65 Kn

Shear Force, Fv = 179 Kn < Pvp= 214.7 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

1 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 7.5 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.250 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

437.5 kN-mm

437.5 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 18.229 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 73: Shear Connection Design

73+96/180

Page 73 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 74: Shear Connection Design

74+96/180

Page 74 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 250 mm

pw ( Lp x ts ) = 231 Kn > FL = 179 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 288.75 kN

0.7196 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 75: Shear Connection Design

75+96/180

Page 75 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 76: Shear Connection Design

76+96/180

Page 76 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : HE 280 A COLUMN: VARIES

B = 280.0 mm

B D = 270.0 mm

T T = 13.0 mm T = 11.0 mm Minimum value of

D h1 t = 8.0 mm flange thickness for

t h1 = 196.0 mm supporting column

(Assumed

Ag = 9730 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 206 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 77: Shear Connection Design

77+96/180

Page 77 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 78: Shear Connection Design

78+96/180

Page 78 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 6

Fvb = 34 Kn2 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

5 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 135 mm

Mw = Fh x E = 4320 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 5 Kn y5 = 0 mm

Fmv = 5 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 41 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.44 + 0.21 <= 1.4 Ftot = 29 Kn Q refer page 3 of 4

0.65 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 79: Shear Connection Design

79+96/180

Page 79 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 41 Kn OK SAFE!

USE 6-M20 BOLTS Grade 8.8

Page 80: Shear Connection Design

80+96/180

Page 80 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 196.0 mm

0.6D = 162 mm

assume, Lp = 180 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1944 mm² 4.2.3 ( h )

Pvp = 309.096 Kn

Shear Force, Fv = 206 Kn < Pvp= 309.1 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

2 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 8.0 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.000 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

291.6667 kN-mm

291.667 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 12.153 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 81: Shear Connection Design

81+96/180

Page 81 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 82: Shear Connection Design

82+96/180

Page 82 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 360 mm

pw ( Lp x ts ) = 332.64 Kn > FL = 206 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 415.80 kN

0.4416 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 83: Shear Connection Design

83+96/180

Page 83 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 84: Shear Connection Design

84+96/180

Page 84 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : IPE 270 COLUMN: VARIES

B = 135.0 mm

B D = 270.0 mm

T T = 10.2 mm T = 11.0 mm Minimum value of

D h1 t = 6.6 mm flange thickness for

t h1 = 219.6 mm supporting column

(Assumed

Ag = 4590 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 170 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 85: Shear Connection Design

85+96/180

Page 85 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 86: Shear Connection Design

86+96/180

Page 86 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 6

Fvb = 28 Kn2 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

5 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 120 mm

Mw = Fh x E = 3840 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 4 Kn y5 = 0 mm

Fmv = 4 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 34 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.37 + 0.21 <= 1.4 Ftot = 29 Kn Q refer page 3 of 4

0.58 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 87: Shear Connection Design

87+96/180

Page 87 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 34 Kn OK SAFE!

USE 6-M20 BOLTS Grade 8.8

Page 88: Shear Connection Design

88+96/180

Page 88 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 219.6 mm

0.6D = 162 mm

assume, Lp = 180 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1944 mm² 4.2.3 ( h )

Pvp = 309.096 Kn

Shear Force, Fv = 170 Kn < Pvp= 309.1 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

2 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 6.6 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.700 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

291.6667 kN-mm

291.667 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 12.153 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 89: Shear Connection Design

89+96/180

Page 89 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 90: Shear Connection Design

90+96/180

Page 90 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 360 mm

pw ( Lp x ts ) = 332.64 Kn > FL = 170 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 415.80 kN

0.319 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 91: Shear Connection Design

91+96/180

Page 91 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 92: Shear Connection Design

92+96/180

Page 92 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : IPE 300 COLUMN: VARIES

B = 150.0 mm

B D = 300.0 mm

T T = 10.7 mm T = 11.0 mm Minimum value of

D h1 t = 7.1 mm flange thickness for

t h1 = 248.6 mm supporting column

(Assumed

Ag = 5380 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 203 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 93: Shear Connection Design

93+96/180

Page 93 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 94: Shear Connection Design

94+96/180

Page 94 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 6

Fvb = 34 Kn2 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

5 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 120 mm

Mw = Fh x E = 3840 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 4 Kn y5 = 0 mm

Fmv = 4 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 39 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.43 + 0.21 <= 1.4 Ftot = 29 Kn Q refer page 3 of 4

0.64 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 95: Shear Connection Design

95+96/180

Page 95 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 39 Kn OK SAFE!

USE 6-M20 BOLTS Grade 8.8

Page 96: Shear Connection Design

96+96/180

Page 96 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

0.6D = 180 mm

assume, Lp = 180 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1944 mm² 4.2.3 ( h )

Pvp = 309.096 Kn

Shear Force, Fv = 203 Kn < Pvp= 309.1 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

2 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 7.1 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.450 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

291.6667 kN-mm

291.667 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 12.153 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 97: Shear Connection Design

97+96/180

Page 97 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 98: Shear Connection Design

98+96/180

Page 98 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 360 mm

pw ( Lp x ts ) = 332.64 Kn > FL = 203 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 415.80 kN

0.431 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 99: Shear Connection Design

99+96/180

Page 99 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 100: Shear Connection Design

100+96/180

Page 100 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : IPE 360 COLUMN: VARIES

B = 170.0 mm

B D = 360.0 mm

T T = 12.7 mm T = 11.0 mm Minimum value of

D h1 t = 8.0 mm flange thickness for

t h1 = 298.6 mm supporting column

(Assumed

Ag = 7270 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 275 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 70 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 101: Shear Connection Design

101+96/180

Page 101 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 102: Shear Connection Design

102+96/180

Page 102 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 6

Fvb = 46 Kn2 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

5 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 125 mm

Mw = Fh x E = 4000 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 4 Kn y5 = 0 mm

Fmv = 5 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 51 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.56 + 0.21 <= 1.4 Ftot = 29 Kn Q refer page 3 of 4

0.77 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 103: Shear Connection Design

103+96/180

Page 103 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 51 Kn OK SAFE!

USE 6-M20 BOLTS Grade 8.8

Page 104: Shear Connection Design

104+96/180

Page 104 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 298.6 mm

0.6D = 216 mm

assume, Lp = 180 mm

assume, W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1944 mm² 4.2.3 ( h )

Pvp = 309.096 Kn

Shear Force, Fv = 275 Kn < Pvp= 309.1 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

2 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 8.0 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 50.000 mm > e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

291.6667 kN-mm

291.667 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 12.153 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 105: Shear Connection Design

105+96/180

Page 105 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 106: Shear Connection Design

106+96/180

Page 106 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 360 mm

pw ( Lp x ts ) = 332.64 Kn > FL = 275 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 415.80 kN

0.7401 < 1.0 Hence o.k. L2

USE 6 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 107: Shear Connection Design

107+96/180

Page 107 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 108: Shear Connection Design

108+96/180

Page 108 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

A. DESIGN LOAD

MEMBER PROFILE BEAM : IPE 400 COLUMN: VARIES

B = 180.0 mm

B D = 400.0 mm

T T = 13.5 mm T = 11.0 mm Minimum value of

D h1 t = 8.6 mm flange thickness for

t h1 = 331.0 mm supporting column

(Assumed

Ag = 8450 mm² HE 220A)

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 328 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 32 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. BEAM TO COLUMN FLANGE CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 32 Kn

P e2

s

LpT = 100 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 90 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55.0 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 75 mm BEARING strength of conn. part =pbs = 550 n/mm² TABLE 32

STEEL GRADE:S275

Page 109: Shear Connection Design

109+96/180

Page 109 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 110: Shear Connection Design

110+96/180

Page 110 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (Total) (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 6

Fvb = 55 Kn2 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

5 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 130 mm

Mw = Fh x E = 4160 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 45 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 42400 y4 = 0 mm

Fmh = 5 Kn y5 = 0 mm

Fmv = 4 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 60 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q For magnitude of

0.65 + 0.21 <= 1.4 Ftot = 29 Kn Q refer page 3 of 4

0.86 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 11.0 mm

Page 111: Shear Connection Design

111+96/180

Page 111 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Bd x t x pbs = 121.0 Kn

0.5 x e2 x t x pbs = 105.9 Kn

Pbs = 105.9 Kn > Fs = 60 Kn OK SAFE!

USE 6-M20 BOLTS Grade 8.8

Page 112: Shear Connection Design

112+96/180

Page 112 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM A )

Depth between fillets of the supported beam,

d = h1 = 331.0 mm

0.6D = 240 mm

assume, Lp = 180 mm

assume, W = 160 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1944 mm² 4.2.3 ( h )

Pvp = 309.096 Kn

Shear Force, Fv = 328 Kn > Pvp= 309.1 Kn NOT SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

2 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw(max) = min.( Tp , t ) = 8.6 mm

use, Sw = 6 mm e1 = ( W - Sg ) / 2

c = 34.700 mm < e2= 35 mm e1 = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

289.1667 kN-mm

289.167 kN-mm

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/e1

where, n= distance from centreline of bolt to prying force (n)

e1 = edge distance but less than 2* thickness of plate 3.4.3

= 24.000 mm

Q= 12.049 kN add this to tension per bolt

Considering equal moment at bolt line & root of fillet weld with web Mr =Ft .c/2

Therefore, Mb =

Page 113: Shear Connection Design

113+96/180

Page 113 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

= 525 kN-mm (eff. Depth = min. of (e2+s/2) or s)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep= py.(eff width).(plate thk.)2 / 4

Page 114: Shear Connection Design

114+96/180

Page 114 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

E. WELD STRENGTH

Try 8 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 5.6 mm

1. LONGITUDINAL SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )= 2 ( L2 )

Lw = 360 mm

pw ( Lp x ts ) = 443.52 Kn > FL = 328 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = Calclated as per clause 6.8.7.3 of BS 5950-1 : 2000

100 kN L1

(symbols as per BS 5950-1:2000)

45

where k = 1.25 554.40 kN

0.58 < 1.0 Hence o.k. L2

USE 8 mm FILLET WELD

LONGL. SHEAR CAP. OF WEB WELD (PL) =

Tension on web weld, FT =

Tranverse capacity of weld, PT = K. PL

Angle of inclination of FT with throat of weld =

Therefore, PT =

Therefore, Relationship (FL/PL)2 + (FT/PT)2 =

Page 115: Shear Connection Design

115+96/180

Page 115 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Column Flange Shear connection

Page 116: Shear Connection Design

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176SUBJECT :

APPENDIX - 5 : SHEAR CONNECTION

BEAM TO BEAM WEB (TYPE - 3)

Page 117: Shear Connection Design

117+37/180

Page 117 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 220 A BEAM B: HE 220 A

B = 220.0 mm B = 220.0 mm

B D = 210.0 mm D = 210.0 mm

T T = 11.0 mm T = 11.0 mm

D h1 t = 7.0 mm t = 7.0 mm

t h1 = 152.0 mm h1 = 152.0 mm

k = 29.0 mm k = 29.0 mm

Ag = 6430 mm² Ag = 6430 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 60 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 60 Kn

Sg = 120 mm a = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 70 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 30 mm

C2 = 30 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 275 n/mm²

Page 118: Shear Connection Design

118+37/180

Page 118 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 119: Shear Connection Design

119+37/180

Page 119 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 15 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 98 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 15 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.42 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.0 mm

Page 120: Shear Connection Design

120+37/180

Page 120 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 77.0 Kn

0.5 x e2 x t x pbs = 77.0 Kn

Pbs = 77.0 Kn > Fs = 30 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 121: Shear Connection Design

121+37/180

Page 121 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 152.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 240.57 Kn

Shear Force, Fv = 60 Kn < Pvp= 240.6 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.2 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.5 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 122: Shear Connection Design

122+37/180

Page 122 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.545 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 123: Shear Connection Design

123+37/180

Page 123 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 60 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 851 mm²

Pvb = 140.3 Kn > Fv = 60 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 240.63 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 26250 mm³ (Refer calculation below)

Mc = 7.2 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 7.2 Kn-m < Mc = 7.2 Kn OK SAFE!

7.0 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 124: Shear Connection Design

124+37/180

Page 124 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

150.0At = 1050 mm²

yAw = 1050 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 75 mm

y1 = 0.00 mm

0.0 y2 = 75.00 mm

Page 125: Shear Connection Design

125+37/180

Page 125 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 75 mm

c = 75 mm

moment of inertia, Ix-x

I x-x = 1968750

section modulus, Z

Z = I x-x / c

Z = 26250 mm³

mm4

Page 126: Shear Connection Design

126+37/180

Page 126 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 127: Shear Connection Design

127+37/180

Page 127 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 240 A BEAM B: HE 220 A

B = 240.0 mm B = 220.0 mm

B D = 230.0 mm D = 210.0 mm

T T = 12.0 mm T = 11.0 mm

D h1 t = 7.5 mm t = 7.0 mm

t h1 = 164.0 mm h1 = 152.0 mm

k = 33.0 mm k = 29.0 mm

Ag = 7680 mm² Ag = 6430 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 58 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 58 Kn

Sg = 120 mm a = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 75 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 35 mm

C2 = 50 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 128: Shear Connection Design

128+37/180

Page 128 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 129: Shear Connection Design

129+37/180

Page 129 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 15 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 103 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 15 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.41 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.0 mm

Page 130: Shear Connection Design

130+37/180

Page 130 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 77.0 Kn

0.5 x e2 x t x pbs = 77.0 Kn

Pbs = 77.0 Kn > Fs = 29 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 131: Shear Connection Design

131+37/180

Page 131 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 164.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 58 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.5 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.25 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 132: Shear Connection Design

132+37/180

Page 132 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 133: Shear Connection Design

133+37/180

Page 133 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 58 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 911 mm²

Pvb = 144.9 Kn > Fv = 58 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 248.44 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 26281 mm³ (Refer calculation below)

Mc = 7.0 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 7.0 Kn-m < Mc = 7.0 Kn OK SAFE!

7.5 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 134: Shear Connection Design

134+37/180

Page 134 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

145.0At = 1088 mm²

yAw = 1088 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 73 mm

y1 = 0.00 mm

0.0 y2 = 72.50 mm

Page 135: Shear Connection Design

135+37/180

Page 135 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 73 mm

c = 73 mm

moment of inertia, Ix-x

I x-x = 1905390.625

section modulus, Z

Z = I x-x / c

Z = 26281.25 mm³

mm4

Page 136: Shear Connection Design

136+37/180

Page 136 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 137: Shear Connection Design

137+37/180

Page 137 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 240 A BEAM B: HE 240 A

B = 240.0 mm B = 240.0 mm

B D = 230.0 mm D = 230.0 mm

T T = 12.0 mm T = 12.0 mm

D h1 t = 7.5 mm t = 7.5 mm

t h1 = 164.0 mm h1 = 164.0 mm

k = 33.0 mm k = 33.0 mm

Ag = 7680 mm² Ag = 7680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 65 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 65 Kn

Sg = 120 mm a = 130 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 75 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 35 mm

C2 = 35 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 138: Shear Connection Design

138+37/180

Page 138 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 139: Shear Connection Design

139+37/180

Page 139 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 16 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 103 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 16 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.09 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.42 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 140: Shear Connection Design

140+37/180

Page 140 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 33 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 141: Shear Connection Design

141+37/180

Page 141 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 164.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 65 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.5 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.25 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 142: Shear Connection Design

142+37/180

Page 142 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 143: Shear Connection Design

143+37/180

Page 143 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 65 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 911 mm²

Pvb = 144.9 Kn > Fv = 65 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 248.44 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 32000 mm³ (Refer calculation below)

Mc = 8.5 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 8.5 Kn-m < Mc = 8.5 Kn OK SAFE!

7.5 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 144: Shear Connection Design

144+37/180

Page 144 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

160.0At = 1200 mm²

yAw = 1200 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 80 mm

y1 = 0.00 mm

0.0 y2 = 80.00 mm

Page 145: Shear Connection Design

145+37/180

Page 145 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 80 mm

c = 80 mm

moment of inertia, Ix-x

I x-x = 2560000

section modulus, Z

Z = I x-x / c

Z = 32000 mm³

mm4

Page 146: Shear Connection Design

146+37/180

Page 146 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 147: Shear Connection Design

147+37/180

Page 147 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 260 A BEAM B: HE 220 A

B = 260.0 mm B = 220.0 mm

B D = 250.0 mm D = 210.0 mm

T T = 12.5 mm T = 11.0 mm

D h1 t = 7.5 mm t = 7.0 mm

t h1 = 177.0 mm h1 = 152.0 mm

k = 36.5 mm k = 29.0 mm

Ag = 8680 mm² Ag = 6430 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 46 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 46 Kn

Sg = 120 mm a = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 80 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 148: Shear Connection Design

148+37/180

Page 148 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 149: Shear Connection Design

149+37/180

Page 149 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 12 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 12 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.06 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.40 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.0 mm

Page 150: Shear Connection Design

150+37/180

Page 150 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 77.0 Kn

0.5 x e2 x t x pbs = 77.0 Kn

Pbs = 77.0 Kn > Fs = 23 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 151: Shear Connection Design

151+37/180

Page 151 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 177.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 46 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.5 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.25 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 152: Shear Connection Design

152+37/180

Page 152 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 153: Shear Connection Design

153+37/180

Page 153 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 46 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 911 mm²

Pvb = 144.9 Kn > Fv = 46 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 248.44 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 21125 mm³ (Refer calculation below)

Mc = 5.6 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 5.5 Kn-m < Mc = 5.6 Kn OK SAFE!

7.5 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 154: Shear Connection Design

154+37/180

Page 154 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

130.0At = 975 mm²

yAw = 975 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 65 mm

y1 = 0.00 mm

0.0 y2 = 65.00 mm

Page 155: Shear Connection Design

155+37/180

Page 155 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 65 mm

c = 65 mm

moment of inertia, Ix-x

I x-x = 1373125

section modulus, Z

Z = I x-x / c

Z = 21125 mm³

mm4

Page 156: Shear Connection Design

156+37/180

Page 156 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 157: Shear Connection Design

157+37/180

Page 157 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 260 A BEAM B: HE 240 A

B = 260.0 mm B = 240.0 mm

B D = 250.0 mm D = 230.0 mm

T T = 12.5 mm T = 12.0 mm

D h1 t = 7.5 mm t = 7.5 mm

t h1 = 177.0 mm h1 = 164.0 mm

k = 36.5 mm k = 33.0 mm

Ag = 8680 mm² Ag = 7680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 57 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 57 Kn

Sg = 120 mm a = 130 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 60 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 158: Shear Connection Design

158+37/180

Page 158 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 159: Shear Connection Design

159+37/180

Page 159 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 14 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 14 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.41 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 160: Shear Connection Design

160+37/180

Page 160 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 29 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 161: Shear Connection Design

161+37/180

Page 161 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 177.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 57 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.5 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.25 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 162: Shear Connection Design

162+37/180

Page 162 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 163: Shear Connection Design

163+37/180

Page 163 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 57 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 911 mm²

Pvb = 144.9 Kn > Fv = 57 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 248.44 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 28125 mm³ (Refer calculation below)

Mc = 7.5 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 7.4 Kn-m < Mc = 7.5 Kn OK SAFE!

7.5 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 164: Shear Connection Design

164+37/180

Page 164 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

150.0At = 1125 mm²

yAw = 1125 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 75 mm

y1 = 0.00 mm

0.0 y2 = 75.00 mm

Page 165: Shear Connection Design

165+37/180

Page 165 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 75 mm

c = 75 mm

moment of inertia, Ix-x

I x-x = 2109375

section modulus, Z

Z = I x-x / c

Z = 28125 mm³

mm4

Page 166: Shear Connection Design

166+37/180

Page 166 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 167: Shear Connection Design

167+37/180

Page 167 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 260 A BEAM B: HE 260 A

B = 260.0 mm B = 260.0 mm

B D = 250.0 mm D = 250.0 mm

T T = 12.5 mm T = 12.5 mm

D h1 t = 7.5 mm t = 7.5 mm

t h1 = 177.0 mm h1 = 177.0 mm

k = 36.5 mm k = 36.5 mm

Ag = 8680 mm² Ag = 8680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 68 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 68 Kn

Sg = 120 mm a = 140 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 40 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 168: Shear Connection Design

168+37/180

Page 168 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 169: Shear Connection Design

169+37/180

Page 169 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 17 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 17 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.09 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.43 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 170: Shear Connection Design

170+37/180

Page 170 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 34 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 171: Shear Connection Design

171+37/180

Page 171 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 177.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 68 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.5 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.25 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 172: Shear Connection Design

172+37/180

Page 172 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 173: Shear Connection Design

173+37/180

Page 173 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 68 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 911 mm²

Pvb = 144.9 Kn > Fv = 68 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 248.44 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 36125 mm³ (Refer calculation below)

Mc = 9.6 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 9.5 Kn-m < Mc = 9.6 Kn OK SAFE!

7.5 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 174: Shear Connection Design

174+37/180

Page 174 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

170.0At = 1275 mm²

yAw = 1275 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 85 mm

y1 = 0.00 mm

0.0 y2 = 85.00 mm

Page 175: Shear Connection Design

175+37/180

Page 175 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 85 mm

c = 85 mm

moment of inertia, Ix-x

I x-x = 3070625

section modulus, Z

Z = I x-x / c

Z = 36125 mm³

mm4

Page 176: Shear Connection Design

176+37/180

Page 176 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 177: Shear Connection Design

177+37/180

Page 177 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 280 A BEAM B: HE 220 A

B = 280.0 mm B = 220.0 mm

B D = 270.0 mm D = 210.0 mm

T T = 13.0 mm T = 11.0 mm

D h1 t = 8.0 mm t = 7.0 mm

t h1 = 196.0 mm h1 = 152.0 mm

k = 37.0 mm k = 29.0 mm

Ag = 9730 mm² Ag = 6430 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 57 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 57 Kn

Sg = 120 mm a = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 90 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 178: Shear Connection Design

178+37/180

Page 178 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 179: Shear Connection Design

179+37/180

Page 179 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 14 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 14 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.41 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.0 mm

Page 180: Shear Connection Design

180+37/180

Page 180 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 77.0 Kn

0.5 x e2 x t x pbs = 77.0 Kn

Pbs = 77.0 Kn > Fs = 29 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 181: Shear Connection Design

181+37/180

Page 181 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 196.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 57 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.8 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 182: Shear Connection Design

182+37/180

Page 182 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 183: Shear Connection Design

183+37/180

Page 183 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 57 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 972 mm²

Pvb = 154.5 Kn > Fv = 57 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 265 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 26133 mm³ (Refer calculation below)

Mc = 6.9 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 6.8 Kn-m < Mc = 6.9 Kn OK SAFE!

8.0 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 184: Shear Connection Design

184+37/180

Page 184 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

140.0At = 1120 mm²

yAw = 1120 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 70 mm

y1 = 0.00 mm

0.0 y2 = 70.00 mm

Page 185: Shear Connection Design

185+37/180

Page 185 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 70 mm

c = 70 mm

moment of inertia, Ix-x

I x-x = 1829333.33333333

section modulus, Z

Z = I x-x / c

Z = 26133 mm³

mm4

Page 186: Shear Connection Design

186+37/180

Page 186 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 187: Shear Connection Design

187+37/180

Page 187 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 280 A BEAM B: HE 240 A

B = 280.0 mm B = 240.0 mm

B D = 270.0 mm D = 230.0 mm

T T = 13.0 mm T = 12.0 mm

D h1 t = 8.0 mm t = 7.5 mm

t h1 = 196.0 mm h1 = 164.0 mm

k = 37.0 mm k = 33.0 mm

Ag = 9730 mm² Ag = 7680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 65 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 65 Kn

Sg = 120 mm a = 130 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 75 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 188: Shear Connection Design

188+37/180

Page 188 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 189: Shear Connection Design

189+37/180

Page 189 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 16 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 16 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.09 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.42 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 190: Shear Connection Design

190+37/180

Page 190 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 33 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 191: Shear Connection Design

191+37/180

Page 191 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 196.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 65 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.8 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 192: Shear Connection Design

192+37/180

Page 192 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 193: Shear Connection Design

193+37/180

Page 193 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 65 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 972 mm²

Pvb = 154.5 Kn > Fv = 65 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 265 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 32033 mm³ (Refer calculation below)

Mc = 8.5 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 8.5 Kn-m < Mc = 8.5 Kn OK SAFE!

8.0 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 194: Shear Connection Design

194+37/180

Page 194 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

155.0At = 1240 mm²

yAw = 1240 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 78 mm

y1 = 0.00 mm

0.0 y2 = 77.50 mm

Page 195: Shear Connection Design

195+37/180

Page 195 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 78 mm

c = 78 mm

moment of inertia, Ix-x

I x-x = 2482583.33333333

section modulus, Z

Z = I x-x / c

Z = 32033 mm³

mm4

Page 196: Shear Connection Design

196+37/180

Page 196 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 197: Shear Connection Design

197+37/180

Page 197 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 280 A BEAM B: HE 260 A

B = 280.0 mm B = 260.0 mm

B D = 270.0 mm D = 250.0 mm

T T = 13.0 mm T = 12.5 mm

D h1 t = 8.0 mm t = 7.5 mm

t h1 = 196.0 mm h1 = 177.0 mm

k = 37.0 mm k = 36.5 mm

Ag = 9730 mm² Ag = 8680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 72 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 72 Kn

Sg = 120 mm a = 140 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 60 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 198: Shear Connection Design

198+37/180

Page 198 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 199: Shear Connection Design

199+37/180

Page 199 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 18 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 18 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.10 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.43 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 200: Shear Connection Design

200+37/180

Page 200 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 36 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 201: Shear Connection Design

201+37/180

Page 201 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 196.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 72 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.8 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 202: Shear Connection Design

202+37/180

Page 202 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 203: Shear Connection Design

203+37/180

Page 203 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 72 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 972 mm²

Pvb = 154.5 Kn > Fv = 72 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 265 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 38533 mm³ (Refer calculation below)

Mc = 10.2 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 10.1 Kn-m < Mc = 10.2 Kn OK SAFE!

8.0 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 204: Shear Connection Design

204+37/180

Page 204 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

170.0At = 1360 mm²

yAw = 1360 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 85 mm

y1 = 0.00 mm

0.0 y2 = 85.00 mm

Page 205: Shear Connection Design

205+37/180

Page 205 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 85 mm

c = 85 mm

moment of inertia, Ix-x

I x-x = 3275333.33333333

section modulus, Z

Z = I x-x / c

Z = 38533 mm³

mm4

Page 206: Shear Connection Design

206+37/180

Page 206 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 207: Shear Connection Design

207+37/180

Page 207 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 280 A BEAM B: HE 280 A

B = 280.0 mm B = 280.0 mm

B D = 270.0 mm D = 270.0 mm

T T = 13.0 mm T = 13.0 mm

D h1 t = 8.0 mm t = 8.0 mm

t h1 = 196.0 mm h1 = 196.0 mm

k = 37.0 mm k = 37.0 mm

Ag = 9730 mm² Ag = 9730 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 85 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 85 Kn

Sg = 120 mm a = 150 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 40 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 208: Shear Connection Design

208+37/180

Page 208 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 209: Shear Connection Design

209+37/180

Page 209 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 21 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 108 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 21 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.12 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.45 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 8.0 mm

Page 210: Shear Connection Design

210+37/180

Page 210 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 88.0 Kn

0.5 x e2 x t x pbs = 88.0 Kn

Pbs = 88.0 Kn > Fs = 43 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 211: Shear Connection Design

211+37/180

Page 211 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 196.0 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 85 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.8 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 212: Shear Connection Design

212+37/180

Page 212 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 213: Shear Connection Design

213+37/180

Page 213 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 85 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 972 mm²

Pvb = 154.5 Kn > Fv = 85 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 265 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 48133 mm³ (Refer calculation below)

Mc = 12.8 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 12.8 Kn-m < Mc = 12.8 Kn OK SAFE!

8.0 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 214: Shear Connection Design

214+37/180

Page 214 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

190.0At = 1520 mm²

yAw = 1520 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 95 mm

y1 = 0.00 mm

0.0 y2 = 95.00 mm

Page 215: Shear Connection Design

215+37/180

Page 215 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 95 mm

c = 95 mm

moment of inertia, Ix-x

I x-x = 4572666.66666667

section modulus, Z

Z = I x-x / c

Z = 48133 mm³

mm4

Page 216: Shear Connection Design

216+37/180

Page 216 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 217: Shear Connection Design

217+37/180

Page 217 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : HE 280 A BEAM B: IPE 270

B = 280.0 mm B = 135.0 mm

B D = 270.0 mm D = 270.0 mm

T T = 13.0 mm T = 10.2 mm

D h1 t = 8.0 mm t = 6.6 mm

t h1 = 196.0 mm h1 = 219.6 mm

k = 37.0 mm k = 25.2 mm

Ag = 9730 mm² Ag = 4590 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 170 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 170 Kn

Sg = 120 mm a = 77.5 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 80 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 40 mm

C2 = 25 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 218: Shear Connection Design

218+37/180

Page 218 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 219: Shear Connection Design

219+37/180

Page 219 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb2 x s

Nb = nos.of boltsY

Nb = 6 Fmh

Fvb = 28 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 135 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 28 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.15 + 0.22 <= 1.4 Ftot = 30.6 Kn

0.38 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 6.6 mm

Page 220: Shear Connection Design

220+37/180

Page 220 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 72.6 Kn

0.5 x e2 x t x pbs = 72.6 Kn

Pbs = 72.6 Kn > Fs = 57 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 6-M20 BOLTS Grade 8.8

Page 221: Shear Connection Design

221+37/180

Page 221 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 196.0 mm

Lp = 190 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 2052 mm² 4.2.3 ( h )

Pvp = 326.268 Kn

Shear Force, Fv = 170 Kn < Pvp= 326.3 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

2 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.8 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

Moment at root of filletweld with web (Mb) 0.3 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 13.889 kN add this to tension per bolt

Page 222: Shear Connection Design

222+37/180

Page 222 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 223: Shear Connection Design

223+37/180

Page 223 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 380 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 351.12 Kn > 170 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 2

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 360 mm

TENSION CAPACITY OF WEB WELD = 665.28 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 1368 mm²

Pvb = 217.5 Kn > Fv = 170 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 180 mm

Le x t x py = 381.6 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 56033 mm³ (Refer calculation below)

Mc = 14.8 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 13.2 Kn-m < Mc = 14.8 Kn OK SAFE!

8.0 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 224: Shear Connection Design

224+37/180

Page 224 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

205.0At = 1640 mm²

yAw = 1640 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 103 mm

y1 = 0.00 mm

0.0 y2 = 102.50 mm

Page 225: Shear Connection Design

225+37/180

Page 225 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 103 mm

c = 103 mm

moment of inertia, Ix-x

I x-x = 5743416.66666667

section modulus, Z

Z = I x-x / c

Z = 56033 mm³

mm4

Page 226: Shear Connection Design

226+37/180

Page 226 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 227: Shear Connection Design

227+37/180

Page 227 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 270 BEAM B: HE 220 A

B = 135.0 mm B = 220.0 mm

B D = 270.0 mm D = 210.0 mm

T T = 10.2 mm T = 11.0 mm

D h1 t = 6.6 mm t = 7.0 mm

t h1 = 219.6 mm h1 = 152.0 mm

k = 25.2 mm k = 29.0 mm

Ag = 4590 mm² Ag = 6430 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 58 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 58 Kn

Sg = 120 mm a = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 90 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 228: Shear Connection Design

228+37/180

Page 228 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 229: Shear Connection Design

229+37/180

Page 229 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 15 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 15 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.41 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.0 mm

Page 230: Shear Connection Design

230+37/180

Page 230 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 77.0 Kn

0.5 x e2 x t x pbs = 77.0 Kn

Pbs = 77.0 Kn > Fs = 29 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 231: Shear Connection Design

231+37/180

Page 231 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 219.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 58 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 3.96 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.7 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 232: Shear Connection Design

232+37/180

Page 232 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 233: Shear Connection Design

233+37/180

Page 233 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 58 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 802 mm²

Pvb = 127.5 Kn > Fv = 58 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 218.63 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 26428 mm³ (Refer calculation below)

Mc = 7.0 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 7.0 Kn-m < Mc = 7.0 Kn OK SAFE!

6.6 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 234: Shear Connection Design

234+37/180

Page 234 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

155.0At = 1023 mm²

yAw = 1023 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 78 mm

y1 = 0.00 mm

0.0 y2 = 77.50 mm

Page 235: Shear Connection Design

235+37/180

Page 235 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 78 mm

c = 78 mm

moment of inertia, Ix-x

I x-x = 2048131.25

section modulus, Z

Z = I x-x / c

Z = 26428 mm³

mm4

Page 236: Shear Connection Design

236+37/180

Page 236 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 237: Shear Connection Design

237+37/180

Page 237 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 270 BEAM B: HE 240 A

B = 135.0 mm B = 240.0 mm

B D = 270.0 mm D = 230.0 mm

T T = 10.2 mm T = 12.0 mm

D h1 t = 6.6 mm t = 7.5 mm

t h1 = 219.6 mm h1 = 164.0 mm

k = 25.2 mm k = 33.0 mm

Ag = 4590 mm² Ag = 7680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 64 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 64 Kn

Sg = 120 mm a = 130 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 75 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 238: Shear Connection Design

238+37/180

Page 238 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 239: Shear Connection Design

239+37/180

Page 239 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 16 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 16 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.09 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.42 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 240: Shear Connection Design

240+37/180

Page 240 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 32 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 241: Shear Connection Design

241+37/180

Page 241 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 219.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 64 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 3.96 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.7 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 242: Shear Connection Design

242+37/180

Page 242 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 243: Shear Connection Design

243+37/180

Page 243 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 64 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 802 mm²

Pvb = 127.5 Kn > Fv = 64 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 218.63 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 31790 mm³ (Refer calculation below)

Mc = 8.4 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 8.3 Kn-m < Mc = 8.4 Kn OK SAFE!

6.6 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 244: Shear Connection Design

244+37/180

Page 244 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

170.0At = 1122 mm²

yAw = 1122 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 85 mm

y1 = 0.00 mm

0.0 y2 = 85.00 mm

Page 245: Shear Connection Design

245+37/180

Page 245 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 85 mm

c = 85 mm

moment of inertia, Ix-x

I x-x = 2702150

section modulus, Z

Z = I x-x / c

Z = 31790 mm³

mm4

Page 246: Shear Connection Design

246+37/180

Page 246 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 247: Shear Connection Design

247+37/180

Page 247 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 270 BEAM B: HE 260 A

B = 135.0 mm B = 260.0 mm

B D = 270.0 mm D = 250.0 mm

T T = 10.2 mm T = 12.5 mm

D h1 t = 6.6 mm t = 7.5 mm

t h1 = 219.6 mm h1 = 177.0 mm

k = 25.2 mm k = 36.5 mm

Ag = 4590 mm² Ag = 8680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 71 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 71 Kn

Sg = 120 mm a = 140 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 60 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 248: Shear Connection Design

248+37/180

Page 248 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 249: Shear Connection Design

249+37/180

Page 249 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 18 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 18 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.10 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.43 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 250: Shear Connection Design

250+37/180

Page 250 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 36 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 251: Shear Connection Design

251+37/180

Page 251 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 219.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 71 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 3.96 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.7 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 252: Shear Connection Design

252+37/180

Page 252 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 253: Shear Connection Design

253+37/180

Page 253 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 71 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 802 mm²

Pvb = 127.5 Kn > Fv = 71 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 218.63 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 37648 mm³ (Refer calculation below)

Mc = 10.0 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 9.9 Kn-m < Mc = 10.0 Kn OK SAFE!

6.6 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 254: Shear Connection Design

254+37/180

Page 254 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

185.0At = 1221 mm²

yAw = 1221 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 93 mm

y1 = 0.00 mm

0.0 y2 = 92.50 mm

Page 255: Shear Connection Design

255+37/180

Page 255 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 93 mm

c = 93 mm

moment of inertia, Ix-x

I x-x = 3482393.75

section modulus, Z

Z = I x-x / c

Z = 37648 mm³

mm4

Page 256: Shear Connection Design

256+37/180

Page 256 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 257: Shear Connection Design

257+37/180

Page 257 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 270 BEAM B: HE 280 A

B = 135.0 mm B = 280.0 mm

B D = 270.0 mm D = 270.0 mm

T T = 10.2 mm T = 13.0 mm

D h1 t = 6.6 mm t = 8.0 mm

t h1 = 219.6 mm h1 = 196.0 mm

k = 25.2 mm k = 37.0 mm

Ag = 4590 mm² Ag = 9730 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 81 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 81 Kn

Sg = 120 mm a = 150 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 40 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 258: Shear Connection Design

258+37/180

Page 258 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 259: Shear Connection Design

259+37/180

Page 259 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 20 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 20 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.11 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.44 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 8.0 mm

Page 260: Shear Connection Design

260+37/180

Page 260 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 88.0 Kn

0.5 x e2 x t x pbs = 88.0 Kn

Pbs = 88.0 Kn > Fs = 41 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 261: Shear Connection Design

261+37/180

Page 261 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 219.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 81 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 3.96 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.7 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 262: Shear Connection Design

262+37/180

Page 262 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 263: Shear Connection Design

263+37/180

Page 263 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 81 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 802 mm²

Pvb = 127.5 Kn > Fv = 81 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 218.63 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 46228 mm³ (Refer calculation below)

Mc = 12.3 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 12.2 Kn-m < Mc = 12.3 Kn OK SAFE!

6.6 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 264: Shear Connection Design

264+37/180

Page 264 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

205.0At = 1353 mm²

yAw = 1353 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 103 mm

y1 = 0.00 mm

0.0 y2 = 102.50 mm

Page 265: Shear Connection Design

265+37/180

Page 265 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 103 mm

c = 103 mm

moment of inertia, Ix-x

I x-x = 4738318.75

section modulus, Z

Z = I x-x / c

Z = 46228 mm³

mm4

Page 266: Shear Connection Design

266+37/180

Page 266 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 267: Shear Connection Design

267+37/180

Page 267 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 270 BEAM B: IPE 270

B = 135.0 mm B = 135.0 mm

B D = 270.0 mm D = 270.0 mm

T T = 10.2 mm T = 10.2 mm

D h1 t = 6.6 mm t = 6.6 mm

t h1 = 219.6 mm h1 = 219.6 mm

k = 25.2 mm k = 25.2 mm

Ag = 4590 mm² Ag = 4590 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 170 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 170 Kn

Sg = 120 mm a = 77.5 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 25 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 268: Shear Connection Design

268+37/180

Page 268 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 269: Shear Connection Design

269+37/180

Page 269 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb2 x s

Nb = nos.of boltsY

Nb = 6 Fmh

Fvb = 28 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 120 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 28 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.15 + 0.22 <= 1.4 Ftot = 30.6 Kn

0.38 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 6.6 mm

Page 270: Shear Connection Design

270+37/180

Page 270 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 72.6 Kn

0.5 x e2 x t x pbs = 72.6 Kn

Pbs = 72.6 Kn > Fs = 57 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 6-M20 BOLTS Grade 8.8

Page 271: Shear Connection Design

271+37/180

Page 271 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 219.6 mm

Lp = 190 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 2052 mm² 4.2.3 ( h )

Pvp = 326.268 Kn

Shear Force, Fv = 170 Kn < Pvp= 326.3 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

2 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 3.96 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.7 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

Moment at root of filletweld with web (Mb) 0.3 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 13.889 kN add this to tension per bolt

Page 272: Shear Connection Design

272+37/180

Page 272 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 273: Shear Connection Design

273+37/180

Page 273 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 380 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 351.12 Kn > 170 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 2

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 360 mm

TENSION CAPACITY OF WEB WELD = 665.28 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 1129 mm²

Pvb = 179.4 Kn > Fv = 170 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 180 mm

Le x t x py = 314.82 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 53240 mm³ (Refer calculation below)

Mc = 14.1 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 13.2 Kn-m < Mc = 14.1 Kn OK SAFE!

6.6 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 274: Shear Connection Design

274+37/180

Page 274 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

220.0At = 1452 mm²

yAw = 1452 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 110 mm

y1 = 0.00 mm

0.0 y2 = 110.00 mm

Page 275: Shear Connection Design

275+37/180

Page 275 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 110 mm

c = 110 mm

moment of inertia, Ix-x

I x-x = 5856400

section modulus, Z

Z = I x-x / c

Z = 53240 mm³

mm4

Page 276: Shear Connection Design

276+37/180

Page 276 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 277: Shear Connection Design

277+37/180

Page 277 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 300 BEAM B: HE 220 A

B = 150.0 mm B = 220.0 mm

B D = 300.0 mm D = 210.0 mm

T T = 10.7 mm T = 11.0 mm

D h1 t = 7.1 mm t = 7.0 mm

t h1 = 248.6 mm h1 = 152.0 mm

k = 25.7 mm k = 29.0 mm

Ag = 5380 mm² Ag = 6430 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 62 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 62 Kn

Sg = 120 mm a = 120 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 120 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 278: Shear Connection Design

278+37/180

Page 278 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 279: Shear Connection Design

279+37/180

Page 279 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 16 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 16 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.42 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.0 mm

Page 280: Shear Connection Design

280+37/180

Page 280 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 77.0 Kn

0.5 x e2 x t x pbs = 77.0 Kn

Pbs = 77.0 Kn > Fs = 31 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 281: Shear Connection Design

281+37/180

Page 281 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 62 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.26 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.45 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 282: Shear Connection Design

282+37/180

Page 282 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 283: Shear Connection Design

283+37/180

Page 283 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 62 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 863 mm²

Pvb = 137.2 Kn > Fv = 62 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 235.19 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 28430 mm³ (Refer calculation below)

Mc = 7.5 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 7.4 Kn-m < Mc = 7.5 Kn OK SAFE!

7.1 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 284: Shear Connection Design

284+37/180

Page 284 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

155.0At = 1101 mm²

yAw = 1101 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 78 mm

y1 = 0.00 mm

0.0 y2 = 77.50 mm

Page 285: Shear Connection Design

285+37/180

Page 285 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 78 mm

c = 78 mm

moment of inertia, Ix-x

I x-x = 2203292.70833333

section modulus, Z

Z = I x-x / c

Z = 28430 mm³

mm4

Page 286: Shear Connection Design

286+37/180

Page 286 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 287: Shear Connection Design

287+37/180

Page 287 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 300 BEAM B: HE 240 A

B = 150.0 mm B = 240.0 mm

B D = 300.0 mm D = 230.0 mm

T T = 10.7 mm T = 12.0 mm

D h1 t = 7.1 mm t = 7.5 mm

t h1 = 248.6 mm h1 = 164.0 mm

k = 25.7 mm k = 33.0 mm

Ag = 5380 mm² Ag = 7680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 69 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 69 Kn

Sg = 120 mm a = 130 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 105 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 288: Shear Connection Design

288+37/180

Page 288 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 289: Shear Connection Design

289+37/180

Page 289 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 17 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 17 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.09 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.43 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 290: Shear Connection Design

290+37/180

Page 290 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 35 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 291: Shear Connection Design

291+37/180

Page 291 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 69 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.26 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.45 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 292: Shear Connection Design

292+37/180

Page 292 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 293: Shear Connection Design

293+37/180

Page 293 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 69 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 863 mm²

Pvb = 137.2 Kn > Fv = 69 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 235.19 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 34198 mm³ (Refer calculation below)

Mc = 9.1 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 9.0 Kn-m < Mc = 9.1 Kn OK SAFE!

7.1 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 294: Shear Connection Design

294+37/180

Page 294 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

170.0At = 1207 mm²

yAw = 1207 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 85 mm

y1 = 0.00 mm

0.0 y2 = 85.00 mm

Page 295: Shear Connection Design

295+37/180

Page 295 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 85 mm

c = 85 mm

moment of inertia, Ix-x

I x-x = 2906858.33333333

section modulus, Z

Z = I x-x / c

Z = 34198 mm³

mm4

Page 296: Shear Connection Design

296+37/180

Page 296 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 297: Shear Connection Design

297+37/180

Page 297 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 300 BEAM B: HE 260 A

B = 150.0 mm B = 260.0 mm

B D = 300.0 mm D = 250.0 mm

T T = 10.7 mm T = 12.5 mm

D h1 t = 7.1 mm t = 7.5 mm

t h1 = 248.6 mm h1 = 177.0 mm

k = 25.7 mm k = 36.5 mm

Ag = 5380 mm² Ag = 8680 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 76 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 76 Kn

Sg = 120 mm a = 140 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 90 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 298: Shear Connection Design

298+37/180

Page 298 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 299: Shear Connection Design

299+37/180

Page 299 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 19 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 93 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 17425 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 19 Kn

b. TENSION

Ft = T / Nb

Ft = 25.0 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.10 + 0.33 <= 1.4 Ftot = 45.8 Kn

0.44 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.5 mm

Page 300: Shear Connection Design

300+37/180

Page 300 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 82.5 Kn

0.5 x e2 x t x pbs = 82.5 Kn

Pbs = 82.5 Kn > Fs = 38 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 4-M20 BOLTS Grade 8.8

Page 301: Shear Connection Design

301+37/180

Page 301 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

Lp = 135 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1458 mm² 4.2.3 ( h )

Pvp = 231.822 Kn

Shear Force, Fv = 76 Kn < Pvp= 231.8 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

1 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.26 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.45 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 25.0 kN

Moment at root of filletweld with web (Mb) 0.5 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 20.833 kN add this to tension per bolt

Page 302: Shear Connection Design

302+37/180

Page 302 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 303: Shear Connection Design

303+37/180

Page 303 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 270 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 249.48 Kn > 76 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 1

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 250 mm

TENSION CAPACITY OF WEB WELD = 462 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 863 mm²

Pvb = 137.2 Kn > Fv = 76 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 125 mm

Le x t x py = 235.19 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 40500 mm³ (Refer calculation below)

Mc = 10.7 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 10.6 Kn-m < Mc = 10.7 Kn OK SAFE!

7.1 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 304: Shear Connection Design

304+37/180

Page 304 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

185.0At = 1314 mm²

yAw = 1314 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 93 mm

y1 = 0.00 mm

0.0 y2 = 92.50 mm

Page 305: Shear Connection Design

305+37/180

Page 305 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 93 mm

c = 93 mm

moment of inertia, Ix-x

I x-x = 3746211.45833333

section modulus, Z

Z = I x-x / c

Z = 40500 mm³

mm4

Page 306: Shear Connection Design

306+37/180

Page 306 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 307: Shear Connection Design

307+37/180

Page 307 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 300 BEAM B: HE 280 A

B = 150.0 mm B = 280.0 mm

B D = 300.0 mm D = 270.0 mm

T T = 10.7 mm T = 13.0 mm

D h1 t = 7.1 mm t = 8.0 mm

t h1 = 248.6 mm h1 = 196.0 mm

k = 25.7 mm k = 37.0 mm

Ag = 5380 mm² Ag = 9730 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 87 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 87 Kn

Sg = 120 mm a = 150 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 40 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 65 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 70 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 308: Shear Connection Design

308+37/180

Page 308 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 309: Shear Connection Design

309+37/180

Page 309 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb2 x s

Nb = nos.of boltsY

Nb = 6 Fmh

Fvb = 15 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 120 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 15 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.08 + 0.22 <= 1.4 Ftot = 30.6 Kn

0.30 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 8.0 mm

Page 310: Shear Connection Design

310+37/180

Page 310 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 88.0 Kn

0.5 x e2 x t x pbs = 88.0 Kn

Pbs = 88.0 Kn > Fs = 29 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 6-M20 BOLTS Grade 8.8

Page 311: Shear Connection Design

311+37/180

Page 311 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

Lp = 190 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 2052 mm² 4.2.3 ( h )

Pvp = 326.268 Kn

Shear Force, Fv = 87 Kn < Pvp= 326.3 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

40

2 x sTp

Q Q

m C

40 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.26 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.45 mm > e2= 40 mm m = 35 mm

use, c = 40 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

Moment at root of filletweld with web (Mb) 0.3 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 13.889 kN add this to tension per bolt

Page 312: Shear Connection Design

312+37/180

Page 312 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 313: Shear Connection Design

313+37/180

Page 313 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 380 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 351.12 Kn > 87 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 2

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 360 mm

TENSION CAPACITY OF WEB WELD = 665.28 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 1214 mm²

Pvb = 193.0 Kn > Fv = 87 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 180 mm

Le x t x py = 338.67 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 49730 mm³ (Refer calculation below)

Mc = 13.2 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 13.1 Kn-m < Mc = 13.2 Kn OK SAFE!

7.1 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 314: Shear Connection Design

314+37/180

Page 314 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

205.0At = 1456 mm²

yAw = 1456 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 103 mm

y1 = 0.00 mm

0.0 y2 = 102.50 mm

Page 315: Shear Connection Design

315+37/180

Page 315 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 103 mm

c = 103 mm

moment of inertia, Ix-x

I x-x = 5097282.29166667

section modulus, Z

Z = I x-x / c

Z = 49730 mm³

mm4

Page 316: Shear Connection Design

316+37/180

Page 316 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 317: Shear Connection Design

317+37/180

Page 317 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 300 BEAM B: IPE 270

B = 150.0 mm B = 135.0 mm

B D = 300.0 mm D = 270.0 mm

T T = 10.7 mm T = 10.2 mm

D h1 t = 7.1 mm t = 6.6 mm

t h1 = 248.6 mm h1 = 219.6 mm

k = 25.7 mm k = 25.2 mm

Ag = 5380 mm² Ag = 4590 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 170 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 170 Kn

Sg = 120 mm a = 77.5 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 60 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 55 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 318: Shear Connection Design

318+37/180

Page 318 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 319: Shear Connection Design

319+37/180

Page 319 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 6 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb2 x s

Nb = nos.of boltsY

Nb = 6 Fmh

Fvb = 28 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 115 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 55 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 51850 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 28 Kn

b. TENSION

Ft = T / Nb

Ft = 16.7 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.15 + 0.21 <= 1.4 Ftot = 28.8 Kn

0.36 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 6.6 mm

Page 320: Shear Connection Design

320+37/180

Page 320 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 72.6 Kn

0.5 x e2 x t x pbs = 63.5 Kn

Pbs = 63.5 Kn > Fs = 57 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 6-M20 BOLTS Grade 8.8

Page 321: Shear Connection Design

321+37/180

Page 321 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

Lp = 180 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1944 mm² 4.2.3 ( h )

Pvp = 309.096 Kn

Shear Force, Fv = 170 Kn < Pvp= 309.1 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

2 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.26 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.45 mm > e2= 35 mm m = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 16.7 kN

Moment at root of filletweld with web (Mb) 0.3 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 12.153 kN add this to tension per bolt

Page 322: Shear Connection Design

322+37/180

Page 322 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 323: Shear Connection Design

323+37/180

Page 323 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 360 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 332.64 Kn > 170 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 2

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 360 mm

TENSION CAPACITY OF WEB WELD = 665.28 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 1150 mm²

Pvb = 182.9 Kn > Fv = 170 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 180 mm

Le x t x py = 338.67 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 57273 mm³ (Refer calculation below)

Mc = 15.2 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 13.2 Kn-m < Mc = 15.2 Kn OK SAFE!

7.1 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 324: Shear Connection Design

324+37/180

Page 324 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

220.0At = 1562 mm²

yAw = 1562 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 110 mm

y1 = 0.00 mm

0.0 y2 = 110.00 mm

Page 325: Shear Connection Design

325+37/180

Page 325 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 110 mm

c = 110 mm

moment of inertia, Ix-x

I x-x = 6300066.66666667

section modulus, Z

Z = I x-x / c

Z = 57273 mm³

mm4

Page 326: Shear Connection Design

326+37/180

Page 326 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 327: Shear Connection Design

327+37/180

Page 327 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

A. DESIGN LOAD

MEMBER PROFILE BEAM A : IPE 300 BEAM B: IPE 300

B = 150.0 mm B = 150.0 mm

B D = 300.0 mm D = 300.0 mm

T T = 10.7 mm T = 10.7 mm

D h1 t = 7.1 mm t = 7.1 mm

t h1 = 248.6 mm h1 = 248.6 mm

k = 25.7 mm k = 25.7 mm

Ag = 5380 mm² Ag = 5380 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of supporting beam 'B' Steel grade : S275

Fv = 60% [ 0.6 x py x D x t ] py = 265 N/mm²

Fv = 203 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 100 Kn

B. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only) END PLATE

a BEAM A W

Fh = 0 Kn

C1 P e2s

Lp( D-b ) T = 100 Kn s

C2 e2

e1 e1

BEAM B Sg

Fv = 203 Kn

Sg = 120 mm a = 85 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 60 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

C1 = 25 mm

C2 = 25 mm STEEL GRADE: S275

PLATE MATERIAL GRADE: S275

py = 265 n/mm²

Page 328: Shear Connection Design

328+37/180

Page 328 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 329: Shear Connection Design

329+37/180

Page 329 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 8 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb3 x s

Nb = nos.of boltsY

Nb = 8 Fmh

Fvb = 25 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 143 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 83 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 60 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 137.5 mm

Ib = 59050 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 25 Kn

b. TENSION

Ft = T / Nb

Ft = 12.5 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

(Check for double shear since two members (Beam 1) are meeting on Beam 2 at same location)

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.14 + 0.16 <= 1.4 Ftot = 21.6 Kn

0.30 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of BEAM 2 )

t = 7.1 mm

Page 330: Shear Connection Design

330+37/180

Page 330 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Bd x t x pbs = 78.1 Kn

0.5 x e2 x t x pbs = 68.3 Kn

Pbs = 68.3 Kn > Fs = 51 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on BEAM 2 web

USE 8-M20 BOLTS Grade 8.8

Page 331: Shear Connection Design

331+37/180

Page 331 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 248.6 mm

Lp = 235 mm

W = 190 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 2538 mm² 4.2.3 ( h )

Pvp = 403.542 Kn

Shear Force, Fv = 203 Kn < Pvp= 403.5 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

3 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 4.26 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 50.45 mm > e2= 35 mm m = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 12.5 kN

Moment at root of filletweld with web (Mb) 0.2 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 9.115 kN add this to tension per bolt

Page 332: Shear Connection Design

332+37/180

Page 332 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

= 0.525 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 333: Shear Connection Design

333+37/180

Page 333 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm Lw

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) WELD LINE

Lw = 470 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 434.28 Kn > 203 Kn OK SAFE!

2. TENSION CAPACITY OF WEB WELD = 2 Le a pw

Lw = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2 a =0.7Sw = 4.2 mm

ee = 35 mm ( n-1 ) = 3

Pe = s but <= 2c+Hd

Pe = 55 mm

Lw = 470 mm

TENSION CAPACITY OF WEB WELD = 868.56 Kn > 100.0 Kn OK SAFE!

USE 6 mm FILLET WELD

F. CAPACITY OF BEAM WEB AT THE END PLATE

1. SHEAR CAPACITY OF THE SUPPORTED BEAM ( BEAM 1 ) AT THE END

Pvb = 0.6 x py x Av

Av = 0.9 x A = 0.9 x t x Lp = 1502 mm²

Pvb = 238.8 Kn > Fv = 203 Kn OK SAFE!

2. TENSION CAPACITY OF BEAM WEB

TENSION CAPACITY OF BEAM WEB = Le x t x py

Effective length, Le = 2ee + (n-1)Pe

ee = e2 but <= c + Hd/2

ee = 35 mm

Pe = s but <= 2c+Hd

Pe = 55 mm

Le = 235 mm

Le x t x py = 442.15 Kn > 100.0 Kn OK SAFE!

3. BENDING STRENGTH OF THE REDUCED BEAM SECTION AT THE NOTCH

Assume the moment capacity of the section,

Mc = py x Z

Z =

Z = 73958 mm³ (Refer calculation below)

Mc = 19.6 Kn-m

Design Moment at the notch,M

M = Fv x a

M = 17.3 Kn-m < Mc = 19.6 Kn OK SAFE!

7.1 find dist. y from bottom

cy = Af y1 + Aw y2 / ( At )

section modulus,mm3

Page 334: Shear Connection Design

334+37/180

Page 334 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

cX X

250.0At = 1775 mm²

yAw = 1775 mm² x1 = 0 mm

0.0 Af = 0 mm² x2 = 125 mm

y1 = 0.00 mm

0.0 y2 = 125.00 mm

Page 335: Shear Connection Design

335+37/180

Page 335 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

y = 125 mm

c = 125 mm

moment of inertia, Ix-x

I x-x = 9244791.66666667

section modulus, Z

Z = I x-x / c

Z = 73958 mm³

mm4

Page 336: Shear Connection Design

336+37/180

Page 336 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection (with notching of supported member)

Page 337: Shear Connection Design

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANYKASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176SUBJECT :

APPENDIX - 6 : SHEAR CONNECTION

BEAM TO BEAM WEB (TYPE - 4)

Page 338: Shear Connection Design

338+48/180

Page 338 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

A. DESIGN LOAD

SUPPORTED SUPPORTING

MEMBER PROFILE BEAM A : UC 152x152x23 BEAM : VARIES

B = 152.2 mm

B D = 152.4 mm

T T = 6.8 mm

D h1 t = 5.8 mm t = 6.0 mm (min.) Minimum value of

t h1 = 123.6 mm web thickness for

k = 14.4 mm supporting members

Ag = 2920 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S355

Fv = 60% [ 0.6 x py x D x t ] py = 355 N/mm²

Fv = 113 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOT APPLICABLE NOTE:

Fh = NOT APPLICABLE Force Fh is acting on the

Fh = 0 Kn top flange of beam

PLUS

3.0 Axial Load, T =

T = 120 Kn

B. BEAM TO BEAM WEB CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM A W

Fh = 0 Kn

P e2s

LpT = 120 Kn s

e1 e1

SUPPORTING Sg

Fv = ### BEAM WEB

Sg = 90 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 35 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 45 mm IN BEARING with conn. part = pbs = 550 n/mm² TABLE 32

Page 339: Shear Connection Design

339+48/180

Page 339 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

STEEL GRADE:S355

PLATE MATERIAL GRADE: S355

py = 355 n/mm²

Page 340: Shear Connection Design

340+48/180

Page 340 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 4 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR Fh

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv E

Fvb = Fv / Nb1 x s

Nb = nos.of boltsY

Nb = 4 Fmh

Fvb = 28 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 73 mm

Mw = Fh x E = 0 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 28 mm y1 = 27.5 mm

Ib = second moment of area of bolt group X = 45 mm y2 = 0 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 0 mm

Ib = 11125 y4 = 0 mm

Fmh = 0 Kn y5 = 0 mm

Fmv = 0 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh )² + ( Fvb+Fmv )² ]

Fs = 28 Kn

b. TENSION

Ft = T / Nb

Ft = 30 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

0.15 + 0.38 <= 1.4 Ftot = 52 Kn

0.53 <= 1.4 OK SAFE!

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, web of COLUMN )

t = 6.0 mm

Bd x t x pbs = 66.0 Kn

0.5 x e2 x t x pbs = 115.5 Kn

Page 341: Shear Connection Design

341+48/180

Page 341 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

Pbs = 66.0 Kn > Fs = 56 Kn (2*Fs) OK SAFE!

SINCE Pbs > Fs, no need to weld plate on beam web

USE 4-M20 BOLTS Grade 8.8

Page 342: Shear Connection Design

342+48/180

Page 342 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

D. CHECK FOR END PLATE

Depth between fillets of the supported beam,

d = h1 = 123.6 mm

Lp = 125 mm

W = 160 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 1350 mm² 4.2.3 ( h )

Pvp = 287.55 Kn

Shear Force, Fv / 2 = 56.482 Kn < Pvp= 287.6 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

35

1 x sTp

Q Q

m C

35 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 5.8 mm

use, Sw = 6 mm m = ( W - Sg ) / 2

c = 36.1 mm > e2= 35 mm m = 35 mm

use, c = 35 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 30.0 kN

Moment at root of filletweld with web (Mb) 0.525 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 21.875 kN add this to tension per bolt

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4

Page 343: Shear Connection Design

343+48/180

Page 343 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

= 0.703 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

Page 344: Shear Connection Design

344+48/180

Page 344 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

E. WELD STRENGTH

Try 6 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 4.2 mm

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp )

Lw = 250 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 231 Kn > 113 Kn OK SAFE!

2. TENSION CAPACITY OF WELD = Le a pw a =0.7Sw = 4.2 mm

Le = 2 L2

L2 = Lp = 125.0 mm

Le = 250 mm

L2

TENSION CAPACITY OF WEB WELD = 231 Kn > 120.0 Kn

OK SAFE!

WELD LINE

USE 6 mm FILLET WELD

Page 345: Shear Connection Design

345+48/180

Page 345 of 351

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Beam To Beam Web Shear connection

Page 346: Shear Connection Design

346+3/180

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Shear connection

DESIGN NOTES & ASSUMPTIONS

1. DESIGN LOADS (ULTIMATE) ARE BASED ON CRITERIA INDICATED ON EACH CALCULATION.

2. ALL DESIGN CALCULATIONS ARE MADE ACCORDING TO BS 5950-1 : 2000

3. ALL STEEL MATERIALS ARE S275JR or EQUIVALENT.

4. ALL BOLTS ARE GRADE 8.8

5. WELDING ELECTRODE SHALL CONFORM TO CLASS 42 OR EQUIVALENT.

6. LOCATION OF FORCES ARE AS FOLLOWS :

y-y

Fv C = Axial Load (compression),Kn

T = Axial Load (tension), Kn

Fv = Vertical Shear, Kn

Fh T Fh = Horizontal Shear, Kn

Mx = Moment in major axis,

C Kn-M

x-x

Mx

Page 347: Shear Connection Design

347+3/180

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Page 348: Shear Connection Design

348+104/180

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

Calculation for Shear connection

A. DESIGN LOAD

FOR TRANSVERSAL BEAM :

MEMBER PROFILE BEAM : UB457X191X74 COLUMN: 650X12X300X20

B = 307.1 mm B = 300.0 mm

B D = 620.2 mm D = 650.0 mm

T T = 23.6 mm T = 20.0 mm

D h1 t = 14.1 mm t = 12.0 mm

t h1 = 540.0 mm h1 = 594.0 mm

k = mm k = mm

Ag = 22800 mm² Ag = 19300 mm²

1.0 Vertical Shear Load, Fv = 60% shear capacity of beam Steel grade : S275JR

Fv = 60% [ 0.6 x py x D x t ] py = 355 N/mm²

Fv = 1118 Kn

PLUS

2.0 Horizontal Shear Load, Fh = NOTE:

Force Fh is acting on the

Fh = 60 Kn (>75kN/2=37.5kN) top flange of beam

PLUS

3.0 Axial Load, T =

T = 75 Kn

B. BEAM TO COLUMN FL. CONNECTION - BEARING TYPE

(nos of bolts shown indicative only)

END PLATE

BEAM W

Fh = 60 Kn

P e2s

LpT = 75 Kn s

e1 e1

COLUMN FLANGE Sg

Fv = ###

Sg = 90 mm BOLT GRADE: 8.8

e1 = 35 mm STRENGTH OF BOLTS IN CLEARANCE HOLES

e2 = 50 mm IN SHEAR = ps = 375 n/mm² TABLE 30

s = 55 mm IN TENSION = pt = 560 n/mm² TABLE 34

P = 55 mm IN BEARING with conn. part =pbs = 550 n/mm² TABLE 32

Page 349: Shear Connection Design

349+104/180

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

STEEL GRADE:S355

PLATE MATERIAL GRADE: S355

py = 355 n/mm²

End plate thicknes, Tp = 12 mm (assumed) Bolt Diameter, Bd = 20 mm

No. of bolts, Nb = 12 (assumed) Hole Diameter, Hd = 22 mm

Assuming threads occur in the shear plane, then

the area for resisting shear, As = At

As =At = 245 mm²

BOLT CAPACITY

IN SHEAR IN TENSION

Ps = ps x At Pt = pt x At

Ps = 92 Kn Pt = 137 Kn

C. CHECK FOR BOLT

Fv

a. SHEAR

FORCES ON THE OUTERMOST BOLT

1. DUE TO VERTICAL SHEAR, Fv Fh

Fvb = Fv / Nb

Nb = nos.of bolts E

Nb = 12

Fvb = 93 Kn5 x s

1. DUE TO HORIZ. SHEAR, FvY

Fhb = Fh / Nb Fmh+Fhb

5 Kn

Fs

2. DUE TO MOMENT Fvb+Fmv E = 193 mm

Mw = Fh x E = 11550 Kn-mm X

Fmh = Mw x Y / Ib

Fmv = Mw x X / Ib Y = 138 mm y1 = 137.5 mm

Ib = second moment of area of bolt group X = 45 mm y2 = 82.5 mm

Ib = Nb (X)² + 4 [ y1² + y2² + y3² + y4² + y5² + y6² ] y3 = 27.5 mm

Ib = 130175 y4 = 0 mm

Fmh = 12 Kn y5 = 0 mm

Fmv = 4 Kn y6 = 0 mm

3. VECTORIAL SUM OF THE FORCES ON OUTER ROW OF BOLTS

Fs = SQRT [ ( Fmh+Fhb )² + ( Fvb+Fmv )² ]

Fs = 99 Kn

b. TENSION

Ft = T / Nb

Ft = 6.3 Kn

c. COMBINED SHEAR & TENSION 6.3.4.4

For the more exact method

Fs / Ps + Ftot / Pt <= 1.4 Ftot = Ft + Q

1.07 + 0.07 <= 1.4 Ftot = 10 Kn

1.15 <= 1.4 OK SAFE!

Page 350: Shear Connection Design

350+104/180

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

d. BEARING

The bearing capacity, Pbs, of the connected ply should be

taken as:

Pbs = Bd x t x pbs =< 0.5 x e2 x t x pbs 6.3.3.3

t = min.thickness ( end plate, FLANGE of COLUMN )

t = 12.0 mm

Bd x t x pbs = 132.0 Kn

0.5 x e2 x t x pbs = 165.0 Kn

Pbs = 132.0 Kn > Fs = 99 Kn OK SAFE!

USE 12-M20 BOLTS Grade 8.8

D. CHECK FOR END PLATE

For adequate robustness, the end plate Lp should have a minimum depth of about 0.6 of the supported beam ( BEAM 1 )

Depth between fillets of the supported beam,

d = h1 = 540.0 mm

0.6D = 372.12 mm

assume, Lp = 375 mm

assume, W = 160 mm

END PLATE STRENGTH

1. SHEAR CAPACITY OF THE END PLATE

Pvp = 0.6 x py x Av 4.2.3

Av = 0.9 x A = 0.9 x Tp x Lp = 4050 mm² 4.2.3 ( h )

Pvp = 862.65 Kn

Shear Force, Fv / 2 = 558.79 Kn < Pvp= 862.7 Kn OK SAFE!

2Ft

FILLET WELD

2. TENSION CAPACITY OF THE END PLATE

t35

Ft+Q Ft+Q

50

5 x sTp

Q Q

m C

50 Sg

From the figure, Mr Mr

Ft = applied tension per bolt

Q = calculated prying force per bolt

Mr = moment at the root face

Mb = moment at bolt center Mb Mb

c = ( Sg - t - 2Sw ) / 2 DOUBLE CURVATURE BENDING

Sw = fillet weld size

Sw = min.( Tp , t ) = 12.0 mm

use, Sw = 8 mm m = ( W - Sg ) / 2

Page 351: Shear Connection Design

351+104/180

AGIP KAZAKHSTAN NORTH CASPIAN OPERATING COMPANY

KASHAGAN FIELD DEVELOPMENT EXPERIMENTAL PROGRAM

PROJECT NO. : JI-176

SUBJECT :

c = 29.95 mm < e2= 50 mm m = 35 mm

use, c = 30 mm

3. DESIGN OF END PLATE THICKNESS

Max bolt tension = 6.3 kN

Moment at root of filletweld with web (Mb) 0.09375 kN-m

ADDITIONAL TENSION PER BOLT DUE TO PRYING ACTION, Q

Q = Mb/n

where, n= distance from centreline of bolt to prying force (n)

= edge distance but less than 2* thickness of plate 3.4.3

= 0.024

Q= 3.906 kN add this to tension per bolt

= 0.703 kN-m (eff. Depth = min. of (e2+s/2) or s/2)

> Mb, Hence end plate thickness. is o.k

E. WELD STRENGTH

Try 8 mm fillet welds

Design strength pw = 220 n/mm² Table 37

Throat size, ts = 0.7 Sw

ts = 5.6 mm

1. SHEAR CAPACITY OF WEB WELD

Effective length of weld, Lw

Lw = 2 ( Lp ) + L1

Lw = 910 mm

SHEAR CAPACITY OF WEB WELD = pw ( Lp x ts ) = 1121 Kn > 1118 Kn OK SAFE!

2. TENSION CAPACITY OF WELD = Le a pw a =0.7Sw = 5.6 mm

Le = 2 L2 L1

L1 = W = 160 mm (L1 not considered)

L2 = Lp = 375.0 mm

Le = 750 mm

L2

TENSION CAPACITY OF WEB WELD = 924 Kn > 75.0 Kn

OK SAFE!

WELD LINE

USE 8 mm FILLET WELD

Moment capacity of end plate, Mep=py.(eff width).(plate thk.)2 / 4