EXPERIMENTAL INVESTIGATION OF LATERAL TORSIONAL BUCKLING ...
Nomogram for Lateral Torsional Buckling of W Shapes
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1 FY 50,000 Ps i CB 1 NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010 MADE BY ING. DAVID FLORES VIDRIALES SHAPES FORM W4X13 TO W6X9 W6X15 NO ES COMPACTA EN PATINES W6X8.5 NO ES COMPACTA EN PATINES W6X9 NO ES COMPACTA EN PATINES 0 1.97 3.28 5.25 6.56 8.53 9.84 11.81 13.12 15.09 16.4 18.37 19.69 21.65 22.97 W4X13 23.6 23.6 23.6 23.6 23.6 23.6 23.3 23.1 22.6 22.3 22 21.7 21.3 21 20.6 20.3 20 19.6 19.2 18.9 18.6 18.2 17.9 17.6 17.3 16.8 16.6 16.2 15.9 15.5 15.2 14.8 14.5 14.1 13.7 13.2 W5X16 36.1 36.1 36.1 36.1 36.1 36.1 36.1 36 35.5 34.9 34.4 33.9 33.5 32.9 32.4 31.9 31.4 30.9 30.3 29.8 29.3 28.8 28.3 27.7 27.2 26.7 26.2 25.7 25.1 24.6 24.1 23.6 23.1 22.5 21.8 21.2 W5X19 43.5 43.5 43.5 43.5 43.5 43.5 43.5 43.4 42.9 42.4 41.9 41.3 40.8 40.3 39.8 39.2 38.7 38.2 37.6 37.1 36.6 36.1 35.5 35 34.4 33.9 33.4 32.9 32.3 31.8 31.2 30.7 30.2 29.6 29.1 28.6 W6X12 31.2 31.2 31.2 31.2 31.2 31.1 30.1 29.1 28.1 27 26.1 25.1 24.1 23.1 22 21 20 18.9 17.6 16.4 15.4 14.5 13.7 13 12.4 11.8 11.3 10.8 10.3 9.9 9.54 9.25 8.89 8.6 8.31 8.09 W6X15 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.3 39.5 38.7 37.9 37 36.1 35.3 34.5 33.6 32.8 32 31.2 30.3 29.5 28.6 27.8 27 26.1 25.2 23.9 22.8 21.9 21 20.2 19.4 18.6 18 17.4 W6X16 43.9 43.9 43.9 43.9 43.9 43.9 43.1 42.1 41.1 40 39 38.1 37 36 35 34 33 31.9 30.9 29.9 28.9 27.9 26.9 25.6 24.4 23.3 22.3 21.5 20.6 19.9 19.2 18.5 17.9 17.3 16.8 16.3 W6X20 56.3 56.3 56.3 56.3 56.3 56.3 56.3 56.3 56.3 55.5 54.6 53.8 53 52.1 51.2 50.4 49.7 48.8 47.9 47.1 46.3 45.4 44.6 43.8 42.9 42.1 41.3 40.4 39.5 38.7 37.9 37.1 36.2 35.4 34.3 33.2 W6X25 70.9 70.9 70.9 70.9 70.9 70.9 70.9 70.9 70.9 70.2 69.4 68.6 67.7 66.9 66.1 65.2 64.3 63.5 62.7 61.8 60.9 60.1 59.3 58.5 57.6 56.8 55.9 55.1 54.3 53.4 52.5 51.7 50.9 50 49.1 48.4 W6X8.5 21.5 21.5 21.5 21.5 21.5 21.3 20.5 19.6 18.6 17.9 17 16 15.3 14.4 13.4 12.1 11.1 10.1 9.32 8.6 8.02 7.52 7.08 6.65 6.29 6 5.71 5.42 5.2 4.99 4.77 4.62 4.41 4.26 4.12 3.97 W6X9 23.3 23.3 23.3 23.3 23.3 23.2 22.3 21.3 20.5 19.5 18.6 17.6 16.7 15.8 14.8 13.4 12.2 11.2 10.3 9.54 8.89 8.31 7.8 7.37 7.01 6.65 6.29 6 5.78 5.49 5.28 5.06 4.91 4.7 4.55 4.41 0 10 20 30 40 50 60 70 80 KLb-FT FT W4X13 W5X16 W5X19 W6X12 W6X15 W6X16 W6X20 W6X25 W6X8.5 W6X9
description
Nomogram for Lateral Torsional Buckling of W Shapes , their for calculating the flexural resisntance of a W steel shape, graphical method
Transcript of Nomogram for Lateral Torsional Buckling of W Shapes
1
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W4X13 TO W6X9
W6X15 NO ES COMPACTA EN PATINES
W6X8.5 NO ES COMPACTA EN PATINES W6X9 NO ES COMPACTA EN PATINES
0 1.97 3.28 5.25 6.56 8.53 9.84 11.81 13.12 15.09 16.4 18.37 19.69 21.65 22.97
W4X13 23.6 23.6 23.6 23.6 23.6 23.6 23.3 23.1 22.6 22.3 22 21.7 21.3 21 20.6 20.3 20 19.6 19.2 18.9 18.6 18.2 17.9 17.6 17.3 16.8 16.6 16.2 15.9 15.5 15.2 14.8 14.5 14.1 13.7 13.2
W5X16 36.1 36.1 36.1 36.1 36.1 36.1 36.1 36 35.5 34.9 34.4 33.9 33.5 32.9 32.4 31.9 31.4 30.9 30.3 29.8 29.3 28.8 28.3 27.7 27.2 26.7 26.2 25.7 25.1 24.6 24.1 23.6 23.1 22.5 21.8 21.2
W5X19 43.5 43.5 43.5 43.5 43.5 43.5 43.5 43.4 42.9 42.4 41.9 41.3 40.8 40.3 39.8 39.2 38.7 38.2 37.6 37.1 36.6 36.1 35.5 35 34.4 33.9 33.4 32.9 32.3 31.8 31.2 30.7 30.2 29.6 29.1 28.6
W6X12 31.2 31.2 31.2 31.2 31.2 31.1 30.1 29.1 28.1 27 26.1 25.1 24.1 23.1 22 21 20 18.9 17.6 16.4 15.4 14.5 13.7 13 12.4 11.8 11.3 10.8 10.3 9.9 9.54 9.25 8.89 8.6 8.31 8.09
W6X15 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.5 40.3 39.5 38.7 37.9 37 36.1 35.3 34.5 33.6 32.8 32 31.2 30.3 29.5 28.6 27.8 27 26.1 25.2 23.9 22.8 21.9 21 20.2 19.4 18.6 18 17.4
W6X16 43.9 43.9 43.9 43.9 43.9 43.9 43.1 42.1 41.1 40 39 38.1 37 36 35 34 33 31.9 30.9 29.9 28.9 27.9 26.9 25.6 24.4 23.3 22.3 21.5 20.6 19.9 19.2 18.5 17.9 17.3 16.8 16.3
W6X20 56.3 56.3 56.3 56.3 56.3 56.3 56.3 56.3 56.3 55.5 54.6 53.8 53 52.1 51.2 50.4 49.7 48.8 47.9 47.1 46.3 45.4 44.6 43.8 42.9 42.1 41.3 40.4 39.5 38.7 37.9 37.1 36.2 35.4 34.3 33.2
W6X25 70.9 70.9 70.9 70.9 70.9 70.9 70.9 70.9 70.9 70.2 69.4 68.6 67.7 66.9 66.1 65.2 64.3 63.5 62.7 61.8 60.9 60.1 59.3 58.5 57.6 56.8 55.9 55.1 54.3 53.4 52.5 51.7 50.9 50 49.1 48.4
W6X8.5 21.5 21.5 21.5 21.5 21.5 21.3 20.5 19.6 18.6 17.9 17 16 15.3 14.4 13.4 12.1 11.1 10.1 9.32 8.6 8.02 7.52 7.08 6.65 6.29 6 5.71 5.42 5.2 4.99 4.77 4.62 4.41 4.26 4.12 3.97
W6X9 23.3 23.3 23.3 23.3 23.3 23.2 22.3 21.3 20.5 19.5 18.6 17.6 16.7 15.8 14.8 13.4 12.2 11.2 10.3 9.54 8.89 8.31 7.8 7.37 7.01 6.65 6.29 6 5.78 5.49 5.28 5.06 4.91 4.7 4.55 4.41
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KLb
-FT
FT
W4X13
W5X16
W5X19
W6X12
W6X15
W6X16
W6X20
W6X25
W6X8.5
W6X9
2
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W6X9 TO W8X35
W6X9 NO ES COMPACTA EN PATINES W8X10 NO ES COMPACTA EN PATINES
W8X31 NO ES COMPACTA EN PATINES
0 1.97 3.28 5.25 6.56 8.53 9.84 11.81 13.12 15.09 16.4 18.37 19.69 21.65 22.97
W6X9 23.3 23.3 23.3 23.3 23.3 23.2 22.3 21.3 20.5 19.5 18.6 17.6 16.7 15.8 14.8 13.4 12.2 11.2 10.3 9.54 8.89 8.31 7.8 7.37 7.01 6.65 6.29 6 5.78 5.49 5.28 5.06 4.91 4.7 4.55 4.41
W8X10 33.2 33.2 33.2 33.2 33.2 32.6 31.2 29.8 28.4 27 25.7 24.2 22.8 21.4 19.7 17.8 16.2 14.8 13.7 12.7 11.9 11.1 10.4 9.83 9.32 8.82 8.46 8.02 7.66 7.37 7.08 6.79 6.58 6.36 6.14 5.93
W8X13 42.7 42.7 42.7 42.7 42.7 42 40.1 38.3 36.6 34.8 32.9 31.2 29.3 27.6 25.6 23.1 21 19.2 17.7 16.4 15.3 14.3 13.5 12.7 12.1 11.4 10.9 10.4 9.97 9.54 9.18 8.82 8.46 8.17 7.88 7.66
W8X15 51 51 51 51 51 50.5 48.9 47.2 45.5 43.8 42.1 40.3 38.7 36.9 35.3 33.5 31.8 29.8 27.7 25.9 24.3 22.8 21.6 20.5 19.5 18.6 17.8 17.1 16.3 15.7 15.1 14.6 14.1 13.6 13.2 12.8
W8X18 63.7 63.7 63.7 63.7 63.7 63.7 63.7 63.2 61.6 60.1 58.5 57 55.6 54 52.5 51 49.4 47.8 46.4 44.9 43.3 41.8 40.3 38.2 36.1 34.3 32.7 31.2 29.9 28.6 27.5 26.5 25.4 24.6 23.7 23
W8X21 76.5 76.5 76.5 76.5 76.5 76.5 76.5 76.1 74.3 72.6 70.7 68.9 67.1 65.3 63.5 61.6 59.8 58 56.2 54.3 52.5 50.7 48.9 46.7 44.2 42 40 38.2 36.5 35 33.5 32.2 31.1 30 29 28
W8X24 86.7 86.7 86.7 86.7 86.7 86.7 86.7 86.7 86.7 86.1 84.4 82.8 81.2 79.6 77.9 76.3 74.7 73.1 71.4 69.8 68.2 66.6 64.9 63.3 61.6 60.1 58.3 56.7 55.1 52.8 50.5 48.5 46.6 44.8 43.2 41.7
W8X28 102 102 102 102 102 102 102 102 102 102 99.9 98.4 96.7 95.1 93.4 91.9 90.2 88.6 86.9 85.4 83.7 82.1 80.5 78.9 77.3 75.7 74 72.4 70.8 69.2 67.5 65.9 64.2 62.2 60.1 58
W8X31 114 114 114 114 114 114 114 114 114 114 114 114 112 111 109 108 107 105 104 102 101 99.3 97.9 96.4 95 93.5 92.1 90.6 89.2 87.7 86.2 84.8 83.4 81.9 80.4 79.1
W8X35 130 130 130 130 130 130 130 130 130 130 130 130 129 127 126 124 123 121 120 119 117 116 114 113 111 110 109 107 106 104 103 101 99.9 98.5 97.1 95.6
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40
60
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100
120
140
KLb
-FT
FT
W6X9
W8X10
W8X13
W8X15
W8X18
W8X21
W8X24
W8X28
W8X31
W8X35
3
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
#N/A
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W8X35 130 130 130 129 123 117 111 106 99.9 94.2 88.5 82.7 75.4 69 63.7 59.2 55.2 51.8 48.8 46.1 43.7 41.6 39.6 37.8 36.2 34.7 33.3 32.1 30.9 29.8 28.8 27.8 27 26.2 25.4 24.6
W8X40 149 149 149 148 142 136 130 124 119 113 107 101 95.3 88.2 81.4 75.7 70.7 66.3 62.5 59.1 56 53.3 50.8 48.6 46.5 44.6 42.8 41.2 39.7 38.3 37 35.8 34.7 33.6 32.6 31.7
W8X48 184 184 184 183 177 171 165 159 153 147 141 135 129 123 117 110 103 96.6 91.1 86.1 81.7 77.8 74.1 70.8 67.9 65 62.5 60.2 58 56 54.1 52.3 50.7 49.1 47.7 46.3
W8X58 224 224 224 223 217 211 205 199 193 188 182 176 170 164 158 152 146 140 133 126 120 114 108 104 99.3 95.3 91.6 88.2 85 82 79.3 76.7 74.3 72.1 69.9 67.9
W8X67 263 263 263 262 256 250 244 238 232 226 220 214 208 202 196 190 184 178 172 166 160 153 146 139 134 128 123 119 114 110 107 103 99.9 96.9 94 91.3
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50
100
150
200
250
300
KLb
-FT
FT
W8X35
W8X40
W8X48
W8X58
W8X67
4
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W8X18 TO W8X67
W8X31 NO ES COMPACTA EN PATINES
0 4.92 8.2 13.12 16.4 21.33 24.61 29.53 32.81 37.73 41.01 45.93 49.21 54.13 57.41
W8X18 63.7 63.7 63.7 62.4 58.5 54.8 51 47.2 43.3 39.2 34.3 30.5 27.5 25 23 21.3 19.7 18.4 17.3 16.3 15.5 14.7 14 13.3 12.7 12.2 11.7 11.3 10.8 10.4 10 9.76 9.39 9.11 8.82 8.6
W8X21 76.5 76.5 76.5 75.2 70.7 66.1 61.6 57 52.5 47.9 42 37.3 33.5 30.5 28 25.9 24.1 22.5 21.1 19.9 18.8 17.9 17 16.2 15.5 14.8 14.2 13.7 13.2 12.7 12.3 11.9 11.5 11.1 10.8 10.5
W8X24 86.7 86.7 86.7 86.7 84.4 80.4 76.3 72.2 68.2 64.1 60.1 55.9 50.5 45.7 41.7 38.4 35.6 33.1 31 29.2 27.5 26.1 24.8 23.6 22.6 21.5 20.7 19.8 19.1 18.4 17.7 17.1 16.6 16 15.5 15.1
W8X28 102 102 102 102 99.9 95.9 91.9 87.8 83.7 79.7 75.7 71.6 67.5 63.3 58 53.6 49.9 46.5 43.7 41.2 39 36.9 35.1 33.5 32 30.7 29.4 28.3 27.2 26.2 25.4 24.5 23.7 23 22.3 21.6
W8X31 114 114 114 114 114 112 108 104 101 97.1 93.5 89.9 86.2 82.7 79.1 75.4 71.5 66.6 62.4 58.6 55.4 52.4 49.8 47.4 45.2 43.3 41.5 39.8 38.3 36.9 35.6 34.4 33.2 32.2 31.2 30.3
W8X35 130 130 130 130 130 128 124 121 117 114 110 106 103 99.2 95.6 92.1 88.5 84.9 80.9 76.2 72.1 68.3 65 61.9 59.2 56.7 54.3 52.2 50.2 48.4 46.8 45.2 43.7 42.3 41.1 39.8
W8X40 149 149 149 149 149 147 143 140 136 132 129 125 121 118 114 111 107 103 99.7 96 91.9 87.2 83 79.2 75.7 72.5 69.6 66.9 64.4 62.1 59.9 57.9 56 54.3 52.6 51.1
W8X48 184 184 184 184 184 182 178 174 171 167 163 159 156 152 148 145 141 137 133 130 126 122 118 115 110 105 101 97.3 93.7 90.4 87.3 84.4 81.7 79.2 76.8 74.6
W8X58 224 224 224 224 224 223 219 215 211 208 204 200 196 193 189 185 182 178 174 170 167 163 159 156 152 148 144 141 137 132 128 123 120 116 112 109
W8X67 263 263 263 263 263 261 257 254 250 246 243 239 235 231 228 224 220 216 213 209 205 201 198 194 190 186 183 179 175 171 168 164 160 156 151 147
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KLb
-FT
FT
W8X18
W8X21
W8X24
W8X28
W8X31
W8X35
W8X40
W8X48
W8X58
W8X67
5
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
#N/A
0 4.92 8.2 13.12 16.4 21.33 24.61 29.53 32.81 37.73 41.01 45.93 49.21 54.13 57.41
W8X67 263 263 263 263 263 261 257 254 250 246 243 239 235 231 228 224 220 216 213 209 205 201 198 194 190 186 183 179 175 171 168 164 160 156 151 147
W10X100 488 488 488 488 488 485 480 474 469 464 458 453 447 442 437 431 426 421 415 410 404 399 393 388 383 377 372 367 361 356 350 345 340 334 329 323
W10X112 551 551 551 551 551 551 550 544 539 533 528 522 516 511 505 500 494 489 483 478 472 467 461 455 450 444 439 433 428 422 417 411 406 400 394 389
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100
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300
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KLb
-FT
FT
W8X67
W10X100
W10X112
6
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W10X12 TO W10X45
W10X12 NO ES COMPACTA EN PATINES
0 4.92 8.2 13.12 16.4 21.33 24.61 29.53 32.81 37.73 41.01 45.93 49.21 54.13 57.41
W10X12 47.3 47.3 47.3 47.3 47.3 47.3 23.7 19 15.8 13.6 11.9 10.6 9.54 8.67 7.95 7.37 6.87 6.43 6 5.64 5.35 5.06 4.84 4.62 4.41 4.26 4.05 3.9 3.76 3.61 3.47 3.4 3.25 3.18 3.11 2.96
W10X15 60.1 60.1 58 51.7 45.2 38.9 31 24.9 20.7 17.7 15.5 13.7 12.4 11.3 10.3 9.54 8.89 8.31 7.8 7.37 6.94 6.65 6.29 6 5.71 5.49 5.28 5.06 4.91 4.7 4.55 4.41 4.26 4.12 3.97 3.9
W10X17 70.1 70.1 68.2 61 53.8 46.5 37.9 30.3 25.2 21.5 18.8 16.7 15 13.7 12.5 11.6 10.8 10 9.47 8.89 8.46 8.02 7.59 7.23 6.94 6.65 6.36 6.14 5.93 5.71 5.49 5.28 5.13 4.99 4.84 4.7
W10X19 81 81 79.6 71.4 63.2 55.1 45.5 36.3 30.1 25.7 22.5 20 17.9 16.3 15 13.8 12.8 12 11.3 10.6 10 9.54 9.03 8.6 8.24 7.88 7.59 7.3 7.01 6.72 6.5 6.29 6.07 5.93 5.71 5.56
W10X22 97.5 97.5 96.8 91.2 85.6 79.9 74.2 68.7 62.9 54.4 46.6 40.7 36.1 32.5 29.4 27 24.9 23.1 21.5 20.2 19 18 17.1 16.2 15.5 14.7 14.2 13.6 13 12.5 12.1 11.6 11.3 10.9 10.6 10.3
W10X26 117 117 117 116 110 104 97.4 91.1 84.7 78.3 71.3 63.2 56.7 51.5 47.1 43.5 40.4 37.7 35.4 33.3 31.5 29.9 28.4 27.1 25.9 24.8 23.8 22.8 22 21.2 20.5 19.7 19.2 18.5 17.9 17.4
W10X30 137 137 137 137 129 122 115 107 99.7 92.2 84.6 74.9 67.2 61 55.9 51.5 47.8 44.7 41.9 39.5 37.3 35.3 33.6 32 30.6 29.3 28.1 27 26 25.1 24.2 23.3 22.6 21.9 21.3 20.6
W10X33 145 145 145 145 140 135 130 125 120 115 110 105 100 95.3 89.1 81.6 75.3 69.9 65.2 61.1 57.6 54.4 51.6 49 46.8 44.7 42.8 41 39.4 37.9 36.6 35.3 34.1 33 31.9 31
W10X39 176 176 176 176 176 171 165 160 154 148 143 137 132 126 120 115 108 101 94.5 88.9 83.9 79.4 75.4 71.8 68.6 65.6 62.9 60.4 58.1 56 54 52.2 50.4 48.9 47.3 46
W10X45 206 206 206 206 206 202 196 190 185 179 173 168 162 156 150 145 139 133 127 120 113 107 102 97.1 92.7 88.8 85.2 81.8 78.8 75.9 73.3 70.8 68.5 66.3 64.3 62.4
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100
150
200
250
KLb
-FT
FT
W10X12
W10X15
W10X17
W10X19
W10X22
W10X26
W10X30
W10X33
W10X39
W10X45
7
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W10X45 TO W12X136
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W10X45 206 206 206 203 194 185 175 166 157 148 139 130 118 108 99.9 92.7 86.6 81.2 76.5 72.3 68.5 65.1 62.1 59.3 56.7 54.4 52.3 50.3 48.4 46.8 45.2 43.7 42.3 41 39.8 38.6
W10X49 227 227 227 224 215 207 199 190 181 173 164 156 147 137 125 116 108 101 94.6 89.2 84.3 80 76.1 72.6 69.4 66.5 63.8 61.4 59 56.9 54.9 53.1 51.4 49.8 48.3 46.9
W10X54 250 250 250 250 245 236 227 218 210 201 192 183 175 166 157 145 135 127 119 112 106 101 96.2 91.8 87.8 84.2 80.8 77.7 74.9 72.2 69.7 67.4 65.3 63.2 61.3 59.6
W10X60 280 280 280 280 275 266 257 249 240 231 222 214 205 196 187 179 168 157 148 140 133 126 120 115 110 105 101 97.1 93.5 90.2 87.1 84.3 81.6 79.1 76.7 74.4
W10X68 320 320 320 320 315 306 297 288 279 270 261 252 243 234 225 216 207 198 186 176 167 158 151 144 138 132 127 122 118 114 110 106 103 99.6 96.6 93.8
W10X77 366 366 366 366 361 352 342 333 323 314 304 295 286 276 267 257 248 238 229 217 206 196 187 178 171 164 157 151 146 141 136 131 127 123 120 116
W10X88 424 424 424 424 419 410 401 392 383 374 366 357 348 339 330 321 312 303 294 285 276 267 257 246 235 226 217 209 201 194 188 182 176 170 165 161
W12X106 615 615 615 615 608 595 581 567 553 539 525 511 497 483 469 455 442 428 414 400 386 368 351 335 320 307 295 283 273 263 254 246 238 230 224 217
W12X120 698 698 698 698 698 686 672 658 644 630 616 603 589 575 561 547 533 519 505 491 477 463 449 435 419 402 386 371 358 345 333 322 312 302 293 285
W12X136 803 803 803 803 803 792 777 763 749 735 721 707 693 679 664 650 636 622 608 594 580 566 551 537 523 509 495 478 461 445 429 415 402 390 378 367
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100
200
300
400
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600
700
800
900
KLb
-FT
FT
W10X45
W10X49
W10X54
W10X60
W10X68
W10X77
W10X88
W12X106
W12X120
W12X136
8
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
#N/A
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W12X136 803 803 803 803 803 792 777 763 749 735 721 707 693 679 664 650 636 622 608 594 580 566 551 537 523 509 495 478 461 445 429 415 402 390 378 367
W12X152 911 911 899 887 875 862 850 838 825 813 801 788 776 764 751 739 727 714 702 690 677 665 653 640 628 616 603 591 579 566 554 538 521 505 490 476
0
100
200
300
400
500
600
700
800
900
1000
KLb
-FT
FT
W12X136
W12X152
9
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W12X16 TO W12X26
0 4.92 8.2 13.12 16.4 21.33 24.61 29.53 32.81 37.73 41.01 45.93 49.21 54.13 57.41
W12X16 75.4 75.4 75.4 75.4 75.4 75.4 75.4 29.8 24.8 21.3 18.6 16.6 15 13.6 12.5 11.6 10.8 10 9.47 8.89 8.46 8.02 7.59 7.23 6.94 6.65 6.36 6.14 5.93 5.71 5.49 5.35 5.13 4.99 4.84 4.7
W12X19 92.6 92.6 92.6 92.6 92.6 92.6 92.6 39.2 32.6 27.9 24.4 21.7 19.5 17.7 16.3 15 14 13.1 12.3 11.6 10.9 10.4 9.9 9.39 9.03 8.6 8.31 7.95 7.66 7.37 7.15 6.87 6.65 6.43 6.29 6.07
W12X22 110 110 110 110 110 110 110 110 39.9 34 29.8 26.5 23.8 21.6 19.8 18.4 17.1 15.9 15 14.1 13.3 12.7 12 11.5 11 10.5 10 9.68 9.32 8.96 8.67 8.38 8.09 7.88 7.59 7.37
W12X26 140 140 140 140 140 140 140 140 121 97.1 79.7 69.2 61.1 54.6 49.4 45.1 41.5 38.5 35.8 33.5 31.4 29.7 28.1 26.7 25.4 24.2 23.2 22.2 21.3 20.5 19.7 19.1 18.4 17.8 17.3 16.7
0
20
40
60
80
100
120
140
160
KLb
-FT
FT
W12X16
W12X19
W12X22
W12X26
10
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W12X170 TO W12X336
0 19.69 32.81 52.49 65.62 85.3 98.43 118.11 131.23 150.92 164.04 183.73 196.85 216.54 229.66
W12X170 1031 1013 982 950 919 888 856 825 794 762 731 700 668 637 601 560 525 494 466 442 420 399 381 365 349 335 322 310 299 289 279 270 262 254 246 239
W12X190 1166 1149 1117 1086 1054 1022 991 959 927 896 864 832 801 769 737 706 668 628 593 562 534 508 485 464 445 427 410 395 381 368 355 344 333 323 314 305
W12X210 1305 1305 1297 1262 1228 1194 1160 1126 1092 1058 1023 989 955 921 887 853 819 785 746 707 671 639 610 584 559 537 516 497 479 463 447 433 419 406 395 383
W12X230 1448 1430 1398 1366 1333 1301 1269 1236 1204 1172 1140 1107 1075 1043 1011 978 946 914 881 849 809 770 735 703 674 647 622 599 577 557 539 521 505 490 475 462
W12X252 1605 1605 1598 1563 1528 1493 1459 1424 1389 1354 1320 1285 1250 1216 1181 1146 1111 1077 1042 1007 973 938 898 859 823 790 759 731 705 681 658 637 617 598 581 564
W12X279 1804 1798 1765 1731 1698 1665 1632 1599 1565 1532 1499 1466 1433 1399 1366 1333 1300 1267 1233 1200 1167 1134 1101 1068 1034 993 955 919 887 856 827 801 776 752 730 709
W12X305 2014 2008 1974 1941 1907 1874 1840 1807 1773 1740 1706 1672 1639 1605 1572 1538 1505 1471 1438 1404 1370 1337 1303 1270 1236 1203 1169 1133 1093 1055 1020 987 956 927 900 874
W12X336 2262 2262 2256 2221 2186 2151 2117 2082 2047 2012 1977 1942 1907 1872 1837 1803 1768 1733 1698 1663 1628 1593 1558 1523 1488 1454 1419 1384 1349 1314 1279 1239 1201 1164 1130 1098
0
500
1000
1500
2000
2500
KLb
-FT
FT
W12X170
W12X190
W12X210
W12X230
W12X252
W12X279
W12X305
W12X336
11
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W12X26 TO W12X30
0 4.92 8.2 13.12 16.4 21.33 24.61 29.53 32.81 37.73 41.01 45.93 49.21 54.13 57.41
W12X26 140 140 140 140 140 140 140 140 121 97.1 79.7 69.2 61.1 54.6 49.4 45.1 41.5 38.5 35.8 33.5 31.4 29.7 28.1 26.7 25.4 24.2 23.2 22.2 21.3 20.5 19.7 19.1 18.4 17.8 17.3 16.7
W12X30 162 162 162 162 162 162 162 162 142 115 93.7 81.3 71.8 64.2 58 52.9 48.6 45 41.9 39.2 36.9 34.8 32.9 31.2 29.7 28.4 27.1 26 24.9 24 23.1 22.3 21.5 20.8 20.2 19.5
0
20
40
60
80
100
120
140
160
180
KLb
-FT
FT
W12X26
W12X30
12
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W12X35 TO W12X87
W12X65 NO ES COMPACTA EN PATINES
0 4.92 8.2 13.12 16.4 21.33 24.61 29.53 32.81 37.73 41.01 45.93 49.21 54.13 57.41
W12X35 192 192 192 192 192 192 192 192 174 141 113 98.3 86.7 77.4 70 63.8 58.6 54.3 50.5 47.2 44.4 41.8 39.6 37.6 35.8 34.1 32.6 31.2 30 28.8 27.8 26.8 25.9 25 24.2 23.5
W12X40 214 214 214 214 209 201 194 186 178 171 163 156 148 140 131 120 111 103 96.2 90.2 84.9 80.2 76 72.3 68.9 65.8 63 60.5 58.1 55.9 53.9 52 50.3 48.6 47.1 45.7
W12X45 241 241 241 241 241 233 224 215 206 196 187 178 169 160 150 137 126 117 109 103 96.5 91.2 86.4 82.2 78.3 74.8 71.6 68.7 66 63.5 61.2 59 57.1 55.2 53.5 51.9
W12X50 270 270 270 270 270 263 254 245 237 228 219 211 202 193 184 176 166 155 145 136 129 122 116 110 105 101 96.5 92.6 89.1 85.9 82.8 80 77.4 74.9 72.6 70.5
W12X53 292 292 292 292 292 286 278 270 261 253 245 237 229 221 213 204 196 188 177 165 155 145 137 130 124 118 113 108 104 99.5 95.8 92.4 89.1 86.1 83.3 80.7
W12X58 324 324 324 324 324 324 319 310 302 294 286 277 269 261 252 244 236 228 220 211 202 191 181 172 164 156 150 144 138 133 128 123 119 115 112 108
W12X65 363 363 363 363 363 363 358 349 341 332 324 315 307 298 290 281 273 264 256 247 239 230 216 204 194 184 176 168 161 154 148 142 137 133 128 124
W12X72 405 405 405 405 405 405 405 401 392 384 375 367 358 350 341 333 324 315 307 298 290 281 273 264 255 243 233 223 214 205 198 190 184 178 172 167
W12X79 446 446 446 446 446 446 446 443 434 426 418 410 402 394 386 377 369 361 353 345 337 329 320 312 304 296 288 279 268 258 248 239 231 224 217 210
W12X87 495 495 495 495 495 495 495 491 482 473 464 455 446 437 428 419 410 400 391 382 373 364 355 346 337 328 319 310 298 286 276 266 257 249 241 233
0
100
200
300
400
500
600
KLb
-FT
FT
W12X35
W12X40
W12X45
W12X50
W12X53
W12X58
W12X65
W12X72
W12X79
W12X87
13
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W12X87 TO W14X211
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W12X87 495 495 495 495 495 482 468 453 439 424 410 395 381 366 352 337 323 307 288 272 257 244 232 221 211 202 194 187 180 173 167 162 156 151 147 142
W12X96 551 551 551 551 551 539 525 510 496 482 468 453 439 425 411 396 382 368 354 337 319 303 288 275 263 252 242 233 224 216 208 202 195 189 183 178
W14X109 720 720 720 720 720 706 690 674 657 641 624 608 591 575 559 542 526 509 493 477 460 438 416 397 379 362 347 333 321 309 298 288 278 269 261 253
W14X120 795 795 795 795 795 795 776 757 738 719 700 681 662 643 624 605 586 567 547 528 509 487 462 440 420 402 385 370 356 343 330 319 309 299 290 281
W14X132 878 878 878 878 878 878 860 841 822 804 785 766 748 729 710 692 673 654 636 617 598 580 561 540 515 493 473 455 437 422 407 393 380 368 357 346
W14X145 975 975 975 975 975 975 959 941 924 906 888 871 853 836 818 801 783 766 748 730 713 695 678 660 643 625 607 583 561 541 522 504 488 473 458 445
W14X159 1076 1076 1076 1076 1076 1076 1065 1047 1028 1010 992 974 956 938 920 902 884 866 848 830 811 793 775 757 739 721 703 685 666 642 620 599 580 562 545 529
W14X176 1200 1200 1200 1200 1200 1200 1189 1170 1151 1132 1114 1095 1076 1057 1039 1020 1001 983 964 945 926 908 889 870 851 833 814 795 776 758 739 714 691 670 649 630
W14X193 1331 1331 1331 1331 1331 1331 1321 1302 1284 1266 1248 1229 1211 1193 1174 1156 1138 1120 1101 1083 1065 1046 1028 1010 992 973 955 937 918 900 882 863 845 827 806 783
W14X211 1463 1463 1463 1463 1463 1463 1453 1435 1416 1398 1380 1362 1344 1326 1308 1290 1271 1253 1235 1217 1199 1181 1163 1144 1126 1108 1090 1072 1054 1036 1017 999 981 963 945 927
0
200
400
600
800
1000
1200
1400
1600
KLb
-FT
FT
W12X87
W12X96
W14X109
W14X120
W14X132
W14X145
W14X159
W14X176
W14X193
W14X211
14
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W14X22 TO W14X38
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W14X22 125 125 125 125 125 125 46.5 37.9 31.9 27.7 24.4 21.8 19.8 18.1 16.7 15.5 14.5 13.5 12.7 12 11.4 10.8 10.3 9.83 9.39 9.03 8.67 8.31 8.02 7.73 7.52 7.23 7.01 6.79 6.58 6.36
W14X26 151 151 151 151 151 151 58.5 47.6 40.1 34.7 30.6 27.3 24.8 22.6 20.9 19.4 18 16.9 15.9 15 14.2 13.5 12.9 12.3 11.8 11.3 10.8 10.4 10 9.68 9.32 9.03 8.74 8.46 8.24 7.95
W14X30 177 177 177 177 177 177 108 86.2 71.3 60.8 52.9 46.9 42.1 38.2 35.1 32.4 30.1 28 26.3 24.8 23.4 22.3 21.1 20.2 19.2 18.4 17.7 17 16.3 15.8 15.3 14.7 14.2 13.8 13.4 13
W14X34 205 205 205 205 205 205 139 103 84.8 72.2 62.9 55.6 49.9 45.3 41.5 38.3 35.6 33.2 31.2 29.3 27.8 26.3 25 23.9 22.8 21.8 20.9 20.1 19.3 18.6 18 17.3 16.8 16.3 15.8 15.3
W14X43 261 261 261 261 261 261 251 186 144 121 104 91.7 81.8 73.8 67.3 61.8 57.2 53.2 49.8 46.8 44.2 41.8 39.7 37.7 36 34.5 33 31.7 30.5 29.3 28.3 27.3 26.5 25.6 24.8 24.1
W14X38 231 231 231 231 231 231 172 117 96.8 82.3 71.6 63.4 56.9 51.6 47.3 43.6 40.5 37.7 35.4 33.3 31.5 29.9 28.4 27.1 25.9 24.8 23.8 22.8 22 21.2 20.5 19.7 19.1 18.5 17.9 17.4
0
50
100
150
200
250
300
KLb
-FT
FT
W14X22
W14X26
W14X30
W14X34
W14X43
W14X38
15
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W14X233 TO W14X500
0 19.69 32.81 52.49 65.62 85.3 98.43 118.11 131.23 150.92 164.04 183.73 196.85 216.54 229.66
W14X233 1635 1618 1577 1537 1497 1456 1416 1376 1336 1295 1255 1215 1175 1134 1094 1054 1014 968 913 865 821 782 746 713 684 656 631 607 586 565 546 529 512 497 482 468
W14X257 1827 1827 1827 1791 1745 1700 1655 1610 1565 1520 1475 1430 1385 1340 1295 1249 1204 1159 1114 1063 1009 961 917 877 840 806 775 747 720 695 672 650 630 610 592 576
W14X311 2262 2253 2211 2168 2126 2083 2041 1998 1956 1913 1871 1828 1786 1743 1701 1658 1616 1573 1531 1488 1446 1403 1361 1314 1259 1209 1162 1119 1079 1041 1007 974 944 915 888 863
W14X342 2520 2513 2470 2428 2385 2343 2300 2258 2215 2173 2130 2088 2045 2003 1960 1918 1875 1833 1790 1747 1705 1662 1620 1577 1535 1492 1444 1391 1341 1295 1251 1211 1173 1137 1104 1072
W14X370 2760 2760 2760 2728 2682 2637 2591 2546 2500 2455 2409 2364 2318 2273 2227 2182 2136 2091 2045 2000 1954 1909 1863 1818 1772 1726 1681 1635 1588 1533 1482 1434 1390 1347 1308 1270
W14X398 3004 2997 2954 2910 2867 2824 2780 2737 2694 2650 2607 2564 2520 2477 2434 2390 2347 2304 2260 2217 2174 2130 2087 2044 2001 1957 1914 1871 1827 1784 1741 1689 1637 1587 1540 1496
W14X426 3259 3259 3259 3228 3182 3136 3090 3044 2998 2952 2906 2860 2814 2767 2721 2675 2629 2583 2537 2491 2445 2399 2353 2307 2261 2215 2169 2123 2077 2031 1985 1939 1893 1844 1790 1739
W14X455 3511 3511 3467 3423 3379 3334 3290 3246 3202 3157 3113 3069 3025 2980 2936 2892 2848 2803 2759 2715 2670 2626 2582 2538 2494 2449 2405 2361 2316 2272 2228 2184 2139 2095 2051 2007
W14X500 3938 3938 3894 3849 3804 3759 3713 3668 3623 3578 3533 3488 3442 3397 3352 3307 3262 3217 3171 3126 3081 3036 2991 2945 2900 2855 2810 2765 2720 2674 2629 2584 2539 2494 2448 2403
0
500
1000
1500
2000
2500
3000
3500
4000
4500
KLb
-FT
FT
W14X233
W14X257
W14X311
W14X342
W14X370
W14X398
W14X426
W14X455
W14X500
16
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W14X48 TO W16X26
W14X90 NO ES COMPACTA EN PATINES
W14X99 NO ES COMPACTA EN PATINES
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W14X48 294 294 294 294 294 294 289 248 206 172 150 134 121 110 101 93.4 86.9 81.2 76.3 72 68.2 64.7 61.6 58.8 56.2 53.8 51.6 49.7 47.8 46.1 44.5 43 41.6 40.3 39.1 37.9
W14X53 327 327 327 327 327 327 324 278 232 192 168 150 135 123 113 105 97.3 90.9 85.4 80.6 76.2 72.3 68.9 65.7 62.8 60.2 57.7 55.5 53.5 51.5 49.8 48.1 46.5 45.1 43.7 42.5
W14X61 383 383 383 383 383 383 383 356 325 295 265 235 210 190 174 160 149 139 130 122 115 109 104 98.9 94.5 90.4 86.7 83.3 80.1 77.2 74.5 72 69.6 67.4 65.3 63.4
W14X68 431 431 431 431 431 431 431 404 369 334 299 265 237 214 196 180 167 156 146 137 130 123 117 111 106 102 97.6 93.7 90.1 86.9 83.8 80.9 78.3 75.8 73.5 71.3
W14X74 473 473 473 473 473 473 473 452 423 394 365 336 307 279 256 237 220 206 193 182 172 164 156 149 142 136 131 125 121 116 112 109 105 102 98.8 95.9
W14X82 521 521 521 521 509 490 471 452 434 415 396 377 358 340 320 296 276 258 243 229 217 206 196 187 179 172 165 159 153 147 142 138 133 129 125 121
W14X90 589 589 589 589 578 561 544 527 510 493 476 459 442 425 408 391 372 344 321 300 281 265 251 238 227 216 207 198 190 183 176 170 164 159 154 149
W14X99 649 649 649 649 649 648 631 613 595 577 559 541 523 505 488 470 452 434 416 392 369 349 331 315 300 287 275 264 253 244 235 227 220 212 206 200
W16X100 743 743 743 743 743 743 706 670 634 598 561 525 489 452 414 383 356 332 312 294 278 264 251 239 229 219 210 202 194 187 181 175 169 164 159 154
W16X26 166 166 166 166 99.7 63.8 44.3 32.6 24.9 19.7 16 13.2 11.1 9.47 8.17 7.08 6.21 5.49 4.91 4.41 3.97 3.61 3.32 3.04 2.75 2.53 2.38 2.17 2.02 1.88 1.81 1.66 1.59 1.45 1.37 1.3
0
100
200
300
400
500
600
700
800
KLb
-FT
FT
W14X48
W14X53
W14X61
W14X68
W14X74
W14X82
W14X90
W14X99
W16X100
W16X26
17
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W16X31 TO W18X106
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W16X31 203 203 191 167 143 116 88.7 71.7 60.1 51.7 45.5 40.6 36.7 33.5 30.8 28.5 26.6 24.9 23.4 22 20.9 19.9 18.9 18.1 17.3 16.6 15.9 15.3 14.7 14.2 13.7 13.2 12.8 12.4 12.1 11.7
W16X36 240 240 231 211 191 171 151 122 101 85.7 74.5 65.9 59.2 53.7 49.1 45.3 42.1 39.2 36.8 34.7 32.7 31.1 29.6 28.1 26.9 25.7 24.7 23.7 22.8 22 21.3 20.5 19.9 19.2 18.6 18.1
W16X40 274 274 274 250 226 201 176 143 118 100 87.2 77.2 69.2 62.7 57.4 52.9 49.1 45.8 43 40.5 38.2 36.2 34.5 32.8 31.4 30 28.8 27.7 26.6 25.7 24.8 23.9 23.1 22.4 21.8 21.1
W16X45 309 309 309 284 255 227 199 162 134 113 98.6 87.2 78.1 70.8 64.8 59.8 55.4 51.7 48.5 45.7 43.1 40.9 38.9 37.1 35.4 33.9 32.5 31.2 30.1 29 28 27 26.1 25.3 24.5 23.8
W16X50 345 345 345 317 286 255 224 184 152 129 112 98.9 88.7 80.4 73.5 67.7 62.9 58.6 54.9 51.7 48.9 46.3 44 41.9 40 38.4 36.8 35.3 34 32.7 31.7 30.6 29.6 28.6 27.8 27
W16X57 394 394 394 369 340 312 283 254 220 190 167 149 135 123 114 105 98.1 91.9 86.4 81.6 77.3 73.4 69.9 66.7 63.8 61.2 58.8 56.5 54.4 52.5 50.7 49 47.5 46 44.6 43.3
W16X67 488 488 488 467 442 417 393 368 343 319 283 245 216 194 175 160 147 136 127 118 111 105 99.3 94.3 89.8 85.6 82 78.5 75.4 72.5 69.8 67.4 65 62.9 60.9 59
W16X77 563 563 563 563 544 517 489 462 435 407 380 353 316 286 261 240 223 207 194 183 173 163 155 148 141 135 130 124 120 115 111 108 104 101 97.6 94.7
W16X89 656 656 656 656 635 603 572 540 509 477 446 414 373 337 308 283 263 245 229 215 203 193 183 174 166 159 153 146 141 136 131 127 122 119 115 111
W18X106 863 863 863 863 838 801 763 725 687 649 611 573 535 483 440 404 374 348 326 306 289 273 259 247 236 225 216 207 199 192 185 179 173 167 162 157
0
100
200
300
400
500
600
700
800
900
1000
KLb
-FT
FT
W16X31
W16X36
W16X40
W16X45
W16X50
W16X57
W16X67
W16X77
W16X89
W18X106
18
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W18X119 TO W18X283
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W18X119 983 983 983 983 967 930 893 856 819 782 745 708 672 635 594 548 509 475 446 420 397 376 358 341 326 312 299 287 277 267 257 249 241 233 226 219
W18X130 1088 1088 1088 1088 1074 1038 1003 967 932 896 861 825 790 754 719 683 640 598 562 530 502 476 453 432 413 396 380 365 352 339 327 317 306 297 288 279
W18X143 1208 1208 1208 1208 1193 1153 1114 1075 1035 996 956 917 877 838 799 759 713 666 626 590 558 530 504 481 460 441 423 407 391 378 364 352 341 330 320 311
W18X158 1335 1335 1335 1335 1322 1283 1245 1206 1167 1128 1090 1051 1012 973 934 896 857 818 770 727 688 654 622 594 568 545 523 503 484 467 451 436 422 409 397 385
W18X175 1493 1493 1493 1493 1481 1441 1402 1363 1324 1285 1246 1206 1167 1128 1089 1050 1011 972 932 890 843 801 763 728 697 668 642 617 594 573 554 535 518 502 487 473
W18X192 1658 1658 1658 1658 1647 1611 1574 1537 1501 1464 1427 1390 1354 1317 1280 1244 1207 1170 1134 1097 1060 1024 984 940 899 862 828 797 768 741 716 692 670 649 630 612
W18X211 1838 1838 1838 1838 1829 1791 1753 1715 1677 1639 1601 1563 1525 1487 1449 1411 1373 1335 1297 1259 1221 1183 1145 1107 1062 1018 978 941 907 875 845 817 791 767 744 723
W18X234 2059 2059 2059 2059 2051 2013 1975 1938 1900 1862 1824 1786 1749 1711 1673 1635 1597 1559 1522 1484 1446 1408 1370 1333 1295 1257 1217 1171 1129 1089 1052 1018 986 956 927 900
W18X258 2292 2292 2292 2292 2286 2249 2212 2176 2139 2103 2066 2029 1993 1956 1920 1883 1846 1810 1773 1737 1700 1663 1627 1590 1553 1517 1480 1444 1407 1371 1329 1286 1245 1207 1171 1138
W18X283 2535 2535 2535 2535 2530 2493 2456 2418 2381 2344 2306 2269 2231 2194 2157 2119 2082 2045 2007 1970 1933 1895 1858 1821 1783 1746 1709 1671 1634 1597 1559 1522 1485 1439 1396 1356
0
500
1000
1500
2000
2500
3000
KLb
-FT
FT
W18X119
W18X130
W18X143
W18X158
W18X175
W18X192
W18X211
W18X234
W18X258
W18X283
19
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W18X35 TO W18X86
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W18X35 249 249 249 249 246 159 118 95.1 79.4 68.2 59.8 53.3 48.1 43.8 40.3 37.3 34.7 32.5 30.5 28.8 27.2 25.9 24.6 23.5 22.5 21.5 20.7 19.9 19.2 18.4 17.8 17.2 16.6 16.1 15.7 15.2
W18X40 294 294 283 251 219 187 146 117 97.9 84 73.6 65.5 59 53.8 49.4 45.7 42.5 39.8 37.4 35.2 33.3 31.7 30.1 28.7 27.5 26.3 25.2 24.3 23.3 22.6 21.8 21 20.4 19.7 19.2 18.6
W18X46 340 340 329 292 255 218 172 138 115 98.4 86.1 76.6 69 62.8 57.7 53.3 49.7 46.4 43.6 41.1 38.9 36.9 35.1 33.5 32.1 30.7 29.5 28.3 27.2 26.3 25.4 24.6 23.8 23.1 22.3 21.7
W18X50 379 379 371 342 312 282 253 217 178 150 130 115 103 93.2 85.1 78.3 72.6 67.7 63.5 59.7 56.4 53.4 50.7 48.4 46.1 44.2 42.4 40.7 39.1 37.7 36.4 35.1 34 32.9 31.9 30.9
W18X55 420 420 420 392 356 320 284 242 198 168 145 128 115 104 94.7 87.2 80.9 75.4 70.6 66.4 62.7 59.4 56.4 53.8 51.4 49.1 47.1 45.2 43.5 41.9 40.5 39.1 37.8 36.6 35.5 34.5
W18X60 461 461 461 432 392 353 314 269 221 187 162 143 128 115 105 97 89.9 83.8 78.5 73.8 69.7 66 62.7 59.7 57 54.6 52.3 50.2 48.4 46.5 45 43.4 42 40.6 39.4 38.2
W18X65 499 499 499 468 426 384 342 295 242 205 177 156 140 126 115 106 98.3 91.6 85.8 80.7 76.1 72.1 68.5 65.3 62.3 59.6 57.2 54.9 52.8 50.9 49.1 47.4 45.8 44.4 43 41.8
W18X71 548 548 548 520 482 445 407 369 331 285 250 223 201 184 169 156 146 136 128 121 115 109 104 98.9 94.5 90.6 86.9 83.6 80.5 77.7 75 72.5 70.2 68 66 64
W18X76 611 611 611 591 562 533 504 475 446 417 388 339 298 266 240 218 200 185 172 161 151 142 134 128 121 116 111 106 102 97.7 94 90.7 87.5 84.6 81.9 79.4
W18X86 698 698 698 698 682 651 619 588 556 525 493 462 427 385 351 323 299 278 260 245 231 218 207 198 188 180 173 166 159 154 148 143 138 134 130 126
0
100
200
300
400
500
600
700
800
KLb
-FT
FT
W18X35
W18X40
W18X46
W18X50
W18X55
W18X60
W18X65
W18X71
W18X76
W18X86
20
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W18X97 TO W21X44
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W18X97 791 791 791 791 775 740 704 669 633 598 562 527 490 442 403 370 343 319 298 280 264 250 238 226 216 206 198 190 183 176 170 164 158 153 149 144
W21X101 949 949 949 949 929 884 838 792 746 700 654 609 541 481 432 392 359 330 306 286 268 252 237 225 214 204 194 186 178 171 165 159 153 148 143 138
W21X111 1046 1046 1046 1046 1040 988 935 882 829 776 724 671 598 531 477 433 396 365 338 315 295 278 262 248 236 224 214 205 196 189 182 175 169 163 158 153
W21X122 1151 1151 1151 1151 1147 1100 1053 1007 960 913 867 820 773 727 664 609 562 522 488 458 431 408 386 368 350 335 321 308 296 285 274 265 256 248 240 233
W21X132 1249 1249 1249 1249 1245 1194 1144 1093 1042 991 941 890 839 788 722 662 611 568 530 497 468 443 420 399 381 364 348 334 321 309 298 288 278 269 261 253
W21X147 1399 1399 1399 1399 1396 1348 1301 1253 1206 1158 1111 1063 1016 968 921 873 813 758 710 668 630 597 567 540 516 494 473 455 437 422 407 393 380 368 357 346
W21X166 1620 1620 1620 1620 1618 1563 1508 1453 1398 1343 1288 1233 1178 1123 1068 1013 945 881 825 776 733 694 659 628 600 574 550 528 508 490 473 457 442 428 414 402
W21X182 1785 1785 1785 1785 1785 1733 1681 1628 1575 1523 1470 1417 1365 1312 1259 1207 1154 1101 1035 975 922 874 831 793 757 725 696 669 644 620 599 579 560 542 526 510
W21X201 1988 1988 1988 1988 1988 1938 1886 1834 1782 1730 1677 1625 1573 1521 1469 1417 1365 1313 1261 1208 1143 1084 1032 984 941 902 865 832 801 772 746 721 698 676 655 636
W21X44 358 358 358 358 358 181 126 92.5 70.8 55.9 45.3 37.4 31.5 26.8 23.1 20.2 17.7 15.7 14 12.6 11.4 10.3 9.39 8.6 7.88 7.23 6.72 6.21 5.78 5.42 5.06 4.7 4.41 4.19 3.9 3.69
0
500
1000
1500
2000
2500
KLb
-FT
FT
W18X97
W21X101
W21X111
W21X122
W21X132
W21X147
W21X166
W21X182
W21X201
W21X44
21
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W21X48 TO W24X103
W21X48 NO ES COMPACTA EN PATINES
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W21X48 401 401 390 353 315 277 234 172 132 104 84.3 69.7 58.5 49.9 43 37.5 33 29.2 26 23.3 21.1 19.2 17.4 16 14.7 13.5 12.5 11.6 10.8 10 9.39 8.74 8.24 7.73 7.3 6.87
W21X50 413 413 413 373 323 273 217 173 144 123 108 95.8 86.2 78.4 72 66.5 61.9 57.8 54.3 51.2 48.4 46 43.7 41.7 39.8 38.2 36.6 35.2 33.9 32.7 31.6 30.5 29.5 28.6 27.8 26.9
W21X55 473 473 464 430 395 361 326 292 241 203 175 154 138 124 113 104 96.6 90 84.2 79.1 74.7 70.8 67.1 64 61.1 58.4 55.9 53.8 51.7 49.8 48.1 46.4 44.9 43.4 42.1 40.8
W21X57 484 484 484 445 387 328 265 211 175 150 131 116 105 95 87.2 80.5 74.8 69.9 65.6 61.9 58.5 55.5 52.8 50.4 48.1 46.1 44.2 42.5 40.9 39.5 38.1 36.8 35.6 34.5 33.5 32.5
W21X62 540 540 533 495 457 419 380 342 286 241 208 182 163 147 134 123 114 106 99.3 93.4 88 83.3 79.1 75.4 71.9 68.8 65.9 63.3 60.9 58.6 56.5 54.6 52.8 51.1 49.6 48.1
W21X68 600 600 600 571 524 476 429 382 320 269 232 204 182 164 150 138 127 119 111 104 98.3 93 88.3 84 80.2 76.8 73.5 70.6 67.9 65.4 63.1 60.9 58.9 57 55.3 53.6
W21X73 645 645 645 616 566 515 465 414 349 294 253 222 198 179 163 150 139 129 121 113 107 101 96 91.4 87.2 83.4 79.9 76.8 73.8 71 68.5 66.2 64 61.9 60.1 58.3
W21X83 735 735 735 703 646 588 531 474 401 338 291 255 228 205 187 172 159 148 138 130 122 116 110 105 99.9 95.5 91.6 87.9 84.6 81.4 78.5 75.8 73.3 71 68.8 66.7
W21X93 829 829 829 801 748 696 644 592 539 480 420 374 337 307 282 261 242 227 213 201 190 180 172 164 156 150 144 138 133 128 124 120 116 112 109 106
W24X103 1050 1050 1050 1013 939 866 792 719 645 541 464 406 361 325 295 271 250 232 217 204 192 181 172 164 156 149 143 137 132 127 122 118 114 110 107 104
0
200
400
600
800
1000
1200
KLb
-FT
FT
W21X48
W21X50
W21X55
W21X57
W21X62
W21X68
W21X73
W21X83
W21X93
W24X103
22
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W24X104 TO W24X250
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W24X104 1084 1084 1084 1068 1022 977 931 885 839 793 747 701 635 563 506 459 419 386 358 334 312 294 277 262 249 237 226 216 207 199 192 185 178 172 166 161
W24X117 1226 1226 1226 1226 1221 1161 1101 1041 981 921 861 801 727 645 579 525 480 442 409 381 357 335 316 300 284 271 258 247 237 227 219 211 203 196 190 184
W24X131 1388 1388 1388 1388 1384 1317 1250 1182 1115 1047 980 913 832 738 662 600 548 505 468 435 408 383 361 342 325 309 295 282 270 259 249 240 232 224 217 210
W24X146 1568 1568 1568 1568 1568 1506 1445 1384 1323 1261 1200 1139 1077 1016 945 865 798 741 691 648 610 577 547 520 495 473 453 435 418 402 387 374 361 350 339 328
W24X162 1755 1755 1755 1755 1755 1691 1623 1554 1486 1418 1349 1281 1213 1144 1069 979 903 838 782 733 690 652 618 587 560 535 512 491 472 454 438 422 408 395 383 371
W24X176 1916 1916 1916 1916 1916 1859 1796 1732 1668 1605 1541 1477 1414 1350 1286 1223 1151 1072 1004 944 891 844 801 763 729 697 668 642 617 595 574 554 536 519 503 488
W24X192 2097 2097 2097 2097 2097 2035 1966 1897 1828 1759 1690 1621 1552 1484 1415 1346 1272 1185 1109 1043 984 932 885 843 805 770 738 708 681 656 633 612 592 573 555 539
W24X207 2273 2273 2273 2273 2273 2208 2133 2059 1984 1909 1835 1760 1686 1611 1537 1462 1384 1289 1207 1135 1071 1014 963 917 875 837 803 771 741 714 689 665 643 623 604 586
W24X229 2532 2532 2532 2532 2532 2471 2399 2327 2255 2183 2112 2040 1968 1896 1825 1753 1681 1609 1534 1445 1365 1294 1231 1173 1121 1073 1029 989 952 917 885 855 828 801 777 754
W24X250 2790 2790 2790 2790 2790 2733 2663 2593 2523 2452 2382 2312 2241 2171 2101 2031 1960 1890 1820 1750 1675 1589 1512 1442 1378 1320 1267 1218 1172 1130 1091 1054 1020 989 959 930
0
500
1000
1500
2000
2500
3000
KLb
-FT
FT
W24X104
W24X117
W24X131
W24X146
W24X162
W24X176
W24X192
W24X207
W24X229
W24X250
23
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W24X279 TO W18X311
0 19.69 32.81 52.49 65.62 85.3 98.43 118.11 131.23 150.92 164.04 183.73 196.85 216.54 229.66
W24X279 3132 3132 3077 2899 2721 2543 2366 2188 2010 1819 1628 1474 1347 1241 1150 1071 1003 943 890 842 800 761 726 694 665 638 614 591 570 550 531 514 498 483 469 455
W24X306 3458 3458 3405 3226 3047 2868 2689 2510 2331 2152 1951 1768 1616 1488 1380 1286 1204 1132 1069 1012 960 914 872 834 799 767 737 710 684 661 638 618 598 580 563 547
W24X335 3826 3826 3778 3606 3434 3263 3091 2919 2747 2575 2403 2221 2032 1872 1736 1619 1516 1426 1346 1274 1210 1152 1099 1051 1007 966 929 895 862 833 805 779 754 731 710 689
W24X370 4238 4238 4194 4027 3859 3691 3523 3356 3188 3020 2852 2685 2517 2319 2151 2006 1879 1767 1668 1580 1500 1428 1363 1303 1249 1199 1152 1109 1070 1033 998 966 936 907 880 855
W14X500 3938 3938 3894 3849 3804 3759 3713 3668 3623 3578 3533 3488 3442 3397 3352 3307 3262 3217 3171 3126 3081 3036 2991 2945 2900 2855 2810 2765 2720 2674 2629 2584 2539 2494 2448 2403
W14X550 4426 4426 4382 4336 4290 4245 4199 4153 4108 4062 4016 3970 3925 3879 3833 3788 3742 3696 3651 3605 3559 3514 3468 3422 3377 3331 3285 3240 3194 3148 3103 3057 3011 2966 2920 2874
W14X605 4951 4951 4951 4923 4876 4829 4782 4735 4688 4641 4594 4547 4500 4453 4406 4359 4312 4265 4218 4171 4124 4077 4030 3983 3936 3889 3842 3795 3748 3701 3654 3607 3560 3513 3466 3419
W14X665 5551 5551 5519 5473 5427 5381 5334 5288 5242 5196 5150 5104 5057 5011 4965 4919 4873 4826 4780 4734 4688 4642 4595 4549 4503 4457 4411 4365 4318 4272 4226 4180 4134 4087 4041 3995
W14X730 6226 6226 6195 6148 6102 6056 6010 5964 5918 5871 5825 5779 5733 5687 5640 5594 5548 5502 5456 5409 5363 5317 5271 5225 5178 5132 5086 5040 4994 4947 4901 4855 4809 4763 4716 4670
W18X311 2828 2828 2788 2696 2605 2513 2421 2329 2237 2146 2054 1962 1870 1779 1687 1586 1486 1398 1320 1251 1188 1131 1080 1033 989 950 913 879 848 819 791 766 742 719 698 678
0
1000
2000
3000
4000
5000
6000
7000
KLb
-FT
FT
W24X279
W24X306
W24X335
W24X370
W14X500
W14X550
W14X605
W14X665
W14X730
W18X311
24
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W24X55 TO W27X146
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W24X55 503 503 503 503 503 291 202 148 114 89.7 72.6 60.1 50.4 43 37.1 32.3 28.4 25.2 22.4 20.2 18.1 16.5 15 13.7 12.7 11.6 10.8 9.97 9.25 8.67 8.09 7.59 7.08 6.65 6.29 5.93
W24X62 574 574 563 506 449 393 331 264 218 186 162 144 129 117 108 99.4 92.3 86.2 80.9 76.2 72.1 68.3 65 61.9 59.2 56.7 54.4 52.3 50.3 48.5 46.8 45.2 43.8 42.4 41.1 39.9
W24X68 664 664 657 613 569 525 480 436 383 321 276 242 216 194 177 162 150 139 130 122 115 109 103 98.4 93.9 89.8 86 82.5 79.4 76.4 73.6 71.1 68.8 66.6 64.5 62.6
W24X76 750 750 750 724 670 616 562 508 448 376 323 283 251 226 206 189 175 162 152 142 134 127 120 114 109 104 99.9 95.9 92.2 88.7 85.6 82.6 79.9 77.3 74.9 72.6
W24X84 840 840 840 814 754 694 633 573 510 428 367 321 286 257 234 214 198 184 172 161 152 144 136 130 124 118 113 109 104 100 96.8 93.5 90.4 87.5 84.8 82.2
W24X94 953 953 953 928 860 792 723 655 587 493 423 370 329 296 269 246 227 211 197 185 174 165 156 149 142 136 130 125 120 115 111 107 104 100 97.2 94.2
W27X102 1144 1144 1144 1120 1048 975 903 830 758 675 576 502 445 399 361 330 304 282 263 247 232 219 208 197 188 180 172 165 158 152 147 142 137 132 128 124
W27X114 1286 1286 1286 1278 1194 1111 1027 944 860 771 658 573 507 455 412 376 347 321 300 281 264 249 236 224 214 204 195 187 180 173 167 161 155 150 146 141
W27X129 1481 1481 1481 1474 1378 1282 1186 1090 995 894 763 664 588 527 477 436 402 372 347 325 306 289 273 260 247 236 226 217 208 200 193 186 180 174 169 163
W27X146 1740 1740 1740 1738 1670 1603 1535 1468 1400 1333 1265 1198 1130 1039 930 841 766 704 651 605 565 530 500 472 448 426 406 388 371 356 342 330 318 307 296 287
0
200
400
600
800
1000
1200
1400
1600
1800
2000
KLb
-FT
FT
W24X55
W24X62
W24X68
W24X76
W24X84
W24X94
W27X102
W27X114
W27X129
W27X146
25
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W27X161 TO W27X368
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W27X161 1932 1932 1932 1932 1932 1872 1786 1699 1612 1526 1439 1353 1266 1164 1042 941 858 788 728 677 632 593 559 528 501 476 454 434 415 398 383 368 355 343 331 320
W27X178 2138 2138 2138 2138 2138 2087 2010 1932 1855 1777 1700 1622 1545 1467 1390 1305 1201 1113 1037 971 913 862 816 775 738 705 675 647 621 597 576 555 537 519 503 487
W27X194 2367 2367 2367 2367 2367 2313 2228 2143 2058 1973 1888 1803 1718 1632 1547 1458 1342 1243 1158 1084 1020 962 911 865 824 787 753 722 693 667 642 620 599 579 561 543
W27X217 2667 2667 2667 2667 2667 2620 2540 2459 2378 2298 2217 2136 2056 1975 1894 1814 1733 1652 1546 1452 1369 1295 1229 1170 1116 1067 1023 982 944 909 877 846 818 792 768 745
W27X235 2895 2895 2895 2895 2895 2848 2761 2673 2586 2498 2410 2323 2235 2148 2060 1972 1885 1797 1687 1584 1494 1413 1341 1276 1217 1164 1115 1070 1029 991 956 923 892 864 837 812
W27X258 3195 3195 3195 3195 3195 3146 3050 2954 2858 2762 2666 2570 2474 2378 2282 2186 2090 1994 1878 1764 1662 1573 1492 1420 1354 1295 1241 1191 1145 1102 1063 1026 992 960 931 903
W27X281 3511 3511 3511 3511 3511 3466 3375 3284 3192 3101 3010 2918 2827 2736 2645 2553 2462 2371 2280 2188 2084 1974 1876 1787 1706 1633 1565 1503 1446 1394 1344 1299 1256 1217 1179 1144
W27X307 3863 3863 3863 3863 3863 3823 3733 3643 3553 3463 3373 3283 3193 3103 3013 2923 2833 2743 2653 2563 2473 2383 2282 2176 2079 1990 1909 1835 1766 1702 1642 1587 1536 1487 1442 1399
W27X336 4238 4238 4238 4238 4238 4202 4114 4026 3938 3850 3762 3675 3587 3499 3411 3323 3235 3147 3059 2971 2884 2796 2708 2620 2525 2418 2320 2230 2147 2070 1998 1931 1869 1810 1755 1704
W27X368 4651 4651 4651 4651 4651 4619 4530 4442 4354 4266 4177 4089 4001 3913 3824 3736 3648 3560 3471 3383 3295 3207 3118 3030 2942 2854 2759 2652 2554 2462 2377 2298 2224 2155 2090 2028
0
500
1000
1500
2000
2500
3000
3500
4000
4500
5000
KLb
-FT
FT
W27X161
W27X178
W27X194
W27X217
W27X235
W27X258
W27X281
W27X307
W27X336
W27X368
26
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W27X84 TO W30X211
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W27X84 915 915 915 915 915 905 808 711 614 517 443 386 342 307 279 255 235 218 204 191 180 170 161 153 146 139 133 128 123 118 114 110 106 103 99.4 96.4
W27X94 1043 1043 1043 1028 959 891 822 753 684 603 515 449 398 357 324 296 273 253 236 221 208 197 186 177 169 161 154 148 142 137 132 127 123 119 115 112
W30X108 1298 1298 1298 1285 1201 1117 1032 948 864 776 663 577 510 457 414 379 349 323 301 282 265 251 237 225 215 205 196 188 181 174 168 162 156 151 146 142
W30X116 1418 1418 1418 1408 1318 1228 1139 1049 959 869 744 647 572 512 464 424 390 362 337 315 297 280 265 252 240 229 219 210 202 194 187 180 174 169 163 158
W30X124 1530 1530 1530 1525 1429 1333 1237 1141 1045 949 818 711 629 563 509 465 428 397 369 346 325 307 291 276 263 251 240 230 221 212 205 198 191 185 179 173
W30X132 1639 1639 1639 1639 1536 1433 1330 1228 1125 1022 883 768 678 607 549 502 462 428 398 373 350 331 313 297 283 270 259 248 238 229 220 213 206 199 192 187
W30X148 1875 1875 1875 1875 1762 1646 1530 1413 1297 1181 1027 892 788 705 638 582 535 496 462 432 406 383 363 345 328 313 300 287 276 265 255 246 238 230 223 216
W30X173 2277 2277 2277 2277 2201 2119 2037 1955 1873 1792 1710 1628 1546 1464 1347 1215 1105 1013 935 868 809 758 713 674 638 606 577 551 527 505 485 467 450 434 419 405
W30X191 2532 2532 2532 2532 2532 2491 2385 2279 2174 2068 1962 1857 1751 1645 1516 1367 1243 1139 1051 975 909 852 801 756 716 680 648 618 592 567 544 524 504 487 470 455
W30X211 2817 2817 2817 2817 2817 2785 2689 2594 2499 2404 2309 2213 2118 2023 1928 1833 1732 1602 1491 1394 1309 1234 1168 1108 1055 1006 962 922 885 851 819 790 763 738 714 692
0
500
1000
1500
2000
2500
3000
KLb
-FT
FT
W27X84
W27X94
W30X108
W30X116
W30X124
W30X132
W30X148
W30X173
W30X191
W30X211
27
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W30X235 TO W33X130
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W30X235 3177 3177 3177 3177 3177 3143 3036 2929 2822 2714 2607 2500 2393 2285 2178 2071 1963 1815 1689 1579 1483 1398 1322 1255 1194 1139 1089 1044 1002 963 927 894 864 835 808 783
W30X261 3537 3537 3537 3537 3537 3504 3385 3266 3146 3027 2908 2789 2670 2550 2431 2312 2193 2034 1892 1768 1661 1565 1481 1405 1337 1275 1219 1168 1121 1078 1038 1001 966 934 904 876
W30X292 3976 3976 3976 3976 3976 3948 3837 3726 3615 3504 3392 3281 3170 3059 2948 2837 2726 2615 2504 2373 2235 2113 2004 1905 1816 1736 1662 1594 1532 1475 1422 1373 1327 1284 1244 1206
W30X326 4463 4463 4463 4463 4463 4443 4334 4226 4117 4009 3900 3791 3683 3574 3466 3357 3249 3140 3032 2923 2815 2697 2561 2438 2327 2226 2133 2048 1970 1898 1831 1768 1710 1655 1604 1556
W30X357 4951 4951 4951 4951 4951 4933 4826 4719 4612 4504 4397 4290 4183 4076 3968 3861 3754 3647 3540 3432 3325 3218 3111 3004 2871 2747 2635 2531 2435 2347 2264 2188 2116 2049 1987 1928
W30X391 5438 5438 5438 5438 5438 5427 5310 5193 5076 4960 4843 4726 4610 4493 4376 4259 4143 4026 3909 3792 3676 3559 3442 3326 3188 3051 2925 2810 2704 2605 2514 2429 2349 2275 2205 2140
W30X90 1061 1061 1061 1061 1061 1051 886 722 561 443 359 297 249 212 183 159 140 124 111 99.4 89.8 81.4 74.1 67.9 62.3 57.5 53.1 49.2 45.8 42.7 39.9 37.4 35.1 33 31.1 29.3
W30X99 1170 1170 1170 1156 1079 1002 925 848 771 686 586 510 452 405 367 335 309 287 267 250 235 222 211 200 191 182 174 167 160 154 149 144 139 134 130 126
W33X118 1556 1556 1556 1537 1425 1313 1201 1089 977 803 650 537 452 385 332 289 254 225 201 180 163 147 134 123 113 104 96.2 89.2 83 77.3 72.3 67.6 63.5 59.7 56.2 53.1
W33X130 1751 1751 1751 1751 1663 1561 1460 1359 1257 1156 1046 906 798 712 643 586 538 498 463 433 406 383 362 344 327 312 298 286 274 264 254 245 236 229 221 214
0
1000
2000
3000
4000
5000
6000
KLb
-FT
FT
W30X235
W30X261
W30X292
W30X326
W30X357
W30X391
W30X90
W30X99
W33X118
W33X130
28
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W33X141 TO W33X354
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W33X141 1928 1928 1928 1928 1841 1730 1620 1509 1399 1288 1178 1020 898 801 723 658 604 559 519 485 456 429 406 385 367 350 334 320 307 295 284 274 265 256 248 240
W33X152 2097 2097 2097 2097 2010 1891 1772 1652 1533 1414 1295 1128 992 885 798 727 667 617 573 535 503 474 448 425 404 385 368 353 338 325 313 302 292 282 273 264
W33X169 2359 2359 2359 2359 2267 2134 2000 1867 1733 1600 1466 1282 1127 1005 906 825 757 700 650 608 570 537 508 482 458 437 418 400 384 369 355 342 331 320 309 300
W33X201 2899 2899 2899 2899 2836 2734 2632 2530 2428 2327 2225 2123 2021 1919 1818 1650 1498 1372 1264 1172 1092 1022 961 906 858 814 775 739 707 677 650 625 602 580 560 542
W33X221 3214 3214 3214 3214 3214 3187 3058 2929 2801 2672 2543 2414 2286 2157 2028 1846 1676 1534 1414 1310 1220 1142 1074 1013 958 909 865 826 789 756 726 698 672 648 626 605
W33X241 3525 3525 3525 3525 3525 3501 3361 3221 3081 2941 2801 2661 2521 2381 2241 2052 1863 1705 1570 1455 1355 1268 1191 1123 1063 1009 960 915 875 838 804 773 744 718 693 670
W33X263 3901 3901 3901 3901 3901 3885 3759 3634 3509 3383 3258 3132 3007 2882 2756 2631 2505 2362 2195 2051 1924 1813 1714 1625 1546 1474 1409 1349 1294 1244 1198 1155 1115 1078 1043 1010
W33X291 4351 4351 4351 4351 4351 4342 4201 4060 3919 3778 3637 3497 3356 3215 3074 2933 2792 2637 2451 2289 2148 2023 1913 1814 1725 1645 1572 1505 1444 1388 1336 1288 1243 1202 1163 1127
W33X318 4763 4763 4763 4763 4763 4757 4628 4500 4371 4242 4114 3985 3856 3728 3599 3470 3342 3213 3085 2956 2796 2642 2504 2380 2268 2166 2074 1989 1911 1839 1773 1711 1653 1600 1549 1502
W33X354 5326 5326 5326 5326 5326 5324 5181 5039 4896 4754 4611 4469 4326 4184 4041 3899 3756 3614 3471 3328 3160 2985 2828 2688 2562 2447 2342 2246 2158 2077 2001 1932 1866 1806 1749 1696
0
1000
2000
3000
4000
5000
6000
KLb
-FT
FT
W33X141
W33X152
W33X169
W33X201
W33X221
W33X241
W33X263
W33X291
W33X318
W33X354
29
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W33X387 TO W36X232
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W33X387 5851 5851 5851 5851 5851 5851 5720 5584 5447 5311 5175 5039 4903 4766 4630 4494 4358 4222 4086 3949 3813 3677 3537 3366 3211 3071 2942 2824 2715 2615 2522 2435 2354 2279 2208 2142
W36X135 1909 1909 1909 1909 1909 1909 1710 1494 1279 1047 848 701 589 502 433 377 331 293 262 235 212 192 175 160 147 136 125 116 108 101 94.2 88.2 82.8 77.8 73.4 69.2
W36X150 2179 2179 2179 2179 2082 1961 1840 1719 1598 1477 1356 1193 1049 935 843 767 704 650 604 564 529 499 471 447 425 405 387 371 356 342 329 318 307 296 287 278
W36X160 2340 2340 2340 2340 2253 2122 1992 1862 1732 1602 1472 1300 1143 1018 917 835 766 707 657 614 576 542 513 486 462 441 421 403 387 372 358 345 333 322 311 302
W36X170 2505 2505 2505 2505 2419 2280 2142 2003 1865 1726 1588 1410 1238 1103 994 904 829 766 711 664 623 587 554 526 500 476 455 436 418 402 387 373 360 348 337 326
W36X182 2693 2693 2693 2693 2604 2455 2306 2157 2008 1859 1710 1523 1338 1192 1073 976 895 826 767 717 672 633 598 567 539 514 491 470 451 433 417 402 388 375 363 352
W36X194 2877 2877 2877 2877 2786 2628 2470 2312 2154 1996 1838 1645 1444 1286 1158 1053 965 891 827 772 724 682 644 611 581 553 529 506 485 466 449 433 418 404 391 378
W36X210 3124 3124 3124 3124 3030 2859 2688 2517 2346 2174 2003 1801 1581 1408 1267 1152 1056 974 904 844 791 745 704 667 634 605 577 553 530 509 490 473 456 441 427 413
W36X231 3612 3612 3612 3612 3548 3427 3306 3185 3064 2944 2823 2702 2581 2460 2339 2195 1991 1820 1675 1551 1444 1350 1268 1195 1130 1072 1020 972 929 889 853 820 789 761 735 710
W36X232 3511 3511 3511 3511 3511 3511 3324 3137 2950 2763 2577 2390 2203 2003 1823 1674 1547 1439 1345 1263 1191 1127 1069 1018 971 928 889 854 821 790 762 736 711 689 667 647
0
1000
2000
3000
4000
5000
6000
7000
KLb
-FT
FT
W33X387
W36X135
W36X150
W36X160
W36X170
W36X182
W36X194
W36X210
W36X231
W36X232
30
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W36X247 TO W36X487
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W36X247 3863 3863 3863 3863 3802 3672 3543 3414 3284 3155 3026 2896 2767 2638 2508 2359 2140 1956 1800 1667 1551 1451 1362 1284 1214 1151 1095 1044 997 955 916 880 848 817 789 762
W36X256 3901 3901 3901 3901 3901 3901 3701 3496 3291 3085 2880 2675 2470 2251 2048 1880 1737 1615 1510 1418 1336 1264 1199 1141 1089 1041 997 957 920 886 854 825 797 772 748 725
W36X262 4126 4126 4126 4126 4065 3928 3790 3652 3514 3377 3239 3101 2963 2826 2688 2546 2309 2110 1941 1797 1672 1563 1467 1383 1307 1240 1179 1124 1074 1028 986 948 912 879 848 820
W36X282 4463 4463 4463 4463 4463 4463 4333 4195 4058 3921 3783 3646 3509 3371 3234 3097 2959 2822 2650 2473 2319 2183 2062 1954 1858 1771 1691 1619 1553 1492 1436 1384 1336 1291 1249 1210
W36X302 4801 4801 4801 4801 4801 4801 4670 4523 4375 4228 4081 3933 3786 3639 3491 3344 3197 3050 2871 2679 2512 2364 2233 2117 2012 1917 1831 1753 1681 1615 1554 1498 1446 1397 1352 1309
W36X330 5288 5288 5288 5288 5288 5288 5147 4984 4820 4657 4494 4330 4167 4003 3840 3676 3513 3349 3154 2943 2759 2597 2453 2325 2210 2106 2012 1925 1847 1774 1707 1645 1588 1535 1485 1438
W36X361 5813 5813 5813 5813 5813 5813 5684 5533 5381 5229 5077 4925 4774 4622 4470 4318 4167 4015 3863 3711 3559 3364 3187 3028 2884 2754 2636 2527 2427 2335 2250 2172 2098 2030 1966 1906
W36X395 6413 6413 6413 6413 6413 6413 6277 6111 5945 5779 5613 5447 5281 5115 4949 4783 4617 4451 4285 4119 3953 3746 3549 3371 3211 3066 2934 2813 2702 2600 2505 2417 2335 2259 2187 2121
W36X441 7164 7164 7164 7164 7164 7164 7039 6879 6719 6559 6399 6239 6079 5919 5759 5599 5438 5278 5118 4958 4798 4638 4478 4311 4112 3930 3765 3613 3473 3343 3224 3113 3009 2912 2821 2736
W36X487 7989 7989 7989 7989 7989 7989 7872 7714 7556 7398 7240 7081 6923 6765 6607 6449 6291 6133 5975 5816 5658 5500 5342 5184 5026 4868 4682 4496 4324 4165 4018 3881 3753 3633 3521 3416
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
KLb
-FT
FT
W36X247
W36X256
W36X262
W36X282
W36X302
W36X330
W36X361
W36X395
W36X441
W36X487
31
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W36X529 TO W40X249
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W36X529 8739 8739 8739 8739 8739 8739 8624 8452 8280 8107 7935 7762 7590 7417 7245 7072 6900 6727 6555 6382 6210 6037 5865 5692 5520 5347 5160 4954 4765 4589 4427 4275 4134 4002 3879 3763
W36X652 1091 1091 1091 1091 1091 1091 1081 1065 1048 1032 1016 1000 9837 9675 9512 9350 9187 9024 8862 8699 8537 8374 8212 8049 7887 7724 7562 7399 7237 7074 6911 6749 6586 6413 6218 6034
W40X149 2243 2243 2243 2243 2243 2243 2141 1927 1713 1499 1286 1115 983 878 793 723 665 615 572 535 503 474 448 426 405 386 369 354 340 327 315 303 293 283 274 266
W40X167 2599 2599 2599 2599 2462 2315 2167 2019 1871 1723 1574 1363 1200 1071 966 880 808 747 694 649 609 574 543 515 490 468 447 428 411 395 380 367 354 342 331 321
W40X183 2903 2903 2903 2903 2778 2616 2455 2293 2132 1970 1808 1585 1394 1243 1121 1020 936 865 804 751 704 664 627 595 566 540 516 494 474 456 439 423 408 395 382 370
W40X199 3259 3259 3259 3259 3183 3065 2947 2829 2711 2593 2475 2357 2240 2122 1986 1790 1627 1490 1374 1275 1188 1113 1047 988 935 888 846 807 772 740 710 683 658 634 613 593
W40X211 3398 3398 3398 3398 3398 3310 3076 2842 2608 2374 2140 1871 1645 1466 1321 1202 1103 1019 947 884 829 781 739 700 666 635 607 581 558 536 516 497 480 464 449 435
W40X215 3616 3616 3616 3616 3536 3410 3283 3156 3030 2903 2776 2649 2523 2396 2269 2054 1866 1708 1575 1460 1360 1274 1197 1129 1069 1015 966 921 881 844 810 779 750 724 699 676
W40X235 3788 3788 3788 3788 3788 3732 3469 3206 2942 2679 2416 2123 1865 1662 1497 1362 1249 1153 1071 1000 938 883 835 792 753 718 686 656 630 605 583 562 542 524 507 491
W40X249 4201 4201 4201 4201 4113 3965 3816 3668 3519 3370 3222 3073 2925 2776 2627 2381 2163 1980 1825 1692 1577 1476 1387 1309 1239 1176 1119 1068 1021 978 939 903 869 838 810 783
0
2000
4000
6000
8000
10000
12000
KLb
-FT
FT
W36X529
W36X652
W40X149
W40X167
W40X183
W40X199
W40X211
W40X215
W40X235
W40X249
32
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W40X264 TO W40X372
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W40X264 4238 4238 4238 4238 4238 4186 3956 3725 3495 3264 3033 2803 2572 2321 2115 1943 1797 1672 1564 1469 1386 1311 1245 1185 1131 1081 1036 995 956 921 888 858 829 803 778 755
W40X277 4688 4688 4688 4688 4589 4423 4257 4092 3926 3760 3594 3429 3263 3097 2931 2671 2426 2220 2046 1896 1767 1654 1554 1466 1387 1316 1253 1195 1143 1095 1051 1010 973 938 906 876
W40X278 4463 4463 4463 4463 4463 4415 4171 3928 3685 3441 3198 2955 2711 2450 2232 2050 1896 1764 1650 1550 1462 1383 1313 1250 1193 1140 1093 1049 1009 971 937 905 875 847 821 796
W40X294 4763 4763 4763 4763 4630 4413 4197 3980 3763 3546 3329 3112 2895 2632 2397 2201 2035 1893 1770 1663 1568 1483 1408 1340 1278 1222 1171 1124 1081 1041 1004 970 937 907 879 853
W40X297 4988 4988 4988 4988 4905 4756 4608 4459 4311 4163 4014 3866 3717 3569 3420 3272 3124 2919 2715 2537 2382 2244 2123 2014 1916 1827 1747 1673 1605 1543 1486 1433 1384 1338 1295 1254
W40X324 5476 5476 5476 5476 5476 5433 5254 5075 4897 4718 4539 4360 4181 4002 3823 3644 3466 3252 3022 2824 2650 2497 2361 2240 2130 2031 1941 1859 1784 1715 1651 1592 1537 1486 1438 1393
W40X327 5288 5288 5288 5288 5288 5236 4956 4677 4397 4118 3839 3559 3280 2980 2713 2490 2302 2141 2001 1879 1772 1676 1591 1514 1444 1380 1323 1269 1220 1175 1133 1094 1058 1024 992 963
W40X331 5363 5363 5363 5363 5255 5049 4844 4638 4432 4226 4020 3815 3609 3403 3197 2952 2739 2556 2397 2257 2132 2021 1922 1832 1750 1675 1607 1544 1485 1432 1382 1335 1292 1251 1213 1177
W40X362 6151 6151 6151 6151 6051 5870 5688 5507 5325 5144 4962 4781 4599 4418 4236 4055 3873 3667 3408 3183 2987 2814 2660 2522 2399 2287 2186 2093 2008 1930 1858 1791 1729 1672 1618 1567
W40X372 6301 6301 6301 6301 6301 6270 6063 5857 5650 5444 5237 5031 4824 4618 4411 4205 3998 3771 3504 3273 3071 2893 2735 2594 2466 2352 2247 2152 2065 1985 1910 1842 1778 1719 1663 1612
0
1000
2000
3000
4000
5000
6000
7000
KLb
-FT
FT
W40X264
W40X277
W40X278
W40X294
W40X297
W40X324
W40X327
W40X331
W40X362
W40X372
33
FY 50,000 Ps i CB 1
NOMOGRAM FOR LATERAL TORSIONAL BUCKLING OF W SHAPES ASIC 2010
MADE BY ING. DAVID FLORES VIDRIALES
SHAPES FORM W40X372 TO W44X335
0 7.87 13.12 21 26.25 34.12 39.37 47.24 52.49 60.37 65.62 73.49 78.74 86.61 91.86
W40X372 6301 6301 6301 6301 6301 6270 6063 5857 5650 5444 5237 5031 4824 4618 4411 4205 3998 3771 3504 3273 3071 2893 2735 2594 2466 2352 2247 2152 2065 1985 1910 1842 1778 1719 1663 1612
W40X392 6413 6413 6413 6413 6413 6375 6142 5909 5676 5443 5209 4976 4743 4509 4276 4043 3810 3562 3344 3152 2982 2829 2692 2567 2454 2350 2255 2168 2087 2012 1943 1878 1817 1760 1707 1657
W40X397 6751 6751 6751 6751 6673 6504 6334 6165 5996 5827 5658 5489 5320 5151 4981 4812 4643 4474 4305 4136 3909 3693 3501 3328 3171 3029 2900 2782 2673 2572 2479 2393 2312 2237 2167 2101
W40X431 7351 7351 7351 7351 7351 7328 7127 6926 6726 6525 6324 6123 5922 5721 5520 5319 5118 4917 4716 4515 4275 4038 3827 3638 3467 3312 3170 3040 2921 2811 2709 2615 2527 2445 2368 2296
W40X503 8701 8701 8701 8701 8701 8683 8478 8273 8068 7863 7657 7452 7247 7042 6837 6632 6427 6221 6016 5811 5606 5401 5193 4942 4715 4508 4319 4146 3986 3839 3702 3575 3456 3346 3242 3144
W40X593 1035 1035 1035 1035 1035 1035 1015 9965 9772 9579 9386 9193 9000 8807 8614 8421 8228 8035 7842 7649 7456 7263 7070 6877 6684 6491 6298 6093 5863 5650 5453 5269 5097 4936 4785 4643
W44X230 4126 4126 4126 4126 4126 4126 3968 3788 3608 3429 3249 3069 2889 2709 2516 2267 2060 1887 1740 1614 1505 1409 1325 1250 1184 1124 1070 1021 977 936 898 864 832 803 775 750
W44X262 4763 4763 4763 4763 4763 4687 4491 4294 4098 3901 3705 3508 3312 3116 2919 2628 2388 2187 2016 1869 1742 1631 1534 1447 1370 1300 1238 1181 1129 1082 1039 999 962 928 896 866
W44X290 5288 5288 5288 5288 5288 5213 4998 4783 4568 4353 4137 3922 3707 3492 3277 2961 2690 2463 2270 2105 1961 1836 1726 1628 1541 1463 1392 1329 1270 1217 1168 1123 1082 1043 1008 974
W44X335 6076 6076 6076 6076 6076 5998 5750 5502 5253 5005 4757 4509 4260 4012 3764 3419 3105 2842 2619 2427 2262 2117 1989 1876 1776 1685 1604 1530 1463 1401 1345 1293 1245 1201 1160 1121
0
2000
4000
6000
8000
10000
12000
KLb
-FT
FT
W40X372
W40X392
W40X397
W40X431
W40X503
W40X593
W44X230
W44X262
W44X290
W44X335
