Appendix A — Geometric Properties of Standard Beams

A.1 Wide-Flange (W) Shapes. US Customary Units.

Wide-flange beam cross-section

Label Area, A (in.2) Depth, d (in.) Flange Width, bf (in.) Flange Thickness, tf (in.) Web Thickness, tw (in.) Ix (in.4) Sx (in.3) rx (in.) Iy (in.4) Sy (in.3) ry (in.)
W40x431 127 41.3 16.2 2.36 1.34 34800 1690 16.6 1690 208 3.65
W40x297 87.3 39.8 15.8 1.65 0.930 23200 1170 16.3 1090 138 3.54
W40x264 77.4 40.0 11.9 1.73 0.960 19400 971 15.8 493 82.6 2.52
W36x487 143 39.3 17.1 2.68 1.50 36000 1830 15.8 2250 263 3.96
W36x247 72.5 36.7 16.5 1.35 0.800 16700 913 15.2 1010 123 3.74
W36x210 61.9 36.7 12.2 1.36 0.830 13200 719 14.6 411 67.5 2.58
W30x326 95.9 32.4 15.4 2.05 1.14 16800 1040 13.2 1240 162 3.60
W30x173 50.9 30.4 15.0 1.07 0.655 8230 541 12.7 598 79.8 3.42
W30x99 29.0 29.7 10.5 0.670 0.520 3990 269 11.7 128 24.5 2.10
W24x279 81.9 26.7 13.3 2.09 1.16 9600 718 10.8 823 124 3.17
W24x131 38.6 24.5 12.9 0.960 0.605 4020 329 10.2 340 53.0 2.97
W24x84 24.7 24.1 9.02 0.770 0.470 2370 196 9.79 94.4 20.9 1.95
W21x201 59.3 23.0 12.6 1.63 0.910 5310 461 9.47 542 86.1 3.02
W21x122 35.9 21.7 12.4 0.960 0.600 2960 273 9.09 305 49.2 2.92
W21x68 20.0 21.1 8.27 0.685 0.430 1480 140 8.60 64.7 15.7 1.80
W18x130 38.3 19.3 11.2 1.20 0.670 2460 256 8.03 278 49.9 2.70
W18x76 22.3 18.2 11.0 0.680 0.425 1330 146 7.73 152 27.6 2.61
W18x40 11.8 17.9 6.02 0.525 0.315 612 68.4 7.21 19.1 6.35 1.27
W16x67 19.6 16.3 10.2 0.665 0.395 954 117 6.96 119 23.2 2.46
W16x40 11.8 16.0 7.00 0.505 0.305 518 64.7 6.63 28.9 8.25 1.57
W16x31 9.13 15.9 5.53 0.440 0.275 375 47.2 6.41 12.4 4.49 1.17
W14x90 26.5 14.0 14.5 0.710 0.440 999 143 6.14 362 49.9 3.70
W14x53 15.6 13.9 8.06 0.660 0.370 541 77.8 5.89 57.7 14.3 1.92
W14x34 10.0 14.0 6.75 0.455 0.285 340 48.6 5.83 23.3 6.91 1.53
W12x106 31.2 12.9 12.2 0.990 0.610 933 145 5.47 301 49.3 3.11
W12x53 15.6 12.1 10.0 0.575 0.345 425 70.6 5.23 95.8 19.2 2.48
W12x26 7.65 12.2 6.49 0.380 0.230 204 33.4 5.17 17.3 5.34 1.51

A.2 Wide-Flange (W) Shapes. SI Units.

Label Area, A (mm2) Depth, d (mm) Flange Width, bf (mm) Flange Thickness, tf (mm) Web Thickness, tw (mm) Ix (x106 mm4) Sx (x103 mm3) rx (mm) Iy (x106 mm4) Sy (x103 mm3) ry (mm)
W1000x642 81900 1050 411 59.9 34.0 14500 27700 422 703 3410 92.7
W1000x443 56300 1010 401 41.9 23.6 9660 19200 414 454 2260 89.9
W1000x393 49900 1020 302 43.9 24.4 8070 15900 401 205 1350 64.0
W920x725 92300 998 434 68.1 38.1 15000 30000 401 937 4310 101
W920x368 46800 932 419 34.3 20.3 6950 15000 386 420 2020 95.0
W920x313 39900 932 310 34.5 21.1 5490 11800 371 171 1110 65.5
W760x484 61900 823 391 29.0 52.1 6990 17000 335 516 2650 91.4
W760x257 32800 772 381 27.2 16.6 3430 8870 323 249 1310 86.9
W760x147 18700 754 267 17.0 13.2 1660 4410 297 53.3 401 53.3
W610x415 52800 678 338 53.1 29.5 4000 11800 274 343 2030 80.5
W610x195 24900 622 328 24.4 15.4 1670 5390 259 142 869 75.4
W610x125 15900 612 229 19.6 11.9 986 3210 249 39.3 342 49.5
W530x300 38300 584 320 41.4 23.1 2210 7550 241 226 1410 76.7
W530x182 23200 551 315 24.4 15.2 1230 4470 231 127 806 74.2
W530x101 12900 536 210 17.4 10.98 616 2290 218 26.9 257 45.7
W460x193 24700 490 284 30.5 17.0 1020 4200 204 116 818 68.6
W460x113 14400 462 279 17.3 10.8 554 2390 196 63.3 452 66.3
W460x60 7610 455 153 8.00 13.3 255 1120 183 7.95 104 32.3
W410x100 12600 414 259 16.9 10.0 397 1920 177 49.5 380 62.5
W410x60 7610 406 178 12.8 7.75 216 1060 168 12.0 135 39.9
W410x46.1 5890 404 140 11.2 6.99 156 773 163 5.16 73.6 29.7
W360x134 17100 356 368 18.0 11.2 416 2340 156 151 818 94.0
W360x79 10100 353 205 16.8 9.40 225 1270 150 24.0 234 48.8
W360x51 6450 356 171 11.6 7.24 142 796 148 9.70 113 38.9
W310x158 20100 328 310 25.1 15.5 388 2380 139 125 808 79.0
W310x79 10100 307 254 14.6 8.76 177 1160 133 39.9 315 63.0
W310x38.7 4940 310 165 9.65 5.84 64.9 547 131 7.20 87.5 38.4

A.3 WT Shapes. US Customary Units.

Cross-section of a WT-beam

Label Area, A (in.2) Depth, d (in.) Flange Width, bf (in.) Flange Thickness, tf (in.) Web Thickness, tw (in.) \(\bar{y}\) ( in. below top) Ix (in.4) Sx (in.3) rx (in.) Iy (in.4) Sy (in.3) ry (in.)
WT22x184 54.0 22.2 16.0 2.17 1.22 5.57 2380 143 6.64 675 84.4 3.54
WT22x145 42.6 21.8 15.8 1.58 0.865 5.26 1830 111 6.54 521 65.9 3.49
WT22x115 33.9 21.5 15.8 1.22 0.710 5.17 1440 88.6 6.53 398 50.5 3.43
WT18x143 42.0 18.9 12.3 1.93 1.06 5.02 1360 98.0 5.69 301 48.9 2.68
WT18x105 30.9 18.3 12.2 1.36 0.830 4.87 985 73.1 5.65 206 33.8 2.58
WT18x85 25.0 18.1 12.0 1.10 0.680 4.73 786 58.9 5.61 160 26.6 2.53
WT15x117.5 34.7 15.7 15.1 1.50 0.830 3.41 674 55.1 4.41 427 5.8 3.51
WT15x74 21.8 15.3 10.5 1.18 0.650 3.84 466 40.6 4.63 114 21.7 2.28
WT15x58 17.1 15.0 10.5 0.850 0.565 3.94 373 33.7 4.67 82.1 15.6 2.19
WT13.5x89 26.3 13.9 14.1 1.19 0.725 3.04 414 38.2 3.97 278 39.4 3.25
WT13.5x57 16.8 13.6 10.1 0.930 0.570 3.42 289 28.3 4.15 79.3 15.8 2.18
WT13.5x47 13.8 13.5 10.0 0.745 0.490 3.41 239 23.8 4.16 62.0 12.4 2.12
WT12x73 21.5 12.4 12.9 1.09 0.650 2.66 264 27.2 3.50 195 30.3 3.01
WT12x52 15.3 12.0 12.8 0.750 0.500 2.59 189 20.0 3.51 130 20.3 2.91
WT12x42 12.4 12.1 9.02 0.770 0.470 2.97 166 18.3 3.67 47.2 10.5 1.95
WT10.5x66 19.4 10.9 12.4 1.04 0.650 2.33 181 21.1 3.06 166 26.7 2.93
WT10.5x50.5 14.9 10.7 12.3 0.800 0.500 2.18 135 15.8 3.01 124 20.2 2.89
WT10.5x34 10.0 10.6 8.27 0.685 0.430 2.59 103 12.9 3.20 32.4 7.83 1.80
WT9x79 23.2 9.86 11.3 1.44 0.810 2.17 160 20.8 2.63 174 30.7 2.74
WT9x53 15.6 9.37 11.2 0.940 0.590 1.97 104 14.1 2.59 110 19.7 2.66
WT9x38 11.1 9.11 11.0 0.680 0.425 1.80 71.8 9.83 2.54 76.2 13.8 2.61
WT7x88 25.9 7.61 15.7 1.31 0.830 1.43 80.5 13.0 1.76 419 53.5 4.02
WT7x60 17.7 7.24 14.7 0.940 0.590 1.24 51.7 8.61 1.71 247 33.7 3.74
WT7x41 12.0 7.16 10.1 0.855 0.510 1.39 41.2 7.14 1.85 74.1 14.6 2.48
WT5x44 13.0 5.42 10.3 0.990 0.605 1.06 20.8 4.77 1.27 89.9 17.4 2.63
WT5x30 8.84 5.11 10.1 0.680 0.420 0.884 12.9 3.04 1.21 58.1 11.5 2.57
WT5x15 4.42 5.24 5.81 0.510 0.300 1.10 9.28 2.24 1.45 8.35 2.87 1.37

A.4 WT Shapes. SI Units.

Label Area, A (mm2) Depth, d (mm) Flange Width, bf (mm) Flange Thickness, tf (mm) Web Thickness, tw (mm) \(\bar{y}\) (mm below top) Ix (x106 mm4) Sx (x103 mm3) rx (mm) Iy (x106 mm4) Sy (x103 mm3) ry (mm)
WT550x274 34800 564 406 50.0 27.9 141 991 2340 169 281 1380 89.9
WT550x216.5 27500 554 401 40.1 22.0 134 762 1820 166 217 1080 88.6
WT550x171.5 21900 546 401 31.0 18.0 131 599 1450 166 166 828 87.1
WT460x212.5 27100 480 312 49.0 26.9 128 566 1610 145 125 801 68.1
WT460x156.5 19900 465 310 34.5 21.1 124 410 1200 144 85.7 554 65.5
WT460x126.5 16100 460 305 27.9 17.3 120 327 965 142 66.6 436 64.3
WT380x175 22400 399 384 38.1 21.1 86.6 281 903 112 178 931 89.2
WT380x110 14100 389 267 30.0 16.5 97.5 194 665 118 47.5 356 57.9
WT380x86.5 11000 381 267 21.6 14.4 100 155 552 119 34.2 256 55.6
WT345x132.5 17000 353 358 30.2 18.4 77.2 172 626 101 116 646 82.6
WT345x85 10800 345 257 23.6 14.5 86.9 120 464 105 33.0 259 55.4
WT345x70 8900 343 254 18.9 12.4 86.6 99.5 390 106 25.8 203 53.8
WT305x108.5 13900 315 328 27.7 16.5 67.6 110 446 88.9 81.2 497 76.5
WT305x77.5 9870 305 325 19.1 12.7 65.8 78.7 328 89.2 54.1 333 73.9
WT305x62.5 8000 307 229 19.6 11.9 75.4 69.1 300 93.2 19.6 172 49.5
WT265x98 12500 277 315 26.4 16.5 59.2 75.3 346 77.7 69.1 438 74.4
WT265x75 9610 272 312 20.3 12.7 55.4 56.2 259 76.5 51.6 331 73.4
WT265x50.5 6450 269 210 17.4 10.9 65.8 42.9 211 81.3 13.5 128 45.7
WT230x117.5 15000 250 287 36.6 20.6 55.1 66.6 341 66.8 72.4 503 69.6
WT230x79 10100 238 284 23.9 15.0 50.0 43.3 231 65.8 45.8 323 67.6
WT230x56.5 7160 231 279 17.3 10.8 45.7 29.9 161 64.5 31.7 226 66.3
WT180x131 16700 193 399 33.3 21.1 36.3 33.5 213 44.7 174 877 102
WT180x89.5 11400 184 373 23.9 15.0 31.5 21.5 141 43.4 103 552 95.0
WT180x61 7740 182 257 21.7 13.0 35.3 17.1 117 47.0 30.8 239 63.0
WT125x65.5 8390 138 262 25.1 15.4 26.9 8.66 78.2 32.3 37.2 285 66.8
WT125x44.5 5700 130 257 17.3 10.7 22.5 5.37 49.8 30.7 24.2 188 65.3
WT125x224 2850 133 148 13.0 7.62 27.9 3.86 36.7 36.8 3.48 47.0 34.8

References

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Table data

“Copyright © American Institute of Steel Construction Reprinted with permission. All rights reserved.”

Figures Appendix A figures: Kindred Grey. 2024. CC BY-NC-SA.