Appendix B Y

bf
tf
W-shape r
( E = 2x106 ksc , F y = 2500 ksc) d X
tw

thickness section modulus plastic modulus Cw

wt. d bf r A Ix Iy rx ry r ts b/t f h/t w J Lp Lr
size tw tf Sx Sy Zx Zy (x106)
2
cm4 cm4 3
kg/m mm mm mm mm mm cm cm cm cm cm cm3 cm3 cm3 cm4 cm6 cm cm
286 912 302 18 34 28 364.0 498,000 15,700 37.0 6.56 7.95 10,900 1,040 12,221 1,619 4.44 43.78 962 30.26 327 1047
900x300 243 900 300 16 28 28 309.8 411,000 12,600 36.4 6.39 7.75 9,140 843 10,174 1,314 5.36 49.25 558 23.95 318 959
213 890 299 15 23 28 270.9 345,000 10,300 35.7 6.16 7.59 7,760 688 8,634 1,076 6.50 52.53 340 19.36 307 900
241 808 302 16 30 28 307.6 339,000 13,800 33.2 6.70 7.99 8,400 915 9,287 1,416 5.03 43.25 650 20.88 334 1051
800x300 210 800 300 14 26 28 267.4 292,000 11,700 33.0 6.62 7.88 7,290 782 7,995 1,207 5.77 49.43 422 17.52 330 985
191 792 300 14 22 28 243.4 254,000 9,930 32.3 6.39 7.72 6,410 662 7,040 1,027 6.82 49.43 283 14.72 318 930
215 708 302 15 28 28 273.6 237,000 12,900 29.4 6.86 8.09 6,700 853 7,344 1,314 5.39 39.73 518 14.91 341 1094
700x300 185 700 300 13 24 28 235.5 201,000 10,800 29.3 6.78 7.96 5,760 722 6,249 1,108 6.25 45.85 326 12.34 338 1013
166 692 300 13 20 28 211.5 172,000 9,020 28.6 6.53 7.80 4,980 602 5,414 928 7.50 45.85 209 10.18 325 950
175 594 302 14 23 28 222.4 137,000 10,600 24.9 6.90 8.09 4,620 701 5,017 1,076 6.57 35.14 297 8.64 343 1092
600x300 151 588 300 12 20 28 192.5 118,000 9,020 24.8 6.85 7.98 4,020 601 4,309 920 7.50 41.00 193 7.28 341 1017
137 582 300 12 17 28 174.5 103,000 7,670 24.3 6.63 7.83 3,530 511 3,782 785 8.82 41.00 131 6.12 330 960
134 612 202 13 23 22 170.7 103,000 3,180 24.6 4.31 5.26 3,380 314 3,778 493 4.39 40.15 207 2.76 215 698
120 606 201 12 20 22 152.5 90,400 2,720 24.3 4.22 5.17 2,980 271 3,317 424 5.03 43.50 141 2.34 210 654
600x200
106 600 200 11 17 22 134.4 77,600 2,280 24.0 4.12 5.07 2,590 228 2,863 357 5.88 47.45 91.4 1.94 205 614
94.6 596 199 10 15 22 120.5 68,700 1,980 23.9 4.05 4.99 2,310 199 2,535 311 6.63 52.20 64.1 1.67 202 589
128 488 300 11 18 26 163.5 71,000 8,110 20.8 7.04 8.09 2,910 541 3,100 824 8.33 36.36 137 4.48 350 1066
500x300
114 482 300 11 15 26 145.5 60,400 6,760 20.4 6.82 7.95 2,500 451 2,663 689 10.00 36.36 88.2 3.69 340 994
103 506 201 11 19 20 131.3 56,500 2,580 20.7 4.43 5.31 2,230 257 2,462 398 5.29 38.91 114 1.53 221 705
500x200 89.6 500 200 10 16 20 114.2 47,800 2,140 20.5 4.33 5.21 1,910 214 2,096 332 6.25 42.80 70.7 1.25 216 653
79.5 496 199 9 14 20 101.3 41,900 1,840 20.3 4.27 5.12 1,690 185 1,836 287 7.11 47.56 48.1 1.07 213 619
124 440 300 11 18 24 157.4 56,100 8,110 18.9 7.18 8.19 2,550 541 2,728 822 8.33 32.36 135 3.61 357 1134
450x300
106 434 299 10 15 24 135.0 46,800 6,690 18.6 7.04 8.06 2,160 448 2,287 681 9.97 35.60 81.2 2.94 350 1038
76.0 450 200 9 14 18 96.76 33,500 1,870 18.6 4.40 5.23 1,490 187 1,621 289 7.14 42.89 47.2 0.89 219 651
450x200
66.2 446 199 8 12 18 84.30 28,700 1,580 18.5 4.33 5.16 1,290 159 1,393 244 8.29 48.25 30.3 0.74 216 617
605 498 432 45 70 22 770.1 298,000 94,400 19.7 11.1 12.97 12,000 4,370 14,385 6,713 3.09 6.98 11,178 43.23 553 6041
415 458 417 30 50 22 528.6 187,000 60,500 18.8 10.7 12.29 8,170 2,900 9,468 4,428 4.17 10.47 3,842 25.18 533 4179
283 428 407 20 35 22 360.7 119,000 39,400 18.2 10.4 11.79 5,570 1,930 6,239 2,935 5.81 15.70 1,268 15.21 518 2880
232 414 405 18 28 22 295.4 92,800 31,000 17.7 10.2 11.17 4,480 1,530 4,954 2,325 7.23 17.44 668 11.55 508 2274
200 406 403 16 24 22 254.9 78,000 26,200 17.5 10.1 11.42 3,840 1,300 4,207 1,972 8.40 19.63 424 9.56 503 2061
400x400
197 400 408 21 21 22 250.7 70,900 23,800 16.8 9.75 11.29 3,540 1,170 3,920 1,787 9.71 14.95 369 8.55 485 1999
172 400 400 13 21 22 218.7 66,600 22,400 17.5 10.1 11.29 3,330 1,120 3,600 1,695 9.52 24.15 275 8.04 503 1836
168* 394 405 18 18 22 214.4 59,700 20,000 16.7 9.65 11.14 3,030 985 3,318 1,505 11.25 17.44 231 7.07 480 1767
147* 394 398 11 18 22 186.8 56,100 18,900 17.3 10.1 11.17 2,850 951 3,046 1,436 11.06 28.55 171 6.68 503 1647
140* 388 402 15 15 22 178.5 49,000 16,300 16.6 9.54 10.98 2,520 809 2,730 1,232 13.40 20.93 132 5.67 475 1564
107 390 300 10 16 22 136.0 38,700 7,210 16.9 7.28 8.25 1,980 481 2,116 729 9.38 31.40 94.4 2.52 362 1146
400x300
94.3 386 299 9 14 22 120.1 33,700 6,240 16.7 7.21 8.17 1,740 418 1,846 633 10.68 34.89 63.7 2.16 359 1071
66 400 200 8 13 16 84.12 23,700 1,740 16.8 4.54 5.32 1,190 174 1,286 266 7.69 42.75 35.9 0.65 226 669
400x200
56.6 396 199 7 11 16 72.16 20,000 1,450 16.7 4.48 5.26 1,010 145 1,088 222 9.05 48.86 22.1 0.54 223 632
159 356 352 14 22 20 202.0 47,600 16,000 15.3 8.90 9.72 2,670 909 2,927 1,378 8.00 19.43 280 4.46 443 1816
156 350 357 19 19 20 198.4 42,800 14,400 14.7 8.53 9.86 2,450 809 2,708 1,239 9.39 14.32 239 3.94 425 1795
137 350 350 12 19 20 173.9 40,300 13,600 15.2 8.84 9.89 2,300 776 2,493 1,175 9.21 22.67 179 3.73 440 1654
350x350
131* 344 354 16 16 20 166.6 35,300 11,800 14.6 8.43 9.72 2,050 669 2,247 1,022 11.06 17.00 141 3.17 420 1562
115* 344 348 10 16 20 146.0 33,300 11,200 15.1 8.78 9.73 1,940 646 2,070 977 10.88 27.20 106 3.01 437 1452
106* 338 351 13 13 20 135.3 28,200 9,380 14.4 8.33 9.55 1,670 534 1,799 814 13.50 20.92 75.2 2.48 415 1355
79.7 340 250 9 14 20 101.5 21,700 3,650 14.6 6.00 6.82 1,280 292 1,360 444 8.93 30.22 53.7 0.97 299 949
350x250
69.2 336 249 8 12 20 88.15 18,500 3,090 14.5 5.92 6.75 1,100 248 1,163 377 10.38 34.00 34.2 0.81 295 880
49.6 350 175 7 11 14 63.14 13,600 984 14.7 3.95 4.64 775 112 841 172 7.95 42.86 19.4 0.28 197 578
350x175
41.4 346 174 6 9 14 52.68 11,100 792 14.5 3.86 4.56 641 91.0 689 139 9.67 50.00 10.9 0.22 192 541
 Appendix B (cont'd) Y
bf
tf
W-shape r
( E = 2x106 ksc , F y = 2500 ksc) d X
tw

thickness section modulus plastic modulus Cw

wt. d bf r A Ix Iy rx ry r ts b/t f h/t w J Lp Lr
size tw tf Sx Sy Zx Zy (x106)
2 4 4 3 3 3 3 4 6
kg/m mm mm mm mm mm cm cm cm cm cm cm cm cm cm cm cm cm cm cm
106 304 301 11 17 18 134.8 23,400 7,730 13.2 7.57 8.49 1,540 514 1,669 778 8.85 21.27 111 1.59 377 1454
106 300 305 15 15 18 134.8 21,500 7,100 12.6 7.26 8.38 1,440 466 1,577 713 10.17 15.60 101 1.44 361 1423
300x300 94.0 300 300 10 15 18 119.8 20,400 6,750 13.1 7.51 8.41 1,360 450 1,465 682 10.00 23.40 77.0 1.37 374 1326
87.0 298 299 9 14 18 110.8 18,800 6,240 13.0 7.51 8.35 1,270 417 1,353 631 10.68 26.00 61.6 1.26 374 1256
84.5* 294 302 12 12 18 107.7 16,900 5,520 12.5 7.16 8.23 1,150 365 1,241 557 12.58 19.50 51.0 1.10 356 1208
65.4 298 201 9 14 18 83.36 13,300 1,900 12.6 4.77 5.50 893 189 963 288 7.18 26.00 43.7 0.38 237 829
300x200
56.8 294 200 8 12 18 72.38 11,300 1,600 12.5 4.71 5.41 771 160 823 244 8.33 29.25 27.9 0.32 234 752
36.7 300 150 6.5 9 13 46.78 7,210 508 12.4 3.29 3.92 481 67.7 522 104 8.33 39.38 10.0 0.11 164 486
300x150
32.0 298 149 5.5 8 13 40.80 6,320 442 12.4 3.29 3.89 424 59.3 455 90.9 9.31 46.55 6.7 0.09 164 465
82.2 250 255 14 14 16 104.7 11,500 3,880 10.5 6.09 7.06 919 304 1,015 466 9.11 13.57 68.2 0.54 303 1319
72.4 250 250 9 14 16 92.18 10,800 3,650 10.8 6.29 7.05 867 292 937 442 8.93 21.11 51.5 0.51 313 1207
250x250
66.5 248 249 8 13 16 84.70 9,930 3,350 10.8 6.29 6.80 801 269 859 407 9.58 23.75 40.5 0.46 313 1101
64.4* 244 252 11 11 16 82.06 8,790 2,940 10.3 5.98 6.90 720 233 781 356 11.45 17.27 32.7 0.40 298 1081
250x175 44.1 244 175 7 11 16 56.24 6,120 984 10.4 4.18 4.75 502 113 535 171 7.95 27.14 18.2 0.13 208 695
29.6 250 125 6 9 12 37.66 4,050 294 10.4 2.79 3.31 324 47.0 352 72.4 6.94 34.67 7.8 0.043 139 435
250x125
25.7 248 124 5 8 12 32.68 3,540 255 10.4 2.79 3.28 285 41.1 305 63.0 7.75 41.60 5.2 0.037 139 411
65.7 208 202 10 16 13 83.69 6,530 2,200 8.83 5.13 5.80 628 218 698 331 6.31 15.00 61.6 0.20 255 1337
200x200 56.2 200 204 12 12 13 71.53 4,980 1,700 8.35 4.88 5.66 498 167 553 256 8.50 12.50 34.3 0.15 243 1128
49.9 200 200 8 12 13 63.53 4,720 1,600 8.62 5.02 5.64 472 160 513 243 8.33 18.75 26.2 0.14 250 1029
200x150 30.6 194 150 6 9 13 39.01 2,690 507 8.30 3.61 4.11 277 67.6 296 103 8.33 25.00 8.6 0.043 180 616
21.3 200 100 5.5 8 11 27.16 1,840 134 8.24 2.22 2.64 184 26.8 200 41.4 6.25 29.45 4.5 0.012 111 367
200x100
18.2 198 99 4.5 7 11 23.18 1,580 114 8.26 2.21 2.61 160 23.0 170 35.2 7.07 36.00 2.8 0.010 110 338
175x175 40.2 175 175 7.5 11 12 51.21 2,880 984 7.50 4.38 4.94 330 112 360 171 7.95 17.20 17.8 0.066 218 942
175x125 23.3 169 125 5.5 8 12 29.65 1,530 261 7.18 2.97 3.41 181 41.8 193 63.7 7.81 23.45 5.2 0.017 148 518
175x90 18.1 175 90 5 8 9 23.04 1,210 97.5 7.26 2.06 2.42 139 21.7 152 33.4 5.63 28.20 3.8 0.007 103 358
150x150 31.5 150 150 7 10 11 40.14 1,640 563 6.39 3.75 4.24 219 75.1 240 114 7.50 15.43 11.6 0.028 187 856
150x100 21.1 148 100 6 9 11 26.84 1,020 151 6.71 2.37 2.76 138 30.1 150 46.2 5.56 18.00 5.9 0.007 118 509
150x75 14.0 150 75 5 7 8 17.85 666 49.5 6.11 1.66 2.00 88.8 13.2 98.2 20.5 5.36 24.00 2.3 0.003 82.6 306
125x125 23.8 125 125 6.5 9 10 30.31 847 293 5.29 3.11 3.53 136 47.0 149 71.4 6.94 13.38 7.1 0.010 155 771
125x60 13.2 125 60 6 8 9 16.84 413 29.2 4.95 1.32 1.61 66.1 9.73 74.0 15.4 3.75 15.17 2.9 0.001 65.7 323
100x100 17.2 100 100 6 8 10 21.90 383 134 4.18 2.47 2.84 76.5 26.7 84.2 40.8 6.25 10.67 4.1 0.003 123 693
100x50 9.30 100 50 5 7 8 11.85 187 14.8 3.98 1.12 1.35 37.5 5.91 41.8 9.29 3.57 14.00 1.5 0.0003 55.8 292

Z x = b f t f ( d − t f ) + tw ( d − 2t f ) / 4
2
Plastic modulus

Plastic modulus Z y = b2f t f / 2 + tw2 ( d − 2t f ) / 4

Torsional constant J = ( 2 b f t 3f + ht w3 ) / 3 ; h =( d −tf )
C w = I f h / 2 = t f b h / 24 = h I y / 4 h =( d −tf )
2 3 2 2
Warping constant f ;

Radius of gyration r =
2
ts I yCw / S x

Length L p = 1.76 ry E / Fy
2
⎛ 0.7 F y S x ho ⎞
Length L r = 1.95 rts
E Jc
1+ 1 + 6.76 ⎜ ⎟ ; c =1
0.7 F y S x ho ⎝ E Jc ⎠

b / t f = ( b f / 2) / t f
h / tw = (d − 2k ) / tw ; k = tf + r