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(Solved): 5) Select the lightest W310 that can resist the given loads as shown in the figure. Use the table ...
5) Select the lightest W310 that can resist the given loads as shown in the figure. Use the table below, with the x-axis. 20 kN 30 kN/m 16 kN B Vc D E ? ????? mm x kg/m in. x lbt W 310 x 500 W 12 x 336 63700 W 310 x 454 W 12 x 305 57 800 W 310 x 415 12 x 279 52 800 427 415 403 391 382 374 W 310 x 375 12 x 252 47 800 W 310 x 342 W 12 x 230 43700 W 310 x 313 W 12 x 210 39 900 W 310 x 283 W 12 x 190 36000 365 W 310 x 253 W 12 x 170 32 300 356 W 310 x 226 W 12 x 152 28 900 348 W 310 x 202 W 12 x 136 25 800 341 W 310 x 179 W 12 x 120 22 800 333 W 158 W 12 x 106 20 100 327 W 310 x 310 x 310 x 143 W 12 x 96 18200 323 129 W 12 x 87 16500 318 310 x 117 W 12 x 79 15000 314 310 x 107 W 12 x 72 13600 311 310 x 97 W 12 x 65 12300 308 310 x 86 W 12 x 58 11000 310 310 x 79 W 12 x 53 10000 306 W 310 x 74 W 12 x 9480 310 W 310 x 67 W 12 x 8530 306 W 310 x 60 W 12 x 7600 303 W 310 x 52 W 12 x 35 6670 318 310 x 45 12 x 30 W W 12 x 5670 313 4930 310 W 310 x 39 26 W 310 x 33 W 12 x 22 4180 313 309 W 310 x 28 W 12 x 19 3600 W 310 x 24 W 12 x 16 3040 306 W 310 x 21 W 12 x 14 2680 303 *For application refer to Notes in Table 1. W W W W W ?? W 333 www W 4.00m Designation 3333 50 W W 8885RNB 50 45 450 2.00m 1.50m Web Flange Distance Area Depth Thick-tw Width Thick- TKK? A d ness 2 bt ness tw tr mm² mm mm mm mm 45.10 22.55 340.0 mm mm mm mm 239 94 87 36 75.1 38 41.30 20.65 336.0 68.7 241 38.90 19.45 334.0 62.7 35 35.40 17.70 330.0 57.2 241 75 33 32.60 16.30 328.0 52.6 32 30 30.00 15.00 325.0 48.3 240 26.90 13.45 322.0 44.1 241 62 29 24.40 12.20 319.0 39.6 22.10 11.05 317.0 35.6 20.10 10.05 315.0 31.8 18.00 9.00 313.0 28.1 241 15.50 7.75 310.0 241 25.1 7.00 309.0 22.9 241 14.00 13.10 6.55 308.0 20.6 11.90 5.95 307.0 18.7 240 10.90 5.45 306.0 17.0 241 9.91 4.96 305.0 15.4 242 33 9.14 4.57 254.0 16.3 240 35 8.76 4.38 254.0 9.40 4.70 205.0 8.51 4.26 204.0 7.49 3.75 203.0 13.1 7.62 3.81 167.0 13.2 166.0 11.2 6.60 3.30 5.84 2.92 165.0 9.7 10.8 269 8.9 267 6.60 3.30 102.0 5.97 2.99 102.0 5.59 2.80 101.0 5.08 2.54 101.0 6.7 267 19 5.7 269 17 2964 2.00m 6555 8998 38 222********** 8?? ??? ?? ????????????? 241 240 *** *** 243 49 25 46 268 265 266 43 BD???IRIST?R 20000=== 27 32 26 25 38 37 35 21 14.6 242 32 20 16.3 240 36 14.6 242 239 32 24 20 ==99 Nom- Compact inal Section Mass Criteria X1 X? per br he Fy" Meter 2tr tw N N 10 mm 2 kg/m mm mm 2.3 5.5 - 88300 2.4 6.0 81400 2.7 6.3 75 800 2.9 7.0 - 69 600 3.1 7.6 64700 3.4 8.2 800 59 54 700 3.7 92 4.0 10.1 49 600 4.5 112 44900 5.0 12.3 40300 5.6 13.7 36100 6.2 15.9 32100 6.8 17.7 29 300 26800 7.5 18.9 8.2 20.7 24300 107 9.0 22.6 22300 97 9.9 24.9 20300 86 7.8 27.0 21 200 79 8.7 28.1 19400 4420 74 6.3 26.2 21900 2970 67 7.0 29.0 - 19800 4350 60 7.8 32.9 407 17800 6540 52 45 6.3 36.2 338 7.4 41.8 255 8.5 47.2 200 16700 9130 14400 16700 12500 29 200 39 33 28 4.7 41.8 255 5.7 46.2 207 75 49.4 179 8.8 54.3 152 14900 18200 13000 32800 11100 67 300 10002 104000 24 21 838388956 500 454 415 342 226 202 179 143 129 117 96 - - 11 285*8*8*** ! 13 1 N 10mm 10 mm 1690 1480 7920 163 494 7130 160 436 157 391 154 344 1300 6450 5780 1130 1010 5290 152 310 896 4790 150 277 787 4310 148 246 682 3830 596 145 215 3430 144 189 3050 142 166 520 445 2670 140 144 386 2360 139 125 348 2150 138 113 308 1940 137 100 275 1750 136 90.2 248 1590 135 81.2 222 1440 134 72.9 3090 199 1280 135 44.6 1160 133 39.9 177 165 145 1060 132 23.4 948 130 20.7 851 130 18.3 129 119 99.2 84.8 748 134 10.3 634 132 8.55 547 131 7.23 1.92 65.0 415 125 54.2 351 123 1.58 42.8 281 119 117 1.16 0.986 37.0 244 17 23 31 41 56 78 114 167 387 600 1230 1760 2480 3620 Elastic Properties SrI Axis X-X a la Axis Y-Y mm 10 mm S Plastic Modulus r Zx Zy 10 mm mm 10mm³ 10mm³ 9880 4490 2910 88.1 2600 86.9 2340 86.1 7900 8820 4000 3610 84.8 7000 3210 2080 1890 842 6330 2910 1700 83.3 5720 2620 1530 82.7 5100 2340 1350 81.6 4490 2060 1190 80.9 3980 1830 1050 80.2 3510 1610 920 79.5 3050 1400 806 78.9 2670 1220 731 78.8 2420 1110 649 77.8 2160 991 588 77.5 1950 893 531 77.3 1770 806 478 77.0 1590 725 351 63.7 1420 533 314 63.2 1280 478 228 49.7 1190 350 1060 310 203 49.3 180 49.1 941 275 123 39.3 841 189 103 38.8 708 158 87.6 38.3 609 134 37.6 21.4 480 31.0 20.9 406 23.0 19.5 329 19.5 19.2 287 59.6 49.1 36.8 31.2
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Support reactions: Md=0 Ra x 8 - (1/2) x 30 x 4 x ((4/3) + 4) - 20 x 2 + 16 x 1.5 = 0 Ra = 42 kN Rd = (1/2)x4x30 + 20 + 16 - 42
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