Answer Happy

Part F
OneSteel Section Type F = 460UB67.1
Deflection limit, v/L = 1/600
Universal Beams Table 13 Universal Beams - Dimensions and Properties Designation Depth of Flange Depth Web Thickness Root Radius Section Between Flanges Width Thickness d b₁ t t₂ 4 d₁ kg/m ww mm mm mm mm mm mm 610 UB 125 612 229 19.6 11.9 14.0 572 113 607 228 11.2 17.3 14.0 572 our 240 101 602 228 14.8 10.6 14.0 572 530 UB 92.4 533 209 15.6 10.2 14.0 502 82.0 528 209 13.2 9.6 14.0 502 460 UB 82.1 460 191 16.0 9.9 11.4 428 74.6 457 190 14.5 11.4 428 67.1 454 190 12.7 11.4 428 - 410 UB 59.7 406 178 12.8 11.4 381 53.7 403 178 10.9 11.4 381 360 UB 56.7 359 172 13.0 11.4 333 50.7 356 171 11.5 11.4 333 44.7 352 171 9.7 333 310 UB 46.2 307 166 11.8 11.4 284 TLA 165 294 40.4 304 165 10.2 11.4 284 320 32.0 298 149 8.0 13.0 282 250 UB 37.3 256 146 10.9 8.9 234 31.4 252 146 8.6 8.9 0.7 234 25.7 248 124 8.0 12.0 232 200 UB 29.8 207 134 201 9.6 8.9 0.9 188 25.4 203 133 7.8 8.9 188 22.3 202 133 7.0 8.9 188 18.2 198 99 7.0 11.0 184 180 UB 22.2 179 90 10.0 8.9 159 60 18.1 175 90 8.0 8.9 159 16.1 173 90 7.0 8.9 159 150 UB 18.0 155 75 9.5 8.0 136 14.0 150 75 7.0 8.0 136 9.1 8.5 7.8 7.6 8.0 6.9 6.7 6.1 5.5 6.4 6.1 5.0 6.3 5.8 5.0 4.5 6.0 5.0 4.5 6.0 5.0 d. t 48.1 51.1 54.0 49.2 52.3 43.3 47.1 50.4 48.8 50.1 41.6 45.6 48.2 42.3 AGE 46.5 51.3 36.6 38.4 38.4 46.4 40.4 29.8 27.0 32.3 37.5 40.9 265 26.5 31.8 35.3 22.7 27.2 (b,t) 2t, 5.54 6.27 7.34 6.37 7.55 5.66 6.24 7.15 6.65 7.82 6.31 732 046 8.46 6.75 770 7.79 8.97 6.40 8.13 7.44 6.65 0.09 8.15 9.14 6.75 4.20 5.31 6.11 3.63 5.00 Gross Area of Cross Section A₁ www mm² 16000 14500 13000 11800 10500 10500 9520 8580 7640 6890 7240 6470 5720 5930 5210 4080 4080 4750 4010 3270 3820 3020 3230 2870 2320 2820 2300 2040 2300 1780 Į 10 mm 986 875 761 554 477 372 335 296 216 188 161 ... 142 121 100 DC A 86.4 63.2 55.7 44.5 35.4 33.4 29.1 23.6 21.0 15.8 15 2 15.3 121 12.1 10.6 9.05 6.66 About x-axis Z S₁ 10³mm² 10/mm³ 3230 3680 3600 2880 3290 verv 2530 2900 2080 2370 1810 2070 1610 1840 1460 1660 1300 1480 1060 1200 933 1060 899 798 689 654 569 424 435 354 285 203 281 201 232 208 160 171 171 139 123 117 88.8 1010 897 777 729 633 475 486 397 319 316 260 231 180 195 157 138 135 102 r. mm 249 246 242 217 213 188 188 186 168 165 149 148 146 130 129 124 124 108 105 109 104 IVT 87.3 85.4 85.5 82.6 73.6 72.6 72.0 62.8 61.1 1, 10 mm¹ 39.3 34.3 29.3 23.8 20.1 18.6 16.6 14.5 12.1 10.3 11.0 9.60 8.10 0.01 9.01 765 7.65 4.42 5.66 4.47 2.55 3.86 3.00 3.06 2.75 1.14 1.22 0.975 0.853 0.672 0.495 About y-axis 2, 10³mm 343 300 257 228 193 195 175 153 135 115 128 112 94.7 109 109 92.7 59.3 77.5 61.2 41.1 14:1 57.5 46.1 41.3 23.0 271 27.1 21.7 19.0 17.9 13.2 S₁ 10³mm³ 536 469 402 355 301 303 271 238 209 179 198 173 146 166 142 91.8 119 94.2 63.6 88.4 00.4 70.9 63.4 35.7 42.3 33.7 29.4 28.2 20.8 E 4. mm 49.6 48.7 47.5 44.9 43.8 42.2 41.8 41.2 39.7 38.6 39.0 38.5 37.6 39.0 38.3 32.9 34.5 33.4 27.9 31.8 30.8 31.0 22.1 20.8 20.6 20.4 17.1 16.6 Torsion Warping Designation Constant Constant J 10³mm* 1560 L 10³mm 3450 610 UB 125 1140 2980 113 790 2530 101 775 1590 530 UB 92.4 526 1330 82.0 701 919 460 UB 82.1 530 815 74.6 378 708 67.1 337 467 410 UB 59.7 234 394 53.7 338 330 360 UB 56.7 241 284 50.7 47 161 237 44.7 233 197 310 UB 46.2 145 157 165 40.4 86.5 92.9 32.0 158 85.2 250 UB 37.3 89.3 65.9 31.4 JIN 67.4 01.4 36.7 25.7 30.1 105 199 37.6 200 UB 29.8 62.7 29.2 25.4 45.0 26.0 22.3 38.6 10.4 18.2 81.6 8.71 180 UB 22.2 44.8 18.1 31.5 16.1 60.5 150 UB 18.0 28.1 14.0 6.80 5.88 3.56 2.53

Part F- There are 2 questions in this part There is a cantilever beam with a vertical uniformly distributed load w along its entire length (free end is at the right). Refer to your email from Tim which defined the OneSteel Section Type F and a deflection limit. The length of this beam is L, such that the span to depth ratio (L/d) = 10, based on your OneSteel beam depth. You should use E = 200 GPa. The beam is loaded so that it bends about the x axis. Ignore self weight. Before attempting this question, draw a diagram of this beam and the loading (you do not need to submit the diagram, but it will help you). You may use the following deflection equation: v = (6L² wz² 24 EI 4Lz+z²). Question 15 2 pts Question F1 What is the applied UDL (in kN/m) when the maximum deflection equals the specified deflection limit?

> Question 16 2 pts Question F2 For the value of load just calculated, what is the value of the deflection (in mm) at z = 3L/4 along the beam (measured from the support)?