please answer all questions and give the correct solution.
Posted: Fri Jul 08, 2022 5:43 am
please answer all questions and give the correct solution.
As an engineer in a construction company, you must design a steel compression member with an effective length of 5 m loaded eccentrically at e = 200 mm, as shown in Figure 2. Due to financial constraints, you need to choose one of the wide-flange shapes according to the properties of rolled-steel shapes as listed in Appendix 1. Use E = 200 GPa and oy = 250 MPa. -200 mm- Figure 2 In your design proposal, clearly state the following: i) Evaluate the wide flange steel column that you are selected according to the American Institute of Steel Corporation (AISC) column design standard. [18 Marks] ii) Determine the largest load that it can safely support using the allowable stress method. [7 Marks] iii) You are utilising the interaction method to evaluate the maximum possible load P that the column can safely support if the allowable bending stress does not exceed 150 MPa. [7 Marks]
APPENDIX C Properties of Rolled-Steel Shapes (SI Units) Continued from page A18 PROPERTIES OF ROLLED-STEEL SHAPES W Shapes (Wide-Flange Shapes) Designation W310 X 143 107 74 60 52 44.5 Area Depth A, mm² d, mm 18200 310 13600 312 305 9420 310 205 7550 302 203 6650 318 167 312 166 5670 38.7 4940 310 165 32.7 4180 312 102 23.8 3040 305 101 W250 x 167 101 80 67 8580 58 7420 49.1 6260 247 44.8 5700 267 32.7 4190 259 28.4 3630 259 22.3 2850 254 W200 x 86 21200 290 12900 264 10200 257 254 257 204 252 11000 222 71 9100 216 59 7550 210 52 6650 206 46.1 5880 203 41.7 5320 205 35.9 4570 201 Width b, mm 264 257 203 202 148 146 102 102 Flange 209 206 205 204 203 166 165 Thick- ness , mm 22.9 17.0 16.3 13.1 13.2 11.2 10.8 6.73 31.8 19.6 9.65 5.84 6.60 5.59 15.6 15.7 13.5 11.0 13.0 9.14 10.0 6.86 Web Thick- 20.6 17.4 14.2 12.6 11.0 11.8 10.2 ness t., mm 14.0 10.9 9.40 7.49 7.62 6.60 19.2 11.9 9.4 8.89 8.00 7.37 7.62 6.10 6.35 5.84 13.0 10.2 9.14 7.87 7.24 7.24 6.22 S₂ 10 mm 10³ mm³ 347 248 163 128 119 99.1 84.9 64.9 42.9 298 164 126 103 87.0 71.2 70.8 49.1 40.1 28.7 Axis X-X 94.9 76.6 60.8 52.9 45.8 40.8 34.4 2150 1600 1050 844 747 633 547 416 280 2060 1240 983 805 690 574 531 380 308 226 852 708 582 511 451 398 342 mm 138 135 132 130 133 132 131 125 119 110 108 106 111 112 Ty 10 mm 10³ mm³ mm 728 531 228 180 122 8.45 102 81.2 23.4 18.4 10.2 7.20 1.94 1.17 118 98.2 113 55.8 111 42.9 22.2 18.7 15.2 6.95 108 4.75 105 1.79 100 1.20 Axis Y-Y 92.7 31.3 91.7 25.3 89.7 20.4 89.2 17.7 88.1 15.4 87.6 9.03 86.9 7.62 87.5 37.9 23.1 742 433 338 218 185 151 94.2 65.1 35.1 23.8 300 246 200 174 152 109 A19 92.3 78.5 77.2 49.8 49.3 39.1 38.6 38.4 21.5 19.6 68.1 65.8 65.0 51.1 50.3 49.3 34.8 33.8 22.2 20.6 52.8 51.8 51.6 51.3 41.1 40.9
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APPENDIX C Properties of Rolled-Steel Shapes (SI Units) Continued from page A18 PROPERTIES OF ROLLED-STEEL SHAPES W Shapes (Wide-Flange Shapes) Designation W310 X 143 107 74 60 52 44.5 Area Depth A, mm² d, mm 18200 310 13600 312 305 9420 310 205 7550 302 203 6650 318 167 312 166 5670 38.7 4940 310 165 32.7 4180 312 102 23.8 3040 305 101 W250 x 167 101 80 67 8580 58 7420 49.1 6260 247 44.8 5700 267 32.7 4190 259 28.4 3630 259 22.3 2850 254 W200 x 86 21200 290 12900 264 10200 257 254 257 204 252 11000 222 71 9100 216 59 7550 210 52 6650 206 46.1 5880 203 41.7 5320 205 35.9 4570 201 Width b, mm 264 257 203 202 148 146 102 102 Flange 209 206 205 204 203 166 165 Thick- ness , mm 22.9 17.0 16.3 13.1 13.2 11.2 10.8 6.73 31.8 19.6 9.65 5.84 6.60 5.59 15.6 15.7 13.5 11.0 13.0 9.14 10.0 6.86 Web Thick- 20.6 17.4 14.2 12.6 11.0 11.8 10.2 ness t., mm 14.0 10.9 9.40 7.49 7.62 6.60 19.2 11.9 9.4 8.89 8.00 7.37 7.62 6.10 6.35 5.84 13.0 10.2 9.14 7.87 7.24 7.24 6.22 S₂ 10 mm 10³ mm³ 347 248 163 128 119 99.1 84.9 64.9 42.9 298 164 126 103 87.0 71.2 70.8 49.1 40.1 28.7 Axis X-X 94.9 76.6 60.8 52.9 45.8 40.8 34.4 2150 1600 1050 844 747 633 547 416 280 2060 1240 983 805 690 574 531 380 308 226 852 708 582 511 451 398 342 mm 138 135 132 130 133 132 131 125 119 110 108 106 111 112 Ty 10 mm 10³ mm³ mm 728 531 228 180 122 8.45 102 81.2 23.4 18.4 10.2 7.20 1.94 1.17 118 98.2 113 55.8 111 42.9 22.2 18.7 15.2 6.95 108 4.75 105 1.79 100 1.20 Axis Y-Y 92.7 31.3 91.7 25.3 89.7 20.4 89.2 17.7 88.1 15.4 87.6 9.03 86.9 7.62 87.5 37.9 23.1 742 433 338 218 185 151 94.2 65.1 35.1 23.8 300 246 200 174 152 109 A19 92.3 78.5 77.2 49.8 49.3 39.1 38.6 38.4 21.5 19.6 68.1 65.8 65.0 51.1 50.3 49.3 34.8 33.8 22.2 20.6 52.8 51.8 51.6 51.3 41.1 40.9