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Question 4 1.5 pts A 150UC37.2 structural steel (E = 200,000 MPa) column is to be used as a 3 meter long column. The column is having fixed-support at both the ends (k = 0.7). A vertical load of 2000 KN is applied on the column. The column is constrained from failure in the weak direction. What is the Factor of Safety (FOS = ocr/oc) of the Column? Table below presents Universal Columns for dimensions and properties: Designation Depth of Flange Root About About Gross Area of Warping Designation Section Thickness Radius Between Torsion Constant Constant Thickness Section A 4 4 4 2 S L kg/m mm 10mm 10 mm 10 mm mm 10 mm 310 UC 158 311 25.0 15.7 16.5 388 3810 2860 310 UC 158 20100 17500 2370 2680 329 2050 2300 137 321 309 217 13.8 16.5 2390 137 782 2520 1630 118 315 307 18.7 16.5 15000 277 1760 1980 118 96.8 308 305 15.4 16.5 1450 1600 928 1560 968 250U85 260 256 17.3 140 1400 143 100 65.2 1040 713 250 U895 72.9 254 254 14.2 14.0 9320 114 897 586 72.9 200 UC 59.5 210 205 142 11.4 613 584 477 195 200 UC 59.5 522 206 204 125 11.4 52.8 512 325 166 522 462 203 203 110 114 5900 45.9 451 228 462 150 UC372 162 154 8.9 4730 222 274 39.6 150 UC 372 30.0 158 153 94 8.9 3860 223 112 109 30.8 30.0 234 152 152 2980 12.6 166 80.2 36.6 50.2 211 234 100 UC 14.8 97 99 7.0 100 1990 318 65.6 22.9 35.2 245 2.30 100 UC 14.8 For 150UC37.2 Column Section, lx = 22.2 x 106 mm4 ly = 7.01 x 106 mm 4 rx = 68.4 mm ry = 38.5 mm Ag = 4730 mm² IMPORTANT INSTRUCTIONS: Put your answer in the text box up to two decimal places. Only numerical values are accepted. - Width D SeceaseRRETE 9.9 105 8.6 80 6.6 5.0 -- }}} ~86666*** * -8 6 8 2 ============ Flanges 21 5.91 6.80 7.89 9.58 710 8.64 7.84 8.90 634 7.79 10.7 992 656 STO 500 310 4 $₁ mn 10mm 10mm 10mm 139 80T 1230 137 1050 136 893 134 725 76.7 112 575 463 897 303 264 88.2 230 68.4 139 67.5 5.62 734 651 -*********** ~BERCER==2252 107 90.2 72.9 484 38.8 20.4 15.3 7.01 3.98 114 588 478 378 306 199 174 151 imê酸形丶做出聂油斯为丛出 91.0 789 775 645 SLT 510 38.5 38.1