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Question 1 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 Critical Load (Pcr). (in kN) of the Column? Table below presents Universal Columns for dimensions and properties: Designation Depth of Flange Root Depth Gross About About yaxs Torsion Warping Designation Web Thickness Radius Section Between Area of Constant Constant Fanges Cross BU Section d 4 21, A $ S L mm 10mm 388 2 $ 10ma 10mm 10mm 125 310 UC158 16.5 2680 1230 310 UC158 BOT 690 137 13.8 16.5 329 2300 107 2390 20100 17500 15000 12400 78.9 782 775 137 1050 893 118 119 1980 118 16.5 96.8 16.5 223 1560 96.8 90.2 72.9 484 38.8 250 U895 140 1400 143 1230 575 713 250 UC895 72.9 140 9320 114 992 65.2 64.5 517 557 463 303 72.9 114 200 UC 59.5 61.3 656 20,4 195 200 UC 59.5 522 114 6660 512 570 264 166 522 114 5900 45.9 451 500 15.3 230 51.5 510 38.5 381 150 UC 37.2 89 4730 22.2 150 UC 372 310 7.01 5.62 139 12 39.6 30.8 30.0 3860 17.6 223 250 30.0 2980 226 166 184 651 3.98 80.2 36.6 211 100 UC 14.8 99 7.0 50 10.0 1990 3.18 65.6 744 41 114 22.9 352 245 34.9 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. m 321 315 308 260 210 206 P a 311 309 305 256 254 205 204 203 153 152 Thickness nm SCREE5824223 25.0 217 18.7 17.3 115 9.9 105 8.6 9.3 80 73 8.1 66 6.1 JEREERS #8882 277 277 277 277 225 181 181 181 139 139 139 830 L 12.7 201 233 28.0 215 262 19.5 22.7 24.8 21.0 16.6 5883839325595 5.91 6.80 710 8.64 784 8.90 634 10.7 6.71 2 10mm 2370 2050 1760 1450 1100 897 584 10 4 mn 139 137 136 134 112 897 891 88.2 68.4 675 - BERCEA8802252 478 378 306 174 151 91.0 734 -RENGASESOR 3810 2520 1630 928 1040 586 477 325 197 109 50.2 46.2