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

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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 1 (503.04 KiB) Viewed 29 times

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 About x-axis About y-axis Web Thickness Root Radius Depth Between Flanges Section Gross Area of Cross Torsion Warping Designation Constant Constant Width Thickness d. (b,t) d D t L 1₁ 4 L 21 L Section A mm² 20100 S 10/mm³ 10mm² kg/m mm 10mm* mm mm mm mm mm mm mim 10 mm 10mm 388 10 mm 2860 310 UC 158 327 311 25.0 15.7 16.5 277 17.7 5.91 2370 139 125 1230 78.9 310 UC 158 3810 137 321 309 21.7 13.8 16.5 277 201 6.80 17500 2390 329 2050 137 107 1050 78.2 2520 137 307 315 18.7 11.9 118 277 16.5 23.3 7.89 15000 277 1760 136 90.2 893 77.5 1980 1630 118 96.8 305 15.4 9.9 308 16.5 277 28.0 9.58 12400 223 1450 134 72.9 725 76.7 928 1560 96.8 260 256 250 UC 89.5 17.3 10.5 14.0 225 215 7.10 11400 143 1100 112 48.4 575 65.2 1040 713 250 UC 89.5 254 72.9 254 14.2 14.0 8.6 225 262 8.64 9320 114 897 557 111 38.8 586 463 64.5 72.9 210 205 200 UC 59.5 14.2 9.3 11.4 181 195 6.89 7620 61.3 584 89.7 204 195 303 51.7 477 200 UC 59.5 52.2 204 206 12.5 177 8.0 11.4 181 7.84 22.7 6660 52.8 52.2 891 512 264 51.5 166 325 203 110 7.3 203 11.4 181 46.2 142 24.8 5900 8.90 15.3 88.2 45.9 451 151 230 46.2 510 228 154 162 11.5 8.1 8.9 139 173 6.34 22.2 4730 150 UC 372 274 68.4 7.01 91.0 139 38.5 197 39.6 150 UC 37.2 30.0 158 153 94 6.6 89 139 21.0 7.79 3860 17.6 223 67.5 5.62 73.4 112 38.1 109 30.8 30.0 152 23.4 68 152 6.1 8.9 139 22.8 10.7 2980 12.6 166 65.1 52.4 3.98 80.2 36.6 211 50.2 23.4 99 70 100 UC 14.8 50 97 10.0 830 229 16.6 671 1890 3.18 65.6 74.4 114 411 35.2 34.9 24.5 2.30 100 UC 14.8 For 150UC37.2 Column Section, lx = 22.2 x 106 mm ly = 7.01 x 106 *Both questions are the identical, Q.1 just asks for critical Load, Q3 asks for actual stress* 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. mm 10/mm² 2680 2300 1960 1600 1230 992 656 570 500 310 250 184 Z 10mm² 807 691 588 478 378 306 199 174 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 Actual Stress (gc) (in MPa) on the Column? Table below presents Universal Columns for dimensions and properties: Designation Depth of Flange About axis About yaxis Warping Designation Root Depth Thickness Radius Between Flanges Gross Area of Torsion Constant Constant Section Cross Width Thickness (1) Section d b 4 4, 24, L 4 L 2 S 4 J L 2, 10mm 10mm² kg/m mn mm mm mm mm mm mm 10mm² 10mm 10mm² mm 10mm 10mm 10mm 2680 310 UC 158 327 311 25.0 15.7 16.5 277 5.91 20100 388 2370 139 125 807 1230 3810 2860 310 UC 158 137 321 309 217 13.8 16.5 277 6.80 17500 2050 2300 107 691 1050 2520 2390 137 315 187 119 16.5 277 7.89 15000 1760 90.2 589 893 1630 1980 118 96.8 308 15.4 99 16.5 277 9.58 12400 1450 72.9 725 1560 96.8 250 UC 89.5 260 17.3 10.5 14.0 225 7.30 11400 1100 1230 48.4 378 575 1040 713 250 UC 89.5 72.9 254 142 8.6 14.0 225 8.64 9320 897 992 38.8 306 463 586 557 72.9 200 UC 59.5 210 142 9.3 114 181 6.89 61.3 584 656 897 204 303 477 195 200 UC 59.5 522 206 204 12.5 8.0 11.4 181 7.84 6660 52.8 512 570 891 177 174 264 325 166 52.2 46.2 203 203 TLO 7.3 114 181 8.90 5900 45.9 451 500 882 15.3 230 728 142 46.2 150 UC 372 162 154 11.5 8.1 8.9 139 6.34 4730 222 274 310 68.4 701 910 139 197 39.6 150 UC 37.2 30.0 158 153 94 6.6 8.9 139 779 3860 17.6 223 250 675 5.62 734 112 381 109 30.8 30.0 23.4 152 152 6.8 6.1 8.9 139 10.7 126 166 184 3.98 52.4 80.2 502 201 23.4 100 UC 14.8 97 99 7.0 5.0 10.0 83.0 1890 318 65.6 744 411 114 22.9 35.2 245 349 2.30 100 UC 14.8 For 150UC37.2 Column Section, lx = 22.2 x 106 mm 4 ly = 7.01 x 106 mm 4 rx = 68.4 mm ry = 38.5 mm Ag = 4730 mm IMPORTANT INSTRUCTIONS: Put your answer in the text box up to two decimal places. Only numerical values are accepted. 2 d. L 23.3 28.0 262 22.7 248 210 22.8 16.6