1. DEFINITION An $100×11.5 'T' column (shown below in Figure 1) under a compressional load of 60kN is to be investigated

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1 Definition An 100 11 5 T Column Shown Below In Figure 1 Under A Compressional Load Of 60kn Is To Be Investigated 1 (40.46 KiB) Viewed 16 times

1 Definition An 100 11 5 T Column Shown Below In Figure 1 Under A Compressional Load Of 60kn Is To Be Investigated 2 (11.89 KiB) Viewed 16 times

1 Definition An 100 11 5 T Column Shown Below In Figure 1 Under A Compressional Load Of 60kn Is To Be Investigated 3 (64.46 KiB) Viewed 16 times

1. DEFINITION An $100×11.5 'T' column (shown below in Figure 1) under a compressional load of 60kN is to be investigated in this homework. The problem is to choose a suitable material for this column. 2. GIVEN The column is fixed at the two ends with pins and is loaded with a uniform compressive load of P = 60 kN (see Figure 1). The links design specifications require a minimum factor of safety of 2.0. 3. ASSUMPTIONS The dimensions are given as follows: A=1452mm² k = 41.6mm k, = 14.75mm L = 2000mm 4. PROBLEM For this homework, you are expected to choose a suitable ductile material that will satisfy the above stated design requirements (FS 2.0 for all types of failure). • Perform an analytic design analysis and justify your design for the chosen material (7 points) • Bonus: Perform the same analysis using the finite element method and justify your result. You may use the SolidWorks Simulation software available on the BAU MS Azure system. Hint: You may use the built-in beam elements in SolidWorks for meshing, 5 pts.).
B Figure 1. The geometry of the column.
Appendix A: S-Shape Dimensions (American Standard Shapes) for I-Beams S Shapes (American Standard Shapes) Flange Web Axis X-X Axis Y-Y Thick- Thick- Area Depth ness ness 1, " 4 S 10 mm 5, Designation A, mm d, mm 10 mm mm 10 mm mm S610 x 149 610 22.1 19.0 995 2.29 19.90 216 32.3 18970 17100 610 15160 610 22.1 15.8 937 234 18.69 207 33.0 22.1 12.7 878 241 17.61 197.9 34.0 $510 x 141 23.3 20.3 670 193.0 20.00 226, 33.8 18000 508 16130 508 127 23.3 16.6 633 197.9 19.23 215. 34.5 508 20.1 16.3 533 193.0 12.32 152.1 29.5 112 97.3 14200 12390 508 20.1 12.7 491 199.1 11.40 1434 30.2 $460 x 104 17.6 18.1 385 170.4 10.03 126.2 27.4 13290 457 10300 457 17.6 11.7 335 179.6 8.68 113.9 29.0 $380 x 74 9480 381 15.8 14.0 202 146.1 6.53 91.3 26.2 64 8130 381 15.8 10.4 156.1 977 151.1 5.99 85.0 27.2 $310 x 74 9480 305 16.8 17.4 127.0 533 115.6 6.53 94.0 26.2 7740 305 16.8 11.7 113.2 742 121.2 3.66 85.1 26.9 6640 305 13.8 10.9 95.3 625 119.9 4.11 63.7 94.9 6032 305 13.8 8.9 90.7 595 3.90 61.4 25.4 $250 x 52 66-40 254 12.5 15.1 61.2 482 96.0 3.45 55.2 22.9 4806 254 12.5 7.9 51.6 406 103.4 2.83 48.0 24.2 $200 x 34 203 10.8 4368 27.0 112 266 75.7 1.794 33.8 20.3 3484 203 10.8 6.99 24.0 236 528 1.583 30.4 21.1 $180 x 30 3794 178 10.0 11.4 17.65 198.3 68.3 1.319 27.2 18.64 22.8 2890 178 10.0 6.4 13.28 171.7 72.6 1.099 23.9 19.45 $150 x 25.7 3271 152 9.1 11.8 10.95 144.1 57.9 0.961 21.4 17.15 18.6 2362 9.1 152 9.20 5.8 121.1 62.2 0.758 18.05 17.91 $130 x 220 2800 127 8.3 12.5 6.33 99.7 47.5 0.895 16.75 15.75 15 1884 127 8.3 5.3 3.12 80.6 52.1 0.508 13.37 16.33 $100 x 14.1 1800 102 7.4 8.3 2.83 55.5 39.6 0.376 10.74 14.45 11.5 1452 74 102 4.8 2.53 49.6 41.6 0.318 14.75 9.49 $75 x 11.2 1428 6.6 76 8.9 1.22 32.1 29.2 0.244 7.75 13.11 8.5 1077 76 6.6 4.3 1.05 27.6 31.3 0.189 6.41 13.26 tAn American Standard Beam is designated by the letter S followed by the nominal depth in millimeters and the mass in kilograme per meter. 134 118.9 814 60.7 52 47.3 37.8 27.4 Width *8 ** ** *8 ** 33 ****** **** **** ***** mm 162 152 143 139 133 129 127 126 118 106 102 mm mm S₁ 10¹ mm² 3260 3070 2880 26-40 2490 2100 1933 1685 1466 1060 709