Determine the maximum deflection in the beam subjected to following loading. The cross-section is given by American Stan
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Determine the maximum deflection in the beam subjected to following loading. The cross-section is given by American Stan
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Determine the maximum deflection in the beam subjected to following loading. The cross-section is given by American Standard Channel (p. 810). Make a choice of the material, as well as (nonzero) values of w, and Me Determine the maximum deflection. Does it occur in the middle cross-section? Note: don't forget to depict FBD. Write equations to determine reactions. Use singularity functions, not the superposition principle. Please do not use SKYCIV software.
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810 APPENDU 3 GEOMETRIC PROPERTIES OF STRUCTURAL SHARES -- American Standard Channels or C Shapes Sl Units Flange - axis -yaxis width bi thickness ti S 1 S 10 mm 10 mm mm mm mm 10 mm 10 mm mm 944 133 138 143 864 80.5 774 74.7 77.0 73,3 16.50 16.50 16.50 12.70 12.70 12.70 11.10 11.10 11.10 168 145 131 67.4 59.9 53,7 42.9 380 Web Area Depth thickness Designation A d 1 mm x kg/ mmm? mm mm C380 X 74 9480 381.0 18.20 C380 X 60 7610 381.0 13.20 C380 X 50 6430 3810 10.20 C310 X 45 5690 305.0 13.00 C310 X 37 4 740 305.0 9.83 C310 X 31 3930 3050 7.16 C250 x 45 5 600 2540 17.10 C250 X 37 4 740 2540 13.40 C250 x 30 3 790 254,0 9.63 C250 x 23 2 900 254.0 6.10 C230 X 30 3790 229,0 11.40 C230 X 22 2 850 229.0 7.24 C230 x 20 2 540 229,0 5.92 C200 X 28 3 550 203.0 12.40 C200 x 20 2 610 2030 7.70 C200 X 17 2 180 203.0 5.59 CI80 X 22 2 790 178.0 10,00 CIBO X 18 2 320 178,0 9 7.98 C180 X 15 1 850 178,0 5.33 C150 X 19 2470 1520 11.10 C150 X 16 1 990 1520 7.98 CISO X 12 1 550 152.0 5.08 C130 X 13 1 700 127.0 8.25 C130 X 10 1 270 127.0 4.83 C100 X 11 1 370 1020 8.15 C100 X 8 1 030 1020 4.67 C75 X 9 1 140 76,2 9.04 CW5 X 7 948 96.2 6,55 075 x 6 781 76.2 4.32 66,0 67.3 63.1 618 04.2 59.5 574 584 35.7 53.1 54.8 51.7 48.8 479 44,5 10.50 10.50 10.50 9.90 9.90 9.00 0.30 9.30 9.30 8.70 8.70 8.70 8.10 8.10 7.50 7.50 6.90 6.90 6.00 28.1 25,3 21.2 100 18.3 150 13.6 11.3 10.1 8.87 7.24 6.33 5.45 3.70 3.12 1.91 1.60 0.862 0.770 0.691 882 761 688 442 393 352 338 299 258 AB 221 221 183 174 180 148 134 127 113 99.7 95,3 83,3 71.7 583 49.1 37.5 314 22.6 20.2 18.1 109 112 117 86.8 89.5 93.0 984 81.7 46.2 88.5 718 75,8 79,0 63.6 66,0 60.2 54.1 564 59.3 46.7 49.6 37.3 394 27.5 28.5 29.8 4.58 3.84 3.38 2.14 1.86 1.61 1.61 1.40 1.17 0.949 1.01 0.803 0.733 0.824 0.637 0.549 0.574 0.487 0.403 0437 0.360 0.28 0.263 0.199 0.180 0.133 0.127 0.103 0.082 61.8 55.1 50.9 33.8 30.9 283 27.1 24.3 21.6 19.0 19.2 16.7 15.8 16,5 14.0 12.8 12.8 11.5 10.2 10.5 9.22 8.04 7:35 6.18 5.62 22.0 22.5 22.9 194 19.8 20.2 17.0 17.2 176 18.1 163 16,8 w 17.0 15.2 15.6 15.9 143 143 w 14.8 133 13.3 13.6 124 125 115 11.4 106 10.4 102 40.2 40.5 380 35.8 4.19 3.83 332