Please answer all question and give a correct solution
You are working as a project engineer at a construction site in the Pekan area, Pahang. Before beginning construction, the beam needed to support the bridge must be identified as a simply supported beam. Prior to beginning construction, the support beam for the bridge must be identified, and management has decided to use a simply supported beam with a total length of 8 m starting from point A to point B, two concentrated loads of 20 and 30 kN are applied to the beam at a distance of 2 m and 3 m from point A, respectively. In addition to that, an external moment of 15 kN-m is applied at 5 m from point A. You assume that the beam AB cross-section is considered to be wide flange shaped of W250×167, E = 200 GPa. b) c) Sketch the structural model of the beam, including boundary and initial conditions. [5 Marks] You are utilising the singularity functions as a method to derive the mathematical equations of the slope and deflection of the elastic curve for a simply supported beam AB. Evaluate the maximum deflection location and magnitude of the beam AB. [20 Marks] [8 Marks] [CO3, PO3, C5]
APPENDIX C Properties of Rolled-Steel Shapes (SI Units) Continued from page A18 W Shapes [Wide-Flange W310 x 143 60 52 44.5 Area Designation A, mm² d, mm 38,7 32.7 23,8 18200 323 107 13600 312 9420 74 7550 302 6650 318 5670 312 W250 x 167 101 PROPERTIES OF ROLLED-STEEL SHAPES 4940 4180 3040 21200 12900 W200 x 86 Shapes) 44.8 5700 32.7 4190 28.4 3630 22.3 2850 1***************** ******************** Thick- Depth Width ness b, mm f, mm 310 310 312 80 10200 257 67 8580 58 7420 49.1 6260 305 257 252 11000 71 9100 216 59 7550 52 6600 46.1 5880 203 41.7 5320 35.9 4570 205 264 254 204 APPENDIX 1 203 Flange 102 22.9 17.0 16.3 13.1 13.2 11.2 9.65 10,8 6.73 31.8 19.6 15.6 15.7 13.5 11.0 13.0 9.14 10.0 6.86 20.6 17.4 14.2 12.6 11.0 11.8 10.2 Web Thick- ness mm 14.0 10.9 9.40 163 7.49 128 119 7.62 6.60 5.84 6.60 5.59 19.2 11.9 9.4 8.89 8.00 7.37 7.62 6.10 6.35 5.84 13.0 10.2 I 10 mm 9.14 7.87 7.24 7.24 6.992 347 248 99.1 84.9 64.9 42.9 298 164 126 103 87.0 71.2 70.8 49.1 40.1 28.7 94.9 76.6 60.8 52.9 45.8 40.8 34.4 Axis X-X Ta S₁ 10³ mm² mm 2150 1600 1050 844 747 633 547 416 280 2060 1240 983 805 600 574 531 380 308 226 852 708 582 511 451 398 342 138 135 81.2 132 23.4 130 18.4 133 10,2 132 131 125 119 10 mm 10 mm 112 798 108 105 100 118 98.2 113 55.8 88.1 87.6 86.9 1.94 1.17 111 42.9 110 22.2 106 18.7 106 15.2 111 Axis Y-Y 6.95 4.75 1.79 1.20 92.7 31.3 91.7 25.3 89.7 20.4 89.2 17.7 15.4 8.45 102 uuo西西医丝| 7.20 87.5 9.03 7.62 531 228 180 122 37.9 23.1 742 433 338 218 185 151 94.2 65.1 35.1 23.8 300 246 200 174 152 109 A19 fy mm 78.5 77.2 49.8 49.3 39.1 38.6 38.4 21.5 19.6 68.1 65.8 65.0 51.1 50.3 49.3 34.8 33.8 22.2 20.6 53.3 52.8 51.8 51.6 51.3 41.1 40.9
Please answer all question and give a correct solution
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