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A structural steel beam is simply supported and has a span length of 10m. The beam has multiple weights of 80kg, 50kg, 70kg and 75kg, hanging at distances of 2.5m, 3.5m, 6m and 8m respectively from the left supporting point. The beam also has uniformly distributed load from 5m to 9m of the value of 80kg/m. You are to undertake some mathematical analysis on this beam to determine its weakest points with the maximum stress and deflection. For the purposes of this analysis you should consider that the beam is static with the weights are hanging from it. Also for your initial calculations consider that the beam is made from a mild steel metal cross section, as shown in Figure 1. Take the Density of this metal as 7850kg/m3 and the Young’s modulus as 200GPa.
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