Draw the shear and moment diagrams for the shaft, and determine its required diameter to the nearest \(\frac{1}{4} \mathrm{in}\). if \(\sigma_{\text {allow }}=7 \mathrm{ksi}\) and \(\tau_{\text {allow }}=3 \mathrm{ksi}\). The bearings at \(A\) and \(D\) exert only vertical reactions on the shaft.The loading is applied to the pulleys at \(B, C\), and \(E\).

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14 in. 20 in. 15 in. 12 in.- A B 80 lb 110 lb D 35 lb