Draw the shear and moment diagrams for the shaft, and determine its required diameter to the nearest \(\frac{1}{4}\) in. if \(\sigma_{\text {allow }}=30 \mathrm{ksi}\) and \(\tau_{\text {allow }}=15 \mathrm{ksi}\). The journal bearings at \(A\) and \(C\) exert only vertical reactions on the shaft. Take \(P=12\) kip.

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A -2 ft- -1 ft- -1 ft B C P 3 kip