The two pulleys fixed to the shaft are loaded as shown. If the journal bearings at \(A\) and \(B\) exert only vertical forces on the shaft, determine the required diameter of the shaft to the nearest \(\frac{1}{8}\) in. using the maximum distortion energy theory. \(\sigma_{\text {allow }}=67 \mathrm{ksi}\).

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-1 ft- D 300 lb 0.5 ft -3 ft- 120 lb 0.5 ft -2 ft- B 300 lb 120 lb