The motor delivers 40 hp to the 304 stainless-steel shaft while it rotates at 20 Hz. The shaft is supported on smooth bearings at A and B, which allow free rotation of the shaft. The gears C and D fixed to the shaft remove 25 hp and 15 hp, respectively. Determine the diameter of the shaft to the nearest 1/8 in. if the allowable shear stress is τ_allow = 8 ksi and the allowable angle of twist of C with respect to D is 0.20° .

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A C D. 10 in. 8 in. 5 6 in. B