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Find the angle of rotation of the free end of the shaft the

Question: The solid compound shaft, made of three di¤erent materials, carries the two torques shown.

(a) Calculate the maximum shear stress in each material.

(b) Find the angle of rotation of the free end of the shaft. The shear moduli are 28 GPa for aluminum, 83 GPa for steel, and 35 GPa for bronze.

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