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A composite shaft is made by slipping a bronze tube of 3-in. outer diameter and 2-in. inner diameter over a solid steel shaft of

A composite shaft is made by slipping a bronze tube of 3-in. outer diameter and 2-in. inner diameter over a solid steel shaft of the same length and 2-in. diameter. The two components are then fastened rigidly together at their ends. What is the largest torque that can be carried by the composite shaft if the working shear stresses are 10 ksi for bronze and 14 ksi for the steel? For bronze, G = 6 x 106 psi, and for steel, G = 12 x 106 psi.

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