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A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an initial stress

A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an initial stress of 2000 psi in the bronze. For the steel bolt, A = 0.75 in, E = 29 x 106 psi, and a = 6.5 x 106 in/(in-F). For the bronze sleeve, A = 1.5 in, E = 12 x 106 psi and a = 10.5 x 10-6 in/(in-F). After a temperature rise of 100F, find the final stress in each material.

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