A copper rod of 40 mm diameter is surrounded tightly by a cast iron t…

Previous year question for MECHANICS OF SOLIDS.

Question

A copper rod of 40 mm diameter is surrounded tightly by a cast iron tube of 80 mm external diameter, the ends being firmly fastened together. When put to a compressive load of 30 kN, what load will be shared by each ? Also determine the amount by which the compound bar shortens if it is 2 m long.

Take : $E_{C.I} = 175 \text{ GN/m}^2$, $E_C = 75 \text{ GN/m}^2$

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