A 30-in. length of aluminum pipe of cross-sectional area

Chapter 11, Problem 11.11

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A 30-in. length of aluminum pipe of cross-sectional area \(1.85 \mathrm{in}^{2}\) is welded to a fixed support A and to a rigid cap B. The steel rod EF, of 0.75-in. diameter, is welded to cap B. Knowing that the modulus of elasticity is \(29 \times 10^{6} \mathrm{psi}\) for the steel and \(10.6 \times 10^{6} \mathrm{psi}\) for the aluminum, determine (a) the total strain energy of the system when P = 8 kips, (b) the corresponding strain-energy density of the pipe CD and in the rod EF.

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