A uniform steel rod of cross-sectional area A is attached

Chapter 2, Problem 2.116

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A uniform steel rod of cross-sectional area A is attached to rigid supports and is unstressed at a temperature of \(45^{\circ} \mathrm{F}\). The steel is assumed to be elastoplastic with \(\sigma_{Y}=36 \mathrm{ksi}\) and \(E=29 \times 10^{6} \mathrm{psi}\). Knowing that \(\alpha=6.5 \times 10^{-6} /{ }^{\circ} \mathrm{F},\), determine the stress in the bar (a) when the temperature is raised to \(320^{\circ} \mathrm{F}\), (b) after the temperature has returned to \(45^{\circ} \mathrm{F}\).

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