The assembly shown consists of an aluminum shell (Ea =

Chapter 2, Problem 2.132

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The assembly shown consists of an aluminum shell \(\left(E_{a}=\left.10.6 \times 10^{6} \mathrm{psi}, \alpha_{a}=12.9 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\) fully bonded to a steel core \(\left(E_{s}=29 \times 10^{6} \mathrm{psi}, \alpha_{s}=6.5 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\) and is unstressed. Determine (a) the largest allowable change in temperature if the stress in the aluminum shell is not to exceed 6 ksi, (b) the corresponding change in length of the assembly.

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