Solve Prob. 2.47, assuming that the core is made of steel

Chapter 2, Problem 2.48

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QUESTION:

Solve Prob. 2.47, assuming that the core is made of steel \(\left(E_{s}=200 \mathrm{GPa}, \alpha_{s}=11.7 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right)\) instead of brass.

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QUESTION:

Solve Prob. 2.47, assuming that the core is made of steel \(\left(E_{s}=200 \mathrm{GPa}, \alpha_{s}=11.7 \times 10^{-6} /{ }^{\circ} \mathrm{C}\right)\) instead of brass.

ANSWER:

Step 1 of 5

Aluminum shell:          

Let L be the length of the assembly.

For calculating Free thermal expansion,change in temperature is

Thermal expansion of Steel core      

Thermal expansion of Aluminum shell      

Net expansion of shell with respect to the core:

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