The brass shell (ab = 11.6 x 10- /F) is fully bonded to

Chapter 2, Problem 2.49

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QUESTION:

The brass shell \(\left(\alpha_{b}=11.6 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\) is fully bonded to the steel core \(\left(\alpha_{s}=6.5 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\). Determine the largest allowable increase in temperature if the stress in the steel core is not to exceed 8 ksi.

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QUESTION:

The brass shell \(\left(\alpha_{b}=11.6 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\) is fully bonded to the steel core \(\left(\alpha_{s}=6.5 \times 10^{-6} /{ }^{\circ} \mathrm{F}\right)\). Determine the largest allowable increase in temperature if the stress in the steel core is not to exceed 8 ksi.

ANSWER:

Step 1 of 4

Let  axial force developed in the steel core

For equilibrium with zero total force, the compressive force in the brass shell is

Strain on steel core,    

Strain on Brass,

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