$2\mathrm{.}49$ The aluminum shell is fully bonded to the brass core, and the assembly is unstressed at a temperature of $78F.$

Considering only axial deformations, determine the stress when the temperature reaches $180F$ in $($a$)$ the brass

core, $($b$)$ the aluminum shell.

Brass core

$E=15{10}^6$

$=11\mathrm{.}6\frac{{10}^{-6}}{}F$

Aluminum shell

$E=10\mathrm{.}6{10}^6$

$=12\mathrm{.}9\frac{{10}^{-6}}{}F$

PLEASE ANSWER! show all steps