A $0\mathrm{.}02-$in gap exists at room temperature for the structure shown below. Determine $($a$)$ the

compressive force in member AB and BC after a temperature rise of $180F$; $($b$)$ the

corresponding change in length of member AB $.$

Bronze

$A=2\mathrm{.}4i{n}^2$

$E=15{10}^6$

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

Aluminum

$A=2\mathrm{.}8$ in ${?}^2$

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

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