The two cylindrical rod segments shown in the figure below $($Figure $1)$ are fixed to the rigid walls such that there is a gap of $0\mathrm{.}01$ in$.$ between them when $T_1=80F.$ Each rod has a diameter of $1\mathrm{.}2in.$ Take ${}_{al}=13\frac{{10}^{-6}}{}F,E_{al}=10({10}^3)ksi,({}_Y{)}_{al}=40$ksi, ${}_{cu}=9\mathrm{.}4\frac{{10}^{-6}}{}F,({}_Y{)}_{cu}=50$ksi, and $E_{cu}=15({10}^3)ksi.$

What larger temperature $T_2$ is required in order to just close the gap?

Express your answer to three significant figures.

Part B

Determine the magnitude of the average normal stress in each rod if $T_2=290F.$

Express your answer to three significant figures and include appropriate units.

Figure

$1$ of $1$