Two steel bars and $\{$:$a_S=11\mathrm{.}7\frac{{10}^{-6}}{}C)$ are used to reinforce a brass bar

$105$GPa and $a_b=20\mathrm{.}9\frac{{10}^{-6}}{}C).$ When the steel bars were fabricated, the distance

between the centers of the holes that were to fit on the pins was made $0\mathrm{.}5mm$ smaller than

the $2m$ needed. The steel bars were then placed in an oven to increase their length so that

they would just fit on the pins. Following fabrication, the temperature in the steel bars

dropped back to room temperature. Determine the maximum load $P$ that may be applied to

the brass bar if the allowable stress in the steel bars is $29\mathrm{.}5$MPa and the allowable stress in

the brass bar is $25$MPa.