Rigid bar ABC is supported by axial member $(1),$ which has a cross$-$sectional area of $450m{m}^2,$ an elastic modulus of $E=72$GPa,

and a coefficient of thermal expansion of $=23\frac{{10}^{-6}}{}C.$ After load $P$ is applied to the rigid bar and the temperature

rises $50C,$ a strain gage affixed to member $(1)$ measures a strain increase of $2200.$ Assume $a=1\mathrm{.}85m,b=1\mathrm{.}75m,$ and $L_1=4\mathrm{.}35$

m$.$ Determine:

$($a$)$ the normal stress in member $(1).$

$($b$)$ the magnitude of applied load $P.$

$($c$)$ the deflection of the rigid bar at $C.$

$($a$)$ Determine the strain ${}_T$ in the axial member $(1)$ caused by the temperature increase.

Answer: ${}_T=$

$m\frac{m}{m}m.$