Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.

For the assembly shown in the figure, high$-$density polyethylene bars $(1)$ and $(2)$ each have coefficients of thermal expansion of $=87\frac{{10}^{-6}}{}F.$ If the temperature of the assembly is decreased by $26F$ from its initial temperature, determine the resulting displacement of pin B$.$ Assume $b=39$ in$.$ and $=63.$

Part $1$

Determine the dimension a shown in the figure.

$a=$ in$.$

Attempts: $0$ of $3$ used

Part $2$

Determine the initial length of member $(1).$

$L_1=$ in$.$