Use the Virtual Work method to analyze the following truss

The left support is a roller and the right support is a pin.

Top Chords are $1212\text{'}$s

Verticals are $10{10}^{\text{'}}s$

Diagonals BG and DG

Diagonals AF$,$ FG$,$ GH$,$ and HE

$A_{1212}=11\mathrm{.}5$inx$11\mathrm{.}5in=132\mathrm{.}25i{n}^2,E=1,200$ksi

$A_{1010}=9\mathrm{.}5$inx,$9\mathrm{.}5in=90\mathrm{.}25i{n}^2,E=1,200$ksi

$A_{BG}=A_{DG}=1\mathrm{.}49i{n}^2$

$A_{AF}=A_{FG}=A_{GH}=A_{HE}=1\mathrm{.}77i{n}^2$

$E=1,200$ksi

$E=1,200$ksi

$E=29,000$ksi

$E=29,000$ksi

Determine the vertical deflection at Point $C$ due to the applied loads.

Determine the vertical deflection at Point $C$ due to Members AF$,$ FG$,$ GH$,$ HE$,$ BG$,$ and DG being subjected to a

temperature change of $+120F$ and the remaining are subjected to a temperature change of $+50F.$ No other

loads are applied.

a$.$ The coefficient of thermal expansion for the diagonals and lower chords is $6\mathrm{.}1\frac{{10}^{-6}}{}F$

b$.$ The coefficient of thermal expansion for the top chords and verticals is $2\mathrm{.}8\frac{{10}^{-6}}{}F$