SOLVE

Final Answers should. be: P$3$: Loads only: vC $=2\mathrm{.}37$ in; Loads $+$ Temp Changes: vC $=2\mathrm{.}42$ in

P$3.$ The wood roof truss shown below is subjected to uplift forces as shown. Use $\backslash ($ E$=1200\backslash )$ ksi. Assume members AB$,$ BC$,$ CD$,$ DE$,$ AG$,$ GF$,$ and FE have a crosssectional area of $32$ in$2,$ and the remaining members have a cross$-$sectional area of $11\mathrm{.}25$ in$2.$

$($A$)$Find the max vertical deflection $($Joint C$)$ in the truss under the applied loads as shown.

$($B$)$Find the max vertical deflection $($Joint C$)$ in the truss under the applied loads as shown if the exterior members $($AB$,$ BC$,$ CD$,$ and DE$)$ are exposed to the direct sun and experience a temperature change of $\backslash (45^\{\backslash$circ$\}$ F $\backslash ).$ Use a coefficient of thermal expansion of $\backslash (2\mathrm{.}0\backslash$mathrm$\{$E$\}-\backslash$mathbf$\{6\}^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}^\{-1\}\backslash ).$