Question $2$: Virtual Work Method $(20$ Points$)$Determine the vertical deflection at joint G of the truss shown below due to a temperature increase of $65$F in members AB$,$ BC$,$ CD and DE and a temperature drop of $20$F in members FG and GH$.$ Use the method of virtual work. The support at A is a pin and the support at E is a roller. Use $1^$kN$($change inG$)=$summation$($aFsubv$($change inT$)$ with a$=6\mathrm{.}5$x$10^-6/$F$.$