Problem $1.(35$ points$)$

For the given truss, apply virtual work method and determine required values, Members have area of $4\mathrm{.}5i{n}^2,$ and $E=29,000$ksi.

a$)$ What is the vertical displacement at $G$ due to applied loads.

b$)$ If temperature on AE and EG is raised by $65F,$ what is the total vertical displacement of G $($including the given applied loads, $=6{10}^{-6}\frac{1}{F}).$

c$)$ What is the horizontal displacement of point G under the combined applied $15$ k vertical loads $($as shown$)$ and a temperature increase on members AE and EG by $)=(6{10}^{-6}\frac{1}{F}.$

d$)$ How would a vertical downward settlement at A effect the horizontal displacement of G that was calculated at part c $?$ Update the horizontal displacement of G for a vertical downward settlement of $0\mathrm{.}1$ in at support $A.$

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