Using the method of virtual work, determine the horizontal deflection at $C$ of the truss below: $($a$)$ for the applied loading, $($b$)$ for temperature change if members $AB$ and $BC$ experience a temperature increase of $T=200F,$ and $($c$)$ for fabrication error if member $CD$ is fabricated $0\mathrm{.}5$ inches too short, $($d$)$ if load, temperature change, and fabrication occur simultaneously. Take $A=2i{n}^2$ and $E=20({10}^3)ksi,$ and points