$(10$ points$)$ Difficulty $(3/5)$

Given the truss shown, loaded and dimensioned with the values shown below, find the reaction forces and the forces carried in each member.

$\left[\begin{array}{ccc}a& c& F_1\\ b=7ft& d=5ft& F_2=410lb\end{array}\right]=410lb=5ft=7ft=590lb=410lb=5ft=7ft=590lb=5ft=410lb=5ft=7ft=590lb=5ft=7ft$

$R_{A_{\text{v}\text{e}\text{r}\text{i}\text{e}\text{a}\text{l}}}=$

$R_{A_{\text{h}\text{e}\text{r}\text{i}\text{m}\text{e}\text{n}\text{t}\text{a}\text{l}}}=$

$R_{E_{\text{h}\text{a}\text{r}\text{i}\text{m}\text{a}\text{n}\text{t}\text{a}\text{l}}}=$

$T_{AB}=$

$T_{BC}=$

$T_{CD}=$

$T_{DE}=$

$T_{AE}=$

$T_{BD}=$

$T_{BE}=$