The truss shown is called a king$-$post truss. It is inverted, such that the structure lies below the plane of the supports. Find the reactions at the supports and the forces

carried in each member when a force of $F=12kN$ is applied and the dimensions of the truss are given below.

$a=2\mathrm{.}8m$

$=50$ degrees

$=63$ degrees

Designte members in compression with negative values, and members in tension with positive values.

$R_{A_{\text{h}\text{o}\text{r}\text{i}\text{z}\text{o}\text{n}\text{t}\text{a}\text{l}}}=$

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

$R_{C_{\text{v}\text{e}\text{r}\text{t}\text{i}\text{o}\text{l}}}=$

$T_{AB}=$

$T_{BC}=$

$T_{CD}=$

$T_{AD}=$

$T_{BD}=$