Analyse the pin$-$jointed structure $($truss$)$ shown in Figure Q$1.$ It is supported on a pin at joint $F$ and a pin on roller at joint $A.$

Considering the number of members $m,$ joints $j$ and unknown reaction forces $r,$ investigate whether the structure is statically determinate.

$(2$ marks$)$

Sketch the free body diagram of the structure.

$(2$ marks$)$

Determine the reactions at the supports.

$(4$ marks$)$

Determine ALL member forces.

$(12$ marks$)$

$P=25kN$

Figure Q$1$

Your results should be presented in tabular form, similar to that below:

$\backslash$table$[[$Member$,$Force $($kN$),$Type $($T or C $)],[$AB$,,],[$AE$,,],[$AD$,,],[DE,,],[$EB$,,],[CE,,],[CB,,]]$