Q$.2$ A truss shown in Figure Q$.2$ has a pinned support at A and a roller support at $C,$ and it is subjected to point loads of $10kN,20kN,10kN$ and $30$ kN at $C,F,G$ and $H$ respectively.

$($a$)$ Prove that the reactions $V_A,V_C$&$H_A$ at supports A and $C$ are $35kN,5kN$ and $30$ kN respectively.

$(5$ marks$)$

$($b$)$ Identify the zero force members by visual inspection.

$(5$ marks$)$

$($c$)$ Determine the member force in each member by calculation and $/$ or inspection. Indicate whether the members are in tension or compression by adopting the sign convention $"+$ve sign" for tensile and $"-$ve sign" for compressive force.

$(15$ marks$)$

Insert the member forces into the attached Answer Sheet on Page $8$ of this paper and submit it together with your answer book.

Figure $0\mathrm{.}2$