Question $3$

$20$ marks

Below truss is supported by a pin support at A and a roller support at E$.$

$($a$)$ Calculate the support reactions at A and E $.$

$($b$)$ Calculate the forces in members $AB,AG,ED$ and EF using method of joints. Identify the members in tension $($T$)$ or compression $($C$).$ Show the free body diagrams of the joints clearly.

$($c$)$ Calculate the forces in members BC and GF using method of sections. Identify the members in tension $($T$)$ or compression $($C$).$ Show the free body diagram of the section clearly.

$(6)$