Question $1(30$ Marks$)$

A pin$-$jointed framework ABC is supported and loaded as shown in Figure $1.$

$($i$).$ Determine the reaction forces at A and $C.$

$(10$ Marks$)$

$($ii$).$ Determine the axial force in the bars $AB,BC$ and $AC,$ indicating whether each bar is in tension or compression.

$(15$ Marks$)$

$($iii$).$ If each bar has a hollow circular cross section whose outer diameter is $30$ mm and whose wall thickness is $4$ mm $,$ determine the axial stress in the most highly loaded bar.

$(5$ Marks$)$