Q$.5$ The two$-$member frame is pin$-$connected at $\backslash ($ B $\backslash )$ and supported by pins at $\backslash ($ A $\backslash )$ and $\backslash ($ C $\backslash )$ as shown in Figure $11.$ The diameters of pins at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ are $8$ mm and $6$ mm $,$ respectively.

$($a$)$ Determine the horizontal and vertical components of reaction that the pins $\backslash ($ A $\backslash )$ and $\backslash ($ C $\backslash )$ exert on the frame.

$(12$ marks$)$

$($b$)$ Determine the average shear stress developed in pins A and C$.$ Pin A is subjected to single shear and Pin Cis subjected to double shear.

$(8$ marks$)$