$(25$ Pts$)$ A loading crane consisting of a

steel girder ABC supported by a cable

$BD.$ A force $P=9kN$ is applied to the

end $B$ of the member and causes it to

rotate by $=0\mathrm{.}5.$ Originally the cable is

unstretched.

$($a$)$ Draw the free$-$body$-$diagram of the

beam $BC.(6$ Pts$)$

$($b$)$ Determine the required diameter of

the cable if the allowable stress is $40$

MPa. $(6$ Pts$)$

$($c$)$ What is the average normal strain in

cable $AB.(6$ Pts$)$

$($d$)$ Determine the internal forces in the

beam at point $E($midway between pints $C$ and $B).(7$ Pts $)$