For the $2-$member frame shown below, there is a fixed weight of $186lb$ connected to member ABCD at D and d$1=6ft,d2=6ft$ and $d3=15ft.$ Assuming that member EBF is made of a thin strip of aluminum that can only handle $86lbs$ of compression before it fails $($buckles$),$ determine the minimum force that must be applied at $A$ to the member ABCD to prevent the frame from failing.

$($Note: the $2$ members are ABCD and EBF $-$ Point $C$ is not a joint, it is a pivot point of a rigid member ABCD $)$