The $41-$ Ib rectangular access door is held in the $90$ open position by the single prop CD$.$ Determine the magnitude of the force

$F$ in the prop and the magnitude of the force normal to the hinge axis $AB$ in each of the small hinges A and $B.$

Assume $a=29$ in$.,b=48$ in$.,c=15$ in$.,d=46$ in$.$

Answers:

$F=,lb$

$A=4lb$

$B=,lb$