Problem $2$

Given rigid beam $AC$ supported by a wire at $B$ and a hinge at $C,$ find the displacement of point $A$ in the $y-$direction if $E=150$MPa, the length of the wire is $2\mathrm{.}5$ m $,$ and the cross$-$sectional area of the wire is $0\mathrm{.}1m^2.$ Additionally, find the strain in wire B$.$ Finally, if the bolt in the hinge at C has an ultimate shear stress of $120$ MPa and a diameter of $0\mathrm{.}04$ m $,$ will the hinge fail?