Problem $216$

As shown in Fig. P$-216,$ two aluminum rods $AB$ and $BC,$ hinged to rigid supports, are pinned together at $B$ to carry a vertical load $P=6000lb.$ If each rod has a cross$-$sectional area of $0\mathrm{.}60$ in$.{?}^2$ and $E=1010,$ compute the elongation of each rod and the horizontal and vertical displacements of point $B.$ Assume $=30$ and $=30.$

Figure $P-210$ and $P-217$