Consider the bar made from two segments, having constant cross$-$sectional areas A$1$

$=3$ in$2$

and A$2$

$=5$ in$2$

and lengths L$1$

$=4$ ft

and L$2$

$=2$ ft

$.$ There are two loads P$1$

$=550$ lb

and P$2$

$=-420$ lb

on the bar as shown. Take d$1$

$=2$ ft

and d$2$

$=5\mathrm{.}6$ ft

$.($Figure $1)$