$2\mathrm{.}2-14$ The three$-$bar truss ABC shown in the figure part a has a span $3$mL $5$ and is constructed of steel pipes having a cross$-$sectional area$($a$)$

A$53900$ mm$2$ and modulus of elasticity E $5200$ GPa. Identical oads P act both vertically and horizontally at joint C$,$ as shown.

$($a$)$ If P $475$ kN$5$ ment of joint B$?$

$,$ what is the horizontal displace$-($b$)$ What is the maximum permissible load value P max if the displacement of joint B is limited to $1\mathrm{.}5$ mm$?$

$($c$)$ Repeat parts $($a$)$ and $($b$)$ if the plane truss is replaced by a space truss $($see figure part b$).$