Bar AB has a constant cross$-$section and the connection of the bar is the same at the central principal inertial planes as shown.

Cross$-$sectional dimensions are given in centimeters. The material used to make bar AB has E$=1\mathrm{.}5$ x $10^4($kN$/$cm$^2)$; $\backslash$sigma tl $=18($kN$/$cm$^2)$; $\backslash$sigma cn$=24($kN$/$cm$^2).$ Constants a$=35\mathrm{.}73($ kN$/$cm$^2)$; b$=0\mathrm{.}195($kN$/$cm$^2)$; c$=0.$

a$)$ Determine the maximum slenderness of the bar and the limited slenderness of the material when l $=14($m$)$

b$)$ Choose the allowable load $[$P$]$ so that the bar ensures stable conditions, knowing k stability $=4$