$2.($adapted from Hibbeler $\backslash (10^\{\backslash$text $\{$th $\}\}\backslash )$ ed$.$ prob. $13-28)$

The linkage is made using two A$992$ steel rods, each having a solid circular cross section. If each rod has a diameter of $2$ in$.,$ determine the largest load it can support without causing any rod to buckle if the factor of safety against buckling is $1\mathrm{.}8.$ Assume that the rods are pin connected at their ends.

Answer: limitation on P due to rod AB : $8\mathrm{.}634$ kip; limitation on P due to rod BC : $7\mathrm{.}369$ kip; overall limitation on P: $7\mathrm{.}369$ kip