(Solved): 11.3-12 A long slender column ABC is pinned at ends A and C and compressed by an axial force P (see ...

11.3-12 A long slender column $ABC$ is pinned at ends $A$ and $C$ and compressed by an axial force $P$ (see figure). At the midpoint $B$, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wideflange section (W $250\times 67$ ) with $E=200\mathrm{GPa}$. The distance between lateral supports is $L=5.5\mathrm{m}$. Calculate the allowable load $P$ using a factor of safety $n=2.4$, taking into account the possibility of Euler buckling about either principal centroidal axis (i.e., axis $1?1$ or axis $2?2$ ). PROB. 11.3-12