$9-32$

A structural steel $($E $=200$ GPa$)$ bar has a diameter of $50$ mm$,$ is $5$ m long, and supports an axial compressive load P$,$ as shown in Fig. P$9-32.$ End A is fixed. The support at end B permits free movement in the x$-$ and z$-$directions but no rota$-$ tion about the z$-$axis. Determine the maximum load P that can be applied if a factor of safety of $2$ with respect to failure by buckling is specified.

The Answer is P $=3\mathrm{.}03$ KN