Example $5$

A W$310$x$74$ steel $(E=200$GPa $)$ column has an actual length of $5\mathrm{.}0$m$.$

The column is fixed at the base and unrestrained at the top.

Determine the maximum load that may be supported if a factor of

safety of $2\mathrm{.}5$ must be satisfied.

From Appendix C:

$A=9420m{m}^2$

$I_x=163{10}^{6}m{m}^4$

$I_y=23\mathrm{.}4{10}^{6}m{m}^4$

$r_x=132mm$

$r_y=49\mathrm{.}8mm$