Given:

W$/14132$

ASTM A$572$ Gr $50$ Steel.

Column length $\backslash (=18\backslash$mathrm$\{$ft$\}\backslash )$ long and plnned at top and bottom.

Determine:

$1.$ Maximum allowable compressive stress $($Fa$),$ assuming no lateral bracing.

$2.$ Maximum allowable compresslve load $(\backslash ($ P $\backslash )),$ assuming no lateral bracing.

$3.$ Maximum allowable compressive stress $($Fa$),$ assuming the column braced at mid height in the week axis.

$4.$ Maximum allowable compressive load $($P$),$

assuming the column braced at mid height in the week axls..

$5.$ Find the llghtest W$/14$ that can safely carry a load $\backslash ($ P$=750\backslash )$ Kips.