PROBLEM:

A W$18$x$60$ A$36$ steel column is subjected to LL$=510$KN; DL$=650$KN as shown with the following data:

$(1)$ Moment @ X$-$axis: Mu$1=11$KN$-$m & Mu$2=35$KN$-$m

$(2)$ Moment @ Y$-$axis: Mu$1=21$KN$-$m & Mu$2=45$KN$-$m

Neglect side sway and use K$=0\mathrm{.}81($slenderness factor of the column$)$

REQUIRED:

Investigate the adequacy of the eccentrically loaded A$36$ steel column based on the following design methods:

$(1)$ by LRFD

$(2)$ by ASD using AISC$-$NSCP $2010$ & $2015$ and ASEP Manual

Write your conclusions for each design method using Fy$=210$MPa.

Note that force P $=$ DL $+$ LL acts vertically on top of the steel column and L$=5\mathrm{.}50$m is the length$/$height of the steel column. Show complete solution.