A $6\mathrm{.}096m$ long W$360$X$162($W$14$X$109)$ column in a building is braced by shear walls or diagonal braces $($i$.$e$.,$ a Braced Frame$).$ The column is pinned at both ends and subjected to the following factored load case obtained from a first$-$order structural analysis:

For the top column:

$Pu=2313KN,x=284KN-m,$ Muy $=135KN-m$

For the bottom column:

Mux $=142KN-m,$ Muy $=135kN-m$

The moments act in the clockwise direction at the top of the column and in the counterclockwise direction at the bottom of the column, resulting in single curvature bending in the column for the given load case. Assume ASTM A$992$ Grade $50$ steel. Use the AISC equations to determine the axial compression capacity of the column and use the actual $Cm$ factor for the column that corresponds to the given load case.

Using LRFD method, determine the adequacy $($compute the DCR using the interaction equation$)$