The column shown below at the ground level is $9000mm$ long and carries a factored axial load of $3000kN.$ The girders $($W$530$x$101)$ spans $8000mm$ and $($W$530$x$123)$ spans $10000mm$ respectively, and are rigidly connected to the column flanges at both ends $($moment connection, continuous at the far end$).$ The column can be considered as fixed at the base $($foundation$)$ and adequately braced in the weak direction $($no weak axis buckling of the column$).$ Design the column using a W$-$shape and Grade $350W$ steel of the lightest section permissible. Assume the same column is extended beyond the first floor. The column above the first floor is $7000mm$ long $($first to second floor$).$ Calculate the factored compression resistance of the selected section to verify that it meets the requirement.