UC $356406340$ in Grade S$275$ is used as a concentrically loaded column. Assume it is pinned at both ends for major axis buckling and restrained in direction at both ends for minor axis buckling where the length, L is $12930$ mm$.$

Classify the cross$-$section and determine its resistance in compression.

Find elastic critical buckling for both the major$/$minor axis.

Find both the design buckling resistance of the column and also do it again if it is assumed to be pinned at both ends for again, major and minor axis buckling.