A steel column shown below has a fixed$-$end and a free$-$end, with a cross sectional area of $600c{m}^2$ and a length of $3m.$ The moment of inertia about $x-$axis is $45000c{m}^4,$ and the moment of inertia about $y-$axis is $20000c{m}^4.$ The yielding strength of steel is $180$MPa. The modulus of elasticity is $200$GPa.

$(1)$ If an axial load is applied at the top of column along the $z-$ axis, which direction will the column buckle firstly? Please draw the buckling of the column, and explain why. $(5$ points$)$

$(2)$ Will the column yield? Determine the maximum theoretical load this column can support without buckling and without yielding. $($Answer rounded to $0\mathrm{.}1kN)$