Specify the diameter of a round column $1\mathrm{.}5m$ long that is to carry a maximum load estimated

to be $44kN($see Figure below$).$ Use a design factor $n_d=4.$ The column material selected has a

minimum yield strength of $500$MPa and Young's modulus is $207$GPa. $(10$ points$)$

$($a$)$ Calculate the diameter of the column and select a standardized diameter $(5$ points$)$

$($b$)$ Calculate the actual slenderness ratio and critical slenderness ratio to judge if this column

is a Euler column or not. $(5$ points$)$