Question $4$

A $6$ m long column has cross$-$section as shown in Figure Q$3.$ Both ends of the column are fixed.

$($a$)$ Calculate the Euler's buckling load of the column.

Take Young's modulus $=2000k\frac{N}{m}{m}^2$

$($b$)$ Calculate the buckling load of the column using the Rankine formula, given yield stress $=560\frac{N}{m}{m}^2$ and Rankine's constant $=\frac{1}{1600}$

$[15+10$ marks$]$