A $1\mathrm{.}2$ m long column has a circular cross section of $45$ mm diameter. One of the ends of the column is fixed in direction and position and other end is free. Taking factor of safety as $3,$ Calculate the safe load using

$($i$)$ Rankine's formula, take yield stress $=560$ N$/$mm$2$

and a $=1/1600$ for pinned ends. $($ii$)$

Euler's formula, Young's modulus for Cast Iron $=1\mathrm{.}2$ x $105$N$/$mm$2$

$.$