A $2\mathrm{.}0$ m long column has a circular cross section $6$ cm 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 fc $=550$ N$/$mm$2$

and a $=1/1600$ for pinned ends, ii$)$ Euler$$s formula, Young$$s modulus for C$.$I $=1\mathrm{.}3$x$105$

N$/$mm$2$