If the column carries a load of 160KN applied at distance 40mm from column axis, determine extreme fibre stresses. Take E for column material as 120 GPa.

Given Data:

$$\begin{aligned} P&=160 \mathrm{kN} \\ e &=40 \mathrm{~mm} \\ \text { Left } &=\frac{L}{\sqrt{2}}=\frac{4 \times 10^{3}}{\sqrt{2}} \\ \text { Extreme fibre stress } \\ \sigma &=\frac{P}{A}+\frac{P e}{Z} \\ &=\frac{160 \times 10^{3}}{\frac{\pi}{4}\left(200^{2}-160^{2}\right)}+\frac{\left(160 \times 10^{3} \times 40\right)}{\frac{\pi}{64} \times\left[200^{4}-160^{4}\right]} \times \frac{200}{2} \\ \sigma &={27.95 \mathrm{~N} / \mathrm{mm}^{2}} \end{aligned}$$