uniformly applied around B. Calculate i)The normal stresses at the upper post ii) It is desire that stress in the upper and lower post is the same find W2

$\sigma_1 =\frac{load}{area} = \frac{W_1}{A_1}\\ \sigma_2 =\frac{W_1 + W_2}{A2}$

$\textit{Case (i)}\hspace{0.05cm} \sigma = ? \hspace{0.05cm}\textit{for upper post}$

$\sigma_1 = \frac{P}{A} = \frac{12 \hspace{0.05cm}\times\hspace{0.05cm} 10^3}{\frac{\pi}{4}\hspace{0.05cm} \times\hspace{0.05cm} 30^2} \\ \hspace{0.25cm}= 16.97 \hspace{0.05cm}N/mm^2$

$\textit{Case (ii) It is given that} \hspace{0.05cm}\sigma_1 = \sigma_2\\ \frac{W1}{A1} = \frac{W1+W2}{A2}\\ 16.97 = \frac{12\hspace{0.05cm}\times\hspace{0.05cm}10^3 + W_2}{\frac{\pi}{4}\hspace{0.05cm}\times\hspace{0.05cm}50^2}\\ W_2 = 21.32\hspace{0.05cm}\times\hspace{0.05cm}10^3\hspace{0.05cm}N$