Question

A thin cylindrical steel pressure vessel of diameter $6cm$ and wall thickness $3mm$ is subjected to an internal fluid pressure of intensity ${}^{\prime }{p}^{\prime }$. If the ultimate strength of steel $3600kg/c{m}^2$, the bursting pressure will be

• A. $18kg/c{m}^2$
• B. $36kg/c{m}^2$
• C. $180kg/c{m}^2$
• D. $360kg/c{m}^2$

Answer 1

The correct option is D $360kg/c{m}^2$

Hoop stress is more than longitudinal stress.
Hoop stress $=\frac{pd}{2t}=$ ultimate strength
Given, $d=6cm,t=3mm=0.3cm$
$\therefore p=\frac{3600\times 2\times 0.3}{6}=360kg/c{m}^2$