SSC JE Mechanical Engineering 11 Oct 2020 Shift 1 Papers

Given:
Diameter, d = 200 cm = 2 m, Pressure head, h = 10,000 cm = 100 m, Tickness t = 0.75 cm = 0.0075 m
Both longitudinal and hoop stress are tensile in nature, But as per design consideration of thickness we use hoop stress for calculation.
Pressure inside the cylinder, $\mathit{P}=\mathit{\rho }\mathit{g}\mathit{h}=1000\times 10\times 100={10}^6$ Pa
${\mathrm{\sigma }}_{\mathit{h}}=\frac{\mathit{p}\mathit{d}}{2\mathit{t}}$
${\mathrm{\sigma }}_{\mathit{h}}=\frac{{10}^6\times 2}{2\times 0.0075}=130.3\times {10}^6$ $=130.3\mathit{M}\mathit{P}\mathit{a}$