A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is
$ \begin{array}{l}{\mathrm\sigma}_\mathrm C=\frac{\mathrm{Pd}}{2\mathrm t}\\{\mathrm\sigma}_\mathrm I=\frac{\mathrm{Pd}}{4\mathrm t}\\\frac{{\mathrm\sigma}_\mathrm C}{{\mathrm\sigma}_\mathrm I}=2\end{array} $
A thin gas cylinder with an internal radius of 100 mm is subject to an internal pressure of 10 MPa. The maximum permissible working stress is restricted to 100 MPa. The minimum cylinder wall thickness (in mm) for safe design must be ____
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is
A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is
A thin cylinder of inner radius 500mm and thickness 10mm is subjected to an internal pressure of 5 MPa. The average circumferential (hoop) stress in MPa is
A cylindrical container of radius R = 1 m, wall thickness 1 mm is filled with water up to a depth of 2 m and suspended along its upper rim. The density of water is 1000kg/m^{3} and acceleration due to gravity is 10 m/s^{2} The self-weight of the cylinder is negligible. The formula for hoop stress in a thin – walled cylinder can be used at all points along the height of the cylindrical container
The axial and circumferential stress (σ_{a}, σ_{c}) experienced by the cylinder wall at mid-depth (1 m as shown) are
(B) (5, 10) MPa
If the Young’s modulus and Poisson’s ratio of the container material are 100GPa and 0.3, respectively, the axial strain in the cylinder wall at mid-depth is