A thin walled cylindrical pressure vessel having a radius of $$0.5$$ $$m$$ and wall thickness of $$25$$ $$mm$$ is subjected to an internal pressure of $$700$$ $$kPa$$. The hoop stress developed is

A thin cylindrical vessel of mean diameter $$D$$ and of length $$'L'$$ closed at both the ends is subjected to a water pressure $$'P'$$. The value of hoop stress and longitudinal stress in the shell shall be respectively.

A cylindrical tank of radius $$'r'$$ and wall thickness $$'t'$$ has flat end closures. The tank is subjected to an internal pressure $$P.$$ The longitudinal $$\left( {{\sigma _x}} \right)$$ and the circumferential $$\left( {{\sigma _\theta }} \right)$$ stresses respectively are given by:

A thin-walled long cylindrical tank of inside radius $$'r'$$ is subjected simultaneously to internal gas pressure $$P$$ and axial compressive force $$F$$ at its ends. In order to produce 'pure shear' state of stress in the wall of the cylinder, $$F$$ should be equal to