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: