Correct Answer - Option 3 : pd/2t
Concept:
A thin pressure vessel having closed ends and contains fluid under a gauge pressure ‘p’. Then the walls of the cylinder will have longitudinal stress as well as circumferential stress.
Circumferential or hoop stress: \({\sigma _h} = \frac{{pd}}{{2t}}\)
Longitudinal or axial stress: \({\sigma _L} = \frac{{pd}}{{4t}}\)
where ‘d’ is the internal diameter and ‘t’ is the wall thickness of the cylinder.