THIN cylindrical vessel:Hoop stress, \({\sigma _h} = \frac{{pd}}{{2t}}\)Longitudinal stress, \({\sigma _L} = \frac{{pd}}{{4t}}\)Volumetric strain, \({\epsilon_v} = \frac{{pd}}{{4tE}}\left( {5 - 4\MU } \right)\)For thin spherical vessel:Hoop stress/Longitudinal stress:\({\sigma _h} = {\sigma _L} = \frac{{pd}}{{4t}}\)Hoop strain/longitudinal strain:\({\epsilon_L} = {\epsilon_h} = \frac{{pd}}{{4tE}}\left( {1 - \mu } \right)\)Volumetric strain:\({\epsilon_v} = 3{\epsilon_h} = \frac{{3pd}}{{4tE}}\left( {1 - \mu } \right)\)Calculation:PRESSURE = PRadius of cylinder = rThickness of cylinder = tSo hoop stress = (P x 2r)/2 x t = Pr/t