Correct Answer - Option 2 : 250
Concept:
For thin cylindrical vessel:
Hoop stress, \({\sigma _h} = \frac{{pd}}{{2t}}\)
Longitudinal stress, \({\sigma _L} = \frac{{pd}}{{4t}}\)
Calculation:
Given:
r = 500 mm, d = 1000 mm, p = 5 MPa = 5 N/mm2, t = 10 mm
\(\sigma_h=\frac{{pd}}{{2t}} = \frac{{5 \times 1000}}{{2 \times 10}} = 250\;N/m{m^2}\)
For thin spherical vessel:
Hoop stress/Longitudinal stress:
\({\sigma _h} = {\sigma _L} = \frac{{pd}}{{4t}}\)