If the thin cylindrical shell whose diameter is 'd' is subjected to an internal pressure 'p', then the ratio of longitudinal stress to the hoop stress is-
1/2
Thin cylindrical shells subjected to internal pressure experience two primary types of stresses acting on the wall: Therefore, the ratio of longitudinal stress to hoop stress in a thin cylindrical shell under internal pressure is 1/2.
Important Questions from Analysis of Thin Cylinder
A welded steel cylindrical drum made of a 10 mm thick plate has an internal diameter of 1.20 m. Find the change in diameter that would be caused by internal pressure of 1.5 MPa. Assume that Poisson's ratio is 0.30 and E = 200 GPa (longitudinal stress, σy = pD/4t circumferential stress, σx = pD/2t).
- A thin seamless pipe of diameter 'd' m is carrying fluid under a pressure of 'p' kN/cm2. If the maximum stress is not exceed 'σ' kN/cm2, the necessary thickness 't' of metal in cm will be given as
The longitudinal stress induced in a thin-walled cylindrical vessel of diameter D, thickness t, under pressure P is
- A cylindrical tank of internal diameter 10 m is fabricated from 10 mm thick steel plate. What is the maximum tangential stress due to internal pressure of 4 kPa?
Oxygen gas at a pressure of 20 MPa is stored in a thin cylinder of thickness 2.5 mm and a mean diameter of 50 mm. The longitudinal stress in the cylinder is
