A spherical pressure vessel has an inside diameter of 4.8 m and a wall thickness of 9 mm. The vessel will be constructed from a special steel [E = 221 GPa; v = 0.32] that has a yield strength of 460 MPa. If the internal pressure in the vessel is 1480 kPa, determine (a) the normal stress in the vessel wall, (b) the factor of safety with respect to the yield strength, (c) the normal strain in the sphere and (d) the increase in the outside diameter of the vessel.

A spherical pressure vessel has an inside diameter of 4.8 m and a wall thickness of 9 mm. The vessel will be constructed from a special steel [E = 221 GPa; v = 0.32] that has a yield strength of 460 MPa. If the internal pressure in the vessel is 1480 kPa, determine (a) the normal stress in the vessel wall, (b) the factor of safety with respect to the yield strength, (c) the normal strain in the sphere and (d) the increase in the outside diameter of the vessel.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.13P: : A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered...

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