Problem 3 A large spherical tank (see figure) contains gas at a pressure of 3.5 MPa. The tank is 20 m in diameter and is constructed of high-strength steel having a yield stress in tension of 550 MPa. (a) Determine the required thickness of the wall of the tank if a factor of safety of 3.5 with respect to yielding is required. (b) If the tank wall thickness is 100 mm, what is the maximum permissible internal pressure? (Assume that the given radius or diameter is an inside dimension and that all internal pressures are gage pressures.)

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 8.2.3P: A large spherical tank (see figure) contains gas at a pressure of 420 psi. The tank is 45 ft in...
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Problem 3
A large spherical tank (see figure) contains gas at a pressure of 3.5 MPa. The tank is
20 m in diameter and is constructed of high-strength steel having a yield stress in
tension of 550 MPa. (a) Determine the required thickness of the wall of the tank if a
factor of safety of 3.5 with respect to yielding is required. (b) If the tank wall
thickness is 100 mm, what is the maximum permissible internal pressure?
(Assume that the given radius or diameter is an inside dimension and that all internal
pressures are gage pressures.)
Transcribed Image Text:Problem 3 A large spherical tank (see figure) contains gas at a pressure of 3.5 MPa. The tank is 20 m in diameter and is constructed of high-strength steel having a yield stress in tension of 550 MPa. (a) Determine the required thickness of the wall of the tank if a factor of safety of 3.5 with respect to yielding is required. (b) If the tank wall thickness is 100 mm, what is the maximum permissible internal pressure? (Assume that the given radius or diameter is an inside dimension and that all internal pressures are gage pressures.)
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