Q1. Prove that the minimum thickness of a spherical shell which can withstand the internal pressure without failure is (t=Pd/40), and calculate the maximum internal fluid pressure if the outside diameter of the sphere is 600 mm and the inside diameter is 57 cm. Assume yield and ultimate strength of material are 420 MPa ad 600 MPa respectively. The factor of safety is 3.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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QI. Prove that the minimum thickness of a spherical shell which can withstand the
internal pressure without failure is (t = Pd/40), and calculate the maximum internal
fluid pressure if the outside diameter of the sphere is 600 mm and the inside diameter
is 57 cm. Assume yield and ultimate strength of material are 420 MPa ad 600 MPa
respectively. The factor of safety is 3.
Transcribed Image Text:QI. Prove that the minimum thickness of a spherical shell which can withstand the internal pressure without failure is (t = Pd/40), and calculate the maximum internal fluid pressure if the outside diameter of the sphere is 600 mm and the inside diameter is 57 cm. Assume yield and ultimate strength of material are 420 MPa ad 600 MPa respectively. The factor of safety is 3.
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