A shell of the configuration of part (a) has the following dimensions: b = 1.75 m, a = 100 mm, t = 3 mm. The torus is fabricated from ductile steel, of which the yield stress is 280 MN/m². Assuming a factor of safety of 2.5, calculate the maximum allowable pressure according to the following two theories of elastic failure:- (1) The Maximum Shear Stress Theory (ii) The Maximum Shear Strain Energy Theory Hence determine for each theory the magnitudes of the maximum circumferential and meridional stresses occurring when the maximum allowable pressure for that theory is applied. Comment on which theory is more conservative.

A shell of the configuration of part (a) has the following dimensions: b = 1.75 m, a = 100 mm, t = 3 mm. The torus is fabricated from ductile steel, of which the yield stress is 280 MN/m². Assuming a factor of safety of 2.5, calculate the maximum allowable pressure according to the following two theories of elastic failure:- (1) The Maximum Shear Stress Theory (ii) The Maximum Shear Strain Energy Theory Hence determine for each theory the magnitudes of the maximum circumferential and meridional stresses occurring when the maximum allowable pressure for that theory is applied. Comment on which theory is more conservative.

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 1.5.4P: The strength-to-weight ratio of a structural material is defined as its load-carrying capacity...

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