A torque of magnitude T= 25,000 lb-in is applied to the end of a tank containing compressed air under a pressure (p) of 20 psi. The tank has a 20" inner diameter and a 0.2" wall thickness. The material yield stress (Sy) is 3,000 psi. Consider maximum stress conditions for the pressure vessel analysis. The cross section of the tank has the following geometric properties: A = 12.7 in² and J = 1294 inª. (a) Considering only the internal pressure of 20 psi., determine the equivalent stress using the distortional energy theory. (b) Under both the applied torque and internal pressure loading, determine the factor of safety to the tank according to the distortional energy theory. T

A torque of magnitude T= 25,000 lb-in is applied to the end of a tank containing compressed air under a pressure (p) of 20 psi. The tank has a 20" inner diameter and a 0.2" wall thickness. The material yield stress (Sy) is 3,000 psi. Consider maximum stress conditions for the pressure vessel analysis. The cross section of the tank has the following geometric properties: A = 12.7 in² and J = 1294 inª. (a) Considering only the internal pressure of 20 psi., determine the equivalent stress using the distortional energy theory. (b) Under both the applied torque and internal pressure loading, determine the factor of safety to the tank according to the distortional energy theory. T

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 8.5.16P: A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm....

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