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A section of double-extra-strong pipe made of steel with yield strength Oy = 50ksi is subjected to a bending moment M= (35+0.8R) kip.in. and torque T = (175+0.8R) kip.in., as shown in figure below. The outer diameter of the pipe is d, = 3.5in., and the inner diameter is d; = 2.3in. Analyze by using the concepts of stresses under combined loadings and theories of yielding/failure: (a) Determine the stresses under the applied moment and torque; and also the principal stresses at the stress element shown on the pipe in the figure. (b) What factor of safety is predicted by the failure criterion of the maximum- shear-stress theory of failure? (c) What is the value of the Mises equivalent stress for the given state of plane stress, and what is the factor of safety, predicted by the failure criterion of the maximum-distortion-energy theory of failure?: d, d;

A section of double-extra-strong pipe made of steel with yield strength Oy = 50ksi is subjected to a bending moment M= (35+0.8R) kip.in. and torque T = (175+0.8R) kip.in., as shown in figure below. The outer diameter of the pipe is d, = 3.5in., and the inner diameter is d; = 2.3in. Analyze by using the concepts of stresses under combined loadings and theories of yielding/failure: (a) Determine the stresses under the applied moment and torque; and also the principal stresses at the stress element shown on the pipe in the figure. (b) What factor of safety is predicted by the failure criterion of the maximum- shear-stress theory of failure? (c) What is the value of the Mises equivalent stress for the given state of plane stress, and what is the factor of safety, predicted by the failure criterion of the maximum-distortion-energy theory of failure?: d, d;

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A section of double-extra-strong pipe made of steel with yield strength Oy = 50ksi is subjected to a bending moment M = (35+0.8R) kip.in. and torque T = (175+0.8R) kip.in., as shown in figure below. The outer diameter of the pipe is d, = 3.5in., and the inner diameter is d; = 2.3in. Analyze by using the concepts of stresses under combined loadings and theories of yielding/failure: (a) Determine the stresses under the applied moment and torque; and also the principal stresses at the stress element shown on the pipe in the figure. (b) What factor of safety is predicted by the failure criterion of the maximum- shear-stress theory of failure? (c) What is the value of the Mises equivalent stress for the given state of plane stress, and what is the factor of safety, predicted by the failure criterion of the maximum-distortion-energy theory of failure?: M d, d;
Transcribed Image Text:A section of double-extra-strong pipe made of steel with yield strength Oy = 50ksi is subjected to a bending moment M = (35+0.8R) kip.in. and torque T = (175+0.8R) kip.in., as shown in figure below. The outer diameter of the pipe is d, = 3.5in., and the inner diameter is d; = 2.3in. Analyze by using the concepts of stresses under combined loadings and theories of yielding/failure: (a) Determine the stresses under the applied moment and torque; and also the principal stresses at the stress element shown on the pipe in the figure. (b) What factor of safety is predicted by the failure criterion of the maximum- shear-stress theory of failure? (c) What is the value of the Mises equivalent stress for the given state of plane stress, and what is the factor of safety, predicted by the failure criterion of the maximum-distortion-energy theory of failure?: M d, d;
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