The principal stresses at a point in an elastic component are 61 62 63. For given values of 02 and 03, find the value of o, such that the octahedral shearing stress has an extreme value. Ans: 0₂ +03/2.

The principal stresses at a point in an elastic component are 61 62 63. For given values of 02 and 03, find the value of o, such that the octahedral shearing stress has an extreme value. Ans: 0₂ +03/2.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.11P: The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y...

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

The principal stresses at a point in an elastic component are 6₁ 6₂ 63. For given
values of 02 and 03, find the value of o, such that the octahedral shearing stress has
an extreme value.
Ans: 0₂ +03/2.

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