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The axial stresses on a machine element are -40 MPa and 70 in the x and y axis respectively and the shear stress is 50 MPa. Find the principal stresses and the maximum principal shear stress

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 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

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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 axial stresses on a machine element are -40 MPa
and 70 in the x and y axis respectively and the shear
stress is 50 MPa. Find the principal stresses and the
maximum principal shear stress

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