The state of stress at a point in a machine component is given by ox = 120 MPa, oy = 55 MPa, Oz = -85 MPa, Oxy = -55 MPa, Oxz = -75 MPa, and Oyz = 33 MPa. Construct the Mohr's circles of stress for this stress state and find the maximum shear stress.

The state of stress at a point in a machine component is given by ox = 120 MPa, oy = 55 MPa, Oz = -85 MPa, Oxy = -55 MPa, Oxz = -75 MPa, and Oyz = 33 MPa. Construct the Mohr's circles of stress for this stress state and find the maximum 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 7.2.4P: .4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find 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 state of stress at a point in a machine component is given by ox = 120 MPa, oy = 55 MPa,
Oz = -85 MPa, Oxy = -55 MPa, Oxz = -75 MPa, and oyz
= 33 MPa. Construct the Mohr's circles
of stress for this stress state and find the maximum shear stress.

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