The articular Cartilage is subjected to plane stress with normal stresses ox , Oy and shear stress Txy, as shown in the figure. At a counterclockwise angle e = 30° from the x-axis, the normal stress is 3 MPa tension, and at an angle e = 50°, it is 2 MPa compression. Find the principals stresses.

The articular Cartilage is subjected to plane stress with normal stresses ox , Oy and shear stress Txy, as shown in the figure. At a counterclockwise angle e = 30° from the x-axis, the normal stress is 3 MPa tension, and at an angle e = 50°, it is 2 MPa compression. Find the principals stresses.

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 7.4.15P: An clement in plane stress is subjected to stresses a,. cry, and (see figure). Using Mohr’s circle,...

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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 articular Cartilage is subjected to plane stress
with normal stresses ox , Oy and shear stress Txy, as
shown in the figure. At a counterclockwise angle
e = 30° from the x-axis, the normal stress is 3 MPa
tension, and at an angle e = 50°, it is 2 MPa
compression. Find the principals stresses.

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