Answered: Find the normal, tangential and the…

Find the normal, tangential and the resultant stress & its inclination on a plane making an angle of 35° with the plane of first 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 7.2.19P: At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with...

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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

2. The Principal stresses at a point across two perpendicular planes are 90MN/m² (tensile) and 40MN/m² (compressive). The shear stress across these planes is 25 MN/m² (counter clockwise). Find the normal, tangential and the resultant stress & its inclination on a plane making an angle of 35° with the plane of first stress.

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