At a point in a material, the principal stresses are 800 N/cm² and 300 N/cm² where both are tensile. Find the normal, tangential and resultant stresses on a plane inclined at 50° to the major principal plane.

At a point in a material, the principal stresses are 800 N/cm² and 300 N/cm² where both are tensile. Find the normal, tangential and resultant stresses on a plane inclined at 50° to the major principal plane.

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 7.2.27P: -27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile...

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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

At a point in a material, the principal stresses
are 800 N/cm² and 300 N/cm² where both are tensile. Find
the normal, tangential and resultant stresses on a plane
inclined at 50° to the major principal plane.

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