6 The principal stresses at a point on a plane are01= 50,O2 = 40andO3 =- 20 MPaDetermine the normal and shear stresses on this plane if its direc-1tion cosines are2V14' J4' J14

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Answered: 6 The principal stresses at a point on…

6 The principal stresses at a point on a plane are O2 = 40 Determine the normal and shear stresses on this plane if its direc- = 50, and 03 -20 MPa %3D %3D 1 tion cosines are V14' J4' J14

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 7.3.7P: The normal and shear stresses acting on element A are 6500 psi, 17,300 psi, and 2900 psi (see 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

6 The principal stresses at a point on a plane are
01
= 50,
O2 = 40
and
O3 =
- 20 MPa
Determine the normal and shear stresses on this plane if its direc-
1
tion cosines are
2
V14' J4' J14

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