Problem 1-12 The state of stress at a point is given by : 0, = 40,Oy = 50, 0̟ = - 70, ty = 40, tvz = 80 and tw = 30 MPa. Determine the stateof stress by rotating the axes about the x-axis through 30° in the anti-clockwise direction.%3D%3D%3D

The direction cosine after rotation are, x y z x' 3/2 1/2 0 y' -1/2 3/2 0 z' 0 0 1

Problem 1-12 The state of stress at a point is given by : 0, = 40, %3D Oy = 50, 0; = - 70, ty = 40, tyz = 80 and tv = 30 MPa. Determine the state of stress by rotating the axes about the x-axis through 30° in the anti- clockwise direction. %3D %3D %3D

Problem 1-12 The state of stress at a point is given by : 0, = 40, %3D Oy = 50, 0; = - 70, ty = 40, tyz = 80 and tv = 30 MPa. Determine the state of stress by rotating the axes about the x-axis through 30° in the anti- clockwise direction. %3D %3D %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

Problem 1-12 The state of stress at a point is given by : 0, = 40,
Oy = 50, 0̟ = - 70, ty = 40, tvz = 80 and tw = 30 MPa. Determine the state
of stress by rotating the axes about the x-axis through 30° in the anti-
clockwise direction.
%3D
%3D
%3D

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