For the state of stress shown in figure (a=54 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 54 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes

For the state of stress shown in figure (a=54 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 54 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes

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.

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For the state of stress shown in figure (a=54 degrees), determine
(a) The normal and shear stress acting along the oblique face of the shaded triangle
(b) The state of stress, if the element were rotated by an angle 54 degrees clockwise
(c) The state of stress acting on the principal normal planes
(d) The state of stress acting on the principle shear planes
y
α
60 MPa
90 MPa
80 MPa
X

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Step 1: Determine the normal and shear stress acting along the oblique face of the shaded traingle.

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Step 2: Determine the state of stress , if the element were rotated by an angle 54 degree clockwise.

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Step 3: Determine the state of stress acting on the principal normal planes.

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Step 4: Determine the state of stress acting on the principle shear planes.

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