Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 5 MPa in size. (a) Determine the stresses O, Oy, and the magnitude of Tand show them on a stress element. (b) Determine the stresses O Op and the magnitude of Tt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (l.e, either clockwise or counterclockwise).

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 5 MPa in size. (a) Determine the stresses O, Oy, and the magnitude of Tand show them on a stress element. (b) Determine the stresses O Op and the magnitude of Tt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (l.e, either clockwise or counterclockwise).

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

Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 5 MPa in size.
(a) Determine the stresses O, Oy, and the magnitude of Tyand show them on a stress element.
(b) Determine the stresses o, o, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to
the x-y element. The sketch must include the magnitude of the angle between thexand n axes and an indication of the rotation
direction (i.e., either clockwise or counterclockwise).
Answer:
(a) o i
MPa
Oy. i
MPa
MPa
(b) On-1
MPa
MPa
MPa
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