Ox+0y , Ox-Oy Plane-stress transformation: 0r, =· 2 -cos20 + Txysin20 Txryı 2 sin20 + TxyC0s20 2 Ox+0y Ox-Oy Oy, = 2 cos20 – 2 - Txysin20 The state of plane stress at a point is represented on the element shown in the figure below. Determine the state of stress at this point on another element oriented 28° clockwise from the position shown. Show your work. 25 ksi 12 ksi

Ox+0y , Ox-Oy Plane-stress transformation: 0r, =· 2 -cos20 + Txysin20 Txryı 2 sin20 + TxyC0s20 2 Ox+0y Ox-Oy Oy, = 2 cos20 – 2 - Txysin20 The state of plane stress at a point is represented on the element shown in the figure below. Determine the state of stress at this point on another element oriented 28° clockwise from the position shown. Show your work. 25 ksi 12 ksi

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

Ox+0y , Ox-Oy
Plane-stress transformation: 0x, =
2
-cos20 + TxySin20 Txryı
2
sin20 + TxyCos20
2
Ox+0y Ox-Oy
Oyi
у
-cos20 – Txysin20
2
2
The state of plane stress at a point is represented on the element shown in the figure below. Determine the state of
stress at this point on another element oriented 28° clockwise from the position shown. Show your work.
25 ksi
12 ksi

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