For the plane stress state shown:(a) Determine the principal stresses, and show them on a properly oriented element. For this part, use the transformation equations only and not Mohr’s circle.(b) Repeat part (a) using Mohr’s circle.(c) Determine the maximum shear stress and show the complete state of stress on a properly oriented element containing this maximum shear stress.**Diagram Description:**There is a square element subjected to plane stress. The stresses acting on the element are as follows:- A vertical compressive stress of 25 kpsi acting downward on the top side of the element.- A horizontal compressive stress of 12 kpsi acting to the left on the right side of the element.- A clockwise shear stress of 15 kpsi acting on the element.

Answered: For the plane stress state shown: (a)…

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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For the plane stress state shown:

(a) Determine the principal stresses, and show them on a properly oriented element. For this part, use the transformation equations only and not Mohr’s circle.

(b) Repeat part (a) using Mohr’s circle.

(c) Determine the maximum shear stress and show the complete state of stress on a properly oriented element containing this maximum shear stress.

**Diagram Description:**

There is a square element subjected to plane stress. The stresses acting on the element are as follows:

- A vertical compressive stress of 25 kpsi acting downward on the top side of the element.
- A horizontal compressive stress of 12 kpsi acting to the left on the right side of the element.
- A clockwise shear stress of 15 kpsi acting on the element.

Expert Solution

Step 1: Given Data:

Given :

$sigma subscript x equals negative 15 space k i p s sigma subscript y equals negative 25 space k i p s tau subscript x y end subscript equals negative 12 space k i p s$

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