A plane stress state is given as follows (50MPa in the bottom right corner denotes the shear component, and others denote the normal components). 1) Please draw the Mohr's circle of this plane stress state. Indicate the center of the circle, the radius of the circle, and the point that corresponds to x-plane (the normal of the plane is x axis) 2) Determine the principal stresses and directions of this stress state using Mohr's circle. 3) Draw the stress element to show maximum shear stress T₁, T2, and the corresponding normal stress. 50 MPa 75 MPa 50 MPa
A plane stress state is given as follows (50MPa in the bottom right corner denotes the shear component, and others denote the normal components). 1) Please draw the Mohr's circle of this plane stress state. Indicate the center of the circle, the radius of the circle, and the point that corresponds to x-plane (the normal of the plane is x axis) 2) Determine the principal stresses and directions of this stress state using Mohr's circle. 3) Draw the stress element to show maximum shear stress T₁, T2, and the corresponding normal stress. 50 MPa 75 MPa 50 MPa
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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Step 1
To find:
(a) The sketch of the Mohr circle of this plane stress state.
(b) The principle stress and direction of state of stress.
(c) the stress element to show maximum shear stress and corresponding normal stress.
Given:
The stress in direction is .
The stress in direction is .
The shear stress is .
Formula used:
The radius of the Mohr's circle is,
The average shear stress is,
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