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
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A plane stress state is given as follows (50MP 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 71, T2, and the corresponding normal
stress.
75 MPa
50 MPa
50 MPa
Transcribed Image Text:A plane stress state is given as follows (50MP 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 71, T2, and the corresponding normal stress. 75 MPa 50 MPa 50 MPa
Expert Solution
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 x direction is σx=-50 MPa.

The stress in x direction is σy=-75 MPa.

The shear stress is τxy=50 MPa.

Formula used:

The radius of the Mohr's circle is,

R=σx-σy22+τxy2

The average shear stress is,

σavg=σx+σy2

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