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2.7. The principal stresses at a given point are o1 =10 MPa, ơ2=-100 MPa. Sketch Mohr's circle for this state of stress and determine the normal stress on a plane in- clined at an angle 0 to the principal plane 1. Hence find the range of values of 0 for which the normal stress is tensile.

2.7. The principal stresses at a given point are o1 =10 MPa, ơ2=-100 MPa. Sketch Mohr's circle for this state of stress and determine the normal stress on a plane in- clined at an angle 0 to the principal plane 1. Hence find the range of values of 0 for which the normal stress is tensile.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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2.7. The principal stresses at a given point are ơj =10 MPa, ơ2=-100 MPa. Sketch Mohr's circle for this state of stress and determine the normal stress on a plane in- clined at an angle 0 to the principal plane 1. Hence find the range of values of 0 for which the normal stress is tensile.
Transcribed Image Text:2.7. The principal stresses at a given point are ơj =10 MPa, ơ2=-100 MPa. Sketch Mohr's circle for this state of stress and determine the normal stress on a plane in- clined at an angle 0 to the principal plane 1. Hence find the range of values of 0 for which the normal stress is tensile.
Expert Solution
Step 1

Given data:

  • The positive principal stress, σ1=10 MPa.
  • The negative principal stress, σ2=-100 MPa.

The center of Mohr's circle is given as, σavg,0.

Calculate the average stress as follows:

σavg=σ1+σ22=10 MPa+-100 MPa2=-45 MPa

So the center of the Mohr's circle lies at -45 MPa, 0.

 

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