Finding Major and Minor Strain from Mohr Circle of Stress

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SUMMARY

The discussion centers on calculating major and minor strains from the Mohr Circle of Stress. Participants confirm that Young's Modulus can be utilized to derive strains directly from known stresses without the need to construct a separate Mohr Circle of Strain. It is established that principal strains align with principal stresses, and the distinction between Mohr's Circle for plane stress and plane strain is clarified, particularly regarding the representation of shear strain.

PREREQUISITES
  • Understanding of Mohr Circle of Stress
  • Knowledge of Young's Modulus
  • Familiarity with principal stresses and strains
  • Basic concepts of plane stress and plane strain
NEXT STEPS
  • Research the application of Young's Modulus in strain calculations
  • Study the construction and interpretation of Mohr Circle of Strain
  • Explore the relationship between principal stresses and principal strains
  • Investigate the differences between plane stress and plane strain conditions
USEFUL FOR

Engineers, materials scientists, and students studying mechanics of materials who need to understand the relationship between stress and strain using Mohr's Circle.

mjocalla
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Hey everyone.

Quick question about the Mohr circle.

If I have got the major and minor stress from a Mohr Circle of stress how do you go about finding the major and minor strains?

Can you just use Young's Modulus equation and value for Young's Modulus or will I need to construct Mohr Circle of Strain?

Thanks for any help.
 
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mjocalla said:
Can you just use Young's Modulus equation and value for Young's Modulus or will I need to construct Mohr Circle of Strain?

I don't see why you would construct another Mohr circle. If you have Young's modulus given, and if you know the stresses, you can find the strain.
 
Thanks for your help.

The question I was trying to ask was would the major/minor strain occur when the stress corresponds to the major/minor stress and vice versa?
 
Yes. The principal strains will lie in the same direction as the principal stresses. The only real difference between the Mohr's Circle for plane stress and plane strain is that for the circle in strain, the Y axis (shear strain) is equal to half of the shear strain.
 

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