Finding Major and Minor Strain from Mohr Circle of Stress

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Discussion Overview

The discussion revolves around the relationship between major and minor stress and strain as represented in Mohr's Circle. Participants explore whether Young's Modulus can be directly applied to find strains from known stresses or if a separate Mohr Circle for strain is necessary.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the method to find major and minor strains from the major and minor stresses using Mohr's Circle.
  • Another participant suggests that if Young's Modulus is known, strains can be calculated directly from stresses without constructing a separate Mohr Circle for strain.
  • A follow-up question asks whether the major and minor strains correspond to the major and minor stresses, indicating a need for clarification on their relationship.
  • A participant confirms that principal strains align with principal stresses, noting a distinction in the representation of shear strain in the Mohr Circle for strain.

Areas of Agreement / Disagreement

Participants express differing views on whether a separate Mohr Circle for strain is necessary, indicating that the discussion remains unresolved regarding the best approach to find strains from stresses.

Contextual Notes

Participants do not fully address potential limitations or assumptions regarding the application of Young's Modulus or the conditions under which the relationships hold.

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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