Mohr's Circle does y-axis = max strain or max strain/2?

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SUMMARY

The discussion centers on the interpretation of Mohr's Circle in relation to strain and stress. It clarifies that in the context of mechanics of materials, the radius of Mohr's Circle represents the maximum shear strain, while the application lab context may refer to the maximum strain divided by two. The confusion arises from the different axes used in plotting Mohr's Circle, where one uses normal strain and shear strain, while the other uses shear stress and normal stress. The correct equations for normal and shear strain on a specified plane are derived from the principal strains in the x and y directions.

PREREQUISITES
  • Understanding of Mohr's Circle
  • Knowledge of principal strains
  • Familiarity with normal and shear strain equations
  • Basic mechanics of materials concepts
NEXT STEPS
  • Review the derivation of Mohr's Circle equations for strain and stress
  • Study the differences between normal strain and shear strain
  • Explore applications of Mohr's Circle in engineering problems
  • Learn about principal stresses and their relationship to Mohr's Circle
USEFUL FOR

Students and professionals in mechanical engineering, particularly those studying mechanics of materials and applying Mohr's Circle in lab settings.

claraberner
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This isn't a problem assignment per-say, but for a lab calculation. In my mechanics of material's class, we learned that the radius of Mohr's circle is the maximum strain, but now in my application lab-based class, the video is saying the radius is equal to the maximum strain divided by 2. So which one is correct? Is there perhaps a different circumstance for theoretical verses application?
 
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What are your equations for the normal strain and shear strain on a specified plane, given the principal strains in the x and y directions
 
Chestermiller said:
What are your equations for the normal strain and shear strain on a specified plane, given the principal strains in the x and y directions
Hello, I think I figured it out: one mohr's circle is plotted with x being normal strain and y being shear strain, and the other plot is the one I am used to: the shear stress on the y-axis and normal stress on the x-axis. So now all the equations make sense to me.
 

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