Sign convention in Mohr's circle

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SUMMARY

The discussion focuses on the sign convention used in Mohr's Circle for stress analysis. Participants confirm that in Mohr's Circle, normal stress (σ) is considered positive when acting to the right, while shear stress (τ) is positive when acting downward. Additionally, the clockwise orientation for angles (θ) is accepted as positive, contrasting with the traditional counterclockwise convention. This clarification is essential for accurately interpreting stress states in engineering applications.

PREREQUISITES
  • Understanding of Mohr's Circle for stress analysis
  • Familiarity with stress and strain concepts in mechanics
  • Knowledge of coordinate systems in engineering
  • Basic proficiency in trigonometry and angle measurement
NEXT STEPS
  • Study the derivation of Mohr's Circle for 2D stress states
  • Explore applications of Mohr's Circle in structural engineering
  • Learn about the implications of different sign conventions in stress analysis
  • Investigate the relationship between shear and normal stresses in various materials
USEFUL FOR

Engineering students, structural analysts, and professionals involved in stress analysis and material mechanics will benefit from this discussion.

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Homework Statement


I doubt that is the following notes (in the first picture), correct or not?
Because i couldn't find any proof in the other book...

Homework Equations

The Attempt at a Solution


Can I say that consider σ positive to right and τ positive downward, orientation (θ) clockwise as positve , rather than counterclockwise is positive ?
 

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