Why is Mohr's circle labeled clockwise and not anticlockwise?

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SUMMARY

Mohr's Circle is labeled in a clockwise direction to maintain consistency with the sign convention used in mechanics, where positive angles are measured counterclockwise. The maximum normal stress is designated at point A due to its geometric representation on the circle, while the minimum stress is at point B. Labeling maximum and minimum stresses at different locations, such as C and D, is incorrect as it contradicts the established definitions and relationships within Mohr's Circle. Understanding these conventions is crucial for accurate stress analysis in materials.

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  • Understanding of Mohr's Circle for stress analysis
  • Familiarity with stress and strain concepts in mechanics
  • Knowledge of coordinate transformations in two-dimensional stress
  • Basic proficiency in mechanics of materials
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  • Study the derivation of Mohr's Circle for two-dimensional stress states
  • Learn about the sign conventions in mechanics and their implications
  • Explore the relationship between principal stresses and Mohr's Circle
  • Investigate applications of Mohr's Circle in failure analysis of materials
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Homework Statement


a.)why the angle θ p is in clockwise direction? why shouldn't it be in anticlockwise direction?

b.) I have labelled A,B ,C and D...Why the maximum normal stress is labelled at location A? while the min stress is labelled at location B?
Can I label the min and max stress at other location? Say, max stress a t C , min stress at D? I don't understand why the the author label the max and min stress in that way...

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The Attempt at a Solution

 
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