Question:
Which of the following is not related to Mohr's circle in three dimensions?
Which of the following is not related to Mohr's circle in three dimensions?
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Mohr’s circle deals only with stress transformation, not material constants.
Updated On: Jun 29, 2026
- Determining principal stresses
- Calculating maximum shear stress
- Visualizing stress on any plane
- Determining elastic modulus
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The Correct Option is D
Solution and Explanation
Concept:
Mohr’s circle is a graphical method used in mechanics of materials to analyze stress transformations. In both 2D and 3D cases, it is used for:
• Determining principal stresses ($\sigma_1, \sigma_2, \sigma_3$)
• Finding maximum shear stress
• Stress transformation on inclined planes However, it does not deal with material properties such as elastic constants.
Step 1: Identify purpose of Mohr’s circle.
Mohr’s circle is purely a stress representation tool. It represents: \[ \sigma_n, \tau \] on different planes.
Step 2: Check each option.
• (A) Principal stresses → directly obtained
• (B) Maximum shear stress → directly obtained
• (C) Stress on any plane → directly obtained
• (D) Elastic modulus → material property, not stress transformation
Step 3: Conclusion.
Elastic modulus is defined as: \[ E = \frac{\sigma}{\epsilon} \] This is unrelated to Mohr’s circle construction. Final Answer: \[ \boxed{\text{Determining elastic modulus}} \]
• Determining principal stresses ($\sigma_1, \sigma_2, \sigma_3$)
• Finding maximum shear stress
• Stress transformation on inclined planes However, it does not deal with material properties such as elastic constants.
Step 1: Identify purpose of Mohr’s circle.
Mohr’s circle is purely a stress representation tool. It represents: \[ \sigma_n, \tau \] on different planes.
Step 2: Check each option.
• (A) Principal stresses → directly obtained
• (B) Maximum shear stress → directly obtained
• (C) Stress on any plane → directly obtained
• (D) Elastic modulus → material property, not stress transformation
Step 3: Conclusion.
Elastic modulus is defined as: \[ E = \frac{\sigma}{\epsilon} \] This is unrelated to Mohr’s circle construction. Final Answer: \[ \boxed{\text{Determining elastic modulus}} \]
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