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The major and minor principal stresses at a point are 3Mpa and -3Mpa respectively. The maximum shear stress at the point is
- a)Zero
- b)3Mpa
- c)6Mpa
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The major and minor principal stresses at a point are 3Mpa and -3Mpa r...
Maximum shear stress (τ) is given by:
Most Upvoted Answer
The major and minor principal stresses at a point are 3Mpa and -3Mpa r...
Analysis:
Given Data:
- Major principal stress (σ1) = 3 MPa
- Minor principal stress (σ2) = -3 MPa
Formula:
- Maximum shear stress (τmax) = (σ1 - σ2) / 2
Calculations:
- Substituting the given values in the formula:
τmax = (3 - (-3)) / 2
τmax = 6 / 2
τmax = 3 MPa
Conclusion:
The maximum shear stress at the point is 3 MPa (Option B).
Given Data:
- Major principal stress (σ1) = 3 MPa
- Minor principal stress (σ2) = -3 MPa
Formula:
- Maximum shear stress (τmax) = (σ1 - σ2) / 2
Calculations:
- Substituting the given values in the formula:
τmax = (3 - (-3)) / 2
τmax = 6 / 2
τmax = 3 MPa
Conclusion:
The maximum shear stress at the point is 3 MPa (Option B).
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