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If the principal stresses in a plane stress problem are σ1 = 100 MPa, σ2 = 40 MPa, the magnitude of the maximum shear stress (in MPa) will be
[2009]
  • a)
    60
  • b)
    50
  • c)
    30
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
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If the principal stresses in a plane stress problem are σ1 = 100...
Maximum shear stress,

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If the principal stresses in a plane stress problem are σ1 = 100...
Maximum shear stress,

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If the principal stresses in a plane stress problem are σ1 = 100...
Calculating Maximum Shear Stress:

Given:
- Principal stress σ1 = 100 MPa
- Principal stress σ2 = 40 MPa

Formula for Maximum Shear Stress:
- Maximum shear stress (τmax) = 0.5 * (σ1 - σ2)

Calculations:
- Maximum shear stress (τmax) = 0.5 * (100 - 40) = 0.5 * 60 = 30 MPa
Therefore, the magnitude of the maximum shear stress in this plane stress problem is 30 MPa. Hence, the correct answer is option 'C'.
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If the principal stresses in a plane stress problem are σ1 = 100 MPa, σ2 = 40 MPa, the magnitude of the maximum shear stress (in MPa) will be[2009]a)60b)50c)30d)20Correct answer is option 'C'. Can you explain this answer?
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