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If the principle stresses on a plane stress problem are S1 = 100 MPa and S2 = 40 MPa then the magnitude of maximum shear stress (MPa) will be:
  • a)
    60
  • b)
    50
  • c)
    30
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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If the principle stresses on a plane stress problem are S1= 100 MPa an...
In case of plane stress problem, Shear stress is
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If the principle stresses on a plane stress problem are S1= 100 MPa an...
Principle Stresses in Plane Stress

In a plane stress problem, the principle stresses represent the maximum and minimum stresses acting on a given plane. The principle stresses are denoted as S1 and S2, where S1 is the maximum principle stress and S2 is the minimum principle stress.

Given:
S1 = 100 MPa
S2 = 40 MPa

Maximum Shear Stress

The maximum shear stress (τmax) can be calculated using the following formula:

τmax = (S1 - S2) / 2

Substituting the given values:

τmax = (100 MPa - 40 MPa) / 2
τmax = 60 MPa / 2
τmax = 30 MPa

Therefore, the magnitude of the maximum shear stress is 30 MPa. Hence, the correct answer is option 'C'.
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If the principle stresses on a plane stress problem are S1= 100 MPa an...
30Mpa
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If the principle stresses on a plane stress problem are S1= 100 MPa and S2= 40 MPa then the magnitude of maximum shear stress (MPa) will be:a)60b)50c)30d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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