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A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by a simple shear stress of 200 MPa. The maximum shear stress will be?
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A body is subjected to a direct tensile stress of 300 MPa in one plane...
Given:

  • Direct tensile stress = 300 MPa

  • Simple shear stress = 200 MPa



Maximum Shear Stress:

  • The maximum shear stress occurs on a plane that is inclined at 45 degrees to the plane of the direct tensile stress.

  • The maximum shear stress can be calculated using the formula:



Maximum Shear Stress = (Direct Tensile Stress - Shear Stress) / 2



  • Substituting the given values:



Maximum Shear Stress = (300 - 200) / 2 = 50 MPa


Explanation:

  • When a body is subjected to a direct tensile stress and a simple shear stress, the maximum shear stress occurs on a plane that is inclined at 45 degrees to the plane of the direct tensile stress.

  • The maximum shear stress is equal to half the difference between the direct tensile stress and the shear stress.

  • In this case, the direct tensile stress is 300 MPa and the shear stress is 200 MPa. Therefore, the maximum shear stress is (300 - 200) / 2 = 50 MPa.

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A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by a simple shear stress of 200 MPa. The maximum shear stress will be?
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