Q) A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be

  • 400 MPa
  • 500 MPa
  • 900 MPa
  • 1400 MPa
Solution:

Assume stress in X direction(X) = 1200 MPa.

Stress in Y direction(Y) = 600 MPa.

Shear stress(S) = 400 MPa.

Max. Normal stress=(X+Y)/2+Sqrt(((X-Y)/2)square+S square).

= (1200+600)/2 + sqrt(300 square + 400 square).

=1400 MPa

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