Engineering Board Exam Reviewer · Strength of Materials · hard

At a point in a stressed body, x = 80 MPa (tension), y = 20 MPa (tension), and xy = 30 MPa. What is the maximum principal stress?

  1. 50
  2. 110
  3. 85.44
  4. 92.43

Answer

D. 92.43

Solution

1 = ( x+ y)/2 + sqrt(((σx-σy)/2)² + xy2) = 50 + sqrt(30² + 302) = 50 + 42.43 = 92.43 MPa.

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