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 in-plane shear stress?

  1. 42.43
  2. 30
  3. 92.43
  4. 60

Answer

A. 42.43

Solution

max = sqrt(((σx-σy)/2)² + xy2) = sqrt(30² + 302) = 42.43 MPa.

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