Multiple choice

In a two dimensional stress analysis, the state of stress at a point is shown below. If s = 120 MPa and t = 70 MPa, then sx and sy are respectively

  1. 26.7 MPa and 172.5 MPa

  2. 54 MPa and 128 MPa

  3. 67.5 MPa and 213.3 MPa

  4. 16 MPa and 138 MPa
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A Correct answer
Explanation

Using Mohr's circle, the center is at (sx + sy)/2 and the radius is sqrt(((sx - sy)/2)^2 + t^2). Given the state of stress and the provided values, the principal stresses can be calculated, or the equations for stress transformation can be applied to solve for sx and sy.

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