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For that same stress state, the larger principal stress is nearest to

  • A.90 MPa
  • B.50 MPa
  • C.80 MPa
  • D.110 MPa

Answer: A

The principal stresses are \( \sigma/2 \pm \sqrt{(\sigma/2)^2 + \tau^2} = 40 \pm 50 \), giving \( 90 \) MPa and \( -10 \) MPa. Note that a compressive principal stress appears even though the applied direct stress was wholly tensile.

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