Principal Stresses Under Pure Shear

EasyMohr's circlepure shear
An element is subjected only to a positive shear stress τxy = 40 MPa. The principal stresses are:
  1. A40 and 0 MPa
  2. B40 and −40 MPa
  3. C80 and 0 MPa
  4. D0 and 0 MPa
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Answer: B. 40 and −40 MPa

For pure shear the circle is centered at the origin with radius τ, so σ1 = +40 MPa and σ2 = −40 MPa, at 45° to the x-axis.
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