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GATE 2025 ME – Question 22

Casting, Forming and Joining Processes · Plastic deformation and yield criteria, hot and cold working · 1 mark · Multiple choice

The yield stress of a metal in uniaxial tension is 200 MPa. According to von Mises yield criterion, the yield stress (in MPa) of the metal in pure shear is closest to

  1. 115.5
  2. 100.0
  3. 66.7
  4. 141.4

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Correct answer: (A) 115.5

Explanation

By the von Mises criterion, the yield stress in pure shear is $\frac{\sigma_y}{\sqrt{3}} = \frac{200}{1.732} = 115.5$ MPa.