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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

Correct answer: 115.5

Solution

By the von Mises criterion, the shear yield stress equals the tensile yield stress divided by sqrt(3): 200/1.732 = 115.5 MPa. The stored 141.4 (which is 200/sqrt(2)) is wrong; the answer is 115.5 MPa.

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