The 'von Mises yield criterion' for steel is given by:
Choose the correct answer
Yield when maximum stress equals fy
σe = √(σx²-σxσy+σy²+3τxy²) — yield when equivalent von Mises stress reaches fy; relevant for biaxial/combined stress
Yield when shear stress reaches 0.5fy
Only applicable to concrete, not steel
Correct Answer
B. σe = √(σx²-σxσy+σy²+3τxy²) — yield when equivalent von Mises stress reaches fy; relevant for biaxial/combined stress
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Von Mises: σe² = σ1²+σ2²+σ3²-σ1σ2-σ2σ3-σ3σ1 = (1/2)[(σ1-σ2)²+(σ2-σ3)²+(σ3-σ1)²]. 2D: σe = √(σx²-σxσy+σy²+3τxy²). Yield when σe = fy. Represents constant distortional strain energy. More accurate than Tresca for ductile metals. In structural steel biaxial: relevant for base plates, shear + normal interaction. IS 800 uses beam-column interaction equations based on similar principles.
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