Von Mises Stress Calculator

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Plane stress applies to thin plates or surface elements. Principal stresses skip shear by rotating to the principal frame. Full 3D tensor is the most general case.
All stress inputs and the yield strength must share this unit.
Normal stress component in the x-direction.
MPa
Normal stress component in the y-direction.
MPa
In-plane shear stress on the x face acting in the y direction.
MPa
Enter the uniaxial yield strength of your material to get the utilization ratio and factor of safety. Leave at 0 to skip this check.
MPa
Von Mises stressWell within safe limits
117.9MPa

Equivalent stress - compare to yield strength to predict yielding

Utilization ratio0.472
Factor of safety2.12
Yield predictionNo yield (FoS = 2.12)
0.472 utilization
Well within limits<0.6Moderate0.6-0.85Near yield0.85-1Yielding1+

Von Mises stress is 117.90 MPa - material is safe against yielding.

  • Computed from plane stress inputs using the distortion energy (von Mises) criterion.
  • Utilization is 47.2% - the factor of safety is 2.12.
  • The von Mises criterion is well-suited to ductile metals. For brittle materials, the maximum principal stress (Rankine) criterion is more appropriate.

Next stepThis is a first-principles check. For final design, validate with FEA and include material variability and dynamic load factors in your safety factor.

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