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Von Mises Stress Calculator

Von Mises equivalent stress from 3D stress components.

Calculate principal stresses, maximum shear stress, and Von Mises equivalent stress for a 2D (plane) stress state, with factor of safety against yielding.

Reference: Von Mises (Distortion Energy) Failure Theory

Von Mises Stress Calculator

Inputs

Results

Principal Stress σ1
112.4MPa
Principal Stress σ2
27.6MPa
Maximum Shear Stress
42.4MPa
Von Mises Equivalent Stress
101.5MPa
Factor of Safety (vs Yield)
2.46

Formula Used

σvm = √(σ1² - σ1σ2 + σ2²)  |  σ1,2 = (σx+σy)/2 ± √[((σx-σy)/2)²+τxy²]
Von Mises (distortion energy) theory is the standard yielding criterion for ductile materials in machine design — generally more accurate than max shear stress theory for most metals.

⚠ For preliminary design and educational use only. Verify all results against applicable codes and standards before use in production or safety-critical applications.

About this calculator

Part of our Mechanical Calculators collection. Beams, bolts, springs, gears, bearings, and core ME calculations.

How it works

Calculates Von Mises equivalent stress from normal stress components (σx, σy, σz) and shear stresses (τxy, τyz, τxz) for 3D stress state yield evaluation.

Enter your values in the inputs above and click CALCULATE. Results appear on the right without a page reload. No login and no server upload.

Privacy and accuracy

Every calculation runs locally in your browser. Your design data never leaves your device. Results are intended for preliminary engineering work. Always verify critical designs with qualified review and applicable standards before production use.

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