Calculation of contact stress

Hertzian stress and subsurface stresses are calculated for point or line contact. The radii of curvature for two bodies can be given in two planes. An angle between the planes for body 1 and body 2 can be defined. Both line or point contact are considered. The stresses for both properties are the same for equal materials, for different materials they can differ. If you have questions or want a local version of the calculation please contact MESYS AG. A demo version for windows is available here, it has the same inputs but provides additional graphics.
These online calculations are provided free of charge by MESYS AG. The software is tested and no errors are known, but there is no warranty for the correctness of the results and for the availability of the calculations. The usage is at own risk.

Body 1
First radius body 1r11mm
Second radius body 1r12mm
Body 2
First radius body 2r21mm
Second radius body 2r22mm
Effective length for line contactLeffmm
Normal forceFnN
Youngs modulus body 1E1MPa
Youngs modulus body 2E2MPa
Poisson number body 1ν1
Poisson number body 2ν2
Angle between axesα°
First radius body 1r₁₁ 5.0000mm
Second radius body 1r₁₂ 5.0000mm
First radius body 2r₂₁ 5.0000mm
Second radius body 2r₂₂ 5.0000mm
Angle between planes for radiiα₂ 0.00°
Youngs modulus body 1E₁ 210000.00MPa
Poisson number body 1υ₁ 0.30
Youngs modulus body 2E₂ 210000.00MPa
Poisson number body 2υ₂ 0.30
Normal forceFn 100.00N
Hertzian StresspH 3454.40MPa
Major half axis of contact ellipsisa 0.1176mm
Minor half axis of contact ellipsisb 0.1176mm
Approach of both bodiesδ 0.0055mm
Maximal shear stress body 1τMax₁ 1070.93MPa
Depth for max. shear stress body 1z(τMax₁) 0.0565mm
Maximal octahedral shear stress body 1τOctMax₁ 1009.69MPa
Maximal shear stress body 2τMax₂ 1070.93MPa
Depth for max. shear stress body 2z(τMax₂) 0.0565mm
Maximal octahedral shear stress body 2τOctMax₂ 1009.69MPa
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σX
σY
σZ
τMax
τOct
Stresses for body 1
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σY
σZ
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Stresses for body 2

MESYS AG