// multi-utility computation suite · offline · instant · precise
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sci.Hertz-contact-cylinder-flat Calculator
Calculates Hertz contact half-width and peak pressure for a cylinder-on-flat contact: a = √(4FR/πE*) and p₀ = F/(πa) per unit length. Cylinder-flat contact arises in roller bearings and gear teeth — peak pressure can exceed 1 GPa even for moderate loads due to the narrow contact strip.
Inputs
F N M
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
R M
Distance from centre to edge of a circle. Radius = diameter / 2.
E1 Gpa
Reference formula or conversion factor shown for context.
Nu1
Reference formula or conversion factor shown for context.
E2 Gpa
Reference formula or conversion factor shown for context.
Nu2
Reference formula or conversion factor shown for context.
Results
contact half-width a (µm)
The computed width.
peak contact pressure p₀ (MPa)
Sample size or count used in the calculation.
maximum shear stress τ_max (MPa)
The largest value in the dataset or feasible range.
a = √(4FR/πE*)
Reference formula or conversion factor shown for context.
E* reduced modulus (GPa)
Reference formula or conversion factor shown for context.
fatigue risk
Overall risk level based on the computed score or classification. Higher risk may call for mitigating actions or additional review.