Gear Hertzian Contact Stress Calculator
Caller calibrated gear contact geometry/elastic factor and dynamic load, not generic cylinder contact. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
A nominal gear-contact model combines tangential load with geometry, elasticity and a dynamic factor.
A nominal gear-contact model combines tangential load with geometry, elasticity and a dynamic factor.1
The independently supplied factors determine the result without a complete gear-rating assessment. Use this tool to calculate gear Hertzian Contact Stress from the supplied measurements and assumptions.
When to use Gear Hertzian Contact Stress Calculator
Use this tool to calculate gear Hertzian Contact Stress from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
How to use Gear Hertzian Contact Stress Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter tangentialLoadN, faceWidthM, pitchDiameterM, callerElasticContactFactorSqrtPa, callerGeometryFactor, callerDynamicLoadFactor, using the field meanings and rules below, then run the tool.
- Read nominalGearHertzContactPa. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| tangentialLoadN | Tangential load n | number | Required |
| faceWidthM | Face width m | number | Required |
| pitchDiameterM | Pitch diameter m | number | Required |
| callerElasticContactFactorSqrtPa | Caller elastic contact factor sqrt pa | number | Required |
| callerGeometryFactor | Caller geometry factor | number | Required |
| callerDynamicLoadFactor | Caller dynamic load factor | number | Required |
Enter nonnegative tangential load in N and positive face width/pitch diameter in m, elastic factor in sqrt(Pa), geometry factor and dynamic factor. Compute elasticFactor×sqrt(load×dynamic/(width×diameter×geometry)) in Pa. No installed gear factors, fatigue strength or code rating is supplied.
contactStressPa=elasticFactor×sqrt(Ft×dynamicFactor/(faceWidth×pitchDiameter×geometryFactor)) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| nominalGearHertzContactPa | Nominal Gear Hertz Contact Pa; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"tangentialLoadN": 10,
"faceWidthM": 2,
"pitchDiameterM": 5,
"callerElasticContactFactorSqrtPa": 3,
"callerGeometryFactor": 0.2,
"callerDynamicLoadFactor": 1
},
"output": {
"nominalGearHertzContactPa": 6.708203932499369
}
}Limitations and assumptions
The independently supplied factors determine the result without a complete gear-rating assessment. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Lewis Gear Bending Strength Calculator for this related task: Lewis bending capacity combines allowable stress, face width, module and a tooth-form factor.
Use Elliptical Hertzian Contact Calculator when its separate inputs and assumptions fit the question: Elliptical Hertz contact pressure depends on force and established contact semi-axes.
References
-
Gear Hertzian Contact Stress Calculator — tool.io
Similar or alternative tools
- Lewis Gear Bending Strength Calculator
Lewis bending capacity combines allowable stress, face width, module and a tooth-form factor.
- Elliptical Hertzian Contact Calculator
Elliptical Hertz contact pressure depends on force and established contact semi-axes.