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Hertzian Contact Stress: Cylinder-on-Cylinder Line Contact Calculator

Easily calculate and compute hertzian contact stress: cylinder-on-cylinder line contact calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
645.2 MPa

Peak Line Contact Pressure (p_0)

Peak Line Contact Pressure (p_0)

645.2 MPa

Contact Strip Half Width Mm

0.21

Max Subsurface Shear Stress Mpa

193.6

Depth Of Max Shear Mm

0.164

Iso Pitting Safety Level

EXCELLENT FATIGUE MARGIN (Within ISO 6336 Allowable Limit)

645.2 — MPa

Calculation Breakdown

  1. Applied FormulaModels line contact mechanics between rolling cylinders or gear teeth flanks to calculate contact half-width b, maximum Hertzian pressure, and orthogonal subsurface shear.p_0 = \sqrt{\frac{F_N E^*}{\pi R_{\text{eq}} L}}, \quad b = 2 \sqrt{\frac{F_N R_{\text{eq}}}{\pi E^* L}}

Hertzian Cylinder Line Contact Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0161323484645Peak Line Contact Pressure (p_0)

What Is the Hertzian Contact Stress: Cylinder-on-Cylinder Line Contact Calculator?

This tool computes hertzian contact stress: cylinder-on-cylinder line contact calculator with high precision arithmetic.

How Does the Hertzian Contact Stress: Cylinder-on-Cylinder Line Contact Calculator Work?

Models line contact mechanics between rolling cylinders or gear teeth flanks to calculate contact half-width b, maximum Hertzian pressure, and orthogonal subsurface shear.

Hertzian Contact Stress: Cylinder-on-Cylinder Line Contact Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

p0=FNE∗πReqL,b=2FNReqπE∗Lp_0 = \sqrt{\frac{F_N E^*}{\pi R_{\text{eq}} L}}, \quad b = 2 \sqrt{\frac{F_N R_{\text{eq}}}{\pi E^* L}}

Models line contact mechanics between rolling cylinders or gear teeth flanks to calculate contact half-width b, maximum Hertzian pressure, and orthogonal subsurface shear.

How to Use the Hertzian Contact Stress: Cylinder-on-Cylinder Line Contact Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Hertzian Contact Stress: Cylinder-on-Cylinder Line Contact Calculator Example

Input Values:

cylinder1RadiusMm:30
cylinder2RadiusMm:50
effectiveContactLengthMm:40
totalLoadNewtons:8500
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required MPa.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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