Hertzian Stress Calculator
Expert Guide to Calculating Hertzian Stress
Introduction & Importance
Hertzian stress, also known as contact stress, is crucial in engineering to prevent damage from high contact pressures…
How to Use This Calculator
- Enter the radius of the contact area in millimeters.
- Enter the applied pressure in Pascals.
- Click ‘Calculate’.
Formula & Methodology
The Hertzian stress (σ) can be calculated using the formula:
σ = 0.6 * (P * (1 – ν²)) / (π * R)
where P is the applied pressure, ν is Poisson’s ratio (assumed 0.3 for steel), and R is the radius.
Real-World Examples
Case 1: Steel Ball Bearing
Radius (R) = 5 mm, Pressure (P) = 100 MPa
σ = 0.6 * (100,000,000 * (1 – 0.3²)) / (π * 5) = 127.3 MPa
Data & Statistics
| Radius (mm) | Pressure (MPa) | Hertzian Stress (MPa) |
|---|---|---|
| 5 | 100 | 127.3 |
| 10 | 100 | 63.66 |
Expert Tips
- Always consider the material’s yield strength.
- Use this calculator for initial estimates; finite element analysis may be required for complex cases.
Interactive FAQ
What is Poisson’s ratio?
Poisson’s ratio is a measure of how much a material contracts in the transverse direction when it is stretched in the longitudinal direction.
Learn more about Poisson’s ratio