Bearing Engineering Tool
Angular Contact Ball Bearing Axial Load-Displacement Calculator
Estimate the loaded contact angle, axial displacement, and normal ball load of a single-row angular contact ball bearing under a centered static axial load.
Simplified Calculation Results
Main axial load-displacement outputs for quick review.
Simplified vs Hertz Result ComparisonHertz
Advanced mode returns both methods for the same load case.
| Method | α | δa | Q | Kn |
|---|---|---|---|---|
| Simplified | 41.592077 ° | 0.03831822 mm | 1,675.899 N | 422,999.6 N·mm⁻³ᐟ² |
| Hertz | 41.491554 ° | 0.03584364 mm | 1,679.221 N | 469,202.3 N·mm⁻³ᐟ² |
Geometry And Curvature Outputs
Intermediate values used by the load-displacement calculation.
| fi | 0.5232 |
|---|---|
| fe | 0.5232 |
| Total Curvature | 0.0464 |
| Groove Center Distance | 1.031472 mm |
| Equivalent Installed Radial Clearance | 0.48263721 mm |
| Axial Displacement Constant K | 896.7 MPa |
Raceway Contact ResultsContact
Contact ellipse and stress values for inner and outer raceways.
| Raceway | Σρ | f(ρ) | δ* | Kp | a | b | Max Stress |
|---|---|---|---|---|---|---|---|
| Inner raceway | 0.10775158 | 0.92595135 | 0.632133681 | 1,303,206.526 | 2.084572 mm | 0.253422 mm | 1,517.708 MPa |
| Outer raceway | 0.08340131 | 0.904331733 | 0.671901283 | 1,351,742.031 | 2.032393 mm | 0.29249 mm | 1,348.746 MPa |
Load-Displacement Curve PointsCurve
Calculated points from zero load through the entered axial load range.
| Fa | Simple α | Simple δa | Simple Q | Hertz α | Hertz δa | Hertz Q | Hertz Stiffness |
|---|---|---|---|---|---|---|---|
| 0 N | 40 ° | 0 mm | 0 N | 40 ° | 0 mm | 0 N | 469,188.8 N·mm⁻³ᐟ² |
| 2,225 N | 40.41657 ° | 0.00984993 mm | 214.49 N | 40.38917 ° | 0.00919839 mm | 214.611 N | 469,192.5 N·mm⁻³ᐟ² |
| 4,450 N | 40.65517 ° | 0.0155467 mm | 426.896 N | 40.61244 ° | 0.01452355 mm | 427.267 N | 469,194.6 N·mm⁻³ᐟ² |
| 6,675 N | 40.85198 ° | 0.02027665 mm | 637.797 N | 40.7968 ° | 0.0189477 mm | 638.508 N | 469,196.2 N·mm⁻³ᐟ² |
| 8,900 N | 41.0252 ° | 0.02446272 mm | 847.437 N | 40.9592 ° | 0.0228651 mm | 848.561 N | 469,197.7 N·mm⁻³ᐟ² |
| 11,125 N | 41.18241 ° | 0.02828126 mm | 1,055.97 N | 41.1067 ° | 0.02644011 mm | 1,057.568 N | 469,199 N·mm⁻³ᐟ² |
| 13,350 N | 41.32774 ° | 0.03182739 mm | 1,263.505 N | 41.24315 ° | 0.02976136 mm | 1,265.631 N | 469,200.2 N·mm⁻³ᐟ² |
| 15,575 N | 41.46372 ° | 0.03515986 mm | 1,470.126 N | 41.3709 ° | 0.0328836 mm | 1,472.828 N | 469,201.3 N·mm⁻³ᐟ² |
| 17,800 N | 41.59208 ° | 0.03831822 mm | 1,675.899 N | 41.49155 ° | 0.03584364 mm | 1,679.221 N | 469,202.3 N·mm⁻³ᐟ² |
| 20,025 N | 41.71403 ° | 0.04133068 mm | 1,880.88 N | 41.60625 ° | 0.03866778 mm | 1,884.861 N | 469,203.3 N·mm⁻³ᐟ² |
| 22,250 N | 41.83049 ° | 0.0442183 mm | 2,085.117 N | 41.71584 ° | 0.04137563 mm | 2,089.793 N | 469,204.2 N·mm⁻³ᐟ² |
About This Calculator
This calculator helps evaluate axial load and displacement behavior for single-row angular contact ball bearings during preliminary engineering review.
What To Send
Prepare the bearing model, ball count, ball diameter, initial contact angle, groove curvature or groove radius data, and the axial load condition before using the result for RFQ discussion.
Engineering Note
Results are reference calculations. Final bearing selection should account for preload, mounting arrangement, lubrication, operating speed, temperature, and shaft or housing stiffness.