Equivalent Static Load
For ball bearings combine radial Fr and axial Fa with coefficients X0, Y0 to get equivalent static load P0.
Inputs
Formula
Fundamentals
For ball bearings combine radial Fr and axial Fa with coefficients X0, Y0 to get equivalent static load P0.
This tool computes Equivalent Static Load from the formula: P0 = X0·Fr + Y0·Fa
History
Design theory of gears, threads and bearings matured with machine tools and standardisation (AGMA, ISO) since the Industrial Revolution.
Engineering applications
Used for transmission design, joint strength checks and component selection.
Glossary
| Radial coeff. X0 | Input parameter |
| Axial coeff. Y0 | Input parameter |
| Radial load Fr | Input parameter |
| Equivalent static P0 | Output result |
How to use
- Fill in Radial coeff. X0, Axial coeff. Y0, Radial load Fr, Axial load Fa in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Equivalent static P0 in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：P0 = X0·Fr + Y0·Fa
输入变量：
- Radial coeff. X0
X0 - Axial coeff. Y0
Y0 - Radial load Fr
Fr— kN - Axial load Fa
Fa— kN
输出结果：
- Equivalent static P0
P0— kN
假设/适用：Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
Worked Example
根据公式 P0 = X0·Fr + Y0·Fa，取 Radial coeff. X0 = 0.6；Axial coeff. Y0 = 0.5；Radial load Fr = 10 kN；Axial load Fa = 4 kN。
代入计算得：Equivalent static P0 = 8 kN。
Key Points
- Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
- Compare stress with allowable stress and keep a safety factor (≥1.5, ≥2 for critical parts).
- For high speed/load also check lubrication, heat and fatigue life, not just static strength.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Radial coeff. X0 | X0 | 0.6 | |
| Axial coeff. Y0 | Y0 | 0.5 | |
| Radial load Fr (kN) | Fr | kN | 10 |
| Axial load Fa (kN) | Fa | kN | 4 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Equivalent static P0 | P0 | kN |
Applications
- Common engineering use cases