Bolt Group Max Load
For a circular bolt group under direct shear V and eccentricity e, estimate the maximum resultant force per bolt (direct share + moment share).
Inputs
Formula
Fundamentals
For a circular bolt group under direct shear V and eccentricity e, estimate the maximum resultant force per bolt (direct share + moment share).
This tool computes Bolt Group Max Load from the formula: Fmax = V/n + V·e/(n·R)
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
| Total shear V | Input parameter |
| Bolt count n | Input parameter |
| Eccentricity e | Input parameter |
| Max per-bolt Fmax | Output result |
How to use
- Fill in Total shear V, Bolt count n, Eccentricity e, Bolt circle R in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Max per-bolt Fmax in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系:Fmax = V/n + V·e/(n·R)
输入变量:
- Total shear V
V— N - Bolt count n
n - Eccentricity e
e— mm - Bolt circle R
R— mm
输出结果:
- Max per-bolt Fmax
Fmax— N
假设/适用:Gearing/thread formulas assume standard, zero-backlash mounting; include error & load factors K_A.
Worked Example
根据公式 Fmax = V/n + V·e/(n·R),取 Total shear V = 10,000 N;Bolt count n = 6;Eccentricity e = 50 mm;Bolt circle R = 80 mm。
代入计算得:Max per-bolt Fmax = 2,708 N。
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 |
|---|---|---|---|
| Total shear V (N) | V | N | 10000 |
| Bolt count n | n | 6 | |
| Eccentricity e (mm) | e | mm | 50 |
| Bolt circle R (mm) | R | mm | 80 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Max per-bolt Fmax | Fmax | N |
Applications
- Common engineering use cases