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

Fmax = V/n + V·e/(n·R)
Eccentric load makes far bolts carry much more than the average.
Pbolt group
Bolt Group Max Load schematic

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 VInput parameter
Bolt count nInput parameter
Eccentricity eInput parameter
Max per-bolt FmaxOutput result

How to use

  1. Fill in Total shear V, Bolt count n, Eccentricity e, Bolt circle R in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. 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

ParameterSymbolUnitDefault
Total shear V (N)VN10000
Bolt count nn6
Eccentricity e (mm)emm50
Bolt circle R (mm)Rmm80

Outputs

ResultSymbolUnit
Max per-bolt FmaxFmaxN

Applications

  • Common engineering use cases

FAQ

What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: Fmax = V/n + V·e/(n·R)
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Common engineering use cases