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Module Calculator

Calculates raw module from pitch diameter and tooth count, then suggests nearest standard module and recommended diameter.

Module Calculator

Enter pitch diameter (d) and tooth count (z), calculate raw module, and see nearest standard module with recommended diameter.

Active
Raw module m5.000 mm
Pitch (π·m)15.708 mm
Suggested standard m5.000 mm
Suggested diameter (m_std·z)200.00 mm
Standard deviation+0.0 %
Undercut warning (20°)OK

Engineering Diagram

Schematic view based on pitch diameter and tooth count.

Preview

PNG export is report-ready.

Module m = 5.000 mmPitch diameter d = 200.00 mmTooth count zz = 40

Standard module series: 0.5, 0.6, 0.8, 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12, 16, 20. Changing diameter/tooth count updates nearest standard module and corresponding recommended pitch diameter.

Standard Documentation

Gear Module
Scope: What does this tool calculate?

Gear Module performs the core engineering calculation for this tool type and presents results in a traceable format.

Assumptions and Units
  • SI units are the baseline; input unit consistency must be verified by the user.
  • The calculation path is deterministic (same inputs = same outputs).
  • If default material/environment values are used, replace them with project-specific values.
Limits / Boundaries
  • This tool is intended for preliminary sizing and technical checks, not final design approval.
  • When inputs are outside expected ranges, validate input quality before interpreting outputs.
Reference Standard
  • ISO / DIN / VDI references and common engineering handbooks
Validation Example

Validation example

InputExpected Output
Input set: Unit-consistent project valuesExpected output: Tool result is in the same order as standard references

Note: In real projects, run at least one manual check or reference-table comparison.

Version and Update
Version
v0.1.0
Last updated
2026-03-04

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Glossary

Related terms

Terms that share the same concepts as this calculator.

Bending Moment

Mechanical

Bending Moment is a core engineering term. Definition, usage notes, and a practical example.

Buckling

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Buckling is a core engineering term. Definition, usage notes, and a practical example.

Coefficient of Friction

Mechanical

Coefficient of Friction is a core engineering term. Definition, usage notes, and a practical example.

Fatigue

Mechanical

Fatigue is a core engineering term. Definition, usage notes, and a practical example.

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