CALCULATE WITH CONFIDENCE

Engineering · Machine Design

Gear Geometry and Mesh Workbench Calculator

Calculate standard spur-gear pitch geometry, center distance, pitch-line velocity, rack travel and compound-train speed from entered dimensions.

Engineering · Machine Design

Enter the engineering model

Explicit properties, geometry, units and assumptions
Visual modelSchematic · not to scale
Machine Design: pitch visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.gear mesh and pitch geometryentered dimensions and operating state
The diagram explains the selected relationship only. Dimensions, symbols and proportions are illustrative; use the entered values and stated assumptions for the calculation.

Keep every unit basis, sign convention, property source and idealization consistent. Values stay in this browser.

Engineering calculation result

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Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Choose the analysis mode that matches the physical model before entering values.
  2. Enter properties, geometry, loads, states and coefficients from one consistent unit and sign convention.
  3. Use the intermediate outputs to audit the relationship, then retain the stated idealization before applying it.

Calculation method

Transparent engineering model

Pitch diameter d=mz; center distance=(d₁+d₂)/2; pitch-line velocity=πdn/60; compound speed ratios multiply.

The calculator evaluates only the declared relationship and preserves visitor-entered assumptions rather than selecting materials, factors, components or standards.

Worked example

Worked example

Module 2 mm and 30 teeth give a 60 mm pitch diameter.

Pitch diameter d=mz; center distance=(d₁+d₂)/2; pitch-line velocity=πdn/60; compound speed ratios multiply.

Supported inputs

Precision and limits

Analysis, not approval

Geometric and kinematic arithmetic only. Tooth form, profile shift, interference, backlash, strength, quality and lubrication require maintained design data.

Standards and properties

Material properties, allowable values, load combinations, safety factors, correlations, manufacturer data, codes and jurisdictional requirements are not supplied automatically.

Units and precision

Use one consistent unit basis. Results retain working precision but cannot be more accurate than the entered measurements and properties.

Privacy

Entered engineering values and results stay in this browser and are not sent to analytics or third parties.