BuildYour3D logo
BuildYour3D
📤 Upload file 🧩 Create Spare Part 📸 Photo → Relief 🧱 Map → 3D Model

Gear module calculator

Gear module calculator

Determine spur gear module from pitch or outside diameter and tooth count. Useful when measuring unknown gears before modelling or configuring a replacement. Inputs, formula and interpretation are separated so you can verify the result before using it for a configurable part.

Calculate

Determine spur gear module from pitch or outside diameter and tooth count
Inputs: Pitch diameter
Inputs: Number of teeth

Schematic illustration – not to scale.

Gear module calculatorSchematic illustration – not to scale. Pitch diameter, Number of teeth m = d / zm, z, d

Schematic illustration – not to scale.

Formula

m = d / z

The formulas assume standard spur gears with the same module and no profile shift.

Step by step

  1. Enter the measured or planned values with their units.
  2. Check the formula with substituted values in the result area.
  3. Copy the parameters or open a related product for configuration.

Complete worked example

Worked example with typical workshop values: insert the inputs, apply m = d / z and compare the result with the reference table.

23060 mm
14040 mm
32060 mm

Assumptions and limitations

  • The formulas assume standard spur gears with the same module and no profile shift.

Common input mistakes

  • Decimal comma and point are accepted, but do not type units into numeric fields.
  • For gears, the tooth count must be a whole number in practice.

FAQ

Do two gears need the same module?

Yes, meshing spur gears normally require the same module.

Can I manufacture directly from this result?

Use the value as a calculation and configuration aid. Loaded or standards-critical parts need engineering review.

Related products

Simple gearSimple gear

Configure a custom simple gear online and adjust Number of teeth, Specific dimension, Depth and Bore diameter to your application.

Configure productInvolute spur gearInvolute spur gear

Configure a custom involute spur gear online and adjust Module, Number of teeth, Width and Bore diameter to your application.

Configure productCompound involute gearCompound involute gear

Configure a custom compound involute gear online and adjust Module, Number of teeth and Width to your application.

Configure productGear combinationGear combination

Configure a custom gear combination online and adjust Diameter, Specific dimension, Depth and Height to your application.

Configure product

Related calculators

Pitch diameter calculatorCalculate pitch diameter from module and tooth count, with outside diameter, circular pitch and an optional 20° pressure-angle base circle.Gear teeth calculatorFind the theoretical tooth count from module and pitch diameter, then compare the nearest whole-tooth alternatives and their dimensional error.Gear outside diameter calculatorCalculate outside diameter for a standard spur gear with no profile shift, plus pitch diameter, addendum and circular pitch.Gear center distance calculatorCalculate center distance, both pitch diameters and ratio for two external spur gears of the same module, optionally with input speed.Gear ratio calculatorCalculate gear ratio, output speed, theoretical loss-free output torque and rotation direction for a simple gear pair.