Gear Module & Pitch

Compute pitch diameter D, addendum da, root df, circular pitch t and centre distance C from module m and teeth Z; also diametral pitch Pd.

Inputs

Formula

D = mZ; da = m(Z+2); df = m(Z-2.5); t = πm; C = m(Z1+Z2)/2; Pd = 25.4/m
rm = 2r / z模数 m = 分度圆直径 d / 齿数 z
Gear Module & Pitch schematic

How to use

  1. Fill in Module m, Teeth Z, Mate teeth Z₂ in the Inputs section (watch the unit on each field).
  2. Click Calculate; the tool evaluates the formula shown above.
  3. Read Pitch diameter, Addendum dia., Root dia., Circular pitch, Centre distance, Diametral pitch in the results area.
Formula notesModule m = d / z (pitch diameter / tooth count); tooth height h ≈ 2.25 m.