Involute Gear
An involute gear is defined by module or diametral pitch, pressure angle and tooth count. Use the working calculator to get pitch, base, tip and root diameters, tooth thickness, undercut warning and a DXF tooth profile.
Calculator path
- 1 Involute gear calculator Primary page for the main search intent.
- 2 Generate gear DXF Supporting formula or reference page.
- 3 Involute gear geometry guide derivation for pitch, base, tip and root circles.
- 4 Gear module calculator module, diametral pitch and circular-pitch conversion.
- 5 Gear mesh force calculator tangential, radial and axial tooth loads after geometry.
Core involute geometry
Pitch diameter comes from module and tooth count. The involute flank is generated from the base circle, which is the pitch circle projected by pressure angle.
d = m * z; db = d * cos(alpha)
Tooth depth and undercut
Standard full-depth spur gears use addendum near one module and dedendum near 1.25 modules. Low tooth counts can undercut unless profile shift is applied.
da = d + 2m; df = d - 2.5m
DXF workflow
Use the calculator when you need both numeric dimensions and a sampled involute tooth outline for CAD/CAM export.
Frequently asked questions
What is an involute gear?
It is a gear whose tooth flank follows an involute of a base circle, which keeps the pressure angle consistent through mesh.
Can I export the gear profile?
Yes. The involute gear calculator and gear generator both provide DXF-oriented profile workflows.
Related pages
- Involute gear calculator - working module, DP, pressure-angle and DXF profile calculator.
- Involute gear geometry guide - derivation for pitch, base, tip and root circles.
- Gear generator - standalone spur-gear profile and DXF workflow.
- Gear module calculator - module, diametral pitch and circular-pitch conversion.
- Gear mesh force calculator - tangential, radial and axial tooth loads after geometry.