ISO 21771-2:2025Published

Cylindrical involute gears and gear pairs — Part 2: Calculation and measurement of tooth thickness and backlash

Roues dentées et engrenages cylindriques en développante de cercle — Partie 2: Calcul et mesurage de l'épaisseur de dent et du jeu de battement

A new edition is under development: ISO/CD 21771-2.

Abstract / scope

This document establishes the calculation procedures for determining specification limits for external and internal cylindrical involute gearing with constant gear ratio when the desired tooth thickness is known. It also shows the relationships between backlash and the tooth thickness, centre distance, and tooth deviations in a pinion and gear mesh.

This document applies to the following types of gears:

—     external and internal parallel axis cylindrical involute spur and helical gears;

—     involute worms and crossed axis gears;

—     spur and helical racks;

—     involute spur and helical sector gears.

The formulae in this document apply to gears of all sizes and materials, and to all manufacturing methods.

This document does not provide guidance on selecting the tooth thickness or the tolerance on the thickness.

Life cycle

Replaced by

ISO/CD 21771-2Under developmentCylindrical involute gears and gear pairs — Part 2: Calculation and measurement of tooth thickness and backlashInternational Standard · ISO/TC 60/SC 1