Threads and gears

Gear tooth micrometerGear tooth micrometer (disc micrometer)

Also called: disc micrometer, span measurement tooth thickness micrometer

Illustration of using a gear tooth micrometer

≡Standards, measuring range and accuracy

Standard
Not confirmed in public sourcesNo standalone standard was found
Measuring range
—Not confirmed in public sources
Resolution / graduation
  • Description Reading the scale is the same as for an outside micrometer
[1]1 source, for reference
Accuracy (instrument error / maximum permissible error)
—Not confirmed in public sources

▦Types

An outside micrometer with disc-shaped measuring faces. Some have rotating discs and some have non-rotating discs

[1][2][3]1 source, for reference

◎Part names and functions

#NameEnglishFunction
1Disc-type anvil and spindle (otherwise the same as an outside micrometer)Disc anvil / spindleContacts the tooth flanks and clamps the base tangent length (span over teeth).[1][2]

◷How to read the scale

  1. Theoretical base tangent length W (spur gear): W = m·cosα·{π(k − 0.5) + z·invα} + 2x·m·sinα (k is the number of teeth spanned)[4][5][1]
  2. Example (Kyoiku table): m = 1, α = 20°, z = 24, x = 0 → k = 3, W = 7.7165 mm[5]
  3. Example (KHK): m = 3, α = 20°, z = 24, x = +0.4 → k = 4, W = 32.8266 mm[4]

✋Usage steps

  1. Measures the base tangent length of spur and helical gears (the distance between two parallel planes touching the outer flanks of k consecutive teeth)[6][3][1]
  2. For helical gears, check that there is enough face width for the measurement (about W·sinβb or more). If not, use the over-pin method[4][5]

✓Care, storage, inspection and calibration

Care and storage

Inspection and calibration

The formulas and examples are shared with the gear database (span_measurement_* and examples in research/gears/formulas.json).

⇄Related instruments

📚Sources

Content without a mark is what agreed across two or more sources from different publishers. Procedures and cautions are summarized in Kezuriba's own words based on the sources, and the diagrams were drawn by Kezuriba. Accuracy values are manufacturers' published figures, not values from JIS tables.

  1. Mitutoyo, "Quick Guide to Precision Measuring Instruments (Catalog No. E11003(7), as of August 2024)"
  2. Mitutoyo, "Mitutoyo Product Fundamentals (Bulletin No. 2180, Mitutoyo America)"
  3. Mitutoyo, "How to Use Micrometers Correctly and Cautions"
  4. KHK (Kohara Gear Industry), "Gear Technical Reference (web version) 5.2 Span Measurement Method"
  5. Kyoiku Gear Industry (KG), "Technical Data (PDF, 176 pages: gear basics, profile shift, contact ratio, tooth thickness measurement, accuracy, calculations for various gears)"
  6. Mitutoyo, "Gear Terms and Definitions of Errors"
  7. Mitutoyo, "Check Points for Measuring Instruments (Catalog No. E12024)"