Manual of Gear Design: Spur and Internal Gears, Volume II
By Earle Buckingham

Involute Trigonometry

Examples and Solutions of General Gear Problems

For involute functions (INV ?) from 0 to 60 degrees, see Section 1, MANUAL of GEAR DESIGN.

Equations of Involute Curve
Tooth Thickness at any Radius
Chordal Thickness

Chordal Addendum
Radius Where Tooth is Pointed
Measurement Over Rolls for Given Tooth Thickness

Tooth Thickness from Measurement Over Rolls

Measurement between Rolls for Given Tooth Thickness, Internal Gear

Tooth Thickness from Measurement between Rolls, Internal Gear
Vernier Measurement for Tooth Thickness

Center Distance between Non-Standard Spur Gears
Center Distance between Spur Gear and Rack
Hobbing Data for Pair of Special Spur Gears

Shaping Data for Pair of Special Spur Gears

Contact Ratio, Spur Gears
Contact Ratio, Spur Gear and Rack
Contact Ratio, Internal Gear Drive

Arc of Approach and Recession, Spur Gears
Arc of Approach and Recession, Spur Gear and Rack
Arc of Approach and Recession, Internal Gear Drive

Undercut Radius, Hobbed Gear
Undercut Radius, Shaped Gear
Height of Undercut, Hobbed Gear

Height of Undercut, Shaped Gear
Height of Fillet, Hobbed Gear

Height of Fillet, Shaped Gear
Fillet Interference, Spur Gears

Tooth Thickness at any Radius, Internal Gear
Center Distance on Special Internal Gear Drive
Shaping Data, Special Internal Gear

Involute Interference, Internal Gear Drive
Height of Fillet, Internal Gear

Interference on Pinion Fillet, Internal Gear Drive
Interference on Internal Gear Fillet
Tip Interference, Internal Gear Drive

Maximum Cutter to Avoid Trimming Internal Gear

Table 4: Maximum Cutter to Avoid Trimming Internal Gear

Table 4: Maximum Cutter to Avoid Trimming Internal Gear, continued
Copyright Eliot K. Buckingham 1999 under license agreement with Books24x7
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