Pitch and length
in- Pitch (p = π·m)
- 0.314
- Number of teeth
- 62
- Toothed length (n·p)
- 19.478
- Left over vs. requested
- 0.207
To join sections, the length must be an exact multiple of the pitch.
Gear racks
Gear rack calculator
From the pitch and the length you need: teeth, exact pitch, heights, where the pinion goes and the DXF of the bar.
Rack data
Straight teeth, ISO 53 profile.
1 System
3 Angle
Units
Full bar, 19.478 in long, with 0.38·m root radius. Starts and ends at the middle of a tooth space so sections can be joined.
Gear rack DP 10 · 62 teeth
Toothed length 19.478 in · α = 20°
Tooth
in- Whole depth (2.25·m)
- 0.225
- Tooth thickness at pitch line
- 0.157
- Top land width
- 0.084
- Pitch line height (from base)
- 0.687
With a 20-tooth pinion
in- Travel per pinion revolution
- 6.283
- Pinion pitch diameter
- 2.000
- Pinion center above the bar base
- 1.687
Material (steel)
- Bar
- 19.478 × 0.787 × 0.787 in
- Bar weight
- 1.55 kg
Frequently asked questions
How far does a rack travel per pinion revolution?
Travel = π · N ÷ DP (or π · m · N in metric). A 10 DP pinion with 20 teeth moves the rack 6.283" per revolution.
Where does the pinion center go relative to the rack?
Above the base of the bar by the pitch line height (overall height minus one addendum) plus the pinion pitch radius (N ÷ DP ÷ 2).
How are two rack sections joined?
Each section must be a whole number of pitches long and cut at the middle of a tooth space. When joining them, use a short piece of rack as a gauge so the pitch stays correct across the joint.