PARAMETRIC · 3D · STEP / STL / 3MF
Rack m=1.5 · 20TRACK GEAR
Free STEP, STL and 3MF download of a rack m=1.5 · 20T with live 3D preview. Key dimensions: Circular pitch 4.712 mm, Rack length 94.25 mm, Pitch-line height 9.50 mm, Whole depth 3.38 mm. Every parameter stays adjustable, and you can send it straight to Orinovate for printing.
- ProfileISO 53 basic rack
- Pressure angle14.5° / 20° / 25°
- OutputSTEP · STL · 3MF · DXF
Drag to rotate · scroll to zoom · right-drag to pan
CALCULATED · SPEC
AUTO-COMPUTED
p
4.712mm
Circular pitch
L
94.25mm
Rack length
hp
9.50mm
Pitch-line height
h
3.38mm
Whole depth
s/rev
4.712mm
Travel per tooth
HOW-TO
How to generate a rack STEP / STL file
- 1Enter the module (same as the spur gear) and tooth count.
- 2Set the overall height and face width.
- 3For 3D printing, add backlash.
- 4Download STEP, STL or 3MF — or send it to Orinovate.
What is a rack?
A rack is a gear with an infinite pitch radius, so its flanks are straight. Meshing with a pinion converts rotation into linear motion — used in CNC machines, 3D printers, linear stages and steering.
Specs at default parameters
| Parameter | Value | Range |
|---|---|---|
| Module (m) | 1.5 mm | 0.3–10 |
| Teeth | 20 | 1–300 |
| Overall height (H) | 11 mm | 1–200 |
| Face width (b) | 9 mm | 0.5–100 |
| Pressure angle (α) | 20° (standard) | 20° (standard) / 14.5° / 25° |
| Backlash | 0 mm | 0–0.5 |
| Circular pitch (p) | 4.712 mm | — |
| Rack length (L) | 94.25 mm | — |
| Pitch-line height (hp) | 9.50 mm | — |
| Whole depth (h) | 3.38 mm | — |
| Travel per tooth (s/rev) | 4.712 mm | — |
Popular rack sizes
FAQ
How do I pair a rack with a gear?
Module and pressure angle must match. The pitch circle touches the pitch line, so gear centre to rack base = (H − m) + m·z/2.
How far does the rack travel per gear revolution?
Travel = π × m × z. A m1, 20-tooth pinion moves the rack about 62.83 mm per turn.
What if I need a very long rack?
Generate it in segments with whole tooth counts; the pitch stays continuous when butted together.
Related generators
Related calculators
Related articles
Need a physical part?
Send the model straight to Orinovate's instant quote: FDM, SLA, SLS, MJF, metal printing and CNC, made in Hsinchu, Taiwan.
About STEP / STL / 3MF / DXF
- STEP (.step / .stp, AP214) keeps exact dimensions and surfaces for editing in Fusion 360, SolidWorks or FreeCAD.
- STL and 3MF are triangle meshes that import directly into Bambu Studio, PrusaSlicer or Cura.
- DXF is the top-view 2D outline, ready for laser cutting, waterjet or CNC routing.
- All models are in millimetres at true scale.