PARAMETRIC · 3D · STEP / STL / 3MF

Rack m=2 · 50TRACK GEAR

Free STEP, STL and 3MF download of a rack m=2 · 50T with live 3D preview. Key dimensions: Circular pitch 6.283 mm, Rack length 314.16 mm, Pitch-line height 12.00 mm, Whole depth 4.50 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

LIVE · RACK GEAR

m=2 · 50T

SCALE 1:1 · mm

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CALCULATED · SPEC

AUTO-COMPUTED

p

6.283mm

Circular pitch

L

314.16mm

Rack length

hp

12.00mm

Pitch-line height

h

4.50mm

Whole depth

s/rev

6.283mm

Travel per tooth

HOW-TO

How to generate a rack STEP / STL file

  1. 1Enter the module (same as the spur gear) and tooth count.
  2. 2Set the overall height and face width.
  3. 3For 3D printing, add backlash.
  4. 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

ParameterValueRange
Module (m)2 mm0.3–10
Teeth501–300
Overall height (H)14 mm1–200
Face width (b)12 mm0.5–100
Pressure angle (α)20° (standard)20° (standard) / 14.5° / 25°
Backlash0 mm0–0.5
Circular pitch (p)6.283 mm—
Rack length (L)314.16 mm—
Pitch-line height (hp)12.00 mm—
Whole depth (h)4.50 mm—
Travel per tooth (s/rev)6.283 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.

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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.

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