Parametric Linear Rack & Pinion .DXF + .STL CAD Studio
Generate conjugate involute pinion gears and linear trapezoidal racks with exact mm-per-revolution linear travel, thrust force, and CNC/3D-print exports. Computes linear travel pi*m*N1 per pinion revolution and generates zero-interference rack-and-pinion profiles for CNC routers and linear actuators.
Parametric Engineering Inputs ISO 53 / ANSI B29.1
Differential-Geometry CAD Standards & CNC Export Layers
| Transmission / Sheet Mode | Governing Mathematical Law | AutoCAD R12 .DXF Layers | 3D Binary .STL / 1:1 PDF |
|---|---|---|---|
| Mode 1 · Involute Spur & Rack | x = rb(cos t + t sin t), y = rb(sin t - t cos t), ε_α > 1.20 | INVOLUTE_CUT, PITCH_CIRCLE, BORE_KEYWAY | 4–40mm Face + Hub Boss + D/Key/Hex Bore |
| Mode 2 · Epicyclic Planetary | Zr = Zs + 2·Zp & (Zs + Zr) / Np ∈ ℤ | Sun, N× Planets, Internal Ring & Carrier Circle | Watertight Sun/Planet Manifold STL |
| Mode 3 · ANSI / ISO Sprocket | ANSI B29.1 Ri = 0.5025·Dr + 0.038mm, A = 35°+60°/N | #25 #35 #40 #41 #50 #60 420 520 08B | Plate Thickness + Hub Boss + Bolt Circle |
| Mode 4 · K-Factor & Coping | BA = θ(R + K·T) & 3D Cylinder Saddle Intersection | Flat Blank, Bend Lines, Cone Sector, Coping Wrap | 1:1 Actual-Size PDF w/ 100.00mm Scale Bar |
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