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Lead screw & nut

Linear motion · Screw lead

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How can turning a wheel by hand move a heavy machine table by a hundredth of a millimetre?

A lead screw is a rod with a spiral groove, like a bolt. A nut on the screw is stopped from spinning, so when the screw turns, the nut has to slide along it. Every full turn moves the nut the same small, exact distance.

A lead screw turns rotation into precise linear motion: each revolution advances a non-rotating nut by one lead, so travel = lead × revolutions. The shallow helix that makes this motion fine also makes sliding friction dominant, which is why plain lead screws are often self-locking but rarely more than 30–70% efficient.

Key facts

Travel per turn
Lead L = n × p (n starts, pitch p)
Model screw
Tr 20×4: 20 mm diameter, 4 mm pitch, mean diameter ≈ 18 mm
Model leads
4, 8, 12, 16 mm (1–4 starts)
Trapezoidal thread angle
30° included (Acme: 29°)
Efficiency, sliding lead screw
≈ 20–70% (ball screw ≈ 90–95%)
Self-locking condition
f sec α > tan λ

Parts you can explore (11)

In the 3D model

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