# Lead screw and nut-slide (rotation to straight travel), Tr10×2

> How does a lead screw move a slide?

- Category: Mechanisms › Screws
- Kind: Hardware
- Basis: Xem Studio design following Brown No. 103 (1868)
- Page: https://xemstudio.com/objects/lead-screw-and-slide-mechanism/ · JSON: https://xemstudio.com/api/geometry?object=lead-screw-and-slide-mechanism · Plain text: https://xemstudio.com/objects/lead-screw-and-slide-mechanism/sheet.txt
- License: dimension sheet CC BY 4.0 (Xem Studio); files Xem Studio Design License (free to use and sell from, not to redistribute as files: https://xemstudio.com/license/)
- Use in every chat: add https://xemstudio.com/mcp as a connector (https://xemstudio.com/use-with-ai/)

**Exact dimensions.** True size, with no printing tolerance added.

## Notes

- A screw held axially in two bearings turns; a nut that cannot turn (its foot runs in a rail slot) must then travel along the screw: 2 mm per turn for a Tr10×2 thread. Either direction of rotation gives the opposite travel.
- Travel per turn = lead; force gain (ideal) = 2π × lever radius / lead, 2π × 40 / 2 = 126 with the 80 mm tommy bar; the 30° trapezoidal thread is self-locking at this lead angle (3.6°).
- Brown's No. 103 (rectilinear motion of a slide by the rotation of a screw): the carriage feed of lathes, slides and stages. Basic-profile thread drawn engaged, no allowance.
- Parts (each has its own page): lead-screw-tr10x2-l80-journals-6, nut-slide-tr10x2-16x24-rail-foot, lead-screw-frame-120-tr10x2, tommy-bar-6x80.
- Brown's movement No. 103 (1868) shows it; this model is a Xem Studio design following his figure, every part at true size.

## Sizes

| parameter | value |
|---|---|
| thread | Tr10×2 |
| travel per turn | 2 mm |
| slide travel | ≈ 60 mm |
| lever | 80 mm tommy bar |

## Where the files are

- Henry T. Brown (1868, public domain): [Five Hundred and Seven Mechanical Movements — scan on archive.org](https://archive.org/details/fivehundredseven00browiala) — web — Publisher's page; dimensions are facts
- 507movements.com: [Brown's movement No. 103: figure, his text and an animation](https://507movements.com/mm_103.html) — web — Publisher's page; dimensions are facts

## Free STEP/STL (1 parts, Xem Studio Design License, Xem Studio)

Index: https://xemstudio.com/files/hardware/lead-screw-and-slide-mechanism/index.json · license: https://xemstudio.com/files/hardware/lead-screw-and-slide-mechanism/LICENSE.md

- lead-screw-and-slide-mechanism-assembly: [STEP](https://xemstudio.com/files/hardware/lead-screw-and-slide-mechanism/lead-screw-and-slide-mechanism-assembly.step) · [STL](https://xemstudio.com/files/hardware/lead-screw-and-slide-mechanism/lead-screw-and-slide-mechanism-assembly.stl) — Assembled mechanism, all parts placed at one pose (STEP keeps each part separate)

## Questions

**How does a lead screw move a slide?**

A screw held axially in two bearings turns; a nut that cannot turn (its foot runs in a rail slot) must then travel along the screw: 2 mm per turn for a Tr10×2 thread. Either direction of rotation gives the opposite travel.

**How far does the slide move per turn?**

One lead: 2 mm for a single-start Tr10×2 thread.

## Fits with

- [Lead screw Tr10×2, 80 mm thread, Ø6 journals, Ø20 head with Ø6 cross hole](https://xemstudio.com/objects/lead-screw-tr10x2-l80-journals-6/)
- [Nut-slide for Tr10×2, 16 × 24 × 16 with an 8 mm rail foot](https://xemstudio.com/objects/nut-slide-tr10x2-16x24-rail-foot/)
- [Lead-screw frame 120 × 40 with Ø6 bearings 94 mm apart and an 8.2 mm rail slot](https://xemstudio.com/objects/lead-screw-frame-120-tr10x2/)
- [Tommy bar Ø6 × 80](https://xemstudio.com/objects/tommy-bar-6x80/)