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Worm (involute helicoid, ZI), axial module 1.5, 1-start, pitch Ø16 × 40, Ø6 bore

What are the dimensions of a module 1.5, 1-start worm? · Modern device · basis: Xem Studio design following Brown's figure (1868); true size, no printing allowance

Also called: worm, endless screw, involute helicoid worm, ZI worm, tornillo sin fin, Schnecke (Evolventenschnecke)

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

length
19.0 mm
width
19.0 mm
height
40.0 mm

Notes

  • Right-hand involute-helicoid (ZI) worm: axial module 1.5, 1 start, pitch Ø16, lead 4.71 mm, lead angle γ = atan(m z₁ / d₁) = 5.36°, normal module 1.49, normal pressure angle 20°; tip Ø19, root Ø12.25 (addendum m, dedendum 1.25 m), thread thickness πm/2 on the pitch cylinder.
  • Every transverse section is an involute of the base cylinder Ø3.97 (rb = r₁ cos αt, tan αt = tan 20° / sin γ, αt = 75.62°), swept helically along the 40 mm length (8.49 turns): the flank is an exact involute helicoid, the surface of a helical gear with 1 tooth, so it meshes conjugately with any involute helical gear of normal module 1.49 on crossed axes.
  • Xem Studio design following Brown's figure; true size, no printing allowance (apply your own to the mating features).

Worm (involute helicoid, ZI), axial module 1.5, 1-start, pitch Ø16 ×… size chart

dimensionvalue
axial module1.5
starts1
pitch Ø16 mm
lead4.71 mm
lead angle5.36°
normal module1.49
tip / root Ø19 / 12.25 mm
length40 mm
boreØ6

Where the files are

Other publishers' files are linked, not hosted. "verify" = check the license at the link before commercial use.

Henry T. Brown (1868, public domain)Five Hundred and Seven Mechanical Movements — scan on archive.orgwebPublisher's page; dimensions are facts
507movements.comBrown's movement No. 31: figure, his text and an animationwebPublisher's page; dimensions are facts
Xem StudiodrawingwebPublisher's page; dimensions are facts

Free files

★ Free files 1 parts. Xem Studio design: free to use, print and sell things from; not to be republished as files. Xem Studio Design License. index.json

worm-zi-m1-5-1start-d16-l40-bore6worm, axis Z, z 0..40, a thread centred on +X at z = 0STEP · STL
Let your AI pull this. Add https://xemstudio.com/mcp to Claude, ChatGPT, Cursor or any MCP client (free, no account, one minute) and it can look up exact sizes, mating fits and free STEP/STL from every chat.
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Plain text: sheet.txt · JSON: /api/geometry?object=worm-zi-m1-5-1start-d16-l40-bore6

Worm (involute helicoid, ZI), axial module 1.5, 1-start, pitch Ø16 × 40, Ø6 bore, isometric render of a generated part
Render of worm-zi-m1-5-1start-d16-l40-bore6 from the free STEP; not to scale.

Fits with

Worm and worm wheel, module 1.5, 1-start, 30 : 1, isometric render of a generated part
Worm and worm wheel, module 1.5, 1-start, 30 : 15 sizes★ 1 file

Questions

What are the dimensions of a module 1.5, 1-start worm?

Right-hand involute-helicoid (ZI) worm: axial module 1.5, 1 start, pitch Ø16, lead 4.71 mm, lead angle γ = atan(m z₁ / d₁) = 5.36°, normal module 1.49, normal pressure angle 20°; tip Ø19, root Ø12.25 (addendum m, dedendum 1.25 m), thread thickness πm/2 on the pitch cylinder.