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Conoid (curved cone) pulley Ø24–Ø56 × 64, profile for constant open-belt length at 110 mm

Why are some speed cones curved? · Modern device · basis: Xem Studio design following Brown's figure (1868); true size, no printing allowance

Also called: conoid pulley, curved cone pulley, speed cone, polea conoide, Kegelscheibe mit gewölbtem Profil

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

length
71.26 mm
width
71.26 mm
height
64.0 mm

Notes

  • A pair of these, mounted head to tail 110 mm apart, keeps an open belt at exactly the same length wherever it runs: the generatrix is r(z) = (s + 2g)/2 with g = (z − 32)/4 and s chosen so 2√(C² − d²) + πs + 2d·asin(d/C) stays 2C + 40π (d = −2g).
  • The curve bulges up to 8.37 mm outside a straight cone near the ends; a flat belt touches it on its centre line.
  • Xem Studio design following Brown's figure; true size, no printing allowance (apply your own to the mating features).

Conoid (curved cone) pulley Ø24–Ø56 × 64, profile for constant… size chart

dimensionvalue
diametersØ24 → Ø56
length64 mm
profileexact constant-belt-length curve for C = 110
boreØ8

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. 10: 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

conoid-pulley-24-56x64-bore8pulley, axis Z, small end at z = 0STEP · STL
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Plain text: sheet.txt · JSON: /api/geometry?object=conoid-pulley-24-56x64-bore8

Conoid (curved cone) pulley Ø24–Ø56 × 64, profile for constant open-belt length at 110 mm, isometric render of a generated part
Render of conoid-pulley-24-56x64-bore8 from the free STEP; not to scale.

Fits with

Questions

Why are some speed cones curved?

A pair of these, mounted head to tail 110 mm apart, keeps an open belt at exactly the same length wherever it runs: the generatrix is r(z) = (s + 2g)/2 with g = (z − 32)/4 and s chosen so 2√(C² − d²) + πs + 2d·asin(d/C) stays 2C + 40π (d = −2g).