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Compression springs, wire Ø0.5–1.6, OD 6–16

How do I calculate the rate of a compression spring? · Hardware · basis: Helical compression spring with closed ends; rate k = G d⁴ / (8 D³ n), D = OD − d

Long Earth Society build part. Pawl returns, diaphragm bias and belt tensioners on the LES rigs. The engines

Exact dimensions. Every file is drawn at true size with no printing tolerance. The holes and pins that meet another part are listed below under Mating features, with the fit each joint needs; open those by your printer's or process's clearance before making the part. Mating features

sizes
5 in table

Notes

  • Envelopes at exact wire Ø, OD, ID (OD − 2 × wire) and free length, with closed (flat-ring) ends.
  • Rate k = G d⁴ / (8 D³ n): G the shear modulus of the wire, d the wire Ø, D the mean coil Ø (OD − d), n the active coils. Halving the coils doubles the rate.
  • Spring index D/d between 4 and 12 is makeable, 6–9 comfortable; these are 9 except the 0.5 × 6 at 11.
  • Solid height is about (n + 2) × d; usable deflection about 0.8 × (free length − solid height). A pocket for one is drawn at the OD and a guide rod at the ID (see Mating features).

Sizes

filewire ØODIDfree lengthcoilsindex D/d
compression-d0.5-od6-l200.565.020811.0
compression-d0.8-od8-l250.886.425109.0
compression-d1-od10-l301.0108.030109.0
compression-d1.2-od12-l401.2129.640129.0
compression-d1.6-od16-l501.61612.850109.0

Mating features

Drawn at the exact size. Open press, slide, run and socket features by your process's clearance; leave designed gaps and clamp fits as drawn.

featureexactmates withfitfiles
spring ODOD (6–16)pocket of the same Øsocketall
spring IDOD − 2 × wireguide rod or arbor of the same Øsocketall

Where the files are

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

WikipediaSpring (device)webCC BY-SA 4.0 (text)
McMaster-CarrCompression springs (free STEP per part, for your own design use; no redistribution)STEP, PDFMcMaster-Carr site terms verify
Lee SpringSpring design formulaswebLee Spring site verify
Long Earth SocietyEngine and rig buildsweb, videoLES site

Free files

★ Free files 5 parts. Generated by Xem Studio from the standard; threads are plain cylinders at major diameter. CC BY 4.0. index.json

compression-d0.5-od6-l20compression spring envelope: wire Ø0.5, OD 6, ID 5, 20 mm free length, closed ends, 8 coilsSTEP · STL
compression-d0.8-od8-l25compression spring envelope: wire Ø0.8, OD 8, ID 6.4, 25 mm free length, closed ends, 10 coilsSTEP · STL
compression-d1-od10-l30compression spring envelope: wire Ø1.0, OD 10, ID 8, 30 mm free length, closed ends, 10 coilsSTEP · STL
compression-d1.2-od12-l40compression spring envelope: wire Ø1.2, OD 12, ID 9.6, 40 mm free length, closed ends, 12 coilsSTEP · STL
compression-d1.6-od16-l50compression spring envelope: wire Ø1.6, OD 16, ID 12.8, 50 mm free length, closed ends, 10 coilsSTEP · STL

Plain text: sheet.txt · JSON: /api/geometry?object=compression-springs

Compression springs, wire Ø0.5–1.6, OD 6–16, isometric render of a generated part
Render of compression-d1-od10-l30 from the free STEP; not to scale.

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Questions

How do I calculate a compression spring rate?

k = G·d⁴ / (8·D³·n), with d wire Ø, D = OD − d, n active coils, G the wire's shear modulus.

What is the solid height?

About (coils + 2) × wire Ø: the 10-coil, 1.0 wire, 30 long spring is about 12 mm solid.