KEVOS® MAKEOS · Springs

Square-Wire Compression Spring

What rate, load and stress does this square-wire compression spring have?

Rate, load at working length and torsional stress of a helical compression spring wound from square wire, using the handbook’s square-wire constants.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Wire sidemmSide of the square wire (radial and axial thickness).
Mean coil diametermmMean coil diameter.
Active coilscoilsActive coils.
Shear modulusGPaShear modulus of the wire.
Unloaded (free) lengthmmLength with no load.
Working lengthmmInstalled or working length.
Allowable shear stressMPaAllowable shear stress for the material and duty.

Method and formulas

  1. Deflection F = 5.58 P N D³ ÷ (G a⁴), so rate = G a⁴ ÷ (5.58 N D³) (round wire uses 8 and d⁴).
  2. Uncorrected stress S = P D ÷ (0.416 a³).
  3. Corrected stress uses the Wahl factor reduced by about 4% for square wire.
  4. Example: 3 mm square wire at 20 mm mean diameter gives k = 17.986 N/mm and 269.8 N at 45 mm.

Limitations

  • Square wire keystones (deforms) during coiling; the formulas assume a square section in the coil.
  • Solid length and buckling as for round-wire springs.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check square-wire and die springs
  • Compare square and round wire for the same space
  • Specify a replacement spring

Who it is for

  • Design engineers
  • Spring buyers
  • Toolmakers

What you get

  • Spring rate
  • Load at working length
  • Corrected shear stress
  • Spring index

Interpreting the result

  • Square wire stores more energy than round wire in the same space but costs more.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 304–324. Topic reference; no source tables or recommended settings are reproduced.

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Open the Square-Wire Compression Spring calculator