KEVOS® MAKEOS · Springs

Springs in Series or Parallel

What is the combined rate of these springs, and how is the load shared?

Equivalent rate of up to four springs in series or parallel, with the deflection and load of each spring under a given total load.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
ArrangementchoiceParallel when springs act side by side or nested; series when one pushes on the next.
Rate of spring 1N/mmRate of spring 1 from its data sheet or a test.
Rate of spring 2N/mmRate of spring 2.
Rate of spring 3 (0 = not used)N/mmRate of spring 3, or 0.
Rate of spring 4 (0 = not used)N/mmRate of spring 4, or 0.
Total loadNTotal load on the combination.

Method and formulas

  1. Parallel: k = Σkᵢ; every spring deflects F ÷ k and carries kᵢ × deflection.
  2. Series: 1/k = Σ(1/kᵢ); every spring carries F and deflects F ÷ kᵢ.
  3. Example: 20 and 30 N/mm in parallel give 50 N/mm and 10 mm under 500 N.

Limitations

  • Linear springs within their working range; parallel springs must start loading together (no preload differences).
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Combine springs for a target rate
  • Find load sharing in nested or stacked springs
  • Model mounts and supports

Who it is for

  • Design engineers
  • Spring buyers
  • Maintenance engineers

What you get

  • Equivalent rate
  • Total deflection
  • Load and deflection of each spring

Interpreting the result

  • Check that no individual spring exceeds its own maximum load or deflection.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 304–320. Topic reference; no source tables or recommended settings are reproduced.

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Open the Springs in Series or Parallel calculator