Spring all-series and all-parallel stiffness calculator

Calculate series stiffness and parallel stiffness with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use series stiffness and parallel stiffness to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Spring stiffnesses (N/mm)
10,20,30
Series stiffness (N/mm)
5.454545
Parallel stiffness (N/mm)
60

Try another scenario

Spring stiffnesses (N/mm)
[11, 20, 30]
Series stiffness (N/mm)
5.73913
Parallel stiffness (N/mm)
61
Calculation method

Calculation method

Series stiffness (N/mm)

Ideal linear springs: parallel stiffnesses add; reciprocals add in series.

Parallel stiffness (N/mm)

Ideal linear springs: parallel stiffnesses add; reciprocals add in series.

Symbols and units
a
Spring stiffnesses (N/mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Ideal linear springs: parallel stiffnesses add; reciprocals add in series. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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