F = k·x

Spring force using Hooke's law

Double deflection doubles force while the spring remains linear.

MINTSI
01

Inputs

Restoring force opposite deflection.

Force change per displacement.

Compression or extension from free length.

02

Result

Select a target and calculate.

Calculation

F = k · x

Double deflection doubles force while the spring remains linear.

Understand the inputs
  • Spring force FRestoring force opposite deflection.
  • Spring rate kForce change per displacement.
  • Deflection xCompression or extension from free length.
Example

1,000 N/m · 0.1 m = 100 N.

Assumptions and limits

Linear spring without hysteresis, buckling or coil bind.

Sources