E = ½kx²

Stored energy in a linear spring

Energy grows with deflection squared; doubling deflection stores four times as much.

MINTSI
01

Inputs

Reversibly stored elastic energy.

Force increase per metre deflection.

Compression or extension from free length.

02

Result

Select a target and calculate.

Calculation

E = ½ · k · x²

Energy grows with deflection squared; doubling deflection stores four times as much.

Understand the inputs
  • Spring energy EReversibly stored elastic energy.
  • Spring rate kForce increase per metre deflection.
  • Deflection xCompression or extension from free length.
Example

½ · 1,000 N/m · 0.1² m² = 5 J.

Assumptions and limits

Linear spring without damping or permanent deformation.

Sources