Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Hooke's Law

Hooke's law - force, elongation and spring constant

Sponsored Links

Hooks law - force to extend or compress spring

The force required to extend or compress a spring can be expressed with Hooke's Law as

F = - k s                                    (1)


F = force (N)

k  = spring constant (N/m)

s = extension or compression distance (m)

Example - Car Suspension

The maximum compression of a car suspension with mass 2000 kg (500 kg on each wheel) shall not exceed 0.1 m.

The force acting on each spring can be calculated using Newton's Second Law

F = (500 kg) (9.81 m/s2)

   = 4905 N

   = 4.9 kN

The required spring constant for the suspension can be calculated with (1) as

k = - F / s

  = - (4905 N) / (- 0.1 m)

  = 49050 N/m

  = 49 kN/m

Note that this is the value for the static load of the car. You may probably at least double the value for handling dynamic forces, potholes and similar.

Hook's Law of Elasticity

In the generalized variation of Hooke's law it states that the strain/deformation of an elastic object or material is proportional to the stress applied to it. It may be expressed mathematically as

σ = E ε                              (2)


σ = stress (Pa)

E = Young's Modulus of Elasticity (Pa)

ε = strain (m/m)   

Sponsored Links

Related Topics

Related Documents

Tag Search

  • en: hookes law force elongation spring constant
  • es: Hookes vigor la ley de elongaci├│n constante el├ística
  • de: hookes Gesetz Kraft Dehnung Federkonstante
Sponsored Links

Search the Engineering ToolBox

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

Translate this page to
About the Engineering ToolBox!


This page can be cited as

  • Engineering ToolBox, (2013). Hooke's Law. [online] Available at: [Accessed Day Mo. Year].

Modify access date.

. .


3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Scientific Online Calculator

Scientific Calculator

3 16

Sponsored Links