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.

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)

where

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)

where

σ = stress (Pa)

E = Young's Modulus of Elasticity (Pa)

ε = strain (m/m)   

Related Topics

  • Mechanics

    The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
  • Statics

    Forces acting on bodies at rest under equilibrium conditions - loads, forces and torque, beams and columns.

Related Documents

Search

Search is the most efficient way to navigate 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 older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .

Citation

This page can be cited as

  • The Engineering ToolBox (2013). Hooke's Law. [online] Available at: https://www.engineeringtoolbox.com/hookes-law-force-spring-constant-d_1853.html [Accessed Day Month Year].

Modify the access date according your visit.

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!

Unit Converter

















































6.3.17

.