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

Center of Gravity

A body and the center of gravity.

The "center of gravity" for a volume, an area or a line - is the point at which the body - if suspended - would be in balance.

For a symmetrical body in a uniform material - the center of gravity would be in the geometric center.


Perimeter - center of gravity

The center of gravity is the center of the circle inscribed in triangle ABC (middle points of the sides of the triangle).

The distance d can be calculated as

d = h (b + c) / 2 (a + b + c)                                (1)


Triangle - center of gravity

The center of gravity of a triangle is at the intersection of lines BE and AD. The distance a can be calculated as

a = h / 3                               (2)


Parallelogram - center of gravity

The center of gravity of a parallelogram is at the intersection of the diagonals.


Trapezoid - center of gravity

The center of gravity of a trapezoid can be estimated by dividing the trapezoid in two triangles. The center of gravity will be in the intersection between the middle line CD and the line between the triangles centers of gravity.

Two Bodies

Two bodies - center of gravity

The center of gravity of two bodies can be calculated as

b = Q a / (P + Q)                     (3a)

c = P a / (P + Q)                     (3b)


Q, P = weight or mass of the bodies (N, kg, lb, slugs)

Related Topics

  • Mathematics

    Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
  • Mechanics

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

    Engineering related topics like Beaufort Wind Scale, CE-marking, drawing standards and more.
  • Statics

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

Related Documents


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: .


This page can be cited as

  • The Engineering ToolBox (2008). Center of Gravity. [online] Available at: [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