Cantilever

A cantilever (also cantilever or cantilever ) is in the engineering mechanics, and the structural design a cantilevered, horizontal bar, on which depends a load, that is, a carrier (ie, a component of a structure such as a building), the only has a bearing. He is known as a basic system for static idealization of a simple component. As a bar the length is significantly greater than its height and width.

The cantilever is sometimes subjected to shear, bending, and also torsion.

The support must be a restraint, in which all six degrees of freedom are fixed. The support reactions are three forces and three moments or a bearing force and restraint moment.

A cantilever beam is statically determinate.

The Restraining prevents rotation of the beam around the mounting point. Therefore, no rotation may take place, and also in the support acts a moment ( bending moment ).

Mathematically, the restraint moment is equal to the sum of the moments of all forces acting on the carrier ( instantaneous equilibrium ).

In the simplest case, the moment has to accommodate the dead load of the beam. Equally simple is the case that the carrier is considered to be weightless and at the free end, a force acts.

Basic principle of operation of a cantilever beam:

The stresses in a cantilever beam can be calculated with the Kragträgerverfahren.

More simple static systems: beam on two supports, three-hinged frame.

Historically, the name comes from the extended ridge of the roof of a house on which is attached a rope for the storage of goods in the upper floors.

Swell

• "Introduction to Engineering Mechanics: Statics " by Herbert Balke, published by Springer -Verlag