# Bending moments at any point along the span of a cantilevered beam with the free end supported on a roller

## Description

A cantilever is a beam anchored at only one end. The beam carries the load to the support where it is forced against by a moment and shear stress. A bending moment is the reaction induced in a structural element when an external force or moment is applied to the element causing the element to bend. The bending moment at any point along the span of a cantilevered beam with the free end supported on a roller can be calculated by the uniform load on the beam (force per unit length) and the length of the beam.

Related formulas## Variables

M_{x} | The bending moments at the point x (N*m) |

q | Uniform load on the beam (N/m) |

L | Length of the beam (span) (m) |

x | Point along the span of the beam (m) |