# Elastic deflection of a uniformly loaded cantilever beam

## Description

Elastic deflection is the degree to which a structural element is displaced under a load.

The deflection, at the free end, of a cantilevered beam under a uniform load can be calculated by the uniform load on the beam, the length of the beam, the modulus of elasticity and the area moment of inertia.

## Variables

δ_{u} | Elastic deflection (m) |

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

L | Length of the beam (m) |

E | Modulus of elasticity (Pa) |

I | Area moment of inertia (m^{4}) |