# Elastic deflection to an end loaded cantilever beam

## Description

In engineering, deflection is the degree to which a structural element is displaced under a load.

The elastic deflection of a weightless cantilever beam, with an end load, can be calculated (at the free end) by the force acting on the tip of the beam, the length of the beam, the modulus of elasticity and the area moment of inertia.

## Variables

δ_{end} | Elastic deflection (m) |

F | Force acting on the tip of the beam (N) |

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

E | Modulus of elasticity (Pa) |

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