# Angle of deflection of a uniformly loaded cantilever beam

## Description

In engineering, deflection is the degree to which a structural element is displaced under a load. It may refer to an angle or a distance.

The angle of deflection of a uniformly loaded cantilever beam ( at the free end) can be calculated by the uniform load on the beam (force per unit length) and the length of the beam .

## Variables

ϕ_{B} | Angle of deflection (in radians) (dimensionless) |

q | Uniform load on the beam (force per unit length) (N/m) |

L | Length of the beam (m) |

E | Modulus of elasticity ( Young's modulus) (Pa) (Pa) |

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