# Elastic deflection at any point along the span of a uniformly loaded cantilevered beam

## Description

In engineering, deflection is the degree to which a structural element is displaced under a load. The deflection at any point along the span of a uniformly loaded cantilevered beam 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.

Related formulas## Variables

δ_{x} | Elastic deflection (m) |

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

x | Distance to the point (m) |

E | Modulus of elasticity (Pa) |

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

L | Length of the beam (m) |