# Cantilever Euler Beam - Displacement

## Description

Euler–Bernoulli beam theory (also known as engineer’s beam theory or classical beam theory) is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. It covers the case for small deflections of a beam that is subjected to lateral loads only. 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. The displacement of a cantilever Euler Beam with a point load at its free end is depended on the load on end of the beam, the beam length and the Area Moment of Inertia for beam’s cross-section.

Related formulas## Variables

w_{x} | Displacement (mm) |

P | Load on end of the beam (N) |

x | range variable (mm) |

L | Beam length (mm) |

E | Young's Modulus for beam material (in MPa) (N/mm^{2}) |

I | Area Moment of Inertial for beam cross-section (mm^{4}) |