# Cantilever Euler Beam - Maximum 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. 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. Maximum displacement of a cantilever Euler beam with a point load at its free end is related to the load on end of the beam, the beam length and the Area Moment of Inertia for beam cross-section.

Related formulas## Variables

w_{max} | Maximum displacement of beam (mm) |

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

L | Beam length (mm) |

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

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