What is bernoulli beam theory?

Bernoulli beam theory is a mathematical model used to describe the behavior of beams and their deflections. It is derived from the laws of mechanics and is based on the assumptions that the beam is long and slender, that its cross-section is constant along its length, and that the material is homogeneous and isotropic.

According to the Bernoulli beam theory, a beam is subjected to three types of forces: bending moments, shear forces, and axial forces. The theory describes the relationship between these forces and the resulting deflection of the beam. It also describes the stresses and strains within the beam.

The Bernoulli beam theory is widely used in engineering and is the basis for designing structures such as bridges, buildings, and aircraft. While it is a useful tool for analyzing simple beam structures, it has limitations when used for more complex structures or when dealing with non-linear material behavior. In these cases, more advanced models, such as the finite element method, may be necessary.