Euler-Bernoulli beam theory

Euler-Bernoulli beam theory describes how beams bend when forces are applied. It assumes the beam remains straight and its cross-section stays the same during bending. The theory relates the bending of the beam to the applied forces, showing that the curvature depends on the load, the material’s stiffness, and the beam’s shape. It is widely used in engineering to predict how structures like bridges, buildings, and aircraft components will deform under loads, ensuring they are safe and effective. This theory simplifies complex behavior into manageable calculations, enabling reliable design and analysis of slender structural elements.