Euler-Bernoulli Beam Theory

A classical one‑dimensional beam theory that relates bending moment to curvature under the assumptions that plane cross‑sections remain plane and perpendicular to the neutral axis after deformation, and that transverse shear deformation and rotary inertia are negligible; it yields the relation M = E I κ for linear‑elastic bending and leads to the Euler–Bernoulli beam differential equations for def