Timoshenko Beam Theory

A beam theory that extends Euler–Bernoulli by including transverse shear deformation and rotatory inertia of cross‑sections, representing bending and shear contributions to deflection and dynamic response; for linear isotropic beams it introduces a shear‑stiffness term (commonly k G A) in addition to bending stiffness EI and accounts for a nonsingular shear strain field across the section.