What is timoshenko beam?

Timoshenko beam theory is a widely used mathematical model that describes the behavior of beams that are relatively short and thick compared to their span length, and therefore have a higher degree of shear deformation than predicted by classical Euler-Bernoulli beam theory. It was first developed by Stephen Timoshenko, a Ukrainian-American scientist and engineer, in the early 20th century.

The Timoshenko beam model takes into account the effects of both shear deformation and rotary inertia, which are neglected in the classical beam theory. This makes it more accurate for predicting the behavior of beams that are subjected to large shear forces, such as those found in engineering applications.

The main features of a Timoshenko beam include the presence of shear strain and a non-zero shear stress that causes energy to be stored in the shear deformation. The shear correction factor, which relates the shear deformation to the applied shear forces, plays an important role in the Timoshenko beam theory.

Overall, Timoshenko beam theory has become an important tool in modern engineering design and analysis, and is widely used to predict the behavior of structures such as bridges, buildings, and aircraft components.