Timoshenko beam theory

Timoshenko beam theory is a method used in engineering to analyze how beams (long, slender structures) bend and deform under loads. Unlike simpler theories that assume beams are perfectly rigid, Timoshenko's approach considers both bending and shear deformations, making it more accurate for short beams or materials that don't behave rigidly. This theory helps engineers design safer and more efficient structures by providing a clearer understanding of how different forces affect beams in real-world applications, such as bridges or buildings. It combines mathematical principles with physical behavior to predict structural performance better.