What does the law of beams state regarding flexure?

The law of beams indicates that flexure, or bending, increases with the length of the beam. As the length of a beam increases, the moments and shear forces acting on it also increase, leading to greater flexural stresses. This is fundamental in structural engineering, as longer beams need to be designed to withstand these increased stresses effectively to avoid failure.

In practical applications, this means that engineers must consider the length of beams when designing structures, as longer spans will generate higher bending moments, necessitating stronger or more substantial materials and designs to ensure stability and safety.

Understanding this principle helps in predicting how different lengths of beams respond under loads, which is crucial in construction and engineering practices.