The integrations needed to determine beam deflections require the enforcement of the appropriate displacement and rotation boundary conditions (BCs). It is important that we be able to recognize these ...

Fourth-order boundary value problems (BVPs) constitute an essential class of differential equations where the highest derivative is of fourth order. These equations arise naturally in the mathematical ...

When used in structural engineering, the term deflection refers to load-induced displacement, which typically affects beam designs. It can be an extremely complicated value to calculate when ...