Nowadays, the subject of Structural mechanics deals with problems of elastic deformational system such as determination of internal forces, displacement; determination of stability parameters and natural
frequencies that help determine internal forces and displacement of the system subjected to dynamic loading. However, if only the traditional methods and manual calculations are applied, it will be difficult to solve problems with complicatedness in geometry and loading. In the paper, the author introduces how to apply matrix algorithms to solve problems and perform calculations on the MathCad programming software, this helps to solve various complex problems with understanding of traditional method.