ABSTRACT
The finite element method is one of the most powerful methods for solving differential equations, including partial differential equations, which apply over complex shapes, with complex boundary equations. The method requires powerful computers together with the appropriate computer programs. The method can be used for the statics and dynamics of problems in structural and continuum mechanics. The finite elements used in this analysis include the truss and beam elements described in Chapter 19, and also in-plane and out-of-plane plate elements, together with shell and solid elements. The method described here demonstrates how to determine the stiffness matrix of an in-plane triangular plate element. The same method can be used for the more complex problems involving shell and solid elements. Apart from its use for structural analysis, the finite element method can also be used for vibrations, acoustics, electrostatics, magnetostatics, heat transfer, fluid flow, and so on.
