![]() ![]() These included elasticity theory, energy principles in structural mechanics, flexibility method and matrix stiffness method. Researchers looked at various approaches for analysis of complex airplane frames. The direct stiffness method originated in the field of aerospace. The direct stiffness method forms the basis for most commercial and free source finite element software. The structure’s unknown displacements and forces can then be determined by solving this equation. The material stiffness properties of these elements are then, through matrix mathematics, compiled into a single matrix equation which governs the behaviour of the entire idealized structure. In applying the method, the system must be modeled as a set of simpler, idealized elements interconnected at the nodes. ![]() The direct stiffness method is the most common implementation of the finite element method (FEM). It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type.
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