Question

List at least 3 differences between closed-form and finite-element solutions of structural problems.

Answer 1

Closed form solutions are reached through analytical methods while FEM is a numerical method which is used to make the problem easier but provides an approximate solution.

Closed form solution can only be used for structural problems with relatively simple geometry and boundary conditions. FEM is capable of solving large, complex problems.

Closed-form solution satisfies both differential equations and boundary conditions, simultaneously. FEM uses matrix algebra to solve the system of simultaneous equations.