A Finite Element Solution of the Beam Equation via MATLAB
S Rao. Gunakala, D.M.G. Comissiong, K.Jordan, Alana Sankar

Abstract
The vertical deflection of a simply supported and clamped beam is considered under a uniform load using the finite element method. The problem is solved using homogenous and non-homogenous boundary conditions with various numbers of elements. The governing differential equation is that pre-described by the Bernoulli beam which is a fourth order differential equation. Cubic elements are used as required for continuity. Graphs are presented and discussed for different loads in each case.

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