A beam is a structural element or member designed to support loads applied at various points along the element. Beams make up a structure which is an assembly of a number of elements. Beams undergo displacement such as deflection and rotations at certain important location of a structure such as centre of a bridge or top of a building. I haveanalysed numerically a two dimensional beam equation with one degree of freedom of the form using finite element method. The positive constant has the

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... ng of flexural rigidity per linear mass density, the beam deflection and is the external forcing term. This involved discretization of the beam equation employing Galerkins technique which yields a system of ordinary differential equations.