High-order compact finite difference scheme for Euler–Bernoulli beam equation

Abstract

Structures such as buildings and bridges consist of a number of components such as beams, columns, and foundations, all of which act together to ensure that the loadings that the structure carries is safely transmitted to the supporting ground below. The study of the design and deflection of the beam under load play an important role in the strength analysis of a structure. In the present paper, we have applied high-order compact finite difference scheme using MATLAB to approximate the solution of Euler–Bernoulli beam equation which determines the deflection of the beam under the load acting on the beam.