Abstract

Finite element method is a numerical means of finding an approximate solution to a partial differential equation. It’s applications span to almost every area of life, from heat transfer to practical engineering problems. A concrete beam was discretized into nth thousand mesh of 0.5 millimetres. A complex variable function method alongside Green’s theorem were used to transform the discretized beam into a nonhomogeneous governing equation of statics. Thereafter, finite element method was used to determine the forcing term by first finding the weak form of the governing equation. The solution revealed a linear relationship between force and displacement, confirming Hooke’s law. That is, increase in displacement leads to the increase in the forcing component.