ABSTRACT

The finite element method is a well-established method of analysis extensively used in all disciplines of engineering. This chapter provides an introduction to the method for the analysis of structures. The derivations presented deal with simple finite elements consisting of line elements describing two common beam models, namely the Euler-Bernoulli beam and the Timoshenko beam, readily available in some of the most common finite element analysis software. In this manner, we will cover some of the key aspects involved in a finite element derivation and analysis, while minimising the complexity of the numerical model. For the derivation of more refined and advanced elements, reference should be made to textbooks dedicated to the finite element method.