Timoshenko Beams and Frames

Abstract

This chapter introduces first the theory to derive the elemental stiffness matrix of Timoshenko beam elements for an arbitrary number of nodes and assumptions for the displacement and rotation fields. Then, the principal finite element equation of such beam elements and their arrangements as plane frame structures are briefly covered. Furthermore, a combination of Timoshenko beam and rod element is introduced as a generalized beam and frame element. Comments on the computer implementation of the corresponding Maxima modules are provided. The chapter includes detailed Maxima examples which allow an easy transfer to other problems.