Equivalences to Tension Bar

Abstract

The procedure applied to the one-dimensional tension bar can be used to describe other physical field problems. As examples, we present the one-dimensional torsion bar and the case of one-dimensional heat conduction in a bar. The first part of the chapter treats the torsion bar. First, the basic equations known from the strength of materials will be introduced. Subsequently, the torsion bar will be introduced, according to the common definitions for the torque and angle variables, which are used in the handling of the FE method. The explanations are limited to torsion bars with circular cross-section. The stiffness matrix will be derived according to the procedure for the tension bar. The second part follows a similar approach to elaborate on the hear flux bar.