ABSTRACT

We have seen that a beam is a structural member that resists loads transverse to its longitudinal axis (x-axis) and is supported at different locations along its length. In this chapter, we will present a particular stiffness element, called a beam element, that has been developed for the stiffness analysis of beams. The distinguishing feature of the beam element is its ability to resist moment and shear force. The member is assumed to possess a plane of symmetry and to resist forces applied within this plane of symmetry. It may also resist couples applied about an axis perpendicular to the plane of symmetry. Even if these conditions might appear to be restrictive, they are applicable to a large number of structural members commonly used in real structures.