ABSTRACT

In Chapter 5, we discussed three different methods of obtaining the deflection of a beam: two successive integrations, superposition, and area-moment. Other deflection methods are available in the literature that, in some ways, may present advantages over the methods developed in Chapter 5. Two such methods are discussed in this chapter, namely, the method of singularity functions and the energy method known as Castigliano’s second theorem. The problem of determining beam deflections under unsymmetric loading conditions and the impact loading of beams are also discussed.