ABSTRACT
This chapter presents a systematic debate on possible ways of utilizing the influence function method in computational mechanics. It describes the most traditional applications of this method. The chapter considers the linear bending of elastic Kirchhoff beams, as they undergo various combinations of transverse concentrated and transverse distributed forces as well as bending moments. It also describes the construction procedures for influence functions for a beam of uniform flexural rigidity, with various types of edge conditions imposed. The chapter shows that how influence functions may be utilized for computation of the most important components of a stress-strain state of a beam subjected to various types of loading. The influence function's formalism is further extended to a beam resting on a simple elastic foundation. The chapter concludes how this approach can be adjusted to a beam of variable flexural rigidity.
