Analysis and Design of Elastic Beams
Computational Methods
Chapter One
BEAMS IN BENDING
This book deals with the extension, bending, and torsion of bars, especially thin-walled
members. Although computational approaches for the analysis and design of
bars are emphasized, traditional analytical solutions are included.
We begin with a study of the bending of beams, starting with a brief review of
some of the fundamental concepts of the theory of linear elasticity. The theory of
beams in bending is then treated from a strength-of-materials point of view. Both
topics are treated more thoroughly in Pilkey and Wunderlich (1994). Atanackovic
and Guran (2000), Boresi and Chong (1987), Gould (1994), Love (1944), and Sokolnikoff
(1956) contain a full account of the theory of elasticity. References such as
these should be consulted for the derivation of theory-of-elasticity relationships that
are not derived in this chapter. Gere (2001), Oden and Ripperger (1981), Rivello
(1969), and Uugural and Fenster (1981) may be con ... read full excerpt from Analysis and Design of Elastic Beams: Computational Methods ebook