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Full Description
This book is focused on the introduction of the finite difference method based on the classical one-dimensional structural members, i.e., rods/bars and beams. It is the goal to provide a first introduction to the manifold aspects of the finite difference method and to enable the reader to get a methodical understanding of important subject areas in structural mechanics. The reader learns to understand the assumptions and derivations of different structural members. Furthermore, she/he learns to critically evaluate possibilities and limitations of the finite difference method. Additional comprehensive mathematical descriptions, which solely result from advanced illustrations for two- or three-dimensional problems, are omitted. Hence, the mathematical description largely remains simple and clear.
Contents
Idea and Derivation of the Method.- Investigation of Rods in the Elastic Range.- Investigation of Euler-Bernoulli.-Beams in the Elastic Range.- Investigation of Timoshenko Beams in the Elastic Range.- Consideration of Euler-Bernoulli Beams with Plastic Material Behavior.- Answers to Supplementary Problems.
