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Chapter 6: The Euler–Bernoulli Beam

      https://doi.org/10.1142/9789811240676_0006Cited by:0 (Source: Crossref)
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      Abstract:

      The equation governing the lateral vibrations of a beam is derived in the framework of the Euler–Bernoull theory. The weak formulation is presented and the Finite Element Method (FEM) is introduced Fenner (2005); Rao (2005). The application of the method is illustrated with problems in Statics. The Matlab codes consider beams subjected to several constraints and loads. A section is devoted to beams subjected to concentrated forces. The weak form for the related equation is introduced and Matlab applications are illustrated in this new situation.