Abstract
This chapter is concerned with the application of the perturbation method to the continuous problem of a three-dimensional beam. The reason for doing so is quite simple. It is now common to use the so-called beam-column equations to generate the element stiffness for plane frames. The question is then what should be done in the case of three-dimensional frames. This chapter suggests that if “beam-columns” are used in plane frames then “three-dimensional beam-columns” should be used in space frames. Just what is to be included in three-dimensional beam-columns is the subject of this chapter. The use of two-dimensional beam-columns has already been discussed above in Chapter 1 and Appendix 1. The derivation of the well-known beam-column equations using the methods of this section is discussed in Appendix 4.
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© 2003 Springer Science+Business Media Dordrecht
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Levy, R., Spillers, W.R. (2003). Three-Dimensional Beam-Columns. In: Analysis of Geometrically Nonlinear Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0243-0_8
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DOI: https://doi.org/10.1007/978-94-017-0243-0_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6438-7
Online ISBN: 978-94-017-0243-0
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