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Published in:
2013 | OriginalPaper | Chapter
6. General 1D Element
Authors : Andreas Öchsner, Markus Merkel
Published in: One-Dimensional Finite Elements
Publisher: Springer Berlin Heidelberg
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Abstract
Within the application the three basic types tension, torsion and bending can occur in an arbitrary combination. This chapter serves to introduce how the stiffness relation for a general 1D element can be gained. The stiffness relation of the basic types build the foundation. For ‘simple’ loadings the three basic types can be regarded separately and can easily be superposed. A mutual dependency is nonexistent. The generality of the 1D element also relates to the arbitrary orientation within space. Transformation rules from local to global coordinates are provided. As an example, structures in the plane as well as in three-dimensional space will be discussed. Furthermore there will be a short introduction in the subject of numerical integration.