Abstract
AbstractWe investigate the coupling of the four one‐dimensional problems of linear elasticity (i.e., the rod‐, the two beam‐ and the shaft‐problem), for the case of a cross section that has two orthogonal axes of reflectional symmetry. An analytical proof is given, that the problems are decoupled for a homogeneous orthotropic material and the coupling behavior is given for monoclinic materials in dependence of the orientation of the symmetry plane. For a general anisotropic (aelotropic) material all four problems are coupled. We also identify the driving forces for the four problems, leading to a detailed definition of the admissible load‐cases for the classical problems, so that any three‐dimensional load‐case can be uniquely decomposed into the driving forces of the four problems. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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