Publication Date:
2014-12-23
Description:
We 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)
Electronic ISSN:
1617-7061
Topics:
Mathematics
,
Physics
,
Technology
