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Erschienen in:
2013 | OriginalPaper | Buchkapitel
7. Plane and Spatial Frame Structures
verfasst von : Andreas Öchsner, Markus Merkel
Erschienen in: One-Dimensional Finite Elements
Verlag: Springer Berlin Heidelberg
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Abstract
Within this chapter the procedure for the analysis of a load-bearing structure will be introduced. Structures will be considered, which consist of multiple elements and are connected with each other on coupling points. The structure is supported properly and subjected with loads. Unknown are the deformations of the structure and the reaction forces on the supports. Furthermore, the internal reactions of the single element are of interest. The stiffness relation of the single elements are already known from the previous chapters. A total stiffness relation forms on the basis of these single stiffness relations. From a mathematical point of view the evaluation of the total stiffness relation equals the solving of a linear system of equations. As examples plane and general three-dimensional structures of bars and beams will be introduced.