Titlebook: One-Dimensional Finite Elements; An Introduction To T Markus Merkel,Andreas Öchsner Book 20231st edition Springer-Verlag GmbH Germany, part

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Stability (Buckling),ructures. The explanations concentrate on elastic bars and beams. The initial situation is a loaded elastic structure. If the applied load remains below a critical value, the structure behaves “simply” and one can describe the behavior using the models and equations from the previous chapters. If th

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Beams with Shear Contribution,ormation quantities when treated by the FE method. The derivation of the stiffness matrix is also carried out here by means of various methods and is described in detail. In addition to linear shape functions, a general concept for arbitrary order of the shape functions is presented.

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Special Elements,al element considers that the geometry of the element extends to infinity at an edge. For the derivation of these elements, special shape functions for the interpolation of the local spatial coordinate are introduced.

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Plasticity,ptions is pointed out to ensure an easy transfer of the derived procedures to general problems. Calculated examples and further tasks with short solutions serve to practice the theoretical description.