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Published in:
2016 | OriginalPaper | Chapter
3. Euler–Bernoulli Beams and Frames
Authors : Andreas Öchsner, Marco Öchsner
Published in: The Finite Element Analysis Program MSC Marc/Mentat
Publisher: Springer Singapore
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Abstract
The definition of Euler–Bernoulli beam elements is summarized in Table 3.1. The derivation in lectures normally starts with the introduction of an elemental coordinate system (x, z) where the x-axis is aligned with the principal axis of the element and the z-axis is perpendicular to the element. Based on the definition of this element, displacements \((u_{1z},u_{2z})\) can only occur perpendicular to the principal axis while the rotations \((\varphi _{1y},\varphi _{2y})\) act around the y-axis.