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Published in:
2016 | OriginalPaper | Chapter
4. Timoshenko Beams
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 Timoshenko beam elements, which allows for the consideration of transverse shear effects, is summarized in Table 4.1. 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 \((\phi _{1y},\phi _{2y})\) act around the y-axis.