Abstract
The basic load type torsion for a prismatic bar is described with the help of a torsion bar. First, the basic equations known from the strength of materials will be introduced. Subsequently, the torsion bar will be introduced, according to the common definitions for the torque and angle variables, which are used in the handling of the FE method. The explanations are limited to torsion bars with circular cross-section. The stiffness matrix will be derived according to the procedure for the tension bar [1–6].
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Notes
- 1.
Besides the shear strain \(\gamma _{x \varphi }(r, x)\) and the deformation \(u_{\varphi }(x, r)\) no further deformation parameters occur during the torsion of circular cross-sections. For clarity reasons the indexing for clear dimensions is omitted.
References
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Öchsner, A., Merkel, M. (2013). Torsion Bar. In: One-Dimensional Finite Elements. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31797-2_4
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DOI: https://doi.org/10.1007/978-3-642-31797-2_4
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