Abstract
The aim of this paper is to study a rectangular thin‐walled cross section beam under torsion, with particular regard to the local effects. The shearing strain is taken into account explicitly by means of nonlinear shape functions. In this way, the stress field in the webs is improved and the analysis of stress concentrations close to noncanonical loading conditions and constraints is allowed (for example, only the webs are constrained whereas the flanges are free from the normal and shearing stresses). The governing equations are derived from the Kanto‐rovich variational method, and then uncoupled; the general solution is obtained in closed form. Finally, numerical examples show fhe considerable stress increments that are present in some critical cross sections: the maximum shearing stress is as much as one order of magnitude greater than the average value predicted by the current formulations.
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