Abstract
We report a displacement analysis of a single-bent leaf flexure under transverse loading. Euler-Bernoulli, Timoshenko, and third-order beam theories, and the partially restrained warping effect, are considered. Castigliano’s theorem is used to derive theoretical expressions of deflection under transverse loading. A sensitivity analysis is performed, and all of the results are verified using finite element analysis (FEA). The results show that the theoretical equations with third-order beam theory and a warping restraint factor of K=0.5 are in a good agreement with the FEA results, within a maximum 4% error. These results indicate that the accuracy of the displacement analysis of the single-bent flexure under transverse loading depends on both the transverse shear deformation and the partially restrained warping effect.
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