Abstract
The elasto-plastic analysis of beams considering the effect of transverse shear stresses and transverse shear deformations based on the Timoshenko beam theory is presented. For the Timoshenko beam elements used in this analysis, the problem of the coupling effect between the normal component and shearing component in the plastic region under the von Mises yield criterion is solved by considering the strain energy related to these components. In the numerical example, it is shown that the proposed method enables determination of the deformational behavior of beams, arid the variations of stress distribution in the cross section in the plastic region.
