The shear correction factor is used to indirectly consider the effect of cross-sectional deformation in the Timoshenko beam. However, the cross-sectional deformation is not necessarily proportional to the shear force. For example, even though the shear force generally becomes discontinuous at intermediate supports in continuous beams, the cross-sectional deformation must be continuous due to compatibility condition of deformation. Therefore, in order to improve the accuracy of the shear behavior of beams, the cross-sectional deformation should be treated independently of the shear force. In this context, a semi-analytical method that utilizes the shear lag displacement field numerically obtained by the finite element method and the homogenization method has been proposed. Then, this study develops a generalized beam theory that incorporates numerically obtained cross-sectional deformation due to both out-of-plane shear and shear lag. A beam element based on the developed generalized beam theory is also presented.

Key Words : shear correction factor, homogenization method, cross-sectional deformation, shear lag

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