## せん断に伴う断面変形を考慮した梁理論の一般化に関する検討

A study on generalization of beam theory considering cross-sectional deformation due to shear**鄭 勲** (Xun ZHENG)

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