Abstract
Bending strain distribution on wide flanges does not become uniform because of the shear lag. In solving the problems of the shear lag, an analytical approach with assumptions of the shear lag displacement on certain particular cross section was proposed, and was subsequently generalized by the harmonic analysis. Although the shear lag problems can be analyzed directly by the FEM using solid or shell elements, it may not be appropriate from viewpoints of the designing processes and the cost of analyses. Moreover, even for a particular cross section, such numerical results are not so consistent with those assumed by the analytical methods. We here propose a new approach to resolve such problems. The method uses the homogenized beam theory with FEM for a representative volume element which consists of the solid elements to obtain the pattern of the shear lag displacement and, at the same time, employs the classical analytical approach. Accuracy and feasibility are examined by comparing results with FEM analyses.
