Analysis of Shear Deformation of Column Structure Based on Load Equivalent Distribution Theory

To enhance the calculation efficiency and accuracy of shear deformation in column structures with Timoshenko beam properties, an equivalent distributed load-finite element method is proposed, based on the theory of equivalent load distribution, node analysis method, and Timoshenko beam theory with orthogonal Interpolation characteristics. This method efficiently addresses the shear deformation displacement of beam-column joints, which is more accurate and efficient than existing algorithms in analyzing the shear deformation of the column structure. The reliability of the equivalent distributed load-finite element algorithm is verified through the study of two working cases, and the results demonstrate that highly accurate Solutions of displacement, angles of rotation, shear forces, and bending moment can be obtained using very few elements (one or two ele-ments). In contrast, other displacemenCbased methods, such as simplified Integration, require about 40 elements to achieve comparable results. This method can directly and systematically determine the stability func-tion and bending load of Timoshenko bearrrcolumn under different connection conditions, which effectively im_ prove the accuracy of finite element analysis Solution of shear deformation of column structure. © 2024 Nanjing University of Aeronautics an Astronautics. All rights reserved.