Dynamic analysis of steel I – girders with trapezoidal web corrugations due to moving load

Abstract

Dynamic analysis is known as important in performing the behavior analysis of structures. To predict the displacement induced in steel I-girders by cars or trains, a good understanding of the  displacement is critical. In this study, the straight steel I-girder element with trapezoidal web corrugations and singly symmetric cross-section is formed on the basis of the Kang and Yoo’s thin-walled curved beam with doubly symmetric cross-section theory. Each element node has seven degrees of freedom including warping. The shape function N, the elastic element stiffness matrix Ke and mass matrix Me are also shown by using the Finite Element Method (FEM). Then, a MATLAB code was developed for the dynamic analysis of simply supported steel I-girders with trapezoidal web corrugations due to moving load. The accuracy of proposed equations is also examined in case that steel I-girders with trapezoidal web corrugations degenerate into flat webs I-girders. Its results are then compared with those in previous studie.