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The aim of this study is to investigate the curved rods subjected to dynamic loads with variable geometric properties along the axis theoretically. The transient analysis of the planar rods under the various in-plane dynamic loads has been analyzed in the Laplace domain. The obtained canonical form of the first order ordinary differential equations has been solved by Complementary Functions Method (CFM) in the transformed domain. The fifth-order Runge-Kutta method has been applied to the solution of the obtained equations. The materials of the structural elements are assumed to be homogeneous, isotropic, and elastic. The solutions obtained are transformed to the time domain using the modified Durbin's inverse numerical Laplace transformed method. For the suggested models, a computer program is coded in Fortran for the dynamic analysis of the planar curved structural elements. Verification of the computer program is performed by comparing the results of the present methods with the other numerical methods available in the literature. The procedures have been proved to be highly accurate and efficient compared to various other numerical methods.

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The use of perforated steel beams (PSBs) has become of great importance due to their wide application in building construction and their beneficial uses as they are economical in terms of cost in addition to their lightweight. The aim of this study is to investigate the static behavior of castellated beams with different web openings. A 3D finite element analysis is performed using ABAQUS, to find out which type of beam gives the best performance under the same distributed load and fixed support condition. Different shapes are used for the web openings and compared with the basic shape of the hexagon, taking the same area into consideration for all shapes. In this paper, a new design model is developed using more than one shape in the web opening. Displacement and stress results are carried out and compared for various cases.