Simulation of internal forces of a cantilevered beam with a moving load

Abstract

The simulation of cantilevered beam internal forces in any beam section with a moving load is presented. The processes of analytical and computer modeling of the structural analysis are provided depending on the location of the moving load. The cantilevered beam in this article can be a schematic for a gantry crane or an overhead crane with a moving trolley. These calculations are not only very useful for cranes, but also all kinds of bridges and trusses with a moving load. The mathematical model is provided and numerically solved in Mathcad software. As a result of the study, the program effectively determines the internal forces in any beam section depending on the location of the moving load. The proposed procedures will reduce the time and cost of conceptual and detailed design very easily when the beam parameters change, which is useful for optimization studies.