Analytical and Numerical funicular analysis by means of the Parametric Force Density Method

The funicular concept has often been used in different stages of structural analysis and design. This paper presents two new methods: Analytical, A-FDM, and Numerical method, N-FDM, based on a parametric application of the original Force Density Method (FDM). This is an especially useful way of visualizing a set of solutions and optimizing, i.e. selecting one specific funicular related to a set of constraints. Two structural algorithms are implemented iteratively with Maple® in real time, and output is also linked to AutoCAD®. Maple® facilitates control of geometrical constraints, while AutoCAD® helps to show all parameterized data. Because of their practical interest, special emphasis is placed on masonry structures using a Limit Analysis approach and preliminary design. Examples of the application of both methods are depicted.