An algorithm for estimating the deformation of floor slabs based on the span-support topology of the building

Abstract

Planning the supporting structures of a building is a problem of an extremely wide choice. At the same time, the estimation of one option by the finite element method takes too much time to apply automated and decision support tools. Therefore, it is proposed to identify a quickly calculated estimation of the supports plan which would allow comparing two support plans correctly in terms of potential deformations. To achieve this, the existing heuristic approaches modeling the functional relationship between the plan of supports and the resulting deformations were analyzed. In this paper spans are taken as the basis for the estimation. Further, the problem of spans determining is formulated which is reduced to the problem of the geometric coverage of multicoherent orthogonal polygon. The objective function is the maximization of the correlation between the detected estimate and the actual calculated values of deformations. To determine the spans on the floor area, a new algorithm based on the sweep line algorithm is proposed which consists of three steps: partitioning the floor area, determining the proximity of partitioned sections and assembling sections into spans. In order to determine the main estimate for a span-support topology, a single span estimation is derived based on three parameters: span area, aspect ratio and topology of supports that bound the span. Since the last parameter is qualitative, an additional analysis of quantitative parameters that can correctly describe it was carried out. The analysis criterion was the correlation with the calculated deformations in the span. The parameter of the maximum perimeter distance between the supports was recognized as the best parameter. The best function for estimating the spans was selected. In addition, various approaches to assembling spans from partition sections at the last step of the algorithm were analyzed.