Abstract
Due to the high-dimensionality of problems in analyzing statically indeterminate systems at the current stage of design work, it is impossible to do without computer calculations based on the finite element method. However, it is important to remember that the finite element method is an approximate numerical method of mathematical physics, and the results obtained using it for different finite element models can differ significantly. For a detailed and reliable study of the behavior of a complex building structure, it is necessary to analyze it using different finite element models.
This paper compares the bending moments in the main beams of a bionic roof structure designed by Pier Luigi Nervi, calculated using data from two finite element models. The models differ in the types of finite elements in the superstructure, modeling the flange and ribs of the T-beams. The first model is constructed of shells and rods connected by a rigid insert. The second model consists of shells connected by a solid. The supporting part of the structure, shaped like a capital, is made of volumetric finite elements. Analysis of the obtained data revealed that a redistribution of forces occurred in the supporting portion of the beams of the second model, and the span bending moments increased by 45%.
The practical significance of this work is for design engineers performing strength calculations of building structures using software packages based on the finite element method.