Abstract

The large areas covers may be designed as the spatial dome constructions where the basis of their shaping are regular polyhedra. The paper presents eight new designed spatial bar structures as geodetic domes with a span of 50 m. The basis of their shaping is the regular octahedron. This polyhedron has not been recognized in detail as the basis for geodesic domes designing. Using second method of the division of the initial equilateral triangle proposed by professor Fuliński, bar domes generated from 2904-hedron, 3456-hedron, 4056-hedron, 4704-hedron, 5400-hedron, 6144-hedron, 6936-hedron and 7776-hedron were obtained. The designed eight bar structures were subjected to thorough geometric and static analysis showing the behaviour of the geodesic bar domes generated according to the presented in the paper method of the division of original face of regular octahedron. Own formulas were developed to determine the number of nodes and bars. The designed eight bar systems in the form of geodesic domes, which the basis of shaping is regular octahedron can be used as the covers of large areas without the necessity of the internal supports usage.

Highlights

  • Increasing expectations for covers of large areas create opportunities for shaping innovative forms of structural systems

  • The main objectives of dome constructions are to aim to the weight of the structure optimization as well as to obtain a cover with huge possibilities of large area usage thanks to the lack of internal supports

  • The paper presents eight bar structures shaped on the basis of the second method of the division of the original face of regular octahedron, proposed by professor J

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Summary

Introduction

Increasing expectations for covers of large areas create opportunities for shaping innovative forms of structural systems. The main objectives of dome constructions are to aim to the weight of the structure optimization as well as to obtain a cover with huge possibilities of large area usage thanks to the lack of internal supports. The public facilities covers such as fair halls, show halls, sports and recreational facilities, railway stations as well as their construction parts, are designed, inter alia, as domed construction where the basis of their shaping are regular polyhedra. Their grids can reach a span of more than 100 meters. By the division of its original faces into smaller and smaller, we obtain a grid of covering which density is determined by the needs of the designed construction and the expectations of architectural solutions

Shaping of the designed octahedron – based spatial bar structures
Geometric analysis of the designed octahedron – based spatial bar structures
Assumptions
Dimensioning
Static analysis results
Summary
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