Structural analysis of steel load-bearing systems using tessellation method in geometric architectural design

Takva Ç., İlerisoy Z. Y.

SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, vol.48, no.3, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1007/s12046-023-02185-1
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Cost analysis, optimization analysis, steel structures, structural analysis, structure design, tessellation
  • Gazi University Affiliated: Yes


The geometry-architecture relationship, which plays a limiting role in the building construction process, is an important concept in determining the identity of the buildings. Tessellations, which differentiate the structures from each other in the architectural design process, are among the methods that can be considered within the geometry-architecture relationship. In the world of modern architecture, it is possible to come across tessellation configurations in the formation of buildings, their facades, and load-bearing system designs. In this study, the reflections of tessellation patterns on steel load-bearing system designs were examined. In the first stage, the load-bearing patterns were analyzed by performing a situation analysis through the real structures with different tessellation configurations. Eight tessellation patterns were created with the most used geometries, and their geometric characteristics, structural performances, and costs were investigated. The models designed with the Grasshopper software were evaluated with the Sap2000 analysis program. To create a comparable structural framework and to link the tessellation patterns with the steel load-bearing systems, planar and single-curvature vault grid systems, in which symmetric/periodic types of tessellation can be applied, were used. Depending on the variation in tessellation modulations, optimum solutions were sought in load-bearing structure systems arranged according to grid density and grid factor values. As a result of structural analyses, systems that offer optimum solutions were shown with comparative analyses. Then the performances of geometric designs were discussed. Considering the cost-based scoring of the systems because of optimization, triangle-rectangle ( in planar structures, rectangle ( and triangle-hexagon ( tessellation systems in single vault structures come to the fore.