Articles

A Theoretical and Practical Analysis of Geometry and Proportions in Discontinuous Double-Layer Architectural Systems

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Despite the stylistic and structural significance of discontinuous double-shell domes in architectural heritage, limited scholarly attention has been devoted to their geometric foundations. This case-based study investigates the relationship between theoretical and practical geometry in the design and construction of discontinuous double-shell domes. The research seeks to answer two main questions: (1) What is the connection between theoretical and applied geometry in the shaping of such domes? (2) What are the key factors influencing their design and construction process? The study begins with a review of the theoretical foundations of geometry in architecture, followed by an analysis of a selected case study to trace the application of geometric and proportional principles derived from the theoretical phase. Through this analysis, the underlying geometric logic of the dome’s formation is decoded. The results reveal that the dome was designed based on a premeditated geometric system involving fundamental shapes—square, circle, and pentagon—with proportions governed by the golden ratio. These proportions are consistently manifested in the plan, section, and elevation. The study contributes to the understanding of traditional geometric practices and their potential application in the conservation of historical domed structures as well as the design of contemporary shell architecture.

Global Stability Study of a Reinforced Concrete Building: Comparison between Grid and Space Frame Model with an Integrated Model

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The verticalization in large urban centers has provided a series of new challenges for large buildings designers. The slender the structures are, more susceptible they are to second-order global efforts, making its verification indispensable for any reinforced concrete structure. As allies, technological advances and the processing power of computer systems have enabled greater productivity in the verification of the global stability of large buildings. Over the years, several structural models have been implemented in structural analysis and design, aiming to better simulate the actual behavior of structures. In view of this, the present work aims to perform a comparative analysis of the global stability of a reinforced concrete building, using the grid models associated with the space frame and the integrated model. Moreover, the research aims to verify the importance of the structural elements in the global stability of the building. In study two different structural systems were employed for the same building, verifying through the TQS software the conception that presents the best behavior according to the model used. Based on the results obtained, some guidelines are proposed regarding the use of structural models, indicating which one presents the best behavior according to the characteristics of the building.