Structural analysis and design of a self-supporting wooden bridge designed by Leonardo Da Vinci

Authors

DOI:

https://doi.org/10.5902/2179460X86798

Keywords:

Bridge, Support reaction, Structure, Load

Abstract

Leonardo Da Vinci created several bridges throughout his life, including a highly practical self-supporting bridge. This research aimed to investigate the geometry of the self-supporting bridge structure, the transmission of loads along the bars, and to conduct sizing simulations. Initially, calculations were developed for the length, height, and angles of the bridge. Subsequently, support reactions for each bar composing the bridge were calculated, followed by the sizing of the bridge considering wood as the material used. Finally, simulations were conducted for bridge lengths of 4 m, 5 m, 6 m, and 7 m. It was found that for each situation, there are various possibilities of bridges, with variations in height and angles of the bridge, as well as different bars sizes. The results showed that taller bridges may be more efficient; however, this would complicate practical crossing. Therefore, it is necessary to limit the height, and the optimal point found in this research was a bridge height-to-length ratio of 0.30. Nevertheless, it is still possible to adapt the bridge access to smooth the passage, requiring further in-depth studies.

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Author Biographies

Lucas Alves Lamberti, Universidade Federal de Santa Maria

Mestre em Engenharia Mecânica, Professor de Engenharia Mecânica, Universidade Federal de Santa Maria - Cachoeira do Sul

Rafael Domingues Della Pace, Universidade Federal de Santa Maria

Degree in Physics from the Federal University of Santa Maria (2007), Master's degree in Physics from the Federal University of Santa Maria (2011), and Ph.D. in Physics from the Federal University of Santa Maria (2015). I conducted post-doctoral research at the Federal University of Santa Catarina, in Santa Catarina, SC from 02/2015 to 06/2017, and at the Federal University of Rio Grande do Norte, Natal, RN, from 07/2017 to 10/2019. Currently, I am a professor at the Federal University of Santa Maria - CS, Cachoeira do Sul / RS. I have experience in Condensed Matter Physics (Experimental), focusing mainly on the following topics: electrical properties, magnetization dynamics in nanostructures, as well as nanofabrication, ferromagnetic thin films, dielectrics (common insulators, ferroelectrics, and piezoelectrics), and semiconductors.

Lucas Tavares Cardoso, Universidade Federal de Santa Maria

Degree in Physics from the Federal University of Santa Maria (UFSM), Master in Physics from the Brazilian Center for Physical Research (CBPF), and Ph.D. in Physics from the Federal University of Juiz de Fora (UFJF). Currently, I am an Associate Professor of Mathematics at the Federal University of Santa Maria, Cachoeira do Sul campus, working in the areas of Mathematical Physics and General Theory of Particles and Fields.

Carla Fernanda Perius, Universidade Federal de Santa Maria

Sanitary and Environmental Engineer, graduated from the Federal University of Santa Maria - UFSM (2014). Master's in Civil Engineering, with a focus on Water Resources and Environmental Sanitation, from the Federal University of Santa Maria - UFSM (2016). Ph.D. in Civil Engineering, specializing in Water Resources and Environmental Sanitation, from the Federal University of Santa Maria - UFSM (2022). I worked as a professor at CIETEC Technical School in 2014 and 2015, served as a Substitute Professor in the Environmental Management course at the Federal University of Santa Maria in 2017, and taught in the Civil Engineering and Architecture courses at the University of Vale do Rio dos Sinos (Unisinos) in 2018. Currently, I work as an administrative assistant at the Federal University of Santa Maria, Cachoeira do Sul Campus.

Fábio Beck, Universidade Federal de Santa Maria

Degree in Physics (Bachelor's) in 2008, completed a Master's in Physics in 2010, and a Ph.D. in Physics (2013), all from the Federal University of Santa Maria. I have expertise in the field of Physics, specifically focusing on Condensed Matter Physics, with a primary focus on the dynamics of magnetization in amorphous micro-wires. Currently, I am a Professor at UFSM - Cachoeira do Sul Campus, and I serve as the Coordinator of the Physics Teaching program at UFSM/UAB.

Diogo Pauletti, Universidade Federal de Santa Maria

Associate Professor at the Federal University of Santa Maria (Cachoeira do Sul). Ph.D. in Physics from the Federal University of Santa Maria, where he also completed a Master's in Physics and a Bachelor's in Physics. Specialized in the field of Physics, with a focus on Astrophysics, his primary areas of research include the interstellar medium and supernova remnants.

References

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Published

2024-11-08

How to Cite

Lamberti, L. A., Della Pace, R. D., Cardoso, L. T., Perius, C. F., Beck, F., & Pauletti, D. (2024). Structural analysis and design of a self-supporting wooden bridge designed by Leonardo Da Vinci. Ciência E Natura, 46(esp. 3), e86798. https://doi.org/10.5902/2179460X86798

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