Nexus Network Journal

, Volume 21, Issue 1, pp 91–107 | Cite as

Geometry and Construction Optimization: An example using Felix Candela’s Church of St. Joseph the Craftsman in Mexico

  • Zlata TošićEmail author
  • Sonja Krasić
  • Naomi Ando
  • Milos Milić


This paper presents a contemporary architectural working method that encompasses digitalization and parameterization of existing buildings and optimization of new buildings designed with ruled surfaces. The method uses parametric modeling and computational structural analysis in order to simplify contemporary building processes. As an example of the application of these techniques, in this paper they are applied to Felix Candela’s Church of St. Joseph the Craftsman, a design which features hyperbolic paraboloids that are considered difficult to design, calculate and build. The optimization method introduced in this paper seeks to explore different possibilities for designing and modifying buildings designed using non-standard geometry allowing them to be built out of simplified elements but also keep construction and visual properties of their shape. This method is also useful for students and young engineers to expand their skills in structural analysis, parametric modeling and optimization methods with contemporary tools.


Construction optimization Geometry Ruled surfaces Digital fabrication Felix Candela 



  1. Aage, N., O. Amir, A. Clausen, L. Hadar, D. Maier and A. Søndergaard 2014. Advanced topology optimization methods for conceptual architectural design. In: Advances in Architectural Geometry, eds. P. Block, J. Knippers, N. Mitra and W. Wang. 159-179. Cham : Springer International Publishing : Springer.Google Scholar
  2. Bendsøe, M. P., and K. Kikuchi. 1988. Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71 (2): 197-224.MathSciNetCrossRefzbMATHGoogle Scholar
  3. Cavieres, A., R. Gentry and T. Al-Haddad. 2011. Knowledge-based parametric tools for concrete masonry walls: Conceptual design and preliminary structural analysis. Automation in Construction 20 (6): 716-728.CrossRefGoogle Scholar
  4. Faber, C. 1965. Candela and his bowls (Candela und seine schalen). Munich: Verlag Georg D.W. Callwey.Google Scholar
  5. Forty, A. 2013. Words and buildings: a vocabulary of modern architecture. London : Thames & Hudson.Google Scholar
  6. Hegger J., M. Curbach, A. Stark, S. Wilhelm and K. Farwig. 2018. Innovative design concepts: Application of textile reinforced concrete to shell structures. Structural Concrete 19 (3): 637-646.CrossRefGoogle Scholar
  7. Jovanović N., P. Pejić and S. Krasić. 2014. The use of voronoi diagram in the design of an object containing a hyperbolic paraboloid, 18th Geometrical Seminar, Vrnjačka Banja, Serbia, Book of Abstracts. ISBN 987-86-6275-027-3, 55. Accessed 4 March 2018.
  8. Krasić, S. 2012. Geometrical surfaces in Architecture. Nis, Serbia: Faculty of Civil Engineering and Architecture, University of Nis.Google Scholar
  9. Lee, A. D., P. Shepherd, M. C. Evernden and D. Metcalfe. 2018. Optimizing the Architectural Layouts and Technical Specifications of Curtain Walls to Minimize Use of Aluminium. Structures. 13: 8-25.CrossRefGoogle Scholar
  10. Mariano, V., M. Pascual and M. Q. Osvaldo. 2009. Topology design of two‐dimensional continuum structures using isolines. Computers & structures. 87 (1-2): 101-109.Google Scholar
  11. Moreyra Garlock, M. E. and D. P. Billington. 2010. Structural Art and the Example of Félix Candela. Journal of structural engineering. 136 (4) : 339-342.CrossRefGoogle Scholar
  12. Radivojević G., and D. Kostić. 2011. Construction systems in architecture. Nis: Faculty of Civil Engineering and Architecture, University of Niš, Serbia.Google Scholar
  13. Smith C. B., M. Pani, M. Goeritz, F. Candela, L. Barragán and J. O’Gorman. 1967. Builders in the sun : five Mexican architects, New York : Architectural Book.Google Scholar
  14. Stavrić M. and A. Wiltsche. 2015. Ornamental plate shell structures. (accessed 5 January 2018).
  15. Stromberg L. L., A. Beghini, W. F. Baker and G. H. Paulino. 2011. Application of layout and topology optimization using pattern gradation for the conceptual design of buildings. Structural and Multidisciplinary Optimization. 43 (2) : 165-180.CrossRefGoogle Scholar
  16. Tomas A., and P. Marti. 2010. Shape and size optimization of concrete shells. Engineering Structures. 32(6): 1650-1658.CrossRefGoogle Scholar
  17. Tomas A., and P. Marti. 2010. Optimality of Candela’s concrete shells: A study of his posthumous design, Journal of the International Association for Shell and Spatial Structures, 51:.67.Google Scholar
  18. Wortman T. and B. Tuncer 2017. Differentiating parametric design: Digital workflows in contemporary architecture and construction, In Parametric Design Thinking. Design Studies 52: 173-197.CrossRefGoogle Scholar
  19. Xie Y., P. Felicetti, J. Tang and M. Burry. 2005. Form finding for complex structures using evolutionary structural optimization method. Design Studies 26 (1): 55-72.CrossRefGoogle Scholar

Copyright information

© Kim Williams Books, Turin 2019

Authors and Affiliations

  1. 1.Faculty of Civil Engineering and ArchitectureNišSerbia
  2. 2.Faculty of Engineering and DesignHosei UniversityTokyoJapan

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