Skip to main content

Graphical Analysis of the Structural Behavior, According Hypothesis of Rankine-Schwedler, of a Large Stone Dome in Granada (Spain)

  • Conference paper
  • First Online:
ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics (ICGG 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 809))

Included in the following conference series:

  • 72 Accesses

Abstract

This paper presents a geometric, constructive and structural analysis, of the Encarnación church dome in Montefrío, Granada (Spain). It’s a hemispherical dome, built of stone in the 18th century; the result of the confluence of three trends at that time: Bourbon centralism, illustrated academicism and architectural neoclassicism. Its diameter is approximately 30 m, it is considered to be a replica of the Pantheon in Rome, having been the largest stone dome in the world, since the bombing in 1943 of St. Hedwig’s Cathedral dome in Berlin, until the construction in 2008 of the Global Vipassana Pagoda in India. We present the geometric modelling of the dome, taken from three-dimensional scanning applied to architectural research. We also include an analysis of the mechanical behaviour of the dome is made, analytics and graphically according hypothesis of Rankine-Schwedler, including detailed graphical diagrams.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 509.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 649.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Almagro, A.: Levantamiento Arquitectónico. Universidad de Granada (2004)

    Google Scholar 

  2. Alonso, E.: Análisis Estructural de la cúpula de la Iglesia de la Encarnación de Montefrío (Granada). Trabajo fin de Máster dirigido por Javier Suárez Medina. Máster de Estructuras de la Universidad de Granada. CA 2012/13 (2013)

    Google Scholar 

  3. Boothby, T.E.: Engineering Iron and Stone. ASCE Press (2015)

    Google Scholar 

  4. Bouguer, P.: Sur les Lignes Courbes propres a former les Voutes en Dome. Mémoires de l’Académie Royale de Sciences de Paris, pp. 149–166 (1734)

    Google Scholar 

  5. Cervera, L.: Ventura Rodríguez, maestro mayor de obras de Madrid y de sus fuentes y viajes de agua. Boletín de la Real Academia de Bellas Artes de San Fernando (1982)

    Google Scholar 

  6. Cervera, L.: El arquitecto Gallego Domingo Antonio Lois de Monteagudo (1723–1786) y su “Libro de Barios adornos”. Fundación Pedro Barrie de la Maza (1985)

    Google Scholar 

  7. Frézier, A.F.: La théorie et la pratique de la coupe de pierres. Paris. C.A. Jombert. 3 vols. (1737–39)

    Google Scholar 

  8. Guillén, E.: Arquitectura religiosa en el Arzobispado de Granada. De la ilustración al historicismo (1773–1868). Universidad de Granada. Departamento de Historia del Arte (1988)

    Google Scholar 

  9. Guillén, E.: La fortuna de un arquitecto pensionado en Roma: Domingo Lois Monteagudo. Academia. Base de Datos CSIC (1989)

    Google Scholar 

  10. Heyman, J.: On shell solutions of masonry domes. Int. J. Solids Struct. 3, 227 (1967)

    Article  Google Scholar 

  11. Heyman, J.: Equilibrium of shell structures. Oxford University Press (1977)

    Google Scholar 

  12. Heyman, J.: El esqueleto de piedra: mecánica de la arquitectura de fábrica. Instituto Juan de Herrera, Madrid (1999)

    Google Scholar 

  13. Mas Guindal, A.: Mecánica de las estructuras antiguas. Ed. Munilla-Lería (2011)

    Google Scholar 

  14. Poleni, G., Poleni, J.: Memorie istoriche della gran cupola del templo vaticano. Stamperia del Seminario. Padua (1748)

    Google Scholar 

  15. Saliger, R.: Estática Aplicada. Editorial Labor S.A. (1932)

    Google Scholar 

  16. Suárez, J., Madero, C.: Structural analysis of a large stone dome in Granada (Spain). In: Modena, C., da Porto, F., Valluzzi, M.R. (eds.) IB2MAC Brick and Block Masonry. Trends, Innovations and Challenges. Book of Abstracts, pp. 1137–1144. ISBN: 978-1-138-02999-6. eBook PDF ISBN: 978-1-4987-9592-0. IB2MAC 16th International Brick and Block Masonry Conference. Padua, Italy (2016)

    Google Scholar 

  17. Suárez, J., Bravo, R., Alonso, E.: Structural analysis of the church dome “Encarnación” in Montefrío, Granada (Spain), the second largest stone dome in the world. 12th North American Masonry Conference (12NAMC). University of Colorado. Denver (2015). ISBN: 978-1-929-081-45-5

    Google Scholar 

  18. Wolfe, W.S.: Graphical analysis. A Text Book on Graphic Statics. McGraw-Hill Book Company, Inc., New York (1921)

    Google Scholar 

  19. Thunnissen, H.J.W.: Bóvedas: su construcción y empleo en la arquitectura. Gewelven. Constructie en toepassing in de historische en hedendaagse bouwkunst. (1950). Instituto Juan de Herrera. ETS de Arquitectura de Madrid (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Javier Suarez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Suarez, J., Bravo, R., González, J.A. (2019). Graphical Analysis of the Structural Behavior, According Hypothesis of Rankine-Schwedler, of a Large Stone Dome in Granada (Spain). In: Cocchiarella, L. (eds) ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-319-95588-9_91

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-95588-9_91

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95587-2

  • Online ISBN: 978-3-319-95588-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics