The role of rotational collapse mode and catenary-type thrust lines in the limit state analysis of masonry arches

Orsolya Gáspár, András Sipos, István Sajtos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The result of a minimum thickness analysis of masonry arches based on the principle of thrust line is subject to loading, geometry and stereotomy (brick or stone laying pattern): if the latter is unknown, a range of minimum thickness values becomes available. Present paper applies the Heymanian assumptions regarding the material qualities, notably no-tension, infinite compression and no-sliding, and hence only a pure rotational collapse mode is considered. It is demonstrated that minimum thickness analysis based on the envelope of resultants results a bounding minimum thickness value and ultimately the rotational collapse mode of the arch selects whether it is a lower or an upper bound. It has been shown, that in case of self-load, the thrust line and envelope of resultants coincide for vertical stereotomy: it is denoted here as catenary-type thrust line. Next a simple, but effective algorithm is introduced which predicts the corresponding rotational collapse mechanism based on a simplified structural model and the geometric relation between catenary-type thrust line and the reference line of the arch. The applicable list of rotational failure modes for circular arches (found in the literature) subject to their geometry is analytically verified. It is also classified whether they result an upper-or lower bound minimum thickness in an analysis based on the catenary-type thrust line. The practical relevance of the study is illustrated by the revisited analysis of the dome of St. Peter's, Rome by Giovanni Poleni.

Original languageEnglish (US)
Title of host publicationIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE
EditorsCarlos Lazaro, Kai-Uwe Bletzinger, Eugenio Onate
PublisherInternational Center for Numerical Methods in Engineering
Pages1676-1683
Number of pages8
ISBN (Electronic)9788412110104
StatePublished - 2019
EventIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE - Barcelona, Spain
Duration: Oct 7 2019Oct 10 2019

Publication series

NameIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE

Conference

ConferenceIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE
Country/TerritorySpain
CityBarcelona
Period10/7/1910/10/19

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Building and Construction

Cite this