TY - GEN
T1 - The role of rotational collapse mode and catenary-type thrust lines in the limit state analysis of masonry arches
AU - Gáspár, Orsolya
AU - Sipos, András
AU - Sajtos, István
N1 - Publisher Copyright:
Copyright © 2019 by Ján BRODNIANSKY, Martin MAGURA, Prof. Ján BRODNIANSKY
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:85102409199
T3 - IASS 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
SP - 1676
EP - 1683
BT - IASS 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
A2 - Lazaro, Carlos
A2 - Bletzinger, Kai-Uwe
A2 - Onate, Eugenio
PB - International Center for Numerical Methods in Engineering
T2 - IASS 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
Y2 - 7 October 2019 through 10 October 2019
ER -