Issue 51

C. Anselmi et alii, Frattura ed Integrità Strutturale, 51 (2020) 486-503; DOI: 10.3221/IGF-ESIS.51.37 486 Focussed on Fracture and Damage Detection in Masonry Structures 3D limit analysis of masonry pavilion domes on octagonal drum subjected to vertical loads C. Anselmi, F. Galizia University of Naples “Federico II”, Department of Structures for Engineering and Architecture, Italy anselmi@unina.it , fgalizia@unina.it E. Saetta Sapienza University of Rome, Department of Structural and Geotechnical Engineering, Italy e.saetta@virgilio.it A BSTRACT . Within the framework of limit design applied to masonry structures, this paper aims at analyzing the different behavior of a pavilion dome according to the adopted construction and reinforcement technologies. By using the static theorem applied to the dome discretized in rigid macro- blocks of variable shape aligned along parallels and meridians, a mathematical model has been constructed in order to search for the load collapse multiplier, and thus to evaluate the degree of structural safety. Then, the associated failure mechanism is represented at the instant in which the collapse is reached. The program implementing the model is sufficiently versatile and, in addition to the mechanical characteristics, allows to define the intrados profile, the thickness variability, as well as to insert any window opening in the drum, the lantern at the top and the hoops at each level. The results shown here are concerned with some numerical applications carried out on a theoretical dome, as well as with a preliminary analysis of the dome of Santa Maria del Fiore in Florence by Brunelleschi. K EYWORDS . Masonry; Dome on octagonal drum; Limit analysis; No-tension material; Yield surface. Citation: Anselmi, C., Galizia, F., Saetta, E., 3D limit analysis of masonry pavilion domes on octagonal drum subjected to vertical loads, Frattura ed Integrità Strutturale, 51 (2020) 486-503. Received: 26.06.2019 Accepted: 12.12.2019 Published: 01.01.2020 Copyright: © 2020 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. I NTRODUCTION ithin the framework of limit design applied to masonry structures, this paper aims at analyzing the different behavior of a pavilion dome according to the adopted construction and reinforcement technologies; for example, if in correspondence of the ribs the bricks of the contiguous sails are well interlocked (as in the Santa W

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