(Created page with "== Abstract == Masonry domes are shell-like structures with a no-tension type material behavior [1]. The dome geometry, material behavior and the type of the loading define h...") |
m (Scipediacontent moved page Draft Content 698473224 to Sajtos et al 2021a) |
(No difference)
|
Masonry domes are shell-like structures with a no-tension type material behavior [1]. The dome geometry, material behavior and the type of the loading define how the dome balances the load. It is known and proved that the dome could balance the load only by forces, without bending moment but cracks may appear since the material does not resist tension. The surface where the balancing forces are acting is called the thrust surface. The paper introduces the idea of the general thrust surface. It is such a balancing surface where the forces are not acting in the tangent plane of the thrust surface and otherwise it is moment free. A method is shown how to find the general thrust surface for a cracked spherical masonry dome. Numerical example illustrates the usefulness and effectiveness of the proposed method to determine the general thrust surface of a spherical dome when radial stereotomy is considered. By the help of the proposed model the safety of the more than 350 years old, cracked dome of Gol Gumbaz, India can be proofed.
[1] J. Heyman On the shell solution of masonry domes. Int. J. of Solids Structures (1967) 3:227-241.
[2] ed. S Adriaenssens et.al. Shell structures for architecture. Form finding and optimization. Routledge, (2014).
[3] F. Fraternali A thrust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions. Mech. Res. Comm. 37, pp. 198-204 (2010).
[4] A. Baratta, O. Corbi On the statics of no-tension masonry-like vaultas and shells: solution domains, operative treatment and numerical validation”, Ann. of Solid and Struct. Mech.(2011) 2:2-4:107-122.
[5] O. Gáspár, A. A. Sipos and I. Sajtos Effect of stereotomy on the lower bound value of minimum thickness of semi-circular masonry arches Int. J. of Arch. Her. (2018) 12:6:899- 921.
[6] I. Sajtos, O. Gáspár, A. Á. Sipos Geomery of the crack-free spherical masonry dome. In: C. Lázaro et. al. (eds.) Form and Force. Proc. of the 60th Anniversary Symposyum of IASS. CIMNE, Barcelon, Spain (2019), pp.1450-1457.
[7] R. Mark, P. Hucthinson On the structure of the roman Pantheon. The Art Bulletin (1986) 68:1:24-34.
[8] W. Flügge Stresses in shells. Springer-Verlag, Berlin, (1960).
[9] P. Csonka Theory and practice of membrane shells. Akadémiai Kiadó, Budapest, (1987).
[10] P. L. Gould Analysis of plates and shells. Prentice Hall, (1999).
[11] Block, P., & Ochsendorf, J. Thrust network analysis: a new methodology for three dimensional equilibrium. Journal of the International Association for Shell and Spatial Structures, (2007) 48:3:167-173.
[12] Block, P. Thrust Network Analysis: Exploring Three-dimensional Equilibrium. PhD dissertation, Massachusetts Institute of Technology. Cambridge, USA., (2009).
[13] M. Varma et. al. Stability of masonry dome: Special emphasis on ‘Golagumbaz’. In: P.B. Lourenco et. al. (eds.) Structural Analysis of Historical Constructions. Possibilities of Numerical and Experimental Techniques. Proc. of the 5th Int. Conf. on Structural Analysis of Historical Constructions, New Delhi, India (2006), pp.1789-1794.
Published on 30/11/21
Submitted on 30/11/21
Volume Numerical modeling and structural analysis, 2021
DOI: 10.23967/sahc.2021.120
Licence: CC BY-NC-SA license
Are you one of the authors of this document?