TY - GEN
T1 - Geometry of the crack-free spherical masonry dome
AU - Sajtos, István
AU - Gáspár, Orsolya
AU - Sipos, András
N1 - Publisher Copyright:
Copyright © 2019 by István Sajtos, Orsolya Gáspár, András Á. Sipos Published by the International Association for Shell and Spatial Structures (IASS) with permission.
PY - 2019
Y1 - 2019
N2 - Spherical masonry domes are attractive elements of architectural heritage. The often recognizable development of cracks in the meridional direction challenged master builders and later architects and engineers to understand the structural behavior of domes. Membrane theory of shells suggests, that due to the low tensile capacity of masonry, cracks at the lower portion of a hemispherical dome, with constant thickness subjected to its self-weight, are inevitable, as the hoop stresses change sign (from compression to tension). Disregarding the limited tensile capacity of masonry, based on a no-tension material model, the extensive literature of the topic offers various theoretical solutions to this problem. These can be classified in the following way: a) the geometry of the middle surface can be altered (resulting non-spherical dome), b) a thrust surface, different from the mid-surface, can be obtained still within the dome section, c) retaining the spherical middle surface as membrane surface, varying thickness functions can be defined, resulting crack-free domes. Present paper offers an extension to the last approach. A thickness function is defined, which guarantees compression everywhere or at least zero hoop stresses from top to bottom.
AB - Spherical masonry domes are attractive elements of architectural heritage. The often recognizable development of cracks in the meridional direction challenged master builders and later architects and engineers to understand the structural behavior of domes. Membrane theory of shells suggests, that due to the low tensile capacity of masonry, cracks at the lower portion of a hemispherical dome, with constant thickness subjected to its self-weight, are inevitable, as the hoop stresses change sign (from compression to tension). Disregarding the limited tensile capacity of masonry, based on a no-tension material model, the extensive literature of the topic offers various theoretical solutions to this problem. These can be classified in the following way: a) the geometry of the middle surface can be altered (resulting non-spherical dome), b) a thrust surface, different from the mid-surface, can be obtained still within the dome section, c) retaining the spherical middle surface as membrane surface, varying thickness functions can be defined, resulting crack-free domes. Present paper offers an extension to the last approach. A thickness function is defined, which guarantees compression everywhere or at least zero hoop stresses from top to bottom.
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M3 - Conference contribution
AN - SCOPUS:85102402271
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 - 1489
EP - 1496
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 -