TECHNICAL PAPERS
Apr 1, 1989
Limit State Analysis of Masonry Domes
Authors: Irving J. Oppenheim, Member, ASCE, David J. Gunaratnam, and Robert H. Allen, Member, ASCEAuthor Affiliations
Publication: Journal of Structural Engineering
Volume 115, Issue 4
Abstract
Renaissance ogival domes of unreinforced stone masonry can be analyzed as structures of rigid material with no tensile strength. Solutions can be obtained for the static equilibrium of the structure; the results represent an extension or variant to membrane shell theory. A limiting shell thickness is found at which a kinematic collapse mechanism develops. The limit state analysis also identifies the role of hoop stress in permitting the construction of such a shell without centering. The analysis has its counterpart in a study published in 1742, that being the first modern structural analysis. The analysis procedure shows the clear relation between geometry (shell shape) and internal forces.
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References
1.
Abramowitz, M., and Stegan, I. A. (1972). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Nat. Bureau of Standards, Washington D.C.
2.
Heyman, J. (1977). Equilibrium of shell structures. Clarendon Press, Oxford, England.
3.
Mainstone, R. J. (1975). Developments in structural form. MIT Press, Cambridge, Mass.
4.
Oppenheim, I. J. (1982). “Limit analysis of masonry domes.” Proc. Second North American Masonry Conf., College Park, Md.
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Copyright © 1989 ASCE.
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Published online: Apr 1, 1989
Published in print: Apr 1989
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Irving J. Oppenheim, Member, ASCE
Assoc. Prof., Dept. of Arch, and Civ. Engrg., Carnegie‐Mellon Univ., Pittsburgh, PA 15213
David J. Gunaratnam
Senior Lec., Univ. of the West Indies, St. Augustine, Trinidad
Robert H. Allen, Member, ASCE
Asst. Prof., Dept. of Mech. Engrg., Univ. of Delaware, Newark, DE 19716
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