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.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 115 • Issue 4 • April 1989
Pages: 868 - 882
Copyright
Copyright © 1989 ASCE.
History
Published online: Apr 1, 1989
Published in print: Apr 1989
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Authors
Affiliations
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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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.