TECHNICAL NOTES
Jun 1, 1985
Limit State Analysis of Arch Segments
Publication: Journal of Structural Engineering
Volume 111, Issue 6
Abstract
A simple, yet useful limit state analysis is performed on a statically determinate arch segment. A failure mode is assumed and relationships governing the kinematic failure mechanism are discovered using statics. The fracture is observed to occur at the midpoint and a minimum thickness to length ratio is found to be 0.150 to insure against brittle failure. The least desirable position of the arch segment is at 52° with respect to the horizontal.
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References
1.
Heyman, J., “The Stone Skeleton,” International Journal of Solids and Structures, Vol. 2, 1966, pp. 249–279.
2.
Heyman, J., Equilibrium of Shell Structures, Clarendon Press, Oxford, England, 1977.
3.
Oppenheim, I. J., “Limit Analysis of Masonry Domes,” Proceedings of the North American Masonry Conference, College Park, Md., Aug., 1982.
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Copyright © 1985 ASCE.
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Published online: Jun 1, 1985
Published in print: Jun 1985
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R. H. Allen
Asst. Prof., Dept. of Mech. Engrg., Univ. of Houston, Houston, Tex. 77004
I. J. Oppenheim, Members, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Carnegie‐Mellon Univ., Pittsburgh, Pa.
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