Membrane Solutions for Shells with Edge Constraint

by Charles R. Steele, Prof.; Stanford Univ., Stanford, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1974, Vol. 100, Issue 3, Pg. 497-510

Document Type: Journal Paper


Several problems in the analysis of shells of revolution are examined for which only the membrane solutions are needed. The significant displacement of truncated shells and domes under snow, wind, and end loads can be obtained for realistic conditions of edge constraint. With a variational method the higher harmonics of prescribed edge displacements are handled without an explicit calculation of the displacement field. The calculation of edge bending stress is trivial. The procedure is particularly well-suited to the calculation of thermal stresses in a shell with constrained edges.

Subject Headings: Displacement (mechanics) | Membranes | Snow loads | Wind loads | Thermal loads | Domes (structure) | Load factors | Thermal analysis

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