Elastic-Plastic Analysis of Cylindrical Shells

by Nabil A. Shoeb, Asst. Prof.; Dept. of Civ. Engrg., Cairo Univ., Cairo, Egypt,
William C. Schnobrich, Prof. of Civ. Engrg.; Univ. of Illinois, Urbana, IL,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 1, Pg. 47-59

Document Type: Journal Paper


The behavior of cylindrical shells under a progressively increasing load is studied. For this purpose a mathematical model is used to replace the continuum. The model consists of rigid bars joined together by deformable nodes. The material is assumed elastic-perfectly plastic. The Prandtl-Reuss incremental theory of plasticity together with the von Mises yield condition are adopted. Two examples of cylindrical shells with different boundary conditions are presented. The deflections, forces, and moments in the shells are found for each load level till the ultimate load is reached. The load deflection characteristic and the progression of yield zones in the shells are found. The method can be extended to represent reinforced concrete behavior of shell roofs.

Subject Headings: Elastic analysis | Load factors | Ultimate loads | Cylindrical shells | Mathematical models | Elastoplasticity | Displacement (mechanics) | Reinforced concrete

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