Buckling of Open Cylindrical Shells under Lateral Load

by Kuang-Han Chu, (F.ASCE), Prof. of Civ. Engrg.; Illinois Inst. of Technol., Chicago, IL,
Peter Turula, (A.M.ASCE), Struct. Engr.; Design Res. Sec., Portland Cement Assoc., Skokie, IL,

Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 6, Pg. 1143-1156

Document Type: Journal Paper


A technique for obtaining the buckling load of open cylindrical shells with simply supported ends and free longitudinal edges, subjected to lateral gravity loading, is presented. General equations based on the large deflection theory are developed and a set of nonlinear finite difference equations is obtained and solved by the Newton-Raphson method. Using the linear terms only, deflections and stresses based on relatively coarse nets compared favorably with existing analytical solutions. The lowest nonlinear buckling load was found to be associated with a deflection pattern symmetric about the transverse centerline, but asymmetric about the longitudinal centerline. In an example, equilibrium paths and deflection patterns were obtained for a shell subjected to uniform load, and to uniform load with a small additional antisymmetric load. The lowest buckling under uniform load was obtained by reducing this additional load to zero. For the example examined, the buckling load was about 1/2 of the classical linear buckling pressure of a full cylinder.

Subject Headings: Lateral loads | Displacement (mechanics) | Gravity loads | Longitudinal loads | Buckling | Cylindrical shells | Load factors | Linear analysis

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