Design Criterion for Circumferential Ring Stiffeners for a Cone Loaded by External Pressure

摘要

Basic ring load solutions are derived which act on a conical shell; these results are applied to a design criterion for circumferential ring stiffeners for a cone loaded by external pressure. The analysis leading to the solution is summarized by discussing (1) the basic equations of a linearized thin-shell theory for axially symmetric deformation, (2) the general solution of the linearized cone theory, (3) the solution for ring load of normal pressure, (4) the solution for ring load of shear, (5) the behavior of the conical shell at the ring load location, (6) asymptotic approximation of the integrals involved in the evaluation of the vertical displacement, and (7) superposition of the preceding cases to obtain a purely radial ring load. The procedure for formulating the desired design criterion is developed by suitable assumptions and application of the preceding results. The pertinent design information includes the reaction force on a ring stiffener, spacing of rings, and stresses in the cone under a ring. (Author)