Analysis of Torispherical Pressure Vessels

by Ganapathy V. Ranjan, Research Asst.; Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif.,
Charles R. Steele, Prof.; Dept. of Mech. Engrg., Stanford Univ., Stanford, Calif.,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 4, Pg. 643-657

Document Type: Journal Paper


The stress analysis of a torispherical pressure vessel is studied with the aid of two asymptotic expansions, one valid for large toroidal segments and another valid for smaller knuckles. A simple design formula for the maximum stress in the toroidal segment is obtained, which is in close agreement with experimental and with direct numerical results. Nonlinear prestress effect is also included. Graphs are presented from which stress concentration can be easily determined for a wide variation of parameters. A simple condition that yields the optimum toroidal radius for prescribed spherical cap and cylinder geometries is presented. Also, a reasonable lower limit for the critical internal pressure at which wrinkles are formed along the circumference of the toroid is found.

Subject Headings: Pressure vessels | Stress analysis | Agreements and treaties | Numerical methods | Nonlinear response | Prestressing | Parameters (statistics) | Cylinders

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