Buckling Criteria for Torispherical Heads Under Internal Pressure

[+] Author and Article Information
Clarence D. Miller

Consulting Engineer, Bloomington, IN 47401e-mail: cdmnjm@aol.com

J. Pressure Vessel Technol 123(3), 318-323 (Oct 16, 2000) (6 pages) doi:10.1115/1.1360692 History: Received September 08, 2000; Revised October 16, 2000
Copyright © 2001 by ASME
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Kalnins,  A, and Updike,  D. P., 1991, “New Design Curves for Torispherical Heads,” Weld. Res. Counc. Bull., 364, pp. 1–46.
ASME Section VIII, Divisions 1 and 2. ASME Boiler and Pressure Vessel Code.
ASME Code Cases 2260 and 2261, “Alternative Rules for Design of Ellipsoidal and Torispherical Heads for Section VIII,” Divisions 1 and 2 Vessels.
Rana, M. D., and Kalnins, A., 1998, “Technical Basis for Proposed Code Case on Design of Ellipsoidal and Torispherical Heads for Section VIII Vessels,” ASME/PVP Conference.
Miller, C. D., 1998, “Buckling Criteria for Torispherical Heads Under Internal Pressure,” Final Report, PVRC Grant 96-25, Pressure Vessel Research Council.
Miller, C. D., 1999, “Buckling Criteria for Torispherical Heads Under Internal Pressure,” Weld. Res. Counc. Bull., 444 .
Shield,  R. T., and Drucker,  D. C., 1961, “Design of Thin Walled Torispherical and Toriconical Pressure Vessel Heads,” ASME J. Appl. Mech., 28, pp. 292–297.
CODAP. French Pressure Vessel Code, CODAP, 1995. Section C3, Calculation Rules for Ends Subject to an Internal Pressure.
ECCS. European Convention for Constructional Steelwork, Buckling of Steel Shells: European Recommendations, Fourth Edition, 1988.
Roche, R. L., and Autrusson, B., 1984, “Experimental Tests on Buckling of Torispherical Heads: Comparison With Plastic Bifurcation Analysis,” ASME PVP-Vol. 89, pp. 109–122.
Roche R. L., Alix, M., and Autrusson, B., 1984, “Design Rules Against Buckling of Dished Heads,” Fifth Int. Conf. on Pressure Vessel Technology, ASME, pp. 274–289.
Galletly,  G. D., 1986, “A Simple Design Equation for Preventing Buckling in Fabricated Torispherical Shells Under Internal Pressure,” ASME J. Pressure Vessel Technol., 108, pp. 521–526.
Knarr, P. L., 1955, “An Investigation of: (1) Large Thin Stainless Steel Heads Under Internal Pressure That Buckled During Hydrostatic Test and (2) The 1952 ASME Code, Section VIII, Head Formulae and Allowable Stresses Used to Design These Heads,” Informal Report 1110, Linde Air Products Co. (Now Praxair, Inc.), Tonawanda, NY.


Grahic Jump Location
Torispherical head geometry
Grahic Jump Location
Comparison of recommended design equations



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