Behavior of Cylindrical Steel Shells Supported on Local Brackets

The connection of a local support to an elevated cylindrical metal silo shell is a long-standing difficult problem in shell analysis, and most designs are based on simple ideas using past experiences of successes and failures. Smaller silo structures are often supported on local brackets attached to the side of the shell, but very few investigations of the behavior or strength of such an arrangement have ever been made. This paper presents an outline description of the behavior of a cylindrical steel shell that is discretely supported on several brackets, each rigidly connected to a stiff column or floor. The linear, materially nonlinear, geometrically nonlinear, and bifurcation behaviors of the shell under these conditions are outlined. In this problem the prebuckling deformations, bifurcation mode, and plastic collapse mode are each local. This configuration presents some interesting questions concerning the relative importance of geometric nonlinearity and geometric imperfections. The problem is recommended to advanced shell analysts as a benchmark test of their analysis and interpretation techniques.

[1]  Phillip L. Gould,et al.  Column Supported Cylindrical-Conical Tanks , 1976 .

[2]  W. Flügge Stresses in Shells , 1960 .

[3]  J. M. Rotter,et al.  Buckling strength of thin cylindrical shells under localised axial compression , 2002 .

[4]  Cornelia Doerich,et al.  Strength and stability of locally supported cylinders , 2007 .

[5]  J. M. Rotter,et al.  Cylindrical shells under axial compression , 2004 .

[6]  Martin Gillie,et al.  Behaviour of Silos Supported on Discrete Brackets , 2002 .

[7]  Archibald N. Sherbourne,et al.  Buckling of Cylindrical Shells Under Axial Compression , 1967 .

[8]  S. Timoshenko,et al.  Theory of Elasticity (3rd ed.) , 1970 .

[9]  Charles Massonnet,et al.  Plastic analysis and design of plates, shells and disks , 1972 .

[10]  J. G. Teng,et al.  Linear bifurcation of perfect column-supported cylinders: Support modelling and boundary conditions , 1992 .

[11]  G. Simitses,et al.  Elastic stability of circular cylindrical shells , 1984 .

[12]  W. Guggenberger Proposal for design rules of axially loaded steel cylinders on local supports , 1998 .

[13]  A. Kildegaard Bending of a Cylindrical Shell Subject to Axial Loading , 1969 .

[14]  James H. Starnes,et al.  THE NASA MONOGRAPHS ON SHELL STABILITY DESIGN RECOMMENDATIONS - A REVIEW AND SUGGESTED IMPROVEMENTS , 1997 .

[15]  Phillip L. Gould,et al.  Continuously Supported Cylindrical-Conical Tanks , 1974 .

[16]  Werner Guggenberger Buckling of Cylindrical Shells under Local Axial Loads , 1991 .

[17]  J. M. Rotter,et al.  Buckling in Thin Elastic Cylinders on Column Supports , 1991 .

[18]  W. Guggenberger,et al.  Buckling behaviour of axially loaded steel cylinders on local supports—with and without internal pressure , 1998 .

[19]  J. M. Rotter,et al.  The Behaviour of Locally-Supported Cylindrical Shells: Unstiffened Shells , 2000 .

[20]  J. Michael Rotter,et al.  Shell structures: the new European standard and current research needs , 1998 .

[21]  J. M. Rotter,et al.  A Study of Buckling in Column-Supported Cylinders , 1992 .

[22]  J. M. Rotter,et al.  Buckling of thin metal shells , 2004 .

[23]  E. Reissner,et al.  Note on the Problem of the Distribution of Stress in a Thin Stiffened Elastic Sheet. , 1940, Proceedings of the National Academy of Sciences of the United States of America.

[24]  J. M. Rotter,et al.  Settlement beneath cylindrical shells , 2004 .

[25]  S. Timoshenko,et al.  Theory of elasticity , 1975 .