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P = applied axial force
Pc= the “classical” buckling force (See the formula two slides ago)
R = radius of the cylindrical shell
t = wall thickness of the cylindrical shell
From:
J. Arbocz (1) and J.H. Starnes Jr (2)
(1) Delft University of Technology, Faculty of Aerospace Engineering, Koiter Institute, Postbus 5058, 2600 Delft, The Netherlands
(2) NASA Langley Research Center, Hampton, VA USA
“Future directions and challenges in shell stability analysis”, Thin-Walled Structures, Vol. 40, No. 9, September 2002, pp. 729–754, DOI: 10.1016/S0263-8231(02)00024-1
ABSTRACT: Recent advances in structural analysis and design technology for buckling-critical shell structures are discussed. These advances include a hierarchical analysis strategy that includes analyses that range from classical analysis methods to high-fidelity nonlinear finite element analysis methods, reliability based design methods, the development of imperfection data bases, and the identification of traditional and nontraditional initial imperfections for composite shell structures. When used judiciously, these advances provide the basis for a viable alternative to the traditional and conservative lower-bound design philosophy of the 1960s. These advances also help answer the question of why, after so many years of concentrated research effort to understand the behavior of buckling-critical thin-walled shells, one has not been able to improve on this conservative lower- bound design philosophy in the past.
This is Fig. 1 from that paper:
Fig. 1. Test data for isotropic cylinders subjected axial compression.
P = axial load; Pc = "classical" buckling load of perfect shell; R = radius of cylindrical shell; t = thickness of cylindrical shell
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