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The Buckling of a Thin Sheet Transversely Stiffened
Author(s) -
Cox H. L.,
Smith H. E.
Publication year - 1945
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s2-48.1.27
Subject(s) - buckling , flexural rigidity , rayleigh–ritz method , structural engineering , rib cage , energy method , transverse plane , rigidity (electromagnetism) , mathematics , stiffness , mathematical analysis , finite element method , engineering
The paper describes a theoretical analysis of the stability of a thin rectangular sheet with transverse ribs, simply supported at all edges, when subjected to compressive end load. The method is the Rayleigh‐Ritz energy method. The results obtained in the previous paper by the same authors, “The buckling of grids of stringers and ribs”, have been freely used. A “buckling equation” has been obtained from which it is possible to calculate the requisite flexural stiffness of the ribs in any case, assuming a value for their torsional rigidity.