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The Buckling of Grids of Stringers and Ribs
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/s2-48.1.1
Subject(s) - grid , plane (geometry) , mathematics , buckling , geometry , enhanced data rates for gsm evolution , rib cage , structural engineering , section (typography) , core (optical fiber) , set (abstract data type) , mathematical analysis , engineering , computer science , telecommunications , programming language , operating system
The paper describes a theoretical analysis of the stability of a plane rectangular grid consisting of two sets of parallel members (stringers and ribs) intersecting at right angles, when loaded in compression parallel to one set of members (the stringers). Both sets are composed of similar members of uniform section uniformly spaced and the ends of all members are held in the original plane of the grid. The exact solution of this problem appropriate to certain edge conditions is obtained both by consideration of the equations of equilibrium and by the Rayleigh‐Hitz energy method.