Lateral buckling of nonprismatic cantilevers using weighted residuals

Baker G. (1993) Lateral buckling of nonprismatic cantilevers using weighted residuals. Journal of Engineering Mechanics, 119 10: 1899-1919. doi:10.1061/(ASCE)0733-9399(1993)119:10(1899)


Author Baker G.
Title Lateral buckling of nonprismatic cantilevers using weighted residuals
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
Publication date 1993
Sub-type Article (original research)
DOI 10.1061/(ASCE)0733-9399(1993)119:10(1899)
Volume 119
Issue 10
Start page 1899
End page 1919
Total pages 21
Subject 2210 Mechanical Engineering
2211 Mechanics of Materials
Abstract This paper presents a general weighted residual formulation (both collocation and Galerkin) for the problem of the lateral buckling of nonprismatic cantilevers. The approach is first validated against exact solutions to the linear elastic, prismatic case, and then against the available data for the elastic stability of beams with a linear taper. Complete results are given for both rectangular and inverted T sections with linear and parabolic web tapers subjected to either a distributed load or an end point load, for a number of span to depth ratios; the effect of applying the load through the top fiber, rather than the centroid, is also studied. For the limiting cases where results have been cited by others, the values obtained are shown to compare well. Finally, the technique is used to study buckling of inverted T sections when material nonlinearity is included. This is achieved by providing functional forms for the degradation of flexural and torsional stiffness with load, the aim being purely to assess the relevance of buckling as an ultimate limit state.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
Versions
Version Filter Type
Citation counts: Scopus Citation Count Cited 3 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 14 Jun 2016, 05:29:18 EST by System User