Explicit Solutions for the Design of Initially Deformed Plates Subject to Compression.

Williams, D. G.; Walker, Alastair

doi:10.1680/iicep.1975.3638

Cited by 20 publications

(13 citation statements)

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“…Bakker et al (2006) and Rosmanit and Bakker (2006-a), showed that the elastic load-deformation behavior of uniformly compressed square plates under load up to three times the critical load can accurately be described by a modification of a large deflection solution given by Williams and Walker (1975 …”

Section: Elastic Behavior According To the Modified Strip Modelmentioning

confidence: 99%

Post-Buckling Strength of Uniformly Compressed Plates

Rosmanit¹,

Bakker²

2010

Transactions of the VŠB - Technical University of Ostrava. Construction Series

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This paper focuses on the development of simple models for describing the influence of initial out-of-plane imperfections on the post-buckling strength of square uniformly compressed plates without stiffeners. This is the first step in gaining a better understanding of the behavior of compression flanges of cold-formed steel members, necessary for the development of new, accurate and insight providing design rules for first and second generation trapezoidal profiled sheeting, subjected to the combined action of a concentrated load (support reaction) and a bending moment. KeywordsPlate, compression, post-buckling, elastic, imperfection. AbstraktPředmětem článku je vývoj jednoduchého modelu popisujícího pokritické chování čtvercových rovnoměrně tlačených nevyztužených stěn se zahrnutím vlivu počátečních imperfekcí. Tento výzkum může být chápán jako první krok pro lepší pochopení chování tlačených stěn tenkostěnných ocelových profilů, je nezbytný pro vývoj nového přesného a zároveň jednoduchého výpočetního postupu pro návrh první a druhé generace trapézových plechů namáhaných kombinací zatížení osamělým břemenem a ohybovým momentem (v místě nad vnitřní podporou).

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Section: Elastic Behavior According To the Modified Strip Modelmentioning

confidence: 99%

Post-Buckling Strength of Uniformly Compressed Plates

Rosmanit¹,

Bakker²

2010

Transactions of the VŠB - Technical University of Ostrava. Construction Series

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“…Williams and Walker [10] gave an explicit solution for the elastic far post-buckling analysis of compressed plates. The format of their expressions is based on the perturbation approach, but the value of the constants in these expressions has been determined from numerical simulations (using the finite difference method).…”

Section: Far Post-buckling Solutionmentioning

confidence: 99%

“…For a square plate with simply supported edges, subjected to uniaxial compression with the unloaded edges stress free, Williams and Walker [10] give the following values for the From Eqs. (32), (38) and (39) the load F can be solved:…”

Section: Far Post-buckling Solutionmentioning

confidence: 99%

“…In the perturbation approach by Williams and Walker [10], both the coefficients A W&W and B W&W were determined from the results of numerical solutions. In this paper it is proposed to take the coefficients A equal to the coefficients determined in the initial post-buckling solution of the Marguerre equations, and fitting the coefficient B to the results of numerical simulations, using the format of Eqs.…”

Section: Far Post-buckling Solutionmentioning

confidence: 99%

“…For more results see Rosmanit and Bakker [11]. The advantage of the modified far post-buckling solution to the far post-buckling solution given by Williams and Walker [10] is that the equations of the modified far post-buckling solution are easier to use. Also the modified far post-buckling solution is more consistent, since for small deflections the modified far postbuckling solution will converge to the initial post-buckling solution, while the far post-buckling solution will not.…”

Section: Far Post-buckling Solutionmentioning

confidence: 99%

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