Optimization of mono- and anti-symmetrical I-sections of cold-formed thin-walled beams

Magnucki, Krzysztof; Rodak, Marcin; Lewiński, Jerzy

doi:10.1016/j.tws.2006.08.009

Cited by 18 publications

(10 citation statements)

References 19 publications

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“…[15,16,18]). It is shown that optimising the crosssectional geometry of simply-supported CFS beams subjected to uniformly distributed vertical [10,12,13] or transverse load [14] can substantially improve their flexural capacity. However, due to cross-sectional shape restrictions in size optimisation methods, the efficiency of the optimised sections may drop slightly from self-shape optimisation solutions [8,9].…”

Section: Introductionmentioning

confidence: 99%

Development of optimum cold-formed steel beams for serviceability and ultimate limit states using Big Bang-Big Crunch optimisation

Mojtabaei

Hajirasouliha

2019

Engineering Structures

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Cold-formed steel (CFS) elements are increasingly used as main structural members in modern construction practice. While flexibility of CFS cross-sectional shape allows achieving higher load carrying capacities by using more efficient shapes, obtaining optimum design solutions can be a challenging task due to end-use constraints and complex behaviour of CFS elements controlled by local, global and distortional buckling modes. This study aims to develop a practical methodology for optimum design of CFS beam sections with maximum flexural strength and minimum deflection under ultimate and serviceability load conditions, respectively, in accordance with Eurocode 3 by taking into account manufacturing and end-use design constrains. Population-based Big Bang Big Crunch Optimisation method is employed to obtain optimum design solutions for twelve different CFS cross-sectional prototypes. To verify the flexural strength and stiffness of the optimum beam sections, detailed nonlinear finite element (FE) models are developed using ABAQUS by considering both material nonlinearity and initial geometrical imperfections. It is shown that the optimised sections based on serviceability limit state (SLS) and ultimate limit state (ULS) can provide, respectively, up to 44% higher effective stiffness and 58% higher bending moment capacity compared to a standard lipped channel beam section with the same plate width and thickness. Using plain channel and folded-flange sections generally leads to the best design solutions for SLS and ULS conditions, respectively. Finally, the results of detailed FE models are used to evaluate the adequacy of EC3 proposed procedures to estimate CFS beam capacity and deflection at ULS and SLS, respectively.

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Section: Introductionmentioning

confidence: 99%

Development of optimum cold-formed steel beams for serviceability and ultimate limit states using Big Bang-Big Crunch optimisation

Mojtabaei

Hajirasouliha

2019

Engineering Structures

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“…However, the strengthening (the increase of the critical load) of anti-symmetric lipped beams may be observed (Table 1). Experimental investigations of anti-symmetric non-lipped (without lips) I-section beams are presented in [12]. The critical load of lipped beams is about 25% higher than non-lipped beams.…”

Section: Article In Pressmentioning

confidence: 99%

Experimental investigations of buckling of lipped, cold-formed thin-walled beams with I-section

Paczos

Wasilewicz

2009

Thin-Walled Structures

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“…While the design variables in sizing optimisation are the dimensions of a predetermined shape [3][4][5][6][7][8][9][10][11][12], the vector of design variables in shape optimisation represents the boundary of the structural domain [13][14][15][16][17]. A major challenge in shape optimisation is the large number of design variables and constraints that need to be taken into account.…”

Section: Introductionmentioning

confidence: 99%

Shape optimization of thin-walled steel sections using graph theory and ACO algorithm

Sharafi

Teh

Hadi

2014

Journal of Constructional Steel Research

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Shape optimization of thin-walled steel sections using graph theory and ACO Shape optimization of thin-walled steel sections using graph theory and ACO algorithm algorithm Abstract Abstract This paper presents an intuitive procedure for the shape and sizing optimizations of open and closed thinwalled steel sections using the graph theory. The goal is to find shapes of optimum mass and strength (bi-objectives). The shape optimization of open sections is treated as a multi-objective all-pairs shortest path problem, while that of closed sections is treated as a multi-objective minimum mean cycle problem. The sizing optimization of a predetermined shape is treated as a multi-objective single-pair shortest path problem. Multi-colony ant algorithms are formulated for solving the optimization problems. The verification and numerical examples involving the shape optimizations of open and closed thin-walled steel sections and the sizing optimization of trapezoidal roof sheeting are presented. Abstract This paper presents an intuitive procedure for the shape and sizing optimisations of open and closed thin-walled steel sections using the graph theory. The goal is to find shapes of optimum mass and strength (bi-objectives). The shape optimisation of open sections is treated as a multi-objective all-pairs shortest path problem, while that of closed sections is treated as a multi-objective minimum mean cycle problem. The sizing optimisation of a predetermined shape is treated as a multi-objective single-pair shortest path problem. Multi-colony ant algorithms are formulated for solving the optimisation problems. The verification and numerical examples involving the shape optimisations of open and closed thin-walled steel sections and the sizing optimisation of trapezoidal roof sheeting are presented.

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Optimization of mono- and anti-symmetrical I-sections of cold-formed thin-walled beams

Cited by 18 publications

References 19 publications

Development of optimum cold-formed steel beams for serviceability and ultimate limit states using Big Bang-Big Crunch optimisation

Development of optimum cold-formed steel beams for serviceability and ultimate limit states using Big Bang-Big Crunch optimisation

Experimental investigations of buckling of lipped, cold-formed thin-walled beams with I-section

Shape optimization of thin-walled steel sections using graph theory and ACO algorithm

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