Elastic lateral stability of I-shaped cellular steel beams

Sweedan, Amr M.I.

doi:10.1016/j.jcsr.2010.08.009

Cited by 79 publications

(38 citation statements)

References 12 publications

(22 reference statements)

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“…The important advantage of the steel beam castellation process is that the designer can increase the depth of a beam to raise its strength without adding steel. The resulting castellated beam is approximately 50% deeper and much stronger than the original unaltered beam [2][3][4][5].…”

Section: Introductionmentioning

confidence: 93%

A hybrid optimization algorithm for the optimal design of laterally-supported castellated beams

Kaveh

Shokohi

2016

Scientia Iranica

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Abstract. In this paper, a hybrid method is developed for optimum design of castellated beams by combining two meta-heuristic algorithms, namely the Colliding Bodies Optimization (CBO) and Particle Swarm Optimization (PSO). In this hybrid algorithm (CBO-PSO), positive features of PSO are added to the CBO. Two common types of laterally supported castellated beams are considered to be the design problems: beams with hexagonal openings and beams with circular openings. These beams have found widespread usage in buildings because of great savings in materials and construction costs. Here, the minimum cost is taken as the design objective function and the new hybrid method is utilized for obtaining the solution of some benchmark problems. Comparison of the results of the CBO-PSO with those of some other meta-heuristics demonstrates the capability of the presented optimization algorithm. For most of the examples, the results obtained by CBO-PSO have less cost than those of the other considered methods. It is also concluded that the beams with hexagonal openings require smaller amount of steel, hence being superior to the beams with cellular openings.

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Section: Introductionmentioning

confidence: 93%

A hybrid optimization algorithm for the optimal design of laterally-supported castellated beams

Kaveh

Shokohi

2016

Scientia Iranica

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“…The authors have found that shell elements could consider local buckling, section distortion, and the local effects of concentrated loads and boundary conditions, which were all ignored in the beam element theory; Dolamune Kankanamge and Mahendran [19] use ABAQUS [18] to investigate the LTB behavior of simply supported cold-formed steel lipped channel beams subjected to uniform bending. The authors have found that European design rules are conservative, while Australian/North American design rules are unconservative; Tong [20] uses ANSYS [21] to regress the design formula for the singly symmetric I-beams under linear distributed moment; Sweedan [22] adopts ANSYS to numerically investigate the lateral stability of cellular steel beams subjected to equal end moments, midspan concentrated loads, and uniformly distributed loads; Serna et al [10] use Cosmos/M27 [23] to simulate the lateraltorsional buckling of the I-beams.…”

Section: Introductionmentioning

confidence: 99%

Dimensionless Analytical Solution and New Design Formula for Lateral‐Torsional Buckling of I‐Beams under Linear Distributed Moment via Linear Stability Theory

Zhang

Liu

Chen

et al. 2017

Mathematical Problems in Engineering

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Even for the doubly symmetric I-beams under linear distributed moment, the design formulas given by codes of different countries are quite different. This paper will derive a dimensionless analytical solution via linear stability theory and propose a new design formula of the critical moment of the lateral-torsional buckling (LTB) of the simply supported I-beams under linear distributed moment. Firstly, the assumptions of linear stability theory are reviewed, the dispute concerning the LTB energy equation is introduced, and then the thinking of Plate-Beam Theory, which can be used to fully resolve the challenge presented by Ojalvo, is presented briefly; secondly, by introducing the new dimensionless coefficient of lateral deflection, the new dimensionless critical moment and Wagner's coefficient are derived naturally from the total potential energy. With these independent parameters, the new dimensionless analytical buckling equation is obtained; thirdly, the convergence performance of the dimensionless analytical solution is discussed by numerical solutions and its correctness is verified by the numerical results given by ANSYS; finally, a new trilinear mathematical model is proposed as the benchmark of formulating the design formula and, with the help of 1stOpt software, the four coefficients used in the proposed dimensionless design formula are determined.

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“… The Elliptical Cellular beam developed base on typical hexagonal web-opening shape has fix on dimension ratio, suitable for practical application. [18].…”

Section: Introductionmentioning

confidence: 99%

“…And the use of sectional properties at the web-opening section to evaluate the lateral torsional buckling moment of the beam is unreal and too conservative. Although there are some previous researches on lateral torsional buckling behavior [14][15][16][17][18][19][20] and design [21][22][23] of Cellular and Castellated beam, these researches have not obviously included all the design ranges of the beams and not extended to the elliptical opening shape. So the purpose of this paper is to conduct the parametric study and propose a simplified coefficient function for precisely evaluate the lateral torsional buckling moment of Elliptical Cellular beam in both elastic and inelastic buckling range throughout finite element analysis.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Finite Element Analysis to Evaluate Lateral Torsional Buckling Moment of Elliptical Cellular Steel Beams

Phuvoravan

Ponsorn

2017

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Abstract. In evaluation the lateral torsional buckling moment of Elliptical Cellular beams, it cannot be accurately calculated using a simple model because the sectional properties of the Elliptical Cellular beam are not constant along the beam length. Consideration of sectional properties at the web-post section will certainly lead to unconservative results, while consideration of sectional properties at the web-opening section is also unreal and yield conservative design. Therefore, the main objective of this paper is to present the guideline to evaluate the lateral torsional buckling moment capacity of Elliptical Cellular beam for conservative and more precise results. The study has been performed throughout finite element analysis in both elastic and inelastic buckling behavior subjected to equal beam-end moments. More than 15 sections, 120 of beam models were simulated and analyzed with verified finite element modelling by using shell elements. The results of this study show that calculation the lateral torsional buckling moment of Elliptical Cellular beam with the original equation given in AISC standard using sectional properties at the web-post section gives unsafe results with approximately 5% error in elastic range and up to 20% error in inelastic and plastic range. Nonetheless, evaluation the lateral torsional buckling moment by using the proposed reduction factor has yielded the conservative results, yet more precision, more economic and less distribution of the results than the evaluation using sectional properties at the web-opening section.

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Elastic lateral stability of I-shaped cellular steel beams

Cited by 79 publications

References 12 publications

A hybrid optimization algorithm for the optimal design of laterally-supported castellated beams

A hybrid optimization algorithm for the optimal design of laterally-supported castellated beams

Dimensionless Analytical Solution and New Design Formula for Lateral‐Torsional Buckling of I‐Beams under Linear Distributed Moment via Linear Stability Theory

Nonlinear Finite Element Analysis to Evaluate Lateral Torsional Buckling Moment of Elliptical Cellular Steel Beams

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