• Steel and Composite Structures
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• 제4권1호
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• pp.23-36
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• 2004

The inelastic lateral-distortional buckling of doubly-symmetric hot-rolled I-section beam-columns subjected to a concentric axial force and uniform bending with elastic restraint which produce single curvature is investigated in this paper. The numerical model adopted in this paper is an energy-based method which leads to the incremental and iterative solution of a fourth-order eigenproblem, with very rapid solutions being obtained. The elastic restraint considered in this paper is full restraint against translation, but torsional restraint is permitted at the tension flange. Hitherto, a numerical method to analyse the elastic and inelastic lateral-distortional buckling of restrained or unrestrained beam-columns is unavailable. The prediction of the inelastic lateral-distortional buckling load obtained in this study is compared with the inelastic lateral-distortional buckling of restrained beams and the inelastic lateral-torsional buckling solution, by suppressing the out-of-plane web distortion, is published elsewhere and they agree reasonable well. The method is then extended to the lateral-distortional buckling of continuously restrained doubly symmetric I-sections to illustrate the effect of web distortion.

• 대한토목학회논문집
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• 제28권6A호
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• pp.779-788
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• 2008

본 논문에서는 편재하된 하중이 작용하는 제형 다실 박스거더의 정확한 뒤틀림 거동규명을 위해 3차원 쉘 요소를 사용한 해석법이 제안된다. 쉘 요소를 사용한 독립적인 뒤틀림 해석을 위해서는 정확한 뒤틀림 하중을 산정해야 하는데 본 논문에서는 정역학적인 힘의 평형조건 및 중첩의 원리를 토대로 작용하는 편재하된 하중을 제형 다실 박스거더의 주요한 거동을 유발하는 하중들로 분해하는 하중분해식을 유도하였다. 제안된 하중분해식에 의해 편재하된 하중은 휨과 비틂 그리고 뒤틀림 거동을 유발하는 하중들로 분해되고 이렇게 분해된 하중들을 쉘 요소에 적용하면 각 거동의 독립적인 해석결과를 얻을 수 있다. 이러한 독립적인 해석법은 다실 박스거더의 주요 거동의 역학적 특성을 이해하는 데 매우 유용할 것이고 특히 박스거더의 뒤틀림 거동에 대해 명확히 규명할 수 있는 기반을 마련할 수 있을 것이다. 그리고 현장의 설계자가 복잡한 뒤틀림 상수들을 계산하지 않고도 간단한 쉘요소 모델을 이용하여 독립적인 뒤틀림 해석을 수행할 수 있도록 큰 도움을 줄 수 있을 것이다.

• Steel and Composite Structures
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• 제14권3호
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• pp.243-265
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• 2013

Distortional and local buckling are important factors that influences the bearing capacity of steel-concrete composite box-beam. Through theoretical analysis of distortional buckling forms, a stability analysis calculation model of composite box beam considering rotation of steel beam top flange is presented. The critical bending moment calculation formula of distortional buckling is established. In addition, mechanical behaviors of a steel beam web in the negative moment zone subjected separately to bending stress, shear stress and combined stress are investigated. Elastic buckling factors of steel web under different stress conditions are calculated. On the basis of local buckling analysis results, a limiting value for height-to thickness ratio of a steel web in the elastic stage is proposed. Numerical examples are presented to verify the proposed models.

• Steel and Composite Structures
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• 제4권1호
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• pp.49-75
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• 2004

The paper derives, validates and illustrates the application of GBT-based formulae to estimate distortional critical lengths and bifurcation stress resultants in cold-formed steel rack-section columns, beams and beam-columns with arbitrarily inclined mid-stiffeners and four support conditions. After a brief review of the Generalised Beam Theory (GBT) basics, the main concepts and procedures employed to obtain the formulae are addressed. Then, the GBT-based estimates are compared with exact results and, when possible, also with values yielded by formulae due to Lau and Hancock, Hancock and Teng et al. A few remarks on novel aspects of the rack-section beam-column distortional buckling behaviour, unveiled by the GBT-based approach, are also included.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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• pp.401-408
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• 2001

The main objective of this study is to analyze the distortion of curved steel box girders. For the distortional analysis of steel box girders, two approaches are presented. One is the development of approximate formulas obtained by applying Ritz method. The other is the formulation of stiffness matrix which is derived from the exact solution of the differential equation for distortion. Distortional analysis is carried out by utilizing 3-dimensional elements of a structural analysis computer program (SAP2000). The present analysis focuses on the distortional stress and the effects of the diaphragm. The results of several example cases are compared with those by the Nakai, Sakai, Heins, and Oleinik's theory and get the effect of diaphragm spacing on the distortional warping stress of the curved steel box girder.

• Steel and Composite Structures
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• 제23권3호
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• pp.331-338
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• 2017

Cold-formed lipped channel columns (CFLCCs) have been widely used in light gauge steel constructions. The distortional buckling is one of the important buckling modes for CFLCCs and the distortional buckling critical load depends significantly on the rotational restrain stiffness generated by the web to the lipped flange. First, a simplified explicit expression for the rotational restraint stiffness of the lipped flange has been derived. Using the expression, the characteristics of the rotational restraint stiffness of the lipped flange have been investigated. The results show that there is a linear coupling relationship between the applied forces and the rotational restraint stiffness of the lipped flange. Based on the explicit expression of the rotational restraint stiffness of the lipped flange, a simplified analytical formula has been derived which can determine the elastic distortional buckling critical stress of the CFLCCs subjected to axial compression. The simplified analytical formula developed in this study has been shown to be accurate through the comparisons with results from the distortional buckling analyses using the ANSYS finite element software. The developed analytical formula is easy to apply, and can be used directly in practical design and incorporated into future design codes and guidelines.

• Structural Engineering and Mechanics
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• 제90권2호
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• pp.117-125
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• 2024

This article presents the behaviour and design of cold-formed steel (CFS) web-stiffened lipped channel beams that primarily fail owing to the buckling interaction of distortional and global buckling modes. The incorporation of an intermediate stiffener in the web of the lipped channel improved the buckling performance leads to distortional buckling at intermediate length beams. The prediction of the strength of members that fail in individual buckling modes can be easily determined using the current DSM equations. However, it is difficult to estimate the strength of members undergoing buckling interactions. Special attention is required to predict the strength of the members undergoing strong buckling interactions. In the present study, the geometric dimensions of the web stiffened lipped channel beam sections were chosen such that they have almost equal distortional and global buckling stresses to have strong interactions. A validated numerical model was used to perform a parametric study and obtain design strength data for CFS web-stiffened lipped channel beams. Based on the obtained numerical data, an assessment of the current DSM equations and the equations proposed in the literature (for lipped channel CFS sections) is performed. Suitable modifications were also proposed in this work, which resulted in a higher level of design accuracy to predict the flexural strength of CFS web stiffened lipped channel beams undergoing distortional and global mode interaction. Furthermore, reliability analysis was performed to confirm the reliability of the proposed modification.

• 한국강구조학회 논문집
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• 제22권3호
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• pp.219-228
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• 2010

본 논문에는 압축력을 받는 국부좌굴, 뒤틀림좌굴 및 두 좌굴의 혼합좌굴이 발생하는 종방향 보강재가 부착된 강판의 거동 및 극한 강도에 대한 실험적인 연구를 서술하였다. 압축력을 받는 보강판의 경우 서브패널의 폭-두께비와 보강재의 휨강성에 따라서 국부좌굴, 뒤틀림좌굴 또는 두 좌굴의 혼합형태의 좌굴이 발생하게 되고, 상당한 크기의 후좌굴강도가 발현되어 보강판의 극한강도를 지배하게 된다. 보강재의 휨강성과 보강재로 구분된 서브패널의 폭-두께비가 다른 두께 4.0mm, 공칭항복강도 235MP인 SM400 강판으로 제작된 보강판의 중심압축실험을 수행하고 유한요소해석결과와 비교하여 검증하였다. 실험 결과에 근거하여 보강판의 극한강도를 예측할 수 있는 직접강도법을 적용한 설계압축강도식을 제안하였다. 제안된 직접강도법은 뒤틀림좌굴 또는 국부좌굴과 뒤틀림좌굴이 혼합하여 발생하는 종방향 보강재로 보강된 강판의 극한강도를 적절하게 예측할 수 있는 것으로 판단되었다.

• 한국전산구조공학회논문집
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• 제17권1호
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• pp.11-20
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• 2004

본 연구에서는 직선 강상자형 거더의 단면변형에 의한 변형 및 응력계산을 위한 Matlab 해석프로그램을 개발하고자 한다. 이를 위하여 단면변형이론을 요약하고 빔유사이론을 제시한다. 이후 탄성지반위의 보-기둥부재의 지배방정식을 제시하고, 일반화된 고유치해석을 통하여 집중 및 분포하중을 받는 보요소의 엄밀한 강성행렬을 계산한다. 본 연구의 효율성과 정확성을 입증하기 위하여 격벽을 갖는 상자형 거더의 뒤틀림응력을 계산하고 유한요소해와 비교한다.

• Steel and Composite Structures
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• 제20권1호
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• pp.57-70
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• 2016

The predominant type of buckling that I-steel concrete composite beams experience in the negative moment area is distortional buckling. The key factors that affect distortional buckling are the torsional and lateral restraints by the bottom flange. This study thoroughly investigates the equivalent lateral and torsional restraint stiffnesses of the bottom flange of an I-steel concrete composite beam under negative moments. The results show a coupling effect between the applied forces and the lateral and torsional restraint stiffnesses of the bottom flange. A formula is proposed to calculate the critical buckling stress of the I-steel concrete composite beams under negative moments by considering the lateral and torsional restraint stiffnesses of the bottom flange. The proposed method is shown to better predict the critical bending moment of the I-steel composite beams. This article introduces an improved method to calculate the elastic foundation beams, which takes into account the lateral and torsional restraint stiffnesses of the bottom flange and considers the coupling effect between them. The results show a close match in results from the calculation method proposed in this paper and the ANSYS finite element method, which validates the proposed calculation method. The proposed calculation method provides a theoretical basis for further research on distortional buckling and the ultimate resistance of I-steel concrete composite beams under a variable axial force.