• 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.

• 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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• 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.

• 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.

• 한국방재학회:학술대회논문집
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• 한국방재학회 2007년도 정기총회 및 학술발표대회
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• pp.71-74
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• 2007

Thin-walled multicell box girders subjected to an eccentric load can be produced the three global behaviors of flexure, torsion, and distortion. But it is very difficult to evaluate each influences of major behaviors numerically. If we can decompose an eccentric load P into flexural, torsional, and distortional forces, we can execute quantitative analysis each influences of major behaviors. Decomposition of Applied Load for Thin-walled Rectangular multi-cell box girders is researched by Park, Nam-Hoi(Development of a multicell Box Beam Element Including Distortional Degrees of Freedom, 2003). But researches about thin-walled trapezoidal multi-cell section is insufficient. So, this paper deals with decomposition process and independent analysis method of multi-cell box girders include trapezoidal section.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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• pp.43-50
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• 2002

Main goal of this study is to develop MATLAB programming for exact analysis of distortional deformation of the straight box girder. For this purpose, a theory for distortional deformation theory is firstly summarized and then a BEF (Beam on Elastic Foundation) theory is presented using analogy of the corresponding variables. Finally, the governing equation of the beam-column element on elastic foundation is derived. An element stiffness matrix of the beam element is established via a generalized linear eigenvalue problem. In order to verify the efficiency and accuracy of the element using exact dynamic stiffness matrix, buckling loads for the continuous beam structures with elastic foundation and distortional deformations of box girders are calculated.

• 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.

• Structural Engineering and Mechanics
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• 제64권5호
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• pp.621-640
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• 2017

This paper reports the numerical investigation conducted to study the influence of Local-Distortional (L-D) interaction mode buckling on post buckling strength erosion in fixed ended lipped channel cold formed steel columns. This investigation comprises of 81 column sections with various geometries and yield stresses that are carefully chosen to cover wide range of strength related parametric ratios like (i) distortional to local critical buckling stress ratio ($0.91{\leq}F_{CRD}/F_{CRL}{\leq}4.05$) (ii) non dimensional local slenderness ratio ($0.88{\leq}{\lambda}_L{\leq}3.54$) (iii) non-dimensional distortional slenderness ratio ($0.68{\leq}{\lambda}_D{\leq}3.23$) and (iv) yield to non-critical buckling stress ratio (0.45 to 10.4). The numerical investigation is carried out by conducting linear and non-linear shell finite element analysis (SFEA) using ABAQUS software. The non-linear SFEA includes both geometry and material non-linearity. The numerical results obtained are deeply analysed to understand the post buckling mechanics, failure modes and ultimate strength that are influenced by L-D interaction with respect to strength related parametric ratios. The ultimate strength data obtained from numerical analysis are compared with (i) the experimental tests data concerning L-D interaction mode buckling reported by other researchers (ii) column strength predicted by Direct Strength Method (DSM) column strength curves for local and distortional buckling specified in AISI S-100 (iii) strength predicted by available DSM based approaches that includes L-D interaction mode failure. The role of flange width to web depth ratio on post buckling strength erosion is reported. Then the paper concludes with merits and limitations of codified DSM and available DSM based approaches on accurate failure strength prediction.

• Structural Engineering and Mechanics
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• 제21권3호
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• pp.275-293
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• 2005

When a thin-walled multicell box girder is subjected to an eccentric load, the distortion becomes an important global response in addition to flexure and torsion. The three global responses appear in a combined form when a conventional shell element is used thus it is not an easy task to examine the three global responses separately. This study is to propose an analysis method using conventional shell element in which the three global responses can be separately decomposed. The force decomposition method which was designed for a single-cell box girder by Nakai and Yoo is expanded herein to multicell box girders. The eccentric load is decomposed in the expanded method into flexural, torsional, and multimode distortional forces by using the force equilibrium. From the force decomposition, the combined global responses of multicell box girders can be resolved into separate responses and the distortional response which is of primary concern herein can be obtained separately. It is shown from a series of extensive comparative studies using three box girder bridge models that the expanded method produces accurate decomposed results. Noting that the separate consideration of individual global response is of paramount importance for optimized multicell box girder design, it can be said that the proposed expanded method is extremely useful for practicing engineers.

• 한국강구조학회 논문집
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• 제23권2호
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• pp.249-259
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• 2011

본 연구에서는 비틀림 하중을 받는 U형 강박스 거더의 뒤틀림 거동을 해석적으로 분석하여 거더 내부에 설치되는 수직브레이싱의 각 부재에 발생하는 부재력을 산정하는 수식이 개발되었다. 편심하중 또는 거더의 곡률에 의해 발생하는 비틀림하중을 박스단면내 상대적인 변형과는 무관한 순수 비틀림 성분력과 박스 단면내 뒤틀림을 유발하는 뒤틀림 성분력으로 분해하여 뒤틀림 성분력과 이에 저항하는 내부 수직브레이싱의 상호작용 효과를 분석함으로써 각 부재에 발생하는 부재력을 비틀림하중의 함수로 도출하였다. 제안식의 타당성을 검증하기 위하여 편심하중을 받는 단경간 직선거더 및 전경간 일정한 곡률을 가지는 3경간 거더 예제를 선정하여 3차원 유한요소 모델링을 수행하고 해석을 통해 얻은 내부 수직브레이싱의 각 부재력을 제안식으로 산정된 값과 비교 분석하였다. 해석 및 제안식으로 결정된 각각의 부재력은 높은 수준으로 일치함을 보였다.