• Structural Engineering and Mechanics
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• 제2권2호
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• pp.197-210
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• 1994

Presented in this paper is the rigorous analysis for the determination of effective flange width for composite beams. To make the solution suitable for routine design, formulas and tables for determining effective flange width for varying load types and geometric shapes are suggested. A variety of effective flange width problems for simple and continuous T- and I-beams can be solved by these tables and formulas. Although they are derived for T- and I-beams with symmetrical shapes, flanges and loads, they can be applied for non-symmetrical cases. Typical numerical examples are given to show how to use the formulas and tables; and their validity and accuracy are assessed by comparison with other known results that are based on the American Codes AISC, AASHTO and ACI.

• Steel and Composite Structures
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• 제39권4호
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• pp.435-451
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• 2021

Shear lag effect was a significant mechanical behavior of steel-concrete composite beams, and the effective flange width was needed to consider this effect. However, the effective flange width is mostly determined by static load test. The cyclic vehicle loading cases, which is more practical, was not well considered. This paper focuses on the study of shear lag effect of the concrete slab in the negative moment region under fatigue cyclic load. Two specimens of two-span steel-concrete composite beams were tested under fatigue load and static load respectively to compare the differences in the negative moment region. The reinforcement strain in the negative moment region was measured and the stress was also analyzed under different loads. Based on the OpenSees framework, finite element analysis model of steel-concrete composite beam is established, which is used to simulate transverse reinforcement stress distribution as well as the variation trends under fatigue cycles. With the established model, effects of fatigue stress amplitude, flange width to span ratio, concrete slab thickness and shear connector stiffness on the shear lag effect of concrete slab in negative moment area are analyzed, and the effective flange width ratio of concrete slab under different working conditions is calculated. The simulated results of effective flange width are compared with calculated results of the commonly used specifications, and it is found that the methods in the specifications can better estimate the shear lag effect in concrete slab under static load, but the effective flange width in the negative moment zone under fatigue load has a large deviation.

• 한국전산구조공학회논문집
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• 제23권4호
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• pp.343-351
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• 2010

도로교설계기준(건설교통부, 2005)에 따르면 바닥판 경간비(B/L)가 0.5이하인 박스거더교에서는 상부플랜지의 전폭이 휨 압축응력 또는 축압축응력에 대하여 유효한 것으로 볼 수 있다. 그러나 세그먼트 자중 등에 의한 휨모멘트와 케이블 수직압축력에 의한 합성응력이 발생되고 바닥판 경간비가 변하는 사장교의 시공단계에서는 전단지연의 영향범위가 다를 수 있다. 이 연구에서는 1면 케이블 콘크리트 박스 사장교를 대상으로 시공단계시 보강형에 고려되어야 할 합성응력에 의한 유효플랜 지폭을 분석하였다. 그 결과 바닥판 경간비가 0.38이하의 범위에서 보강형의 전폭을 유효플랜지폭으로 적용할 수 있는 것으로 해석되었다. 즉, 1면 케이블 박스 사장교의 경우 전단지연을 고려하여 할 범위가 박스거더교보다 커야할 것으로 분석되었다. 따라서 시공단계시 변화되는 바닥판 경간비의 크기에 관계없이 전폭을 유효플랜지폭으로 반영하는 실무관행은 안전측 설계가 되지 못할 수 가 있다. 또한 시공단계시 선단부를 제외한 영역의 합성응력에 대한 검토는 바닥판 경간비가 크게 나타나는 초기 시공단계에서는 단경간 구조계로 보고 산정한 유효플랜지폭을 적용할 경우 안전측 설계가 된다. 그러나 바닥판 경간비가 작아짐에 따라서는 전폭과 캔틸레버 구조계로 유효플랜지폭을 결정하는 것이 타당한 것으로 분석되었다.

• 한국산학기술학회논문지
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• 제8권5호
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• pp.1179-1185
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• 2007

본 논문은 슬래브내의 보 상부철근의 영향을 파악하기 위한 해석적 연구로 슬래브가 있는 보-기둥 접합부에서 기존의 설계방법인 직사각형 단면 내에 상부철근을 2단으로 배근한 보와 동일량의 상부철근을 직사각형 단면에 1단만 배근하고 나머지는 보의 적정 플랜지폭 내에 분산 배치하여 상부철근의 배치에 따라 보의 휨 강도가 어떻게 변화하는지를 정량적으로 평가할 수 있도록 하는 것이다. 이러한 연구 목적을 수행하기 위하여 상용화된 범용 구조해석 프로그램인 ANSYS를 이용하여 모델링하고, 비선형 구조해석을 실시하였다. 플랜지폭, 플랜지(슬래브)두께 및 상부 플랜지내에서의 철근의 위치 등을 변수로 한 수치해석을 통하여 보의 최대내력을 비교 검토한 결과, 플랜지폭의 영향은 상부 인장철근을 1단으로 직사각형 단면에서 멀리 배치할수록 내력차이가 증가하는 것을 확인하였으며, 플랜지폭이 동일한 계열에서 내력이 증가되는 비율은 플랜지두께의 영향을 크게 받지 않는 것으로 나타났고, 상부 인장철근의 위치에 따른 내력은 슬래브두께가 증가할수록 내력의 차이가 줄어드는 것으로 나타났다.

• Steel and Composite Structures
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• 제38권4호
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• pp.415-430
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• 2021

The effective flange width was usually introduced into elementary beam theory to consider the shear lag effect in steel-concrete composite beams. Previous studies have primarily focused on the effective width under positive moments and elastic loading, whereas it is still not clear for negative moment cases in the normal service stages. To account for this problem, this paper proposed simplified formulas for the effective flange width and reinforcement stress of composite beams under negative moments in service stages. First, a 10-degree-of-freedom (DOF) fiber beam element considering the shear lag effect and interfacial slip effect was proposed, and a computational procedure was developed in the OpenSees software. The accuracy and applicability of the proposed model were verified through comparisons with experimental results. Second, a method was proposed for determining the effective width of composite beams under negative moments based on reinforcement stress. Employing the proposed model, the simplified formulas were proposed via numerical fitting for cases under uniform loading and centralized loading at the mid-span. Finally, based on the proposed formulas, a simplified calculation method for the reinforcement stress in service stages was established. Comparisons were made between the proposed formulas and design code. The results showed that the design code method greatly underestimated the contribution of concrete under negative moments, leading to notable overestimations in the reinforcement stress and crack width.

• 콘크리트학회논문집
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• 제14권5호
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• pp.796-803
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• 2002

T형 벽체는 웨브 벽체와 평행한 방향으로 횡력이 작용할 때 그 작용 방향에 따라 다른 강성과 강도를 갖는다. 특히, 플랜지벽체에 인장력이 작용할 때 플랜지 벽체내 철근의 기여로 인하여 벽체의 휨강도가 상승하게 되는데 이것은 전단지체 현상에 기인한 것이다. 이러한 전단지체 현상에 따라 플랜지 벽체는 전체 폭이 웨브 벽체와 일체로 거동하지 못하고, 일정한 부분만이 웨브 벽체와 함께 거동하게 되는데, 이러한 범위를 유효 폭이라 하며, 이러한 유효 폭은 구조물의 실제적인 강도와 강성을 예측하는데 중요한 역할을 하게되므로 반드시 구명되어야 할 요소라 할 수 있다. 이에 본 연구에서는 실험을 통하여 웨브 벽체 단부에 기존의 양단부 보강상세를 갖는 T형 벽체의 실제적인 강도와 유효 폭을 평가하고자 한다. 연구목적을 달성하기 위하여 3개의 실험체를 제작하였으며 0.1 $f_{ck}$ . $A_{g}$의 축력을 실험이 진행되는 동안 일정하게 유지하면서, 반복가력 실험을 수행하였다. 실험결과, 유효 폭은 횡변위의 증가에 따라 증가하는 것으로 나타났으며 최대강도 발현시 h/3에 해당하는 전체 플랜지가 유효 폭으로 작용하는 것으로 나타났다. 그러므로, PCI나 국내 기준에 의한 h/10의 유효 폭은 웨브 벽체 단부에 주어진 보강상세를 갖는 벽체에 대하여 적절치 못한 것으로 사료된다..

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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• pp.254-261
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• 1997

In desingin plate bridges, the width-thickness ratio of flanges and webs are proportioned in such that the premature local buckling of flanges and webs prior to achievement of the full strength of plate-girders must be prevented. It is the common practive in most design codes that the flange local buckling strength and the web bend buckling strength are separately computed. In most practical plate girders, however, the flange buckles simultaneously when web bend-buckling occurs, vice versa. The primary purpose of the present study is to investigate the phenomenon, which may be called flange-web interactive buckling. Using the eight-node shell element available in the commercial multi-purpose program ABAQUS, the phenomenon was quantitatively investigated. Also presented are the effects of various factors such as the ratio of flange slenderness ratio to the web slenderness ratio, the ratio of flange width to the web depth, and the longitudinal stiffeners. A series of comparative studies with various design codes show that the present study provides more accurate and effective design basis in proportioning the flanges and webs.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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• pp.329-332
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• 2006

To study the effect of the macroscopic TVLEM(Three Vertical Line Element Model) which is developed in 2D, a bearing wall system is selected and 2D and 3D pushover analyses are carried out. In 2D model, the participating width of a flage wall to lateral resistance is modelled based on Paulay's effective width. From the comparisons of roof displacements, 2D model which uses the effective width of flange wall has better prediction and less analysis time than 3D model which has intrinsically the full width of the flange that causes higher stiffness and strength and shorter deformation capacity than 2D model.

• Steel and Composite Structures
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• 제9권5호
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• pp.419-444
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• 2009

Flange and web local buckling in beam plastic hinge regions of steel moment frames can prevent beam-column connections from achieving adequate plastic rotations under earthquake-induced forces. Reducing the flange-web slenderness ratios (FSR/WSR) of beams is the most effective way in mitigating local member buckling as stipulated in the latest seismic design specifications. However, existing steel moment frame buildings with beams that lack the adequate slenderness ratios set forth for new buildings are vulnerable to local member buckling and thereby system-wise instability prior to reaching the required plastic rotation capacities specified for new buildings. This paper presents results from a research study investigating the cyclic behavior of steel I-beams modified by a welded haunch at the bottom flange and reinforced with glass fiber reinforced polymers at the plastic hinge region. Cantilever I-sections with a triangular haunch at the bottom flange and flange slenderness ratios higher then those stipulated in current design specifications were analyzed under reversed cyclic loading. Beam sections with different depth/width and flange/web slenderness ratios (FSR/WSR) were considered. The effect of GFRP thickness, width, and length on stabilizing plastic local buckling was investigated. The FEA results revealed that the contribution of GFRP strips to mitigation of local buckling increases with increasing depth/width ratio and decreasing FSR and WSR. Provided that the interfacial shear strength of the steel/GFRP bond surface is at least 15 MPa, GFRP reinforcement can enable deep beams with FSR of 8-9 and WSR below 55 to maintain plastic rotations in the order of 0.02 radians without experiencing any local buckling.

• 복합신소재구조학회 논문집
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• 제6권3호
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• pp.26-31
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• 2015

The domestic and foreign specifications presented the effective width based on flange length to width ratio only. The existing paper on the effective width grasped of the effect of span, load type and cross-section properties, but localized steel bridges. Recently, The studies are going on in progress for the application of fiber reinforced composite material in construction field. Therefore, it is required to optimum design that have a good grasp the deformation characteristic of the displacements and stresses distribution and predict variation of the effective width for serviceability loading. This research addresses the effective width of all composite material box girder bridges using the finite element method. The characteristics of the effective width of composite structures may vary according to several causes, e.g., change of fibers, aspect, etc. Parametric studies were conducted to determine the effective width on the stress elastic analysis of all composite materials box bridges, with interesting observations. The various results through numerical analysis will present an important document for construct all composite material bridges.