• Title/Summary/Keyword: 편심 보 요소

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Stiffener Elements of Eccentrically Stiffened Plate/Shell (판 및 셸의 편심 보강 유한 요소)

  • 김용우;박건순;민옥기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.771-788
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    • 1991
  • 본 연구에서는 편심된 강성 강화 부재가 붙어 있는 얇은 판 또는 얇은 셸에 대해 유한 요소 해석을 할 때, 편심된 강성 강화 부재를 개별된 요소로서 정확히 묘사 할 수 있도록, 일반적인 보 이론을 기초로 하여 2개의 절점을 갖고, 각 절점당 6자유 도를 갖는 3차원 편심 보 요소(offset beam element)에 대하여 수식화하여 변위와 응 력을 계산한다.

Efficient Seismic Analysis of Building Structures with Eccentric Beams (보의 편심효과를 고려한 건축구조물의 효율적인 지진해석)

  • 안상경;이동근
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.203-211
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    • 2001
  • 고층구조물의 해석에 사용되는 ETABS와 같은 상용프로그램은 해석의 단순화를 위하여 강막가정을 사용하게 된다. 이와 같은 강막가정은 일반적으로 바닥판의 휨 강성과 보의 편심효과를 무시하게 된다. 이러한 가정은 골조구조물의 정적해석에 대해서는 정당한 결과를 얻을 수 있으나 동적해석의 경우에는 바닥판의 휨 강성과 보의 편심효과가 구조물의 횡 방향 거동에 주요한 영향을 미치게 된다. 그러나 바닥판의 영향과 보의 편심효과를 고려하기 위해서는 유한요소의 특성상 바닥판과 보를 여러 개의 요소로 나누어야 하며, 이로 인하여 해석과 구조물의 모형화에 많은 시간이 소요되는 단점이 발생하게 된다. 본 논문에서는 이러한 단점을 보완하기 위하여 부분구조기법과 대형요소를 사용한 효율적인 모형화 방법에 대하여 연구하였다. 또한 최종적으로 각 층에 대하여 강막가정을 적용하여 층 당 3개의 자유도만을 고려하는 막대모델을 제안하였다. 본 논문에서는 제안한 모형화기법의 정당성을 검토하기 위하여 구조물의 응답을 비교하였다.

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Geometrically Nonlinear Analysis of Eccentrically Stiffened Plate (편심 보강평판의 기하학적 비선형 해석)

  • Jae-Wook Lee;Kie-Tae Chung;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.307-317
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    • 1991
  • A displacement-based finite element method is presented for the geometrically nonlinear analysis of eccentrically stiffened plates. The nonlinear degenerated shell and eccentric isobeam(isoparametric beam) elements are formulated on the basis of total Lagrangian and updated Lagrangian descriptions. To describe the stiffener's local plate buckling mode, some additional local degrees of freedom are used in the eccentric isobeam element. The eccentric isobeam element can be affectively employed to model the eccentric stiffener just like the case of the degenerated shell element. A detailed nonlinear analysis including the effects of stiffener's eccentricity is performed to estimate the critical load and the post buckling behaviour of an eccentrically stiffened plate. The critical buckling loads are found higher than analytic plate buckling load but lower than Euler buckling load which are the buckling strength requirements of classification society.

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Buckling Behavior of I-Beam with the Elastic Support (탄성 경계를 고려한 I형보의 좌굴 거동)

  • Kang, Young Jong;Lee, Gyu Sei;Lim, Nam Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.201-212
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    • 1999
  • A beam supported by a flexible elastic support is commonly used as structural elements, e.g., braced beam, railway track, etc. The elastic support can be located in arbitrary point in the cross-section. This paper investigates the effects of support eccentricity on the elastic buckling of beams with elastic supports. The effects of stiffness of the elastic support are also studied. A beam element with elastic supports and the analysis program are developed for elastic buckling analysis using finite element formulation. The elastic support is modeled by elastic spring element. Using the offset technique, the eccentricity of support is taken into account. A beam element having 14 degrees of freedom including the warping degree of freedom is used. Various numerical example analyses show that the present formulation and analysis program accurately and effectively compute the buckling load and mode of beams with elastic supports.

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A Study on the Optimal Number fo Cross Beam of Standard P.S.C Girder Bridge by Static Analysis (정적해석에 의한 표준적인 P.S.C거더 교량의 적정 가로보 수에 관한 연구)

  • 최창근;김경호;김재범
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.1
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    • pp.43-55
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    • 2001
  • 본 논문에서는 현행 표준적인 P.S.C거더 교량의 적정 가로보 수를 위한 매개변수 연구를 수행하였다. 교량의 길이는 P.S.C거더교로서 국내에서 가장 흔히 사용되는 30m의 단순교를 채택하였다. 교량의 해석방법으로는 상부의 슬래브와 거더를 효율적으로 모델링하기 위하여 정밀해석법인 유한요소법을 사용하였다. 본 연구에서 사용된 매개변수로는 크게 두 가지로 분류되는데, 하나는 사용된 가로보의 개수이고 다른 하나는 교량의 사각(Skew)이다. 상부 슬래브는 쉘 요소와 빔 요소를 연결하는데 효율적인 회전자유도를 가지는 쉘 요소로 모델링 하였다. 슬래브와 거더의 중심축이 이격되어 있는 문제를 정확히 고려하기 위하여 편심보 요소를 사용하였다. 해석 모델은 가로보가 각각 7,5,3개 있는 경우를 선정하였다. 이러한 조건하에서 정적 해석을 수행하여 최대 휨모멘트, 전단력, 비틀림 모멘트값을 구하여 현행 시방서에서 규정된 극한치를 만족하는지 검토하였다. 검토결과 현재 사용되고 있는 P.S.C거더 교량에서의 가로보 개수는 과다한 것으로 판단되며 경제적인 설계를 위하여 가로보의 개수를 줄일 수 있을 것으로 제안하였다.

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Initial Imperfection and Axial Strength of Struts with Octagonal Hollow Section fabricated from HR Plate (열연강판 팔각강관 버팀보의 초기편심과 축방향 압축강도)

  • Jo, Jae Byung
    • Journal of Korean Society of Steel Construction
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    • v.27 no.1
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    • pp.23-30
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    • 2015
  • Developed in this study were Octagonal-hollow-section(OHS) struts, whose compressive strengths against flexural and local buckling is higher than H-shape or rectangular-hollow-section(RHS) struts with the same unit weight. OHS members are also advantageous in handling and storing compared to circular hollow sections(CHS). OHS members were fabricated from HR Plates by cold forming and fillet welding. 5 numbers of 20m long OHS struts were assembled, each of which consist of two 9.6m long OHS member and two end connection elements made of cast iron. The compressive strength of the OHS strut was evaluated by comparing the test results, design codes and FEM analysis each other. Test results show that all of the struts have almost same or larger compressive strength than Korean Road Bridge Design Code(KRBDC) (2012). The initial imperfections can be estimated by using measured strains and are turned out to be less than L/450 for all the struts tested. The results of FEM analysis show that the variation of initial imperfection has less effects on the compressive strength for struts with vertical surcharge than for those with self-weight only, while the strength decreases as the initial imperfection increases. As the result of this study, the allowable initial imperfection for 20m long OHS struts is recommended to be less than L/350 on job sites.

A Parametric Study of Deflection Analysis of the Prestressed Beams using Finite Element Analysis (유한요소해석을 이용한 프리스트레스트 보의 처짐에 대한 변수 해석)

  • Park, Ha Eun;Choi, Jin Woong;Kim, Min Sook;Lee, Young Hak
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.1
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    • pp.39-46
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    • 2015
  • The purpose of this study is to analyze the deflection of the prestressed beams. In this paper, a finite element model for deflections of prestressed beams is presented. Proposed finite element model was verified comparing with existing experimental results, and it showed a good agreement with the experimental results. Also, a parametric study has been conducted to analyze the influence of eccentricity, span-depth ratio, and prestressing force. The finite element model results were compared with hand calculation results. Deflections were increased as the eccentricity decreases, the span-depth ratio increases, and the prestressing force decreases. Hand calculation overestimated the deflection when the eccectricity or prestressing force is too small.

Structural Analysis Models to Develop Live Load Distribution Factors of Simply Supported Prestressed Concrete I-Girder Bridge (활하중 분배계수식 개발을 위한 I형 프리스트레스트 콘크리트 거더 교량의 구조해석 모델)

  • Lee, Hwan-Woo;Kim, Kwang-Yang
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.1
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    • pp.91-101
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    • 2008
  • Structural analysis models to develop live load distribution factors of simply supported prestressed concrete I-girder bridge should have the precision of the analysis results as well as modeling simplicity. This is due to the numerous frequency of structural analysis needed while developing live load distribution factors. In this study, an appropriate structural analysis model is selected by comparing previous researchs studies and models used in practical design. Also, the influence by the flexural stiffness of barrier and diaphragm on the live load distribution had been analyzed through comparing the numerical analysis and experimental tests. As a result, the model that the eccentric girder and the barrier and diaphragm are connected to the deck plate was appropriate in satisfying both accuracy and simplicity for structural analysis of simply supported prestressed concrete I-girder bridge. However, the barrier was analyzed to have insignificant influence on the live load distribution in spite of its variation of stiffness. The eccentric diaphragm showed little influence at 25% or higher of flexural stiffness. From the results, a model that the girder is rigidly connected to the deck plate in consideration of the eccentricity, the barrier is ignored and the whole section of diaphragm is supposed to be valid without eccentricity is decided as the most appropriate structural model to develop the live load distribution factors of simply supported prestressed concrete I-girder bridge in this study.

Analysis of Girders with Web Opening (유공복부(有孔腹部)를 가진 거더의 해석(解析))

  • Yang, Chang Hyun;Chung, Won Ki
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.4
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    • pp.75-86
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    • 1985
  • A beam with web opening may reduce the cost of steel and the height of multistory steel buildings. Bower's analysis based on the theory of elasticity and Vierendeel analysis had evaluated the normal stresses around the holes, but these analyses have difficulties for practical uses because of complexity and the limitation for their application. In this study, it is shown that the finite element method, using smaller number of isoparametric elements by taking only a part of the beam which includes the hole, can diminish defects of the above two methods and it may represent more satisfactorily the distribution of the local stress concentration around the hole than the other methods which employed linear elements such as in the analysis by Samuel or Redwood. This study presents the effects of moments, shears, and eccentricities of a hole on the distribution of the normal stresses calculated by using the proposed finite element method. Consequently, it is found that the variations of shear force and hole depth give significant effects on the normal stresses around a hole, while the variations of eccentricities of the hole provide a little effect on them. The regression coefficients resulted from the multiple linear regression may be used for estimating the normal stresses around any arbitrary hole in the web of a beam, since the normal stresses guessed by this regression coefficient equation match well the results by the finite element method except the case of large eccentricity.

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Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Beams Subjected to Eccentrically Axial Forces (편심축하중을 받는 비대칭 박벽보의 엄밀한 동적강도행렬)

  • Kim, Moon Young;Yun, Hee Taek
    • Journal of Korean Society of Steel Construction
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    • v.13 no.6
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    • pp.703-713
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    • 2001
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled straight beams subjected to eccentrically axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of displacement parameters are exactly derived and finally exact stiffness matrices are determined using element force-displacement relationships. The natural frequencies of nonsymmetric thin-walled straight beams are evaluated and compared with analytical solutions or results by thin-walled beam element using the cubic Hermitian polynomials and ABAQU's shell elements in order to demonstrate the validity of this study.

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