• Title/Summary/Keyword: Simple Beam

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A novel simple two-unknown hyperbolic shear deformation theory for functionally graded beams

  • Zidi, Mohamed;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bessaim, Aicha;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.64 no.2
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    • pp.145-153
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    • 2017
  • In this article, a novel simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded (FG) beams is proposed. The beauty of this theory relies on its 2-unknowns displacement field as the Euler-Bernoulli beam theory, which is even less than the Timoshenko beam theory. A shear correction factor is, therefore, not needed. Equations of motion are obtained via Hamilton's principle. Analytical solutions for the bending and free vibration analysis are given for simply supported beams. Efficacy of the proposed model is shown through illustrative examples for bending and dynamic of FG beams. The numerical results obtained are compared with those of other higher-order shear deformation beam theory results. The results obtained are found to be accurate.

Simple Method of Analysis for Reinforced Concrete Slab Bridges (간단한 방법에 의한 철근콘크리트 슬래브 교량의 해석)

  • Han, Bong-Koo;Kim, Duk-Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.4
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    • pp.81-89
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    • 2003
  • The simple supported reinforced concrete slab bridges are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. The result of this paper can be used for reinforced concrete slab bridges analysis by the engineers with undergraduate study in near future.

An efficient shear deformation theory for wave propagation in functionally graded material beams with porosities

  • Benadouda, Mourad;Atmane, Hassen Ait;Tounsi, Abdelouahed;Bernard, Fabrice;Mahmoud, S.R.
    • Earthquakes and Structures
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    • v.13 no.3
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    • pp.255-265
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    • 2017
  • In this paper, an efficient shear deformation theory is developed for wave propagation analysis in a functionally graded beam. More particularly, porosities that may occur in Functionally Graded Materials (FGMs) during their manufacture are considered. The proposed shear deformation theory is efficient method because it permits us to show the effect of both bending and shear components and this is carried out by dividing the transverse displacement into the bending and shear parts. Material properties are assumed graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents; but the rule of mixture is modified to describe and approximate material properties of the functionally graded beams with porosity phases. The governing equations of the wave propagation in the functionally graded beam are derived by employing the Hamilton's principle. The analytical dispersion relation of the functionally graded beam is obtained by solving an eigenvalue problem. The effects of the volume fraction distributions, the depth of beam, the number of wave and the porosity on wave propagation in functionally graded beam are discussed in details. It can be concluded that the present theory is not only accurate but also simple in predicting the wave propagation characteristics in the functionally graded beam.

Development of an Adjustable Beam Bracket for Beam Table Form - Conceptual Design and Structural Stability Analysis - (보 테이블 폼 전용 가변형 보 브라켓 개발 - 개념 디자인 제시 및 구조적 안정성 분석 -)

  • Hong, Yu-Na;Yeom, Dong-Jun;Yoo, Hyun-Seok;Kim, Young Suk
    • Korean Journal of Construction Engineering and Management
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    • v.19 no.5
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    • pp.70-80
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    • 2018
  • Recently, the construction industry has lively utilized system forms to improve the work productivity and safety of form work, and the beam table form is one of them. However, the beam table form is used limitedly for the construction of buildings where the same beam size is applied to every floor. To make it possible to apply the beam table form to a building where different beam sizes are designed according to the uses of floors, it was analyzed that among the components of the beam table form, the beam bracket, should be able to flexible adjust the size of the beam form only with simple operation. Therefore, the purpose of this study is to propose the conceptual design of "an adjustable beam bracket for beam table form" that allows the adjustment of beam form size with simple operation and has excellent applicability to construction sites as well. In case this study's conceptual design of adjustable beam bracket for beam table form is fabricated into a real thing, it is expected that the beam table form will be applicable to even buildings where different beam sizes are designed according to the uses of floors, thereby contributing to the improvement in the work productivity and safety of form work.

Applicability of Beam Model among Earthquake Response Analysis Models of Liquid-Storage Tank (액체저장탱크의 지진응답해석 모델 중 빔 모델의 적용성)

  • Jin, Byeong-Moo;Jeon, Se-Jin;Kim, Young-Jin
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.696-699
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    • 2004
  • Generally, the time history analysis among seismic response analyses of a structure needs more times than static analysis. Therefore the mechanical model of a structure has been used as a simple lumped parameter model in time history analysis. For the most cases, the simple mechanical model shows the similar results to that of detailed finite element model. so it is reasonable to use the simple mode] in preliminary analysis. In seismic design of liquid storage tank, such as LNG storage tank, the lumped parameter mode] also is being used in preliminary analysis, however sometimes shows the differences to the results of detailed finite element model. Therefore in this study, the dynamic characteristics between lumped parameter model and detailed finite model is compared for the variables such as height/diameter of liquid-storage tank and thickness of wall, then the applicability of beam mode] to the seismic response analysis are evaluated for some liquid storage tanks.

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Dynamic Analysis of Interconnected Flexible Beams Having Large Rigid Body Rotations (대규모 강체 회전을 포함한 상호 연결된 유연한 보의 동역학적 해석)

  • Lee, K.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.8
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    • pp.108-114
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    • 1997
  • A simple and efficient method is presented for the dynamics of interconnected flexible beams having large rigid body rotations. A simple mass matrix is obtained by interpolating the displacements in the global inertia frame, and the elastic force is also simply computed by using linear finite element technique with the moving frame attached to the beam. For the beams connected by revolute joints, kinematic constraints and relative rotations between the beans are not required and the equations of motions are time integrated by a simple ODE technique. Numerical simulations are conducted to demonstrate the accuracy and efficiency of the present technique.

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Flat-panel CRT with channel guides

  • Vissenberg, M.C.J.M.;Ijzerman, W.L.;Cortenraad, H.M.R.;Hiddink, M.G.H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.126-129
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    • 2003
  • Electron beam guides hold the promise of a flat-panel display based on CRT technology. We propose to integrate the periodic focusing electrodes of such beam guides on a glass channel plate for a robust and simple design. The feasibility of this idea is tested numerically and experimentally.

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A Study on the Rational Shear Model by interpretation of Stuttgart Beam Shear Test (Stuttgart 콘크리트 보 전단실험의 재해석을 통한 합리적 전단모델 연구)

  • 김우;모귀석;정제평
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.884-889
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    • 2003
  • Based on the reinterpretation of the well-known relationship between shear and the rate of change of bending moment in a reinforced concrete beam subject to combined shear and moment loads, the shortcomings of present truss models are discussed. The core of the theory is that a new perspective on the shear strength can be gained by viewing the internal stress filed in terms of the superposition of two base components of shear resistance; arch action and beam action. The arch action can be designed using the simple truss having curved compression chord, while the beam action between the two chords can be modeled using a parallel chord truss with MCFT or RA-STM. The compatibility of deformation associated to the two action is taken into account by employing a characteristic factor a. The new model was examined by the Stuttgart beam shear tests, and the results show that the present approach provides good estimates of stirrup contribution and concrete contributions.

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Effects of Beam Parameters on Excimer Laser Ablation (엑사이머 레이저 어블레이션 가공에서의 빔변수의 영향)

  • Bang Se Yoon
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.7 s.172
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    • pp.38-46
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    • 2005
  • In laser machining such as drilling with $CO_2$ or Nd:YAG laser, and etching or ablation with Excimer laser, one of the most important parameters affecting the machining is known to be beam characteristics. In this paper a numerical study is performed to investigate the effects of beam parameters, especially in the process of excimer laser ablation of polymers. Results of different beam conditions reveal that if the ablated depth is small compared to beam size the simple photochemical etching model is suitable to predict the etched shape, and that the importance of precise alignment becomes large as beam quality factor becomes larger.

Geometry-dependent MITC method for a 2-node iso-beam element

  • Lee, Phill-Seung;Noh, Hyuk-Chun;Choi, Chang-Koon
    • Structural Engineering and Mechanics
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    • v.29 no.2
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    • pp.203-221
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    • 2008
  • In this paper, we present an idea of the geometry-dependent MITC method. The simple concept is exemplified to improve a 2-node iso-beam (isoparametric beam) finite element of varying section. We first study the behavior of a standard 2-node iso-beam finite element of prismatic section, which has been widely used with reduced integration (or the equivalent MITC method) in order to avoid shear locking. Based on analytical studies on cantilever beams of varying section, we propose the axial strain correction (ASC) scheme and the geometry-dependent tying (GDT) scheme for the 2-node iso-beam element. We numerically analyze varying section beam problems and present the improved performance by using both ASC and GDT schemes.