• 제목/요약/키워드: bending of a beam

검색결과 1,188건 처리시간 0.033초

Shear behavior and shear capacity prediction of precast concrete-encased steel beams

  • Yu, Yunlong;Yang, Yong;Xue, Yicong;Liu, Yaping
    • Steel and Composite Structures
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    • 제36권3호
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    • pp.261-272
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    • 2020
  • A novel precast concrete-encased steel composite beam, which can be abbreviated as PCES beam, is introduced in this paper. In order to investigate the shear behavior of this PCES beam, a test of eight full-scale PCES beam specimens was carried out, in which the specimens were subjected to positive bending moment or negative bending moment, respectively. The factors which affected the shear behavior, such as the shear span-to-depth aspect ratio and the existence of concrete flange, were taken into account. During the test, the load-deflection curves of the test specimens were recorded, while the crack propagation patterns together with the failure patterns were observed as well. From the test results, it could be concluded that the tested PCES beams could all exhibit ductile shear behavior, and the innovative shear connectors between the precast concrete and cast-in-place concrete, namely the precast concrete transverse diaphragms, were verified to be effective. Then, based on the shear deformation compatibility, a theoretical model for predicting the shear capacity of the proposed PCES beams was put forward and verified to be valid with the good agreement of the shear capacities calculated using the proposed method and those from the experiments. Finally, in order to facilitate the preliminary design in practical applications, a simplified calculation method for predicting the shear capacity of the proposed PCES beams was also put forward and validated using available test results.

Bridge-type structures analysis using RMP concept considering shear and bending flexibility

  • Hosseini-Tabatabaei, Mahmoud-Reza;Rezaiee-Pajand, Mohmmad;Mollaeinia, Mahmoud R.
    • Structural Engineering and Mechanics
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    • 제74권2호
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    • pp.189-199
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    • 2020
  • Researchers have elaborated several accurate methods to calculate member-end rotations or moments, directly, for bridge-type structures. Recently, the concept of rotation and moment propagation (RMP) has been presented considering bending flexibility, only. Through which, in spite of moment distribution method, all joints are free resulting in rotation and moment emit throughout the structure similar to wave motion. This paper proposes a new set of closed-form equations to calculate member-end rotation or moment, directly, comprising both shear and bending flexibility. Furthermore, the authors program the algorithm of Timoshenko beam theory cooperated with the finite element. Several numerical examples, conducted on the procedures, show that the method is superior in not only the dominant algorithm but also the preciseness of results.

일축 대칭 I 형 보의 모멘트 구배계수에 대한 연구 (A Study on the Moment Gradient factor of Mono-symmetric I Beam)

  • 김윤종;임남형;박남회;강영종
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2000년도 춘계학술대회 논문집
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    • pp.439-446
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    • 2000
  • 본 연구에서는 절점당 7자유도(뒤틀림 자유도 포함)를 갖는 보요소를 개발하여, 와그너 효과(Wagner Effect) 및 하중고 효과(Load Height Effect)가 일축 대칭 I 형보의 횡좌굴 강도에 미치는 영향을 파악하였다. 하중의 종류는 단면내 다양한 높이에 작용하는 횡방향 하중과 선형 모멘트 구배하중을 고려하였으며, 이들 하중에 의한 비지지 길이내 단일곡률의 휨과 역의 곡률의 휨이 생길때의 좌굴해석을 수행하였다. 현행 LRFD $C_{b}$ 계수의 일축 대칭 I 형 보에의 적용성을 검토하였으며, 하중고 효과(Load height effect) 및 비지지 길이내 역의 곡률(Reverse curvature bending) 발생시에 생기는 문제점들을 고찰해 보고, 해결방안을 제시하였다.

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Bending analysis of softcore and hardcore functionally graded sandwich beams

  • Hadji, Lazreg;Safa, Abdelkader
    • Earthquakes and Structures
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    • 제18권4호
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    • pp.481-492
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    • 2020
  • A New hyperbolic shear deformation theory is developed for the bending analysis of softcore and hardcore functionally graded sandwich beams. This theory satisfies the equilibrium conditions at the top and bottom faces of the sandwich beam and does not require the shear correction factor. The governing equations are derived from the principle of virtual work. Sandwich beams have functionally graded skins and two types of homogenous core (softcore and hardcore). The material properties of functionally graded skins are graded through the thickness according to the power-law distribution. The Navier solution is used to obtain the closed form solutions for simply supported FGM sandwich beams. The accuracy and effectiveness of proposed theory are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the deflections, stresses, and sandwich beam type on the bending responses of functionally graded sandwich beams.

Strengthening of reinforced concrete beams with epoxy-bonded perforated steel plates

  • Aykac, Sabahattin;Kalkan, Ilker;Uysal, Ali
    • Structural Engineering and Mechanics
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    • 제44권6호
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    • pp.735-751
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    • 2012
  • Although being one of the most popular strengthening techniques in reinforced concrete beams, the use of steel plates bonded to the soffit raises problems of ductility. This study aims at investigating the influence of the use of perforated steel plates instead of solid steel plates on the ductility of reinforced concrete beams. A total of nine reinforced concrete beams were tested. In addition to an unplated beam, eight beams with perforated steel plates of two different thicknesses (3 mm and 6 mm) were subjected to monotonic loading. Effect of bonding the plates to the beams with anchor bolts and with additional side plates bonded to the sides of the beam with and without anchors is also investigated. The use of bolts in addition to epoxy was found to greatly contribute to the ductility and energy absorption capacity of the beams, particularly in specimens with thick plates (6 mm) and the use side plates in addition to the bottom plate was found to be ineffective in increasing the ductility of a concrete beam unless the side plates are attached to the beam with anchors bolts. The thickness of the plate was found to have little effect on the bending rigidity of the beam.

A refined functional and mixed formulation to static analyses of fgm beams

  • Madenci, Emrah
    • Structural Engineering and Mechanics
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    • 제69권4호
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    • pp.427-437
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    • 2019
  • In this study, an alternative solution procedure presented by using variational methods for analysis of shear deformable functionally graded material (FGM) beams with mixed formulation. By using the advantages of $G{\hat{a}}teaux$ differential approaches, a refined complex general functional and boundary conditions which comprises seven independent variables such as displacement, rotation, bending moment and higher-order bending moment, shear force and higher-order shear force, is derived for general thick-thin FGM beams via shear deformation beam theories. The mixed-finite element method (FEM) is employed to obtain a beam element which have a 2-nodes and total fourteen degrees-of-freedoms. A computer program is written to execute the analyses for the present study. The numerical results of analyses obtained for different boundary conditions are presented and compared with results available in the literature.

Analytical solutions for static bending of edge cracked micro beams

  • Akbas, Seref Doguscan
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.579-599
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    • 2016
  • In this study, static bending of edge cracked micro beams is studied analytically under uniformly distributed transverse loading based on modified couple stress theory. The cracked beam is modelled using a proper modification of the classical cracked-beam theory consisting of two sub-beams connected through a massless elastic rotational spring. The deflection curve expressions of the edge cracked microbeam segments separated by the rotational spring are determined by the Integration method. The elastic curve functions of the edge cracked micro beams are obtained in explicit form for cantilever and simply supported beams. In order to establish the accuracy of the present formulation and results, the deflections are obtained, and compared with the published results available in the literature. Good agreement is observed. In the numerical study, the elastic deflections of the edge cracked micro beams are calculated and discussed for different crack positions, different lengths of the beam, different length scale parameter, different crack depths, and some typical boundary conditions. Also, the difference between the classical beam theory and modified couple stress theory is investigated for static bending of edge cracked microbeams. It is believed that the tabulated results will be a reference with which other researchers can compare their results.

Effects of porosity models on static behavior of size dependent functionally graded beam

  • Hamed, Mostafa A.;Sadoun, Ayman M.;Eltaher, Mohamed A.
    • Structural Engineering and Mechanics
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    • 제71권1호
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    • pp.89-98
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    • 2019
  • In this study, the mechanical bending behaviors of functionally graded porous nanobeams are investigated. Four types of porosity which are, the classical power porosity function, the symmetric with mid-plane cosine function, bottom surface distribution and top surface distribution are proposed in analysis of nanobeam for the first time. A comparison between four types of porosity are illustrated. The effect of nano-scale is described by the differential nonlocal continuum theory of Eringen by adding the length scale into the constitutive equations as a material parameter comprising information about nanoscopic forces and its interactions. The graded material is designated by a power function through the thickness of nanobeam. The beam is simply-supported and is assumed to be thin, and hence, the kinematic assumptions of Euler-Bernoulli beam theory are held. The mathematical model is solved numerically using the finite element method. Numerical results show effects of porosity type, material graduation, and nanoscale parameters on the static deflection of nanobeam.

RC보의 전단변형 특성에 관한 연구 (A Study on Shear Deformation Characteristics of RC Beams)

  • 김민중;정길상;김대중;김우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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    • pp.273-276
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    • 2006
  • This paper presents shear deformation characteristics in reinforced concrete beams. Based on the relationship between shear and bending moment in beams subjected to combined shear and bending, the behavior of a beam is explicitly divided into two base components of the flexural action and the tied arch action. Transverse elongation of the web and deflections are calculated from shear compatibility condition in a beam and compared with test results.

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기둥 주위에 슬리트를 갖는 합성보 접합부의 반복하중 하에서의 거동 (Hysteretic Behavior of Composite Beam Detail with Slit around Column)

  • 양일승;윤현도;이강민;박완신;한병찬;문연준
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2004년도 추계 학술발표회 제16권2호
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    • pp.101-104
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    • 2004
  • Composite beams are generally known to possess higher flexural stiffness and strength under the positive bending moments than the normal steel beams. However the these beams also exhibit large differences in flexural stiffness and strength when both positive and negative bending moments are applied. As observed during the 1995 Kobe Earthquake, these beams tend to be fractured on the bottom flanges under repeated cyclic loadings. The objective of this study is to develop and evaluate the composite beam detail, which is able to effectively resist the seismic loadings. The proposed system is composed of the slit on concrete slab around column. A limited experimental program was designed and conducted to investigate the hysteretic behavior of the proposed composite beam system. From the experimental data obtained from the testing of three specimens, the proposed composite beam detail is found to possess large beam rotation than normal steel beams.

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