• Title/Summary/Keyword: Beam deformation

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Residual behavior of recycled aggregate concrete beam and column after elevated temperatures

  • Chen, Zongping;Zhou, Ji;Liang, Ying;Ye, Peihuan
    • Structural Engineering and Mechanics
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    • v.76 no.4
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    • pp.513-528
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    • 2020
  • This paper presents the results of an experimental study on the residual behavior of reinforced recycled aggregate concrete (RRAC) beam-columns after exposure to elevated temperatures. Two parameters were considered in this test: (a) recycled coarse aggregate (RCA) replacement percentages (i.e. 0, 30, 50, 70 and 100%); (b) high temperatures (i.e. 20, 200, 400, 600, and 800℃). A total of 25 RRAC short columns and 32 RRAC beams were conducted and subjected to different high temperatures for 1 h. After cooling down to ambient temperature, the following basic physical and mechanical properties were then tested and discussed: (a) surface change and mass loss ratio; (b) strength of recycled aggregate concrete (RAC) and steel subjected to elevated temperatures; (c) bearing capacity of beam-columns; (d) load-deformation curve. According to the test results, the law of performance degradation of RRAC beam-columns after exposure to high temperatures is analyzed. Finally, introducing the influence coefficient of RCA replacement percentage and high temperatures, respectively, to correct the calculation formulas of bearing capacity of beam-columns in Chinese Standard, and then the residual bearing capacity of RRAC beam-columns subjected elevated temperatures is calculated according to the modified formulas, the calculated results are in good agreement with the experimental results.

Wave propagation of CNTRC beams resting on elastic foundation based on various higher-order beam theories

  • Yi-Wen Zhang;Hao-Xuan Ding;Gui-Lin She;Abdelouahed Tounsi
    • Geomechanics and Engineering
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    • v.33 no.4
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    • pp.381-391
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    • 2023
  • The aim of this work is to analyze and predict the wave propagation behavior of the carbon nanotube reinforced composites (CNTRC) beams within the framework of various higher order shear deformation beam theory. Using the Euler-Lagrange principle, the wave equations for CNTRC beams are derived, where the determining factor is to make the determinant equal to zero. Based on the eigenvalue method, the relationship between wave number and circular frequency is obtained. Furthermore, the phase and group velocities during wave propagation are obtained as a function of wave number, and the material properties of CNTRC beams are estimated by the mixture rule. In this paper, various higher order shear beam theory including Euler beam theory, Timoshenko beam theory and other beam theories are mainly adopted to analyze the wave propagation problem of the CNTRC beams, and by this way, we conduct a comparative analysis to verify the correctness of this paper. The mathematical model provided in this paper is verified numerically by comparing it with some existing results. We further investigate the effects of different enhancement modes of CNTs, volume fraction of CNTs, spring factor and other aspects on the wave propagation behaviors of the CNTRC beams.

Analytical model for the composite effect of coupled beams with discrete shear connectors

  • Zheng, Tianxin;Lu, Yong;Usmani, Asif
    • Structural Engineering and Mechanics
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    • v.52 no.2
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    • pp.369-389
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    • 2014
  • Two-layer coupled or composite beams with discrete shear connectors of finite dimensions are commonly encountered in pre-fabricated construction. This paper presents the development of simplified closed-form solutions for such type of coupled beams for practical applications. A new coupled beam element is proposed to represent the unconnected segments in the beam. General solutions are then developed by an inductive method based on the results from the finite element analysis. A modification is subsequently considered to account for the effect of local deformations. For typical cases where the local deformation is primarily concerned about its distribution over the depth of the coupled beam, empirical modification factors are developed based on parametric calculations using finite element models. The developed analytical method for the coupled beams in question is simple, sufficiently accurate, and suitable for quick calculation in engineering practice.

Equivalent Beam Modeling Technique and Experimental Verification of Corrugated Flexible Joint Bend Considering Strain Energy (변형에너지를 고려한 파형 플렉시블조인트 곡선부의 등가보 해석기법 및 실험적 검증)

  • Kim, Jin-Gon
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.8
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    • pp.57-64
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    • 2008
  • Corrugated flexible joint with bellows shape is widely used in many industrial fields as it provides a relatively simple means of absorbing mechanical vibration and deformation due to its inherent flexibility. In this study, an effective equivalent beam modeling technique of corrugated flexible joint bend using a commercial CAE software is proposed to reduce the excessive efforts and costs required for three dimensional shell modelling in vibration analysis of bellows shape structure. When this simple and practical technique, based on the strain energy concept, is employed to modify the beam sectional properties of the flexible joint bend, quite satisfactory results can be obtained.

An Experimental Study on Column Penetration Joint of RC Column-Steel Beam (기둥관통형 RC 기둥-철골 보 접합부에 관한 실험적 연구)

  • 김승훈;한상환;이리형
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.04b
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    • pp.475-480
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    • 1998
  • The composite framed structures, consisting of RC columns and steel beams more popular in korea because of their efficiency and quality. However the force transfer mechanisms between the column and beam may by very complicated since the materials of columns and beams are different. This study develops "the column penetration joint" which the web of steel beam doesn't penetrate and which could improve the strength, deformation, and energy dissipation capacities compared to existing composite joints. It is the concrete-filled square tube joint with the exterior diaphragms and the cruciform stiffening plates. This study evaluated the strength of RC column penetration to steel beam connection by analyzing the results of partial experiments, and reviewed the applicability the strength formula through the comparison of tested results of joint experiment.

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Dynamic Stability Analysis of an Axially Accelerating Beam Structure (축 방향 가속을 받는 보 구조물의 동적 안정성 해석)

  • Eun, Sung-Jin;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.877-882
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    • 2005
  • Dynamic stability of an axially accelerating beam stucture is investigated in this paper. The equations of motion of a fixed-free beam are derived using the hybrid deformation variable method and the assumed mode method. Unstable regions due to periodical acceleration are obtained by using the Floquet's theory. Stability diagrams are presented to illustrate the influence of the dimensionless acceleration, amplitude, and frequency. Also, buckling occurs when the acceleration exceeds a certain value. It is found that relatively targe unstable regions exist around the first bending natural frequency, twice the first bending natural frequency, and twice the second bending natural frequency. The validity of the stability diagram is confirmed by direct numerical integration of the equations of motion.

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Nonlinear Dynamic Modeling and Stability Analysis of an Axially Oscillating Cantilever Beam with a Concentrated Mass (축방향 왕복 운동을 하는 집중 질량을 가진 외팔보의 비선형 동적 모델링 및 안정성 해석)

  • 홍정환;유홍희
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.11
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    • pp.868-874
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    • 2003
  • A nonlinear modeling method for an axially oscillating cantilever beam with a concentrated mass is presented in this paper. Hybrid deformation variables are employed for the modeling method with which frequency response characteristics of axially oscillating cantilever beams are investigated. The geometric nonlinear effects of stretching and curvature are considered to accurately predict the frequency response characteristics of the oscillating cantilever beam. The effects of the size and the location of the concentrated mass on the frequency characteristics are investigated. It is found that the dynamic instability is significantly influenced by the two parameters.

Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams

  • Rahmani, O.;Refaeinejad, V.;Hosseini, S.A.H.
    • Steel and Composite Structures
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    • v.23 no.3
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    • pp.339-350
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    • 2017
  • In this paper, various nonlocal higher-order shear deformation beam theories that consider the size dependent effects in Functionally Graded Material (FGM) beam are examined. The presented theories fulfill the zero traction boundary conditions on the top and bottom surface of the beam and a shear correction factor is not required. Hamilton's principle is used to derive equation of motion as well as related boundary condition. The Navier solution is applied to solve the simply supported boundary conditions and exact formulas are proposed for the bending and static buckling. A parametric study is also included to investigate the effect of gradient index, length scale parameter and length-to-thickness ratio (aspect ratio) on the bending and the static buckling characteristics of FG nanobeams.

The bending-shear-torsion performance of prestressed composite box beam

  • Wei, Hu S.;Yu, Zhao K.;Jie, Wei C.
    • Structural Engineering and Mechanics
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    • v.62 no.5
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    • pp.577-585
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    • 2017
  • To study the mechanical performances of prestressed steel-concrete composite box beam under combination of bending-shear-torsion, nine composite beams with different ratio of torsion to bending were designed. Torsion was applied to the free end of the beam with jacks controlled accurately with peripherals, as well as concentrated force on the mid-span with jacks. Based on experimental data and relative theories, mechanical properties of composite beams were analyzed, including torsional angle, deformation and failure patterns. The results showed that under certain ratio of torsion to bending, cracking and ultimate torsion increased and reached to its maximum at the ratio of 2. Three phases of process is also discussed, as well as the conditions of each failure mode.

Timoshenko theory effect on the vibration of axially functionally graded cantilever beams carrying concentrated masses

  • Rossit, Carlos A.;Bambill, Diana V.;Gilardi, Gonzalo J.
    • Structural Engineering and Mechanics
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    • v.66 no.6
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    • pp.703-711
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    • 2018
  • In this paper is studied the effect of considering the theory of Timoshenko in the vibration of AFG beams that support ground masses. As it is known, Timoshenko theory takes into account the shear deformation and the rotational inertia, provides more accurate results in the general study of beams and is mandatory in the case of high frequencies or non-slender beams. The Rayleigh-Ritz Method is employed to obtain approximated solutions of the problem. The accuracy of the procedure is verified through results available in the literature that can be represented by the model under study. The incidence of the Timoshenko theory is analyzed for different cases of beam slenderness, variation of its cross section and compositions of its constituent material, as well as different amounts and positions of the attached masses.