• Title/Summary/Keyword: Flexural Moment

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DYNAMIC CHARACTERISTICS OF A ROTATING TIMOSHENKO BEAM SUBJECTED TO A VARIABLE MAGNITUDE LOAD TRAVELLING AT VARYING SPEED

  • OMOLOFE, BABATOPE;OGUNYEBI, SEGUN NATHANIEL
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.20 no.1
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    • pp.17-35
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    • 2016
  • In this study, the dynamic behaviour of a rotating Timoshenko beam when under the actions of a variable magnitude load moving at non-uniform speed is carried out. The effect of cross-sectional dimension and damping on the flexural motions of the elastic beam was neglected. The coupled second order partial differential equations incorporating the effects of rotary and gyroscopic moment describing the motions of the beam was scrutinized in order to obtain the expression for the dynamic deflection and rotation of the vibrating system using an elegant technique called Galerkin's Method. Analyses of the solutions obtained were carried out and various results were displayed in plotted curve. It was found that the response amplitude of the simply supported beam increases with an increase in the value of the foundation reaction modulus. Effects of other vital structural parameters were also established.

Flexural Adhesive Behavior of Full-scale RC Beams Strengthened by Carbon Fiber Sheets (실물모형 실험에 의한 탄소섬유쉬트 보강 RC 보의 휨 부착거동)

  • 최기선;류화성;최근도;이한승;유영찬;김긍환
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.11a
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    • pp.1003-1008
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    • 2001
  • It is recently reported that bond failure can be initiated in the region where maximum bending moment and shear force is acted by accompanying shear deformation after flexural crack in full-scale RC beams strengthened by CFRP. Such a shear deformation effect causing bond failure is relatively little in the case of small-scale specimens. So, additional reinforcing details to the critical beam section where maximum moment and shear were acted is required to prevent the bond failure caused by the shear deformations. The U-type wrapping methods by CFRP to the critical beam section is proposed and tested in this paper. Also, the applicability of design bond strength derived from the tests of small-scale beam was investigated by the full-scale RC beam strengthened by CFRP.

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Nonlinear modeling of flat-plate structures using grid beam elements

  • Tian, Ying;Chen, Jianwei;Said, Aly;Zhao, Jian
    • Computers and Concrete
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    • v.10 no.5
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    • pp.489-505
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    • 2012
  • This paper presents a simplified grid beam model for simulating the nonlinear response of reinforced concrete flat-plate structures. The beam elements are defined with nonlinear behavior for bending moment and torsion. The flexural stiffness and torsional strength of the beam elements are defined based on experimental data to implicitly account for slab two-way bending effects. A failure criterion that considers the interaction between the punching strength and slab flexural behavior is incorporated in the model. The effects of bond-slip of slab reinforcement on connection stiffness are examined. The proposed grid beam model is validated by simulating large-scale tests of slab-column connections subjected to concentric gravity loading and unbalanced moment. This study also determines the critical parameters for a hysteretic model used to simulate flat-plates subjected to cyclic lateral loading.

Slenderness effects on the simulated response of longitudinal reinforcement in monotonic compression

  • Gil-Martin, Luisa Maria;Hernandez-Montes, Enrique;Aschheim, Mark;Pantazopoulou, Stavroula J.
    • Structural Engineering and Mechanics
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    • v.23 no.4
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    • pp.369-386
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    • 2006
  • The influence of reinforcement buckling on the flexural response of reinforced concrete members is studied. The stress-strain response of compression reinforcement is determined computationally using a large-strain finite element model for bars of varied diameter, length, and initial eccentricity, and a mathematical expression is fitted to the simulation results. This relationship is used to represent the response of bars in compression in a moment-curvature analysis of a reinforced concrete cross section. The compression bar may carry more or less force than a tension bar at a corresponding strain, depending on the relative influence of Poisson effects and bar slenderness. Several cross-section analyses indicate that, for the distances between stirrups prescribed in modern concrete codes, the influence of inelastic buckling of the longitudinal reinforcement on the monotonic moment capacity is very small and can be neglected in many circumstances.

Flexural Vibration Analysis of Mindlin Rectangular Plates Having V-notches or Sharp Cracks (V노치 또는 예리한 균열을 가지는 Mindlin 직사각형 평판의 휨 진동해석)

  • Kim, Joo-Woo;Jung, Eui-Young;Kim, Seung-Hyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.35-42
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    • 2003
  • This paper provides the first known flexural vibration data for thick (Mindlin) rectangular plates having V-notches. The V-notch has bending moment and shear force singularities at its sharp corner due to the transverse vibratory bending motion. Based upon Mindlin plate theory, in which transverse shear deformation and rotary inertia effects are considered, the Ritz procedure is employed with a hybrid set of admissible functions assumed for the rotational and transverse vibratory displacements. This set includes: (1) a mathematically complete set of admissible algebraic-trigonometric polynomials which guarantee convergence to exact frequencies as sufficient terms are retained; and (2) an admissible set of Mindlin corner functions which account for the bending moment and shear force singularities at the sharp corner of the V-notch. Extensive convergence studies demonstrate the necessity of adding the Mindlin corner functions to achieve accurate frequencies for rectangular plates having sharp V-notches.

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Deflection Analysis of Flexural Composite Members Considering Early-Age Concrete Properties (콘크리트의 초기재령특성을 고려한 합성형 휨 부재의 재령종속적 처짐해석)

  • 성원진;김정현;윤성욱;이용학
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.427-432
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    • 2003
  • An analytical method to predict the flexural behavior of composite girder is presented in which the early-age properties of concrete are specified including maturing of elastic modulus, creep and shrinkage. The time dependent constitutive relation accounting for the early-age concrete properties is derived in an incremental format by expanding the total form of stress-strain relation by the first order Taylor series with respect to the reference time. The sectional analysis calculates the axial and curvature strains based on the force and moment equilibriums. The deflection curve of the box girder approximated by the quadratic polynomial function is calculated by applying to the proper boundary conditions in the consecutive segments. Numerical applications are made for the 3-span double composite steel box girders which is a composite bridge girder filled with concrete at the bottom of the steel box in the negative moment region. The one dimensional finite element analysis results are compared with those of the three dimensional finite element analysis and the analytical method based on the sectional analysis. Close agreement is observed among the three methods.

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Study on the Ultimate Flexural Behavior Analysis of Prestressed Concrete Beam with External Unbonded Tendons (외적 비부착강선을 가진 프리스트레스트 콘크리트 보의 극한휨거동 해석)

  • 오병환;유성원;신정성
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10b
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    • pp.662-667
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    • 1998
  • Recently, the using PSC with external unbonded tendons is increased. However, the behavior of external unbonded tendons is different with that of bonded internal tendon at ultimate state by compatibility condition, the slip with friction at deviator and the change of tendon eccentricity e.t.c., So, the analytical research considered the effect of these inherent characters was performed and the tendency of external unbonded tendons was estimated by numerical examples. By the analytical results, load-deflection relationship and stress increment of external unbonded tendons were similar to those of internal bonded tendon at initial elastic behavior state. Those characters were, however, smaller than those character of internal bonded tendons. For external unbonded tendons, if the 1 deviator which is positioned at maximum moment point and more 2 deviators which are position between maximum moment point and support are existed, the flexural behavior is similar to internal bonded tendons.

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An Analysis of Flexural Performance of Concrete Filled Soldier Pile Applied to Temporary Retaining Wall (흙막이 벽체에 적용하는 콘크리트 충전형 엄지말뚝의 휨성능 분석)

  • Park, Yong-Hyeon;Kim, Do-Bumn;Ju, Young-Kyu;Yang, Il-Seung;Yom, Kyong-Soo
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.3
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    • pp.19-25
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    • 2019
  • The purpose of this study was to evaluate bending performance of concrete filled soldier pile for temporary retaining wall. Structural performance tests were conducted on total number of four specimens. Each specimen had a unique characteristics with combination of the following variables, existence of reinforcing bar and locations of reinforcing steel plates. The results of this study were as follows; concrete filled steel tubes with being reinforced bar and flange rather than non-bar showed better performance. Higher yield, tensile strength and sufficient plastic strain were archived and maximum moment observed in experiments exceeded theoretical maximum moment in both allowable stress design and limit state design at all specimens.

Flexural Resistance and Ductility Ratio of Composite Hybrid I-Girder using HSB High Performance Steel in Positive Bending (HSB 고성능 강재를 적용한 강합성 I-거더 정모멘트에 대한 휨저항강도 및 연성비)

  • Choi, Dong Ho;Lim, Ji Hoon
    • Journal of Korean Society of Steel Construction
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    • v.26 no.3
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    • pp.205-217
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    • 2014
  • In this study, flexural strength and ductility requirements of composite hybrid steel I-girder with its HSB(high performance steel for bridge) applied to tension flanges are examined in positive bending. In AASHTO LRFD specification, flexural strength and ductility requirements of composite I-girder in positive bending are specified in terms of plastic moment and plastic neutral axis that are derived from plastic behavior of conventional steel. However, plastic zone cannot be defined clearly from the stress-strain behavior of HSB unlike the behavior of conventional steel. Therefore, through idealized stress-strain curves of HSB, the plastic moment of composite hybrid steel I-girder with its HSB applied to tension flanges is defined by assuming the plastic zone of HSB. By using the consequences of numerical analysis regarding arbitrary cross-sections that have various dimensions, ductility requirements and flexural strength of composite hybrid I-girder with its HSB applied to tension flange are proposed.

Flexural Strength of Hybrid Steel Fiber-Reinforced Ultra-High Strength Concrete Beams (하이브리드 강섬유 보강 초고강도 콘크리트 보의 휨강도)

  • Yang, In-Hwan;Kim, Kyoung-Chul;Joh, Chang-Bin
    • Journal of the Korea Concrete Institute
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    • v.27 no.3
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    • pp.283-290
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    • 2015
  • This paper proposes a method for predicting flexural strength of hybrid steel fiber-reinforced ultra-high strength concrete beams. It includes an experimental test framework and associated numerical analyses. The experimental program includes flexural test results of hybrid steel fiber-reinforced ultra-high strength concrete beams with steel fiber content of 1.5% by volume. Tensile softening characteristics play an important role in the structural behavior of steel fiber-reinforced ultra high performance concrete. Tension softening modeling is carried out by using crack equation based on fictitious crack and inverse analysis in which load-crack mouth opening displacement relationship is considered. The comparison of moment-curvature curves of the numerical analysis results with the test results shows a reasonable agreement. Therefore, the numerical results confirms that good prediction of flexural behavior of steel fiber-reinforced ultra high strength concrete beams can be achieved by employing the proposed method.