• Title/Summary/Keyword: moment-curvature relationship

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Seismic Curvature Ductility of RC Bridge Piers with 2.5 Aspect Ratio (형상비 2.5의 RC 교각의 내진 곡률연성도)

  • Chung, Young-Soo;Park, Chang-Kyu;Lee, Eun-Hee
    • Journal of the Earthquake Engineering Society of Korea
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    • v.8 no.3
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    • pp.1-12
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    • 2004
  • Due to the 1989 Loma Prieta, 1995 Hyogoken Nambu earthquakes, etc, a number of bridge columns  were collapsed in flexure-shear failures as a consequence of the premature termination of the column longitudinal reinforcement. Nevertheless, previous researches for the performance of bridge columns were concentrated on the flexural failure mode. It is well understood that the seismic behaviour of RC bridge piers was dependent on the performance of the plastic hinge of RC bridge piers, the ductility of which was desirable to be computed on the basis of the curvature. Experimental investigation was made to evaluate the variation of the curvature of the plastic hinge  region for the seismic performance of earthquake-damaged RC columns in flexure-shear failure mode. Seven test specimens in the aspect ratio of 2.5 were made with test parameters: confinement ratios, lap splices, and retrofitting FRP materials. They were damaged under series of artificial earthquakes that could be compatible in Korean peninsula. Directly after the pseudo-dynamic test, damaged columns were retested under inelastic reversal cyclic loading under a constant axial load, $P=0.1f_{ck}A_g$. Residual seismic capacity of damaged specimens was evaluated by analzying the moment-curvature hysteresis and the curvature ductility. Test results show that the biggest curvature was developed around 15cm above the footing, which induced the column failure. It was observed that RC bridge specimens with lap-spliced longitudinal steels appeared to fail at low curvature ductility but significant improvement was made in the curvature ductility of RC specimens with FRP straps wrapped around the plastic hinge region. Based on the experimental variation of the curvature of RC specimens, new equivalent length of the plastic hinge region was proposed by considering the lateral confinement in this study. The analytical and experimental relationship between the displacement and the curvature ductility were compared based on this proposal, which gave excellent result.

Correlation between Analytic and Experimental Results on Inelastic Behavior of Reinforced Concrete Frame

  • Lee, Han-Seon;Kim, Sang-Dae;Park, Cheol-Yong;Ko, Dong-Woo
    • International Journal of Concrete Structures and Materials
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    • v.18 no.3E
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    • pp.173-181
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    • 2006
  • The objectives of this study are to evaluate the reliability of an existing nonlinear analysis program for predicting the inelastic behavior of reinforced concrete frame with seismic details and to observe the redistribution of the internal forces, which can not be easily measured by an experiment. In order to carry out this task, the nonlinear analysis program of IDARC 2D(3) was run on a 2-bay, 2-story moment-resisting reinforced concrete plane frame with seismic details. (1) The effort to obtain the results of the analysis similar to those of experiment was made by determining the appropriate values of model parameters. The comparison of the analysis results with those of experiment and the observation of the distribution of internal forces obtained through nonlinear analysis points to the following conclusions. (1) The overall relationship between lateral load and lateral displacement given by the analysis is similar to that of experiment. However, the values of initial stiffness and the amount of energy dissipation in the initial displacement steps given by the analysis show larger values than those of experiment. (2) The analysis provided detailed information on the distribution and redistribution of internal forces and proved useful in elucidating the crack pattern, the sequence of the occurrence of plastic hinges, and the failure or yielding mechanism for the whole structure. (3) In spite of the similarity in overall behavior of analysis and experiment, there exists a significant discrepancy in some local behaviors. Furthermore, the hysteresis in the relationship between moment and curvature in some column ends have shown sudden deteriorations in strength, which can not be interpreted satisfactorily at the present time. Therefore, it is necessary to develop a better analytical model to fill this knowledge gap.

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.

Experimental Study and Evaluation of Tension Stiffening Model in High Strength Concrete Beams (고강도 콘크리트 보에서 Tension Stiffening 모델을 이용한 실험적 연구 및 평가)

  • Shin, Dae Hwan;Jo, Eunsun;Kim, Min Sook;Kim, Heechuel;Lee, Young Hak
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.1
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    • pp.45-53
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    • 2014
  • In strength limit states design, it is assumed that after cracking, reinforcement carries all tension in the tension zone of reinforced concrete members. However, it can be seen the concrete between cracks will contribute to carrying a part of the tension stress in actual concrete members particularly at service load levels, this effect is referred as tension stiffening effect. In this study, tension stiffening models and high strength concrete beam flexural test results were verified through comparison. The relationship between moment-curvature and load-deflection was evaluated by result of tension stiffening model and test result values. The analysis results showed that ACI 318 and Owen & Damjanic generally shows good agreement.

Bending characteristics of Prestressed High Strength Concrete (PHC) spun pile measured using distributed optical fibre strain sensor

  • Mohamad, Hisham;Tee, Bun Pin;Chong, Mun Fai;Lee, Siew Cheng;Chaiyasarn, Krisada
    • Smart Structures and Systems
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    • v.29 no.2
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    • pp.267-278
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    • 2022
  • Pre-stressed concrete circular spun piles are widely used in various infrastructure projects around the world and offer an economical deep foundation system with consistent and superior quality compared to cast in-situ and other concrete piles. Conventional methods for measuring the lateral response of piles have been limited to conventional instrumentation, such as electrical based gauges and pressure transducers. The problem with existing technology is that the sensors are not able to assist in recording the lateral stiffness changes of the pile which varies along the length depending on the distribution of the flexural moments and appearance of tensile cracks. This paper describes a full-scale bending test of a 1-m diameter spun pile of 30 m long and instrumented using advanced fibre optic distributed sensor, known as Brillouin Optical Time Domain Analysis (BOTDA). Optical fibre sensors were embedded inside the concrete during the manufacturing stage and attached on the concrete surface in order to measure the pile's full-length flexural behaviour under the prescribed serviceability and ultimate limit state. The relationship between moments-deflections and bending moments-curvatures are examined with respect to the lateral forces. Tensile cracks were measured and compared with the peak strains observed from BOTDA data which corroborated very well. By analysing the moment-curvature response of the pile, the structure can be represented by two bending stiffness parameters, namely the pre-yield (EI) and post-yield (EIcr), where the cracks reduce the stiffness property by 89%. The pile deflection profile can be attained from optical fibre data through closed-form solutions, which generally matched with the displacements recorded by Linear Voltage Displacement Transducers (LVDTs).

A Study on the Ultimate Strength and Behavior of Circular Section Subjected to Cross-Sectional Distortion (뒤틀림변형을 받는 관형단면의 극한강도 및 거동에 관한 연구)

  • Kim, Woo Bum
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.83-91
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    • 1994
  • An efficient method was developed to determine the ultimate strength for the segment subjected to cross-sectional distortion. Cumulative data based on the finite element analysis were used to perform the multi-regression analysis. A moment-thrust-curvature relationship of short segment was obtained with mathematical forms in the nonlinear range. The extensive parametric study was performed to generate the ultimate strength for the various segments. The result was compared with the experimental result which was not included in the database. The proposed method gives an essential tool for the nonlinear analysis of beam-column.

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ON THE RELATIONSHIP BETWEEN SUBSTORM CURRENT SYSTEM AND BURSTY BULK FLOWS AT NEAR TAIL (서브스톰 전류계와 BBF 사이의 관계에 대하여)

  • LEE DAE-YOUNG;MIN KYOUNG WOOK
    • Publications of The Korean Astronomical Society
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    • v.15 no.spc2
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    • pp.53-56
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    • 2000
  • We investigate the critical issue on how the BBF (bursty bulk flow) is related to the substorm current wedge formation. Observationally, after analysing data sets from Geotail spacecraft at near tail and many ground magnetic observatories for 9 months period of 1996, we find three BBF events that clearly occurred at the center of the wedge with region I type FAC (field-aligned current), and two other BBF events that were seen outside the wedge sector. Theoretically, we suggest that the substorm current wedge generation by BBF is most likely when the h' VB contribution is dominant in the well-known MHD $J_{II}$ expression (Vasyliunaus, 1984) or when the divergence of the cross-tail current carried by the particle's gradient/curvature drift is predominantly sufficient at the moment of the BBF arrival at near tail.

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State-of-the-art of advanced inelastic analysis of steel and composite structures

  • Liew, J.Y. Richard
    • Steel and Composite Structures
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    • v.1 no.3
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    • pp.341-354
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    • 2001
  • This paper provides a state-of-the-art review on advanced analysis models for investigating the load-displacement and ultimate load behaviour of steel and composite frames subjected to static gravity and lateral loads. Various inelastic analysis models for steel and composite members are reviewed. Composite beams under positive and negative moments are analysed using a moment-curvature relationship which captures the effects of concrete cracking and steel yielding along the members length. Beam-to-column connections are modeled using rotational spring. Building core walls are modeled using thin-walled element. Finally, the nonlinear behaviour of a complete multi-storey building frame consisting of a centre core-wall and the perimeter frames for lateral-load resistance is investigated. The performance of the total building system is evaluated in term of its serviceability and ultimate limit states.

An Analytical Study on Ductility of Reinforced Concrete Columns under Tension Controlled Region (인장지배영역에서의 철근콘크리드 기둥의 연성에 관한 해석적 연구)

  • 손혁수;김준범;이재훈
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.527-532
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    • 1997
  • Design strength of structural members could be determined by applying a strength reduction factor to nominal strength. At the beginning point of the transition region for the strength reduction factor, P=0.1$\sigma$$_{ck}A_g$, only sectional area and concrete strength are adopted as the variables of P=0.1$\sigma$$_{ck}A_g$. Therefore, P=0.1$\sigma$$_{ck}A_g$ is the empirically adopted which does not consider steel ratio, steel yielding stress, and steel arrangement. So, this research was perpormed the computer program for the analysis of axial force-moment-curvature relationship of reinforced concrete columns by sectional behaviour nonlinear analysis using a concrete compressive stress-strain curve, in order to investigate the ductility of reinforced concrete columns. As a result, ductility indicies of axial force, P=0.1$\sigma$$_{ck}A_g$, represented the lack of consistency of the indicies value for the various sections.

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Performance and Evaluation of Flexural Toughness Indices for HPFRCCs (고인성 섬유보강 시멘트 복합체의 휨인성 성능 및 평가)

  • Han Byung Chan;Yang Il-Seung;Park Wan Shin;Jeon Esther;Kim Sun Woo;Yun Hyun Do
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.11a
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    • pp.615-618
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    • 2004
  • The primary role of fibers in High performance fiber reinforced cement composites(HPFRCCs) is to improve the toughness, or energy absorption capacity, of the composite material, However, there is still no general agreement as to how this toughness should be characterized, or how it might be used in the design of structures containing HPFRCCs. In this paper, therefore, we focus on test techniques for measuring flexural toughness. For mechanical properties, HPFRCCs can be tested in the same way as fiber reinforced concrete(FRC). Both the significance and the limitations of somewhat different national and industrial standards of FRC are discussed. For flexural toughness, with depend on the presence of fibers, new test methods was developed and verified. We also suggest evaluation method of tensile toughness indices using the moment curvature relationship in flexural tests.

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