• 제목/요약/키워드: Moment-Curvature

검색결과 319건 처리시간 0.019초

EFFECT OF CONCRETE STRENGTH ON FLEXURAL DEFLECTION OF HIGH-STRENGTH REINFORCED CONCRETE BEAMS

  • Inju Lee;Taewan Kim;Sung-Nam Hong;Jie Cui;Sun-Kyu Park
    • 국제학술발표논문집
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    • The 3th International Conference on Construction Engineering and Project Management
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    • pp.1313-1317
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    • 2009
  • Deflections of Reinforced concrete structures must satisfy the permissible values and it is hard to predict the due to uncertainty of deflection of the reinforced concrete structures. Thus, many researchers have suggested a number of experimental equation of deflection against the uncertainty. In a specification, a procedure to evaluate flexure deflection using effective moment of inertia and moment-curvature relation is suggested. ACI offers a method using effective moment of inertia, which has been developed by Branson. Eurocode 2(EC2) suggests a procedure to evaluate deflection of reinforced concrete structure using moment-curvature relation. In this paper, a series of experiments were conducted on the singly reinforced concrete beams which have the same reinforcement ratio and different concrete strength. Therefore, the effect of the concrete strength on the deflection of the beams was analysed. The deflections obtained from the experiment were compared with the deflections calculated with ACI code and EC2.

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Failure life estimation of sharp-notched circular tubes with different notch depths under cyclic bending

  • Lee, Kuo-Long;Chang, Kao-Hua;Pan, Wen-Fung
    • Structural Engineering and Mechanics
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    • 제60권3호
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    • pp.387-404
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    • 2016
  • In this paper, the response and failure of sharp-notched 6061-T6 aluminum alloy circular tubes with five different notch depths of 0.4, 0.8, 1.2, 1.6 and 2.0 mm subjected to cyclic bending were experimentally and theoretically investigated. The experimental moment-curvature relationship exhibits an almost steady loop from the beginning of the first cycle. And, the notch depth has almost no influence on its relationship. However, the ovalization-curvature relationship exhibits a symmetrical, increasing, and ratcheting behavior as the number of cycles increases. In addition, a higher notch depth of a tube leads to a more severe unsymmetrical trend of the ovalization-curvature relationship. Focusing on the aforementioned relationships, the finite element software ANSYS was used to continue the related theoretical simulation. Furthermore, the five groups of tubes tested have different notch depths, from which five unparallel straight lines can be observed from the relationship between the controlled curvature and the number of cycles required to produce failure in the log-log scale. Finally, a failure model was proposed to simulate the aforementioned relationship. Through comparison with the experimental data, the proposed model can properly simulate the experimental data.

CONSTRAINTS ON PRE-INFLATION COSMOLOGY AND DARK FLOW

  • MATHEWS, GRANT J.;LAN, N.Q.;KAJINO, T.
    • 천문학논총
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    • 제30권2호
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    • pp.309-313
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    • 2015
  • If the present universe is slightly open then pre-inflation curvature would appear as a cosmic dark-flow component of the CMB dipole moment. We summarize current cosmological constraints on this cosmic dark flow and analyze the possible constraints on parameters characterizing the pre-inflating universe in an inflation model with a present-day very slightly open ${\Lambda}CDM$ cosmology. We employ an analytic model to show that for a broad class of inflation-generating effective potentials, the simple requirement that the observed dipole moment represents the pre-inflation curvature as it enters the horizon allows one to set upper and lower limits on the magnitude and wavelength scale of pre-inflation fluctuations in the inflaton field and the curvature parameter of the pre-inflation universe, as a function of the fraction of the total initial energy density in the inflaton field. We estimate that if the current CMB dipole is a universal dark flow (or if it is near the upper limit set by the Planck Collaboration) then the present constraints on ${\Lambda}CDM$ cosmological parameters imply rather small curvature ${\Omega}_k{\sim}0.1$ for the pre-inflating universe for a broad range of the fraction of the total energy in the inflaton field at the onset of inflation. Such small pre-inflation curvature might be indicative of open-inflation models in which there are two epochs of inflation.

철근콘크리트 전단벽의 횡하중-횡변위 관계의 일반화 (Generalized Lateral Load-Displacement Relationship of Reinforced Concrete Shear Walls)

  • 문주현;양근혁
    • 콘크리트학회논문집
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    • 제26권2호
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    • pp.159-169
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    • 2014
  • 이 연구에서는 철근콘크리트 전단벽의 횡하중 거동과 연성을 합리적으로 평가하기 위해서 모멘트-곡률관계를 정립하고 이로부터 단순화된 횡하중-횡변위관계를 제시하였다. 최초 휨 균열, 인장철근 항복, 최대내력, 최대내력의 80% 및 인장철근파단시점에서 모멘트와 곡률은 힘의 평형조건과 변형적합조건으로부터 정립되었다. 최대내력 이후의 곡률평가를 위한 압축측연단 콘크리트 변형률은 Razvi and Saatcioglu의 구속된 콘크리트의 응력-변형률 관계를 이용하여 최대응력의 감소계수와 횡보강근 체적지수의 함수로 제시하였다. 모멘트 평가모델은 변수연구를 통하여 인장철근지수, 수직철근지수 및 축력지수의 함수로 일반화하였다. 횡변위는 전단벽의 높이에 따라 분포된 이상화된 곡률로부터 모멘트 면적법을 이용하여 환산하였다. 제시된 횡하중-횡변위관계는 기존 실험 결과와 잘 일치하였으며, 특히 최대내력 이후의 거동을 잘 평가하였다.

초고강도 섬유보강 직사각형 콘크리트보의 모멘트-곡률 관계 (The Moment-Curvature Relationship of the Rectangular Ultra High Performance Fiber Reinforced Concrete Beam)

  • 한상묵;궈칭용
    • 한국방재학회 논문집
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    • 제11권3호
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    • pp.9-15
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    • 2011
  • 압축강도 100 MPa, 140 MPa 초고강도 섬유보강 콘크리트 직사각형보와 기하하적 조건 및 PS힘이 동일한 160 MPa RPC 직사각형보의 휨거동 비교를 통하여 압축강도가 낮은 초고강도 섬유보강 콘크리트 구조물의 거동 특성을 파악하였다. 직사각형보에 철근은 배근되지 않았으며 실험변수로는 강섬유, 콘크리트 압축강도, 프리스트레스 도입 방식, PS강재비 등이다. 모멘트-곡률관계와 하중-처짐관계를 통하여 압축응력이 작은 UHPC 직사각형보의 거동 특징을 분석하였다. 초고강도 섬유보강 콘크리트에 대한 간단한 형태의 응력-변형률 관계를 제안하였으며 이를 이용하여 UHPC 직사각형보에 대한 모멘트-곡률관계를 산정하였다. 실험에 의한 모멘트-곡률관계를 비교한 결과 상당히 일치함을 알 수 있었다.

철근콘크리트 휨 부재에서 인장, 압축 및 횡보강근이 연성률에 미치는 효과 (Effect of Tension, Compression and Lateral Reinforcement In Ductility Ratio in RC Flexural Members)

  • 연규원;박찬수
    • 콘크리트학회논문집
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    • 제13권6호
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    • pp.553-560
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    • 2001
  • 철근콘크리트 휨부재의 비탄성해석 및 설계를 위해서는 연성능력의 평가가 필요하며, 이를 위해서는 모멘트-곡률 관계가 정의되어야 한다. 따라서, 본 연구에서는 모멘트 곡률관계를 가정하여 철근콘크리트 휨부재의 연성능력을 해석적 방법으로 구하고, 실험결과와 비교한 결과, 실험값과 해석값은 거의 일치하였으므로 가정한 모멘트-곡률관계는 적합한 것으로 판명 되었다. 또한, 연성률은 곡률연성, 회전연성, 변위연성을 비교하였으며, 철근콘크리트 휨부재의 연성능력에 주로 영향을 미치는 요소는 인장철근, 압축철근 및 휨보강근으로 보고, 실험값과 해석값을 다양하게 분석한 결과 ($\rho$$_{s}$$\rho$')/$\rho$의 항으로 연성능력을 나타냄이 적절한 것으로 나타났다.

Endochronic simulation for the response of 1020 carbon steel tubes under symmetric and unsymmetric cyclic bending with or without external pressure

  • Lee, Kuo-Long;Hsu, Chien-Min;Hung, Chao-Yu
    • Steel and Composite Structures
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    • 제8권2호
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    • pp.99-114
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    • 2008
  • This paper presents the theoretical simulation of the response of 1020 carbon steel tubes subjected to symmetric and unsymmetric cyclic bending with or without external pressure by using the endochronic theory. Experimental data of 1020 carbon steel tubes tested by Corona and Kyriakides (1991) were used for evaluating the theoretical simulation. Several cases were considered in this study, they were symmetric bending without external pressure, symmetric bending with external pressure, unsymmetric bending without external pressure, and unsymmetric bending with external pressure. The responses of the moment-curvature, ovalization-curvature and ovalization-number of cycles with or without external pressure were discussed. It has been shown that the theoretical simulations of the responses correlate well with the experimental data.

Flexural analysis of steel fibre-reinforced concrete members

  • Chalioris, Constantin E.;Panagiotopoulos, Thomas A.
    • Computers and Concrete
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    • 제22권1호
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    • pp.11-25
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    • 2018
  • A numerical approach for the evaluation of the flexural response of Steel Fibrous Concrete (SFC) cross-sections with arbitrary geometry, with or without conventional steel longitudinal reinforcing bars is proposed. Resisting bending moment versus curvature curves are calculated using verified non-linear constitutive stress-strain relationships for the SFC under compression and tension which include post-peak and post-cracking softening parts. A new compressive stress-strain model for SFC is employed that has been derived from test data of 125 stress-strain curves and 257 strength values providing the overall compressive behaviour of various SFC mixtures. The proposed sectional analysis is verified using existing experimental data of 42 SFC beams, and it predicts the flexural capacity and the curvature ductility of SFC members reasonably well. The developed approach also provides rational and more accurate compressive and tensile stress-strain curves along with bending moment versus curvature curves with regards to the predictions of relevant existing models.

Seismic performance of high strength reinforced concrete columns

  • Bechtoula, Hakim;Kono, Susumu;Watanabe, Fumio
    • Structural Engineering and Mechanics
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    • 제31권6호
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    • pp.697-716
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    • 2009
  • This paper summarizes an experimental and analytical study on the seismic behavior of high strength reinforced concrete columns under cyclic loading. In total six cantilever columns with different sizes and concrete compressive strengths were tested. Three columns, small size, had a $325{\times}325$ mm cross section and the three other columns, medium size, were $520{\times}520$ mm. Concrete compressive strength was 80, 130 and 180 MPa. All specimens were designed in accordance with the Japanese design guidelines. The tests demonstrated that, for specimens made of 180 MPa concrete compressive strength, spalling of cover concrete was very brittle followed by a significant decrease in strength. Curvature was much important for the small size than for the medium size columns. Concrete compressive strength had no effect on the curvature distribution for a drift varying between -2% and +2%. However, it had an effect on the drift corresponding to the peak moment and on the equivalent viscous damping variation. Simple equations are proposed for 1) evaluating the concrete Young's modulus for high strength concrete and for 2) evaluating the moment-drift envelope curves for the medium size columns knowing that of the small size columns. Experimental moment-drift and axial strain-drift histories were well predicted using a fiber model developed by the authors.

Post-peak behavior and flexural ductility of doubly reinforced normal- and high-strength concrete beams

  • Pam, H.J.;Kwan, A.K.H.;Ho, J.C.M.
    • Structural Engineering and Mechanics
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    • 제12권5호
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    • pp.459-474
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    • 2001
  • The complete moment-curvature curves of doubly reinforced concrete beams made of normal- or high-strength concrete have been evaluated using a newly developed analytical method that takes into account the stress-path dependence of the constitutive properties of the materials. From the moment-curvature curves and the strain distribution results obtained, the post-peak behavior and flexural ductility of doubly reinforced normal- and high-strength concrete beam sections are studied. It is found that the major factors affecting the flexural ductility of reinforced concrete beam sections are the tension steel ratio, compression steel ratio and concrete grade. Generally, the flexural ductility decreases as the amount of tension reinforcement increases, but increases as the amount of compression reinforcement increases. However, the effect of the concrete grade on flexural ductility is fairly complicated, as will be explained in the paper. Quantitative analysis of such effects has been carried out and a formula for direct evaluation of the flexural ductility of doubly reinforced concrete sections developed. The formula should be useful for the ductility design of doubly reinforced normal- and high-strength concrete beams.