• Title/Summary/Keyword: Tension stiffening 모델

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Analytical Modeling for Reinforced Concrete Beam Deflections Using Layered Finite Elements (층상 유한요소를 이용한 철근콘크리트 보의 처짐 해석모델)

  • 최봉섭;권영웅
    • Journal of the Korea Concrete Institute
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    • v.11 no.5
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    • pp.131-137
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    • 1999
  • The use of higher strength materials with the strength methed of design has resulted in more slender member and shallower sections. For this reason, it is necessary to satisfy the requirements of serviceability even though the structural safety is the most important limit state. This paper is only concerned with the control of deflections in the serviceability. In this study, an analytical model is presented to predict the deflections of reinforced concrete beams to given loading and environmental conditions. This model is based on the finite element approach in which a finite element is generally divided into a number of stiffening effect due to cracking, creep and shrinkage. Comparisons are made with available measured deflections reported by others to assess the capability of the layered beam model. The calculated values of instantaneous and long-term deflection show good agreement with experimental results in the range of tension stiffening parameter $\beta$ between 2.5 and 3.0.

Limit Span/Depth Ratio for Indirect Deflection Control in Reinforced Concrete Flexural Members (철근콘크리트 휨부재의 처짐 간접제어를 위한 한계 지간/깊이-비 연구)

  • Choi, Seung-Won;Kim, Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1A
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    • pp.35-41
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    • 2011
  • In concrete structural design provisons, two methods are normally provided to control deflection; direct method and indirect method. It is more efficient to use the indirect deflection control by which the span/depth ratio is limited not to exceed an allowable deflection limit. Because actual deflections are affected by many causes, it is complicated to evaluate actual deflections. In this study, limit span/depth ratios are derived from the deflection calculated directly at the serviceability limit state in RC members. The deflection is obtained from using average curvature, which depends on materials model used. The main variables examined are tension stiffening effect, concrete strength, cross section size and compressive steel ratio. It could be appeared that more analytical consistency is secured to use the 2nd order form of tension stiffening effect. And the limit span/depth ratio is dependent on material strength, tensile and compressive steel ratio but it is independent on cross-section size.

Evaluation of Crack Estimation Equation for the Reinforced Concrete Tension Member (철근콘크리트 인장부재의 균열 산정식 평가)

  • Park, Chan-Wook;Noh, Sam-Young;Shin, Eun-Mi
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.3 s.55
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    • pp.197-208
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    • 2009
  • The purpose of this research is the evaluation of the estimation equation of "CEP-FIP Model Code 1990(1991)", recently included in the domestic "Concrete Structure Design Code(2007)" in consideration of the concrete strength. As evaluation tools, crack element model applied a detailed bond-slip model as well as crack width obtained from experimental results by earlier researches. The crack element model is verified through the comparison with experimental results. The important variables in the estimation equation for the crack width in CEP-FIP Model Code 1990 are the tension stiffening effect and mean bond stress proposed in the paper to be improved in consideration of the concrete strength.

Cracking Models in Finite Element Analysis of Reinforced Concrete Structure (철근콘크리트 구조물의 유한요소 해석을 위한 균열모델)

  • 최창근;정성훈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.23-28
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    • 1991
  • A simple, yet effective, material model of concrete is presented in this paper. Based on the orthotropic model in which the assumption of orthogonal principal strain axes is used, the incremental stress-strain relation of concrete is defined in the biaxial stress condition and the rotating crack model is adopted to represent realistically the change of the crack direction according to the different loading pad after cracking. Numerical results obtained from the finite element analysis are compared favourably with the available experimental data. By the parametric study, moreover, it was found that He most important factor in the structural behavior when the reinforced concrete structure is subjected to the dominent shear forces is the tension stiffening effect. The influences of the tension stiffening effect remarkably appears as the steel ratio decreases.

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Failure Analysis of Deteriorated Reinforced Concrete T-Girder Bridge Subject to Cyclic Loading (정적 반복하중을 받는 노후된 철근콘크리트 T형교의 파괴해석)

  • 송하원;송하원;변근주
    • Magazine of the Korea Concrete Institute
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    • v.10 no.6
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    • pp.291-301
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    • 1998
  • In this paper, two dimensional and three dimentional modeling techniques are proposed for the failure analysis of deteriorated reinforced concrete T-girder bridge subjected to cyclic loading up to failure. For the nonlinear failure anaysis, a tension stiffening model which can consider degradation of bond between reinforcement and surrounding concrete due to corrision of rebars in old bridge is proposed and a modeling technique for the supports conditions of the bridges which can consider degradation of bearing at supports in old bridge is also proposed, The analysis results along with comparisons with full-scale failure-test results confirm that finite element modeling techniques in this paper can be well applied to the failure analyses of in-situ old reinforced concrete T-girder bridges subjected to cyclic loading and the support condition modeling especially affects the bridge strength significantly.

Hanger Tension Variation of Self-Anchored Suspension Bridge in Construction (시공중 자정식 현수교의 행거 장력변화)

  • Kim, Ho Kyung;Suh, Jeong In
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1309-1317
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    • 1994
  • Because the stiffening girders are constructed after the installation of hangers for typical suspension bridge, no additional tensioning to hangers in construction is necessary for this bridge type in which main cable is earth-anchored. However, for self-anchored suspension bridge, hangers are installed after temporarily supporting stiffening girders constructed in previous stage. Therefore, initial tension is required on installing hangers. Tension of hangers varies as the construction proceeds. Hence, it is necessary to determine the most efficient method of installing hangers among several methods. This study presents finite element procedures and the algorithms of construction stage analysis to simulate construction processes. Geometric nonlinear analysis scheme is also included. The most effective method regarding the installation of hangers is presented through the examples of actual bridge model.

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Material Nonlinear Finite Element Analysis of Reinforced Concrete Structures (재료비선형성을 고려한 R/C 구조물의 유한요소해석)

  • Choi, Chang Koon;Kwak, Hyo Gyoung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.31-38
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    • 1989
  • This paper concentrates on the analysis of reinforced concrete(R/C) structures subjected to monotonic loading, from zero to ultimate loads. Tensile cracking, the nonlinear stress-strain relationship for concrete and reinforcement are taken into account the concrete is assumed to be elastic in tension region and elasto-hardening plastic in compression region. The Kupfer's failure criteria and associated flow rule are adopted to govern the plastic behavior of the concrete. The reinforcing bar is considered as a elasto-hardening platic material. The tension stiffening effect of the concrete between cracks is also considered. The numerical error depends on the used finite element mesh size is reduced by correcting the slope of strain softening region of the concrete according to the developed energy criteria.

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Torsional Resistance of RC Beams Considering Tension Stiffening of Concrete (콘크리트의 인장강성을 고려한 RC보의 공칭비틀림강도)

  • 박창규
    • Journal of the Korea Concrete Institute
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    • v.14 no.1
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    • pp.24-32
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    • 2002
  • The modified compression field theory is already applied in shear problem at some code(AASHTO-1998) partly. Nominal shear strength of concrete beam is sum of the concrete shcar strength and the steel shear strength in the current design code. But Torsional moment strength of concrete is neglected in the calculation of the nominal torsional moment strength of concrete beam In the current revised code. Tensile stress of concrete strut between cracks is still in effect due to tension stiffening effect. But The tensile stresses of concrete after cracking are neglected in bending and torsion In design. The torsional behavior is similar to the shear behavior in mechanics. Therefore the torsional moment strength of concrete should be concluded in the nominal torsional moment strength of reinforced concrete beam. This paper shows that the torsional moment strength of concrete is caused by the average principal tensile stress of concrete. To verify the validity of the proposed model, the nominal torsional moment strengths according to two ACI codes (89, 99) and proposed model are compared to experimental torsional moment strengths of 55 test specimens found in literature. The nominal torsional moment strengths by the proposed model show the best results.

Analysis of Crack Width and Deflection Based on Nonlinear Bond Characteristics in Reinforced Concrete Flexural Members (비선형 부착 특성에 기반한 철근콘크리트 휨부재의 균열폭과 처짐 해석)

  • Lee, Gi-Yeol;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.20 no.4
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    • pp.459-467
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    • 2008
  • This paper describes a proposal for average crack width and immediate deflection calculation in structural concrete members. The model is mathematically derived from actual bond stressslip relationships and tension stiffening effect between reinforcement and the surrounding concrete, and the actual strains of steel and concrete are integrated respectively along the embedded length between the adjacent cracks so as to obtain the difference in the axial elongation. With these, a model for average crack width and immediate deflection in reinforced concrete flexural members are proposed utilizing difference in the axial elongation and average steel strain and moment-curvature relationship with taking account of bond characteristics. The model is applied to the test specimens available in literatures, and the crack width and deflections predicted by the proposal equation in this study are closed to the experimentally measured data compared the current code provisions.

Nonlinear FE Analysis of RC Shear Walls (철근콘크리트 전단벽의 비선형 유한요소해석)

  • 곽효경;김도연
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.293-308
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    • 1999
  • 이 논문에서는 패널, 깊은 보 그리고 전단벽과 같이 평면응력상태하에 있는 철근콘크리트 구조물의 비선형 유한요소해석에 있어서의 직교이방성 콘크리트 구성 모델의 적용성을 보여준다. 등가의 일축 변형을 개념을 토대로 콘크리트의 구성 관계가 주변형률 축과 일치하고 하중이력에 따라 회전하는 직교하는 축에 대해 제시된다. 제안된 모델은 이축 압축응력상태와 인장-압축 응력상태에서 각각 압축강도의 증가와 인장 저항력의 감소효과를 보여주는 이축 파괴영역의 정의를 포함한다. 인장균열이 발생한 후, 콘크리트의 압축강도의 감소효과가 제시되고, 인장강화효과로 알려진 철근에 의해 지지되는 콘크리트의 인장응력이 고려된다. 평균응력과 평균변형률 개념을 사용하여 힘의 평형, 적합조건 그리고 철근과 철근을 둘러싼 콘크리트 사이의 부착응력-슬림 관계를 토대로 인장강화효과를 모사하기 위한 모델이 제안된다. 유한요소 모델에 의한 예측은 유용한 실험자료와의 비교에 의해 입증된다. 이 논문에서는 해석결과와 이상화한 전단 패널실험으로부터 얻어진 실험값의 비교연구가 수행되고, 제안된 모델의 타당성을 보여주기 위해 서로 다른 응력상태하의 전단 패널 보와 벽체의 힘-변위 관계를 평가하였다.

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