• 제목/요약/키워드: ultimate deflection

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Behavior of reinforced lightweight aggregate concrete hollow-core slabs

  • Al-Azzawi, Adel A.;Al-Aziz, Basma M. Abdul
    • Computers and Concrete
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    • 제21권2호
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    • pp.117-126
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    • 2018
  • This research investigate the behavior of reinforced normal and lightweight aggregate concrete hollow core slabs with different core shapes, shear span to effective depth (a/d). The experimental work includes testing seven reinforced concrete slabs under two vertical line loads. The dimensions of slab specimens were (1.1 m) length, (0.6 m) width and (0.12 m) thickness. The maximum reduction in weight due to aggregate type was (19.28%) and due to cross section (square and circular) cores was (17.37 and 13.64%) respectively. The test results showed that the decrease of shear span to effective depth ratio from 2.9 to 1.9 for lightweight aggregate solid slab cause an increase in ultimate load by (29.06%) and increase in the deflection value at ultimate load or the ultimate deflection by (17.79%). The use of lightweight aggregate concrete in casting solid slabs give a reduction in weight by (19.28%) and in the first cracking and ultimate loads by (16.37%) and (5%) respectively for constant (a/d=2.9).The use of lightweight aggregate concrete in casting hollow circular core slabs with constant (a/d=2.9) (reduction in weight 32.92%) decrease the cracking and ultimate loads by (12%) and (5.18%) respectively with respect to the solid slab. These slab specimens were analyzed numerically by using the finite element computer program ANSYS. Good agreements in terms of behavior, cracking load (load at first visible crack) and ultimate load (maximum value of testing load) was obtained between finite element analysis and experimental test results.

외압(外壓)을 받는 축대칭(軸對稱) Shell의 한계하중(限界荷重)에 관한 연구(硏究) (Ultimate Load Analysis of Axisymmetric Shells of Revolution Subjected to External Pressure)

  • 김재복;김창렬
    • 대한조선학회지
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    • 제20권4호
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    • pp.1-8
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    • 1983
  • This paper describes the application of the finite element method to the large deflection elastic plastic analysis and ultimate load calculation of axisymmetric shell of revolution with initial imperfection subjected to external pressure. The nonlinear equilibrium equations are linearized by the successive incremental method and are solved by the combination of load increment and iteration scheme with considering plastic deformation theory. To get the more realistic effect of large deflection, corrected coordinats and directions of applied load ar every load increment steps are used. The effects of the plasticity, initial imperfection and the shape of shells on the ultimate load of clamped circular cap under external pressure are investigated. Consequently, the following conclusions are obtained; (1) At same geometric parameter $\lambda$, each shape of clamped circular caps yield same elastic ultimate loads in both cases, i.e. with and without initial imperfections, whereas, in the case of elastic-plastic state the shell becomes thicker, the ultimate loads are getting smaller. (2) The effects of initial imperfection to ultimate load are most significant in the elastic case and are more senstive in the elastic-plastic state with the thinner shells.

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이질 보강근 및 섬유와 함께 보강된 FRP 보강근 보강 고강도 콘크리트 보의 휨 강도 및 처짐 평가 (Flexural Strength and Deflection Evaluation for FRP Bar Reinforced HSC Beams with Different Types of Reinforcing Bar and Fiber)

  • 양준모;류두열;신현오;윤영수
    • 콘크리트학회논문집
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    • 제23권4호
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    • pp.413-420
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    • 2011
  • 휨 보강근의 종류 및 조합, 섬유 혼입을 변수로 하는 고강도 콘크리트 보의 구조 실험 결과를 균열 모멘트, 극한 모멘트, 처짐 등에 대해 각종 설계기준 및 가이드라인, 여러 연구자들에 의한 예측식과 비교 검토하였다. 섬유를 혼입하지 않은 FRP 보강근 보강 보의 극한 모멘트 이론값은 실험값을 과소평가하였다. 강섬유가 혼입된 FRP 보강근보강보에 대한 ACI 544.4R, Campione의 모델은 섬유 보강 콘크리트의 증가된 극한 압축 변형률을 고려하지 않고 있어 극한 모멘트를 부정확하게 예측하였다. 섬유가 혼입되지 않은 부재에 대해 Bischoff의 처짐 모델은 섬유가 혼입되지 않은 부재들의 사용 하중 하에서의 처짐을 정확하게 예측한 반면, ACI 440 위원회 모델은 사용 하중 하에서의 처짐을 비보수적으로 예측하였다. 이질 보강근이 동시에 적용된 부재에 대해 Bischoff 모델과는 달리 ACI 440 위원회의 처짐 모델은 직접적인 적용이 불가능하기 때문에 ACI 440 위원회 식을 이용하여 이질 보강근이 동시에 적용된 부재의 처짐을 예측하는 방법을 제안하였다. 또한 철근과 FRP 보강근이 동시에 보강된 보에서 철근이 항복한 이후의 처짐을 예측할 수 있는 방법을 제안하였다.

Flexural behavior model for post-tensioned concrete members with unbonded tendons

  • Kim, Kang Su;Lee, Deuck Hang
    • Computers and Concrete
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    • 제10권3호
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    • pp.241-258
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    • 2012
  • The need for long-span members increases gradually in recent years, which makes issues not only on ultimate strength but also on excessive deflection of horizontal members important. In building structures, the post-tension methods with unbonded tendons are often used for long-span members to solve deflection problems. Previous studies on prestressed flexural members with unbonded tendons, however, were mostly focused on the ultimate strength. For this reason, their approaches are either impossible or very difficult to be implemented for serviceability check such as deflection, tendons stress, etc. Therefore, this study proposed a flexural behavior model for post-tensioned members with unbonded tendons that can predict the initial behavior, before and after cracking, service load behavior and ultimate strength. The applicability and accuracy of the proposed model were also verified by comparing with various types of test results including internally and externally post-tensioned members, a wide range of reinforcement ratios and different loading patterns. The comparison showed that the proposed model very accurately estimated both the flexural behavior and strength for these members. Particularly, the proposed model well reflected the effect of various loading patterns, and also provided good estimation on the flexural behavior of excessively reinforced members that could often occur during reinforcing work.

Beam-column behavior of concrete filled steel tubes

  • Campione, G.;Scibilia, N.
    • Steel and Composite Structures
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    • 제2권4호
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    • pp.259-276
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    • 2002
  • In the present investigation the experimental and theoretical flexural and compressive behavior of short tubular steel columns filled with plain concrete and fiber-reinforced concrete (FRC) was examined. For a given length of the members, the effects of different geometry and dimensions of the transverse cross-section (square and circular) were investigated. Constituent materials were characterized through direct tensile tests on steel coupons and through compressive and split tension tests on concrete cylinders. Load-axial shortening and load-deflection curves were recorded for unfilled and composite members. Finally, simplified expressions for the calculus of the load-deflection curves based on the cross-section analysis were given and the ultimate load of short columns was predicted.

On the post-buckling behaviour of plates under stress gradient

  • Bedair, Osama K.
    • Structural Engineering and Mechanics
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    • 제4권4호
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    • pp.397-413
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    • 1996
  • In this paper the elastic post-buckling behaviour of plates under non-uniform compressive edge stress is investigated. The compatibility differential equations is first solved analytically and then an approximate solution of the equilibrium equation is obtained using the Galerkin method. Explicit expressions are derived for the load-deflection, ultimate strength and membrane stress distributions. Analytical effective width formulations, based on the characteristics of the stress field of the buckled plate, are proposed for this general loading condition. The predicted load-deflection expression is compared with independent test results. Results are also presented detailing the load-deflection behaviour and stress distribution for various aspect ratios.

GFRP 보강근을 사용한 콘크리트 보의 휨파괴 거동 (Flexural Behavior of Concrete Beams Reinforced with GFRP Bars)

  • 하상훈;김정규;황금식;어석홍
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 추계 학술발표회 제17권2호
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    • pp.339-342
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    • 2005
  • This paper presents flexural test results of concrete beams reinforced with GFRP and conventional steel reinforcement for comparison. The beams were tested under static loading to investigate the effects of reinforcement ratio and compressive ,strength of concrete on cracking, deflection, ultimate capacity and mode of failure, This study attempts to establish a theoretical basis for the development of simple and rational design guideline. Test results show that ultimate capacity increases as the reinforcement ratio and concrete strength increase. The ultimate capacity increased up to $8\%-25\%$ by using high strength concrete. The deflection at maximum load of GFRP reinforced beams was about three times that of steel reinforced beams. For GFRP-reinforced beams, the ACI code 440 design method resulted in conservative flexural strength -estimates.

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탄소섬유시트로 보강된 RC보의 해석 및 설계 프로그램 개발 (Analysis and Design Programming of RC Beams Strengthened with Carbon Fiber Sheets)

  • 김성도;김성수
    • 한국철도학회논문집
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    • 제7권4호
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    • pp.319-325
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    • 2004
  • In this study, analysis and design programs of bending of RC beams strengthened with fiber sheets are developed by using Visual Basic Language. The program consists two groups, ultimate strength method and nonlinear flexural analysis method. Ultimate strength method regards concrete compressive stress as a rectangular stress block and do not consider tensile stress of concrete and load-deflection curves. On the other hand, nonlinear flexural analysis considers tensile stress of concrete, load-deflection curves, state of stress distribution and failure strain of strengthening material. Also, the analysis method used in this study regards nonlinear flexural stress as compressive stress of concrete. This program can be a good tool for determining the bending strength of strengthened RC beams and estimating the amount of fiber sheets for practical use.

Long-term deflection prediction in steel-concrete composite beams

  • Lou, Tiejiong;Wu, Sishun;Karavasilis, Theodore L.;Chen, Bo
    • Steel and Composite Structures
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    • 제39권1호
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    • pp.21-33
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    • 2021
  • This paper aims to improve the current state-of-the-art in long-term deflection prediction in steel-concrete composite beams. The efficiency of a time-dependent finite element model based on linear creep theory is verified with available experimental data. A parametric numerical study is then carried out, which focuses on the effects of concrete creep and/or shrinkage, ultimate shrinkage strain and reinforcing bars in the slab. The study shows that the long-term deformations in composite beams are dominated by concrete shrinkage and that a higher area of reinforcing bars leads to lower long-term deformations and steel stresses. The AISC model appears to overestimate the shrinkage-induced deflection. A modified ACI equation is proposed to quantify time-dependent deflections in composite beams. In particular, a modified reduction factor reflecting the influence of reinforcing bars and a coefficient reflecting the influence of ultimate shrinkage are introduced in the proposed equation. The long-term deflections predicted by this equation and the results of extensive numerical analyses are found to be in good agreement.

콘크리트 응력-변형률 관계에 기반한 철근콘크리트 부재의 처짐 산정 (Deflection Calculation Based on Stress-Strain Curve for Concrete in RC Members)

  • 최승원;김우
    • 대한토목학회논문집
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    • 제30권4A호
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    • pp.383-389
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    • 2010
  • 현재 우리나라의 콘크리트구조설계기준은 강도설계법에 근간하고 있다. 강도설계법에 의해 휨부재를 설계할 경우, 콘크리트 응력-변형률 관계는 사용하중 상태에서 선형으로 가정하지만 이후 극한한계 상태까지에 대해서는 규정되어 있지 않다. 이로 인해 콘크리트구조설계기준에서는 처짐 및 균열폭 등의 산정에 대해 개별적인 규정을 두고 있다. 그러나 한계상태설계법에 근거한 EC에서는 재료에 대한 응력-변형률 관계를 규정하고 있다. 따라서 재료의 응력-변형률 관계로부터 휨강도 및 처짐 등을 직접 계산할 수 있다. 본 연구에서는 휨부재에 대하여 주어진 재료 모델을 바탕으로 평형방정식과 적합조건식을 적용하여 휨모멘트-곡률 관계를 계산하였다. 이로부터 휨강도 및 처짐을 산정하여 현행 콘크리트구조설계기준에 의한 값과 비교하였다. 해석 결과 재료 모델로부터 휨모멘트-곡률 관계를 통해 산정된 처짐은 실험 결과와도 비교적 잘 일치하고, 항복 이후의 처짐 계산도 가능한 것으로 나타났다.