• Title/Summary/Keyword: Shear span to depth ratio

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Assessment of geometric nonlinear behavior in composite beams with partial shear interaction

  • Jie Wen;Abdul Hamid Sheikh;Md. Alhaz Uddin;A.B.M. Saiful Islam;Md. Arifuzzaman
    • Steel and Composite Structures
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    • v.48 no.6
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    • pp.693-708
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    • 2023
  • Composite beams, two materials joined together, have become more common in structural engineering over the past few decades because they have better mechanical and structural properties. The shear connectors between their layers exhibit some deformability with finite stiffness, resulting in interfacial shear slip, a phenomenon known as partial shear interaction. Such a partial shear interaction contributes significantly to the composite beams. To provide precise predictions of the geometric nonlinear behavior shown by two-layered composite beams with interfacial shear slips, a robust analytical model has been developed that incorporates the influence of significant displacements. The application of a higher-order beam theory to the two material layers results in a third-order adjustment of the longitudinal displacement within each layer along the depth of the beam. Deformable shear connectors are employed at the interface to represent the partial shear interaction by means of a sequence of shear connectors that are evenly distributed throughout the beam's length. The Von-Karman theory of large deflection incorporates geometric nonlinearity into the governing equations, which are then solved analytically using the Navier solution technique. Suggested model exhibits a notable level of agreement with published findings, and numerical outputs derived from finite element (FE) model. Large displacement substantially reduces deflection, interfacial shear slip, and stress values. Geometric nonlinearity has a significant impact on beams with larger span-to-depth ratio and a greater degree of shear connector deformability. Potentially, the analytical model can accurately predict the geometric nonlinear responses of composite beams. The model has a high degree of generality, which might aid in the numerical solution of composite beams with varying configurations and shear criteria.

Nonlinear behavior of deep reinforced concrete coupling beams

  • Zhao, Z.Z.;Kwan, A.K.H.
    • Structural Engineering and Mechanics
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    • v.15 no.2
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    • pp.181-198
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    • 2003
  • Six large scale models of conventionally reinforced concrete coupling beams with span/depth ratios ranging from 1.17 to 2.00 were tested under monotonically applied shear loads to study their nonlinear behavior using a newly developed test method that maintained equal rotations at the two ends of the coupling beam specimen and allowed for local deformations at the beam-wall joints. By conducting the tests under displacement control, the post-peak behavior and complete load-deflection curves of the coupling beams were obtained for investigation. It was found that after the appearance of flexural and shear cracks, a deep coupling beam would gradually transform itself from an ordinary beam to a truss composed of diagonal concrete struts and longitudinal and transverse steel reinforcement bars. Moreover, in a deep coupling beam, the local deformations at the beam-wall joints could contribute significantly (up to the order of 50%) to the total deflection of the coupling beam, especially at the post-peak stage. Finally, although a coupling beam failing in shear would have a relatively low ductility ratio of only 5 or even lower, a coupling beam failing in flexure could have a relatively high ductility ratio of 10 or higher.

A Study on Nonlinear Behavior of RC Structure using Different Crack Models (균열모델을 사용한 철근콘크리트 구조물의 비선형거동 해석에 관한 연구)

  • Kim, Sung-Chil;Ahn, Young-Ki;Park, Sung-Yong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.4
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    • pp.139-146
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    • 2002
  • A analysis of crack behavior in RC member was performed by nonlinear finite element method. Two crack models were used in F.E.M.(finite element method): one was FCM (the fixed crack model) and the other was RCM (the rotated crack model). Based on parametric study, the ratio of shear steel, strength of concrete, and a/d(shear span/effective depth) were compared with test results of references. According to the test results, when the member behavior was affected by the shear or diagonal tension, RCM was reasonable. However, when the behavior was affected by the flexibility, FCM was more appropriate. In addition, each crack model behavior for the change of shear steel ratio, the increase of strain energy was constant in FCM, but it was different in RCM because of diagonal crack distribution and crack width. Since the strength of concrete is affected not only by shear but also by flexural strength, each crack model behavior yields similar results.

An Experimental Study on Shear Behavior of Polymer-Steel Fibrous High Strength Concrete Beams (폴리머-강섬유를 혼입한 고강도 콘크리트보의 전단거동에 관한 실험적 연구)

  • 곽계환;조선정;김원태;조한용
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.10a
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    • pp.601-608
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    • 2000
  • Steel fiber and Polymer are used widely for the reinforcement material of RC structures because of its excellence of durability, serviceability as well as mechanical properties. Polymer-Steel fibrous high strength concrete beam's input ratio are 1.0%. The shear span-to-depth ratio are 1.5, 2.8 and 3.6, compressive strength of specimens 320kg/㎠, 436kgf/㎠ and 520kgf/㎠ in 28 days. The static test was carried out to measure the ultimate load, the initial load of flexural crack and of diagonal crack, from which crack patte군 and fracture modes are earned. Also, stress-strain, load-strain and load-deflection are examined during the test cracks(shear crack, flexural crack, and diagonal tension crack), when the load values are sketched according to the growth of crack. Result are as follows; (1) The failure modes of the specimens increase in rigidity and durability in accordance with the increase of mixing steel fiber and polymer. (2) The load of initial crack was the same as the theory of shear-crack strength (3) Polymer-Steel fibrous high strength concrete beams have increased the deflection and strain at failure load, improving the brittleness of the high strength concrete. (4) In this result of study, an additional study need to make a need formular because the study is different from ACI formular and Zsutty formular.

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Shear Strength Prediction of Reinforced Concrete Members Subjected In Axial force using Transformation Angle Truss Model (변환각 트러스 모델에 의한 축력을 받는 철근콘크리트 부재의 전단강도 예측)

  • Kim Sang-Woo;Lee Jung-Yoon
    • Journal of the Korea Concrete Institute
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    • v.16 no.6 s.84
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    • pp.813-822
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    • 2004
  • For the prediction of the shear strength of reinforced concrete members subjected to axial force, this paper presents a truss model, Transformation Angle Truss Model (TATM), that can predict the shear behavior of reinforced concrete members subjected to combined actions of shear, axial force, and bending moment. In TATM, as axial compressive stress increases, crack angle decreases and concrete contribution due to the shear resistance of concrete along the crack direction increases in order to consider the effect of the axial force. To verify if the prediction results of TATM have an accuracy and reliability for the shear strength of reinforced concrete members subjected to axial forces, the shear test results of a total of 67 RC members subjected to axial force reported in the technical literatures were collected and compared with TATM and existing analytical models(MCFT RA-STM and FA-STM). As a result of comparing with experimental and theoretical results, the test results was better predicted by TATM with 0.94 in average value of $\tau_{test}/\tau_{ana}$. and $11.2\%$ in coefficient of variation than other truss models. And theoretical results obtained from TATM were not effect by steel capacity ratio, axial force, shear span-to-depth ratio, and compressive steel ratio.

Shear Mechanism of Steel-Fiber Reinforced High Strength Concrete Beams without Sheat Confinement (전단 보강이 없는 강섬유보강 고강도 철근 콘크리트보의 전단 거동에 관한 연구)

  • 오정근;이광수;신성우
    • Magazine of the Korea Concrete Institute
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    • v.3 no.3
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    • pp.141-148
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    • 1991
  • Investigations on the behavior of steel fiber reinforced high strength concrete beams subjected to predominant shear are accomplished to determine their diagonal shear strength including ultimate shear strength. The par¬ameters varied were the fiber volume fraction(Vf) of the steel-fibers and shear span to depth ratio(a/d). The test result show that diagonal shear strength and ultimate shear strength are increased significantly due to crack arrest mechamsm. Predictive equations are suggested for evaluating the diagonal cracking strength and ultimate shear strength of the fiber reinforced high strength concrete beams.

Shear lag effect of varied sectional cantilever box girder with multiple cells

  • Guo, Zengwei;Liu, Xinliang;Li, Longjing
    • Structural Engineering and Mechanics
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    • v.84 no.3
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    • pp.295-310
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    • 2022
  • This paper proposes a modified bar simulation method for analyzing the shear lag effect of variable sectional box girder with multiple cells. This theoretical method formulates the equivalent area of stiffening bars and the allocation proportion of shear flows in webs, and re-derives the governing differential equations of bar simulation method. The feasibility of the proposed method is verified by the model test and finite element (FE) analysis of a simply supported multi-cell box girder with constant depth. Subsequently, parametric analysis is conducted to explore the mechanism of shear lag effect of varied sectional cantilever box girder with multiple cells. Results show that the shear lag behavior of variable box-section cantilever box girder is weaker than that of box girder with constant section. It is recommended to make the gradient of shear flow in the web with respect to span length vary as smoothly as possible for eliminating the shear lag effect of box girder. An effective countermeasure for diminishing shear lag effect is to increase the number of box chambers or change the variation manner of bridge depth. The shear lag effect of varied sectional cantilever box girder will get more server when the length of central flanges is shorter than 0.26 or longer than 0.36 times of total width of top flange, as well as the cantilever length exceeds 0.29 times of total length of box's flange. Therefore, the distance between central webs can adjust the shear lag effect of box girder. Especially, the width ratio of cantilever plate with respect to total length of top flange is proposed to be no more 1/3.

Size Effect on Flexural Stress-Strain Relationship of Reinforced-Concrete Beams (철근콘크리트 보의 휨압축강도 및 변형률에 대한 크기효과)

  • 김민수;김진근;김장호
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.911-916
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    • 2002
  • It is important to consider the effect of depth when estimating the ultimate strength of a concrete flexural member because the strength always decreases with an increase of member size. In this study, the size effect of reinforced concrete beam was experimentally investigated. For this purpose, a series of beam specimens subjected to 2-point bending load were tested. More specifically, three different depth (d=15, 30, and 60 cm) of reinforced concrete beams were tested to investigate the size effect. The shear-span to depth ratio (a/d=3) and thickness (20 cm) of the specimens were kept constant where the size effect in out-of-plan direction is not considered. The test results are fitted using least square method (LSM) to obtain parameters for modified size effect law (MSEL). The analysis results indicate that the flexural compression strength and ultimate strain decreases as the specimen size increases. Finally, more general parameters for MSEL are suggested.

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Structural Performance Evaluation on Flexural and Shear Capacity for Weight Reducing Steel Wire-Integrated Void Deck Plate Slab (자중저감 철선일체형 중공 데크플레이트 슬래브의 휨 및 전단내력에 대한 구조성능평가)

  • Kim, Sang-Seup;Ryu, Deog-Su;Boo, Yoon-Seob
    • Journal of Korean Society of Steel Construction
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    • v.24 no.4
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    • pp.411-422
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    • 2012
  • The purpose of this study is to evaluate the flexural and shear capacity of steel wire-integrated void deck plate slabs. In order to evaluate flexural and shear capacity, we make five 150mmspecimens and three 200mmspecimens by slab depth as main variable. Each series of specimen is comprised of an existing steel wire-integrated deck-plate slab and two specimens using topping depth as variable. From the series of experiments, steel wire-integrated void deck plate slabs has any decline in flexural and shear performance. Therefore, a void-deck-plate slab which inserts Omega-steel plate showed reducing a using concrete-volume and had flexural and shear capacity following existing steel wire-integrated deck-plate.

Shear behaviour of RC beams retrofitted using UHPFRC panels epoxied to the sides

  • Al-Osta, Mohammed A.
    • Computers and Concrete
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    • v.24 no.1
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    • pp.37-49
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    • 2019
  • In this study, the shear behaviour of reinforced concrete (RC) beams that were retrofitted using precast panels of ultra-high performance fiber reinforced concrete (UHPFRC) is presented. The precast UHPFRC panels were glued to the side surfaces of RC beams using epoxy adhesive in two different configurations: (i) retrofitting two sides, and (ii) retrofitting three sides. Experimental tests on the adhesive bond were conducted to estimate the bond capacity between the UHPFRC and normal concrete. All the specimens were tested in shear under varying levels of shear span-to-depth ratio (a/d=1.0; 1.5). For both types of configuration, the retrofitted specimens exhibited a significant improvement in terms of stiffness, load carrying capacity and failure mode. In addition, the UHPFRC retrofitting panels glued in three-sides shifted the failure from brittle shear to a more ductile flexural failure with enhancing the shear capacity up to 70%. This was more noticeable in beams that were tested with a/d=1.5. An approach for the approximation of the failure capacity of the retrofitted RC beams was evolved using a multi-level regression of the data obtained from the experimental work. The predicted values of strength have been validated by comparing them with the available test data. In addition, a 3-D finite element model (FEM) was developed to estimate the failure load and overall behaviour of the retrofitted beams. The FEM of the retrofitted beams was conducted using the non-linear finite element software ABAQUS.