Shear Design of Reinforced Concrete Deep Beams: A Numerical Approach

Averbuch, Daniel; Buhan, Patrick de

doi:10.1061/(asce)0733-9445(1999)125:3(309)

Cited by 16 publications

(7 citation statements)

References 19 publications

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“…Some significant regions of the reinforced concrete structure (such as deep beams: see for instance, Chen) may be reinforced by such uniformly distributed bars (case of stirrups or open frames). Provided that the spacing between two neighboring reinforcements is sufficiently small as compared with the size of the reinforced zone, the latter may be replaced by a zone where the homogenized constituent material obeys a macroscopic strength condition (see de Buhan and Taliercio for composite materials, or Michalowski and Zhao for reinforced soils and Averbuch and de Buhan for reinforced concrete).…”

Section: Modeling Strength Properties Of Plain and Reinforced Concretementioning

confidence: 99%

“…On the other hand, assessing the ultimate load‐bearing capacity of constructions incorporating massive three‐dimensional reinforced concrete components, which can no more be modeled as beams or plates, requires a specific analysis, such as the widely acknowledged “strut‐and‐tie” model (see among many other references Marti and Schlaich et al or Siao) which, in some way, can be related to the lower bound static approach of yield design. With a special attention to evaluating the ultimate shear capacity of reinforced concrete deep beams, both the lower and upper bound methods of yield design have been implemented in the context of a finite element formulation with the help of linear programming optimization techniques . In this study, reinforced concrete was described according to a “ mixed modeling ” approach, in which plain concrete was modeled as a two‐dimensional continuous medium under plane stress, while the reinforcement bars were treated as one‐dimensional flexible beams embedded in the concrete material.…”

Section: Introductionmentioning

confidence: 99%

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Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Vincent

Arquier²,

Bleyer

et al. 2018

Num Anal Meth Geomechanics

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Summary The objective of this contribution is to present some new recent developments regarding the evaluation of the ultimate bearing capacity of massive three‐dimensional reinforced concrete structures which cannot be modeled as 1D (beams) or 2D (plates) structural members. The approach is based upon the implementation of the lower bound static approach of yield design through a discretization of the three‐dimensional structure into tetrahedral finite elements, on the one hand, the formulation of the corresponding optimization problem in the context of semi‐definite programming techniques, on the other hand. Another key feature of the method lies in the treatment of the concrete‐embedded reinforcing bars not as individual elements, but by resorting to an extension of the yield design homogenization approach. The whole procedure is first validated on the rather simple illustrative problem of a uniformly loaded simply supported beam, then applied to the design of a bridge pier cap taken as an example of more complex and realistic structure.

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Section: Modeling Strength Properties Of Plain and Reinforced Concretementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Vincent

Arquier²,

Bleyer

et al. 2018

Num Anal Meth Geomechanics

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“…It is generally acknowledged (Chen, 1982;Averbuch & de Buhan, 1999;Bleyer et al, 2015) that the strength of plain concrete under a three-dimensional multi-axial solicitation is adequately described by a "tension cut-off" Mohr-Coulomb criterion of the form:…”

Section: Plain Concrete Strength Condition: the Rankine's Criterionmentioning

confidence: 99%

“…With a special attention to evaluating the ultimate shear capacity of reinforced concrete deep beams, both the lower and upper bound methods of yield design have been implemented in the context of a finite element formulation with the help of linear programming techniques (Averbuch & de Buhan, 1999).…”

Section: Introductionmentioning

confidence: 99%

Ultimate limit state design of three-dimensional reinforced concrete structures: A numerical approach

Vincent¹,

Arquier²,

Bleyer³

et al. 2018

Computational Modelling of Concrete Structures

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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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“…The shear failure mechanism of RC deep beams differs from that of ordinary beams and several studies thus far have investigated the shear failure mechanism and shear strength of deep beams (Zararis 2003;Yang et al 2003;Ashour 2000;Tan et al 1999;Sanad et al 2001;Salamy et al 2005;Tang et al 2004;Mau et al 1989;Ashour et al 2003;Rogowsky et al 1986;Smith et al 1982;Wang et al 1993;Averbuch et al 1999). In deep beams, a considerable amount of the load is carried by compression struts and the strain distribution in the member is considered as non-linear (MacGregor 1997).…”

Section: Introductionmentioning

confidence: 99%

Effect of Stirrups on the Shear Failure Mechanism of Deep Beams

Gedik

Nakamura

Yamamoto

et al. 2012

ACT

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The purpose of this study is to clarify the effect of stirrups in deep beams by investigating the shear failure mechanism analytically by using the 3-D Rigid-Body-Spring Model analytical tool. The investigation of the analytical results of the internal stress state and 3-D deformations of deep beams were the key objectives of this study. Firstly, the applicability of the analytical tool on deep beams was confirmed by comparison of analytical and experimental results. Then, the stirrup contribution to load carrying capacity of deep beams was investigated and the shear failure mechanism based on the B and D region concept was clarified analytically. To achieve this, analytical results such as stress distribution, 3-D deformations, crack patterns and strain of stirrups were investigated. Three types of stirrup effect were observed in deep beams. In the a/d= 0.5 case, the peak load increase due to the confinement effect of stirrups. In the a/d=1.0 case, the stirrup contributes to the strut action that leads to an increase in load. In the case of a/d < 1.0, the D region is dominant. On the other hand, the peak load increases significantly with increases of stirrup ratio in the case of a/d > 1.5, in which the truss analogy is dominant rather than the strut action.

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Shear Design of Reinforced Concrete Deep Beams: A Numerical Approach

Cited by 16 publications

References 19 publications

Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Ultimate limit state design of three-dimensional reinforced concrete structures: A numerical approach

Effect of Stirrups on the Shear Failure Mechanism of Deep Beams

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