Stress-Strain Relations for Cracked Tensile Concrete from RC Beam Tests

Kaklauskas, Gintaris; Ghaboussi, Jamshid

doi:10.1061/(asce)0733-9445(2001)127:1(64)

Cited by 117 publications

(55 citation statements)

References 10 publications

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“…The model will enable deflection checking in the design stage by simple numerical methods, and the deflection checking would deem to satisfy the codified requirements. The inverse technique for deformation analysis developed by Kaklauskas and Ghaboussi (2001) and subsequently modified by Gribniak (2009) and is employed for derivation of tension-stiffening relationships from the moment-curvature diagrams calculated based on GB 50010-2010 formulations. To confirm the applicability of the proposed model, it is adopted in structural analysis of concrete beams with the use of the nonlinear finite element software ATENA.…”

Section: Introductionmentioning

confidence: 99%

Generalised tension-stiffening relationship conforming to Chinese Design Code GB 50010-2010

Kaklauskas¹,

Gribniak²,

Ng³

et al. 2015

Proceedings of the Second International Conference on Performance-Based and Life-Cycle Structural Engineering (PLSE 2015)

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A generalised stress-strain tension-stiffening relationship conforming to the Chinese Code for Design of Concrete Structures GB 50010-2010 is proposed. Based on the provisions in GB 50010-2010 for rigidity and curvature calculations of reinforced concrete flexural members, tension-stiffening relationships were derived from moment-curvature relations by means of the inverse technique for deformation analysis. A parameterized stress block for tension-stiffening was suggested. The proposed tension-stiffening model was applied to nonlinear finite element analysis of reinforced concrete beams. Good agreement between the analysis results based on the proposed model and those based on the codified formulas in GB 50010-2010 was achieved. The proposed model will be able to serve as a design aid for serviceability evaluation of concrete beams in general.

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Section: Introductionmentioning

confidence: 99%

Generalised tension-stiffening relationship conforming to Chinese Design Code GB 50010-2010

Kaklauskas¹,

Gribniak²,

Ng³

et al. 2015

Proceedings of the Second International Conference on Performance-Based and Life-Cycle Structural Engineering (PLSE 2015)

Self Cite

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“…This is stated in a number of works Goto (1971), Kaklauskas and Ghaboussi (2001), Khalfallah (2008). Tension stiffening under cyclic loading is stated in (Yankelevsky et al 2008;Bischoff 2003;Palermo and Vecchio 2003).…”

Section: Introductionmentioning

confidence: 99%

On the Physically Non‐linear Analysis of Cyclic Loaded Reinforced Concrete Cross‐sections With Mathematical Optimisation

Raue

Timmler

Garke

2009

Journal of Civil Engineering and Management

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Abstract. In the paper, experimental results of tension member tests are used as a basis from which to develop an extended tension stiffening model for reinforced concrete, with emphasis on the specific concrete damage and the developments of residual deformations depending on the structural loading. Two characteristics are contained in the proposed model: one describes the residual deformation behaviour along the reinforcement accounting for the cracks that cannot be closed completely, while the other describes the degradation of the concrete stiffness. Within context of non-linear analysis, the model is incorporated into an analytical approach, based on the LAGRANGE principle of minimum of total potential energy. The mechanical problem is solved with the application of the mathematical optimisation, using energy principles formulated as a kinematic formulation and transforming them into non-linear optimisation problems. It was demonstrated, that this approach is eminently suitable for analysing pre-damaged or pre-loaded reinforced concrete crosssections under cyclic loading.

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“…There are several studies about stress-strain relations in RC beams (Careira and Chu, 1986;Williams, 1986;Prakhya and Morley, 1990;Kaklauskas et al, 1997;Kaklauskas and Ghaboussi, 2001). This study, however, aims to develop a method to calculate longitudinal reinforcing in concrete beams (whatever their sections), taking into account the resistant contribution of each reinforcement, regardless of its distribution or position.…”

Section: Introductionmentioning

confidence: 99%

Dimensioning of longitudinal reinforcements in concrete beams with a non-rectangular section and variable height

Huedo

Martinez

Montero

2005

Span. j. agric. res.

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Lately, structural typologies of agricultural infrastructures have undergone significant changes. These have been especially important in the case of farm buildings where reinforced concrete structures are the most commonly used. In order to make precast concrete items which are interesting because of their cost, it is necessary to optimize their design and implement accurate calculation procedures. This paper presents a methodology to calculate longitudinal reinforcements in reinforced concrete (RC) beams with non-rectangular sections and a variable height along the main direction of the beam. This method has been developed taking into account the interaction diagrams of the different sections in which the beam has been previously split. Checks included considering the contribution of all the reinforcements in a section, including the support reinforcements. For each section, the different combinations of resistant axial force and bending moment were estimated, i.e. their interaction diagram was drawn. Once the axial force of the studied beam was known, the bending moment of each section was calculated. These values were then integrated for the whole beam and the maximum moment diagram was represented. By repeating the whole process for different reinforcements, the optimal reinforcement could be determined for each loading situation in the beam. A software tool has been developed so this methodology can be easily performed and design of the RC beams optimized.Additional key words: building, interaction diagram, precast reinforced concrete. Resumen Dimensionamiento de las armaduras longitudinales en vigas de hormigón con sección no rectangular y canto variableEn los últimos años las tipologías estructurales de las infraestructuras agrarias están sufriendo importantes cambios, especialmente destacables en el caso de los alojamientos ganaderos, en los que cada vez más predominan las estructuras prefabricadas de hormigón armado. Para conseguir productos prefabricados de hormigón que por su coste sean interesantes, es necesario optimizar su diseño y hay que aplicar procedimientos de cálculo que sean precisos. Este trabajo presenta una metodología para calcular las armaduras longitudinales en vigas de hormigón armado, que tengan una sección que pueda ser diferente de la rectangular, y que además presenten una altura variable a lo largo de la directriz de la pieza. Este método es desarrollado a partir de los diagramas de interacción de las distintas secciones en las que previamente se discretiza la viga. Se realizó la comprobación teniendo en cuenta la aportación de todas las armaduras que intervienen en la sección, incluidas las armaduras de piel, determinando para cada una de las secciones las diferentes combinaciones de esfuerzo axial y momento flector que resistiría la sección, es decir, dibujando su diagrama de interacción. Conociendo para la viga en estudio el esfuerzo axial al que estaría sometida, se obtuvo el momento flector de cada sección, integrándolos para toda la viga y representando de esta man...

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Stress-Strain Relations for Cracked Tensile Concrete from RC Beam Tests

Cited by 117 publications

References 10 publications

Generalised tension-stiffening relationship conforming to Chinese Design Code GB 50010-2010

Generalised tension-stiffening relationship conforming to Chinese Design Code GB 50010-2010

On the Physically Non‐linear Analysis of Cyclic Loaded Reinforced Concrete Cross‐sections With Mathematical Optimisation

Dimensioning of longitudinal reinforcements in concrete beams with a non-rectangular section and variable height

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