Moment curvature relationship of reinforced concrete sections under combined bending and normal force

Espion, Bernard; Halleux, Pierre

doi:10.1007/bf02472160

Cited by 16 publications

(14 citation statements)

References 3 publications

(4 reference statements)

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“…It was found that the proposed tensile stress block may be fine-tuned to improve its accuracy and the two tensile stress blocks proposed for different types of loading may be unified to become one tensile stress block for any type of loading. The fine-tuned and unified tensile stress block was applied to analyse beams tested by Clark and Speirs (1978) and Espion and Halleux (1988). The good agreement between the theoretical and experimental results verified the applicability and accuracy of the fine-tuned and unified tensile stress block and member analysis method.…”

Section: Discussionsupporting

confidence: 62%

“…To provide further evidence of the applicability of the finetuned and unified tensile stress block, the beams tested by Espion and Halleux (1988) were analysed and the theoretical moment-curvature and load-deflection curves so obtained compared with experimental results. Beams N0 and N2, both having a uniform cross-section of 150 mm breadth by 280 mm depth, were selected for the analysis.…”

Section: Comparison With Experimental Results Of Espion and Halleux (mentioning

confidence: 99%

“…Material properties and details of beams tested byEspion and Halleux (1988) Structures and Buildings 163 Issue SB1 Tension stiffening in concrete beams. Part 2: member analysis Lam et al…”

mentioning

confidence: 99%

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Tension stiffening in concrete beams. Part 2: member analysis

Lam

Kwan

2010

Proceedings of the Institution of Civil Engineers - Structures

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Based on finite-element analysis of cracked reinforced concrete beams, a tensile stress block was proposed in part 1 of this paper. Here, the proposed tensile stress block is contrasted with existing ones developed by others to provide an overall review. The proposed tensile stress block is then applied to a section analysis of beams to evaluate the moment-curvature curves of typical beam sections. The section analysis results are compared with available experimental results and empirical curves given in design codes to demonstrate the validity of the tensile stress block. Subsequently, the proposed tensile stress block is applied to member analysis by first dividing the beam member into short segments and then applying section analysis to each segment to evaluate the loaddeflection curves of typical beam members. The member analysis results are checked against finite-element analysis results and available experimental results to fine-tune the tensile stress block and verify the accuracy of the finetuned tensile stress block. Such member analysis could be extended to multi-level analysis of frame structures for their full-range load-deflection behaviour at the elastic, post-crack and post-peak states.

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Section: Discussionsupporting

confidence: 62%

Section: Comparison With Experimental Results Of Espion and Halleux (mentioning

confidence: 99%

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Tension stiffening in concrete beams. Part 2: member analysis

Lam

Kwan

2010

Proceedings of the Institution of Civil Engineers - Structures

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“…Rasheed and Dinno model requires satisfying a normalized convergence criterion for the moment of the axial rigidity about the inelastic centroid, which is very sensitive criterion and can be satisfied only for very limited cases. (Bentz 2000), Rasheed and Dinno (1994a), and Espion and Halleux (1988).…”

Section: Validation Of the Proposed Modelmentioning

confidence: 97%

“…The experimental load-deflection curve of this beam is originally presented by Espion and Halleux (1988). A numerical simulation based on closed form derivation of the beam nonlinear stiffness from the flexibility matrix is proposed by Rasheed and Dinno (1994a).…”

Section: Validation Of the Proposed Modelmentioning

confidence: 99%

Staged Failure Mechanism of Aged RC Beam-Columns Subjected to Corrosion Loads Using Simplified Nonlinear Finite Element Model

Mohammed

Almansour

2014

Structures Congress 2014

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An analysis approach to simulate the staged failure mechanism of corrosion affected beam-column subjected to ultimate or seismic load using a simplified non-linear finite element model is proposed. The instantaneous axial and flexural rigidities at the sectional level are transferred to the element level establishing the instantaneous the structure stiffness at each load step. The approach efficiency and accuracy are verified through comparison with available experimental and analytical results. The proposed approach is numerically stable in all studied cases. It is found that the staged failure mechanism of the columns subjected to quasi-static load and cyclic load up to failure can be simulated with high accuracy. It is also found that corrosioninduced damage results in a large drop of the column load and displacement capacities, and a large shrinkage in the hysteretic relationship, which indicates similar drop in the energy absorption capacities of the beam-columns. INTODUCTIONDevelopment of accurate quantitative assessment/evaluation tools that can lead to save fatalities (due to the collapse of aging bridges) and reduce the management cost for North America's aging concrete infrastructure is of a major importance to infrastructures owners, engineers, and researchers. It is challenging though to simplify the mechanical behavior of damaged structures under extreme loading conditions. Beam-columns are identified as the most safety critical elements of the bridge structures, and hence it is the focus of this paper.Beam-columns of aging infrastructure are subjected to service loads, and they are usually affected by progressing reinforcement corrosion that results in staged reduction in their structural capacity. If an over loading situation is expected over the lifetime (for example an ultimate load), then the collapse of the beam-column is more probable. Experimental investigations show that reinforced concrete columns (new or affected by reinforcement corrosion) loaded to failure by concentric or eccentric loads are losing their strength in steps or stages. Each major sign of distress is related to major changes in the beam-column cross section, cracking and spalling, declining of reinforcement cross-sectional area and ductility, reinforcement fracture or bucking, and complete loss of confinement of the core concrete. On the other hand, if the 1036 Structures Congress 2014

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Tension stiffening approach for deformation assessment of flexural reinforced concrete members under compressive axial load

Gribniak

Jakubovskis

et al. 2019

Structural Concrete

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The deformation characteristics of cracked reinforced concrete beams are largely dependent on the tension stiffening effect. As one of the serviceability analysis approaches, the employment of a concrete tensile stress block that reflects the flexural tension stiffening behavior is useful for evaluation of beam deflections. In many practical applications, however, beams have to withstand a small degree of axial compression. There has been little research on axial load effects on tension stiffening, and tensile stress block for beams subject to compressive axial load has not been developed. In this study, finite element method is employed to analyze beams under different levels of compressive axial load. The numerical results reveal that the tensile stress block is considerably influenced by the presence of axial load. Using the tension stress fields obtained, values of stress block parameters under different levels of axial load are determined. Adequacy of the proposed model was verified using the test data reported in the literature.

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Moment curvature relationship of reinforced concrete sections under combined bending and normal force

Cited by 16 publications

References 3 publications

Tension stiffening in concrete beams. Part 2: member analysis

Tension stiffening in concrete beams. Part 2: member analysis

Staged Failure Mechanism of Aged RC Beam-Columns Subjected to Corrosion Loads Using Simplified Nonlinear Finite Element Model

Tension stiffening approach for deformation assessment of flexural reinforced concrete members under compressive axial load

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