Statistical Modeling of Coupled Shear-Moment Resistance for RC Bridge Girders

Turan, Osman; Higgins, Christopher; Rosowsky, David V.

doi:10.1061/(asce)1084-0702(2008)13:4(351)

Cited by 10 publications

(5 citation statements)

References 11 publications

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“…As shown in Fig. 3 (d), the flexural failure could be regarded as a ductile failure in most cases [49], however, concrete components with serious steel corrosion can exhibit the brittle failure. By considering the ductility of the main girder, the load distribution mechanism may change before the most vulnerable girder reaches the plastic hinge rotation limit state.…”

Section: Multi-girder Failure Mode By Considering the Plastic Redistr...mentioning

confidence: 99%

Full-scale experimental and numerical investigation on the ductility, plastic redistribution, and redundancy of deteriorated concrete bridges

Wang

Mao

Frangopol

et al. 2021

Engineering Structures

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Section: Multi-girder Failure Mode By Considering the Plastic Redistr...mentioning

confidence: 99%

Full-scale experimental and numerical investigation on the ductility, plastic redistribution, and redundancy of deteriorated concrete bridges

Wang

Mao

Frangopol

et al. 2021

Engineering Structures

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“…For the assessment of bridges, reliability-based systems also have been developed. These methods have led to an improvement of the current bridge rating practices [30][31][32]. A systemslevel safety evaluation combined with nonlinear finite element analysis was developed in…”

Section: Slab Shear Experimentsmentioning

confidence: 99%

“…However, in North America [32], a different safety philosophy is followed, and the uncertainty on the geometric properties is fully modelled.…”

Section: Slab Shear Experimentsmentioning

confidence: 99%

Probabilistic prediction of the failure mode of the Ruytenschildt Bridge

Lantsoght

Veen

Boer

et al. 2016

Engineering Structures

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In the Netherlands, the shear capacity of a large number of existing reinforced concrete solid slab bridges is subject to discussion, as initial assessments indicated that their capacity was insufficient. In certain cases, the deterministic value of the moment capacity is larger than the deterministic value of the shear capacity. However, when the variability of the material properties, and of the capacity models themselves are factored in, a probability of a certain failure mode can be calculated. Here, a method is introduced to calculate the chance that a cross-section fails in shear before it fails in bending. The method that is derived here is applied to the Ruytenschildt Bridge. This case study is a reinforced concrete solid slab bridges that was tested to failure in two spans during the summer of 2014. The relative probability of failure in shear of the bridge was determined. The predictions indicated a smaller probability of a shear failure than of a bending moment failure. In the first tested span, failure was not reached, but indications of flexural distress were observed. In the second span, a flexural failure was achieved, in line with the probabilistic predictions. The presented method can be used in the assessment of existing bridges to determine which failure mode is most probable, taking into account the variability of materials and capacity models. Comments: The reviewer believes that there are still two vital problems in this manuscript: 1) Using only two tests (and one of them did not achieve failure) to prove the proposed method is not sufficient. And if a method is not verified, it could not be used in any way. The authors responded: "The authors do not think comparing the method to laboratory tests would give interesting results, because typical shear tests are overdesigned in bending to make sure that the element fails in shear. Similarly, experiments on beams in bending will be designed so that the shear span is large enough to avoid a shear failure, or beams for flexural tests can be reinforced with stirrups to avoid a shear failure". However, I think that laboratory tests would still give some benefits to the verification of the proposed method. For example, although typical beam or slab shear tests are overdesigned in bending to make sure that the members fail in shear, the ratios of the bending capacity to shear capacity of the test members are different for each test, which means that the predicted probability of shear failure would be different. Furthermore, it could be inferred that if the ratio of the bending capacity to shear capacity is getting smaller, the probability of shear failure is also getting smaller. If the method proposed by the authors could predict this tendency, it could be stated that the method was verified reasonably. Actually, it is the core value of the probabilistic method to obtain a specific failure probability regardless of how a member is designed. I've verified the method with four representative laboratory tests: S1T1, S5T4, S8T1 and S9T1: Case Failure mo...

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“…4 The existing literature on shear capacity of RC beams with stirrups can be broadly classified into three groups: (a) experimental studies conducted to understand the shear behavior 4-34 ; (b) models proposed to determine the shear capacity of RC beams with stirrups 2, [35][36][37][38][39][40][41][42][43] ; and (c) probabilistic studies on shear capacity. [44][45][46][47][48][49][50][51][52][53] The experimental studies were carried out to understand the behavior, crack pattern, failure mode of beams with Discussion on this paper must be submitted within two months of the print publication. The discussion will then be published in print, along with the authors' closure, if any, approximately nine months after the print publication.…”

Section: Introductionmentioning

confidence: 99%

“…This may be due to various unknown factors affecting shear behavior and can be generalized as it is the inherent nature of shear resistance to show large variations. [44][45][46][47][48][49][50][51][52] As a result, the shear capacity should be considered as a random variable, defined by a probability density function (pdf). It is noted that almost every new empirical or mechanics-based model that is proposed is validated using experimental results and COV of modeling error is reported.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic studies on mechanics‐based shear capacity models for reinforced concrete beams with stirrups

Jayakumar

Kanchi

2019

Structural Concrete

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The efficiency of shear capacity models of reinforced concrete beams with stirrups depends on the assumed mechanism and in few cases depends also on critical shear crack angle prediction. In the present study, three mechanics‐based shear capacity models (the limit analysis‐based models presented by Nielsen and Hoang, and the Mari et al. model) are considered covering the range space of shear span to effective depth ratios greater than 2.5. The statistics of modeling error associated with these models are determined using the database created in this study. The database contains limited results of experimental investigations, available in literature, on shear capacity of reinforced concrete beams with stirrups. The randomness in shear capacity is quantified by performing probabilistic analysis of one set of nominally similar beams taken from the database. Based on the shear capacity distribution obtained, characteristic design equations of reinforced concrete beams are proposed. The results of reliability analyses show that the reliability of a beam, for a given mean live to dead load ratio, varies when different shear capacity models are used in the analysis. Thus, calibration studies need to be performed for selecting a model for design.

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Statistical Modeling of Coupled Shear-Moment Resistance for RC Bridge Girders

Cited by 10 publications

References 11 publications

Full-scale experimental and numerical investigation on the ductility, plastic redistribution, and redundancy of deteriorated concrete bridges

Full-scale experimental and numerical investigation on the ductility, plastic redistribution, and redundancy of deteriorated concrete bridges

Probabilistic prediction of the failure mode of the Ruytenschildt Bridge

Probabilistic studies on mechanics‐based shear capacity models for reinforced concrete beams with stirrups

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