An analytical model for crack spacing of thick reinforced concrete plates

Dawood, Nabil; Marzouk, H.

doi:10.1016/j.engstruct.2009.10.009

Cited by 17 publications

(15 citation statements)

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“…Moreover, the average crack spacing of overlaystrengthened beams plays an important role in transferred shear stress along overlay-substrate interface and normal stress generated in the substrate concrete in case when the premature debonding failure is investigated (Zhang et al 2010;Wang and Ling 1998;Raoof and Hassanen 2000). It is, therefore, necessary to predict the cracking behavior of overlay-strengthened RC beam.Despite the fact that many design models have been provided by different structural codes or individual researchers with respect to average crack spacing of RC members with single or multilayered-reinforcement (JSCE 2007; EC2 2004; CSA 2004; NS 1992; CEB-FIP 1990;Broms 1965;Albandar and Mills 1974;Bặzant and Oh 1983;Rizk and Marzouk 2010;Dawood and Marzouk 2010;Marzouk et al 2010;Rizkalla et al 1983;Rizkalla and Hwang 1984), which are similar to overlay-strengthened RC member with reinforcement layers in the substrate and overlay, their applicability for overlay-strengthened beams has not yet been investigated.The main objective of this study is to develop a rational methodology for predicting the average crack spacing of overlay-strengthened RC beam. Firstly, the predicted average crack spacing based on existing models from several design specifications is compared with that from experimental database.…”

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confidence: 99%

Average Crack Spacing of Overlay-Strengthened RC Beams

Zhang

Ueda

Furuuchi

2011

J. Mater. Civ. Eng.

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Abstract:The research is focused on evaluating the average crack spacing of overlay-strengthened reinforced concrete (RC) beams. The current equations in different structural codes for predicting the average crack spacing of RC beam with multilayered-reinforcing bars is proved to be inapplicable for overlay-strengthened RC beam, although these two kinds of beams are both with reinforcement in multi-layers. Therefore, a simple, practical and new analytical model that is capable of predicting the average crack spacing of overlay-strengthened beams is developed. An overlay-strengthened beam element is analyzed based on equilibrium and compatibility equations to formulate the average stresses of concrete, overlay and tension reinforcement. A series of verification comparisons with the experimental investigations, which involved various types of beam elements, are performed to verify the validity and reliability of the model. The proposed model performs satisfactorily with respect to measured response from the experimental database.Keyword: crack spacing; overlay; strengthening; interface; bond; multilayered-reinforcement BackgroundOverlaying is considered as a major retrofitting method for flexural and fatigue strengthening or retrofitting of concrete flexural members. As illustrated in Fig Cracks in overlay-strengthened RC structures may be expected because of the relatively low tensile strength of concrete and overlay materials and the use of high strength reinforcement in substrate and overlay. Cracking in overlay-strengthened RC structures has a major influence on structural performance, including tensile, bending and shear stiffness, energy absorption capacity, ductility and corrosion resistance of reinforcement. Moreover, the average crack spacing of overlaystrengthened beams plays an important role in transferred shear stress along overlay-substrate interface and normal stress generated in the substrate concrete in case when the premature debonding failure is investigated (Zhang et al. 2010;Wang and Ling 1998;Raoof and Hassanen 2000). It is, therefore, necessary to predict the cracking behavior of overlay-strengthened RC beam.Despite the fact that many design models have been provided by different structural codes or individual researchers with respect to average crack spacing of RC members with single or multilayered-reinforcement (JSCE 2007; EC2 2004; CSA 2004; NS 1992; CEB-FIP 1990;Broms 1965;Albandar and Mills 1974;Bặzant and Oh 1983;Rizk and Marzouk 2010;Dawood and Marzouk 2010;Marzouk et al. 2010;Rizkalla et al. 1983;Rizkalla and Hwang 1984), which are similar to overlay-strengthened RC member with reinforcement layers in the substrate and overlay, their applicability for overlay-strengthened beams has not yet been investigated.The main objective of this study is to develop a rational methodology for predicting the average crack spacing of overlay-strengthened RC beam. Firstly, the predicted average crack spacing based on existing models from several design specifications is compared with that from expe...

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confidence: 99%

Average Crack Spacing of Overlay-Strengthened RC Beams

Zhang

Ueda

Furuuchi

2011

J. Mater. Civ. Eng.

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“…The focus of their tests was on the crack pattern and the mean stress/strain response of the tested panels. Similar tests were performed by Dawood and Marzouk (2010). The focus in their tests was on the crack spacing and the crack width.…”

Section: Two-way Crackingmentioning

confidence: 97%

Analytical and experimental investigation of cracking in two-way reinforced concrete panels

Shalmani¹

2021

Preprint

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In this study, the cracking behaviour of RC panels under a two-way loading condition is investigated analytically and experimentally. A modified FE bond layer model is introduced and shown to be much simpler to define, and yet, more accurate than perfect bond or link element bond models. FE analysis suggests a bi-linear curve for approximating the distribution of bond stresses at stabilized cracking. Several FE parametric studies are performed on a one-way tension member to obtain peak shear bond stresses, concrete tensile stresses due to internal restrained shrinkage, splitting tensile stresses caused by radial bond stresses, and the reduction in bond strength caused by longitudinal splitting cracks. The FE analysis of flexural beams suggests a new factor for estimation of the depth of effective tension area, which is defined through FE parametric study. In the experimental phase, three medium-scale RC panels are subjected to direct tension in one direction and bending in the perpendicular direction. The collected data consist of applied loads, steel and concrete stresses, crack propagation sequence, crack pattern, crack width, total elongation, and leakage observations. The crack pattern is mainly influenced by the shape of reinforcement mesh due to the presence of splitting tensile stresses. The formation of diagonal cracks depends on principal stresses that can be influenced by reinforcement ratio, ratio of loads in two directions, and clear concrete cover to bar diameter ratio. The bond strength is significantly weakened by the formation of orthogonal cracks along reinforcing bars. The crack width is increased under repeated loading especially at the first cycle. Residual crack widths remain in place even after complete unloading. Observations indicate that the water leakage is influenced by the crack width gradient. Finally, it is shown that one-way crack prediction models underestimate the crack width of two-way panels. A new set of analytical equations is developed for the prediction of cracking load, minimum and maximum spacing of cracks, and maximum crack width in a two-way panel. These equations are shown to predict the cracking behaviour of the tested panels more accurately than any other previously proposed model.

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“…A crack spacing model was developed for thick axially loaded plates (Dawood and Marzouk 2010a, 2010b, 2010c, which considered the equilibrium and compatibility equations of reinforced concrete elements. The analytical model for maximum crack spacing was expressed as follows:…”

Section: Crack Width Variationmentioning

confidence: 99%

“…A good estimate of the maximum crack spacing was obtained by Dawood and Marzouk (2010a, 2010b, 2010c, where the influence of the main parameters affecting the cracking behavior of reinforced concrete structures, such as the concrete cover, longitudinal bar diameter f 1 , and spacing S b are taken into consideration. Figure 11a shows the effective concrete area surrounding the reinforcement in case of (h t ≤ 4C).…”

Section: ½17mentioning

confidence: 99%

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Crack width model for thick reinforced concrete plates subjected to in-plane forces

DawoodN.¹,

MarzoukH.²

2011

Can. J. Civ. Eng.

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An extensive experimental program is conducted in the present study to investigate the cracking behavior of two normal strength concrete plates and thirteen high strength concrete plates. The results raise questions about the applicability of the present code approaches to predict the crack width of thick concrete plates used for offshore structures and containment structures for nuclear power plants. The main objective is to provide a simple equation for crack width prediction of a concrete plate to ensure the control of crack openings in designing thick high strength reinforced concrete structures. The model predictions are compared with the results of the tests of reinforced concrete panels subjected to in-plane tension forces along with the code approaches for predicting the crack width.Résumé : Un vaste programme expérimental est réalisé dans la présente étude afin d'examiner le comportement en fissuration de deux plaques de béton à résistance normale et de treize plaques de béton à haute résistance. Les résultats soulèvent des questions quant à l'applicabilité des approches du code actuel pour prédire la largeur des fissures dans des plaques de béton épaisses utilisées dans les constructions en mer et les structures de confinement des centrales nucléaires. L'objectif principal est de fournir une équation simple pour prédire la largeur des fissures d'une plaque de béton afin d'assurer le contrôle des ouvertures de fissures lors de la conception de structures épaisses en béton armé à haute résistance. Les prévi-sions du modèle sont comparées aux résultats des essais de panneaux en béton armé soumis à des forces de tension en plan selon les approches du code pour prédire la largeur des fissures.Mots-clés : largeur de fissures, espacement des fissures, plaques épaisses de béton armé à haute résistance, constructions en mer, confinement nucléaire, charge en plan.[Traduit par la Rédaction]

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An analytical model for crack spacing of thick reinforced concrete plates

Cited by 17 publications

References 10 publications

Average Crack Spacing of Overlay-Strengthened RC Beams

Average Crack Spacing of Overlay-Strengthened RC Beams

Analytical and experimental investigation of cracking in two-way reinforced concrete panels

Crack width model for thick reinforced concrete plates subjected to in-plane forces

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