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Structural Behaviour of Conventional and FRP- Reinforced Concrete Deep Beams

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Release : 2014
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Book Synopsis Structural Behaviour of Conventional and FRP- Reinforced Concrete Deep Beams by : Fawzi Latosh

Download or read book Structural Behaviour of Conventional and FRP- Reinforced Concrete Deep Beams written by Fawzi Latosh. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: Many structural applications such as pile caps, girders, foundation walls and offshore structures include the use of reinforced concrete deep beams as structural elements. The structural behaviour of deep beams is affected by its span to depth ratio, type of loading, reinforcement ratio in vertical and horizontal directions, concrete strength, and type of cross section. Since the traditional beam theory is not applicable for designing deep beams, the strut and tie model (STM) was developed earlier as a rational method for estimating the capacity of a reinforced concrete deep beam and accepted in the current codes and standards for the design of such beams. While for designing a conventional (i.e. steel reinforced) concrete deep beams STM has been available in different codes and standards, for FRP-reinforced concrete deep beams such provisions are not available in most codes and standards. Only in the recent edition of the relevant Canadian standard (i.e., CAN/CSA S-806-12) which came out much later than the commencement of the present research, an STM approach has been provided, which is primarily based on that of conventional deep beams with some adjustments by using FRP reinforcement’s properties to calculate the tie capacity. One of the reasons for the lack of standards or code provisions for such systems in other codes (e.g., ACI and Eurocode) is perhaps the lack of adequate experimental data available on the performance of such beams. As the use of FRP reinforced concrete structures is increasing, there is a need to the development of a design method for FRP-reinforced concrete deep beams, which could be similar to the existing STM method available for the conventional deep beams, similar to the approach taken by the Canadian standard. But, such provisions must be validated and/or modified appropriately and calibrated with experimental studies. The objectives of the present research are to: (1) Identify the critical parameters governing the behaviour of conventional concrete deep beams; (2) Develop a design procedure for FRP reinforced concrete deep beams; (3) Study the critical factors in FRP-reinforced concrete deep beams and evaluate the proposed design procedure using numerical and experimental tests; and (4) Evaluate the STM procedure outlined in the CSA-S806-12[2012] for designing FRP reinforced deep beams. The current design provisions for conventional concrete deep beams as provided in the following three prominent standards that use the strut–and-tie model have been extensively reviewed: ACI 318-08, Eurocode EN 1992-1-1-2004(E) and Canadian code CSA A23-3-04. The influence of different variables on the ultimate strength of deep beam estimated using STM provisions in the codes are studied. A large database of available experimental studies on conventional deep beams has been created. The ultimate load capacity and failure pattern for each sample in the database have been evaluated using the STM models provided in the above three standards, and compared with the experimental results and critical parameters that have been identified. The results of the preliminary study show that the use of Strut and Tie model are generally appropriate method for beams with shear-span to depth ratio less than or equal to two. Also the study confirmed that both the shear span-to-depth ratio and the amount of shear web reinforcement have the most significant effect on the behaviour of deep beams and on the codes predictions of the ultimate strength of deep beams. Based on the review of the STM models available for the conventional deep beams as provided in the current standards, a similar model has been developed here to design FRP-reinforced deep beams. Using the proposed method, a set of FRP-reinforced deep beam has been designed and constructed. An experimental program has been carried out to test these beams to study the applicability of the proposed method and effect of the critical design parameters. Nine FRP reinforced concrete deep beams were divided into three groups, based on their shear span-to-depth ratio (a/d), and tested under a single concentrated load to investigate their behaviour and strength. The test variables were the shear span-to-depth ratio and the quantity of web shear reinforcement. The behaviour of deep beams is indicated by their shear strength capacity, mid span deflection, strain at the FRP longitudinal and web reinforcement, crack propagation, and type of failure. A new equation is presented in this study to calculate the contribution of the FRP web reinforcement to the ultimate shear capacity of FRP-reinforced concrete deep beams. As a new version of the CSA standard is available now which provides STM procedure for FRP-reinforced deep beams, the test results have been compared to predictions based on the current CSA design procedure. This investigation reveals that the Strut and Tie model procedure in the CSA-S806-12 code provides a conservative and convenient design procedure for FRP-reinforced concrete deep beams. However, there are some areas where the code provisions can be improved and some inconsistencies in the way the strut capacity is determined can be removed. In addition, the shear design procedures of the ACI 440.1R-06 Code and of the modified Strut and Tie model (STM) from Appendix A of the ACI 318-08 Code were compared based on their test results and a modified STM procedure based on ACI 318-08 provision has been proposed for the adoption to ACI 440. This investigation reveals that adopting the procedure in the ACI 318-08 Code and taking into consideration the properties of FRP reinforcement provides a conservative and rational design procedure for FRP reinforced concrete deep beams.

Reinforced Concrete Deep Beams

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Author :
Release : 1991-05-01
Genre : Architecture
Kind : eBook
Book Rating : 880/5 ( reviews)

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Book Synopsis Reinforced Concrete Deep Beams by : F K Kong

Download or read book Reinforced Concrete Deep Beams written by F K Kong. This book was released on 1991-05-01. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this book have been chosen with the following main aims: to review the present coverage of the major design codes and the CIRIA guide, and to explain the fundamental behaviour of deep beams; to provide information on design topics which are inadequately covered by the current codes and design manuals; and to give authoritative revie

The Structural Behaviour of Reinforced Concrete Deep Beams

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Author :
Release : 1992
Genre : Concrete beams
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Book Synopsis The Structural Behaviour of Reinforced Concrete Deep Beams by : Stephen J. Foster

Download or read book The Structural Behaviour of Reinforced Concrete Deep Beams written by Stephen J. Foster. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

CEB FIP model code 1990 final draft chapters1-3

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Author :
Release : 1991-07-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 088/5 ( reviews)

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Book Synopsis CEB FIP model code 1990 final draft chapters1-3 by : FIB – International Federation for Structural Concrete

Download or read book CEB FIP model code 1990 final draft chapters1-3 written by FIB – International Federation for Structural Concrete. This book was released on 1991-07-01. Available in PDF, EPUB and Kindle. Book excerpt:

Tests on Concrete Beams with GFRP Flexural and Shear Reinforcements & Analysis Method for Indeterminate Strut-and-tie Models with Brittle Reinforcements

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Release : 2014
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Book Synopsis Tests on Concrete Beams with GFRP Flexural and Shear Reinforcements & Analysis Method for Indeterminate Strut-and-tie Models with Brittle Reinforcements by : Martin D. Krall

Download or read book Tests on Concrete Beams with GFRP Flexural and Shear Reinforcements & Analysis Method for Indeterminate Strut-and-tie Models with Brittle Reinforcements written by Martin D. Krall. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is a summary of research on the use of glass fibre reinforced polymer (GFRP) bars and stirrups as internal reinforcement for concrete beams. Fibre reinforced polymer bars are geometrically similar to conventional steel reinforcement. They are made of a bundle of long glass fibres bound together by a polymer matrix. The bars are strong when loaded in tension parallel to the fibres, and weak when loaded in any other direction. Fibre reinforced polymers are linear-elastic-to-brittle-rupture materials. Unlike steel reinforcement, bent FRP shapes must be made at the time of manufacture, before the polymer cures. Fibre reinforced polymer stirrups, and other bent shapes, are known to prematurely rupture at the bends. Initially, this was a concern for the shear design of FRP reinforced concrete beams; however, the phenomenon is generally accepted by those who work with the material and aspects of the phenomenon are considered in the provisions of modern FRP reinforced concrete design codes and standards. On occasion other researchers observed full utilization of the straight portion strength of FRP stirrups, and one study suggested that the longitudinal bar arrangement may impact stirrup utilization. Therefore, the experimental program described in this thesis was devised to investigate the influence of longitudinal bar arrangements on GFRP stirrup utilization for beams failing in diagonal shear-tension. However, the experimental beams all failed in a form of shear-compression & strut-crushing and not by diagonal shear tension, so no stirrups ruptured and the original objective could not be tested. The failure modes were concrete controlled and the experimental results indicated deep beam behaviour. The original analysis method was precluded by the unintended failure modes, so an element of novelty was incorporated into the research by applying an analysis method for strut-and-tie modelling of steel reinforced concrete that did not require the assumption of steel yielding to find a lower bound solution. That method was developed by Kim and Yun (2011a). A generalized form of the method was modified for this research to account for FRP, which necessitated modifications to other aspects such as the failure conditions and element geometry. The modified method is referred to as the Indeterminate Strut-and-Tie (IST) method throughout this thesis. Current literature on the strut-and-tie modelling of FRP reinforced concrete focuses exclusively on deep beams without stirrups, which are modelled by determinate strut-and-tie trusses. Without the yielding assumption it is not possible to solve an indeterminate strut-and-tie truss without resorting to traditional structural analysis methods. The novelty of the IST method is not simply the application of Yun's work to FRP reinforced concrete, but that it is also the only method capable of finding a lower bound solution to FRP reinforced deep beams with indeterminate strut-and-tie trusses. The IST method uses traditional structural analysis methods to solve for the forces in a strut-and-tie truss. The concrete struts are modelled using one-dimensional, non-linear material behaviour that is modified with softening coefficients as described in Yun's research. The method applies load in increasing increments and at each increment the stiffness matrix updates by accounting for changes in concrete strut elasticity. The IST method is also capable of modelling other beam behaviours such as strains and deflections. The research found that the IST method was the best at predicting the strength of the experimental beams when compared to both the best available academic model and the most modern design standard.

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