Layer model for long-term deflection analysis of?cracked?reinforced concrete bending members

A numerical technique has been proposed for the long-term deformation analysis of reinforced concrete members subjected to a bending moment. The technique based on the layer approach in a simple and rational way deals with such complex issues as concrete cracking and tension-stiffening as well as creep and shrinkage. The approach uses the material stress-strain relationships for compressive concrete, cracked tensile concrete and steel. Such effects as linear and nonlinear creep, cracking, tension-stiffening as well as the reduction in concrete tension strength due to sustained loading have been taken into account. The shrinkage effect has been modeled by means of adequate actions of axial force and bending moment. A statistical deflection calculation analysis has been carried out for 322 experimental reinforced concrete beams reported in the literature. The comparative analysis of the experimental and the modeling results has shown that the proposed technique has well captured the time-deflection behavior of reinforced concrete flexural members. The results of the predictions by ACI 318 and Eurocode 2 design codes have been also discussed.     

Long-term deflections of reinforced concrete elements: accuracy analysis of predictions by different methods

Long-term deflection response of reinforced concrete flexural members is influenced by the interaction of complex physical phenomena, such as concrete creep, shrinkage and cracking, which makes their prediction difficult. A number of approaches are proposed by design codes with different degrees of simplification and accuracy. This paper statistically investigates accuracy of long-term deflection predictions made by some of the most widely used design codes (Eurocode 2, ACI 318, ACI 435, and the new Russian code SP 52-101) and a numerical technique proposed by the authors. The accuracy is analyzed using test data of 322 reinforced concrete members from 27 test programs reported in the literature. The predictions of each technique are discussed, and a comparative analysis is made showing the influence of different parameters, such as sustained loading duration, compressive strength of concrete, loading intensity and reinforcement ratio, on the prediction accuracy.     

高强箍筋高强混凝土柱抗震性能研究

为研究高强箍筋高强混凝土柱的抗震性能,首先进行了6根配置高强箍筋的高强混凝土柱和3个普通强度混凝土柱(作为对比)抗震拟静力试验,并对其破坏形态、滞回曲线、延性及耗能指标以及抗剪强度等进行了对比分析。结果表明:高强混凝土试件与普通混凝土试件破坏过程相似,均呈弯剪破坏形态,采用高强混凝土可有效降低试件轴压比,对其延性和耗能能力有利。将国内外进行的高强箍筋高强混凝土柱抗剪承载力试验结果与美国ACI318规范、我国混凝土结构设计规范(GB50010-2002)的抗剪公式进行了对比,认为ACI规范及我国规范在计算高强箍筋高强混凝土柱抗剪承载力时均有不安全因素,宜在设计时注意。采用Mander建议的约束混凝土本构关系和纤维单元程序USC_RC仍可以对高强箍筋高强混凝土柱的受弯承载力进行较为准确的模拟分析。     

Structural behavior of alkali activated fly ash concrete. Part 2: structural testing and experimental findings

Alkali activated fly ash concrete (AAFAC) is an alternative form of concrete that uses coal fly ash as a 100 % replacement for ordinary portland cement (OPC). In this paper structural testing of nine steel reinforced AAFAC beams is explored. The test matrix included three over-reinforced, three under-reinforced, and three shear critical AAFAC beam samples, all tested in four point monotonic bending. For control purposes, an identical set of OPC concrete (OPCC) beams was fabricated and tested under identical conditions. Data collection during testing included load, deflection, top and side fiber concrete strains, and crack width. Test results show that AAFAC beams have very similar behavior to companion OPCC beams. This applies to load induced crack pattern, crack width magnitude, neutral axis location, flexural stiffness, and ultimate flexural and ultimate shear strengths. The research concludes that AAFAC flexural members can be designed using existing ACI 318-08 methods developed for OPCC, and that this applies to both the service and ultimate limit states.     

Experimental study and code predictions of fibre reinforced polymer reinforced concrete (FRP RC) tensile members

Due to their different mechanical properties, cracking and deformability behaviour of FRP reinforced concrete (FRP RC) members is quite different from traditional steel reinforced concrete (SRC) having great incidence on their serviceability design. This paper presents and discusses the results of an experimental programme concerning concrete tension members reinforced with glass fibre reinforced polymer (GFRP) bars. The main aim of the study is to evaluate the response of GFRP reinforced concrete (GFRP RC) tension members in terms of cracking and deformations. The results show the dependence of load-deformation response and crack spacing on the reinforcement ratio. The experimental results are compared to prediction models from codes and guidelines (ACI and Eurocode 2) and the suitability of the different approaches for predicting the behaviour of tensile members is analysed and discussed.     

BFRP筋钢纤维高强混凝土梁受弯承载力试验与理论

通过11根玄武岩纤维增强聚合物复合材料（BFRP）筋钢纤维高强混凝土梁的受弯性能试验,研究了钢纤维混凝土层厚度、钢纤维体积分数和BFRP筋配筋率对BFRP筋钢纤维高强混凝土梁受弯破坏形态及其承载力的影响。结果表明,BFRP筋钢纤维高强混凝土梁的破坏模式可分为受压破坏、受拉破坏和平衡破坏3种;钢纤维混凝土层厚度和钢纤维体积分数的变化对于BFRP筋钢纤维高强混凝土梁受弯承载力具有一定程度的影响,当BFRP筋配筋率为0.77%时,掺加体积分数为1.0%钢纤维的梁受弯承载力较无钢纤维梁提高了22.7%,在受拉区0.57倍截面高度内掺加1.0vol%钢纤维的梁受弯承载力达到全截面钢纤维混凝土梁受弯承载力的86.7%;增大BFRP筋配筋量可显著提高BFRP筋钢纤维高强混凝土梁的受弯承载力,BFRP筋配筋率为1.65%的试验梁受弯承载力较配筋率为0.56%的试验梁提高了39.4%。针对不同的破坏模式,提出了BFRP筋钢纤维高强混凝土梁受弯承载力和平衡配筋率的计算方法,并结合安全配筋率的概念对试验梁的破坏模式进行了预测,试验结果与分析结果吻合良好。     

Investigation of microstructure and flexural behavior of steel-fiber reinforced concrete

This paper presents microstructure and flexural behavior of steel-fiber reinforced concrete produced with different steel fibers volume fraction and aspect ratio. Prismatic concrete specimens of 100 × 100 × 350 mm were prepared with and without steel fiber. Two different steel fiber types (both is hooked-end) were used by ratio of 0% (control), 0.2, 0.4, 0.6 and 0.8% by volume. Specimens were de-molded after 24 h and cured in water until 7, 28, 56, 180 and 360 days. On the prisms, flexural strength has been defined for every age. The crack widths have also been measured after maximum bearing loads. Microstructure of SFRC was studied by scanning electron microscopy and optical microscopy for 180 aged specimens. The results showed that the polarized microcopy images may be used for observing the bond characteristic of SFRC as alternatively to SEM. A good bond was observed between steel fiber and concrete matrix interface zone by using polarizing microscopy, too. Flexural strength of SFRC increased with the concrete age and fiber volume fraction. Besides, the first crack development significantly decreased by increasing of fiber volume fraction in the all concrete ages.     

Predicting the flexural load–deflection response of steel fibre reinforced concrete from strain, crack-width, fibre pull-out and distribution data

A semi-analytical model is presented, based on conventional principles of mechanics, to predict the flexure behaviour of steel fibre reinforced concrete. The model uses a stress-block approach to represent the stresses that develop at a cracked section by three discrete stress zones: (a) a compressive zone; (b) an uncracked tensile zone; and (c) a cracked tensile zone. It is further shown that the stress-block, and hence flexural behaviour, is a function of five principal parameters: compressive stress–strain relation; tensile stress–strain relation; fibre pull-out behaviour; the number and distribution of fibres across the cracked section in terms of their positions, orientations and embedment lengths; and the strain/crack-width profile in relation to the deflection of the beam. An experimental investigation was undertaken on both cast and sprayed specimens to obtain relationships for use in the model. The results of the study showed a reasonable agreement between the model predictions and experimental results. However, the accuracy of the model is probably unacceptable for it to be currently used in design. A subsequent analysis highlighted the single fibre pull-out test and the sensitivity of the strain analysis tests as being the main cause of the discrepancies.     

型钢混凝土结构ANSYS数值模拟技术研究

采用ANSYS程序对6个型钢混凝土梁试件的受力性能进行非线性有限元数值分析,对型钢混凝土结构数值模拟中混凝土和钢材材料模型定义、有限元建模、钢筋单元生成及后处理等关键技术进行系统研究。着重对型钢混凝土粘结滑移性能的数值模拟技术进行了研究。采用由ANSYS程序单元库中非线性弹簧单元combination-39组成的三维连接单元模拟型钢混凝土在不同部位及不同方向上的界面相互作用,建议了非线性弹簧单元粘结力-滑移曲线与型钢混凝土粘结滑移本构关系的转换技术,并提出了生成非线性弹簧单元的实用方法。最终形成考虑粘结滑移的型钢混凝土数值模拟技术。型钢混凝土梁数值模拟结果与试验结果吻合较好,表明所建立型钢混凝土结构ANSYS数值模拟技术合理、可行,可适用于基于ANSYS程序的型钢混凝土结构有限元数值模拟和受力性能深入研究。     

Efficacy of CFRP-based techniques for the flexural and shear strengthening of concrete beams

Near surface mounted (NSM) and externally bonded reinforcement (EBR) strengthening techniques are based on the use of carbon fiber reinforced polymer (CFRP) materials and have been used for the structural rehabilitation of concrete structures. In the present work, the efficacies of the NSM and EBR techniques for the flexural and shear strengthening of reinforced concrete beams are compared carrying out two experimental groups of tests. For the flexural strengthening, the efficacy of applying CFRP laminates according to NSM is compared to those resulting from applying CFRP laminates and wet lay-up CFRP sheets according to EBR technique. The influences of the equivalent reinforcement ratio (steel and laminates) and spacing of the laminates on the efficiency of the NSM technique for the flexural strengthening is also investigated. A numerical strategy is implemented to analyze the applicability of the FRP effective strain concept, proposed by ACI and fib in the design of FRP systems for the flexural strengthening. To assess the efficacy of the NSM technique for the shear strengthening of concrete beams, four beam series of distinct depth and longitudinal tensile steel reinforcement ratio are tested. Each series is composed of one beam without any shear reinforcement and one beam using the following shear reinforcing systems: conventional steel stirrups; strips of wet lay-up CFRP sheet of U configuration applied according to EBR technique; and laminates of CFRP embedded into vertical or inclined (45°) pre-cut slits on the concrete cover of the beam lateral faces, according to the NSM technique. Using the obtained experimental results, the performance of the analytical formulations proposed by ACI, fib and Italian guidelines is appraised.     

火灾下型钢混凝土梁力学性能的研究

采用纤维模型法和有限元软件ABAQUS计算了火灾下型钢混凝土梁的变形以及耐火极限,初步了解了型钢混凝土梁的高温力学性能。在此基础上,利用纤维模型法分析了截面尺寸、截面含钢率、受拉钢筋配筋率、型钢屈服强度、钢筋屈服强度、混凝土强度、截面高宽比和钢筋的混凝土保护层厚度等参数对火灾下构件承载力的影响规律,最后提出了型钢混凝土梁耐火极限的实用计算公式。     

Deflections of concrete beams reinforced with FRP bars

The aim of this study is to experimentally and theoretically investigate the flexural behavior of concrete beams reinforced with fiber reinforced polymer (FRP) bars. In this research, three types of experiments were made. First, the tensile properties of FRP and steel bars were tested, then the bond-slip behavior between bars and concrete was tested on standard specimens and, in the end, three series of concrete beams reinforced with GFRP, CFRP and steel bars were tested up to failure. The theoretical model for calculating deflections was developed, which included bond-slip behavior of FRP bars. The theoretical results were compared to the test results of beam deflections, as well to deflection results obtained by theoretical models developed by other authors.     

Performance of glass fiber reinforced plastic bars as a reinforcing material for concrete structures

The increasing use of fiber reinforced plastic (FRP) bars to reinforce concrete structures necessitates the need for either developing a new design code or adopt the current one to account for the engineering characteristics of FRP materials. This paper suggests some modifications to the currently used ACI model for computing flexural strength, service load deflection, and the minimum reinforcement needed to avoid rupturing of the tensile reinforcement. Two series of tests were conducted to check the validity of the suggested modifications. The first series was used to check the validity of the modifications made into the flexural and service load deflection models. The test results of the first series were also analyzed to develop two simple models for computing the service load deflection for beams reinforced with glass FRP (GFRP) bars. The second series was used to check the accuracy of the modification suggested into minimum reinforcement model.Test results of the first series indicate that the flexural capacity of the beams reinforced by GFRP bars can be accurately predicted using the ultimate design theory. They also show that the current ACI model for computing the service load deflection underestimates the actual deflection of these beams. The two suggested models for predicting service load deflection accurately estimated the measured deflection under service load, and the simpler of the two pertains better predictions than those of the models available in the literature. Test results of the second series reveal that there is an excellent agreement between the predicted and recorded behavior of the test specimens, which suggests the validity of the proposed model for calculating the required minimum reinforcement for beams reinforced by GFRP bars.     

不同荷载条件下型钢-钢纤维混凝土组合结构的界面失效机理研究

为了解决型钢混凝土结构中型钢与钢筋相互干扰、混凝土浇筑困难等施工难题,将型钢混凝土结构中的钢筋笼完全或部分替换成钢纤维,形成了型钢-钢纤维混凝土组合结构。完成了36个试件的推出试验和13个试件的四点弯试验,分别研究了型钢-钢纤维混凝土组合结构在轴心力与弯矩作用下的界面失效,分析了不同荷载条件下的内力传递与破坏机理。钢纤维在混凝土裂缝处的拉拔行为形成了“桥接”效应,约束了裂缝扩展,改善混凝土裂后的抗拉性能,可以解决因保护层减小而导致的型钢与钢纤维混凝土界面黏结性能变差的问题,延缓甚至避免界面黏结失效的发生。轴心力作用下,因泊松比产生了型钢与钢纤维混凝土之间的界面挤压,钢纤维混凝土在两个正交水平方向承受拉力,这是钢纤维混凝土损伤与开裂的主要原因。钢纤维混凝土的损伤程度与界面的黏结性能有直接的关系,同时受到钢材泊松比的影响。在四点弯试验中,黏结裂缝集中出现在仅承受弯矩的跨中区域,型钢与钢纤维混凝土之间的内力传递以及由此产生的界面拉应力是导致黏结裂缝大量出现的根本原因。黏结裂缝首先出现在钢翼缘的肢尖位置,并随着荷载的增大由内向外发展,直至发展到表面,形成可视裂缝。跨中区域最终形成了钢纤维混凝土保护层梯形破坏面。     

型钢混凝土剪力墙抗剪承载力计算公式研究

型钢混凝土剪力墙构件具有良好的抗震性能,已在高层和超高层建筑中得以广泛应用,然而对于型钢混凝土剪力墙抗剪承载力的研究还比较薄弱,可用于分析的试验试件比较少。根据作者完成的16个型钢混凝土剪力墙试件的试验数据,结合国内其他学者的试验研究成果,对型钢混凝土剪力墙抗剪承载力计算公式进行了研究。提出的公式不但能够分析普通的型钢混凝土剪力墙,而且还能够计算中间配置型钢的型钢混凝土剪力墙的抗剪承载力,适用范围更广。通过计算结果与试验实测的对比,提出的公式较好地反映了实际试验结果。     

Fatigue behaviour of steel fiber reinforced concrete

The results of an experimental investigation on the fatigue characteristics and residual strength of steel fiber reinforced concrete (SFRC) are reported. The testing program included flexural specimens as well as split-cylinders and cubes reinforced with two fiber types at a low volume content. One of the fibers was of the deformed slit-sheet type available at aspect ratios of 45 and 60. It is shown that SFRC has a better fatigue response than plain concrete and that the deformed slit-sheet fiber has an effect almost identical to hooked-end fiber of similar dimensions. There is no increase in residual strength measured by split-tension when specimens are subjected to fatigue stress above the endurance limit. Fatigue characteristics of SFRC from this testing program as well as previous works can be interpreted as a function of the fiber factor (i.e. a parameter accounting for volume fraction, aspect ratio and fiber type) to provide design charts. More experimental work is needed to provide an acceptable database for fatigue design of SFRC.     

A finite element assessment of flexural strength of prestressed concrete beams with fiber reinforcement

This paper presents an assessment of the flexural behavior of 15 fully/partially prestressed high strength concrete beams containing steel fibers investigated using three-dimensional nonlinear finite elemental analysis. The experimental results consisted of eight fully and seven partially prestressed beams, which were designed to be flexure dominant in the absence of fibers. The main parameters varied in the tests were: the levels of prestressing force (i.e, in partially prestressed beams 50% of the prestress was reduced with the introduction of two high strength deformed bars instead), fiber volume fractions (0%, 0.5%, 1.0% and 1.5%), fiber location (full depth and partial depth over full length and half the depth over the shear span only). A three-dimensional nonlinear finite element analysis was conducted using ANSYS 5.5 [Theory Reference Manual. In: Kohnke P, editor. Elements Reference Manual. 8th ed. September 1998] general purpose finite element software to study the flexural behavior of both fully and partially prestressed fiber reinforced concrete beams. Influence of fibers on the concrete failure surface and stress–strain response of high strength concrete and the nonlinear stress–strain curves of prestressing wire and deformed bar were considered in the present analysis. In the finite element model, tension stiffening and bond slip between concrete and reinforcement (fibers, prestressing wire, and conventional reinforcing steel bar) have also been considered explicitly. The fraction of the entire volume of the fiber present along the longitudinal axis of the prestressed beams alone has been modeled explicitly as it is expected that these fibers would contribute to the mobilization of forces required to sustain the applied loads across the crack interfaces through their bridging action. A comparison of results from both tests and analysis on all 15 specimens confirm that, inclusion of fibers over a partial depth in the tensile side of the prestressed flexural structural members was economical and led to considerable cost saving without sacrificing on the desired performance. However, beams having fibers over half the depth in only the shear span, did not show any increase in the ultimate load or deformational characteristics when compared to plain concrete beams.     

核电工程双钢板混凝土组合剪力墙面内受弯性能研究

开展了核电厂屏蔽厂房双钢板混凝土组合剪力墙的结构形式的10个缩尺试件低周往复拟静力试验,研究了钢板厚度、栓钉间距、竖向荷载以及加劲肋设置等因素对双钢板混凝土组合剪力墙受弯承载力的影响。分析结果表明:钢板厚度、竖向荷载和加劲肋的设置都对剪力墙的受弯承载力有很大的影响,而栓钉间距对其影响不大。采用ABAQUS有限元软件对双钢板混凝土组合剪力墙试件进行了数值模拟,通过比较有限元计算结果和试验结果发现两者在受弯承载力上能够较好吻合,但有限元计算得出的曲线没有明显的下降段。结合试验和有限元数值模拟,提出了双钢板混凝土组合剪力墙受弯承载力的计算公式。研究为以后双钢板混凝土组合剪力墙的设计应用提供理论依据。     

Comparative analysis of deformations and tension-stiffening in concrete beams reinforced with GFRP or steel bars and fibers

Present research experimentally and theoretically investigates deformations and tension-stiffening in concrete beams with different types of reinforcement. The paper reports test results of eight beams reinforced with glass fiber reinforced polymer (GFRP) or steel bars, combined with steel fibers. For given uniform reinforcement ratio, different number and distribution of bars was assumed in the section. Experimental curvatures were checked against the predictions by design codes (Eurocode 2, ACI 318 and the new Russian code SP 52-101) and recommendations (Italian CNR-DT 203 and American ACI 440). The study examined capability of different code techniques to predict deformations of beams with varying reinforcement characteristics. It has been shown that distribution of reinforcement had a significant influence on the prediction accuracy. In a more elaborate analysis, the tension-stiffening effect was investigated using an inverse technique earlier developed by the authors. Stress–strain tension-stiffening relationships were obtained for each of the beams using the test moment–curvature diagrams. Unlike the common practice, the analysis took into account the shrinkage effect which was different for steel and GFRP reinforced elements. To verify adequacy of the obtained results of constitutive modeling, the derived tension-stiffening relationships were implemented into finite element simulation as material laws for tensile concrete. It was shown that the above inverse approach offers an alternative and versatile tool for constitutive modeling.     

Influence of concrete matrix and type of fiber on the shear behavior of self-compacting fiber reinforced concrete beams

Steel fibers are known to improve shear behavior. The Design Codes (Eurocode 2 (EC2), Spanish EHE-08, Model Code 2010 and RILEM approach) have developed formulas to calculate the fiber contribution to shear, mainly focused on standard FRCs, i.e. medium strength concretes with a low content of normal strength steel fibers. However, in real applications other combinations are possible, such as high or medium strength concretes with high strength steel fibers of different lengths and geometry. An experimental program consisting of 12 self-compacting fiber reinforced concrete (SCFRC) I-type beams was carried out. All the beams had the same geometry and fiber content (50 kg/m³), and they were made with two different concrete compressive strength values and five different types of steel fibers and were tested for shear. The main conclusions reached were that the type of fiber substantially affects shear behavior, even when the Design Code formulas indicate similar contributions. The combination of high strength concrete matrixes with low strength fibers does not seem to be efficient. Also, the use of high residual flexural tensile strength values (e.g. f_R3 or f_R4) does not appear to be the most accurate reference value to calculate the beam shear strength in these cases. The present Design Codes consider standard FRCs, but their formulas should be revised for concretes with fibers of different strengths, slenderness and geometry, since these properties substantially affect shear behavior.