GFRP筋橡胶集料混凝土梁受弯性能

为提高纤维增强聚合物复合材料(FRP)筋混凝土梁抗裂性能,改善其脆性破坏特征,将玻璃纤维增强聚合物复合材料(GFRP)筋与橡胶集料混凝土共同应用于梁构件中。采用ABAQUS对GFRP筋橡胶集料混凝土梁的受弯性能进行有限元模拟及参数分析,探究了橡胶掺量、GFRP筋配筋率、混凝土强度等级及截面高度对梁受弯性能的影响。结果表明:增加混凝土中橡胶颗粒的掺量可提高梁的开裂荷载,当橡胶掺量为15%时,开裂荷载提高了29%;增加配筋率可提高梁的开裂荷载和承载力,当受拉筋直径由10 mm增加至18 mm时,橡胶掺量为10%的GFRP筋橡胶混凝土梁开裂荷载提高了约15%,承载力提高了约85%,但配筋率增加至一定数值后,其影响不再明显;提高橡胶混凝土强度等级,可提高梁的开裂荷载及承载力,当橡胶混凝土强度等级由C25提高至C40时,开裂荷载提了高约53.7%,承载力提高了约23%;为更好地满足正常使用极限状态,GFRP筋橡胶混凝土梁的截面高度宜适当增加。      

Flexural behavior of plain concrete beams strengthened with ultra high toughness cementitious composites layer

Ultra high toughness cementitious composites (UHTCC), which has metal-like deformation and crack width restricting ability, is expected to be utilized as retrofit materials. For this application, much attention needs to be paid to the working performance of structure members composed of UHTCC and existing concrete. This paper presents an investigation on the flexural behavior of plain concrete beams strengthened with UHTCC layer in tension face. The effect of UHTCC layer thicknesses on first crack load, ultimate flexural load, crack width, and load–deflection relationship is examined. The experimental results indicate that the use of UHTCC layer significantly increases the first crack load and ultimate flexural load. The first crack load and ultimate flexural load of composites beams increased with the increase of the UHTCC layer thickness. Considerable reduction in crack width was observed for composite specimens, as UHTCC layer restricted the cracks in upper concrete and dispersed them into multiple fine cracks effectively. Moreover, in comparison to plain concrete beam, composite beams could sustain the loading at a larger deflection without failure. Based on the plane section assumption, etc., a calculation method to predict the flexural capacity of composite beam was proposed. Good agreement between predictions and experiments had been obtained.     

Response of steel fiber reinforced high strength concrete beams: Experiments and code predictions

The shear-flexure response of steel fiber reinforced concrete (SFRC) beams was investigated.Thirty-six reinforced concrete beams with and without conventional shear reinforcement (stirrups) were tested under a four-point bending configuration to study the effectiveness of steel fibers on shear and flexural strengths, failure mechanisms, crack control, and ductility.The major factors considered were compressive strength (normal strength and high strength concrete up to 100 MPa), shear span-effective depth ratio (a/d = 1.5, 2.5, 3.5), and web reinforcement (none, stirrups and/or steel fibers).The response of RC beams was evaluated based on the results of crack patterns, load at first cracking, ultimate shear capacity, and failure modes.The experimental evidence showed that the addition of steel fibers improves the mechanical response, i.e., flexural and shear strengths and the ductility of the flexural members.Finally, the most recent code-based shear resistance predictions for SFRC beams were considered to discuss their reliability with respect to the experimental findings. The crack pattern predictions are also reviewed based on the major factors that affect the results.     

混合配筋钢纤维增强混凝土梁受弯承载力试验及理论计算

为研究玻璃纤维增强聚合物复合材料(GFRP)筋与普通钢筋混合配筋钢纤维增强混凝土(SF/混凝土)梁的受弯性能及其受弯承载力计算方法,在考虑受拉区混凝土抗拉强度的基础上,给出混合配筋SF/混凝土梁的界限配筋率及受弯承载力计算公式;在此基础上设计制作了三种配筋方式的SF/混凝土梁,重点探讨了混合配筋率及筋材面积比(A_f/A_s)对试验梁失效模式和受弯承载力的影响;同时,借助已有相关试验结果,对比分析了混凝土强度对混合配筋SF/混凝土梁受弯性能的影响。试验和对比分析结果表明:混合配筋SF/混凝土梁正截面应变仍符合平截面假定;相同配筋形式下,混合配筋SF/混凝土梁的受弯承载力和跨中挠度随筋材面积比A_f/A_s的增加而增大;单层配筋梁的受弯承载力比双层配筋梁大;合理提高混凝土强度可在充分发挥GFRP筋抗拉作用的同时进一步提高混合配筋SF/混凝土梁的受弯承载力;采用本文给出的界限配筋率公式能有效预测混合配筋SF/混凝土梁的失效模式;梁受弯承载力建议公式的预测值与试验值吻合较好,具有良好的适用性。      

Flexural performance of FRP reinforced concrete beams

A numerical method for estimating the curvature, deflection and moment capacity of FRP reinforced concrete beams is developed. Force equilibrium and strain compatibility equations for a beam section divided into a number of segments are numerically solved due to the non-linear behaviour of concrete. The deflection is then obtained from the flexural rigidity at mid-span section using the deflection formula for various load cases. A proposed modification to the mid-span flexural rigidity is also introduced to account for the experimentally observed wide cracks over the intermediate support of continuous FRP reinforced concrete beams.     

Deflection behaviour of FRP reinforced concrete beams and slabs: An experimental investigation

The flexural response of FRP RC elements is investigated through load–deflection tests on 24 RC beams and slabs with glass FRP (GFRP) and carbon FRP (CFRP) reinforcement covering a wide range of reinforcement ratios. Rebar and concrete strains around a crack inducer are used to establish moment–curvature relationships and evaluate the shear and flexural components of mid-span deflections. It is concluded that the contribution of shear and bond induced deformations can be of major significance in FRP RC elements having moderate to high reinforcement ratios. Existing equations to calculate short-term deflection of FRP RC elements are discussed and compared to experimental values.     

Comparison between the short and long term behaviour of fibre reinforced and unreinforced concrete beams

The paper deals with the results of tests on concrete beams with and without steel fibres, reinforced (with high yield flexural steel only) and without any reinforcement loaded statically both long and short term. Tests were carried out for both serviceability and ultimate limit states. Measurements were taken of load, strains, crack width and crack pattern, and deflection. For short term loading the beams were loaded incrementally to failure, whilst for the long term tests were loaded incrementally to their service load which was maintained for 28 days before being increased to failure. From the long term tests the effects of creep can be determined.

A total of 15 beams were tested over 28 days. The fibres were stainless steel with an aspect ratio of 55 and a volume fraction of 1·5%. In all cases the results indicate successively better performances as fibre reinforcement and bar reinforcement were added.     

Crack development in concrete structures due to imposed strains—Part II: Parametric study of a wall fully restrained at the base

Crack development due to imposed strains in concrete walls fully restrained at the base is studied in order to improve control of cracking. In this second paper the influence of reinforcement and concrete properties as well as geometry on crack width and crack spacing is studied. In a first paper a two-dimensional FE-method is described, with closing forces in cracks concentrated to spring elements. Temperatures changes are used as load and the calculations are performed stepwise with opening of nodes and implementation of spring elements. It is shown that the two-dimensional behaviour of the wall only gives about half the crack widths compared to a one-dimensional bar with the same percentage of reinforcement. The reason is that the restraint along the base will effectively facilitate distribution of cracking along the wall. The two-dimensional analysis shows that the crack widths are limited also by low reinforcement ratios. For the same reinforcement ratio the crack width will increase with tensile strength of the concrete. The geometry of the wall has very little influence on the cracking behaviour unless the wall is very short. Bond stiffness and bar diameter have a limited effect on the crack width in the wall.     

Experimental investigation into flexural retrofitting of reinforced concrete bridge beams using FRP composites

End cover separation and shear crack debond are the two most critical debonding modes in beams retrofitted with fibre reinforced polymer composites due the brittle nature of the failures. However, these failures are still not fully understood. A testing program including 18 rectangular reinforced concrete beams is carried out to investigate the failure mechanisms and the influence of several parameters on these debond modes. Testing shows that end cover separation starts from FRP ends and fails in the form of shear failure at steel reinforcement level at the root of the concrete teeth between shear cracks. Shear crack debond failure is due to the opening of one of those inclined cracks. Several debond prediction models are then verified with the experiment proving to work relatively well.     

Response of reinforced concrete beams to hydrostatic pressure acting within primary cracks

This paper investigates the response of reinforced concrete beams to hydrostatic pressure acting within primary cracks. Notched beams were initially pre-cracked before pressurised water was introduced into the primary crack. The deflection and strain increase at tensile reinforcement level (due to the pressurised water load) was measured. Tests were carried out using applied hydrostatic pressures of 0.2 and 0.325 MPa. Results show that both deflection and strain at tensile reinforcement level increases immediately after the introduction of hydrostatic pressure into open primary cracks. If the crack is held open and hydrostatic pressure is allowed to build up within the depth of the crack, additional deformation occurs. A finite element (FE) model was constructed to investigate the effects of greater hydrostatic pressures acting within the primary crack. The FE model was first validated against the test data, before being used to assess the structural response of the reinforced concrete section to applied hydrostatic pressures of up to 1 MPa. It was found that section deformations increased as hydrostatic pressure was increased. At applied hydrostatic pressures of 0.8 MPa and above, the increases in strain at tensile reinforcement level were shown to be significant. DNV-0S-C205, which is the Det Norske Veritas (DNV) standard for offshore concrete structures states that the ‘effects of water pressure within cracks may be neglected for structural elements exposed to less than 100 m (0.981 MPa) of water head.’ The current research suggests that the effects of water pressure within cracks for structural elements exposed to slightly less than 100 m water head may also be significant (based on a 10 % threshold criteria). However, it is accepted that a more comprehensive parametric study would be required to determine whether or not the DNV should be redressed.     

CFRP筋增强ECC梁弯曲性能试验研究

为研究碳纤维增强树脂复合材料(Carbon fiber reinforced polymer,CFRP)筋/超高韧性纤维增强水泥基复合材料(Engineered cementitious composite,ECC)梁的抗弯性能,对3根CFRP筋/ECC梁、1根玻璃纤维增强树脂复合材料(Glass fiber reinforced polymer,GFRP)筋/梁和1根CFRP筋混凝土梁进行了四点弯曲试验,分析了配筋率、纤维增强树脂复合材料(Fiber reinforced polymer,FRP)筋类型和基体类型对梁抗弯性能的影响。试验结果表明:CFRP筋/ECC梁与GFRP筋/ECC梁和CFRP筋混凝土梁类似,均经历了弹性阶段、带裂缝工作阶段和破坏阶段;配筋率对CFRP筋/ECC梁的受弯性能影响较大。随着配筋率的增加,CFRP筋/ECC梁的承载能力不断提高,延性性能逐渐减弱;ECC材料优异的应变硬化能力和受压延性,使得CFRP筋/ECC梁的极限承载能力和变形能力均优于CFRP筋混凝土梁;由于ECC材料多裂缝开裂能力,CFRP筋/ECC梁开裂后,纵筋表面应变分布比CFRP筋混凝土梁更均匀; 由于聚乙烯醇(Polyvinyl alcohol,PVA)纤维的桥联作用,CFRP筋/ECC梁破坏时,其表面出现了大量的细密裂缝,且能保持较好的完整性和自复位能力;正常使用阶段,CFRP筋/ECC梁的最大弯曲裂缝宽度均小于CFRP筋混凝土梁。最后,根据试验结果,建立了基于等效应力图的CFRP筋/ECC梁弯曲承载力简化计算模型,确定模型中的相关系数。由简化模型计算的极限承载力与试验结果具有较好的相关性。      

高强型钢超高性能混凝土梁受弯性能试验研究及有限元分析

为研究高强型钢超高性能混凝土梁的受弯性能,以配钢率、型钢位置和钢纤维体积分数为变化参数,设计了6个试件,并对其进行了静力加载试验,获得了试件的破坏形态和荷载-跨中挠度曲线,分析了试件的承载能力和变形能力,以及型钢、纵向钢筋和超高性能混凝土的应变变化规律。基于试验研究,建立了高强型钢超高性能混凝土梁受弯性能的有限元分析模型,计算结果与试验结果吻合较好,进而进行了参数分析。结果表明：所有试件均发生的是适筋破坏,纵向受拉钢筋和型钢下翼缘率先屈服,然后受压区超高性能混凝土被压碎;在试件的破坏阶段,所承担的荷载会依次经历陡降、波动、缓慢上升和缓慢下降四个阶段;试件的变形能力系数超过5,呈现出较强的变形能力;试件开裂前,超高性能混凝土的应变符合平截面假定,但开裂后,只有受压区和受拉区在中和轴附近的一小部分超高性能混凝土应变呈线性分布;配钢率和型钢强度增大,试件的承载能力和变形能力均提高;超高性能混凝土抗压强度增大及型钢从截面居中位置下移,试件的承载能力提高,但变形能力下降;钢纤维体积分数增加,试件的抗裂能力和变形能力均提高,但承载能力变化不显著。     

Investigation on the flexural behaviour of reinforced concrete beams using phyllite aggregates from mining waste

This paper investigated the flexural behaviour of 12 reinforced concrete (RC) beams made of phyllite coarse aggregates produced as by-product of underground gold mining activity. The beams were tested to failure under four point test. Collapse of the beams which were adequately designed against shear failure occurred mostly through either flexural-shear failure and/or diagonal tension failure. The experimental failure loads averaged approximately 115% of the theoretical failure loads. It was observed that the beams developed early shear cracks and higher flexural crack widths than allowable at service loads. Deflections compared reasonably well with the design code requirement but displacement ductility was low. It is recommended that British Standard (BS) 8110 design concrete shear stress values be multiplied by 0.8 to assure that the predicted shear capacity of phyllite concrete would be low and reasonable as compared to flexural capacity. In that case, BS 8110 can be used to provide adequate load factor against flexural failure for under-reinforced RC beams made of phyllite coarse aggregates.     

A design concept with the use of RUHTCC beam to improve crack control and durability of concrete structures

Aiming at design issues of strictly anti-cracking structures or aseismic design in crucial locations of structures when using ultra high toughness cementitious composite (UHTCC), investigations on flexural behavior of reinforced ultra high toughness cementitious composite (RUHTCC) members are carried out due to excellent crack dispersion and strain energy absorption abilities of UHTCC. According to elastic theory, a calculation model of strain-hardening composites flexural members including theoretical calculation of moment, deflection and curvature, as well as critical reinforcement ratio is proposed in detail. Then experiment on RUHTCC beams without web reinforcement is performed to verify theoretical equations. For RUHTCC beams, there is a good agreement between test results and theoretical calculation. The safe calculated ductility indices can be used to predict ductility of structures. Compared with reinforced concrete beams, UHTCC delays yielding of reinforcements and improves load bearing capacity and ductility of structures, then steel reinforcement is saved; low reinforcement ratio is propitious to exert advantages of UHTCC. Under service load conditions, crack width in RUHTCC beams is limited to 0.05 mm and can be considered without negative influence on durability. Durability of structures will be significantly improved by using UHTCC instead of concrete.     

预应力铝合金筋嵌入式补强钢筋混凝土梁裂缝分析与计算

完成了7根预应力7075铝合金筋嵌入式补强混凝土梁试件的四点弯曲静载试验,应用非接触式数字图像相关法对混凝土加固梁的裂缝形成、分布、裂缝宽度和间距进行分析,研究了铝合金加固量、预应力以及预应力水平对嵌入式补强混凝土梁试件破坏模式和裂缝特性的影响。试验研究表明:铝合金筋嵌入式补强法可以显著提高混凝土梁的承载能力,施加预应力进一步增强加固梁的强度并延缓混凝土开裂和钢筋屈服;端部锚固有效避免了加固梁试件发生剥离破坏,提高高强铝合金强度利用率;施加预应力、增大加固量和提高预应力水平,均可以有效控制裂缝扩展,减小裂缝宽度和间距;根据中国《混凝土结构设计规范》(GB 50010?2010)对嵌入式非预应力/预应力铝合金筋补强混凝土梁的裂缝宽度和分布进行了计算,理论计算值与试验结果吻合良好,结果表明:中国混凝土结构设计规范给出的正常使用状态下最大裂缝宽度计算方法能够较好地考虑预应力、加固筋数量以及预应力水平对最大裂缝宽度的影响,适用于嵌入式补强钢筋混凝土受弯构件的裂缝计算与分析。     

Studies on ductility and evaluation of minimum flexural reinforcement in RC beams

Some experimental investigations on ductility and prediction of minimum flexural reinforcement in reinforced concrete (RC) beams are reported. The minimum flexural reinforcement was evaluated using optimum ductility in RC beams. Beams of size 100 mm, 200 mm and 400 mm were tested, which were designed with varying percentages of flexural reinforcement i.e. 0.15, 0.30, 0.60 and 1.0. The beams were tested under four-point loading to study the flexural behaviour under uniform bending moment. The experimentally obtained average compressive strength of concrete was 30 MPa. The influence of beam size (depth) on cracking and normalised ultimate flexural strength, ductility and overall average rotation has been studied. The cracking in RC beams is complex phenomenon in small size beams, while the cracking strength decreases as the depth increases beyond 200 mm. The flexural strength of RC beams, from the present study, appears to decrease as the depth increases. The ductility of RC beams increases as the percentage of flexural reinforcement increases. The ductility number has been derived from dimensional analysis using fracture mechanics principles. The ductility of RC beams decreases as the depth of beams increases. An optimum percentage of flexural reinforcement has been established using optimum ductility number, N_p, which is equal to 0.20. The minimum flexural reinforcement was found to decrease as the beam depth increases, and decreases as the yield strength of reinforcement increases.     

Structural performance of shear-critical RC deep beams with corroded longitudinal steel reinforcement

The effect of corrosion of longitudinal reinforcement on the structural performance of shear-critical reinforced concrete (RC) deep beams was experimentally investigated. A total of eight medium-scale reinforced concrete beams were constructed. The beams measured 150 mm wide, 350 mm deep and 1400 mm in length. The test variables included: corrosion levels (0%, 5%, and 7.5%), existence of stirrups and FRP repair. Six beams were subjected to artificial corrosion whereas two beams acted as control un-corroded. Following the corrosion phase, all beams were tested to failure in three point bending. The test results revealed that corrosion of properly anchored longitudinal steel reinforcement does not have any adverse effect on the behaviour of shear critical RC deep beams. Corrosion changed the load transfer mechanism to a pure arch action and as a result the load carrying capacity was improved. A strut and tie model was proposed to predict the failure loads of shear-critical RC deep beams with corroded longitudinal steel reinforcement. The predicted results correlated well with the experimental results.     

Influence of long-term chloride diffusion in concrete and the resulting corrosion of reinforcement on the serviceability of RC beams

This paper presents the chloride penetration and the effect of chloride ingress on the serviceability of reinforced concrete (RC) beams. A series of experimental studies were carried out on beams with various corroded ages up to 28 years. The chloride content in different locations were tested during various periods. Different states influencing the serviceability of the corroded beams were investigated, including the maximum width of the corrosion-induced cracks of the concrete cover, the mid-span deflection of the beams under the service load and their load-bearing capacity. Based on the results available from this programme, the service life of corroded beams was predicted by the corrosion process of the reinforcement. The results showed that the chloride corrosion could significantly deteriorate the serviceability of the beams. The current criteria concerning the chloride content at the level of the reinforcement of the concrete beams and the maximum width of the corrosion-induced cracks appear to be very conservative.     

钢筋混凝土梁裂缝分型试验研究及统计分析

通过20根钢筋混凝土简支梁的试验,研究了纵向受拉钢筋和混凝土保护层厚度对裂缝分布形态的影响规律。根据各条裂缝的产生机理、延伸发展的特征和宽度变化规律,提出了钢筋混凝土梁的裂缝分型统计分析原则,确定了结构设计中裂缝宽度验算对应的裂缝形态特征,提出了以截面高度和纵向受拉钢筋直径为变量的纵向受拉钢筋有效影响区即有效受拉截面面积的计算方法,进行了平均裂缝间距、平均裂缝宽度及裂缝宽度扩大系数分布规律的统计分析。     

氯盐环境下锈蚀预应力混凝土梁抗弯性能试验

为探讨氯盐环境下锈蚀预应力混凝土梁的抗弯性能,制作了5根先张预应力混凝土梁,采用电化学法分别对其进行了0 d、7 d、14 d、28 d及42 d的快速腐蚀,随后进行了四点弯曲试验。研究了不同锈蚀程度对预应力混凝土梁自振频率、钢绞线滑移、结构变形、弯曲开裂、破坏模式及极限承载力等性能的影响。结果表明:氯盐环境下锈蚀对预应力混凝土梁高阶频率影响较小,导致一阶频率逐渐增大,28 d后锈蚀裂缝较大且局部混凝土脱落,一阶频率迅速减小;轻微腐蚀对预应力混凝土梁的抗弯性能影响较小,腐蚀程度增大,抗弯性能明显降低,腐蚀42 d后,极限挠度减小了18.7%,抗弯承载力减小了17.3%,延性降低了19%;锈蚀钢绞线与混凝土间滑移速率增大,极限滑移值由5 μm增加至11.4 μm;钢筋锈蚀对弯曲裂缝高度发展的影响不大,但促进了裂缝宽度的扩展,结构屈服后,底部裂缝开裂速率由0.0062 mm/kN增加至0.0252 mm/kN。在试验研究基础上,采用有限元软件ANSYS对各锈蚀梁的受载全过程进行了有限元模拟计算,极限荷载和钢绞线滑移量的模拟值与实测值误差分别小于5%和10%,吻合较好。