Residual Strength and Deformation Recovery of RC Beams Strengthened with FRPs Plates under the Sustained Load

Abstract

In this paper, in order to estimate efficacy, creep recovery, and residual strength of Fiber Reinforced Polymers (FRPs) strengthened Reinforced Concrete (RC) beams, long-term flexural experiments and static flexural experiments were carried out. For the long-term experiments, the beams were strengthened with a Carbon Fiber Reinforced Polymer (CFRP) plate and a Glass Fiber Reinforced Polymer (GFRP) plate respectively. The beams were placed under sustained loads for about 550 days. After the 550 days, all of the beams were unloaded for the measurement of deformation recovery. The deflection and strains of rebars and FRPs reinforcements were measures for about 60 days. As the result of long-terms experiment, the beams strengthened with CFRP plate showed a better performance in terms of deflection and strains of rebars. And the strengthened RC beams were very effective in terms of deflection control. Furthermore, the strengthened beams have shown immediate deformation recovery. Through the static flexural experiments, it was shown that the CFRP strengthened beam had high residual strength. It seems that the sustained loads did not affect bond and residual strength of the beams.

Keywords

External strengthening method RC members FRPs Sustained loads Long-term flexural experiment CFRP GFRP Deformation recovery Residual strength

1. Introduction

In the recent construction industry, there has been a wide use of Reinforced Concrete (RC) due to its economical and mechanical benefits. Although it has many beneficial characteristics, most of the existing reinforced structures are in need of rehabilitation and strengthening. As steel reinforcements located in the concrete materials undergo corrosion and deterioration, the reinforced concrete structures undergo degradation as well. In order to strengthen the reinforced concrete structures, various strengthening materials and methods have been used. Particularly, external prestressing reinforcement, external bonded reinforcement and near surface mounted reinforcement have widely used. For an application of the external bonded reinforcement and near surface mounted reinforcement, Fiber Reinforced Polymers (FRPs) have been considered to be an innovative material. Thus use of the FRPs has been increased. FRPs have many superior characteristics, such as corrosion resistance, a high tensile strength-to-weight ratio, nonconductivity and design flexibility. Since the FRPs have not only the mechanical superiority but also marketability, worldwide interest in the materials and their application has arisen.

In order to investigate the behavior of the RC beams that had been externally strengthened with FRPs, various researchers have carried out research works. H. Rahimi et al. tested thirty-one RC beams that had been externally strengthened with Carbon Fiber Reinforced Polymers (CFRP), Grass Fiber Reinforced Polymers (GFRP) and steel plates in order to investigate their structural behavior¹. The test variables that were used were the amount of conventional reinforcement, types of reinforcement and the amount of external reinforcement. The RC beams that were strengthened with composite plates showed a high load-carrying capacity of up to 230% over beams that were not strengthened with plates. It was confirmed that the strength and stiffness of the beams increased as the modulus and the amount of external reinforcement increased. For the beams that had been preloaded before external reinforcement, an equivalent performance was indicated.

H. Pham et al. tested eighteen concrete beams in order to investigate failure mechanism and the influence on the beams that were externally strengthened with FRPs². The beams were divided into two groups, one that was retrofitted with 6 layers and one with 2 layers of CFRP. It was proved that the efficacy of FRPs increased with a concurrent increase in bond length and amount of FRPs that was used. Furthermore, it was proved that the concrete cover of the beams did not influence the efficacy of FRPs.

In order to investigate the effectiveness of longitudinal and shear reinforcement, Z. Wu et al. tested six FRPs/concrete hybrid beams that were externally bonded with CFRP/GFRP sheets³. CFRP sheets are axially bonded at the bottom of RC beams and GFRP sheets are directionally wrapped to prevent the debonding of the CFRP sheets. It was proved that the FRPs/concrete hybrid system was effective when used as a flexural member. The debonding of the longitudinal CFRP sheets affected the high load-carrying capacity of the beams.

Unlike the static behavior of the RC beams externally strengthened with FRPs, research works on the beams under sustained loads are extremely rare. In addition, deformation recovery and estimation on the residual strength of the beams should be accompanied with the long-term experiment.

Tan and Saha conducted a study on both analytical and experimental characteristics of the time-dependant deflection of RC beams externally bonded with FRPs⁴. Total nine RC beams were made and experimented under sustained loads for 2 years. Among the nine beams, six beams were externally bonded with glass FRPs. By using the adjusted effective modulus method and the effective modulus method, deflections of the strengthened beams were predicted.

G. Al Chami et al. carried out a series of experiments on the time-dependent behavior of carbon FRPs-strengthened concrete beams⁵. The time-dependant experiments were conducted on twenty-six RC beams which have different reinforcement ratios under various levels of sustained loads. Through the time-dependant experiments, there is no virtually improvement in terms of long-term deflection although FRPs-strengthening is effective to increase the ultimate capacities of the beams.

For the creep recovery of prepacked aggregate concrete, Abu S. M. and Abdul Awal made twelve concrete cylinders and four creep specimens were loaded by sustained loads, which were 40% of the ultimate strength. After 90 days, the specimens were unloaded to measure creep recovery⁶.

In this paper, three RC beams, carbon FRPs-strengthened beam, glass FRPs-strengthened beam and normal RC beam were made. For investigating time-dependant behavior, deformation recovery and residual strength, long-term experiment and static flexural experiment were carried out.

2. Experiment

2.1 Parameters and Dimensions of Specimens

This experiment was carried out on three RC beams, each having a rectangular cross-section of 200 × 300 mm, an entire span of 2700 mm and a loaded span of 2400 mm. A concrete clear cover of 30 mm was kept constant for each beam. Unlike typical beam design, compression rebars were over-reinforced in order to prevent compression failure of the beams. D13 and D10 steel rebars were used for compression and for tension rebars, respectively. D10 steel stirrups were applied at 100 mm spacing along the lengths of the beams. Detail and test setup of the beams were shown in Figure 1 . The parameters considered in this experiment were the types of FRPs. One beam was used as a control beam and two beams were externally strengthened with One CFRP and GFRP plate respectively. The FRPs plates were bonded underneath the beams in 2160 mm lengths assuming the effective span length of 90%. The parameters of the long-term experiment are listed in Table 1 .

Table 1
Parameters of the specimens

Name of beams (specimen) Type of FRPs Amount of FRPs Strengthening length

SNF – – –

LCS CFRP 1 Plate 2160mm

LGS GFRP 1 Plate 2160mm

Name of beams (specimen)	Type of FRPs	Amount of FRPs	Strengthening length
SNF	–	–	–
LCS	CFRP	1 Plate	2160mm
LGS	GFRP	1 Plate	2160mm

Figure 1

Detail and test setup of the specimens

2.2 Material Properties

For the 28-day compressive strength of the concrete, standard cylinder compressive tests were undertaken. The size of the concrete cylinders was 100 × 200 mm. The cylinder compressive strength of the concrete that was used for the beams was taken as the measured average of three compressive strength tests. 10 mm diameter compression rebars and tension rebars, and 10 mm diameter stirrups were used for the beams. Tensile tests were undertaken to obtain the yield strength and Modulus of elasticity. One-way CFRP and GFRP plates were bonded to the beams. Table 2 lists the material properties of concrete, steel reinforcement and FRPs.

Table 2
Material properties of the specimens

Type of material Specified concrete strength (MPa) Compressive strength (Mpa) Yield strength (MPa) Tensile strength (MPa) Modulus of elasticity (MPa) Width (mm) Thickness (mm)

Concrete 24 25.7 – – 2.16×10⁴ – –

Steel D10 – – 457.2 766.3 2.01 × 10⁵ – –

D13 – – 466.2 679.3 2.11 × 10⁵ – –

FRPs CFRP – – – 3000 1.65×10⁵ 50 1.2

GFRP – – – 1000 4.00×10⁴ 50 1.2

Type of material	Specified concrete strength (MPa)	Compressive strength (Mpa)	Yield strength (MPa)	Tensile strength (MPa)	Modulus of elasticity (MPa)	Width (mm)	Thickness (mm)
Concrete	24	25.7	–	–	2.16×10⁴	–	–
Steel	D10	–	–	457.2	766.3	2.01 × 10⁵	–	–
D13	–	–	466.2	679.3	2.11 × 10⁵	–	–
FRPs	CFRP	–	–	–	3000	1.65×10⁵	50	1.2
GFRP	–	–	–	1000	4.00×10⁴	50	1.2

2.3 Experiment Setup

In order to investigate the long-term behavior of the beams strengthened with CFRP and GFRP plates, all of the beams were loaded by a sustained load of 25 kN for about 550 days. For the measurement of strains, a series of strain gauges were bonded to rebars and FRPs plates. One dial gauge was installed at the mid-span to measure the deflection of the beams. The strains and deflections of the beams were obtained by using a data logger every day. The location of the gauges was shown in Figure 1 .

After about 550 days, all of the beams were unloaded. In order to figure out the characteristics of deformation recovery of the beams, the strains and deflections were measured for about 60 days in the same way.

To estimate the residual strength of the beams, static flexural experiments were carried out. By using a 1,000 kN Universal Testing Machine (UTM), each beam was loaded at the rate of 1mm/min in the four-point bending as the long-term experiment. Two Linear Variable Displacement Transducers (LVDTs) were located at the mid-span of the beams. Through an EDX-1500A data logger, the strains and deflections were recorded.

Generally, RC beams strengthened with FRPs plates are disposed in the natural environment in which temperature changes over time. In this experiment, in order to take into account a temperature change corresponding to the atmospheric environment also, specimens were exposed to the outside environment. Figure 2 shows the long-term temperature change.

Figure 2

Long-term temperature change

3. Result and Discussion

3.1 Long-Term Experiments

All of the beams were loaded by 25 kN. In terms of the immediate deflection, the beams that were strengthened with CFRP and GFRP plates showed less deflection than that for the control beam, SNF. In particular, LCS, the beam with CFRP plate, showed the least immediate deflection compared with the other beams. The deflection of LCS was about 35% less than that of SNF. Thus it can be said that the beams externally strengthened with FRPs are superior to non-strengthened beam in terms of serviceability.

For about 550 days, the beams were located under the sustained load of 25 kN. On the whole, it was indicated that LCS showed better time-dependant performance than the other beams did. As shown in Figure 3 , deflection of SNF began to converge after about 200 days. For the strengthened beams, LCS and LGS, However, deflections of the strengthened beams, LCS and LGS increased constantly during the duration of time although they seemed to converge after about 170 days.

Figure 3

Long-term deflections at mid-span

Comparing the total deflections on the last day of the long-term experiment, LGS and LCS showed 0.4% and 14% less deflections respectively than SNF did. For the time-dependant deflection, which is total deflection minus immediate deflection, no significant increase in the time-dependant performance was indicated between SNF and LGS. It seems that the GFRP plate did not contribute to the deflection control because its modulus of elasticity is lower than that of steel rebar.

Figure 4 shows changes in strains of tension rebars with the duration of time. For the immediate strains of tension rebars, the LCS indicated about 63% less strain than that of SNF. However, In terms of the time-dependant strain, which is excluding the immediate strain, three beams showed very similar performance. It can be said that the CFRP plate is very effective in resisting the tension force under the service load but FRPs are not so effective against a sustained load.

Figure 4

Tension strains at mid-span

As shown in Figure 5 , LCS and LGS showed strains of compression rebars that were about 22% and 35% less than those of SNF respectively. LCS showed about a 17% higher value than that of LGS. For the total strain change, LCS showed about a 10% higher value than SNF.

Figure 5

Compression strains at mid-span

There were not so significant differences in compression strains, between LCS and LGS. The reason why the strains of strengthened beams were higher than those of non-strengthened beams seems to be a role of FRPs. Since tension force of the strengthened beams was partially taken by FRPs, relatively small portion of the tension force may cause relatively small amount of compression force. The small amount of compression force may be transferred to the compression rebar to maintain equilibrium condition.

Overall, the LCS showed less strain of FRPs than LGS. For immediate strain of FRPs, LCS showed about 51% less strain than LGS. In comparison of time-dependant strain, which excludes the immediate strain, LCS showed about 10% less strain than LGS. The strains of FRPs tend to decrease after 180 days and increase after 300 days. It is due to the change in temperature. The strains of FRPs with duration of time were shown in Figure 6 .

Figure 6

FRPs strains at mid-span

3.2 Residual Strength and Failure Mode

In order to investigate the residual strength of the beams strengthened with FRPs, a static flexural experiment was carried out. Load-deflection curves of the beams are shown in Figure 7 . As shown in the figure, the strengthened beams, LCS and LGS, were failed due to delamination. It appeared that the strengthened beams, LCS and LGS, had 21% and 7% higher load-carrying capacity than SNF did respectively. In addition, LCS had 15% higher load-carrying capacity than LGS did. Because of the materials characteristics of FRPs, LCS which was externally strengthened with CFRP plate showed a better performance even though it showed a very brittle behavior. However, the beam with GFRP plate showed relatively ductile behavior.

Figure 7

Load-deflection relationships

Figure 8 shows load-strain curves of CFRP plate and GFRP plate. Since the sustained load of 25 kN was in the elastic range, the load of 25 kN would not have an influence on the overall behaviors of the beams. Besides, an initial stiffness of the beams showed quite linear elastic behaviour⁷. Because the sustained load was greater than a cracking load, concrete cracks already occurred. Thus, tension rebars resisted tension forces without a contribution of concrete.

Figure 8

Load-strain relationships of FRPs

Strains of FRPs along the distance from mid-span were shown in Figures 9 and 10. As shown in the figures, delamination of CFRP occurred at a strain of 3743 mm. The strain was only 19% of the ultimate strain of CFRP plate. Thus, it can be said that full capacity of CFRP plate was not achieved through the external strengthening method.

Figure 9

Strain-distance relationships of CFRP plate

Figure 10

Strain-distance relationships of GFRP plate

In case of GFRP plate, full capacity of GFRP plate was not achieved either since the strain was 6236 μm when delamination of GFRP occurred. The strain of delamination was only 25% of the ultimate strain of CFRP plate. It was estimated that an increase in load-carrying capacity was influenced by not only high modulus of elasticity of FRPs but also bond characteristic. Generally, delamination is caused by shear stress.

Figures 11 and 12 shows the failure mode of FRPs plate. As shown in the Figures 11 and 12, a large interfacial stress was initiated from the mid-span and the delamination was propagated long the end of the plates.

Figure 11

Failure mode of CFRP plate

Figure 12

Failure mode of GFRP plate

3.3 Deformation Recovery

For the deformation recovery experiment, all the beams were unloaded after about 550 days. The strains and deflections were measured for about 60 days. In general, when a sustained load is removed, a certain amount of deformation is recovered immediately. The deformation is called immediate recovery of deformation. Table 3 shows the comparison of immediate deformation and immediate recovery of deformation. When the ratio of immediate deformation to immediate recovery of deformation is greater than 1, it means that the amount of the immediate deformation is greater than that of the immediate recovery of deformation. Unlike SNF, the strengthened beams show the ratios less than 1. The ratios of immediate strain of FRPs to immediate recovery of FRPs seem to be resulted from the FRPs bonded to the bottom of the beams. In comparison of a net deformation recovery, excluding immediate recovery, the beams which had the most long-term deformation showed the most deformation recovery. Among SNF, LCS and LGS, SNF showed the most deformation recovery. On the other hand, LCS had the least deformation recovery. Thus, it can be said that deformation recovery is proportionate to long-term deformation.

Table 3
Comparison of immediate deformation with immediate recovery of deformation

Name of beams Immediate deflection (mm)① Immediate recovery of defection (mm)② ①/②

SNF 1.642 1.445 1.136

LCS 1.020 1.124 0.907

LGS 1.070 1.226 0.873

Name of beams Immediate strain of tension rebar (μm)① Immediate recovery of tension rebar (μm)② ①/②

SNF 710 815 0.971

LCS 269 431 0.624

LGS 614 774 0.793

Name of beams Immediate strain of compression rebar (μm)① Immediate recovery of compression rebar (μm)② ①/②

SNF -160 -95 1.684

LCS -125 -142 0.880

LGS -104 -140 0.743

Name of beams Immediate strain of FRPs (μm)① Immediate recovery of FRPs (μm)② ①/②

SNF – – –

LCS 305 553 0.572

LGS 617 813 0.759

Name of beams	Immediate deflection (mm)①	Immediate recovery of defection (mm)②	①/②
SNF	1.642	1.445	1.136
LCS	1.020	1.124	0.907
LGS	1.070	1.226	0.873

Name of beams	Immediate strain of tension rebar (μm)①	Immediate recovery of tension rebar (μm)②	①/②
SNF	710	815	0.971
LCS	269	431	0.624
LGS	614	774	0.793

Name of beams	Immediate strain of compression rebar (μm)①	Immediate recovery of compression rebar (μm)②	①/②
SNF	-160	-95	1.684
LCS	-125	-142	0.880
LGS	-104	-140	0.743

Name of beams	Immediate strain of FRPs (μm)①	Immediate recovery of FRPs (μm)②	①/②
SNF	–	–	–
LCS	305	553	0.572
LGS	617	813	0.759

3.4 Cracking Pattern

When the sustained load of 25 kN was applied, 4 to 5 cracks were indicated from each beam. For SNF, a crack was propagated up to 20 cm. For LCS, a crack of 10cm length was indicated on the first day of the long-term experiment, and the crack was propagated up to 13 cm on the second day. Figure 13 shows cracking patterns of the beams. As shown is Figure 13 , the cracks marked 30 represent the cracks which were indicated at 30 days. Unmarked cracks represent the cracks, which were indicated on the last day. In terms of the numbers of cracks, all of the beams had 20 cracks respectively. However, a different crack growth was observed from LCS. The cracks of LCS were propagated up to 18 cm, whereas SNF and LGS had cracks which propagated up to 21 cm and 23 cm. It seems to be due to the relatively low modulus of GFRP plate. Since the GFRP plate was not able to resist enough tension force, tension rebars would govern the behavior of the beam strengthen with GFRP plate.

Figure 13

Cracking patterns

4. Conclusions

Through the long-term experiment, deformation recovery and residual strength experiment, the following conclusions were reached.

The beam with CFRP plate showed a better performance in terms of long-term behavior. Although the strengthening materials were very effective in resisting immediate load, they did not affect the long-term deformation.

Strengthening materials, CFRP and GFRP plate, have an influence not on the numbers of cracks but on the growth of the cracks.

There was a correlation between long-term deformation and deformation recovery. It can be said that deformation recovery is proportionate to long-term deformation.

Even though all of the beams were loaded by a sustained load of 25 kN, the beam strengthened with CFRP plate showed the most load-carrying capacity.

Footnotes

Acknowledgment

This study was supported by Research Fund of Research Fund of National Research Foundation of Korea (NRF) - 2015R1C1A1A02036540. The authors gratefully acknowledge this support.

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