Research Article  Open Access
Kun Wang, Huihui Luo, "Test on Hysteretic Behaviour of Prestressed Composite Joints with ConcreteEncased CFST Columns", Advances in Civil Engineering, vol. 2019, Article ID 4523045, 13 pages, 2019. https://doi.org/10.1155/2019/4523045
Test on Hysteretic Behaviour of Prestressed Composite Joints with ConcreteEncased CFST Columns
Abstract
Four composite joint specimens consisted of concreteencased steel beams and concreteencased concretefilled steel tube (CFST) columns were tested under lateral cyclic loading, in which three specimens were prestressed and the other was not. In the tests, crack distributions and failure modes of the joint specimens were acquired, and the energy dissipation, rigidity degeneration, ductility, and residential deformation were investigated. Meanwhile, the strain variation of longitudinal rebars and Isteel flanges at beam ends as well as steel tubes in panel zones were analysed. The experimental results showed that a type of mixed mode consisting of shear failure in the panel zone and flexural failure at beam ends was found for three prestressed joint specimens, whilst only flexural failure at beam ends was observed for the nonprestressed one, and all joint specimens showed good hysteretic behaviour. In addition, as can be seen from the skeleton curves, the lateral peak loads of prestressed joint specimens could be enhanced to some extent by increasing the prestressing level, and the axial compression ratio had little effect on lateral loads; meanwhile, the ductility and energy dissipation for prestressed joint specimens also could be reduced by increasing the prestressing level and axial compression ratio.
1. Introduction
Prestressed concreteencased steel frames combined the advantages of concreteencased steel frames and prestressed reinforced concrete frames, such as higher sectional bearing capacities, preferable ductility, better energy dissipation, and smaller deflection and crack widths; thus, they have been extensively studied and utilized in China in recent years [1–5].
In general, Hsteels or Isteels are used in beams, and two crossed Hsteels are welded together in columns for prestressed concreteencased steel frames. However, engineering practices indicate that the prestressing tendons in beams are likely to run through the flanges of Hsteels in the panel zones, which results in complex connection details; in addition, the shear capacities in panel zones could be decreased by the prestressing ducts. Therefore, an innovative prestressed composite frame was proposed, as shown in Figure 1, in which the conventional composite columns were replaced by concreteencased concrete filled steel tube (CFST) columns [6]. In previous work, two composite frame specimens with concreteencased CFST columns were tested and analysed, and the results showed that the innovative prestressed composite frames showed good seismic performance [7].
Concreteencased CFST columns are innovative components based on CFST columns. At present, amounts of test and numerical analysis on CFST members have been reported [8–12], which showed high bearing capacity, high stiffness, and good seismic performance. When compared with CFST columns, concreteencased CFST columns can not only avoid complicated treatment for corrosion and fire prevention but also have the advantage for the steel tube to pass through the frame joints easily. Han and An [13] studied the performance of concreteencased CFST columns under axial compression by tests, and three types of simplified ultimate strength formulae were built. An and Han [14] and Guo et al. [15] conducted tests on concreteencased CFST columns under combined compression and bending, and the crosssectional bending capacity formulae were proposed, respectively. Han et al. [16] tested nine concreteencased CFST columns under constant axial load and cyclically increasing flexural loading and pointed out that the columns exhibited good energy dissipation and ductility. Qian et al. [17] built a hysteretic model of momentcurvature curves for concreteencased CFST columns subject to lateral loading by tests and finite element analysis. In addition, Ji et al. [18, 19] tested the hysteretic behaviour and cumulative seismic damage of concreteencased CFST columns, and the strength capacity design formulae were developed by the superposition method.
For composite beams, Liu et al. [20] studied the flexural strength of simply supported steelconcrete composite beams by tests and numerical analysis; Wang et al. [21] proposed bending capacity formulae for the prestressed concreteencased steel beams according to the tests; Huang et al. [22] investigated the behaviour of prestressed CFST truss girders and found out that flexural strength and the failure modes of the girders were influenced by prestressing levels and shear spantodepth ratios; Kim et al. [23, 24] tested the flexural performance of prestressed composite beams with corrugated web and introduced a flexural behaviour mechanical model; otherwise, Choy et al. [25], Yao et al. [26], and Wang et al. [27] tested the shear performance of prestressed concreteencased steel beams, respectively, and the contributions of concrete and embedded Hsteels were fully discussed.
For composite joints, Li et al. [28] tested the seismic performance of two kinds of CFST columnRC beam joints that are connected by vertical or Ushaped steel plates and studs and bending capacity of joints increased compared to the RC joints; Qian and Jiang [29] tested the joints consisting of reinforced concrete beams and concreteencased CFST columns under cyclic loading, and it is observed that the energy dissipation capacity could be enhanced and the shear deformation could be decreased when the stirrup spacing reduced in the panel zones for weak joints; Liao et al. [30] and Nie et al. [31] pointed out that the composite joints consisting of reinforced concrete beams and concreteencased CFST columns with the outer stiffening ring also showed good hysteretic behaviour; Qian et al. [32] investigated the mechanical mechanism of composite joints consisting of steel beams and concreteencased CFST columns by validated numerical model, and it is found that the positive and negative capacities of the spatial joints under bidirectional loading were about 14% and 18% lower than those of the planar joints; additionally, Deng et al. [33] experimentally studied the crack development and rigidity of joints consisting of prestressed reinforced concrete beams and concreteencased CFST columns. Although a number of tests and analysis on composite joints with concreteencased CFST columns have been performed, so far seismic performance and design approaches for the proposed innovative prestressed composite joints have not been reported.
Therefore, in order to study the seismic behaviour of the proposed prestressed composite joints, three prestressed interior joint specimens and a nonprestressed one were made and tested under lateral cyclic loading. During the tests, the crack development and failure modes were observed, and rigidity degeneration, deformation restoring capacity, ductility, energy dissipation, shear deformation, and strain variations were analysed. The testing results could provide a basis for promoting the application of such frame structures in seismic zones.
2. Experimental Programs
2.1. Test Specimens
In recent research, Montuori et al. [34, 35] found that slab, joist, and desk have important effect on lateral stiffness under gravity and horizontal loads for RC buildings, and the equivalent beam approach was proposed for calculation. However, in order to simplify the joint design scheme in the tests, the foregoing effects were not considered. The inflection points of beams and columns in a frame are assumed to occur at the midpoint when subjected to lateral loads [36], and four composite frame interior joint specimens with concreteencased CFST columns were designed and denoted as S1 to S4, in which the specimens S1∼S3 were prestressed and S4 was not. The configuration of four joint specimens is shown in Figure 2. All specimens had the same cross section with the size of 300 mm × 350 mm for beams and 350 mm × 350 mm for columns. In addition, Isteels of 22a with a size of 220 mm × 110 mm × 7.5 mm × 12.3 mm and circular steel tubes of 108 mm × 8 mm were arranged inside the beams and columns, respectively; two inner diaphragms with the thickness of 11 mm were used to strengthen the connection of Isteels and steel tube in the panel zone for each specimen according to the Chinese Specification JGJ32010 [37].
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(b)
In the actual practice, the prestressing tendons were applied in the form of threesegment parabola in beams, which run through the joint from the upper sides at beam ends. For the convenience of specimen making and later analysis, the prestressing tendons were arranged in straight lines with the bond posttensioned technique, which pass through the joint from the two sides of steel tubes. The prestressing tendons with nominal diameters of 12.7 mm and 15.2 mm were adopted in the beams, and the ducts were grouted after tension. During the tensioning, the strains of the tendons were measured by calibrated selfmade force transducers. The measured effective prestress of tendons for specimens S1, S2, and S3 was 1268 MPa, 1214 MPa, and 1221 MPa, respectively.
All joint specimens were designed in accordance with the criterions of “strong column weak beam” and “strong shear weak bending,” and the major parameters involving axial compression ratio (n_{0}) and prestressing level (λ) are listed in Table 1.

According to [18], the axial compression ratio (n_{0}) is given as follows:where N is the vertical load applied on top of columns; f_{co} and f_{ci} are the axial compressive strength of concrete in the outer and inner steel tube, respectively; A_{co} and A_{ci} are the crosssectional area of concrete in the outer and inner steel tube, respectively; and ξ is the confinement index of the CFST core.
Neglecting the contribution of Isteel web, the prestressing level (λ) could be calculated by using the following equation:where A_{p}, A_{ss}, and A_{s} are the crosssectional area for tendons, tensile flange of Isteel, and tensile longitudinal rebars in beam, respectively; f_{py}, f_{ss}, and f_{y} are the tensile yielding strength for tendons, Isteel, and tensile longitudinal rebars; and h_{p}, h_{ss}, and h_{s} are the distance from centroid of tendons, tensile flange of Isteel, and tensile longitudinal rebars to extreme compressive fibre, respectively.
The other related design parameters, such as vertical load (N) on top of columns, amount of tendons, and the summations of moments ( and ) at beams and columns ends, are also listed in Table 1.
2.2. Material Properties
All specimens were poured and cured by the same batch of concrete with a strength grade of C40, and several concrete test cubes of 100 mm × 100 mm × 100 mm were reserved to obtain the compressive strength in the same conditions. By mean of the material mechanical property tests, the average concrete cubic compressive strength (f_{cu}) is 46.1 MPa, and the average axial compressive strength (f_{c}) and elastic modulus (E_{c}) are calculated as 35.0 MPa and 3.39 × 104 MPa based on GB/T 501522012 [38], respectively.
In the specimens, the grade of Isteels, steel diaphragms, and steel tubes is Q235, and the grade of longitudinal rebars and stirrups is HRB400. The mechanical properties of steels by tests are given in Table 2.

2.3. Testing Setup and Measurements
In order to simulate the hysteretic behaviour of frame joints well under earthquake action, displacement loading at top of the upper column was adopted by an MTS actuator in the tests, and a general view of test setup was illustrated in Figure 3. In the test setup, two sliding bearings were used to support the beam cantilevered ends far from columns, in which only lateral movement and rotation were permitted, and a fixed hinge bearing was used to support the bottom of the lower column. Additionally, a selfbalancing apparatus was used to impose the vertical load on the top of the upper column, which consisted of a hydraulic jack, four highstrength steel rods, and two welded rigid steel plates. The horizontal length between the centres of two sliding bearings was 3550 mm, and the vertical distance from lateral loading point to the fixed hinge bearing centre was 1750 mm.
During the loading, the vertical load (N) was firstly imposed to 30% of the predetermined value and then unloaded to zero; after that, the vertical load reached the predetermined value again and was kept constant. The lateral load () by displacement control was applied at the top of column according to ANSI/AISC 34105 [39], and the loading history was listed in Table 3, where the lateral displacements were calculated by interstory drift ratios. When the lateral load dropped to 85% of the peak load or the lateral displacement reached a large value which was not suitable for loading, the lateral loading aborted.

2.4. Measurements
In order to study strain variations and obtain the mechanical mechanism of specimens, strain gauges were fixed on Isteel flanges, longitudinal rebars at beam and column ends and on stirrups in panel zones, and five strain rosettes were mounted on steel tubes in panel zones. The measuring point arrangement was given in Figure 4. Additionally, two intersecting potentiometers were fixed in the panel zone to obtain the shear deformation.
The main measurements include (1) the loaddisplacement (Δ) curves subjected to lateral cyclic loading, (2) the crack distribution and the failure modes, (3) the strain variations of Isteel flanges, longitudinal rebars, stirrups, and steel tubes, and (4) shear deformation of panel zones.
3. Testing Procedures
3.1. Experimental Observations
The testing of specimens under lateral cyclic loading was well performed. For the convenience of describing the experimental observation, forward loading was appointed as the right direction. The whole loading process could be described as follows:(1)The observation of specimens S1 and S3 was almost analogous. When the displacement reached ±6.6 mm, several vertical flexural cracks with a width of about 0.03 mm and length of about 150 mm were found on the lower sides at two beam ends which were closed to columns, and no cracks were found on the upper sides; after that, new flexural cracks occurred on beams and existing cracks propagated. When the displacement increased to ±13.1 mm, two crossing inclined cracks with a width of about 0.1 mm formed in the panel zone, and some new vertical cracks appeared on the upper sides of beams. With the lateral displacement increased to ±26.3 mm, the concrete was slightly crushed on top and bottom of beam ends, and some new short inclined cracks appeared in the panel zone. As the lateral displacement increased to ±52.5 mm, the concrete in the panel zone peeled off and several crossing cracks propagated to columns, whilst the lateral load reached the peak value and the crushing concrete at beam ends got worse. Since then, the damage of concrete in the panel zone enhanced due to the increase of shear deformation. When the lateral displacement reached ±105 mm, the damage of concrete in the panel zone was very serious, and the lateral load dropped to 85% of the peak value.(2)For specimen S2, when the lateral displacement was ±6.6 mm, several vertical flexural cracks occurred on lower sides at beam ends, and two crossing cracks were found in the panel zone at the displacement of ±8.8 mm subsequently. When the displacement reached ±13.1 mm, some flexural cracks were found on the upper sides at beam ends. With the increase of lateral displacements, the concrete at two beam ends was slightly crushed at the displacement of ±26.3 mm, and the concrete in the panel zone began to spall at the displacement of ±35.0 mm. When the lateral displacement increased to ±52.5 mm, the damage of concrete in the panel zone was aggravated, and the concrete at beam ends began to peel off. When the displacement reached ±105 mm, the concrete in the panel zone spalled seriously and the specimen S2 failed.(3)The representation of specimen S4 was distinct from that of prestressed ones. When the lateral displacement was ±6.6 mm, vertical flexural cracks were found on both of upper and lower sides at beam ends simultaneously, and as the displacement increased to ±8.8 mm, the crossing cracks formed in the panel zone. When the lateral displacement reached ±26.3 mm, slightly concrete crushing was observed at beam ends. With the increase of lateral displacement, the concrete crushing at beam ends was aggravated and some vertical flexural cracks run through the beam sections. Additionally, several new crossing cracks occurred in the panel zone. Finally, the specimen S4 failed at the displacement of ±87.5 mm in the second displacement cycle, and no concrete crushing in panel zone was found.
3.2. Crack Distributions and Failure Modes
The final crack distributions of all specimens are illustrated in Figure 5, which include flexural cracks at beam ends and crossing cracks in panel zones. With the increase of displacements, it is observed that the vertical flexural cracks first appeared at beam ends and propagated to the beam axis showing a trend of penetration and then crossing cracks appeared in the panel zone. Due to the prestressing effect, the cracks at beam ends were postponed to occur until the displacement increased to ±13.1 mm for specimens S1∼S3, and these cracks were asymmetric relative to the beam axis; for specimen S4 without prestressing, cracks first occurred at the displacement of ±6.6 mm at beam ends, and cracks on beam developed symmetrically. After yielding for all specimens, cracks on the beams far from columns stopped propagating, and the concrete at beam ends was crushed to peel off gradually. In addition, a few slight horizontal and inclined cracks were observed on two columns.
(a)
(b)
(c)
(d)
Under the cyclic loading, the concrete on upper and lower sides of two beam ends was slightly crushed when the lateral displacement reached ±26.3 mm, which signified that the flexural bearing capacities for beams were reached, whilst no evident concrete crushing was found in the panel zones at this time. Since the concreteencased steel beams showed good ductility and basically kept the flexural bearing capacities after concrete crushing, the shear deformation and crossing crack widths in panel zones continued to increase with the increasing rotation of plastic hinges at beam ends. When lateral loads reached peak values, shear failure in panel zones with concrete crushing was observed for specimens S1, S2, and S3. However, due to the comparatively lower bending capacity of beams, only flexural failure at beam ends was acquired for specimen S4. The failure modes of all specimens are illustrated in Figure 6.
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(b)
(c)
(d)
As can be seen from the loading process, the failure mode for specimens S1, S2, and S3 was a mixed pattern, which consisted of initial flexural failure at beam ends and subsequent shear failure in the panel zone; whilst only flexural failure was found at beam ends for specimen S4. The reason for mixed failure was that the bending moment at beam ends was almost unchanged, and the distance between the points of sectional tensile and compressive resultant forces reduced by concrete crushing at beam ends; thus, the resultant forces enhanced, which were transmitted into joints and led to an increase of shear forces in panel zones.
4. Test Results and Analysis
4.1. Lateral LoadDisplacement Hysteretic and Skeleton Curves
Figure 7 shows the lateral loaddisplacement hysteretic curves for all specimens. As can be seen, the hysteretic curves followed a straight line in the initial phase, which means that the specimens were in the elastic stage. After yielding, the areas of the hysteretic loops increased gradually showing spindle shapes, and some residual deformation were observed after unloading; after the peak value, the lateral loads decreased slowly with the increase of lateral displacements, which showed good ductility. In an overall view, since the hysteretic curves were plump without obvious pinching, all joint specimens presented good seismic performance.
(a)
(b)
(c)
(d)
Skeleton curves could be used to reflect the characteristics of lateral loads and ductility, which are significant for determining the hysteretic models. Figure 8 gives the skeleton curves of all joint specimens. It shows that the lateral loads slightly improved and ductility decreased when the prestressing level increased from 0.39 to 0.50 by contrasting specimen S1 with S3. With an increase in axial compression ratio from 0.14 to 0.29 for specimens S2 and S3, the lateral loads were almost the same, but the ductility reduced to a certain degree. It should be noted that the lateral peak load of specimen S4 was the lowest, and the reason for this was that only bending failure occurred at two beam ends. In addition, the descending branches of skeleton curves for all specimens were more gradual, which showed preferable ductility.
4.2. Energy Dissipation
Energy dissipation capacity is one of the most important indices to estimate the seismic behaviour of joint specimens. The relation between energy dissipation coefficient (E_{d}) and lateral displacement (Δ) is shown in Figure 9. Due to the fact that the plastic hinges at two beam ends developed fully, the energy dissipation capacity for specimen S4 was evidently higher than the others after yielding. However, the energy dissipation coefficients for specimens S1 and S3 with different prestressing levels were quite close to each other, which means that the prestressing level had a limited effect on energy dissipation. As the axial compression ratio increased from 0.14 to 0.29 for specimens S2 and S3 subject to the same prestressing level, the energy dissipation capacities of specimens enhanced significantly.
4.3. Rigidity Degradation
Figure 10 gives the loop rigidity coefficient (K) versus lateral displacement (Δ) curves for all specimens in forward and backward directions. It was observed that the loop rigidity coefficients reduced as the lateral displacement increased, and the rigidity degradation curves of prestressed joint specimens were quite close; however, the loop rigidity coefficients of specimen S4 were lower than that of prestressed ones at each cycle after yielding, which was due to the distinct failure modes.
4.4. Deformation Restoring Capacity
Figure 11 shows the relationship of residual deformation ratios (Δ_{0}/Δ_{m}) and lateral displacements (Δ) for all specimens, where Δ_{m} is the experienced maximum lateral displacement at each cycle and Δ_{0} is the corresponding residual deformation after unloading. It is found that the residual deformation ratios of specimen S4 were greater than the others at each cycle after yielding in two directions, which was due to the fact that larger residual deformation generated by sufficiently developed plastic hinges at beam ends.
In addition, it was observed that the residual deformation ratios of specimen S3 were smaller than that of S1, and the ratios of specimen S2 were lower than that of S3 after the elastic stage in forward loading, which means that the residual deformation could decrease by increasing the prestressing levels or by reducing the axial compressive ratios, respectively. In the reversed direction, the values of residual deformation ratios for specimens S1, S2, and S3 were almost equal, and this could be attributed to the Bauschinger effect of the embedded Isteels and steel tubes.
4.5. Ductility
Displacement ductility factor (μ = Δ_{u}/Δ_{y}) could be used to evaluate the ductility performance for joint specimens, where Δ_{y} is the yielding displacement in skeleton curves and Δ_{u} is the ultimate displacement corresponding to the lateral load dropped to 85% of the peak value. In this paper, the yielding points for skeleton curves were calculated by the general yield moment method [40].
Table 4 listed the yielding loads () and corresponding displacements (Δ_{y}), the peak loads (), the ultimate displacements (Δ_{u}), displacement ductility coefficients (μ), and mean displacement ductility factors () in forward and backward loading for all specimens. It can be seen that displacement ductility coefficients in forward were slightly higher than that in backward, and the mean values in two directions were in the range of 3.84 to 4.23. From the comparison of specimens S1 and S3 as well as that of S2 and S3, the displacement ductility could be reduced by increasing the prestressing levels or the axial compressive ratios. Besides, due to the fact that the damage at beam ends was worse than that in the panel zone and different failure modes were observed compared with prestressed specimens, the displacement ductility for specimen S4 was not the best.

4.6. Shear Deformations in Panel Zones
Table 5 gives the shear deformation in panel zones for all the specimens, where γ_{y} and γ_{p} are the shear deformation at yielding and peak loads, respectively. The following are observed:(1)The ratios of shear deformation under peak load to yield load (γ_{p}/γ_{y}) were in the range of 3.96∼6.05 for specimens S1, S2, and S3, which showed that the shear deformation in panel zones developed sufficiently after yielding, and good shear deformation capacities were observed.(2)When the prestressing levels enhanced from 0.39 to 0.50 for specimens S1 and S3, where the increasing amplitude was about 28%, the shear deformation at yielding and peak loads reduced by 22% and 43%, respectively; however, when the axial compressive ratios increased to about two times according to specimens S2 and S3, the shear deformation at yielding and peak loads reduced by 25% and 51%, respectively, which indicated that the prestressing level played a more dominant role than axial compressive ratios in reducing the shear deformation.(3)Compared with prestressed joint specimens, the shear deformations at yielding and peak loads for specimen S4 were the highest and smallest values, respectively. The reason for this was that the shear deformation mostly concentrated in the panel zone due to the lack of prestressing before yielding, and after that, the plastic hinges at beam ends were fully developed to bending failure; thus, the shear deformation in panel zones had no significant growth.

4.7. Strain Analysis
In order to study the strain variations of Isteels, steel tubes, longitudinal rebars, and stirrups, strains of the measuring points for all specimens were obtained in tests, and relationships of lateral loads and strains were plotted. Since the strain changes were basically the same for prestressing specimens, some strains of typical measuring points were analysed in this paper.
The strain changes of stirrups and steel tube in the panel zone at measuring points 18 and 19 for specimen S1 are given in Figure 12. As can be seen from Figure 12(a), the stirrups eventually reached tensile yielding, which means that the stirrups were able to bear a portion of shear force in the panel zone. The shear strains of steel tube shown in Figure 12(b) were obtain by the fixed strain rosettes at measuring point 19, and it was observed that the shear strains were in line before yielding, and a certain degree of pinching was found as the lateral loading increased after that.
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(b)
Figure 13 gives the strains changes of longitudinal rebar and Isteel flange at measuring points 5 and 30 for specimen S2, which were in the upper side at the left beam end. It can be seen that the longitudinal rebar and Isteel flange reached yielding under sagging and hogging moments, and the plastic hinges formed at beam ends.
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Figure 14 gives the strain variations of longitudinal rebar and steel tube at upper column ends, where the measuring points 24 and 26 were located on the left and right of the steel tube and measuring point 25 was in the middle. It can be seen that almost all the measuring points were in the compression condition during the whole loading, and no plastic hinges formed at column ends. In particular, it was observed that the strains of the steel tube were almost proportional to lateral loads at the initial period of loading, and the strains increase with the increase of lateral load, in which the measuring points 24 and 26 reached yield. The reason for the yielding of the steel tube was that the yield strength of the steel tube was lower than that of longitudinal rebars, and the outer edges of the steel tube were the first to reach the yield strains. The strain variations of longitudinal rebars and steel tube at the lower column end were analogical. Overall, the test results were consistent with the design objective of “strong column and weak beam.”
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5. Discussion
Since only experimental studies on hysteretic behaviour under different axial compression ratios and prestressing levels were performed, more investigation should be needed in order to propose the design methods for the innovative prestressed composite frame joints. To achieve this objective, numerical models will be established and verified, and mechanical mechanism and parameter analysis will be conducted in further studies.
6. Conclusions
Tests on three prestressed and one nonprestressed interior joint specimens with concreteencased CFST columns were performed under lateral cyclic loading, and the following conclusions were achieved:(1)The lateral loaddisplacement hysteretic curves of all specimens were plump, and it means that joint specimens which were prestressed also showed good ductility and energy dissipation capacity.(2)All prestressed joint specimens represented the mixed modes consisting of flexural failure at beam ends and shear failure in panel zones, whilst only flexural failure at beam ends was observed in the nonprestressed joint.(3)When the prestressing levels increased by 28%, the shear deformations in panel zones at yielding and peak loads decreased by 22% and 43%, respectively; however, when the axial compressive ratios increased by about two times, the corresponding shear deformations were reduced by 25% and 51%, respectively.(4)Enhancing prestressing level could postpone the appearance of first cracks at beam ends and increase the peak loads for prestressed specimens. The axial compression ratio had limited effect on the peak loads, whilst the ductility and energy dissipation capacity could be reduced in some degree as the axial compression ratio increased.
Data Availability
The data used to support the findings of this study are available from the corresponding author upon request.
Conflicts of Interest
The authors declare that they have no conflicts of interest.
Acknowledgments
The authors appreciate the support of National Science Foundation of China (51878589 and 51578478), Six Talent Peaks Project of Jiangsu Province (2017JZ038), Science and Technology Planning Project of Yangzhou City (YZ2018068), and the Talent Project of Excellent Young Teacher of Yangzhou University (2016).
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Copyright © 2019 Kun Wang and Huihui Luo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.