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Article

Force Transfer Mechanism and Behavior Insights for a Large-Diameter CFST Column to Steel Beam Connection

China Construction 8th Engineering Bureau, Shanghai 200120, China
*
Author to whom correspondence should be addressed.
Buildings 2023, 13(12), 2996; https://doi.org/10.3390/buildings13122996
Submission received: 3 November 2023 / Revised: 27 November 2023 / Accepted: 28 November 2023 / Published: 30 November 2023

Abstract

:
Concrete-filled steel tube (CFST) columns with internal ring-plate-reinforced connections are increasingly used in high-rise buildings. However, the behavior and optimal design of such large-scale connections is not well established. This study presents a numerical investigation of the structural performance of a ring-plate-reinforced CFST column to steel beam connection. The paper begins by reviewing a previous experimental study. Subsequently, nonlinear finite element models were developed and validated using the test results. Parametric analyses were conducted to evaluate the effects of the ring plate dimensions, friction coefficient, and concrete defects on the load transfer mechanism. The results showed that the ring plate and friction force together effectively transferred the beam load to the concrete core. An optimal ring plate width of 75 mm was identified. Concrete defects significantly reduced the load carrying capacity of the ring plate. The stress distribution in the concrete cross section transitioned from nonuniform to uniform over a length approximately equal to the column diameter. The connection design was found adequate for the prototype structure analyzed. The study provides valuable guidance for improving ring-plate-reinforced connection design in future construction.

1. Introduction

Closed steel sections are commonly used as structural members due to their superior advantages [1,2,3], including increased stiffness, resistance to torsion, and improved load-carrying capacity compared to open sections. Concrete is sometimes filled inside the closed section. For example, concrete-filled steel tubes (CFSTs) have gained significant popularity in the construction of high-rise buildings due to their unique combination of structural efficiency, durability, and aesthetic appeal. CFSTs are composite structural components that consist of an outer steel tube filled with high-strength concrete. The combination of steel and concrete results in a composite section that efficiently utilizes the high tensile strength of steel and the superior compressive strength of concrete [4,5,6]. This makes CFSTs capable of withstanding high vertical and lateral loads, ensuring the structural stability and integrity of tall buildings [7,8].
One of the critical issues in the design of CFSTs is the connection to the steel beams [9,10]. Typically, reinforced plates are welded at the connection region to facilitate the ease of connecting steel beams and a smooth load transformation. Based on the location of the reinforced plates, there are three reinforcing forms in the CFST column to steel beam connection: external stiffened, internal stiffened, or both, as shown in Figure 1. The external strengthened ring connection is currently the most mature and widely applied type of connection. The working principle of this type of connection is to install strengthened ring-shaped plates at the upper and lower flanges of the steel beam, which are connected to the flanges using equal-strength butt welds or high-strength bolts. The shear force is transferred through vertical rib plates connected to the steel beam web. The external strengthened connection has advantages such as a clear and direct force transfer path, uniform stress distribution in the connection region, high stiffness, good plastic performance, and a high load-bearing capacity. Its main drawback is that the reinforced plate usually protrudes from the column perimeter too much, which affects the architectural aesthetics. The internal strengthened connections have the stiffened plates welded inside the tube, aligning its position with the top and bottom flanges of the steel beam, as shown in Figure 1. This type of connection can overcome the disadvantage of the external strengthened connection. The drawback of the internal strengthened stiffened connection is that it could interfere with pouring concrete inside the tube, and the welding work inside the tube is more complex. In particular, when the tube diameter is small, and the working space is limited, welding becomes extremely challenging.
The reinforced plates have a significant role in the behavior of the connection. Their behavior has been widely investigated. For example, Wang et al. [11] examined the seismic performance of connections between reduced beam section (RBS) steel beams and CFST columns using an external ring connection, and the experimental results demonstrated that RBS connections with an external ring exhibited favorable behavior, including improved energy dissipation compared to weak-column connections. Shin et al. [12] found that connections reinforced with T-stiffeners showed stable hysteretic behavior and good ductility. Numerous studies have been carried out on inner stiffening ring connection. Choi et al. [13] conducted a study on through-ring plate connections, where the inner ring plate penetrates the steel tube in both directions. The study found that the connection performance improved as the thickness of the reinforcement ring increased. Elremaily and Azizinamini [14,15] designed seven connection specimens with inner stiffening rings but without vertical stiffening ribs for an experimental investigation. The results demonstrated that internal strengthening rings effectively improved the connection stiffness. Li [16] investigated the stiffness of an inner ring connection using finite element simulation and revealed that the distance and width between the upper and lower ring plates had a significant influence on the connection stiffness. Zhao et al. [17] designed three connection specimens with inner rings. Two of these specimens were equipped with stiffening rings only at the corresponding lower flange of the beam, while the other one had stiffening rings at both the upper and lower flanges. Experimental tests showed that the connections with two reinforcement rings exhibited a higher load carrying capacity and ductility. Wang [18] conducted an experimental study and finite element analysis on inner stiffening ring connections and suggested that the width of the inner ring plate should be taken as 0.6–0.8 times the width of the beam flange.
The load that is carried by the steel beam is ultimately distributed throughout the cross section of the tube. Initially, the load is transferred to the tube wall of the column, where the steel beam is attached. Through the column, it is transmitted downward to the foundation by the composite action of the steel tube and the concrete core. The transfer of the load is complex at the connection region, with one of the challenges being the bonding strength between the steel tube and the concrete interface [19].
There are various challenges that arise due to the large size of the steel tube and the volume of concrete associated with it. Factors such as concrete shrinkage and creep, as well as the poor compaction of the concrete in the connection region, can all contribute to difficulties in ensuring a reliable bond between the steel tube and the concrete. Additionally, the steel tube often has a thin wall thickness in comparison to its diameter, resulting in a high diameter-to-thickness ratio.
When loads are transferred from the beam to the column, it is important to have sufficient concrete in the vicinity of the connection to effectively share the load-bearing responsibilities. Insufficient concrete participation in load transfer can lead to undesirable effects such as tensile cracking or the compressive buckling deformation of the steel tube wall. As a result, the shear forces from the beam may not be adequately transmitted downward.
Recently in China, the Wuhan Center Tower [20,21], a super high-rise building, was constructed using a tube-frame structural system with outriggers. To provide strength and support, large diameter CFST (3000 mm) columns were utilized as frame columns. Reinforced plates were welded inside the columns at the connecting area of the steel beams. However, due to limited available data on the design of connections involving such large diameter CFST columns, this study aims to evaluate the behavior of these columns. Specifically, the transfer mechanism and the influence of component parameters on the load transfer path and stress distribution of the composite sections are analyzed. The results obtained from both the experimental tests and numerical study are instrumental in guiding the design of similar projects.

2. Review of the Test

Two one-fourth scale beam-to-column connections were created [22]. The connection adopted a reinforced strategy using an internal ring plate. The configuration and size were based on the connections of Wuhan Center Tower. In the test, the research emphasis was on checking the design safety and reasonability of the connections. The configuration details of the connection are reproduced in Figure 2, and their basic information is summarized in Table 1. In the table, the column section is a tube-shaped section defined by its outer diameter × wall thickness. The beam section is an H-shaped section characterized by its dimensions of depth × width × web thickness × flange thickness. The internal ring plate takes the form of a ring with dimensions specified as width × thickness. The bottom of the column was fixed through enough bolts, and the load was applied to the free end of the beam. The length of the steel stub was 400 mm. More detailed information and a similar relationship can be found in the reference [22].

3. Numerical Modeling and Validation

Although the experimental work can provide valuable insights into the behavior of CFST connections, it has limitations in capturing the complete evolution of the component’ response and the load carrying mechanism. To overcome these limitations, researchers often turn to finite element (FE) analysis techniques [23,24,25], which offer a more comprehensive understanding of the connection’s behavior. In this particular study, nonlinear FE analysis was employed to further investigate the force transfer mechanism of the connections tested. FE models using ABAQUS 6.14.4 software were developed, aiming to replicate the behavior observed in the two specimens in the test program. A parametric study was conducted, exploring the influence of critical design parameters on the load distribution, with the aim of facilitating informed decision making and design optimization.

3.1. Description of the Finite Element Model

Figure 3 shows an overview of the FE element model. The column’s bottom end was fixed in the model. A reference point was established at the center of the beam tip’s cross section, with its motion linked to that of the cross section through a “Coupling constraint” in ABAQUS. Vertical displacement was then applied at the beam’s free end using this reference point. Due to the biaxial symmetry of the specimen, a one-fourth model was created, and the symmetry plane was subjected to symmetric constraints. This approach effectively reduced the computational time while preserving the essential characteristics of the connection. All the components were built with solid element C3D8R. The contact between the steel and concrete was face-to-face with hard contact in the normal direction and Coulomb friction in the tangential direction. A friction coefficient of 0.25 was utilized in the contact constraint.
The steel adopted the bilinear kinematic hardening material model, and the tangent modulus was 1% of the elastic modulus. The yield strength of the steel material was determined according to Yan’s test [22]. For the concrete material, the analysis employed the plastic damage plastic model, with a dilatancy angle of 30° and a viscosity coefficient of 0.0003. The remaining parameters were set to the default values in the software. The uniaxial compressive stress–strain relationship of concrete was determined according to the Chinese Concrete Structure Code [26]. The elastic modulus of steel was Es = 206,000 MPa, and the elastic modulus of the concrete was Ec = 27,000 MPa. A finer mesh was employed for the critical region, while a coarser mesh was used for other areas. An element size of 5–10 mm was determined for the finer mesh region through a sensitivity analysis conducted prior to the parametric study.

3.2. Validation

The modeling approach was validated by comparing the numerical prediction with the experimental test results in terms of load–displacement curves and strain response. Figure 4 presents a comparison between the load–displacement curves of the beam end obtained from the experimental test and the finite element simulation. As can be seen from the Figure, during the elastic stage, the finite element curve closely aligned with the experimental results. In the large deformation, the FE model overestimated the strength slightly. The slight discrepancy between the finite element results and the experimental results can be attributed to the inaccurate simulation of the crack behavior in ABAQUS. In general, the overall shape of these curves exhibited similar characteristics.
Two internal strain measurement points in the concrete were selected for comparison with the finite element simulation results. The locations of the measurement points are shown in Figure 5. Figure 6 shows the comparison of the load–strain curves at the measured points. The results obtained from the finite element analysis exhibited good agreement with the experimental measurements. This agreement further validated the accuracy of the FE model in capturing the behavior of the test specimens.
In summary, the load–displacement and load–strain curves obtained from the FE models demonstrated satisfactory agreement with the experimental results, confirming the effectiveness of the simulation in capturing the structural response.

4. Parametric Study and Discussion

Figure 7 depicts the transfer mechanism of the vertical load (F) from the beam to the CFST column. This load is ultimately supported by the exterior steel tube (Fs) and the core concrete (Fc,SUM), as shown in Figure 7a. There are two paths by which the load is conveyed to the interior concrete (Figure 7b). Firstly, it is transferred through the contact force (Ff) between the steel tube and the concrete. Secondly, it is transferred through the compression force (FR) exerted by the inner ring plates. The sum of these two forces equals the axial force of the concrete (Fc,SUM). In this study, the load bearing ratio of these two components (i.e., Ff and FR) is defined as the proportion of their load in relation to the total load (F) of the CFST column.
The validated FE model was used to perform an extensive parametric study on the CFST column to steel beam connections. Based on the experimental results, the inner ring plates and vertical stiffeners mainly affect the stiffness of the connection. Therefore, a parametric study was conducted with a focus on investigating the friction coefficient, the ring plate width, ring plate thickness, and vertical stiffness thickness on the load transfer from the steel beam to the core concrete. All the models had the same column size of 750 × 16 (outer diameter × wall thickness, unit: mm), and same beam size of 285 × 200 × 20 × 20 (depth × width × web thickness × flange thickness, unit: mm). The beam length from the column face was 400 mm. The investigated parameters were the inner ring plate size (width Dr, and thickness tr), the vertical stiffener thickness tv, and the friction coefficient μ. The specific values are summarized in Table 2. A total of 44 models were analyzed. Figure 8 shows the details of the investigated parameter.

4.1. Influence of the Friction Coefficient on the Load Distribution

In engineering practice, it has been observed that the desired bonding condition may not be achieved in the contact between the steel pipe wall and the concrete. This contact situation is influenced by several factors, including the quality of concrete pouring and curing. Particularly in large-diameter steel pipe concrete columns, certain conditions such as thermal expansion and contraction can result in a very weak friction situation between the steel pipe and the concrete. Consequently, the inner ring plates would take the majority of the force, then transferring the load to the concrete.
Series 1 models in Table 1 were used to analyze the influence of the friction coefficient on the load distribution. Two distinct geometry models were developed, one with a thin ring plate and another with a thick ring plate. The width of the ring plate was 75 mm and the thickness of the vertical stiffener was 16 mm. For each model, a large range of friction coefficients (μ = 0.01, 0.05, 0.10, 0.15, 0.20, 0.25) was applied.
As described in Figure 7, the force taken by the concrete comes from two components, namely Ff and FR. The load bearing ratio of Ff and FR can be defined as Ff/F and FR/F, respectively. Figure 9 shows the load bearing ratio of these two components. The horizontal axis denotes the friction coefficients, while the vertical axis represents the load bearing ratio. In the figure, the legend “Ff/F” represents the load bearing ratio of Ff (Ff/F), “FR/F” represents the load bearing ratio of FR (FR/F), and “Fc,sum” represents the sum of the two, which is the total proportion of the load borne by the concrete.
As can be seen from the Figure, when both the inner ring plate and frictional force are present, they can transfer a certain proportion of vertical load to the core concrete. As the friction between the steel tube wall and concrete decreases, the proportion of the load transmitted to the core concrete through the inner ring plate gradually increases. However, when the frictional contact cannot be guaranteed (e.g., friction coefficient μ = 0.01), the inner ring plate would transfer a significant proportion of load to the concrete, and the total sum of the load transmitted by both the inner ring plate and frictional force remains basically unchanged, with only a slight increase as the friction coefficient increases. By comparing Figure 9a,b, it can be observed that when the friction coefficient is large, increasing the thickness of the inner ring plate will not significantly increase the total load transmitted from the steel beam to the core concrete. However, when the thickness of the ring plate increases, the compression force exerted by the inner ring plates (FR), becomes more prominent. This means that a thicker ring plate will play a more significant role in transferring the load to the interior concrete compared to the contact force between the steel tube and the concrete. In conclusion, when both frictional force and the inner ring plate are present, they can effectively transfer vertical load to the core concrete, and the ratio of vertical load transmission will vary according to their respective capabilities. When the contact between the steel tube wall and concrete cannot be guaranteed, the inner ring plate can transfer almost the same proportion of vertical load to the core concrete.

4.2. Influence of the Ring Plate Width on the Load Distribution

Series 2 models in Table 1 were used to analyze the influence of the ring plate width on the load distribution. The inner ring plate width parameters were selected as Dr = 3 mm, 5 mm, 10 mm, 25 mm, 50 mm, 75 mm, 100 mm, 150 mm, and 187.5 mm. The inner ring plate thickness was taken as 16 mm and 8 mm. The friction coefficient was taken as 0.01.
The results are shown in Figure 10, where the horizontal axis represents the width of the inner ring plate, and the vertical axis φ represents the load bearing ratios. Specifically, UR represents the load bearing ratio of the inner ring plate at the top flange, DR represents the load bearing ratio of the inner ring plate at the bottom flange, and SUM represents the sum of the two. As can be seen from the Figure, when the width of the inner ring plate was not greater than 10 mm, the load bearing ratio through the top and bottom inner ring plates increased rapidly with the increase in the ring plate width. The load bearing ratio of the top ring plate was higher than that of the bottom ring plate. When the width of the inner ring plate exceeded 25 mm, the load bearing ratio of the top ring plate decreased as the width of the plate increased. However, the load bearing ratio of the bottom ring plate still gradually increased as the width of the plate increased. When the plate width reached to 150 mm, the load bearing ratio stabilized at a constant level, indicating the maximum bearing capacity of the ring plates.
It is a bit abnormal that the load bearing ratio of the top ring plate decreased as its plate width increased. Through the examination of the deformed shape of the tube, it was discovered that the tube wall deformed extensively at the vicinity of the upper ring plate. When the width of the ring plate was small (e.g., tr = 16 mm, Dr ≤ 50 mm), the ring plate was so weak that the tube wall was pulled out from the concrete due to the tension in the steel beam’s top flange, causing the connection to rotate downward around point O (Figure 11). Therefore, the embedded length of the upper ring plate would reduce, resulting in a very limited contact area with the core concrete. Consequently, the load bearing capacity of the upper ring plate was limited.
When the width of the ring plate was relatively small (e.g., tr = 16 mm, Dr = 10~25 mm), there would be detachment between the steel tube wall and the core concrete. In this case, the weak stiffness failed to meet the design requirements for bending moments. When the width of the ring plate was excessively large, such as 75 mm to 187.5 mm, the load bearing capacity of the ring plates would not increase significantly. Based on the above analysis, the optimal width of the inner annular plate would be 75 mm. This was the chosen width for the subsequent analysis.

4.3. Influence of the Ring Plate Thickness on the Load Distribution

Series 3 models in Table 1 were used to analyze the influence of the ring plate thickness on the load distribution. When studying the influence of the thickness of the inner ring plate on the load distribution, other parameters were kept constant, such as the width of the ring plate at 75 mm and the thickness of the vertical rib at 16 mm. The thickness of the inner ring plate ranged from 6 mm, 8 mm, 10 mm, 12 mm, and 16 mm, to 20 mm. A friction coefficient of 0.01 remained constant for all the models.
Figure 12 shows the computational results. Note UR represents the load bearing ratio of the inner ring plate at the top flange, DR represents the load bearing ratio of the inner ring plate at the bottom flange, and SUM represents the sum of the two. When the thickness of the ring plate increased from 6 mm to 20 mm, the total load bearing ratio increased from 45% to 52%. It seems that the thickness of the ring plate was not the critical factor affecting the transmission of vertical loads. In engineering design, the determination of the inner annular plate thickness can be based on the bending moments of the steel beam.

4.4. Influence of the Vertical Stiffener Thickness on the Load Distribution

Series 4 models in Table 1 were used to analyze the influence of the vertical stiffener on the load distribution. The thickness parameter of the vertical stiffeners was set as tv = 6 mm, 8 mm, 10 mm, 12 mm, 16 mm, and 20 mm. As shown in Figure 13, when the thickness of the vertical stiffeners increased from 6 mm to 20 mm, the vertical load transmitted from the inner ring plate to the internal concrete actually decreased slightly. Note UR represents the load bearing ratio of the inner ring plate at the top flange, DR represents the load bearing ratio of the inner ring plate at the bottom flange, and SUM represents the sum of the two. The explanation may be as follows: The inner ring plate transferred vertical loads by compressing the concrete through downward deformation. However, the presence of vertical stiffeners hindered the downward deformation of the local ring plate, as shown in Figure 14. The thicker the vertical stiffeners, the more pronounced the hindrance, resulting in a reduction in the vertical load transferred from the inner ring plate to the concrete.

4.5. Influence of the Ring Plate Width on the Stress Transition Length

Figure 15 shows the Mises stress contour of the concrete. The concrete surrounding the ring plate was in a state of localized compression. An uneven stress distribution was observed: higher stress level in the region near the steel tube wall compared to the core region. In particular, on the cross section near the connection, the stress was unevenly distributed along the section. As the load was transmitted to a certain distance, the stress distribution on the section tended to become uniform. This distance was defined as the stress transition length. When the transition length is greater than the story height, the concrete near the tube wall may experience crushing due to the combined effect of the load from the upper floor and the current floor. This can lead to the buckling and failure of the pipe wall, resulting in serious consequences.
In the FE analysis, we assumed a uniform stress distribution when the error between the maximum and minimum stresses on the same section was less than 10%; that is, (σmax − σmin)/σmax ≤ 10%. A short stress transition length indicated a faster and more uniform diffusion of stress within the concrete. Through a series of analysis and research, among the parameters studied in this paper, the width of the inner ring plate was the controlling parameter that affected the stress transition length. Series 5 models in Table 1 were used to analyze the influence of the ring plate width on the stress transition length. The parameter values for the width of the inner ring plate (Dr) were chosen as 15 mm, 30 mm, 45 mm, 90 mm, and 180 mm, with a friction coefficient (μ) of 0.01.
Figure 16 shows the relationship between the stress transition length and the ring plate width. The stress transition distance ranged from 720 mm to 800 mm, approximately equal to the diameter of the steel tube. When the diameter of the steel pipe concrete column reached 3 m to 4 m in the real practice (i.e., Wuhan Center Tower), the stress transition length was still within the story height. Therefore, the occurrence of uneven stresses in the concrete cross section due to the combined loads of the upper floor and the present floor would not occur.

4.6. Influence of the Concrete Pouring Defects on the Load Distribution

The full contact between the steel tube and concrete ensures the excellent performance of steel-reinforced concrete columns, while concrete pouring is a crucial concern for the connections with inner ring plates. As demonstrated in the previous sections, the ring plate is one of the main components for transferring loads to the core concrete. If the quality of concrete pouring is not guaranteed or the concrete beneath the inner ring plate is not compacted, there would be significant gaps between the concrete and the inner ring plate, compromising the effectiveness of the load transmission.
Two types of pouring defects were considered in this study. One defect involves complete separation between the inner ring plate and the concrete beneath it, as shown in Figure 17a. The separation was across the whole width of the ring plate. The other defect was less width separation with a width of 10 mm, representing partial separation in which a limited separation occurred only near the steel tube, as shown in Figure 17b. Two separation distances were considered in each defect, i.e., 3 mm and 7 mm. The model information is summarized in Series 6 in Table 2. Two types of column sections were adopted, 600 mm and 900 mm.
Table 3 lists the load bearing ratio of the concrete. The load bearing ratio of the concrete decreased significantly in complete separation. With a separation distance of 3 mm, the concrete only took 0.10 to 0.11 of the total load. With a larger separation distance of 7 mm, the load bearing ratio was reduced to 0.02, and the inner ring plate made almost no contribution to the transmission of the load. The steel tube would take almost all of the load, which deviated from the design concept that the concrete and steel tube bear the load together. On the other hand, in the case of partial separation defect, the separation distance did not have a significant influence on the load bearing ratio of the concrete. Although the exact ratio may be debated, the observed trend holds considerable significance. Therefore, when pouring concrete into steel columns with inner ring plates, strict control of the concrete pouring quality is necessary. It is recommended to use concrete with higher fluidity and smaller shrinkage. In addition, quality control measurements should be taken. For example, when pouring concrete near the connection region, it is necessary to pour continuously and properly compact the concrete by vibrating.

5. Conclusions

This study presented an experimental and numerical investigation on the behavior of concrete-filled steel tube (CFST) column to steel beam connections reinforced with internal ring plates. The aim was to evaluate the adequacy of this connection design used in a prototype high-rise building (i.e., the Wuhan Center Tower) and provide recommendations for enhancing similar connections.
The results showed that the composite action of the ring plate and friction together enabled effective transfer of vertical loads from the steel beam to the concrete core. Parametric analysis revealed that a ring plate width of around 75 mm provided an optimal load carrying capacity, while the plate thickness and vertical stiffener thickness had minor influence. Severe concrete defects beneath the ring plate significantly compromised its load transfer ability, highlighting the need for stringent quality control during concrete placement. It should be note that this research is motivated by the objective of offering design recommendations for the Wuhan Center Tower project. The optimal width of the inner ring plate is closely associated with the dimensions of the CFST column. This study has determined that the optimal width corresponds to 1/10 of the external diameter of the column. This find may also be a valuable reference for other similar cases.
The stress distribution in the concrete cross section was found to transition from nonuniform to uniform over a length approximately equal to the column diameter. This was within the acceptable limits for the prototype structure studied. Overall, the connection design with internal ring plate reinforcement was validated through this study for the loads and geometries analyzed.
These findings provide valuable insights into the behavior and design optimization of ring-plate-reinforced CFST column to steel beam connections. Further experimental and analytical research on large-scale connections under cyclic loading can help extend these results. The knowledge gained can guide safer and more efficient design of such connections in future high-rise construction.

Author Contributions

Conceptualization, G.Y. and X.M.; methodology, K.W.; software, K.W. and X.M.; validation, K.W., G.Y. and N.Y.; formal analysis, K.W.; investigation, X.M.; resources, G.Y.; data curation, N.Y.; writing—original draft preparation, K.W.; writing—review and editing, K.W. and G.Y.; visualization, K.W.; supervision, G.Y.; project administration, X.M.; funding acquisition, G.Y. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Shanghai Sailing Program, grant number 21YF1450700.

Data Availability Statement

The data presented in this study are available on request from the corresponding author. The data are not publicly available due to privacy.

Acknowledgments

We are grateful to the anonymous reviewers for their constructive comments.

Conflicts of Interest

Authors Kang Wang, Guanghua Yin, Xinxu Ma and Nannan Yan were employed by the company China Construction 8th Engineering Bureau. The company was not involved in the study design, collection, analysis, interpretation of data, the writing of this article or the decision to submit it for publication.

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  26. GB 50010-2010(2015); Code for Design of Concrete Structures. China Architecture & Building Press: Beijing, China, 2010.
Figure 1. Reinforcing forms in the CFST column to steel beam connection: (a) external stiffened and (b) internal stiffened.
Figure 1. Reinforcing forms in the CFST column to steel beam connection: (a) external stiffened and (b) internal stiffened.
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Figure 2. Configuration of specimens.
Figure 2. Configuration of specimens.
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Figure 3. Finite element model.
Figure 3. Finite element model.
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Figure 4. Load versus displacement curves: (a) SJ-D900; (b) SJ-D750.
Figure 4. Load versus displacement curves: (a) SJ-D900; (b) SJ-D750.
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Figure 5. Location of strain gauges: (a) front view; (b) top view.
Figure 5. Location of strain gauges: (a) front view; (b) top view.
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Figure 6. Comparison of concrete strain: (a) C1; (b) C2.
Figure 6. Comparison of concrete strain: (a) C1; (b) C2.
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Figure 7. Load path: (a) forces acting on the connection; (b) free-body diagram of concrete.
Figure 7. Load path: (a) forces acting on the connection; (b) free-body diagram of concrete.
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Figure 8. Details of the investigated parameters.
Figure 8. Details of the investigated parameters.
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Figure 9. Load bearing ratio of Ff and FR: (a) tr = 8 mm; (b) tr = 16 mm.
Figure 9. Load bearing ratio of Ff and FR: (a) tr = 8 mm; (b) tr = 16 mm.
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Figure 10. Ring plate width and load distribution: (a) tr = 8 mm; (b) tr = 16 mm.
Figure 10. Ring plate width and load distribution: (a) tr = 8 mm; (b) tr = 16 mm.
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Figure 11. Steel tube wall pull-off phenomenon diagram: (a) pull-off phenomenon; (b) normal force transmission.
Figure 11. Steel tube wall pull-off phenomenon diagram: (a) pull-off phenomenon; (b) normal force transmission.
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Figure 12. Ring plate thickness and load distribution.
Figure 12. Ring plate thickness and load distribution.
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Figure 13. Vertical stiffener thickness and load distribution.
Figure 13. Vertical stiffener thickness and load distribution.
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Figure 14. Vertical stiffener simplified diagram.
Figure 14. Vertical stiffener simplified diagram.
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Figure 15. Strain diffusion diagram.
Figure 15. Strain diffusion diagram.
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Figure 16. Inner ring width and diffusion distance.
Figure 16. Inner ring width and diffusion distance.
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Figure 17. Concrete pouring defects: (a) complete separation; (b) partial separation.
Figure 17. Concrete pouring defects: (a) complete separation; (b) partial separation.
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Table 1. Specimen.
Table 1. Specimen.
SpecimenColumn Section
Unit: mm
Beam Section
Unit: mm
Internal Ring Plate
Unit: mm
SJ-D750750 × 16285 × 200 × 20 × 2075 × 6
SJ-D900900 × 16285 × 200 × 20 × 20112 × 6
Table 2. Summary of FE models.
Table 2. Summary of FE models.
SeriesModelDr
Unit: mm
tr
Unit: mm
tv
Unit: mm
μ
Series 1M1758160.01
M2758160.05
M3758160.10
M4758160.15
M5758160.20
M6758160.25
M77516160.01
M87516160.05
M97516160.10
M107516160.15
M117516160.20
M127516160.25
Series 2M13108160.01
M14258160.01
M15508160.01
M16758160.01
M171008160.01
M181508160.01
M19187.58160.01
M201016160.01
M212516160.01
M225016160.01
M237516160.01
M2410016160.01
M2515016160.01
M26187.516160.01
Series 3M27756160.01
M28758160.01
M297510160.01
M307512160.01
M317516160.01
M327520160.01
Series 4M33751660.01
M34751680.01
M357516100.01
M367516120.01
M377516160.01
M387516200.01
Series 5M391516160.01
M403016160.01
M414516160.01
M429016160.01
M4318016160.01
Series 6 *M447516160.01
* Note: The diameter of the tubes in Series 6 is 600 mm and 900 mm.
Table 3. Load bearing ratio of concrete.
Table 3. Load bearing ratio of concrete.
DiameterDefect TypeSeparation Distance
3 mm7 mm
900Complete separation0.110.02
Partial separation0.550.51
600Complete separation0.100.02
Partial separation0.520.51
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Wang, K.; Yin, G.; Ma, X.; Yan, N. Force Transfer Mechanism and Behavior Insights for a Large-Diameter CFST Column to Steel Beam Connection. Buildings 2023, 13, 2996. https://doi.org/10.3390/buildings13122996

AMA Style

Wang K, Yin G, Ma X, Yan N. Force Transfer Mechanism and Behavior Insights for a Large-Diameter CFST Column to Steel Beam Connection. Buildings. 2023; 13(12):2996. https://doi.org/10.3390/buildings13122996

Chicago/Turabian Style

Wang, Kang, Guanghua Yin, Xinxu Ma, and Nannan Yan. 2023. "Force Transfer Mechanism and Behavior Insights for a Large-Diameter CFST Column to Steel Beam Connection" Buildings 13, no. 12: 2996. https://doi.org/10.3390/buildings13122996

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