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IRJET- Effects of Different Parameters on Inelastic Buckling Behavior of Composite Concrete-Filled Steel Tubes
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IRJET- Effects of Different Parameters on Inelastic Buckling Behavior of Composite Concrete-Filled Steel Tubes
1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 603 Effects of Different Parameters on Inelastic Buckling Behavior of Composite Concrete-Filled Steel Tubes Hossein Alimohammadi1, Amin Hesaminejad2, Mohammadali Lotfollahi Yaghin3 1Ph.D. student, Civil, Construction and Environmental Engineering Department, Iowa State University, Iowa, USA, 2Master of Science, Civil engineering department, Azad University of Maragheh, East Azerbaijan, Iran 3 Professor, Civil Engineering Department, Tabriz University, Tabriz, East Azerbaijan, Iran ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - Composite columns are one of the most used cross- sections in various buildings and bridges. In this research, the impact of different parameters such as the effect of the eccentricity of loads or the changeinthehorizontaldistanceof the loading profiles in buckling of the composite columnswith double IPE cross-sections as well as the impact of different value of slenderness on buckling of compositeboxcolumnshas been investigated. Based on the results, the steel member's yielding will be delayed by filling the steel sections with concrete. Also, an increase in the amount of compositecolumn capacity is directly related to the associative ratio of composite concrete. In other words, increasing the ratioofthe concrete surface leads to greater capacity which is caused by being filled with concrete. Key Words: Concrete filled columns, composite columns, buckling, ABAQUS software 1. INTRODUCTION Concrete-filled Steel box Tubes (CFT) have been used since the early 1900s when several bridges and buildings were constructed using CFT columns. Some of them include the directive expressway intersectionofAlmondBurryintheUK, the Charleroi Railways in Belgium,InternationalTradeUnion in Geneva, and a stadium in Martigny and Boury in Switzerland. These members are alsocan be used as a driven pile in the deep foundation of bridge construction projects, [1]. There are various types of cross-sections used in concrete-filled tubes, including circular, rectangular and square sections, which are the most common ones. Some of the advantages of columns filled with concrete can be the high energy absorption, higher ductility, buckling critical load, shear strength, providing coverage for concretecoreby steel section and protecting the concrete surface from damage, shorterconstructiontime,andeasiertransportation. They can be used different structural systems such as steel moment frames, special truss moment frames etc. [2], [3], Considering the benefits mentioned above, composite concrete-filledcolumnsalsohavesomedisadvantages.Oneof these disadvantages is the placement of steel on the outer surface of the column and its vulnerability against fire. Implementation of the fittings on these columns is also difficult, which makes the behavior of the fittings notbeclear and few studies have been conducted on thismatter.Looking from a structural engineering viewpoint, buckling is a phenomenon which can cause the failure of member and probably whole the structure as a resultant. For example, Mousavi et al. showed that how buckling of members in double-layer braced barrel vaults, regarding the position of its supports, can cause a progressive collapse in this structural system, [4]. The restriction, which is created by metal mold around the concrete core, improves concrete behavior by applying hydrostatic force to the concrete. Furthermore, concrete prevents the inside buckling of the side plates of the steel tube. Filling the steel tube columns with concrete will change the property of the section, and that section in analysis needs to be considered, similar to reinforced concrete members, as a composite section. The quality and quantity of each material can have a significant influence on the behavior of the member and the whole structure [5]. As an example in reinforced concrete structures, Mousavi et al. showed that using the high-strength steel rebar in reinforced concrete moment frames can remarkably changethebehaviorofthese structural systems,[6]. In 1967, theoretical studies by Gardner and Jacobson showedthatinlowstrains,thePoisson ratio of concrete is in the range of 0.15 to 0.25, but for higher strains, the Poisson ratio of concrete can even reach 0.6,[7]. As a result, in the early stages of loading, Poisson's ratio for concreteis lower than steel.Thus, steeltubesdonothaveany limiting effect on the concrete core. When the axial strain increases, the transverse strain of the concrete slowly becomes greater than steel. As a result,a radial forceappears on the contact surface of steel and concrete. In this stage, the concrete core is under tri-axial stress, and steel tubes are under biaxialstress. Becauseoftheringtensionstate,(biaxial stress) steel tube cannot withstand the usual yield stress. Therefore, there is a load transfer from the wall of the steel section to the concrete core. The load that fits this type of damage can be significantly larger than the total damages of concrete and steel loads separately. The increase in the critical load caused by the confinement effect of concrete on the steel core depends on many factors. Suchasthethickness of the steel tube, slenderness ratio, eccentricity of applied force, and cross-section shape. Regarding the circular tube columns, the steel tube has a higher confinement effect compared to square columns because there is a tendency to be circular in a square section under radial loads. Also, the center and corners of the square sections are under greater limiting pressure compared to edges, but a uniformly distributed lateral pressure is expected in a circular column.
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 604 Under continuous loading, the performance of CFT is different from ordinary reinforced concrete columns. In reinforced concrete columns, concrete experiences shorteningat an earlyage. This is followedbyalongperiodof contraction and creep under load. InthecaseofCFTcolumns, the shortening factor is low due to the moist environment inside a steel tube, and contraction occurs very slowly. Nevertheless, the rust is expected inside the steel tube. The behavior of the CFT columns affected by concentrated axial load depends on the buckle length (Le), the least dimensions of the cross-section, (B), and mechanical properties of steeland concrete. According to the mentioned items, slenderness (Le / B) or slenderness ratioλ Itcan be obtained, based on which we can conclude whether the columns are short, medium, or slender.Failuremechanismin a short column occurs in the form of yielding of steel and crushing concrete [8]. Composite columns with medium length havean inelastic behavior, andtheirbehavioranalysis is also inelastic. Their failure mechanism is in the form of slight yielding of steel and crushing of concrete under pressure. Long columns have elastic behavior, and their method of analysis is also elastic. And in this case, early deformations are discarded. And the behavior of the column can be suggested according to the Euler spiral. Research shows that the performance of square and rectangleconcrete-filledsteel columns are not as good as the circular form. Maybe the reason is that the confining effect that is applied to the concrete core by a steel wall does not take place in square and rectangular columns. Tao et al. (2005) performed experimental studies on CFT columns that werereinforcedwithlongitudinalstiffenersand examined the effect of these stiffeners,[9]. The results of the experiments showed that the buckling of the columns with stiffeners occurs when the stiffeners starttobuckle.Thesteel plates in columns with stiffeners bend later than columns without stiffeners. The columns which have the stiffeners welded to their internal part buckle later than columns that have the stiffeners welded to their external parts. The cause of this is that filling concrete in columns with internal stiffeners, braces them in itself, and prevents their fast deformation and buckling. Tao et al. in 2008 conducted further studies on the effects of stiffeners on the strength and ductility of the CFT columns, and this time, they increased thenumberofstiffenersoneach aspect or used a different type of stiffeners,[10]. They also increased the height of the cross-section of the stiffeners. In the samples which had no stiffeners, buckling on steel plates took place when the load reached 30% to 40% of its final value. While this amount was respectively 80 and 100, in the samples with 1 or 2 stiffeners on each aspect, these results show that stiffeners significantly delay buckling of the steel plate. And increasing the number of stiffeners has a good effect on steel's buckling and, therefore, its bearing capacity. Stiffeners also increase ductility. The use of various stiffeners has been suggested to improve the behavior of square CFT columns and improve their confining properties. Gii and Yusami at 1994 proposed the method of welding a longitudinal steel strip on the inner surface of the steel tube,[11]. However, Huang et al. in 2002, proposed the method of welding shears studs,[12]. Ductility was significantly increasedbyusingshearstuds,butitdidnot have much impact on the strength of the samples. They also proposed a new stiffening plan by welding a group of four diagonal steel bars along the longitudinal axis of the steel pipe, which actively strengthens the enclosure of concrete core by a steel pipe. To overcome the disadvantage of confined concrete in square columns, a new stiffening plan was proposed by Cai and Hee in 2006, [13]. Wang et al., in 2004, studied the resistance and ductility of composite columns under axial pressure loads,[14]. The results of their experiments show the steel columns filled with concrete and reinforced with steel cross-sections, has the advantages of both CFT columns and steel columns buried in concrete. Due to the interaction between concrete and steel walls, as well as concreteandsteelreinforcedcross- section, ductility and energy absorption of SR-CFT columns are higher than ordinary CFT columns and steel columns buried in concrete. The steel-reinforced cross-section in the column significantly prevents the shear cracks and, thus, improves the behavior of the column. Bambach et al. conducted some research on this matter in 2009 and obtained acceptable results [15]. The results of the experiments show that strengthening CFT columns with CFRD plates delays the buckling of steel plates by up to 4 times. It was also observed that the installation of CFRP plates,significantly increasescross-section capacityandCFT column’s resistance ratio to weight. In 2008, Han et al. conducted studies on thin-walled hollow structural steel columns,[16]. They filled thehollow cross-sections withself- compacting and high efficiency concretes. They used 50 column samples for this experiment and compared the results obtained by experiments to different regulations. They have conducted the experiments with self-compacting concretes, while the relationshipsofthecodesthatwereused for predicting the behavior of the columns were obtained with ordinary concrete. A comparison of the results of the experiment and the prediction codes indicate that there was no difference between the self-compacting concrete and the ordinary concrete for reinforcing the CFT columns. And its only advantage was the ease of use and benefits of better implement for structural engineers. In 2008, Yu and Tao investigatedtheuseofhigh-performance concretein the reinforcementofCFTcolumns,[17].Resultsof the experiments conducted on this context show that even though the ultimatecapacityofcross-sectionsfilledwithhigh strengthconcreteis higher than samples filled with ordinary concrete, their ductility is less than ordinary columns.
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 605 Therefore, the use of this type of columnisnotrecommended in earthquake-prone areas where ductility is veryimportant. Composite columns have been recommended as a fundamental solution for preventing general and local buckling of steel columns and also the prevention of shear failureand deterioration of concrete columns.Moreover,this form of a structural member provides seismic resistance, stiffness, ductility, and high absorption capacity properties. Morsi and Yu Wai in 2003 conducted a study on six samples of columns consisting of 4 thin-walled sheets, with coefficients of 40, 50 and 60 of local thinness, with concrete and without concrete to achieve the effect of high strength concrete on buckling capacity (local and general),[18]. They concluded that all columns have relatively linear behavior before reaching the final load. And also, the presence of high strength concrete in the composite samples increases the load-bearing capacity of the column byabout2to3timesand slowly reduce stiffness after tolerating the maximum force applied. 2. STEEL COLUMNS WITH DOUBLE IPE CROSS-SECTION At this part, the constituent members of the composite column consist of steel and concrete and tie plates. The free space between steel sections is assumed to be filled with concrete, and one column is considered without concrete. The models have been investigated in terms of axial bearing capacity, buckling behavior, and post-buckling behavior.The variables of this experiment include changes in the slenderness of the samples, loading with different eccentricity, and the change in distance of steelprofilesisina column (s). For steel member modeling, Abacus software has been used in this study to investigate the inelastic buckling behavior of composite columns filled with concrete by using the finite element method. Four-node shell element (s4r) is used with six degrees of freedomineachnodetoconsiderlocalbuckling and flexibility in three dimensions. Also, the isoperimetric element with cracking and breaking ability is used in the concrete part. Concentrated force is applied to the system through welded stiff plates at one of the ends of the column. The column is bounded to the ground through the same stiff plates at the other end. Static Analysis in the form of Riks analysis is used, whichisrelatedtoinelasticbucklinganalysis of compressive members in Abacus software [19], [20]. The steel has a yield stress of 2690 kg⁄cm², the modulus of elasticity of 2.1×106 kg⁄cm²,and Poisson’s coefficient of 0.3. Axialcompressive resistance of the concrete isconsideredto be f’c =270 kg⁄cm². 2.1 The eccentricity effect in buckling of composite columns with double IPE cross-sections To investigatethe eccentricity effectinbucklingofcomposite columns, three samples of concrete-filled steel columnshave been modeled. These models have 2.5 m long and consisted of two IPE with the size of 160, 220, and 300, while the profile flanges were welded together without using parallel connecters. The behavior of these models is compared with three similar steel column samples, which were filled with concrete. In this investigation, loading with eccentricity relative to the X-axis is considered for different samples. For this reason, 1 cm eccentricity was considered for the IPE160 cross-section, 2 cm eccentricity for IPE220 cross- section, and 3 cm eccentricity for the IPE300 cross-section. The maximum resistance of the samples and the increase in resistance in samples with concretecomparedtothesamples without concrete can be seen in Table 1. In this table, CC represents the cross-section with concrete, and UC represents the cross-section without concrete. The numbers immediately after those words on the right represent the profile size next number shows the distance of the profiles in centimeters from each other (s). For example, the term UC- 300-15 represents a concrete free steel cross-section consisting of two IPE profiles with a size of 300 and a distance of 15 cm in the axis of the profiles. Figure (2-9) shows the cross-section of samplesand the meshed modelof the column by using parallel and also without parallel connectors. The result shows that buckling behavior improved by adding concrete and increasing the cross- sectional area of the steel and keeping the column length constant (decreasing the overall slenderness ratio), and the ultimate resistance, stiffness and flexural strength of the samples were significantly increased. Thus,byincreasingthe number of cross-sectionby37%to87%insteel-freeconcrete samples, the maximum bearing strength increased by 57 to 117%.Whereas,forcetolerancecapacitychangedupto214% to 331% by adding concrete to the samples. Based on the force-displacement diagram of the middle of columns in Figure 2, investigatingtheeffectofslendernesson buckling performance under increased loading with eccentricity in steel column with differentcross-sectionsand composite column, it was concluded that steel samples lost their resistance plate based on the downward slope of the diagram after yielding and buckling. In concrete-filled samples, loss of resistance in the column was initially due to overall buckling and, ultimately, due to the sudden drop in column strength in the plastic areaduetotheconcretefailure and folding of the steel wall. Figure 2 shows the deformed shape of the model (). Table 1- Comparison in the behavior of columns with various slenderness Model Eccentricity (cm) Maximum Resistance (tons) Resistance increase in % UC-160-8.2 1 92 0.0 CC-160-8.2 1 117 27 UC-220-11 2 146 57 CC-220-11 2 Single line spacing 214 UC-300-15 3 200 117 CC-300-15 3 305 331
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 606 Figure 1. Force displacement behavior of models Figure-2 Deformed shape of models (a) UC-160-8.2 (b) CC-160-8.2 2.2 Effect of change in horizontal distance between IPE sections on buckling of columns with double IPE cross- sections In this part, models include two IPE sections with different center-to-center distances of 11, 16, and 22 cm and a size of 220. The eccentricity in all specimens is equal to 1 cm, and they are considered in two states with and without concrete fill. The results in Table (2) and the load-displacement response diagram of samples in Figure (2) show that in steel cross- sections without concrete, creasing the horizontal distance of the steel profile with similar eccentricity did not affectthe maximum force tolerated by cross-section. The reason for equality of resistance of steel column without concrete by taking the Steel profiles away from each other along the X- axis is the stability of the moment of inertia of the cross- section (IX) and as a result the stability of flexural strength and stiffness of the cross-section. Table-2 Comparison in resistance of columns with the change in horizontal distance Model Concrete area (cm2) Ultimate Axial Capacity (ton) Increase in resistance (%) UC-220-11 242 161 0.0 CC-220-11 242 217 35 UC-220-16 352 161 0.0 CC-220-16 352 225 53 UC-220-22 484 161 0.0 CC-220-22 484 279 74 Figure 3. Force displacement behavior of models Figure-4 Deformed shape of models (a) UC-220-11 (b) CC- 220-11 However, in the steel columns with concrete, the amount of force tolerated by the column has significantly increased by increasing the horizontal distance of the steel profiles. And, as expected, increasing the level of the cross-section of concrete led to an increase in moment of inertia of thecross- section, and as a result, it caused the increaseinstrengthand
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 607 flexural stiffness of the cross-section. Nevertheless, the cross-section can withstand morecompressiveforce.Usinga bigger concrete cross-section leads to better buckling and post-buckling behavior of columns in the nonlinear section. However, it should be considered that an excessive increase in the concrete cross-section increases the possibility of the occurrence of fractures in non-reinforced concrete. Adding concrete to the steel samples with 11 cm of distance between profiles increases concrete resistance by 35% compared to the resistance of columns without concrete. In the sample with a distance of 16 cm, this increase is 53%, and in the sample, with a distance of 22cm,thisincrease was 74%. As expected, adding concrete in the distribution of stress in the steel column improves stress distributionin the system, and the steel wall in the composite sample is in a better position than the concrete-free state. 3. SLENDERNESS EFFECT ON BUCKLING OF COMPOSITE COLUMNS WITH BOX CROSS-SECTIONS In this section, to investigate the slenderness effect on the buckling of composite columns with steel sections, 15 analytical models are designed and modeled using the finite element method. The considered steel part consists of box cross-sections with dimensions of 300x300 mm and a thickness of 5 mm. Figure 5 shows a schematic view of the cross-section of this column. Given the equality of all the geometricpropertiesofthecross- section and to consider the different range of slenderness ratio, the slenderness coefficients in short, medium and long columns were used to calculate the lengths of sections modeled with slenderness coefficients of λ1 = 19,λ2=58and λ3 = 92, respectively. Thus, different lengths of 1.73 m, 5.19 m, and 8.22 m are obtained for the samples. The introduced columns were placed under axial loading with a certain eccentricity. The boundary condition of columns modeled in the software includes a fixed connection at one end and pinned connection in the other end. A spring with different stiffness at the top of the pinned connection provides horizontal restriction. The stiffness of the spring is considered as a ratio of stiffness of the column. This ratio changes from 0% (one end free) to 100% (one end fixed). Figures 6 shows the stress distribution in the columns and diagrams in figure 7 to 9 show the force-displacement relation for the columns of 1.73 m, 5.19 m and 8.22 m, respectively. Figure-5 Schematic view of the cross-section column models (a) (b) (c) Figure-6 stress distribution in columns with (a) short (b) moderate and (c) long height Figure 7 Load-displacement diagrams for the columns with a height of 8.22 m
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 608 Figure 8 Load-displacement diagrams for the columns with a height of 5.19 m Figure 9 Load-displacement diagrams for the columns with a height of 8.22 m 4. CONCLUSIONS According to conducted research, the results can be summarized as follows: - Filling the steel cross-sections with concrete will delay the yielding of the steel member. - The amount of increase in capacity of the composite column has a direct relation with the associative ratio of concrete. This means the higher the ratio of the concrete surface, the greater the capacity due to the concrete filling. - By increasing the distance between steel profiles in composite samples and as a result of the increase in the concrete cross-sectional area, the moment of inertia of the cross-section and, therefore, resistance and the flexural stiffness of the cross-section increases.However,itshouldbe considered that an excessive increase in the concrete cross- section increases the possibility of the occurrence of fractures in non-reinforced concrete. -In loading with the eccentricity of variables within the central core range, adding concrete leads to higher load tolerance, and it creates a more favorable buckling behavior for the steel column. - The stress distribution in the steel column under the impact of compressive axial force is, in a way, concentrated with folding in the middle of the column. However, adding concrete to it and creating a composite column will result in a wider stress distribution throughout the column. - Increasing the stiffness of the column head results in the reduction in the displacement of the column header. Therefore, this amount is approximately 2% for the column with a length of 1.73 m, 0.06% for the column with a length of 19.15 m, and 0.04%. For the column with a length of 8.22 m. REFERENCES [1] B. Phares, S. Mousavi, and Y. “Jimmy” Deng, “ConstructionofNewSubstructuresBeneathExisting Bridges,” Apr. 2019. [2] S. Mousavi, A. Keramat, and B. Shekasteband, “Investigation of the Effect of Geometric Parameters on Behavior of Special Truss Moment Frames,” Int. Res. J. Eng. Technol., vol. 6, no. 7, pp. 1566–1573, 2019. [3] H. Alimohammadi and M. Lotfollahi Yaghin, “Study on the Effect of the ConcentricBraceandLightweight Shear Steel Wall on Seismic Behavior of Lightweight Steel Structures,” Int. Res. J. Eng. Technol.,vol.6,no.8, pp. 1358–1362, 2019. [4] S. Mousavi, R. Najafpour, and M. Sheidaii, “Investigating the effect of restraints’ configuration on resistance of double layer braced barrel vaults to Progressive collapse,” Int. Acad. Inst. Sci. Technol.,vol. 6, no. 1, pp. 26–38, 2019. [5] H. Alimohammadi, “Finite element analysis of a Piezoelectric layered plate with different materials,” Int. J. Eng. Appl. Sci., vol. 6, no. 7, 2019. [6] S. Mousavi, A. Samadi, and O. Azizpour, “Assessing the Behavior ofConcreteMomentFramesReinforced with High-Strength Steel Rebar,” J. Emerg. Technol. Innov. Res., vol. 6, no. 6, pp. 271–276, 2019. [7] N. J. G. and E. R. Jacobson, “Structural Behavior of Concrete Filled Steel Tubes,” Am. Concr. Inst., vol. 64, no. 7, pp. 404–413, 1967. [8] H. Alimohammadi, K. Yashmi Dastjerdi, and M. Lotfollahi Yaghin, “The study of progressive collapse in dual systems,” Eng. Arch., pp. 1–10, 2019.
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 12 | Dec 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 609 [9] Z. Tao, L. H. Han, and Z. Bin Wang, “Experimental behaviour of stiffened concrete-filled thin-walled hollow steel structural (HSS)stubcolumns,”J. Constr. Steel Res., vol. 61, no. 7, pp. 962–983, Jul. 2005. [10] Z. Tao, L. H. Han, and D. Y. Wang, “Strength and ductility of stiffened thin-walled hollow steel structural stub columns filled with concrete,” Thin- Walled Struct., vol. 46, no. 10, pp. 1113–1128, Oct. 2008. [11] H. B. Ge and T. Usami, “Strength analysis of concrete- filled thin-walled steel box columns,” J. Constr. Steel Res., vol. 30, no. 3, pp. 259–281, 1994. [12] C. S. Huang et al., “Axial Load Behavior of Stiffened Concrete-Filled Steel Columns,” J. Struct. Eng., vol. 128, no. 9, 2002. [13] J. Cai and Z. Q. He, “Axial load behavior of square CFT stub column with binding bars,” J. Constr. Steel Res., vol. 62, no. 5, pp. 472–483, 2006. [14] Q. Wang, D. Zhao, and P. Guan, “Experimental study on the strength and ductility ofsteel tubularcolumns filled with steel-reinforced concrete,” Eng. Struct., vol. 26, no. 7, pp. 907–915, Jun. 2004. [15] M. R. Bambach, H. H. Jama, and M. Elchalakani, “Axial capacity and design of thin-walled steel SHS strengthened with CFRP,” Thin-Walled Struct., vol. 47, no. 10, pp. 1112–1121, Oct. 2009. [16] L. H. Han, G. H. Yao, and X. L. Zhao, “Tests and calculations for hollow structural steel (HSS) stub columns filled with self-consolidating concrete (SCC),” J. Constr. Steel Res., vol. 61, no. 9, pp. 1241– 1269, Sep. 2005. [17] Q. Yu, Z. Tao, and Y. X. Wu, “Experimental behaviour of high performance concrete-filled steel tubular columns,” Thin-Walled Struct., vol. 46, no. 4,pp.362– 370, Apr. 2008. [18] M. Mursi and B. Uy, “Strength of concrete filled steel box columns incorporating interaction buckling,” J. Struct. Eng., vol. 129, no. 5, pp. 626–639, May 2003. [19] H. Alimohammadi and M. Abu-Farsakh, “Finite Element Parametric StudyonRuttingPerformanceof Geosynthetic Reinforced Flexible Pavements,” Transp. Res. Board, vol. 98, 2019. [20] H. Alimohammadi, M. D. Esfahani, and M. L. Yaghin, “Effects of openings on the seismic behavior and performance level of concrete shear walls,” Eng. Arch., 2019. BIOGRAPHIES Hossein Alimohammadi has M.SC. in Earthquake Engineering and currently is Geotechnical engineering Ph.D. student at Iowa State University, Iowa, USA. Amin Hesaminejad has M.SC. in EarthquakeEngineeringfromAzad University. Mohammadali Lotfollahi Yaghin is a professor and President of Azad Maragheh Unversity andProfessor of Civil Engineering in Tabriz University, East Azerbaijan, Iran
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