Unified Approach for Estimating Axial-Load Capacity of Concrete-Filled Double-Skin Steel Tubular Columns of Multiple Shapes Using Nonlinear FE Models and Artificial Neural Networks
Publication: Practice Periodical on Structural Design and Construction
Volume 28, Issue 2
Abstract
Concrete-filled double-skin steel tubular (CFDST) columns are a modern generation of composite columns optimized for a high strength-to-weight ratio with concrete sandwiched in the annulus between the inner and outer steel-tube skins. The cross-sectional shape of steel tubes can influence the confined concrete behavior and thus the axial load-bearing capacity of CFDST columns. This study proposed a unified approach using artificial neural networks (ANNs) to predict the refined axial load-bearing capacity of CFDST columns of multiple shapes based on combinations of circular and square steel tubes, i.e., circle-circle, circle-square, square-square, and square-circle forms. A total of 233 CFDST columns (82 tested specimens and 151 hypothetical columns) were used to formulate a detailed case study. The hypothetical columns were generated using calibrated nonlinear finite element modeling. Then, ANNs were trained using a subset of these hypothetical columns to map their geometric and material properties with the ultimate axial-load capacity. The 133 CFDST columns (i.e., 82 documented tests and the remaining 51 hypothetical columns) were finally used to check the trained ANN’s prediction accuracy and generalization ability. The analytical formulation based on the optimized ANN architecture showed similar axial-load capacity prediction accuracy (about 8% mean absolute error) across all cross-sectional shapes of the CFDST columns in the testing set. Lastly, for the practical utility of the ANN-based model, prediction adjustment factors were proposed in this study for making conservative axial load-bearing capacity estimations within a targeted error margin.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
References
ACI (American Concrete Institute). 1984. “State-of-the-art report on high strength concrete.” ACI J. 81 (4): 364–411.
ACI (American Concrete Institute). 2022. Building code requirements for structural concrete and commentary. ACI Committee 318-19. Farmington Hills, MI: ACI.
Ahmadi, M., H. Naderpour, and A. Kheyroddin. 2014. “Utilization of artificial neural networks to prediction of the capacity of CCFT short columns subject to short term axial load.” Arch. Civ. Mech. Eng. 14 (3): 510–517. https://doi.org/10.1016/j.acme.2014.01.006.
AISC. 2016. Specification for structural steel buildings. ANSI/AISC 360-16. Chicago: AISC.
ANSYS Inc. 2019a. Mechanical APDL element reference. Canonsburg, PA: ANSYS Inc.
ANSYS Inc. 2019b. ANSYS parametric design language guide, release 2019. Canonsburg, PA: ANSYS Inc.
Ayough, P., N. H. H. Ramli Sulong, Z. Ibrahim, and P.-C. C. Hsiao. 2020. “Nonlinear analysis of square concrete-filled double-skin steel tubular columns under axial compression.” Eng. Struct. 216 (May): 110678. https://doi.org/10.1016/j.engstruct.2020.110678.
Bažant, Z. P., and P. G. Gambarova. 1984. “Crack shear in concrete: Crack band microplane model.” J. Struct. Eng. 110 (9): 2015–2035. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:9(2015).
Beale, M. H., M. T. Hagan, and H. B. Demuth. 2017. Neural Network ToolboxTM. User’s Guide. Natick, MA: The MathWorks Inc.
BIS (Bureau of Indian Standards). 2000. Plain and reinforced concrete-code of practice. IS 456. New Delhi, India: BIS.
Cascardi, A., F. Micelli, and M. A. Aiello. 2017. “An artificial neural networks model for the prediction of the compressive strength of FRP-confined concrete circular columns.” Eng. Struct. 140 (Jun): 199–208. https://doi.org/10.1016/j.engstruct.2017.02.047.
CEN (European Committee for Standardization). 2004. Design of composite steel and concrete structures—Part 1-1: General rules and rules for buildings. Eurocode 4, EN 1994-1-1:2004. Brussels, Belgium: CEN.
Dolati, K., and A. Mehrabi. 2021. “Review of available systems and materials for splicing prestressed-precast concrete piles.” Structures 30 (Apr): 850–865. https://doi.org/10.1016/j.istruc.2021.01.029.
Dolati, K., and A. Mehrabi. 2022. “FRP sheet/jacket system as an alternative method for splicing prestressed-precast concrete piles.” Case Stud. Constr. Mater. 16 (Jun): e00912. https://doi.org/10.1016/j.cscm.2022.e00912.
Elchalakani, M., X.-L. Zhao, and R. Grzebieta. 2002. “Tests on concrete filled double-skin (CHS outer and SHS inner) composite short columns under axial compression.” Thin-Walled Struct. 40 (5): 415–441. https://doi.org/10.1016/S0263-8231(02)00009-5.
Essopjee, Y., and M. Dundu. 2015. “Performance of concrete-filled double-skin circular tubes in compression.” Compos. Struct. 133 (Dec): 1276–1283. https://doi.org/10.1016/j.compstruct.2015.08.033.
Fan, J. S., M. N. Baig, and J. G. Nie. 2009. “Test and analysis on double-skin concrete filled tubular columns.” In Tubular Structures XII, edited by Z. Y. Shen, Y. Y. Chen, and X. Z. Zhao, 688. Boca Raton, FL: CRC Press. https://doi.org/10.1201/9780203882818.
Garg, A., I. Wani, H. Zhu, and V. Kushvaha. 2022. “Exploring efficiency of biochar in enhancing water retention in soils with varying grain size distributions using ANN technique.” Acta Geotech. 17 (4): 1315–1326. https://doi.org/10.1007/s11440-021-01411-6.
Giakoumelis, G., and D. Lam. 2004. “Axial capacity of circular concrete-filled tube columns.” J. Constr. Steel Res. 60 (7): 1049–1068. https://doi.org/10.1016/j.jcsr.2003.10.001.
Han, L., and J. Huo. 2003. “Concrete-filled hollow structural steel columns after exposure to ISO-834 fire standard.” J. Struct. Eng. 129 (1): 68–78. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:1(68).
Han, L.-H., Y.-J. Li, and F.-Y. Liao. 2011a. “Concrete-filled double skin steel tubular (CFDST) columns subjected to long-term sustained loading.” Thin-Walled Struct. 49 (12): 1534–1543. https://doi.org/10.1016/j.tws.2011.08.001.
Han, L.-H., Q.-X. Ren, and W. Li. 2011b. “Tests on stub stainless steel–concrete–carbon steel double-skin tubular (DST) columns.” J. Constr. Steel Res. 67 (3): 437–452. https://doi.org/10.1016/j.jcsr.2010.09.010.
Han, L.-H., Z. Tao, H. Huang, and X.-L. Zhao. 2004. “Concrete-filled double skin (SHS outer and CHS inner) steel tubular beam-columns.” Thin-Walled Struct. 42 (9): 1329–1355. https://doi.org/10.1016/j.tws.2004.03.017.
Hassanein, M. F., O. F. Kharoob, and L. Gardner. 2015. “Behaviour and design of square concrete-filled double skin tubular columns with inner circular tubes.” Eng. Struct. 100 (Oct): 410–424. https://doi.org/10.1016/j.engstruct.2015.06.022.
Hassanein, M. F. F., M. Elchalakani, A. Karrech, V. I. I. Patel, and E. Daher. 2018a. “Finite element modelling of concrete-filled double-skin short compression members with CHS outer and SHS inner tubes.” Mar. Struct. 61 (Sep): 85–99. https://doi.org/10.1016/j.marstruc.2018.05.002.
Hassanein, M. F. F., M. Elchalakani, A. Karrech, V. I. I. Patel, and B. Yang. 2018b. “Behaviour of concrete-filled double-skin short columns under compression through finite element modelling: SHS outer and SHS inner tubes.” Structures 14 (Jun): 358–375. https://doi.org/10.1016/j.istruc.2018.04.006.
Haykin, S. S. 1999. Neural networks: A comprehensive foundation. Hoboken, NJ: Prentice-Hall.
Hu, H., and W. C. Schnobrich. 1989. “Constitutive modeling of concrete by using nonassociated plasticity.” J. Mater. Civ. Eng. 1 (4): 199–216. https://doi.org/10.1061/(ASCE)0899-1561(1989)1:4(199).
Hu, H. T., and F. C. Su. 2011. “Nonlinear analysis of short concrete-filled double skin tube columns subjected to axial compressive forces.” Mar. Struct. 24 (4): 319–337. https://doi.org/10.1016/j.marstruc.2011.05.001.
Hu, H.-T., C.-S. Huang, M.-H. Wu, and Y.-M. Wu. 2003. “Nonlinear analysis of axially loaded concrete-filled tube columns with confinement effect.” J. Struct. Eng. 129 (10): 1322–1329. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:10(1322).
Huang, H., L.-H. Han, Z. Tao, and X.-L. Zhao. 2010. “Analytical behaviour of concrete-filled double skin steel tubular (CFDST) stub columns.” J. Constr. Steel Res. 66 (4): 542–555. https://doi.org/10.1016/j.jcsr.2009.09.014.
Huang, H., L.-H. Han, and X.-L. Zhao. 2013. “Investigation on concrete filled double skin steel tubes (CFDSTs) under pure torsion.” J. Constr. Steel Res. 90 (Nov): 221–234. https://doi.org/10.1016/j.jcsr.2013.07.035.
Kushvaha, V., S. A. Kumar, P. Madhushri, and A. Sharma. 2020. “Artificial neural network technique to predict dynamic fracture of particulate composite.” J. Compos. Mater. 54 (22): 3099–3108. https://doi.org/10.1177/0021998320911418.
Li, M., Z. Zong, M. Du, Y. Pan, and X. Zhang. 2021. “Experimental investigation on the residual axial capacity of close-in blast damaged CFDST columns.” Thin-Walled Struct. 165 (Aug): 107976. https://doi.org/10.1016/j.tws.2021.107976.
Li, M., Z. Zong, H. Hao, X. Zhang, J. Lin, and Y. Liao. 2020. “Post-blast performance and residual capacity of CFDST columns subjected to contact explosions.” J. Constr. Steel Res. 167 (Apr): 105960. https://doi.org/10.1016/j.jcsr.2020.105960.
Li, W., D. Wang, and L.-H. Han. 2017. “Behaviour of grout-filled double skin steel tubes under compression and bending: Experiments.” Thin-Walled Struct. 116 (Jul): 307–319. https://doi.org/10.1016/j.tws.2017.02.029.
Liang, Q. Q. 2009. “Performance-based analysis of concrete-filled steel tubular beam–columns, part I: Theory and algorithms.” J. Constr. Steel Res. 65 (2): 363–372. https://doi.org/10.1016/j.jcsr.2008.03.007.
Liang, Q. Q. 2017. “Nonlinear analysis of circular double-skin concrete-filled steel tubular columns under axial compression.” Eng. Struct. 131 (Jan): 639–650. https://doi.org/10.1016/j.engstruct.2016.10.019.
Liang, W., J. Dong, and Q. Wang. 2019. “Mechanical behaviour of concrete-filled double-skin steel tube (CFDST) with stiffeners under axial and eccentric loading.” Thin-Walled Struct. 138 (May): 215–230. https://doi.org/10.1016/j.tws.2019.02.002.
MacKay, D. J. C. 1992. “Bayesian interpolation.” Neural Comput. 4 (3): 415–447. https://doi.org/10.1162/neco.1992.4.3.415.
Mander, J. B., M. J. N. Priestley, and R. Park. 1988. “Theoretical stress-strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Marquardt, D. W. 1963. “An algorithm for least-squares estimation of nonlinear parameters.” J. Soc. Ind. Appl. Math. 11 (2): 431–441. https://doi.org/10.1137/0111030.
Mursi, M., and B. Uy. 2003. “Strength of concrete filled steel box columns incorporating interaction buckling.” J. Struct. Eng. 129 (5): 626–639. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:5(626).
Pagoulatou, M., T. Sheehan, X. H. Dai, and D. Lam. 2014. “Finite element analysis on the capacity of circular concrete-filled double-skin steel tubular (CFDST) stub columns.” Eng. Struct. 72 (Aug): 102–112. https://doi.org/10.1016/j.engstruct.2014.04.039.
Reich, Y. 1997. “Machine learning techniques for civil engineering problems.” Comput.-Aided Civ. Infrastruct. Eng. 12 (4): 295–310. https://doi.org/10.1111/0885-9507.00065.
Richart, F. E., A. Brandtzaeg, and R. L. Brown. 1928. A study of the failure of concrete under combined compressive stresses. Urbana, IL: Univ. of Illinois.
Saenz, L. 1964. “Equation for the stress-strain curve of concrete.” J. Am. Concr. Inst. 61: 1229–1235.
Sharma, A., S. Anand Kumar, and V. Kushvaha. 2020. “Effect of aspect ratio on dynamic fracture toughness of particulate polymer composite using artificial neural network.” Eng. Fract. Mech. 228 (Apr): 106907. https://doi.org/10.1016/j.engfracmech.2020.106907.
Sharma, A., and V. Kushvaha. 2020. “Predictive modelling of fracture behaviour in silica-filled polymer composite subjected to impact with varying loading rates using artificial neural network.” Eng. Fract. Mech. 239 (Nov): 107328. https://doi.org/10.1016/j.engfracmech.2020.107328.
Sofi, F. A. 2017. “Structural system-based evaluation of steel girder highway bridges and artificial neural network (ANN) implementation for bridge asset management.” Ph.D. dissertation, Dept. of Civil & Environmental Engineering, Univ. of Nebraska-Lincoln.
Sofi, F. A., M. R. Joo, R. Seetharaman, and M. Zakir. 2022a. “Compressive behavior and nonlinear load carrying capacity of multiple-shape concrete filled double-skin steel tubular columns.” In Recent advances in computational and experimental mechanics, edited by D. Maity, et al., 473–486. Singapore: Springer. https://doi.org/10.1007/978-981-16-6738-1_39.
Sofi, F. A., and J. S. Steelman. 2017. “Parametric influence of bearing restraint on nonlinear flexural behavior and ultimate capacity of steel girder bridges.” J. Bridge Eng. 22 (7): 04017033. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001065.
Sofi, F. A., and J. S. Steelman. 2019. “Nonlinear flexural distribution behavior and ultimate system capacity of skewed steel girder bridges.” Eng. Struct. 197 (Oct): 109392. https://doi.org/10.1016/j.engstruct.2019.109392.
Sofi, F. A., and J. S. Steelman. 2021. “Using committees of artificial neural networks with finite element modeling for steel girder bridge load rating estimation.” Structures 33 (Oct): 533–553. https://doi.org/10.1016/j.istruc.2021.04.056.
Sofi, F. A., M. Zakir, and J. A. Naqash. 2022b. “Experimentally verified behavior of multiple-shape hybrid FRP-concrete-steel double-skin tubular columns under axial compression.” In Vol. 1 of Recent advances in computational and experimental mechanics, edited by D. Maity, et al., 167–175. Singapore: Springer.
Tao, Z., L.-H. Han, and Z.-B. Wang. 2005. “Experimental behaviour of stiffened concrete-filled thin-walled hollow steel structural (HSS) stub columns.” J. Constr. Steel Res. 61 (7): 962–983. https://doi.org/10.1016/j.jcsr.2004.12.003.
Tao, Z., L.-H. Han, and X.-L. Zhao. 2004. “Behaviour of concrete-filled double skin (CHS inner and CHS outer) steel tubular stub columns and beam-columns.” J. Constr. Steel Res. 60 (8): 1129–1158. https://doi.org/10.1016/j.jcsr.2003.11.008.
Thai, H. T. 2022. “Machine learning for structural engineering: A state-of-the-art review.” Structures 38 (Apr): 448–491. https://doi.org/10.1016/j.istruc.2022.02.003.
Tomii, M., and K. Sakino. 1979. “Elasto-plastic behavior of concrete filled square steel tubular beam-columns.” Trans. Archit. Inst. Jpn. 280 (Aug): 111–122. https://doi.org/10.3130/aijsaxx.280.0_111.
Tran, V. L., D. K. Thai, and S. E. Kim. 2019. “A new empirical formula for prediction of the axial compression capacity of CCFT columns.” Steel Compos. Struct. 33 (2): 181–194. https://doi.org/https://doi.org/10.12989/scs.2019.33.2.181.
Tran, V.-L., and S.-E. Kim. 2020. “Efficiency of three advanced data-driven models for predicting axial compression capacity of CFDST columns.” Thin-Walled Struct. 152 (Jul): 106744. https://doi.org/10.1016/j.tws.2020.106744.
Tran, V.-L., D.-K. Thai, and D.-D. Nguyen. 2020. “Practical artificial neural network tool for predicting the axial compression capacity of circular concrete-filled steel tube columns with ultra-high-strength concrete.” Thin-Walled Struct. 151 (Jun): 106720. https://doi.org/10.1016/j.tws.2020.106720.
Uenaka, K. 2016. “CFDST stub columns having outer circular and inner square sections under compression.” J. Constr. Steel Res. 120 (Apr): 1–7. https://doi.org/10.1016/j.jcsr.2015.12.005.
Uenaka, K., H. Kitoh, and K. Sonoda. 2010. “Concrete filled double skin circular stub columns under compression.” Thin-Walled Struct. 48 (1): 19–24. https://doi.org/10.1016/j.tws.2009.08.001.
Von Mises, R. 1913. “Mechanik der festen Körper im plastisch-deformablen Zustand.” [In German.] Math. Klasse 1913: 582–592.
Wang, F., L. Han, and W. Li. 2018. “Analytical behavior of CFDST stub columns with external stainless steel tubes under axial compression.” Thin-Walled Struct. 127 (Jun): 756–768. https://doi.org/10.1016/j.tws.2018.02.021.
Wang, F., B. Young, and L. Gardner. 2019a. “Compressive testing and numerical modelling of concrete-filled double skin CHS with austenitic stainless steel outer tubes.” Thin-Walled Struct. 141 (Aug): 345–359. https://doi.org/10.1016/j.tws.2019.04.003.
Wang, W., C. Wu, J. Li, Z. Liu, and X. Zhi. 2019b. “Lateral impact behavior of double-skin steel tubular (DST) members with ultra-high performance fiber-reinforced concrete (UHPFRC).” Thin-Walled Struct. 144 (Nov): 106351. https://doi.org/10.1016/j.tws.2019.106351.
Wani, I., H. Kumar, S. M. Rangappa, L. Peng, S. Siengchin, and V. Kushvaha. 2021. “Multiple regression model for predicting cracks in soil amended with pig manure biochar and wood biochar.” J. Hazard. Toxic Radioact. Waste 25 (1): 04020061. https://doi.org/10.1061/(ASCE)HZ.2153-5515.0000561.
Wei, S., S. T. Mau, C. Vipulanandan, and S. K. Mantrala. 1995. “Performance of new sandwich tube under axial loading: Experiment.” J. Struct. Eng. 121 (12): 1806–1814. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:12(1806).
Zakir, M., and F. A. Sofi. 2022. “Experimental and nonlinear FE simulation-based compressive behavior of stiffened FRP-concrete-steel double-skin tubular columns with square outer and circular inner tubes.” Eng. Struct. 260 (Jun): 114237. https://doi.org/10.1016/j.engstruct.2022.114237.
Zakir, M., F. A. Sofi, and S. Behera. 2021a. “Nonlinear finite element analysis of circular stiffened FRP-concrete-steel double-skin tubular columns (DSTCs) and experimental compressive behavior of multiple DSTC shapes.” Structures 34 (Dec): 3283–3299. https://doi.org/10.1016/j.istruc.2021.09.076.
Zakir, M., F. A. Sofi, and J. A. Naqash. 2021b. “Compressive testing and finite element analysis-based confined concrete model for stiffened square FRP-concrete-steel double-skin tubular columns.” J. Build. Eng. 44 (Dec): 103267. https://doi.org/10.1016/j.jobe.2021.103267.
Zakir, M., F. A. Sofi, and J. A. Naqash. 2021c. “Experimentally verified behavior and confinement model for concrete in circular stiffened FRP-concrete-steel double-skin tubular columns.” Structures 33 (Oct): 1144–1157. https://doi.org/10.1016/j.istruc.2021.05.010.
Zarringol, M., and H. T. Thai. 2022. “Prediction of the load-shortening curve of CFST columns using ANN-based models.” J. Build. Eng. 51 (Jun): 104279. https://doi.org/10.1016/j.jobe.2022.104279.
Zarringol, M., H.-T. Thai, S. Thai, and V. Patel. 2020. “Application of ANN to the design of CFST columns.” Structures 28 (Dec): 2203–2220. https://doi.org/10.1016/j.istruc.2020.10.048.
Zhao, X., B. Han, and R. H. Grzebieta. 2002a. “Plastic mechanism analysis of concrete-filled double-skin (SHS inner and SHS outer) stub columns.” Thin-Walled Struct. 40 (10): 815–833. https://doi.org/10.1016/S0263-8231(02)00030-7.
Zhao, X. L., R. H. Grzebieta, A. Ukur, and M. Elchalakani. 2002b. “Tests of concrete-filled double skin (SHS outer and CHS inner) composite stub columns.” In Vol. 1 of Proc., 3rd Int. Conf. on Advances in Steel Structures, 567–574. Amsterdam, Netherlands: Elsevier.
Zhao, X.-L., and R. Grzebieta. 2002. “Strength and ductility of concrete filled double skin (SHS inner and SHS outer) tubes.” Thin-Walled Struct. 40 (2): 199–213. https://doi.org/10.1016/S0263-8231(01)00060-X.
Zhao, X.-L., R. Grzebieta, and M. Elchalakani. 2002c. “Tests of concrete-filled double skin CHS composite stub columns.” Steel Compos. Struct. 2 (2): 129–146. https://doi.org/10.12989/scs.2002.2.2.129.
Zhao, X.-L., L.-W. Tong, and X.-Y. Wang. 2010. “CFDST stub columns subjected to large deformation axial loading.” Eng. Struct. 32 (3): 692–703. https://doi.org/10.1016/j.engstruct.2009.11.015.
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Practice Periodical on Structural Design and Construction
Volume 28 • Issue 2 • May 2023
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© 2022 American Society of Civil Engineers.
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Received: Apr 6, 2022
Accepted: Aug 20, 2022
Published online: Dec 19, 2022
Published in print: May 1, 2023
Discussion open until: May 19, 2023
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