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Neural Network Prediction Model for Shear Bearing Capacity of RC Columns and Its Interpretability

Xu CHANG1Cailong MA1,2,3()Xufeng XIAO1Chengfeng LU2
School of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830017, China
School of Civil Engineering and Architecture, Xinjiang University, Urumqi Xinjiang 830017, China
Xinjiang Key Laboratory of Building Structure and Seismic Resistance, Xinjiang University, Urumqi Xinjiang 830017, China
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Abstract

The accuracy of traditional prediction models for the shear bearing capacity of reinforced concrete(RC) columns is improved and existing experimental data is mined and utilized. Based on machine learning methods and the interpretable SHAP method, an artificial neural network model is established to predict the shear bearing capacity of reinforced concrete columns. Firstly, based on shear theory, 9 input features including longitudinal reinforcement ratio ρl, longitudinal reinforcement yield strength fyl, and area shear reinforcement ratio ρsv are determined and their correlations are verified. With 441 sets of collected and organized experimental data on shear tests of reinforced concrete columns, the neural network model is compared with 5 machine learning models and 5 traditional semi-empirical and semi-theoretical formulas. The prediction results show that the neural network model established in this paper has better generalization and robustness, and its prediction results are more accurate(with R2 reaching 0.99 and 0.92 on the training set and test set, respectively). In addition, the SHAP method is used to analyze the interpretability of the neural network model. The analysis results show that features such as section width b, axial compression force N, shear span ratio λ, effective section height h0, and axial tensile strength ft have significant influences on the shear performance of reinforced concrete columns. Moreover, the SHAP method also provides reasonably reliable analysis results for unknown samples. The study demonstrates that the data-driven and mechanism-driven neural network model and the SHAP interpretability method proposed in this paper can be applied to similar prediction problems of shear bearing capacity of reinforced concrete columns.

CLC number: TP181;TU375 Document code: A Article ID: 2096-7675(2025)01-0114-015

References

[1]
Ministry of Housing and Urban-Rural Development of the People’s Republic of China. Code for design of concrete structures: GB 50010—2010[S]. Beijing: China Architecture & Building Press, 2011. (in Chinese)
[2]
American Concrete Institute. Commentary on building code requirements for structural concrete(ACI 318R—19)[S]. Michigan: ACI Committee 318, 2019.
[3]
Eurocode 2: Design of concrete structures-Part 1-1: General rules and rules for buildings(Foreign Standard): ONORM EN 1992-1-1: 2005[S]. Austrian Standards Institute [on], 2005.
[4]
YU B, CHEN B, WU R L. Probabilistic model for shear strength of shear-critical reinforced concrete columns[J]. Engineering Mechanics, 2017, 34(7): 136-145. (in Chinese)
[5]
VECCHIO F J, COLLINS M P. The modified compression-field theory for reinforced concrete elements subjected to shear[J]. ACI Journal Proceedings, 1986, 83(2): 219-231.
[6]
VECCHIO F J, COLLINS M P. Predicting the response of reinforced concrete beams subjected to shear using the modified compression field theory[J]. ACI Structural Journal, 1988, 85(3): 258-268.
[7]
RITTER W. Die bauweise hennebique(hennebiques construction method)[J]. Schweizerische Bauzeitung, 1899, 33(7): 59-61.
[8]
OMRAN B A, CHEN Q, JIN R Y. Comparison of data mining techniques for predicting compressive strength of environmentally friendly concrete[J]. Journal of Computing in Civil Engineering, 2016, 30(6): 04016029.
[9]
LEE S, LEE C. Prediction of shear strength of FRP-reinforced concrete flexural members without stirrups using artificial neural networks[J]. Engineering Structures, 2014, 61: 99-112.
[10]
CHUN P J, OKUBO K, NADA C K N. Tensile strength prediction of corroded steel plates by using machine learning approach[J]. Steel and Composite Structures, 2017, 24(5): 635-641.
[11]
BASHIR R, ASHOUR A. Neural network modelling for shear strength of concrete members reinforced with FRP bars[J]. Composites Part B: Engineering, 2012, 43(8): 3198-3207.
[12]
WANG S X, MA C L, WANG W H, et al. Prediction of failure modes and minimum characteristic value of transverse reinforcement of RC beams based on interpretable machine learning[J]. Buildings, 2023, 13(2): 469.
[13]
MANSOUR M Y, DICLELI M, LEE J Y, et al. Predicting the shear strength of reinforced concrete beams using artificial neural networks[J]. Engineering Structures, 2004, 26(6): 781-799.
[14]
ABUODEH O R, ABDALLA J A, HAWILEH R A. Prediction of shear strength and behavior of RC beams strengthened with externally bonded FRP sheets using machine learning techniques[J]. Composite Structures, 2020, 234: 111698.
[15]
MANSOURI I, KISI O. Prediction of debonding strength for masonry elements retrofitted with FRP composites using neuro fuzzy and neural network approaches[J]. Composites Part B: Engineering, 2015, 70: 247-255.
[16]
ZHENG M J, LEI Z J, ZHANG K. Intelligent detection of building cracks based on deep learning[J]. Image and Vision Computing, 2020, 103: 103987.
[17]
YAN H Y, HE Z, GAO C, et al. Investment estimation of prefabricated concrete buildings based on XGBoost machine learning algorithm[J]. Advanced Engineering Informatics, 2022, 54: 101789.
[18]
XU J G, CHEN S Z, XU W J, et al. Concrete-to-concrete interface shear strength prediction based on explainable extreme gradient boosting approach[J]. Construction and Building Materials, 2021, 308: 125088.
[19]
MANGALATHU S, SHIN H, CHOI E, et al. Explainable machine learning models for punching shear strength estimation of flat slabs without transverse reinforcement[J]. Journal of Building Engineering, 2021, 39: 102300.
[20]
MANGALATHU S, KARTHIKEYAN K, FENG D C, et al. Machine-learning interpretability techniques for seismic performance assessment of infrastructure systems[J]. Engineering Structures, 2022, 250: 112883.
[21]
GAO X L, LIN C. Prediction model of the failure mode of beam-column joints using machine learning methods[J]. Engineering Failure Analysis, 2021, 120: 105072.
[22]
LIANG M F, CHANG Z, WAN Z, et al. Interpretable Ensemble-Machine-Learning models for predicting creep behavior of concrete[J]. Cement and Concrete Composites, 2022, 125: 104295.
[23]
SANNI B A, MOHAMED HAMDY M, AMMAR Y, et al. Explainable extreme gradient boosting tree-based prediction of load-carrying capacity of FRP-RC columns[J]. Engineering Structures, 2021, 245: 112836.
[24]
FENG D C, WANG W J, MANGALATHU S, et al. Interpretable XGBoost-SHAP machine-learning model for shear strength prediction of squat RC walls[J]. Journal of Structural Engineering, 2021, 147(11): 04021173.
[25]
XU J G, HONG W, ZHANG J, et al. Seismic performance assessment of corroded RC columns based on data-driven machine-learning approach[J]. Engineering Structures, 2022, 255: 113936.
[26]
MA C L, WANG W H, HOU X L, et al. Prediction of the shear cracking strength of RC deep beams based on the interpretable machine learning approach[J]. Journal of Xinjiang University(Natural Science Edition in Chinese and English), 2023, 40(5): 621-629. (in Chinese)
[27]
JIN L, WAN S Y, LI D, et al. Influence of stirrup ratio on size effect of shear strength of concrete bean-column joints reinforced with CFRP bars[J]. Scientia Sinica(Technologica), 2022, 52(10): 1484-1494. (in Chinese)
[28]
FAN X Q, GUO X, LIU A W, et al. Failure mode of RC frame columns based on the plane frame quasi-static test[J]. China Earthquake Engineering Journal, 2022, 44(5): 1074-1081. (in Chinese)
[29]
SHI Q X, WANG P, WANG Q W. Analysis of the influencing factors for the shear-bond failure of RC columns[J]. Engineering Mechanics, 2013, 30(11): 136-142+179. (in Chinese)
[30]
LIU L W. Study on seismic behavior of RC columns in flexural-shear failure[D]. Changsha: Hunan University, 2018. (in Chinese)
[31]
WANG Q F, ZHOU B, ZHENG J K, et al. Experimental study on seismic behavior of HRBF500 reinforced concrete short columns[J]. Building Structure, 2014, 44(1): 38-41+11. (in Chinese)
[32]
ZHANG Y Q. Experimental study on the seismic behavior of recycled concrete short columns with different stirrup ratios[J]. Building Structure, 2011, 41(S1): 272-276. (in Chinese)
[33]
SUN S X. Research on seismic performance of high-strength concrete short column reinforced with high-strength rebar[D]. Shenyang: Shenyang Jianzhu University, 2015. (in Chinese)
[34]
SHI Q X, YANG W X, WANG Q W, et al. Experimental research on seismic behavior of high-strength concrete short columns with high-strength stirrups[J]. Journal of Building Structures, 2012, 33(9): 49-58. (in Chinese)
[35]
SONG C. Experiments on seismic behavior of concrete short columns with HRB600 high-strength stirrups[D]. Tianjin: Hebei University of Technology, 2015. (in Chinese)
[36]
ZHANG H. Experimental study on shear behavior of ductile fiber reinforced concrete short column[D]. Xi’an: Xi’an University of Architecture and Technology, 2014. (in Chinese)
[37]
FENG T. Experimental research on seismic behavior of short column with ultra high toughness cementitious[D]. Shenyang: Shenyang Jianzhu University, 2016. (in Chinese)
[38]
LI Z B, XIE Y P, DU X L, et al. Size effect on shear behavior of reinforced concrete short columns[J]. China Civil Engineering Journal, 2014, 47(6): 26-33. (in Chinese)
[39]
CUI Y Q. Research of size effect on compressive and seismic behavior of CFRP reinforced concrete columns[D]. Beijing: Beijing University of Civil Engineering and Architecture, 2018. (in Chinese)
[40]
YUAN S G. Experimental study on the hysteretic behavior of preloaded concrete columns with CFRP confinement[D]. Shenyang: Northeastern University, 2009. (in Chinese)
[41]
ZHENG S B. Seismic behavior of FRP-ECC reinforced concrete columns with ductile hinges[D]. Shenzhen: Shenzhen University, 2018. (in Chinese)
[42]
JIN M X. Seismic performance of FRP-steel composite tube confined columns[D]. Dalian: Dalian University of Technology, 2016. (in Chinese)
[43]
WEI Y F. Experimental study on seismic performance of RC short column retrofitted by prestressed steel strip[D]. Xi’an: Xi’an University of Architecture and Technology, 2013. (in Chinese)
[44]
LI C L. Study on seismic performance of RC columns with high compressive ratio retrofitted by prestressing steel plate hoops[D]. Quanzhou: Huaqiao University, 2007. (in Chinese)
[45]
ZHANG Z M. Seismic behavior of reinforced concrete square columns strengthened by prestressed CERP-RPC method[D]. Guilin: Guilin University of Technology, 2020. (in Chinese)
[46]
WANG Q F, SHEN Z C, YANG Y X, et al. Seismic behavior of HRB400 reinforcement concrete short columns[J]. Journal of Building Structures, 2008, 29(2): 114-117. (in Chinese)
[47]
SUN Z G, SI B J, GUO X, et al. Experimental research on the shear-bond failure of RC columns under seismic action[J]. Engineering Mechanics, 2011, 28(3): 109-117+149. (in Chinese)
[48]
ZHANG Q. Study on seismic performance considering shear effects and residual deformations of reinforced concrete columns[D]. Dalian: Dalian University of Technology, 2014. (in Chinese)
[49]
GUO J M, XIE Y P, ZHANG L, et al. Experimental study on shear-bond failure of large-scale reinforced concrete short columns with high axial compression ratio[J]. Building Structure, 2019, 49(12): 89-93+133. (in Chinese)
[50]
LIU W. Seismic behavior of reinforced concrete short columns with minimum reinforcements[D]. Chongqing: Chongqing University, 2013. (in Chinese)
[51]
DENG M K, ZHANG H, LIANG X W, et al. Experimental study on seismic behavior of high ductile fiber reinforced concrete short column[J]. Journal of Building Structures, 2015, 36(12): 62-69. (in Chinese)
[52]
JIA J Q, ZHAO G F. Experimental research on mechanical performance of high-strength concrete frame short columns[J]. Journal of Building Structures, 2001, 22(3): 43-47. (in Chinese)
[53]
LIU W L. Experimental investigation and numerical simulate on seismic behavior of PVA fiber-reinforced concrete columns[D]. Lanzhou: Lanzhou University of Technology, 2016. (in Chinese)
[54]
CHEN J B. Research on seismic performance of high strength fiber-reinforced concrete columns[D]. Nanjing: Southeast University, 2020. (in Chinese)
[55]
ZHANG C. Seismic behavior of corroded RC columns wrapped with PET sheet[D]. Hangzhou: Zhejiang University, 2016. (in Chinese)
[56]
HU H J. Research on seismic behavior of precast confined high strength concrete columns with different stirrup ratio[D]. Quanzhou: Huaqiao University, 2020. (in Chinese)
[57]
SHI J C. Study on seismic behavior of reinforced concrete columns with permanent template of ultra-high performance concrete[D]. Xi’an: Xi’an University of Architecture and Technology, 2019. (in Chinese)
[58]
ZHANG Z C. Experimental research on seismic performance of new fabricated confined concrete column with steel plate and horizontal strengthened bars[D]. Xi’an: Xi’an University of Architecture and Technology, 2013. (in Chinese)
[59]
WANG X Y. Experimental study on seismic behavior of high-strength concrete columns with expanded metal lath[D]. Beijing: Beijing University of Technology, 2018. (in Chinese)
[60]
HU W Q. Experimental study on seismic shear performance of high-strength reinforced concrete columns[D]. Chongqing: Chongqing University, 2018. (in Chinese)
[61]
TRAN C T N. Experimental and analytical studies on the seismic behavior of reinforced concrete columns with light transverse reinforcement[D]. Singapore: Nanyang Technological University, 2010.
[62]
JIN C H, PAN Z F, MENG S P, et al. Seismic behavior of shear-critical reinforced high-strength concrete columns[J]. Journal of Structural Engineering, 2015, 141(8): 04014198.
[63]
ZHAO G Q. Research on seismic performance of split central column of metro station[D]. Xi’an: Chang’an University, 2021. (in Chinese)
[64]
ZHANG F. Experimental study on bearing capacity of concrete columns confined by high strength stirrups[J]. Journal of Taiyuan University(Natural Science Edition), 2017, 35(2): 10-14. (in Chinese)
[65]
LIU L. Experimental research on seismic shear behavior of reinforced concrete columns with CRB600H high-strength stirrups[D]. Chongqing: Chongqing University, 2019. (in Chinese)
[66]
ZHANG J J. Experimental performance research on the short concrete columns with HRB600 high strength stirrup[D]. Tianjin: Hebei University of Technology, 2015. (in Chinese)
[67]
WEI L. The experimental study on shear capacity for high-strength concrete columns with high-strength stirrup[D]. Xi’an: Xi’an University of Architecture and Technology, 2010. (in Chinese)
[68]
ZHENG W T. Experimental study on seismic behavior of short columns of after-mixing coarse aggregate concrete[D]. Dalian: Dalian University of Technology, 2020. (in Chinese)
[69]
LIAN X Q. Study on seismic performance of ultra-high toughness concrete short columns[D]. Quanzhou: Huaqiao University, 2019. (in Chinese)
[70]
YU H C. Research on seismic performance of steel reinforced UHTCC columns under complex seismic earthquakes[D]. Dalian: Dalian University of Technology, 2020. (in Chinese)
[71]
CHEN J. Experimental research and analysis on seismic performance of precast concrete bottom column[D]. Changsha: Hunan University, 2016. (in Chinese)
[72]
UMEHARA H, JIRSA J O. Shear strength and deterioration of short reinforced concrete columns under cyclic deformations[D]. Austin: University of Texas at Austin, 1983.
[73]
LYNN A C. Seismic evaluation of existing reinforced concrete building columns[D]. Berkeley: University of California, Berkeley, 2001.
[74]
SEZEN H, MOEHLE J P. Seismic tests of concrete columns with light transverse reinforcement[J]. ACI Structural Journal, 2006, 103(6): 842-849.
[75]
TAKAINE Y, YOSHIMURA M, NAKAMURA T. Collapse drift of reinforced concrete columns[J]. Journal of Structural and Construction Engineering(Transactions of AIJ), 2003, 68(573): 153-160.
[76]
XIAO Y, MARTIROSSYAN A. Seismic performance of high-strength concrete columns[J]. Journal of Structural Engineering, 1998, 124(3): 241-251.
[77]
PENG Y K. Experimental study on the seismic behavior of recycled concrete frame columns[D]. Beijing: Beijing University of Civil Engineering and Architecture, 2011. (in Chinese)
[78]
WIBOWO A, WILSON J L, LAM N, et al. Drift capacity of lightly reinforced concrete columns[J]. Australian Journal of Structural Engineering, 2014, 15(2): 522-535.
[79]
AZIZINAMINI A, BAUM KUSKA S S, BRUNGARDT P, et al. Seismic behavior of square high-strength concrete columns[J]. ACI Structural Journal, 1994, 91(3): 336-345.
[80]
OUSALEM H, KABEYASAWA T, TASAI A. Evaluation of ultimate deformation capacity at axial load collapse of reinforced concrete columns[C]//13th World Conference on Earthquake Engineering. August 1-6, 2004, Vancouver, Canada. WCEE, 2004: 370.
[81]
LAM S S E, WU B, WONG Y L, et al. Drift capacity of rectangular reinforced concrete columns with low lateral confinement and high-axial load[J]. Journal of Structural Engineering, 2003, 129(6): 733-742.
[82]
NAKAMURA T, YOSHIMURA M. Gravity load collapse of reinforced concrete columns with brittle failure modes[J]. Journal of Asian Architecture and Building Engineering, 2002, 1(1): 21-27.
[83]
LI Y A, HUANG Y T, HWANG S J. Seismic response of reinforced concrete short columns failed in shear[J]. ACI Structural Journal, 2014, 111(4): 945-954.
[84]
HAROON M, SHIN D, LEE J Y, et al. Deformability of reinforced concrete columns failing in shear after flexural reinforcement yielding[J]. ACI Structural Journal, 2020, 117(3): 71-90.
[85]
OU Y C, ALRASYID H, VAN BAO NGUYEN N. Minimum shear reinforcement for columns with high-strength reinforcement and concrete[J]. Journal of Structural Engineering, 2021, 147(2): 04020313.
[86]
YIN Q. Experimental study on shear resistance of concrete short columns under low cyclic loading[D]. Xiangtan: Xiangtan University, 2014. (in Chinese)
[87]
LIU J P, WANG W, ZHANG X D. Seismic behavior of reinforced-concrete and steel reinforced concrete ultra short columns[J]. Journal of Southeast University(Natural Science Edition), 2009, 39(6): 1193-1199. (in Chinese)
[88]
WAN H T, GONG Z. Research on performance degradation of RC columns with high-strength stirrup[J]. Journal of Henan University(Natural Science), 2020, 50(5): 608-617. (in Chinese)
[89]
WANG J. Experimental research on seismic behavior of reinforced concrete columns assembled by grout-filled sleeve and mechanical connection[D]. Xi’an: Xi’an University of Architecture and Technology, 2013. (in Chinese)
[90]
LIU J W. Seismic behavior and design method of ECC/RC composite columns[D]. Nanjing: Southeast University, 2015. (in Chinese)
[91]
ZHANG H. Experimental research on sheer behavior of reinforced concrete columns combination rehabilitation with bonded steel angles and carbon fiber reinforced polymer sheet[D]. Wuhan: Wuhan University, 2005. (in Chinese)
[92]
CHEN J. Experimental research on seismic behavior of concrete column restrengthened with reinforced polymer[D]. Nanjing: Southeast University, 2004. (in Chinese)
[93]
LU Z Q, CHEN J K, CUI J, et al. The flexural strength and displacement ductility of reinforced concrete framed columns under cyclic loading[J]. Journal of Southwest JiaoTong University, 1987, 22(1): 1-11. (in Chinese)
[94]
YAO Y, LI G Z, GAO C Y, et al. Discussion on design value selection of axial compressive strength of over C80 concrete[J]. Coal Engineering, 2015, 47(1): 110-111+114. (in Chinese)
[95]
MA J. Variable selection with Copula Entropy[J]. Chinese Journal of Applied Probability and Statist, 2021, 37(4): 405-420.
[96]
MA J, SUN Z Q. Dependence structure estimation via Copula[EB/OL]. 2019: arXiv: 0804.4451v2. https://arxiv.org/pdf/0804.4451v2.pdf.
[97]
ZHOU Z H. Machine learning[M]. Beijing: Tsinghua University Press, 2016. (in Chinese)
[98]
SHCHERBAKOV M, BREBELS A, SHCHERBAKOVA N L, et al. A survey of forecast error measures[J]. World Applied Sciences Journal, 2013, 24(24): 171-176.
[99]
LUNDBERG S M, LEE S I. A unified approach to interpreting model predictions[C]//Proceedings of the 31st International Conference on Neural Information Processing Systems. December 4-9, 2017, Long Beach, California, USA. ACM, 2017: 4768-4777.
[100]
FERNANDO Z T, SINGH J, ANAND A. A study on the Interpretability of Neural Retrieval Models using DeepSHAP[C]//Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval. Paris, France. ACM, 2019: 1005-1008.
[101]
MANGALATHU S, HWANG S H, JEON J S. Failure mode and effects analysis of RC members based on machine-learning-based SHapley Additive exPlanations(SHAP) approach[J]. Engineering Structures, 2020, 219: 110927.
[102]
SHRIKUMAR A, GREENSIDE P, KUNDAJE A. Learning important features through propagating activation differences[C]//Proceedings of the 34th International Conference on Machine Learning - Volume 70. August 6-11, 2017, Sydney, NSW, Australia. ACM, 2017: 3145-3153.
[103]
FENG D C, WU G. Interpretable machine learning-based modeling approach for fundamental properties of concrete structures[J]. Journal of Building Structures, 2022, 43(4): 228-238. (in Chinese)
[104]
SHAO P, YANG J Y, SU S D, et al. Interpretable machine learning: Models, methods and practices[M]. Beijing: China Machine Press, 2022. (in Chinese)
[105]
CHRISTOPH M. Interpretable machine learning: A guide for making Black Box models interpretable[M]. Beijing: Publishing House of Electronics Industry, 2021. (in Chinese)
[106]
LEONIDA Z, ANTONIO D S. Explainable AI with Python[M]. Beijing: Tsinghua University Press, 2022. (in Chinese)
Journal of Xinjiang University(Natural Science Edition in Chinese and English)
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Cite this article:
CHANG X, MA C, XIAO X, et al. Neural Network Prediction Model for Shear Bearing Capacity of RC Columns and Its Interpretability. Journal of Xinjiang University(Natural Science Edition in Chinese and English), 2025, 42(1): 114-128. https://doi.org/10.13568/j.cnki.651094.651316.2023.11.04.0001
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