Abstract

RC shear walls are commonly used as lateral load-resisting elements in seismic regions, and the estimation of their shear strengths can become simultaneously design-critical and complex when they have so-called squat geometries, i.e., height-to-length ratios less than two. This paper presents a study on the training and interpretation of an advanced machine-learning model that strategically combines two algorithms for the said purpose. To train the model, a comprehensive shear strength database of 434 samples of squat RC walls is utilized. First, the eXtreme Gradient Boosting (XGBoost) algorithm is used to establish a predictive model for estimating the shear strength, wherein 70% and 30% of the data are respectively used for training and validation. This effort resulted in an approximately 97% validation accuracy, which well exceeds current mechanics-based/semiempirical models. Second, the SHapley Additive exPlanations (SHAP) algorithm is used to estimate the relative importance of the factors affecting XGBoost’s shear strength estimates. This step thus enabled physical and quantitative interpretations of the input-output dependencies, which are nominally hidden in conventional machine-learning approaches. Through this setup, several squat wall attributes are identified as being critical in shear strength estimates.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

The data, model, and source codes generated or used during the study will be available in an online repository in accordance with the original owner’s data retention policies (https://github.com/dcfeng-87/Interpretable-ML-shear-squat-wall).

Acknowledgments

The authors greatly appreciate the financial support of the National Natural Science Foundation of China (Grant No. 52078119) that enabled the first author to spend a term as a Visiting Scholar at University of California, Los Angeles.

References

ACI (American Concrete Institute). 2014. Building code requirements for structural concrete. ACI Committee 318. Farmington Hills, MI: ACI.
Alipour, M., D. K. Harris, and G. R. Miller. 2019. “Robust pixel-level crack detection using deep fully convolutional neural networks.” J. Comput. Civ. Eng. 33 (6): 04019040. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000854.
Altmann, A., L. Toloşi, O. Sander, and T. Lengauer. 2010. “Permutation importance: a corrected feature importance measure.” Bioinformatics 26 (10): 1340–1347. https://doi.org/10.1093/bioinformatics/btq134.
ASCE. 2005. Seismic design criteria for structures, systems, and components in nuclear facilities. Reston, VA: ASCE.
Chen, T., and C. Guestrin. 2016. “XGBoost: A scalable tree boosting system.” In Proc., 22nd ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, 785–794. New York: Association for Computing Machinery.
El-Dakhakhni, W. W., B. R. Banting, and S. C. Miller. 2013. “Seismic performance parameter quantification of shear-critical reinforced concrete masonry squat walls.” J. Struct. Eng. 139 (6): 957–973. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000713.
Ezzeldin, M., and W. El-Dakhakhni. 2020. “Metaresearching structural engineering using text mining: Trend identifications and knowledge gap discoveries.” J. Struct. Eng. 146 (5): 04020061. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002523.
Feng, D.-C., B. Cetiner, M. Reza Azadi Kakavand, and E. Taciroglu. 2021. “Data-driven approach to predict the plastic hinge length of reinforced concrete columns and its application.” J. Struct. Eng. 147 (2): 0402332. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002852.
Feng, D.-C., and B. Fu. 2020. “Shear strength of internal reinforced concrete beam-column joints: Intelligent modeling approach and sensitivity analysis.” Adv. Civ. Eng. 2020: 8850417.
Feng, D.-C., Z.-T. Liu, X.-D. Wang, Y. Chen, J.-Q. Chang, D.-F. Wei, and Z.-M. Jiang. 2020a. “Machine learning-based compressive strength prediction for concrete: An adaptive boosting approach.” Constr. Build. Mater. 230 (Jan): 117000. https://doi.org/10.1016/j.conbuildmat.2019.117000.
Feng, D.-C., Z.-T. Liu, X.-D. Wang, Z.-M. Jiang, and S.-X. Liang. 2020b. “Failure mode classification and bearing capacity estimation for reinforced concrete columns based on ensemble machine learning algorithm.” Adv. Eng. Inf. 45 (Augt): 101126. https://doi.org/10.1016/j.aei.2020.101126.
Gondia, A., M. Ezzeldin, and W. El-Dakhakhni. 2020. “Mechanics-guided genetic programming expression for shear-strength prediction of squat reinforced concrete walls with boundary elements.” J. Struct. Eng. 146 (11): 04020223. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002734.
Gulec, C. K., A. S. Whittaker, and B. Stojadinovic. 2008. “Shear strength of squat rectangular reinforced concrete walls.” ACI Struct. J. 105 (4): 488–497.
Hirosawa, M. 1975. Past experimental results on reinforced concrete shear walls and analysis on them., 277. Tokyo: Ministry of Construction.
Hwang, S.-J., W.-H. Fang, H.-J. Lee, and H.-W. Yu. 2001. “Analytical model for predicting shear strengthof squat walls.” J. Struct. Eng. 127 (1): 43–50. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:1(43).
Kassem, W. 2015. “Shear strength of squat walls: A strut-and-tie model and closed-form design formula.” Eng. Struct. 84: 430–438. https://doi.org/10.1016/j.engstruct.2014.11.027.
Kiani, J., C. Camp, and S. Pezeshk. 2019. “On the application of machine learning techniques to derive seismic fragility curves.” Comput. Struct. 218 (Jul): 108–122. https://doi.org/10.1016/j.compstruc.2019.03.004.
Li, B., Z. Pan, and W. Xiang. 2015. “Experimental evaluation of seismic performance of squat rc structural walls with limited ductility reinforcing details.” J. Earthquake Eng. 19 (2): 313–331. https://doi.org/10.1080/13632469.2014.962669.
Li, B., K. Qian, and H. Wu. 2016. “Flange effects on seismic performance of reinforced concrete squat walls with irregular or regular openings.” Eng. Struct. 110 (Feb): 127–144. https://doi.org/10.1016/j.engstruct.2015.11.051.
Lundberg, S. M., G. Erion, H. Chen, A. DeGrave, J. M. Prutkin, B. Nair, R. Katz, J. Himmelfarb, N. Bansal, and S.-I. Lee. 2020. “From local explanations to global understanding with explainable AI for trees.” Nat. Mach. Intell. 2 (1): 56–67. https://doi.org/10.1038/s42256-019-0138-9.
Lundberg, S. M., and S.-I. Lee. 2017. “A unified approach to interpreting model predictions.” In Proc., 31st Conf. on Neural Information Processing Systems, 4765–4774. Red Hook, NY: Curran Associates.
Mangalathu, S., and H. V. Burton. 2019. “Deep learning-based classification of earthquake-impacted buildings using textual damage descriptions.” Int. J. Disaster Risk Reduct. 36 (May): 101111. https://doi.org/10.1016/j.ijdrr.2019.101111.
Mangalathu, S., H. Jang, S.-H. Hwang, and J.-S. Jeon. 2020. “Data-driven machine-learning-based seismic failure mode identification of reinforced concrete shear walls.” Eng. Struct. 208 (Apr): 110331. https://doi.org/10.1016/j.engstruct.2020.110331.
Mangalathu, S., and J.-S. Jeon. 2019. “Machine learning–based failure mode recognition of circular reinforced concrete bridge columns: Comparative study.” J. Struct. Eng. 145 (10): 04019104. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002402.
Mangalathu, S., and J.-S. Jeon. 2020. “Ground motion-dependent rapid damage assessment of structures based on wavelet transform and image analysis techniques.” J. Struct. Eng. 146 (11): 04020230. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002793.
Mangalathu, S., J.-S. Jeon, and R. DesRoches. 2018. “Critical uncertainty parameters influencing seismic performance of bridges using lasso regression.” Earthquake Eng. Struct. Dyn. 47 (3): 784–801. https://doi.org/10.1002/eqe.2991.
Massone, L. M. 2010. “Strength prediction of squat structural walls via calibration of a shear–flexure interaction model.” Eng. Struct. 32 (4): 922–932. https://doi.org/10.1016/j.engstruct.2009.12.018.
Massone, L. M., and F. Melo. 2018. “General solution for shear strength estimate of RC elements based on panel response.” Eng. Struct. 172 (Oct): 239–252. https://doi.org/10.1016/j.engstruct.2018.06.038.
Massone, L. M., K. Orakcal, and J. W. Wallace. 2009. “Modelling of squat structural walls controlled by shear.” ACI Struct. J. 106 (5): 646–655.
Miller, T. 2019. “Explanation in artificial intelligence: Insights from the social sciences.” Artif. Intell. 267 (Feb): 1–38. https://doi.org/10.1016/j.artint.2018.07.007.
Molnar, C. 2020. “Interpretable machine learning. A Guide for making black box models explainable.” Accessed July 28, 2021. https://christophm.github.io/interpretable-ml-book/.
Nguyen, H., X.-N. Bui, H.-B. Bui, and D. T. Cuong. 2019. “Developing an xgboost model to predict blast-induced peak particle velocity in an open-pit mine: a case study.” Acta Geophys. 67 (2): 477–490. https://doi.org/10.1007/s11600-019-00268-4.
Ning, C.-L., and B. Li. 2017. “Probabilistic development of shear strength model for reinforced concrete squat walls.” Earthquake Eng. Struct. Dyn. 46 (6): 877–897. https://doi.org/10.1002/eqe.2834.
Seo, J., L. Dueñas-Osorio, J. I. Craig, and B. J. Goodno. 2012. “Metamodel-based regional vulnerability estimate of irregular steel moment-frame structures subjected to earthquake events.” Eng. Struct. 45 (Dec): 585–597. https://doi.org/10.1016/j.engstruct.2012.07.003.
Shekhar, S., and J. Ghosh. 2020. “A metamodeling based seismic life-cycle cost assessment framework for highway bridge structures.” Reliab. Eng. Syst. Saf. 195 (Mar): 106724. https://doi.org/10.1016/j.ress.2019.106724.
Shiga, T., A. Shibata, and J. Takahashi. 1973. “Experimental study of dynamic properties of reinforced concrete shear walls.” In Proc., 5th World Conf. on Earthquake Engineering, 221–241. Tokyo: International Association for Earthquake Engineering.
Siam, A., M. Ezzeldin, and W. El-Dakhakhni. 2019. “Machine learning algorithms for structural performance classifications and predictions: Application to reinforced masonry shear walls.” Structures 22 (Dec): 252–265. https://doi.org/10.1016/j.istruc.2019.06.017.
Štrumbelj, E., and I. Kononenko. 2014. “Explaining prediction models and individual predictions with feature contributions.” Knowl. Inf. Syst. 41 (3): 647–665. https://doi.org/10.1007/s10115-013-0679-x.
Wang, Z., N. Pedroni, I. Zentner, and E. Zio. 2018. “Seismic fragility analysis with artificial neural networks: Application to nuclear power plant equipment.” Eng. Struct. 162 (Mar): 213–225. https://doi.org/10.1016/j.engstruct.2018.02.024.
Wood, S. L. 1990. “Shear strength of low-rise reinforced concrete walls.” ACI Struct. J. 87 (1): 99–107.
Yu, H.-W., and S.-J. Hwang. 2005. “Evaluation of softened truss model for strength prediction of reinforced concrete squat walls.” J. Eng. Mech. 131 (8): 839–846. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:8(839).
Zhang, D., L. Qian, B. Mao, C. Huang, B. Huang, and Y. Si. 2018. “A data-driven design for fault detection of wind turbines using random forests and xgboost.” IEEE Access 6 (Aug): 21020–21031. https://doi.org/10.1109/ACCESS.2018.2818678.
Zhao, X., R. Lovreglio, and D. Nilsson. 2020. “Modelling and interpreting pre-evacuation decision-making using machine learning.” Autom. Constr. 113 (Jun): 103140. https://doi.org/10.1016/j.autcon.2020.103140.
Zhong, J., Y. Sun, W. Peng, M. Xie, J. Yang, and X. Tang. 2018. “Xgbfemf: An xgboost-based framework for essential protein prediction.” IEEE Trans. Nanobiosci. 17 (3): 243–250. https://doi.org/10.1109/TNB.2018.2842219.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 147Issue 11November 2021

History

Received: Jul 12, 2020
Accepted: Apr 28, 2021
Published online: Aug 26, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 26, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China (corresponding author). ORCID: https://orcid.org/0000-0003-3691-6128. Email: [email protected]
Wen-Jie Wang
Graduate Student, School of Civil Engineering, Southeast Univ., Nanjing 211189, China.
Sujith Mangalathu, Ph.D., A.M.ASCE [email protected]
Research Scientist, Data Analytics Division, Mangalathu, Mylamkulam, Kottarakara, Kollam, Kerala 691507, India. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Los Angeles, Los Angeles, CA 90095. ORCID: https://orcid.org/0000-0001-9618-1210. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Explainable XGBoost–SHAP Machine-Learning Model for Prediction of Ground Motion Duration in New Zealand, Natural Hazards Review, 10.1061/NHREFO.NHENG-1837, 25, 2, (2024).
  • Ensemble Machine-Learning-Based Prediction Models for the Compressive Strength of Recycled Powder Mortar, Materials, 10.3390/ma16020583, 16, 2, (583), (2023).
  • Comprehensible Machine-Learning-Based Models for the Pre-Emptive Diagnosis of Multiple Sclerosis Using Clinical Data: A Retrospective Study in the Eastern Province of Saudi Arabia, International Journal of Environmental Research and Public Health, 10.3390/ijerph20054261, 20, 5, (4261), (2023).
  • Prediction of Failure Modes and Minimum Characteristic Value of Transverse Reinforcement of RC Beams Based on Interpretable Machine Learning, Buildings, 10.3390/buildings13020469, 13, 2, (469), (2023).
  • Integration of shapley additive explanations with random forest model for quantitative precipitation estimation of mesoscale convective systems, Frontiers in Environmental Science, 10.3389/fenvs.2022.1057081, 10, (2023).
  • Estimating stay cable vibration under typhoon with an explainable ensemble learning model, Structure and Infrastructure Engineering, 10.1080/15732479.2023.2165121, (1-13), (2023).
  • Effects of Rebar Size and Volume Fraction of Glass Fibers on Tensile Strength Retention of GFRP Rebars in Alkaline Environment via RSM and SHAP Analyses, Journal of Materials in Civil Engineering, 10.1061/JMCEE7.MTENG-15589, 35, 9, (2023).
  • Embedding Prior Knowledge into Data-Driven Structural Performance Prediction to Extrapolate from Training Domains, Journal of Engineering Mechanics, 10.1061/JENMDT.EMENG-7062, 149, 12, (2023).
  • Design-Oriented Machine-Learning Models for Predicting the Shear Strength of Prestressed Concrete Beams, Journal of Bridge Engineering, 10.1061/JBENF2.BEENG-6013, 28, 4, (2023).
  • Shear Strength Prediction of Slender Concrete Beams Reinforced with FRP Rebar Using Data-Driven Machine Learning Algorithms, Journal of Composites for Construction, 10.1061/(ASCE)CC.1943-5614.0001280, 27, 2, (2023).
  • See more

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share