Skip to main content
Log in

Revisiting Forgotten Fire Tests: Causal Inference and Counterfactuals for Learning Idealized Fire-Induced Response of RC Columns

  • Published:
Fire Technology Aims and scope Submit manuscript

Abstract

The expensive nature and unique facilities required for fire testing make it difficult to conduct comprehensive experimental campaigns. As such, engineers can often afford to test a small number of specimens. This complicates attaining a proper inference, especially when addressing questions in the form of what would have been the fire response of a particular specimen had it been twice as large? Or had it been made from a different material grade? In hindsight, answering causal and hypothetical (counterfactual) questions goes beyond the capacity of statistical and machine learning methods which were built to address observational data. To overcome the above challenges, this paper presents a causal approach to answering such questions. In this approach, principles of causal inference are adopted to reconstruct the deformation-time history of reinforced concrete (RC) columns and propose an idealized fire response for these columns. The findings of this study indicate the significant influence of the loading level, aggregate type, and longitudinal steel ratio on the deformation history of fire-exposed RC columns.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16

Similar content being viewed by others

Data Availability

Some or all the data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Notes

  1. It should be noted that the size effect is more likely to influence the cross sectional temperature distribution as well as core temperature of columns. The disucssion of this section is limited to the temperature rise in steel rebars which happen to be at 48 mm away from the surface of the concrete for all columns.

References

  1. Lie T, Woollerton J (1988) Fire resistance of reinforced concrete columns. NRC Publications Archive—National Research Council Canada. https://doi.org/10.4224/20386656

    Article  Google Scholar 

  2. Liet T, Allen D (2022) Calculation of the fire resistance of reinforced concrete columns. NRC Publications Archive—Canada. https://doi.org/10.4224/40001205

    Article  Google Scholar 

  3. Allen D, Lie T (1974) Further studies of the fire resistance of reinforced concrete columns. NRC Publications Archive—Canada. https://doi.org/10.4224/40001183

    Article  Google Scholar 

  4. Lie TT, Irwin RJ (1993) Method to calculate the fire resistance of reinforced concrete columns with rectangular cross section. ACI Struct J 90:52–60. https://doi.org/10.14359/4210

    Article  Google Scholar 

  5. Wu H, Lie T (1992) Fire resistance of reinforced concrete columns: experimental studies. NRC Publications Archive—Canada. https://doi.org/10.4224/20375195

    Article  Google Scholar 

  6. Lawson JR (2009) A history of fire testing. NIST Tech. https://doi.org/10.1038/130562a0

    Article  Google Scholar 

  7. Sultan MA (2022) Review of the NRC Canada studies on fire resistance of walls: results. Res Gaps Des Guidelines Fire Technol. https://doi.org/10.1007/S10694-022-01312-4/FIGURES/9

    Article  Google Scholar 

  8. Janss J (1995) Statistical analysis of fire tests on steel beams and columns to Eurocode 3, Part 1.2. J Constr Steel Res. https://doi.org/10.1016/0143-974X(94)00017-C

    Article  Google Scholar 

  9. Kodur V, Naser MZ (2020) Structural fire engineering, 1st edn. McGraw Hill Professional, New York

    Google Scholar 

  10. Naser MZ (2022) Causality in structural engineering: discovering new knowledge by tying induction and deduction via mapping functions and explainable artificial intelligence. AI Civ Eng. https://doi.org/10.1007/s43503-022-00005-9

    Article  Google Scholar 

  11. Box GEP, Hunter JS, Hunter WG (1978) Statistics for experimenters: an introduction to design, data analysis, and model building. Wiley, Hoboken

    MATH  Google Scholar 

  12. Wade C, Cowles G, Potter R, Sanders P (1997) Concrete blade columns in fire wade—Google Scholar, in: Concr. 97 Conf., Adelaide, Australia. https://scholar.google.com/scholar?hl=en&as_sdt=0%2C41&q=Concrete+Blade+Columns+in+Fire+wade&btnG=. Accessed 6 Nov 2022

  13. Jain A, Patel H, Nagalapatti L, Gupta N, Mehta S, Guttula S, Mujumdar S, Afzal S, Sharma Mittal R, Munigala V (2020) Overview and importance of data quality for machine learning tasks. Proc ACM SIGKDD Int Conf Knowl Discov Data Min. https://doi.org/10.1145/3394486.3406477

    Article  Google Scholar 

  14. ECS (2005) EN 1993–1–2: Eurocode 3: Design of steel structures—Part 1–2: General rules—Structural fire design: European Committee for Standardisation: Free Download, Borrow, and Streaming: Internet Archive

  15. Ferreira J, Gernay T, Franssen J, Vassant O (2020) Discussion on a systematic approach to validation of software for structures in fire—Romeiro Ferreira Joao Daniel, in: SiF 2018 10th Int. Conf. Struct. Fire, Belfast, 2018. http://hdl.handle.net/2268/223208. Accessed 1 April 2020

  16. Yao L, Chu Z, Li S, Li Y, Gao J, Zhang A (2021) A survey on causal inference. ACM Trans Knowl Discov Data 15:1–46. https://doi.org/10.1145/3444944

    Article  Google Scholar 

  17. Pearl J, Makenzie D (2018) The book of why: the new science of cause and effect-basic books. Basic Books, New York

    Google Scholar 

  18. Naser MZ, Ciftcioglu AO (2022) Causal discovery and causal learning for fire resistance evaluation: incorporating domain knowledge. Machine Learn. https://doi.org/10.48550/arxiv.2204.05311

    Article  Google Scholar 

  19. Nogueira AR, Pugnana A, Ruggieri S, Pedreschi D, Gama J (2022) Methods and tools for causal discovery and causal inference, Wiley interdiscip. Rev Data Min Knowl Discov 12:e1449. https://doi.org/10.1002/WIDM.1449

    Article  Google Scholar 

  20. Khalilpourazari S, Mohammadi M (2018) A new exact algorithm for solving single machine scheduling problems with learning effects and deteriorating jobs. Comput Eng Finance Sci. https://doi.org/10.48550/ARXIV.1809.03795

    Article  Google Scholar 

  21. Khalilpourazari S, Hashemi Doulabi H (2022) Designing a hybrid reinforcement learning based algorithm with application in prediction of the COVID-19 pandemic in Quebec. Ann Oper Res 312:1261–1305. https://doi.org/10.1007/s10479-020-03871-7

    Article  MathSciNet  MATH  Google Scholar 

  22. Freund Y, Schapire RE (1996) Experiments with a new boosting algorithm, Proc 13th Int Conf Mach Learn

  23. LightGBM (2020) Welcome to LightGBM’s documentation!—LightGBM 3.1.1.99 documentation. https://lightgbm.readthedocs.io/en/latest/. Accessed 9 Feb 2021

  24. van Smeden M, Moons KG, de Groot JA, Collins GS, Altman DG, Eijkemans MJ, Reitsma JB (2018) Sample size for binary logistic prediction models: beyond events per variable criteria. Stat Methods Med Res 28:2455–2474. https://doi.org/10.1177/0962280218784726

    Article  MathSciNet  Google Scholar 

  25. Riley RD, Snell KIE, Ensor J, Burke DL, Harrell FE, Moons KGM, Collins GS (2019) Minimum sample size for developing a multivariable prediction model: PART II—binary and time-to-event outcomes. Stat Med. https://doi.org/10.1002/sim.7992

    Article  MathSciNet  Google Scholar 

  26. Frank I, Todeschini R (1994) The data analysis handbook. https://books.google.com/books?hl=en&lr=&id=SXEpB0H6L3YC&oi=fnd&pg=PP1&ots=zfmIRO_XO5&sig=dSX6KJdkuav5zRNxaUdcftGSn2k. Accessed 21 June 2019

  27. Naser MZ, Amir A, Alavi H (2021) Error metrics and performance fitness indicators for artificial intelligence and machine learning in engineering and sciences. Archit Struct Constr 1:1–19. https://doi.org/10.1007/S44150-021-00015-8

    Article  Google Scholar 

  28. Tapeh A, Naser MZ (2022) Artificial intelligence, machine learning, and deep learning in structural engineering: a scientometrics review of trends and best practices. Arch Comput Methods Eng. https://doi.org/10.1007/s11831-022-09793-w

    Article  Google Scholar 

  29. Pearl J (2009) Causal inference in statistics: an overview. Stat Surv. https://doi.org/10.1214/09-SS057

    Article  MathSciNet  MATH  Google Scholar 

  30. Heinze-Deml C, Maathuis MH, Meinshausen N (2018) Causal structure learning. Annu Rev Stat Its Appl. https://doi.org/10.1146/annurev-statistics-031017-100630

    Article  MathSciNet  Google Scholar 

  31. Scheines R (1999) An introduction to causal inference. White paper. https://www.cmu.edu/dietrich/philosophy/docs/scheines/introtocausalinference.pdf

  32. Kuang K, Li L, Geng Z, Xu L, Zhang K, Liao B, Huang H, Ding P, Miao W, Jiang Z (2020) Causal inference. Engineering 6:253–263. https://doi.org/10.1016/j.eng.2019.08.016

    Article  Google Scholar 

  33. Javier PJEA, Liponhay MP, Dajac CVG, Monterola CP (2022) Causal network inference in a dam system and its implications on feature selection for machine learning forecasting. Phys A Stat Mech Appl 604:127893. https://doi.org/10.1016/j.physa.2022.127893

    Article  MathSciNet  Google Scholar 

  34. Kleinberg S, Hripcsak G (2011) A review of causal inference for biomedical informatics. J Biomed Inform 44:1102–1112. https://doi.org/10.1016/j.jbi.2011.07.001

    Article  Google Scholar 

  35. Sharma A, Kiciman E et al (2019) DoWhy: a Python package for causal inference. https://github.com/microsoft/dowhy

  36. Sharma A, Kiciman E (2020) DoWhy: an end-to-end library for causal inference. Methodology. https://doi.org/10.48550/arxiv.2011.04216

    Article  Google Scholar 

  37. Blöbaum P, Götz P, Budhathoki K, Mastakouri AA, Janzing D (2022) DoWhy-GCM: an extension of DoWhy for causal inference in graphical causal models, Arxiv.Org/Pdf/2206.06821.Pdf. pp. 1–7

  38. Dickerman BA, Hernán MA (2020) Counterfactual prediction is not only for causal inference. Eur J Epidemiol 35:615–617. https://doi.org/10.1007/s10654-020-00659-8

    Article  Google Scholar 

  39. Battocchi K, Dillon E, Hei M, Lewis G, Oka P, Oprescu M, Syrgkanis V, Econ ML (2019) A Python Package for ML-Based Heterogeneous Treatment Effects Estimation, GitHub

  40. Syrgkanis V, Lewis G, Oprescu M, Hei M, Battocchi K, Dillon E, Pan J, Wu Y, Lo P, Chen H, Harinen T, Lee JY, Causal inference and machine learning in practice with EconML and CausalML: Industrial Use Cases at Microsoft, TripAdvisor, Uber, in: 2021 Knowl. Discov. Data Min., 2021.

  41. Pearl J (2013) Causal diagrams and the identification of causal effects. Causality. https://doi.org/10.1017/cbo9780511803161.005

    Article  Google Scholar 

  42. Imbens GW (2020) Potential outcome and directed acyclic graph approaches to causality: relevance for empirical practice in economics. J Econ Lit. https://doi.org/10.1257/JEL.20191597

    Article  Google Scholar 

Download references

Acknowledgements

We would like to thank the Editor and Reviewers for their support in this work and for constructive comments that enhanced the quality of this manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Z. Naser.

Ethics declarations

Conflict of interest

The authors declare no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Naser, M.Z., Çiftçioğlu, A.Ö. Revisiting Forgotten Fire Tests: Causal Inference and Counterfactuals for Learning Idealized Fire-Induced Response of RC Columns. Fire Technol 59, 1761–1788 (2023). https://doi.org/10.1007/s10694-023-01405-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10694-023-01405-8

Keywords

Navigation