Statistical Prediction of Center Negative Bending Capacity of Pretensioned Concrete Crossties
Publication: Journal of Transportation Engineering, Part A: Systems
Volume 146, Issue 2
Abstract
When concrete railway crossties are installed in North American freight track and subjected to flexural loads, center negative bending is one of the most critical demands. However, the ultimate flexural capacity at the crosstie center is often unknown and hard to obtain. Because railroads do not always know what the remaining flexural capacity of concrete crossties is, it becomes difficult to assess whether crossties should be removed from service or if it is safe to increase axle loads as an example. To address this challenge, we present a predictive mathematical model based on laboratory experimentation data of various common pretensioned concrete crosstie designs to estimate their center negative bending strength. The model is developed using least absolute shrinkage and selection operator (LASSO) techniques. The final derived equation uses predictor variables that are easily interpreted and applied, and the results are adequate for approximations when limited information is available about the crossties’ characteristics and lengthy structural calculations or additional laboratory testing is not practical. For the investigated crosstie designs, the maximum prediction error was 5.5%.
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Acknowledgments
This research effort is funded by the Federal Railroad Administration (FRA), part of the US DOT. This study was also supported by the National University Rail Center, a US DOT Office of the Assistant Secretary for Research and Technology Tier 1 University Transportation Center. The material in this paper represents the position of the authors and not necessarily that of sponsors. The authors also would like to acknowledge the following industry partners: Union Pacific Railroad; BNSF Railway; National Railway Passenger Corporation (Amtrak); Progress Rail Services, Inc.; GIC USA; Hanson Professional Services, Inc.; and CXT Concrete Ties, Inc., an LB Foster Company. J. Riley Edwards has been supported in part by the grants to the University of Illinois Rail Transportation and Engineering Center (RailTEC) from Canadian National and Hanson Professional Services.
References
ACI (American Concrete Institute). 2014. Building code requirements for structural concrete (ACI 318-14) and commentary (ACI 318R-14). ACI 318. Farmington Hills, MI: ACI.
Bastos, J. C., M. S. Dersch, and J. R. Edwards. 2015. “Determination of critical track conditions and their impact on the performance of concrete crossties and fastening systems.” In Proc., AREMA 2015 Annual Conf. Lanham, MD: AREMA.
Bastos, J. C., M. S. Dersch, J. R. Edwards, A. Álvarez-Reyes, and C. P. L. Barkan. 2018. “Laboratory characterization of structural capacity of North American heavy haul concrete crossties.” Transp. Res. Rec. 2672 (10): 116–124. https://doi.org/10.1177/0361198118782250.
Bastos, J. C., M. S. Dersch, J. R. Edwards, and B. O. Andrawes. 2017. “Flexural behavior of concrete crossties under different support conditions.” J. Transp. Eng. Part A: Syst. 143 (12): 04017064. https://doi.org/10.1061/JTEPBS.0000097.
Box, G. E. P., and D. R. Cox. 1964. “An analysis of transformations.” J. Royal Stat. Soc. Ser. B (Methodol.) 26 (2): 211–243. https://doi.org/10.1111/j.2517-6161.1964.tb00553.x.
Brown, M. B., and A. B. Forsythe. 1974. “Robust tests for the equality of variances.” J. Am. Stat. Assoc. 69 (346): 364–367. https://doi.org/10.1080/01621459.1974.10482955.
Cook, R. D. 1979. “Influential observations in linear regression.” J. Am. Stat. Assoc. 74 (365): 169–174. https://doi.org/10.1080/01621459.1979.10481634.
Durbin, J., and G. S. Watson. 1950. “Testing for serial correlation in least squares regression. I.” Biometrika 37 (3–4): 409–428. https://doi.org/10.2307/2332391.
Durbin, J., and G. S. Watson. 1951. “Testing for serial correlation in least squares regression. II.” Biometrika 38 (1–2): 159–178. https://doi.org/10.1093/biomet/38.1-2.159.
Hognestad, E., N. W. Hanson, and D. McHenry. 1955. “Concrete stress distribution in ultimate strength design.” J. Proc. 52 (12): 455–480. https://doi.org/10.14359/11609.
Momeni, A. F. 2016. “Effect of concrete properties and prestressing steel indentation types on the development length and flexural capacity of pretensioned concrete members.” Ph.D. thesis, Dept. of Civil Engineering, Kansas State Univ.
Neter, J., M. H. Kutner, C. J. Nachtsheim, and W. Wasserman. 1996. Applied linear statistical models. Chicago: Irwin.
Pearson, K. 1895. “Note on regression and inheritance in the case of two parents.” Proc. R. Soc. London 58 (347–352): 240–242. https://doi.org/10.1098/rspl.1895.0041.
Riding, K. A., R. J. Peterman, S. Guthrie, M. Brueseke, H. Mosavi, K. Daily, and W. Risovi-Hendrickson. 2018. “Environmental and track factors that contribute to abrasion damage.” In Proc., 2018 Joint Rail Conf. New York: ASME.
Schwarz, G. 1978. “Estimating the dimension of a model.” Ann. Stat. 6 (2): 461–464. https://doi.org/10.1214/aos/1176344136.
Shapiro, S. S., and M. B. Wilk. 1965. “An analysis of variance test for normality (complete samples).” Biometrika 52 (3–4): 591–611. https://doi.org/10.1093/biomet/52.3-4.591.
Tibshirani, R. 1996. “Regression shrinkage and selection via the LASSO.” J. R. Stat. Soc. Ser. B (Methodol.) 58 (1): 267–288. https://doi.org/10.1111/j.2517-6161.1996.tb02080.x.
Van Dyk, B. 2014. “Characterization of the loading environment for shared-use railway superstructure in North America.” Master’s thesis, Dept. of Civil and Environmental Engineering, Univ. of Illinois at Urbana-Champaign.
Vemuganti, S., and F. Moreu. 2017. “Survey about bottom surface abrasion of concrete crossties.” In Proc., Transportation Research Board 96th Annual Meeting. Washington, DC: Transportation Research Board.
Weber, J. W. 1969. “Concrete crossties in the United States.” PCI J. 14 (1): 46–61. https://doi.org/10.15554/pcij.02011969.46.61.
Whitney, C. S. 1937. “Design of reinforced concrete members under flexure or combined flexure and direct compression.” J. Am. Concr. Inst. 33 (3): 483–498. https://doi.org/10.14359/8429.
Wolf, H. E., S. Mattson, J. R. Edwards, M. S. Dersch, and C. P. Barkan. 2014. “Flexural analysis of prestressed concrete monoblock crossties: Comparison of current methodologies and sensitivity to support conditions.” In Proc., Transportation Research Board 94th Annual Meeting. Washington, DC: Transportation Research Board.
Yu, H. 2016. “Estimating deterioration in the concrete tie-ballast interface based on vertical tie deflection profile: A numerical study.” In Proc., 2016 Joint Rail Conf. New York: ASME.
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©2019 American Society of Civil Engineers.
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Received: Mar 19, 2019
Accepted: Jul 23, 2019
Published online: Dec 12, 2019
Published in print: Feb 1, 2020
Discussion open until: May 12, 2020
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