A data-driven framework for assessing horizontal curve safety using friction and reliability analysis: a case study on an Indian highway

Authors

DOI:

https://doi.org/10.55329/uzno7733

Keywords:

advisory speed prediction, global sensitivity, reliability analysis, safety index, Southern Asia, low- and middle-income countries (LMICs)

Abstract

Horizontal curves are frequently associated with elevated crash risk because of the combined effects of vehicle speed, roadway geometry, and tire–pavement friction. This study examines these interactions using field data collected from five horizontal curves on NH-340C in India. An empirical model for estimating the maximum available side friction was developed using measured vehicle speeds, superelevation, and pavement surface texture represented by Mean Texture Depth (MTD). Curve safety was evaluated using three complementary indicators: the Safety Index (SI), Change in Safety Index (ΔSI), and Dynamic Curve Safety Index (DCSI), which together describe local stability conditions and safety variations along the curve. The calibrated friction model shows a decrease in available friction with increasing speed and a moderate increase with pavement texture, producing values in the range of 0.16–0.28 that are consistent with international design guidelines. Model reliability was evaluated using uncertainty and sensitivity analysis techniques, including the delta method, bootstrap resampling, the First-Order Reliability Method, and global sensitivity analysis using Sobol and Morris approaches. The results indicate that pavement texture and operating speed are the dominant factors influencing friction variability, while superelevation has a comparatively smaller effect. In addition, a regression-based model was developed to estimate mid-curve operating speeds, which can support the determination of advisory speeds for curve safety management.

Downloads

Download data is not yet available.

Author Biographies

R. Srinivasa Kumar, Osmania University, India

R. Srinivasa Kumar is a Professor in the Department of Civil Engineering at the University College of Engineering, Osmania University. He obtained his B.E. in Civil Engineering and M.E. and Ph.D. degrees in Transportation Engineering. His research interests include traffic engineering, pavement engineering, highway safety, and ITS. He received the IRC Commendation Certificate for a best research paper and the Best Teacher Award from Institution of Engineers (India). He has served as a technical expert for rural road programs under PMGSY while working at Banaras Hindu University. Dr. Kumar has authored seven books on transportation and highway engineering published by Universities Press and has extensive experience traffic analysis, road safety, and transportation planning.

CRediT contribution: Conceptualization, Methodology, Software, Supervision, Writing – original draft, Writing – review & editing.

Vemula Rajesh Kumar, Osmania University, India

Vemula Rajesh Kumar is a transportation engineering researcher specializing in road safety analysis, with particular focus on safety performance at horizontal curves. He holds an M. Tech in Transportation Engineering from Osmania University. His research interests include geometric design of highways, crash analysis, traffic safety evaluation, and the development of engineering solutions to reduce accidents on curved road sections.

CRediT contribution: Data curation, Formal analysis, Investigation.

References

AASHTO, (2018). A policy on geometric design of highways and streets. Washington, DC: American Association of State Highway and Transportation Officials.

Abohassan, A., El-Basyouny, K., & Kwon, T. J. (2022). Effects of inclement weather events on road surface conditions and traffic safety: An event-based empirical analysis framework. Transportation Research Record, 2676, 51-62. DOI: https://doi.org/10.1177/03611981221088588

ADQCC, (2023). TR-514 road design standards. Abu Dhabi Quality and Conformity Council.

Antony, M. M., Whenish, R., Kathiresh, M., & Neelaveni, R. (2021). Advanced driver assistance systems (ADAS). Automotive embedded systems, Kathiresh, M. & Neelaveni, R. (eds), Springer. 165-181. DOI: https://doi.org/10.1007/978-3-030-59897-6_9

Austroads, (2021). Guide to road design part 3: Geometric design (Edition 3.4).

Barnett, J. (1938). Transition curves for highways. Washington, DC: U.S. Government Printing Office.

Bennett, C. R. (1994). A speed prediction model for rural two-lane highways.

Beutner, E. (2024). Delta method: Asymptotic distribution. Wiley Interdisciplinary Reviews: Computational Statistics, 16(1), e1634. DOI: https://doi.org/10.1002/wics.1634

Bonneson, J. A. (1999). Side friction and speed as controls for horizontal curve design. Journal of Transportation Engineering, 125(6), 473-480. DOI: https://doi.org/10.1061/(ASCE)0733-947X(1999)125:6(473)

Bonneson, J. A. (2000). Kinematic approach to horizontal curve transition design. Transportation Research Record, 1737, 1-8. DOI: https://doi.org/10.3141/1737-01

Bonneson, J. A., & Pratt, M. P. (2009). Model for predicting speed along horizontal curves on two-lane highways. Transportation Research Record, 2092, 19-27. DOI: https://doi.org/10.3141/2092-03

Chen, S. S., Rakotonirainy, A., Loke, S., & Krishnaswamy, S. (2007). A crash risk assessment model for road curves. Proceedings of the 20th International Technical Conference on Enhanced Safety of Vehicles.

Chen, Z., & Fan, W. (2021). A freeway travel time prediction method based on an XGBoost model. Sustainability, 13(15), 8577. DOI: https://doi.org/10.3390/su13158577

CSIR, (2000). Guidelines for human settlement planning and design: Roads—Geometric design and layout planning.

Dash, D. P., Sethi, N., & Dash, A. K. (2020). Identifying the causes of road traffic accidents in India: An empirical investigation. Journal of Public Affairs, 20, e2038. DOI: https://doi.org/10.1002/pa.2038

Davis, B., Morris, N. L., Achtemeier, J. D., & Patzer, B. (2018). In-vehicle dynamic curve-speed warnings at high-risk rural curves.

Dixon, K., & Rohani, J. (2008). Methodologies for estimating advisory curve speeds on Oregon highways. Oregon Department of Transportation.

Donnell, E., Wood, J., Himes, S., & Torbic, D. (2016). Use of side friction in horizontal curve design: A margin of safety assessment. Transportation Research Record, 2588, 61-70. DOI: https://doi.org/10.3141/2588-07

Figueroa Medina, A. M., & Tarko, A. P. (2007). Speed changes in the vicinity of horizontal curves on two-lane rural roads. Journal of Transportation Engineering, 133(4), 215-222. DOI: https://doi.org/10.1061/(ASCE)0733-947X(2007)133:4(215)

Fitzpatrick, K. (2000). Design factors that affect driver speed on suburban arterials. Texas Transportation Institute.

Fleiter, J., & Watson, B. (2005). The speed paradox: The misalignment between driver attitudes and speeding behaviour. Australasian Road Safety Research, Policing and Education Conference.

Gattis, J. L., Vinson, B. F., & Duncan, L. K. (2005). Low-speed horizontal curve friction factors. Journal of Transportation Engineering, 131(2), 112-119. DOI: https://doi.org/10.1061/(ASCE)0733-947X(2005)131:2(112)

Gong, H., & Stamatiadis, N. (2008). Operating speed prediction models for horizontal curves on rural four-lane highways. Transportation Research Record, 2075, 1-7. DOI: https://doi.org/10.3141/2075-01

Han, L., Du, Z., Zheng, H., Xu, F., & Mei, J. (2023). Reviews and prospects of human factors research on curve driving. Journal of Traffic and Transportation Engineering. DOI: https://doi.org/10.1016/j.jtte.2023.04.007

Hassen, A., Godesso, A., Abebe, L., & Girma, E. (2011). Risky driving behaviours for road traffic accidents among drivers in Mekele city, Northern Ethiopia. BMC Research Notes, 4, 535. DOI: https://doi.org/10.1186/1756-0500-4-535

Himes, S., Porter, R. J., Hamilton, I., & Donnell, E. (2019). Safety evaluation of geometric design criteria: Horizontal curve radius and side friction demand on rural two-lane highways. Transportation Research Record, 2673, 516-525. DOI: https://doi.org/10.1177/0361198119835514

Hummer, J. E., Rasdorf, W. J., Findley, D., & Zegeer, C. V. (2010). Procedure for curve warning signing, delineation, and advisory speeds for horizontal curves. North Carolina Department of Transportation.

IRC, (2023). IRC:73-2023 geometric design standards for non-urban roads. Indian Roads Congress.

KOTI, (2013). Ten lessons from road transport policy in Korea. Korea Transport Institute.

Lee, E. H. (2023). Traffic speed prediction of urban road network based on high-importance links using XGBoost and SHAP. IEEE Access. DOI: https://doi.org/10.1109/ACCESS.2023.3324035

Levenberg, K. (1944). A method for the solution of certain nonlinear problems in least squares. Quarterly of Applied Mathematics, 2(2), 164-168. DOI: https://doi.org/10.1090/qam/10666

Llopis-Castelló, D., González-Hernández, B., Pérez-Zuriaga, A. M., & García, A. (2018). Speed prediction models for trucks on horizontal curves of two-lane rural roads. Transportation Research Record, 2672, 72-82. DOI: https://doi.org/10.1177/0361198118776111

Lu, X., Chen, C., Gao, R., & Xing, Z. (2023). Prediction of high-speed traffic flow around cities based on a BO-XGBoost model. Symmetry, 15(7), 1453 DOI: https://doi.org/10.3390/sym15071453

Mahmud, M. S., Bamney, A., Megat Johari, M. U., Jashami, H., Gates, T. J., & Savolainen, P. T. (2023). Evaluating driver response to a dynamic speed feedback sign at rural highway curves. Transportation Research Record, 2677, 1103-1114. DOI: https://doi.org/10.1177/03611981221112401

Malawi Roads Authority, (2020). Low volume roads manual: Geometric design and road safety.

Marquardt, D. W. (1963). An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal on Applied Mathematics, 11(2), 431-441. DOI: https://doi.org/10.1137/0111030

Melchers, R. E., & Beck, A. T. (2018). Structural reliability analysis and prediction. Wiley. DOI: https://doi.org/10.1002/9781119266105

McLean, J. (1981). Driver speed behaviour and rural road alignment design. Traffic Engineering and Control, 22.

Milstead, R., Qin, X., Katz, B., Bonneson, J. A., Pratt, M., Miles, J., & Carlson, P. J. (2011). Procedures for setting advisory speeds on curves. Federal Highway Administration.

Montella, A., & Imbriani, L. L. (2015). Safety performance functions incorporating design consistency variables. Accident Analysis & Prevention, 74, 133-144. DOI: https://doi.org/10.1016/j.aap.2014.10.019

MoRTH, (2022). Road accidents in India 2022. Ministry of Road Transport and Highways, Government of India.

MoRTH, (2023). Annual report 2023–24. Ministry of Road Transport and Highways, Government of India.

MoRTH, (2024). Annual report 2024–25. Ministry of Road Transport and Highways, Government of India.

Morris, M. D. (1991). Factorial sampling plans for preliminary computational experiments. Technometrics, 33(2), 161-174. DOI: https://doi.org/10.1080/00401706.1991.10484804

Nicholson, A. (1998). Superelevation, side friction, and roadway consistency. Journal of Transportation Engineering, 124(5), 411-418. DOI: https://doi.org/10.1061/(ASCE)0733-947X(1998)124:5(411)

Parsa, A. B., Movahedi, A., Taghipour, H., Derrible, S., & Mohammadian, A. K. (2020). Toward safer highways: Application of XGBoost and SHAP for real-time accident detection. Accident Analysis & Prevention, 136, 105405. DOI: https://doi.org/10.1016/j.aap.2019.105405

Pratt, M. P., Geedipally, S. R., & Pike, A. M. (2015). Analysis of vehicle speeds and speed differentials in curves. Transportation Research Record, 2486, 28-36. DOI: https://doi.org/10.3141/2486-04

Saltelli, A., Annoni, P., Azzini, I., Campolongo, F., Ratto, M., & Tarantola, S. (2010). Variance-based sensitivity analysis of model output. Computer Physics Communications, 181(2), 259-270. DOI: https://doi.org/10.1016/j.cpc.2009.09.018

Semeida, A. M. (2014). Application of artificial neural networks for operating speed prediction at horizontal curves. Journal of Modern Transportation, 22, 20-29. DOI: https://doi.org/10.1007/s40534-014-0033-3

Shalkamy, A., Gargoum, S., & El-Basyouny, K. (2021). Towards a more inclusive and safe design of horizontal curves. Accident Analysis & Prevention, 153, 106009. DOI: https://doi.org/10.1016/j.aap.2021.106009

Singh, S. K. (2017). Road traffic accidents in India: Issues and challenges. Transportation Research Procedia, 25, 4708-4719. DOI: https://doi.org/10.1016/j.trpro.2017.05.484

Sobol, I. M. (2001). Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Mathematics and Computers in Simulation, 55, 271-280. DOI: https://doi.org/10.1016/S0378-4754(00)00270-6

WHO, (2023). World health statistics 2023: Monitoring health for the SDGs. World Health Organization.

Yang, Y., Wang, K., Yuan, Z., & Liu, D. (2022). Predicting freeway traffic crash severity using an XGBoost-Bayesian network model. Journal of Advanced Transportation. DOI: https://doi.org/10.1155/2022/4257865

Zhao, C., Zhao, X., Li, Z., & Zhang, Q. (2022). XGBoost-DNN mixed model for predicting driver behaviour during lane-changing decisions. Sustainability, 14, 6829. DOI: https://doi.org/10.3390/su14116829

Zhou, W., Gong, C., & Hong, H. P. (2017). New perspective on application of first-order reliability method for estimating system reliability. Journal of Engineering Mechanics, 143(9). DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0001280

Published

2026-06-13

How to Cite

Kumar, R. S., & Kumar, V. R. (2026). A data-driven framework for assessing horizontal curve safety using friction and reliability analysis: a case study on an Indian highway. Traffic Safety Research, 10, e000139. https://doi.org/10.55329/uzno7733

Issue

Section

Research article