Technical Papers
Feb 7, 2012

Reliability-Based Risk Analysis of Roadway Horizontal Curves

Publication: Journal of Transportation Engineering
Volume 138, Issue 8

Abstract

Reliability-based analysis of road geometric design has been reported in literatures as a trend in transportation safety study. In the reliability analysis of a horizontal curve, the performance function is usually formulated as a function of the failure mode of vehicle skidding only. This paper takes into account the failure modes of vehicle skidding and rollover in formulating the performance functions of cars and trucks, respectively. A comparative study of three different performance functions for calculating the probability of vehicle failure modes is conducted. The results qualitatively show that trucks are more vulnerable to skid than cars, and are more likely to rollover than to skid on dry pavement. A vehicle's is greatly influenced by vehicle suspension and roll motion. A sensitivity analysis investigating the influences of vehicle parameters and superelevation on vehicle skidding and rollover follows. In order to make the paper practically useful, the probability of failure for the minimum radius recommended by AASHTO at various superelevations and design speeds was computed to investigate the reliability of the recommended minimum radius.

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Acknowledgments

This research is sponsored in part by the National Science Foundation (NSF) under Grant CMMI-0408390 and NSF CAREER Award CMMI-0644552, by the National Science Foundation of China under Grant No. 51050110143 and U1134206, by the Huoyingdong Educational Foundation under Grant No. 114024, by the Jiangsu Natural Science Foundation under Grant No. SBK200910046, and by the Jiangsu Postdoctoral Foundation under Grant No. 0901005C, for which the authors are very grateful.

References

AASHTO. (2004). A policy on geometric design of highways and streets, 5th Ed., Washington, DC.
Andjus, V., and Maletin, M. (1998). “Speeds of cars on horizontal curves.” Transportation Research Record 1612, Transportation Research Board, Washington, DC, 42–47.
Chang, T. H. (2001). “Effect of vehicle suspension on roadways horizontal curve design.” J. Transp. Eng.JTPEDI, 127(1), 89–91.
Easa, S. M. (1993). “Reliability-based design of intergreen interval at traffic signals.” J. Transp. Eng.JTPEDI, 119(2), 255–271.
Easa, S. M. (1994). “Reliability-based design of sight distance at railroad grade crossings.” Transp. Res. Part ATRPPEC, 28(1), 1–15.
Easa, S. M. (2000). “Reliability approach to intersection sight distance design.” Transportation Research Record 1701, Transportation Research Board, Washington, DC, 42–52.
Echaveguren, T., Bustos, M., and Solminihac de, H. (2005). “Assessment of horizontal curves of an existing road using reliability analysis concepts.” Can. J. Civ. Eng.CJCEB8, 32(6), 1030–1038.
El Koury, J., and Hobeika, A. G. (2007). “Assessing the risk in the design of passing sight distances.” J. Transp. Eng.JTPEDI, 133(6), 370–377.
Ellingwood, B., Galambos, T., MacGregor, J., and Cornell, C. (1980). Development of a probability based load criterion for American National Standard A58, U.S. Dept. of Commerce, Washington, DC.
Emmanuel, L. F. (1996). Reliability based design for roadway horizontal curves, Univ. of British Columbia Press, Vancouver, BC, Canada.
Faghri, A., and Demetsky, M. (1988). “Reliability and risk assessment in the prediction of hazards at rail-highway grade crossing.” Transportation Research Record 1160, Transportation Research Board, Washington, DC, 45–51.
Fambro, D., Koppa, R., Picha, D., and Fitzpatrick, K. (2000). “Driver braking performance in stopping sight distance situations.” Transportation Research Record 1701, Transportation Research Board, Washington, DC, 9–16.
Glennon, J. C., and Timothy, R. N. (1985). “Safety and operational consideration for design of rural roadway curves.” FHWA/RD-86/035, Federal Highway Administration, Washington, DC.
Harwood, D. W., and Mason, J. M. (1994). “Horizontal curve design for cars and trucks.” Transportation Research Record 1445, Transportation Research Board, Washington, DC, 22–23.
Harwood, D. W., Torbic, D. J., Richard, K. R., and Glauz, W. D. (2003). “Review of truck characteristics as factors in roadway design.” NCHRP Rep. 505, Transportation Research Board, Washington, DC.
Hauer, E. (1999). “Safety and the choice of degree of curve.” Transportation Research Record 1665, Transportation Research Board, Washington, DC, 22–27.
Ibrahim, S. E., and Sayed, T. (2011). “Developing safety performance functions using reliability-based risk measures.” Accid. Anal Prev., 43(6), 2153–2159.
Ismail, K., and Sayed, T. (2009). “Risk-based framework for accommodating uncertainty in highway geometric design.” Can. J. Civ. Eng.CJCEB8, 36(5), 743–753.
Ismail, K., and Sayed, T. (2010). “Risk-based highway design: Case studies from British Columbia, Canada.” Transportation Research Record 2195, Transportation Research Board, Washington, DC, 3–13.
Kottegoda, N. T., and Rosso, R. (1997). “Statistics.” Probability and reliability for civil and environmental engineers, McGraw-Hill, New York.
Lamm, R., Paroamps, B., and Mailaender, T. (1999). Roadway design and traffic safety engineering handbook, McGraw-Hill, New York.
Lamm, R., and Smith, B. L. (1994). “Curvilinear alignment: An improvement issue for more consistent and safer road characteristic.” Transportation Research Record 1445, Transportation Research Board, Washington, DC, 12–21.
Li, D., Dolezal, T., and Haimes, Y. Y. (1993). “Capacity reliability of water distribution networks.” Reliab. Eng. Syst. Saf.RESSEP, 42(1), 29–38.
Melchers, R. (1999). Structural reliability analysis and probability, Wiley, Chichester, UK.
Mintsis, G. (1988). “Speed distributions on road curves.” Transportation Research Group, Dept. of Civil Engineering, Univ. of Southampton, Hampshire, UK.
Navin, F. P. D. (1990). “Safety factors for road design: Can they be estimated?” Transportation Research Record 1280, Transportation Research Board, Washington, DC, 181–189.
Navin, F. P. D. (1992). “Reliability indices for road geometric design.” Can. J. Civ. Eng.CJCEB8, 19(5), 760–766.
Olson, P. L., Cleveland, D. E., Fancher, P. S., Kostyniuk, L. P., and Schneider, L. W. (1984). “Parameters affecting stopping sight distance.” NCHRP Rep. 270, National Cooperative Roadway Research Program, Transportation Research Board, Washington, DC.
Richl, L., and Sayed, T. (2006). “Evaluating the safety risk of narrow medians using reliability analysis.” J. Transp. Eng.JTPEDI, 132(5), 366–375.
Sarhan, M., and Hassan, Y. (2008). “Three-dimensional, probabilistic roadway design: Sight distance application.” Transportation Research Record 2060, Transportation Research Board, Washington, DC, 10–18.
Sayed, T., Abdelwahab, W., and Navin, F. (1995). “Identifying accident-prone locations using fuzzy pattern recognition.” J. Transp. Engrg., 121(4), 352–358.
Shinozuka, M. (1983). “Basic analysis of structural safety.” J. Struct. Engr., 109(3), 721–740.
Sun, L., You, K., and Wang, D. (2011). “A study on the influence of road conditions on vehicle rollover.” J. Traffic Transp. Eng., 28(10), 109–117.
Taehyun, S., and Chinar, G. (2007). “Understanding the limitations of different vehicle models for roll dynamics studies.” Veh. Syst. Dyn.VSDYA4, 45(3), 191–216.
Wong, Y. D., and Nicholson, A. (1992). “Driver behavior at horizontal curves: Risk compensation and the margin of safety.” Accid. Anal. Prev.AAPVB5, 24(4), 425–436.
You, K., Sun, L., and Gu, W. (2012). “Risk analysis-based identification of road hazard locations using vehicle dynamic simulation.” J. Southeast Univ.JSUOAT, 42(1), 150–155.
Zheng, Z. (1997). Application of reliability theory to roadway geometric design, Univ. of British Columbia, Vancouver, BC, Canada.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 138Issue 8August 2012
Pages: 1071 - 1081

History

Received: Dec 24, 2010
Accepted: Dec 29, 2011
Published online: Feb 7, 2012
Published in print: Aug 1, 2012

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Authors

Affiliations

School of Transportation Southeast Univ., Nanjing, 210096, P. R. China. E-mail: [email protected]; School of Transportation Southeast Univ., Nanjing, 210096, P. R. China. E-mail: [email protected]
Dept. of Civil Engineering, The Catholic Univ. of America, 620 Michigan Ave., N. E., Washington, DC 20064 (corresponding author). E-mail: [email protected]
Dept. of Civil Engineering The Catholic Univ. of America, 620 Michigan Ave., N. E., Washington, DC 20064. E-mail: [email protected]

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