Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31020
Computing a Time Based Effective Radius-of-Curvature for Roadways

Authors: Gary D. Cantrell, E. Alex Baylot


The radius-of-curvature (ROC) defines the degree of curvature along the centerline of a roadway whereby a travelling vehicle must follow. Roadway designs must encompass ROC in mitigating the cost of earthwork associated with construction while also allowing vehicles to travel at maximum allowable design speeds. Thus, a road will tend to follow natural topography where possible, but curvature must also be optimized to permit fast, but safe vehicle speeds. The more severe the curvature of the road, the slower the permissible vehicle speed. For route planning, whether for urban settings, emergency operations, or even parcel delivery, ROC is a necessary attribute of road arcs for computing travel time. It is extremely rare for a geo-spatial database to contain ROC. This paper will present a procedure and mathematical algorithm to calculate and assign ROC to a segment pair and/or polyline.

Keywords: Traffic, Routing, Roads, Turning, linear features, radius-of-curvature

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1337


[1] C. H. Oglesby, and G. R. Hicks, Highway Design, 4th ed., New York, NY: Wiley, 1982.
[2] Environmental Systems Research Institute, "ESRI Shapefile Technical Description: An ESRI White PaperÔÇöJuly 1998," ESRI Online Library, Redlands, CA, 1998.
[3] Transportation Research Board, "Geometric Design Standards for Low- Volume Roads," Compendium 1, Transportation Technology Support for Developing Countries, Washington, DC, 1978.
[4] United Nations, Transport Division, Asian Highway - The Road Networks Connecting China, Kazakhstan, Mongolia, the Russian Federation, and the Korean Peninsula, UNESCAP Ref No. ST/SCAP/ 173, Blue Ridge Summit, PA: United Nations Publications, 2001.
[5] International Standards Organization, "Methodology for Feature Cataloguing," Standard 19110:2005, Geneva, Switzerland, 2005.
[6] B.R. Sarker, and E. A. Baylot, "Estimation of Throughput Capacity for Convoy Movement," in Proceedings of the 13th International Conference of Hong Kong Society for Transportation Studies, Hong Kong, China, 2008.