Published: 2015-10-16

Ellipse offset curves in the formation of turbo-roundabouts

Ryszard J. Grabowski


Various curves are used for shaping the geometry of roads and a curve applied the most often is the circular arc. Clothoid, spiral, ellipse, sets of curves shaped with polynomial functions and other similar curves are also worth mentioning. The road axis is usually set during practical realization of the curves in the terrain. The external edges are determined by measuring the width of the carriageway along the normal line to this axis. That is how two offset curves, which usually are of different type, are created. If the road axis is a circular arc with a radius R, then by displacing the width of the carriageway s along the radius of the circle, the circular arcs with radii R-s and R+s are also created, assuming that s is constant. While shaping turbo-roundabouts different curves are suggested, e.g. an ellipse. In case of its application, by displacing the width of the carriageway from its axis, the curves that fulfill the conditions of ellipses' equations are not created, but only the curves similar to them. The question is how large are the deviations? Are they important in practical realization? The analyses included in this article give answers to these questions.


accuracy of delineating, ellipse, ellipse offset curve, turbo-roundabout

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Grabowski, R. J. (2015). Ellipse offset curves in the formation of turbo-roundabouts. Roads and Bridges - Drogi I Mosty, 14(3), 193–202.

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