Abstract
The present article offers analyses of important issues concerning design of vertical arcs by means of polynomial transition curves. In particular, two families of polynomial transition curves are considered, both of which are marked by versatility in shaping their geometry. This is an effect of a wide range of acceptable values that can be assumed by the parameter which governs mutual relations between the minimum radius, abscissa of the end point of the curve, and the slope of the tangent in the starting point. The article describes due procedures for designing vertical arcs, and compares them with traditional arcs which are formed by means of a second-degree parabola. The presented analyses lead to conclusions which have implications also for possible modernizations of already existing routes that may involve reconstruction of vertical arcs by means of polynomial transition curves.
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Kobryń, A. Vertical arcs design using polynomial transition curves. KSCE J Civ Eng 20, 376–384 (2016). https://doi.org/10.1007/s12205-015-0492-z
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DOI: https://doi.org/10.1007/s12205-015-0492-z