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2017 | Buch

Introduction Kapitel lesen Erstes Kapitel lesen

Transition Curves for Highway Geometric Design

verfasst von: Andrzej Kobryń

Verlag: Springer International Publishing

Buchreihe : Springer Tracts on Transportation and Traffic

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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SUCHEN

Über dieses Buch

This book provides concise descriptions of the various solutions of transition curves, which can be used in geometric design of roads and highways. It presents mathematical methods and curvature functions for defining transition curves.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Abstract
A designing of highways involves establishing the design details of the selected route, including final horizontal and vertical alignments, drainage facilities, and all items of construction.
Andrzej Kobryń
Chapter 2. Simple Horizontal and Vertical Curves
Abstract
In the geometric design of highways, circular curves as horizontal curves (Sect. 2.1) and parabolic curves as vertical curves (Sect. 2.2) are the most widespread. Apart from this type of curves, so-called transition curves are traditionally used as a geometric elements between the straight and the circular arc or between two circular arcs with different radii. The most popular transition curve is a clothoid (also known as spiral curve). Apart from the clothoid other solutions of transition curves are also known. They will be presented in the following sections of this work.
Andrzej Kobryń
Chapter 3. Mathematical Methods for Defining of Transition Curves
Abstract
Transition curves can be defined using the appropriate mathematical formulas that meet a certain boundary conditions.
Andrzej Kobryń
Chapter 4. Transition Curves Described Using Curvature Function
Abstract
Transition curves defined using the curvature function are easy to shape a curvature. However, a drawback of these curves are very powerful formulas expressing their rectangular coordinates.
Andrzej Kobryń
Chapter 5. Transition Curves Described Using Explicit Function
Abstract
Among different transition curves that are described using the curvature function can be mentioned different solutions that may be useful in various applications related to the geometrical shaping of highways. So-called polynomial transition curves, which will be presented in Chap. 7, occupy a special place here. Whereas, in this section two solutions: parabolic transition curves and sinusoidal transition curves are described.
Andrzej Kobryń
Chapter 6. Transition Curves Defined in the Polar Coordinate System
Abstract
The lemniscate of Bernoulli may be mentioned especially in this group of transition curves.
Andrzej Kobryń
Chapter 7. Polynomial Description of Transition Curves
Abstract
Using an explicit function for description of transition curves is very comfortable in the light of laying out of these geometric elements. One of these forms of description of transition curves is to use polynomial functions. This chapter presents different solutions of polynomial transition curves.
Andrzej Kobryń
Chapter 8. Sample Applications of Transition Curves in Horizontal Alignment
Abstract
Transition curves will be used in horizontal alignment as traditionally understood geometrical systems as well as independent geometric elements that allow you to determine a whole curvilinear transition between two straight lines. Appropriate solutions of this problem will be presented in this section.
Andrzej Kobryń
Chapter 9. Sample Applications of Transition Curves in Vertical Alignment
Abstract
Optimization of vertical alignment is mainly aimed at minimizing earthworks.
Andrzej Kobryń
Metadaten
Titel
Transition Curves for Highway Geometric Design
verfasst von
Andrzej Kobryń
Copyright-Jahr
2017
Electronic ISBN
978-3-319-53727-6
Print ISBN
978-3-319-53726-9
DOI
https://doi.org/10.1007/978-3-319-53727-6

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