S-Shaped Transition Curves as an Element of Reverse Curves in Road Design

A road designing involves horizontal and vertical alignment. The horizontal geometry is formed by straight and curvilinear sections that are traditionally formed using circular and transition curves (mainly the clothoid). Different geometric systems that are designed using circular and transition cu...

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Main Authors: Andrzej Kobryń, Piotr Stachera
Format: Article
Language:English
Published: Riga Technical University Press 2019-12-01
Series:The Baltic Journal of Road and Bridge Engineering
Subjects:
Online Access:https://bjrbe-journals.rtu.lv/article/view/3216
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author Andrzej Kobryń
Piotr Stachera
author_facet Andrzej Kobryń
Piotr Stachera
author_sort Andrzej Kobryń
collection DOAJ
description A road designing involves horizontal and vertical alignment. The horizontal geometry is formed by straight and curvilinear sections that are traditionally formed using circular and transition curves (mainly the clothoid). Different geometric systems that are designed using circular and transition curves are between others circular curves with symmetrical or unsymmetrical clothoids, combined curves, oval curves and reverse curves. Designing these systems is quite complex. Therefore, so-called S-shaped transition curves are an alternative to traditional approaches. These curves are known from literature and are modern geometric tools for the shaping of reverse curves. The paper analyses the basic geometric properties of these curves as well as compare to the geometry of the appropriate geometric systems, which are formed with clothoid or using S-shaped transition curves. In addition, a procedure for designing reverse curves using S-shaped transition curves was proposed. Another research topic was the comparison of the analysed reverse curves (created using polynomial transition curves) with traditional curves (created using the clothoid). The results of the studies, despite the noticeable differences in the geometry of the compared components, confirm the practical usefulness of the S-shaped transition curves for designing the geometry of the route.
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institution Kabale University
issn 1822-427X
1822-4288
language English
publishDate 2019-12-01
publisher Riga Technical University Press
record_format Article
series The Baltic Journal of Road and Bridge Engineering
spelling doaj-art-a1a7a08eaff54aceaaae35717ae0b78a2025-01-02T11:57:07ZengRiga Technical University PressThe Baltic Journal of Road and Bridge Engineering1822-427X1822-42882019-12-0114448450310.7250/bjrbe.2019-14.4541761S-Shaped Transition Curves as an Element of Reverse Curves in Road DesignAndrzej Kobryń0Piotr Stachera1Dept of Energy Efficient Construction and Geodesy, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, Bialystok, PolandDept of Energy Efficient Construction and Geodesy, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, Bialystok, PolandA road designing involves horizontal and vertical alignment. The horizontal geometry is formed by straight and curvilinear sections that are traditionally formed using circular and transition curves (mainly the clothoid). Different geometric systems that are designed using circular and transition curves are between others circular curves with symmetrical or unsymmetrical clothoids, combined curves, oval curves and reverse curves. Designing these systems is quite complex. Therefore, so-called S-shaped transition curves are an alternative to traditional approaches. These curves are known from literature and are modern geometric tools for the shaping of reverse curves. The paper analyses the basic geometric properties of these curves as well as compare to the geometry of the appropriate geometric systems, which are formed with clothoid or using S-shaped transition curves. In addition, a procedure for designing reverse curves using S-shaped transition curves was proposed. Another research topic was the comparison of the analysed reverse curves (created using polynomial transition curves) with traditional curves (created using the clothoid). The results of the studies, despite the noticeable differences in the geometry of the compared components, confirm the practical usefulness of the S-shaped transition curves for designing the geometry of the route.https://bjrbe-journals.rtu.lv/article/view/3216reverse curvesroad geometrys-shaped transition curves
spellingShingle Andrzej Kobryń
Piotr Stachera
S-Shaped Transition Curves as an Element of Reverse Curves in Road Design
The Baltic Journal of Road and Bridge Engineering
reverse curves
road geometry
s-shaped transition curves
title S-Shaped Transition Curves as an Element of Reverse Curves in Road Design
title_full S-Shaped Transition Curves as an Element of Reverse Curves in Road Design
title_fullStr S-Shaped Transition Curves as an Element of Reverse Curves in Road Design
title_full_unstemmed S-Shaped Transition Curves as an Element of Reverse Curves in Road Design
title_short S-Shaped Transition Curves as an Element of Reverse Curves in Road Design
title_sort s shaped transition curves as an element of reverse curves in road design
topic reverse curves
road geometry
s-shaped transition curves
url https://bjrbe-journals.rtu.lv/article/view/3216
work_keys_str_mv AT andrzejkobryn sshapedtransitioncurvesasanelementofreversecurvesinroaddesign
AT piotrstachera sshapedtransitioncurvesasanelementofreversecurvesinroaddesign