Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties

Safety is an important aspect of road design. In highway geometric design, road engineers use a two-stage design method due to its convenience, but the available two-dimensional design tools on the market are believed to impose limitations. Horizontal and vertical alignment parameters are considered...

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Main Author: Lu Wang
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2023/6685010
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author Lu Wang
author_facet Lu Wang
author_sort Lu Wang
collection DOAJ
description Safety is an important aspect of road design. In highway geometric design, road engineers use a two-stage design method due to its convenience, but the available two-dimensional design tools on the market are believed to impose limitations. Horizontal and vertical alignment parameters are considered and determined at the designer’s discretion, potentially downplaying the three-dimensional characters of spatial curves. This study focuses on the three-dimensional characteristics of highway alignments and investigates a safety evaluation method to establish the relationship between crash rate and spatial curve properties. This will necessitate an analytical investigation into the effects of higher-order properties, such as curvature and torsion, on the geometry of spatial Cartesian curves. First, these combinations of horizontal and vertical alignments were categorized into six classifications, each with its own spatial expression in mathematical form. After manipulating the curvature and torsion of the spatial curve algebraically, the correlation between geometric design variables and crash rate was ultimately established. A few cases involving geometric design data and crash facts were utilized for verification. The results revealed a considerable positive correlation between curvature or torsion variance and crashes per million vehicles kilometers, as a slight difference between curvature and torsion could also be spotted. And curvature distribution is correlated with collision frequency more closely than torsion spatial variation.
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spelling doaj-art-76b8f40b98834a82a4583b4e42fb3d992025-02-03T01:29:33ZengWileyJournal of Advanced Transportation2042-31952023-01-01202310.1155/2023/6685010Safety Evaluation for Highway Geometric Design Based on Spatial Path PropertiesLu Wang0Faculty of Civil Engineering and MechanicsSafety is an important aspect of road design. In highway geometric design, road engineers use a two-stage design method due to its convenience, but the available two-dimensional design tools on the market are believed to impose limitations. Horizontal and vertical alignment parameters are considered and determined at the designer’s discretion, potentially downplaying the three-dimensional characters of spatial curves. This study focuses on the three-dimensional characteristics of highway alignments and investigates a safety evaluation method to establish the relationship between crash rate and spatial curve properties. This will necessitate an analytical investigation into the effects of higher-order properties, such as curvature and torsion, on the geometry of spatial Cartesian curves. First, these combinations of horizontal and vertical alignments were categorized into six classifications, each with its own spatial expression in mathematical form. After manipulating the curvature and torsion of the spatial curve algebraically, the correlation between geometric design variables and crash rate was ultimately established. A few cases involving geometric design data and crash facts were utilized for verification. The results revealed a considerable positive correlation between curvature or torsion variance and crashes per million vehicles kilometers, as a slight difference between curvature and torsion could also be spotted. And curvature distribution is correlated with collision frequency more closely than torsion spatial variation.http://dx.doi.org/10.1155/2023/6685010
spellingShingle Lu Wang
Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties
Journal of Advanced Transportation
title Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties
title_full Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties
title_fullStr Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties
title_full_unstemmed Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties
title_short Safety Evaluation for Highway Geometric Design Based on Spatial Path Properties
title_sort safety evaluation for highway geometric design based on spatial path properties
url http://dx.doi.org/10.1155/2023/6685010
work_keys_str_mv AT luwang safetyevaluationforhighwaygeometricdesignbasedonspatialpathproperties