Abstract

The main objective of this study was to calculate the required sight distance corresponding to the various probabilities of failure by considering two methods of reliability analysis. This paper presents a probabilistic approach based on such random variables as major road vehicle speed, walking speed, pedestrian observation-reaction time, the length of the crossing unit, pedestrian setback from the nearest curb of the major road. A safety margin is defined as the difference between available and required sight distances. By using the first-order second moment (FOSM) method, relationships for the mean and standard deviation of the safety margin were developed. The advance first-order second-moment (AFOSM) was also used to find the supplied sight distance corresponding to reliability index. Comparison of two methods was done. Obtained results from the two methods were almost similar to a low coefficient of variation. Different design graphs were developed to calculate the required sight distance at a different coefficient of variation corresponding to the probability of failure and different vehicle design. Sensitivity analysis was performed to obtain the most sensitive variable to the pedestrian crossing sight distance. It was found that vehicle speed is more sensitive to required sight distance and perception-reaction time has least effect on supplied (required) sight distance. Application of these methods is presented with two examples. This probabilistic method is valuable in designing pedestrian crossing sight distance for any preferred reliability level.

Highlights

  • Safety concerns can essentially play a great role in a person’s decision to walk or utilize different methods of transportation

  • 2.2.2 Advanced First Order Second-Moment (AFOSM) Method The proposed probabilistic method is established on the advanced first-order second moment (AFOSM) method of reliability analysis developed by Hasofer and Lind (1974) [17] and outlined by Smith [18]

  • This study presents a methodology for the evaluation of pedestrian crossing sight distance which is of importance in design that takes into account pedestrian safety

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Summary

Introduction

Safety concerns can essentially play a great role in a person’s decision to walk or utilize different methods of transportation. Reduction of pedestrian crashes and efforts to increase levels of walking continue to be an important objective for transportation engineering. Give way, two-way stop controlled intersections, ‘T’ intersections are most common intersections where there are moderate or low volumes in one or more approaches [1] They provide no priority to pedestrians crossing the intersection. The main objective of engineering design is to provide minimum levels of serviceability and safety during the structural lifetime This is a tough job because there are important sources of uncertainty that could lead to over or under-design solutions. The following section presents details of the methodology, including reliability analysis of First Order Second Moment (FOSM) method and the Advance First Order Second Moment (AFOSM) method of pedestrian crossing sight distance. This paper presents a sensitivity analysis of the random variables affecting pedestrian crossing sight distance

Pedestrian Sight Distance
Walking speed, Vw
The clearance time, tc
The pedestrian setback, fp
Observation-Reaction time, t
The minimum median width, Mmin
Reliability Methods
First Order Second-Moment (FOSM) Method The First Order Second
Advanced First Order Second-Moment (AFOSM) Method
Design Procedure
FOSM Method
Expected Value and Variance
Safety Margin
Application
AFOSM method
Design Graphs
The Supplied Sight Distance Vs Probability of Failure Graph
The Supplied Sight Distance Vs Vehicle Speed Graph
The Supplied Sight Distance Vs Probability of Failure Graph (FOSM and AFOSM)
The Supplied Sight Distance Vs Probability of Failure Graph (using solver)
Sensitivity Analysis
Example: 1
Example: 2
Findings
Conclusion

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