Studies have shown that the traffic flow on a single-lane approach to a signalized intersection can be described by the Greenshields model with a capacity of 1800 veh/h. 1) If the jam density on the approach is 120 veh/mi, determine the velocity of the stopping wave when the approach signal changes to red, if the approach traffic flow has the space mean speed of 40 mi/h 2) At the end of the red interval, how many vehicles stopped from the stop line if the red interval is 30 sec?

Studies have shown that the traffic flow on a single-lane approach to a signalized intersection can be described by the Greenshields model with a capacity of 1800 veh/h. 1) If the jam density on the approach is 120 veh/mi, determine the velocity of the stopping wave when the approach signal changes to red, if the approach traffic flow has the space mean speed of 40 mi/h 2) At the end of the red interval, how many vehicles stopped from the stop line if the red interval is 30 sec?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Studies have shown that the traffic flow on a single-lane approach to a signalized intersection
can be described by the Greenshields model with a capacity of 1800 veh/h.
1) If the jam density on the approach is 120 veh/mi, determine the velocity of the stopping wave
when the approach signal changes to red, if the approach traffic flow has the space mean speed
of 40 mi/h
2) At the end of the red interval, how many vehicles stopped from the stop line if the red interval
is 30 sec?

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4) Traffic on the eastbound approach of a signalized intersection is traveling at 35 mi/hr, with a density of 46 veh/mi/In. The duration of the red signal indication for this approach is 30 sec. If the saturation flow is 1900 veh/h/In with a density of 52 veh/mi/In, and the jam density is 125 veh/mi/In, determine the following: (i) The length of the queue at the end of the red phase (ii) The maximum queue length (iii) The time it takes for the queue to dissipate after the end of the red indication.
An approach at a signalized intersection with a 60-second cycle gets 30 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 4 vehicles in the queue and the saturation flow is 876 veh/h. The arrival rate is given by v(t) = 0.20 - 0.002t [with v(t) in veh/s and t in seconds after the beginning of the effective red]. What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 4 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)
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