approach signal is divided into r = 74 seconds of effective red, followed by g = 16 seco ve green. At t = 0 (start of the effective red), there is a queue of 3 vehicles. Le sarrive at a constant rate of λ = 200 h. During the 16 second effective gree n vehicles cross the stop line at one vehicle every 2 seconds. hr Sketch the graph of cumulative arrivals and departures from t = 0-90 se Shade the area that represents the total delay. At t= 90 seconds, how many vehicles arrived? How many vehicles departed?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
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Problem 1: Textbook Problem 7.1 W
An intersection approach has one left-turn lane. The signal cycle length is C = 90 seconds,
which is divided into r= 74 seconds of effective red, followed by g = 16 seconds of
effective green. At t = 0 (start of the effective red), there is a queue of 3 vehicles. Left turn
vehicles arrive at a constant rate of λ = 200 . During the 16 second effective green time,
left-turn vehicles cross the stop line at one vehicle every 2 seconds.
veh
a. Sketch the graph of cumulative arrivals and departures from t = 0-90 seconds.
Shade the area that represents the total delay.
b. At t = 90 seconds, how many vehicles arrived? How many vehicles departed?
Transcribed Image Text:Problem 1: Textbook Problem 7.1 W An intersection approach has one left-turn lane. The signal cycle length is C = 90 seconds, which is divided into r= 74 seconds of effective red, followed by g = 16 seconds of effective green. At t = 0 (start of the effective red), there is a queue of 3 vehicles. Left turn vehicles arrive at a constant rate of λ = 200 . During the 16 second effective green time, left-turn vehicles cross the stop line at one vehicle every 2 seconds. veh a. Sketch the graph of cumulative arrivals and departures from t = 0-90 seconds. Shade the area that represents the total delay. b. At t = 90 seconds, how many vehicles arrived? How many vehicles departed?
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