The relationship between flow and density on a four-lane highway (two lanes per direction) is known to follow GreenShiled's model, with a free flow speed of 100 km/h and a jam density of 80 veh/km/lane. One of the two lanes of the EB direction will be closed for an entire month for maintenance. The traffic demand for the highway on a typical weekday is shown in the table below. a) What is the maximum length of the queue upstream of the bottleneck during both the morning and afternoon peak hours? b) At what time will the morning and afternoon queues be dissipated? c) Draw the shock wave diagram (for the entire day) showing shock wave speeds, critical times, and distances. Time 7:00 AM - 9:00 AM 9:00 AM 3:00 PM 8:00 PM 7:00 PM 7:00 PM–11:00 PM 11:00 PM 7:00 AM Average Demand (vph) 3000 1500 3200 1200 400
The relationship between flow and density on a four-lane highway (two lanes per direction) is known to follow GreenShiled's model, with a free flow speed of 100 km/h and a jam density of 80 veh/km/lane. One of the two lanes of the EB direction will be closed for an entire month for maintenance. The traffic demand for the highway on a typical weekday is shown in the table below. a) What is the maximum length of the queue upstream of the bottleneck during both the morning and afternoon peak hours? b) At what time will the morning and afternoon queues be dissipated? c) Draw the shock wave diagram (for the entire day) showing shock wave speeds, critical times, and distances. Time 7:00 AM - 9:00 AM 9:00 AM 3:00 PM 8:00 PM 7:00 PM 7:00 PM–11:00 PM 11:00 PM 7:00 AM Average Demand (vph) 3000 1500 3200 1200 400
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![The relationship between flow and density on a four-lane highway (two lanes per direction) is
known to follow GreenShiled's model, with a free flow speed of 100 km/h and a jam density of
80 veh/km/lane. One of the two lanes of the EB direction will be closed for an entire month for
maintenance. The traffic demand for the highway on a typical weekday is shown in the table below.
a) What is the maximum length of the queue upstream of the bottleneck during both the
morning and afternoon peak hours?
b) At what time will the morning and afternoon queues be dissipated?
c) Draw the shock wave diagram (for the entire day) showing shock wave speeds, critical
times, and distances.
Time
7:00 AM - 9:00 AM
9:00 AM 3:00 PM
3:00 PM 7:00 PM
7:00 PM–11:00 PM
11:00 PM 7:00 AM
Average Demand (vph)
3000
1500
3200
1200
400](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F854ba75e-0ff5-47a8-ad96-16d341219f52%2Fc6152cf1-5cf0-483e-b2b6-bd3189a7b51d%2Ftd24t3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The relationship between flow and density on a four-lane highway (two lanes per direction) is
known to follow GreenShiled's model, with a free flow speed of 100 km/h and a jam density of
80 veh/km/lane. One of the two lanes of the EB direction will be closed for an entire month for
maintenance. The traffic demand for the highway on a typical weekday is shown in the table below.
a) What is the maximum length of the queue upstream of the bottleneck during both the
morning and afternoon peak hours?
b) At what time will the morning and afternoon queues be dissipated?
c) Draw the shock wave diagram (for the entire day) showing shock wave speeds, critical
times, and distances.
Time
7:00 AM - 9:00 AM
9:00 AM 3:00 PM
3:00 PM 7:00 PM
7:00 PM–11:00 PM
11:00 PM 7:00 AM
Average Demand (vph)
3000
1500
3200
1200
400
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