Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 6, Problem 10P
To determine
To develop: an appropriate relationship between the flow, density and capacity of this section of road.
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6-7
The table below shows data on speeds and corresponding densities on a section of a
rural collector road. If it can be assumed that the traffic flow characteristics can be
described by the Greenberg model, develop an appropriate relationship between the
flow and density. Also determine the capacity of this section of the road.
Speed (mi/h)
Density (veh/mi)
Speed (mi/h)
Density (veh/mi)
60.0
20
32.6
50
46.0
32
30.8
53
40.8
38
28.4
57
65
80
39.3
40
24.7
35.7
45
18.5
The traffic demand for a six-lane urban arterial road (three lanes per direction) is given in the table
below. The relationship between flow and density for this road follows GreenShiled's model, with
a free flow speed of 105 km/h and a jam density of 92 veh/km/lane. Two of the three lanes of the
EB direction were closed at 5:00 AM for maintenance. The two lanes were re-opened at 8:00 AM,
allowing the traffic to be released at capacity conditions.
a) What is the maximum length of the queue upstream of the bottleneck?
b) At what time the queue upstream of the bottleneck will be fully dissipated?
c) What is the furthest point upstream of the bottleneck that will be impacted by the lane
closure?
d) Draw the shock wave diagram showing shock wave speeds, critical times, and distances.
Time
5:00
6:00 AM
6:00 7:00 AM
7:00 8:00 AM
8:00 9:00 AM
9:00 10:00 AM
10:00 11:00 AM
Demand (vph)
2000
4000
6400
6000
3600
3000
ASAP
Chapter 6 Solutions
Traffic and Highway Engineering
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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- A traffic volume of 900 vehicles/hour is observed at an approach intersection. Determine the peak flow rate in one hour for the peak hour factor following: 1.00, 0.90, 0.80, 0.70. Create plots and comment on the results.arrow_forwardThe following figure shows the Level of Service (LOS) criteria for a multilane highway segment. If the free flow speed is 45 mph and the analysis flow rate is 1800 passenger cars per hour per lane (pc/h/In). What is the actual speed and density of the traffic flow at this specific location? What is the LOs of the location? 70 free-flow Seed 60 mih 56 mi 50 mih 45 mih LOS A 60 50 40 30 20 pomit 45 400 800 1200 1600 2000 2400 Flow Rate (pc/h/in) (uju) paads eg-buasseg abeanyarrow_forward1. A study of freeway flow at a given site has yielded a relationship speed-density calibrated as follows: S = 57,5(1 - 0,008 D) For this relationship, specify: (a) free flow velocity, (b) congestion density, (c) velocity-flow relationship (d) flow density relationship, and (e) capacity. 2. Answer all the questions in Problem 1 for the calibrated density-velocity relationship the following: S = 61.2e^-0015Darrow_forward
- .) A study of freeway flow at a particular site has resulted in a calibrated speed- density relationship as follows: V=57.5 (1-0.008 D); From this relationship, Find the free flow speed and the Jam density. Derive equations describing flow versus speed and flow versus density.arrow_forwardQuestion 2 Because the new travel time rate (TTR) from the additional traffic (e.g., 300vph) exceeds the minimum acceptable local standard of 2.0 min/mile, it is proposed to increase the road capacity by 900vph/lane by adding one lane in each direction. Calculate the new travel time rate and traffic volume using: a. The traditional method of traffic impact analysis, and b. The above-mentioned pivot point analysis method. c. Compare the results of the two methods and comment on their significance.arrow_forwardGiven the following data on a certain highway section: uf=90km/hr and qcap=3600veh/hr Calculate the density corresponds to the flow value q=900veh/hrarrow_forward
- Select one: is used in the qualitative evaluation of the operating conditions of the road. a. Headway b.Service volume c.Level of Service d.Density Which one of the following is NOT listed among the ideal traffic conditions? Select one: a. Traffic stream is consisting of only passenger cars b.Level terrain c.Most of the drivers are familiar with the road d.Six lanes in each directionarrow_forwardA section of highway has a speed-flow relationship of the form "q = au^2 + bu" It is known that at capacity (which is 3100 veh/hr) the space mean speed of traffic is 28mi/hr. Determine the speed when the flow is 1500veh/hr and the free flow speed. Please show all steps.arrow_forwardAn arterial road having three lanes in each direction carries traffic quite well in the evening peak period until a car illegally parks, blocking one of the three lanes and forcing traffic to merge into the other two lanes. A traffic queue quickly builds up behind the parked car. The fundamental diagram for this road can be modelled using a triangular flow-density relationship, having a capacity (maximum flow) of 4500 vehicles per hour, a critical density of 100 vehicles per kilometre, and a jam density of 300 vehicles per kilometre. Note also that this road has three lanes. Assuming that the parked car remains and after a period of 45 minutes the arrival flow decreases from 3500 vehicles per hour to 2000 vehicles per hour. a) Identify traffic states (flow and density) on the above arterial road. Calculate the shockwave speeds and plot the shockwaves on the fundamental diagram. Plot the time-space diagram with some vehicle trajectories and showing the shockwaves in this time-space…arrow_forward
- H.w Try only ten): 1. The flow is zero on the highway only if the density equals to zero. 2. Density is the number of vehicle passing during a given width of lane of roadway. 3. If an accident occure during the way, it could be say that it is uninterreputed flow. 4. Mobility for arterial road is grater than the mobility of local road. 5. 85 th percentile of spot speed cumulative curve represents the highway speed limit. 6. One of the most important of on street parking is mechanical garage. 7. As angle of parking increase, more accidents would be occure. 8. At jam density, density of flow is zero. 9. PHF of rural region is less than the PHF in urban region. 10.Stopping time delay occure ar intersection. 11.Future traffic includes only generated and developed traffic. 12.As the tunover duration of the parking increase, operation of the parking increases also.arrow_forwardUse linear regression to fit the highway speed/density data shown here to the Greenshields model, and use it to determine: a. The mean free flow speed b. The jam density The capacity The speed at max flow R² of this dataarrow_forward4) Determine the level of service (LOS) for a freeway segment with the following data. Show all steps involved. Demand volume (3452 vehicle per hour) ● ● ● ● ● ● ● 1 Number of lanes (3 lanes in one direction) Width of lanes (11ft per lane) Lateral clearance on the right side of the freeway (4 ft) Total ramp density (2 miles between ramps, or 0.5 ramps per mile) Percent of heavy vehicles (5% trucks/buses and 0% recreational vehicles) Peak hour factor (0.927) I Terrain (level) Driver population factor (familiar drivers)arrow_forward
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