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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Considering linear relationship between density and speed, you are required to estimate the corresponding flow and speed values to densities of 20, 30, 40 60, and 70 veh/km. if the free flow speed is 110 km/hr and at the critical situation, is founded that are 110 vehicles on section of the road with length 2km, using the estimated values, draw a sketch showing the speed-flow-density relationships?
Use 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 data
Given a freeway flow study at a certain highway. The speed- density relationship is described in thegiven equation or relationship:V s = 60- 0.48kDetermine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highway
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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- Plz solve fast! A traffic stream display average vehicle time headway of 2 sec at space mean speed 60 km/hr compute average space headway, flow rate and density for traffic stream?arrow_forwardGiven a freeway flow study at a certain highway. The speed- density relationship is described in the givenequation or relationship: V s = 58- 0.40k Determine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highwayarrow_forwardA Greenberg’s model was developed based on data collected from a roadway. The following values are given: Dj = 130 veh/mi; D = 30 veh/mi when S = 30 mi/h. Find the maximum flow for this traffic stream (vmax)arrow_forward
- Determine the density of traffic on a highway for free flow speed of 80 km/hr and flow rate of 1200 pc/hr/lnarrow_forwardIn a certain portion of road to be constructed the following data were taken. Compute the volume between 2 stations using end area method with prismoidal correction.arrow_forwardOn a specific westbound section of highway, studies show that the speed-density relationshipisarrow_forward
- Data obtained from aerial photography showed nine vehicles on a 720 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 4.2 sec. Determine the following. (a) the density on the highway (in veh/mi) veh/mi (b) the flow on the road (in veh/h) veh/h (c) the space mean speed (in mi/h) mi/harrow_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_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
- The optimum speed and the optimum density for the high-speed freeway data set is assumed to be 40 miles per hour and 50 vehicles per mile per lane, respectively. Determine the equations for the Greenberg, Underwood, and Northwestern models, and construct flow-speed-density relationships in a fashion similar to Figure Question 1b.arrow_forwardAssume you are observing traffic in a single lane of McArthur Highway at a specific location. You measure the average headway and average spacing of the vehicles as 3.2sec. and 50 m. respectively. Determine the traffic flow in vehicle/hour.arrow_forwardA section of highway having a length 60 m. The observed data are 6 vehicles cross over it in a period of 148 sec., for the following duration: 2.4, 2.8, 3.0, 2.1, 2.2, and 3.5 sec. Estimate the values of the flow rate, density, space-mean speed, time-mean speed, average gap. and average clearance. If the length of vehicles are 6, 5.4, 6.6. 4.8, 7.5, and 6 m respectively?arrow_forward
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