6-10 Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: q = u,k k; If speed and density observations give the data shown below, develop an appro- priate expression for speed versus density for this highway, and determine the density at which the maximum volume will occur as well as the value of the maximum volume. Also plot speed versus density and volume versus speed for both the expres- sion developed and the data shown. Comment on the differences between the two sets of curves. Density (veh/mi) TT Speed (mi/h) 50 18 45 25 40 41 34 58 22 13 88 12 99

6-10 Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: q = u,k k; If speed and density observations give the data shown below, develop an appro- priate expression for speed versus density for this highway, and determine the density at which the maximum volume will occur as well as the value of the maximum volume. Also plot speed versus density and volume versus speed for both the expres- sion developed and the data shown. Comment on the differences between the two sets of curves. Density (veh/mi) TT Speed (mi/h) 50 18 45 25 40 41 34 58 22 13 88 12 99

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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Concept explainers

Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.

Question

Results of traffic flow studies on a highway indicate that the flow-density relationship
can be described by the expression:
6-10
q = u,k
k;
If speed and density observations give the data shown below, develop an appro-
priate expression for speed versus density for this highway, and determine the density
at which the maximum volume will occur as well as the value of the maximum
volume. Also plot speed versus density and volume versus speed for both the expres-
sion developed and the data shown. Comment on the differences between the two sets
of curves.
Speed (mi/h)
Density (veh/mi)
TT
50
18
45
25
40
41
34
58
22
71
13
88
12
99

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From data collected on a metropolitan arterial road, it has been found that speed (v in kph) and density (k in vpk) are related by the following expression: v=72 0.72k Plot the speed-density diagram. Write the equation of the plot on this diagram and show the values of free-flow speed, critical speed, critical density and jam density on this diagram. Plot the flow-density diagram. Write the equation of the plot on this diagram and show the values of free-flow speed, critical speed, critical density, jam density and capacity on this diagram. Plot the speed-flow diagram. Write the equation of the plot on this diagram and show the values of free-flow speed, critical speed and capacity on this diagram.
Assuming that the expression: u = ue i, can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 50 38.4 33.8 53.2 42.3 31 Under what flow conditions is the above model valid?
4. The relation of the density (d) along a roadway to vehicle speed (s: km/h) is given as d = 50- s/2 Determine the flow (q)-speed (s) and flow (q)-density (d) relationships and draw the variations of density-speed, flow-speed and flow-density on. Show the maximum and minimum points on these graphs
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On a road, the speed - density relationship of a traffic stream is given by u = 70 - 0.7 k (where speed, u, is in km/h and density, k, is in veh/km). At the capacity condition, the average time headway will be
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Q4 / The data from moving observer methods as shown in the table. Column 1 gives the sample number, column 2 gives the number of vehicles moving against the stream, column 3 gives the number of vehicles that had overtaken the test vehicle, and last column gives the number of vehicles overtaken by the test vehicle. Find the flowrate, density and mean speed. Also, plot the fundamental diagrams of traffic flow. 2 3 4 No. Sample 1 107 10 74 113 25 41 3 30 15 4 79 18 9.
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=uk- Uff2 kj If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 57 16 53 28 45 40 40 59 28 69 21 89 17 98 Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume veh/mi veh/h
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Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3.2 seconds and 20 m, respectively. Calculate the flow, average speed, and density of the traffic stream in this lane.
For a national highway, the free mean velocity and jam density are 80 kmph and 45 Veh/km respectively. A student mistakenly takes the quadratic relation between the velocity and traffic density in Green-Shield model as shown below: V = All the symbols have the usual meaning. Find the magnitude of error in maximum capacity of the road in Veh/hr (upto two places after decimal)