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. Speed (miles/hr)Flow (veh/hr/lanelSpeed (miles/hr)605040302010-02400200016001200800400060504030201001010120 3020GreenshieldsGreenbergUnderwood- Northwestern50 60 70 80100 110 120 130Density (veh/mile/lane)50 60 7080100110 120 130Density (veh/mile/lane)800 1000 1200 1400 1600 1800 2000 2200 2400 2600Flow (veh/hr/lane)Figure Question 1b200 400 6004030 409090

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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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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.

Speed (miles/hr)
Flow (veh/hr/lanel
Speed (miles/hr)
60
50
40
30
20
10-
0
2400
2000
1600
1200
800
400
0
60
50
40
30
20
10
0
10
10
1
20 30
20
Greenshields
Greenberg
Underwood
- Northwestern
50 60 70 80
100 110 120 130
Density (veh/mile/lane)
50 60 70
80
100
110 120 130
Density (veh/mile/lane)
800 1000 1200 1400 1600 1800 2000 2200 2400 2600
Flow (veh/hr/lane)
Figure Question 1b
200 400 600
40
30 40
90
90

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