Consider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take several hours. It is estimated that the capacity at the work zone will be reduced by 30 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 130 veh/mi/ln. It is estimated that the demand flow on the highway during the emergency repairs is 86 percent of the capacity.Using the deterministic approach, determine the following for the expected repair periods of 1 h, 1.5 h, 2.5 h, 2.75 h, and 3 h.(a)the maximum queue length (in veh) that will be formed1 h veh1.5 h veh2.5 h veh2.75 h veh3 h veh(b)the total delay (in h)1 h h1.5 h h2.5 h h2.75 h h3 h h(c)the number of vehicles that will be affected by the incident1 h veh1.5 h veh2.5 h veh2.75 h veh3 h veh(d)the average individual delay (in min)1 h min1.5 h min2.5 h min2.75 h min3 h min Consider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expectedto take several hours. It is estimated that the capacity at the work zone will be reduced by 30 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 130 veh/mi/In. It is estimatedthat the demand flow on the highway during the emergency repairs is 86 percent of the capacity.Using the deterministic approach, determine the following for the expected repair periods of 1 h, 1.5 h, 2.5 h, 2.75 h, and 3 h.(a) the maximum queue length (in veh) that will be formed1 hveh1.5 hveh2.5 hveh2.75 hveh3 hveh(b) the total delay (in h)1 hh1.5 hh2.5 hh2.75 h3 hhh(c) the number of vehicles that will be affected by the incident1 h1.5 h2.5 h2.75 h3 hvehvehvehvehveh(d) the average individual delay (in min)1 hmin1.5 hmin2.5 hmin2.75 hmin3 hmin

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Answered: Consider the problem of traffic flow on…

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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Consider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take several hours. It is estimated that the capacity at the work zone will be reduced by 30 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 130 veh/mi/ln. It is estimated that the demand flow on the highway during the emergency repairs is 86 percent of the capacity.

Using the deterministic approach, determine the following for the expected repair periods of 1 h, 1.5 h, 2.5 h, 2.75 h, and 3 h.

(a)

the maximum queue length (in veh) that will be formed

1 h veh1.5 h veh2.5 h veh2.75 h veh3 h veh

(b)

the total delay (in h)

1 h h1.5 h h2.5 h h2.75 h h3 h h

(c)

the number of vehicles that will be affected by the incident

1 h veh1.5 h veh2.5 h veh2.75 h veh3 h veh

(d)

the average individual delay (in min)