HW 3. A study of freeway flow at a particular site has resulted in a calibrated speed- density relationship as follows: For this relationship, determine: (a) the free-flow speed, (b) jam density, (c) the speed-flow relationship, (d) the flow-density relationship, and (e) capacity. S=32 *(2.5 -0.02 D)

HW 3. A study of freeway flow at a particular site has resulted in a calibrated speed- density relationship as follows: For this relationship, determine: (a) the free-flow speed, (b) jam density, (c) the speed-flow relationship, (d) the flow-density relationship, and (e) capacity. S=32 *(2.5 -0.02 D)

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

HW 3. A study of freeway flow at a particular site has resulted in a calibrated speed-
density relationship as follows:
For this relationship, determine:
(a) the free-flow speed,
(b) jam density,
(c) the speed-flow relationship,
(d) the flow-density relationship, and
(e) capacity.
S=32 *(2.5 -0.02 D)

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For the case of a bottleneck in a highway where two lanes in one direction must narrow down to one lane, if the flow in vehicles/hour is greater than the capacity of the bottleneck but less than the capacity of the unrestricted two lanes of travel, a queue will form, and its length will increase over time. A) True B) False
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A freeway traffic stream was observed to have a density of 22.0 veh/mi/ln when the mean speed was 55.0 mi/h. On another occasion at the same location, the jam density was found to be 132 veh/mi/ln. Assume Greenshields' model of traffic flow applies. The optimum speed (in mi/h) is: a) 22.0 b) 33.0 c) 55.0 d) 66.0 e) None of he above
2. The upstream traffic flow on a road with two lanes in the relevant direction is qı= 1800 veh/hr with freeflow speed of vi=90 km/hr. As the result of a crash, one lane is blocked and flow is reduced to q2 = 900 veh/hr. The density in the queue is k2 = 70 veh/km. The value of time is GHC 10/hour/vehicle. Find: (a) The shockwave speed (vw) (b) The number of vehicles that will be in the queue if the traffic situation continues for 1 hour before the lane is cleared. (c) The cost of the crash to society in terms of delay (hint: use travel time in excess of freeflow travel time to determine this) (d) The amount to be paid to a freeway service patrol (tow truck service) if it can clear the crash in 30 minutes (e) The amount to be paid to a freeway service patrol if a variable message sign placed 2 km upstream of the crash site instantly advises travelers about a diversion to a frontage road 1 km upstream of the crash site
Problem 5-11 in in Roess, Prassas, McShane, 5th ed. A study of speed-flow-density relationships at a particular freeway site has resulted in the k following calibrated relationship: u = 71.2 (1 - 1/2) 122, a. Determine the free-flow speed for the relationship. b. Determine the jam density for the relationship. c. Derive the equation for speed versus flow for this site. d. Derive the equation for flow versus density for this site. e. Determine the capacity of the segment mathematically.
c) Greenshields proposed a linear relationship between speed and density. Using this relationship, it was noted that on a length of highway the free speed Vi was 100km/h and the jam density Df was 90 veh/km. i) What is the maximum flow which could be expected on this highway? ii) At what speed would it occur?
QUESTION 10 A two-lane, one-way, rural freeway segment is being designed to service a demand volume of 4,000 vehicles per hour. The PHF is expected to be 0.95. If the combination of trucks, buses, and recreational vehicles is represented by a heavy vehicle adjustment of 0.85, what is the flow rate (pcphpl)? Provide your answer to the nearest integer.