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 thekfollowing 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.

a. Determine the free-flow speed for the relationship.Free-flow speed occurs when the density (k) is…

Answered: Problem 5-11 in in Roess, Prassas,…

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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4. C per The maximum flow rate on a road is 1000 vehicles hour and the free flow speed is 80 km/h. For an instant when the traffic is flowing at 70% of the maximum flow rate, determine; Ci) the two possible speeds? the two possible spacing the two possible headways? (i) Cili)
Assume that drivers in fact follow the rule of the road of keeping a gap of one car length (L) for each 10-mi/h increment of speed. Assuming a car length of 20 ft, develop the equations of stream flow and draw the u-k, q-u, and q-k diagrams. Discuss the results.
5.11 This problem considers what values a solution of the traffic flow equation can have when using the Greenshields law, with UM = 1 and PM = 10. Assume that p(x, 0) = f(x) is piecewise constant. Show Transcribed Text (c) Give an example for f(x), so that the only values p takes on are 1, 2, and 3.
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
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
How does the maximum side friction available on a roadway change as vehicle speed increases? O No clear relationship Decreases Increases

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