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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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)
4. An engineer has the following data for a highway segment u (mph) 70 65 58 53 47 42 44 38 32 29 20 k (veh/mi) 15 34 47 62 78 89 94 103 109 134 153 a. Applying Greenshields' assumptions, estimate the mean free speed and jam density. b. What are the maximum flow and the corresponding density? What are average headway and spacing when k=50veh/mi d. Assume each speed is an individual vehicle, traveling over a 4 mile segment. Calculate С. i. Time mean speed ii. Space mean speed
Expicy study of freeway flow at a particular site has resulted in a calibrate speed- density relationship as follows:- V= 57.5(1-0.008 D) For this relationship, determine: a) The free-flow speed and jam density b) The speed- flow relationship and the flow-density relationship c) The capacity of the site mathematically
3(b) Another section of the highway has the Following Flow density relationship: q = 50k - 0.156 k²; H q= (v) 2M2 at bas Determine: 9977 Fa (i) the maximum flow (qmax) of the highway Section? (0) Lii) the speed at maximum flow? booge wolf - A 14 (1) Ciii) the density (K) when the highway is at one-quarter of its capacity?
Problem 6 Traffic on a single-lane urban street observes the following flow-density relationship: q=30k(1-k/180), where q is the traffic flow in vehicles per hour (VPH), and k is the traffic density in vehicles per mile (VPM). Answer the following questions: a. | Calculate the free flow speed, capacity, and jam density of the traffic flow. b. What is the minimum spacing and the minimum (time) headway of the traffic flow? What is the traffic volume when the travel speed is 20 MPH? C.
6. A subdivision road is entering a public road. There is a stop sign before entering the public road. The reaction time is 2.5 seconds. The friction factor is 0.3. What the triangle dimensions that will define the clear sight triangle easement. Grade Speed % mph 3.0 20 Subom Rd 2. 3.5 25 3 4.0 40 4 4.5 30 1.0 35 2.0 40 7. 1.5 35 8. 2.5 55 9. 3.0 20 10 3.5 40 11 1.0 30 12 1.5 35 13 3.0 40 14 2.5 30 m2.
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)
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1. (a) The following relationship between traffic speed and flow applies to a particular urban highway:- q = 192u - 44u In u where q = flow in veh/hr. u= speed in km/hr. Calculate the following:- (i) (iii) The mean speed when the highway flow is at maximum capacity The capacity of the highway The density at maximum flow capacity The space mean free speed The jam density (b) Plot diagrams to show the relationships between flow, speed and density given Question 1(a). Use these diagrams to describe what happens when flow changes from uncongested to congested along the highway.
3(a) A section of a highway highway has a speed-flow relationship of the form: q = av² + bv. It is known that a flow (q) of 2400 veh/h and the SMS (v) of traffic is 48 km/h. Determine (i) the speed (v) when the flow is 1400 veh/h? Ci the free - Flow speed?
Question 2. The capacity of a lane of a highway is 1200 veh/h and the free flow speed at the location is 60 mph. (a) What is the jam density of the lane? (b) Write the Greenshield's model equation for speed-vs-density relation. (c) If the speed at a given time is 50 mph, what is the flow corresponding rate? Use the Greenshield's model derived in (b). (d) What is the speed and density when the flow rate is equal to the capacity?
Apply the Edie two-regime model to the data set shown in Figure Question 1a. Select what you consider to be appropriate flow parameters and breakpoint location between the free-flow regime and the congested-flow regime. Summarize your results in a fashion similar to Figure Question 3. Perform a sensitivity analysis of the effect of flow parameters and breakpoint location on the suitability of the resulting flow-speed-density relationships.

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