Question 2If the model in us = In uf - k/kj is applicable to depict the correlation between speed (mi/h) and density (veh/mi) on ahighway segment, and employing regression analysis provides the model constants Y = A + BX (where Y = In u, X = k)as A = 3.9 and B = -0.018, then calculate the:Jam density in veh/km. Express answer into two decimal places. Do not type the unit.veh/km.

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Answered: If the model in us = In uf-k/kj is…

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 traffic shows data on speeds and corresponding densities on a section of a rural collector road. If it can assumed that the traffic flow characteristics can be described by the Greenberg's model, develop an appropriate relationship between the speed and flow and their modelled plotted points to be shown in the Q-u diagram. How strong the correlation of the two are? Also determine the capacity of this section of the road. Traffic Data Speed (kph) 60 Density (Veh/km) 20 46 32 40.8 38 39.3 40 35.7 45 32.6 50 30.8 53 28.4 57 24.7 65 18.5 80
Assuming that the expression: u = ue i, can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 50 38.4 33.8 53.2 42.3 31 Under what flow conditions is the above model valid?
7) In studying of traffic flow at a highway toll booth over a course of 60 minutes, it is determined that the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary according to the function A(t) = 1.8+0.25t - 0.00312. The departure rate function is u(t) = 1.4 +0 .1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and „u(t) are in vehicles per minute. At what time does the maximum queue length occur? a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min
6-9 Assuming that the expression: - k/k, us = Ufe can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 38.4 50 33.8 8. 53.2 31 42.3
SITUATION The data presented in the table illustrates traffic density-speed information gathered from a segment of a highway. If we assume the Greenberg model describes this data, employ linear regression analysis to ascertain the following: Density, k (vpm) 100 92 84 75 70 64 60 54 42 35 28 22 Speed, u, (mph) 20 21 25 27 29 33 35 38 41 46 53 61 determine: Density at maximum flow in veh/mi. Express answer into two decimal places. Do not type the unit. veh/mi
Question 2 If the model In us= ln uf - k/kj is applicable to depict the correlation between speed (mi/h) and density (veh/mi) on a highway segment, and employing regression analysis provides the model constants Y = A + BX (where Y = In u, X = k) as A = 3.9 and B = -0.018, then calculate the: Jam density in veh/km. Express answer into two decimal places. Do not type the unit. veh/km.
Vehicles are driving at 35 miles/hour in a roadway. A slow truck joins the traffic at 15 mile/hour for 1.5 miles. Assume the following q-k model and traffic parameters. Uf=60; Kj=120;qcap=1800; q=60k-0.5k^2. Using shockwave analysis, determine the following: Q1: When the truck pulls off the road, how long is the queue behind the truck? Q2: After the truck pulls off the road, how long it takes for the queue to disappear?
The data shown below were obtained on a highway. Use regression analysis to fit these data to the Greenshields & Greenberg model and determine the capacity AND R-SQUARE. Speed (km/h)| Density (veh/km) 50 18 45 25 40 41 34 58 22 71 13 88 12 99
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. ufk² k; q=u₁k- If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 66.075 56 54 45 40 28 21 17 19 24 44 55 72 89 100 X Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume 132.15 X Your response differs from the correct answer by more than 100%. veh/mi 48.403 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. veh/h
A vehicle moving at a speed of 50 mph is slowing traffic on a two-lane highway. What passing sightdistance is necessary, in order for a passing maneuver to be carried out safely? Calculate the passingsight distance. In your calculations, assume that the following variables have the values given: Passing vehicle driver's perception/reaction time = 2.5 sec Passing vehicle's acceleration rate = 1.47 mph/sec Initial speed of passing vehicle = 50 mph Passing speed of passing vehicle = 60 mph Speed of slow vehicle = 50 mph Speed of opposing vehicle = 60 mph Length of passing vehicle = 22 ft Length of slow vehicle = 22 ft Clearance distance between passing and slow vehicles at lane change = 20 ft Clearance distance between passing and slow vehicles at lane re-entry = 20 ft Clearance distance between passing and opposing vehicles at lane re-entry = 250 ft
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Three seconds after automobile B passes through the intersection shown, automobile A passes through the same intersection. Given, the speed of automobile A is VA = 55.00 mi/h and automobile B is vg= 34.00 mi/h, respectively. Also, know that the speeds are constant for the automobiles during the encounter. N 70° S + VA vB Determine the distance between the two automobiles 2 s after A has passed through the intersection. The distance between the two automobiles 2 s after A has passed through the intersection is
The table below shows data on speed and corresponding densities on a section of a collector road. It can be assumed that the traffic flow characteristics can be described by the greenberge model, develop an appropriate relationship between flow and density. Also deyerdete the capacity of this section of the road Speed kph density veh/km 60 20 46 32 40.8 38 39.3 40 35.7 45 32.6 50 30.8 53 28.4 57 24.7 65 18.5 80

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