1. An equation has been calibrated for the amount of time (in seconds) required to clear N vehicles through a given signal phase (N>5): T= 2.04+2.35N a. What start-up lost time does this equation suggest? b. What saturation headway and saturation flow rate are implied by the equation? 2 The saturation flow rate for an intersection approach is 3600 veh/h. At the beginning of a cycle (effective red) no vehicles are queued. The signal is timed so that when the queue (from the continuously arriving vehicles) is 13 vehicles long, the effective green begins. If the queue dissipates 8 seconds before the end of the cycle and the cycle length is 60 seconds, what is the arrival rate, assuming D/D/1 queuing?

1. An equation has been calibrated for the amount of time (in seconds) required to clear N vehicles through a given signal phase (N>5): T= 2.04+2.35N a. What start-up lost time does this equation suggest? b. What saturation headway and saturation flow rate are implied by the equation? 2 The saturation flow rate for an intersection approach is 3600 veh/h. At the beginning of a cycle (effective red) no vehicles are queued. The signal is timed so that when the queue (from the continuously arriving vehicles) is 13 vehicles long, the effective green begins. If the queue dissipates 8 seconds before the end of the cycle and the cycle length is 60 seconds, what is the arrival rate, assuming D/D/1 queuing?

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

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

Question

1. An equation has been calibrated for the amount of time (in seconds) required
to clear N vehicles through a given signal phase (N>5):
T= 2.04 +2.35N
a. What start-up lost time does this equation suggest?
b. What saturation headway and saturation flow rate are implied by the
equation?
2 The saturation flow rate for an intersection
approach is 3600 veh/h. At the beginning of a cycle
(effective red) no vehicles are queued. The signal is
timed so that when the queue (from the continuously
arriving vehicles) is 13 vehicles long, the effective
green begins. If the queue dissipates 8 seconds before
the end of the cycle and the cycle length is 60 seconds,
what is the arrival rate, assuming D/D/1 queuing?
3
An intersection has a four-phase signal with the
movements allowed in each phase and corresponding
analysis and saturation flow rates shown in The table below
Calculate the sum of the flow ratios for the critical lane
groups.
Phase
Allowed movements
Analysis flow rate
Saturation flow rate
1
EB L, WB L
245, 230 veh/h
1750, 1725 veh/h
2
EB T/R, WB T/R
975, 1030 veh/h
3350, 3400 veh/h
3
SB L, SB T/R
255, 235 veh/h
1725, 1750 veh/h
4
NB L, NB T/R
225, 215 veh/h
1700, 1750 veh/h

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7.24 Vehicles arrive at an approach to a pretimed signalized intersection. The arrival rate over the cycle is given by the function v(t) = 0.22 + 0.012t [v(t) is in veh/s and t is in seconds]. There are no vehicles in the queue when the cycle (effective red) begins. The cycle length is 60 seconds and the saturation flow rate is 3600 veh/h. Determine the effective green and red times that will allow the queue to clear exactly at the end of the cycle (the end of the effective green), and determine the total vehicle delay for this approach over the cycle (assuming D/D/1 queuing).
An observer notes that an approach to a pretimed signal, the time it will take the queue to clear after the start of the effective green (assuming that approach capacity exceeds arrivals and D/D/1 queuing applies) is 60 s. If the saturation flow rate is 1440 veh/h and the effective red time is 40 seconds, what is the maximum number of vehicles in a queue in a given cycle?
Please estimate the minimum cycle length and the green intervals for the following signalized intersection (Figure 7). Please note that the minimum cycle length will be influenced by the design of the phasing diagram. The arrival flow, in pcu/h, for each direction, is illustrated in Figure 7. Please assume any missing values. Lost time following each phase = 2 sec, Amber = 3 sec, Red all = 1 sec, saturation flow 1400 pcu/h. 196, 367, 170 JIL! 400, 140, 215 716 120, 417, 232 400, 433, 184 Figure 7. Intersection Layout and Traffic Flow Data
7.12 The saturation flow rate of an approach to a pretimed signal is 6000 veh/h. The signal has a 60-second cycle with 20 seconds of effective red allocated to the approach. At the beginning of an effective red (with no vehicles remaining in the queue from a previous cycle), vehicles start arriving at a rate v(t) = 0.4 +0.01t + 0.00057+² (where v(t)) is in vehicles per second and t is the number of seconds from the beginning of the cycle). 30 seconds into the cycle the arrival rate remains constant at its 30-second level and stays at that rate until the end of the cycle. What is the total vehicle delay over the cycle (in vehicle- seconds), assuming D/D/1 queuing?
Recent computations at an approach to a pretimed-signalized intersection indicate that the volume-to-capacity ratio is 0.8, the saturation flow rate is 1600 veh/h, and the effective green time is 50 seconds. If the uniform delay is 11.25 seconds per vehicle, determine the arrival flow rate (in veh/h) and the cycle length.
The following calculations are taken at the approach of an intersection during the morning rush hour. Determine (a) the hourly volume, (b) the peak flow rate in one hour, and (c) the peak hour factor.
(b) An approach to a pretimed signal has 25 seconds of effective green in a 60-second cycle. The approach volume is 500 vph and the saturation flow rate is 1400 vph. Calculate the average vehicle delay assuming D/D/1 queuing.