PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 7, Problem 7P
To determine
The optimum cycle length and the timing stage effective green times.
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Traffic demand shown in the figure below uniformly arrives at an intersection. Determine the
optimal cycle length and split for the 2- phase signal control. The saturation flow rate of each
approach is 2000 [veh/hr of effec-tive green] during the first 40 [sec] after the start of green, but it
drops to 1900 [veh/hr of effective green] thereafter. Also, the lost time is assumed to be 5
[sec/phase].
1000[veh/h]
300[veh/h]
500[veh/h]
1300[veh/h]
Calculate green split for each approach (Eastbound, Westbound, Northbound, Southbound) using Webster method. Given: Two through lanes and one left turn lane; Saturation Flow Rate: Through = 1,900 veh/hr/ln and Left turn = 900 veh/hr/ln. Total lost time = 4 seconds.
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
Chapter 7 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
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- A simple four-legged intersection needs a fixed-time signal. The critical lane flows in the N-S and E-W directions are 950 and 600 veh/hr/ln, respectively. Saturation flow is 1,950 veh/hr/ln and the lost time per phase is 6 seconds. Assume yellow interval is 3 seconds and all red interval is 2 seconds. Determine the cycle length and the distribution of green using Webster’s method.arrow_forwardAssume h=1.8 sec/veh. Pedestrian demand for all approaches is 120 per hour, pedestrian speed is 4 ft/sec, deceleration rate = 9 ft/s², reaction time is 1.5 sec, vehicle length is 20 ft. Use 12 seconds lost time per phase. Estimate the desired Cycle length using Time Budget Method 375 One way PHF -0.8 Target V/C 0.85 Medium Pedestrian 45 mph WB and NB 60 ft Crosswalk width=11 ft Level grades Phase 2 One way 60ft 1,200 300- 2,105 t Phase 1 ורוarrow_forward7.24 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).arrow_forward
- 8. (15 points) Calculate the "clearance period," the "yellow time," and the "all-red period" for a signalized intersection. Assume that the initial vehicle speed, intersection length, and vehicle length are 45 mi/h, 44 ft, and 22 ft, respectively. Also, deceleration rate is 10 ft/s and driver reaction time is 1 second.arrow_forwardQ2/ A 3-phase traffic signal (cycle time 114 sec) is used at intersection of approach x, y, and z with equal effective green time at all approaches. Assuming that width of approach= 12 m, % left turning =30. show the following for one of the approaches: a- A sketch showing the sequence of all controller times appearing during one cycle indicating their values. b- Number of vehicles that could be discharge per cycle.arrow_forwardQuestion- A signalized intersection operates in two phases. The lost time is 3 seconds per phases. The maximum ratios of approach flow to saturation flow for the two phases are 0.37 and 0.40. The optimum cycle length using the Webster's method (in seconds, round off to one decimal place) is...arrow_forward
- 25 The table below shows the design flow rate and saturation flow rate for a major intersection on a highway. Using the Webster method, determine the optimum cycle length for the intersection and also determine the green time for each phase. Design Flow Rate (pcu/hr) Through Phase Saturation Flow Rate (pcu/hr) Intergreen period (sec) Left Through Left A 976 234 3700 1615 3.5 676 135 3700 1615 3.5 194 26 3700 1615 3.5 322 371 3700 1615 3.5arrow_forwardFor the geometric characteristics, traffic conditions (traffic volumes are in vehicles per hour) and signal timing shown below, complete parts A through E for the Northbound and Eastbound approaches. A. Adjust the volumes. B. Find the saturation flow rate. C. Find the degree of saturation. D. Find the theoretical delay for each movement. E. Find the theoretical delay and LOS for the EB and NB approaches. Bus stop 5 stops/hr $12 ft teach 6% HV 400 6% HV 650 100 12 ft each - Isolated signal with random arrivals, AT-3 - No residual demand delay 11 ft each - No bicycles or pedestrians Bus stop 5 stops/hr P C = 60 sec Lost time = 3.5 sec/ 7550 2% HV - G=42 Y=4 G=10; Y=4 G=8 Y=4 G=30 Y=4 Φ1 Φ2 ФЗ Assume the intersection is located at Central Business District (CBD) Assume that both the streets are located on level grades, i.e. G = 0 Assume a PHF = 0.95 Assume random arrival i.e. AT-3 Assume that the intersection is isolated and signal is pre-timedarrow_forwardQ2: An intersection approach has a cycle length of 110 sec and the effective green time is 45 sec. The arrival rate varies over tree cycles. The arrival rate is 1000 veh/h during the first cycle, 800 veh h during the second eycle, and 580 veh/h during the third cycle. The Question: Find the average delay for the approach over tree cycles, if the departure rate is 2500 veh h.arrow_forward
- TRANSPORTATION ENGINNERING-TRAFFIC SIGNALS An approach to a predetermined signal has 25 seconds of effective green for a 60 second cycle. The approach volume is 500 vehicles/hour and the saturation flow rate is 1400 vehicles/hour. Calculate the average vehicle delay using D/D/1 queing.arrow_forwardA simple four legs intersection needs a fixed time signal and the traffic flow condition is shown as below. Determine (a) the critical flow in N-S and E-W directions. (b) Find out the saturation flow if saturation headway is 1.5s. (c) Determine the cycle length and distribution of green time (suppose the lost time per phase is 4.2 seconds)arrow_forwardThe following data was collected during a study of two arterial lanes. Estimate the continuous 15-minute counts for the two-lane roadway as a whole. Find the peak hour, and compute the PHF.arrow_forward
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