PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 7, Problem 61P
To determine
The minimum necessary cycle length.
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Exercise 6
A three phase signal design is given below.
●
●
●
Hic Signal
What is the sum of the flow ratios for the critical lane groups?
What is the total lost time for a signal cycle assuming 2 seconds of clearance lost
time and 2 seconds of startup lost time per phase?
What is the cycle length using Webster Method?
EB -
Phase
1
2
3
-200
20
SB
30
100-
Lane
group
SB
NB
EB
WB
400
1000
NB
150
50
300
30
WB
Saturation Flows
3400 veh/hr
3400 veh/hr
1400 veh/hr
1400 veh/hr
A fixed time two-phase signal is to be designed for a four-legged intersection, for which the design
hourly flow and saturation flow are given below:
Details of flow
Details hourly flow (veh/h)
Saturation flow (veh/h)
North South East
West
570 320 550 455
1750 1500 2210 2265
Time lost per phase due to starting delays is 2 seconds. Calculate the optimum cycle time and
allocate the green time for the two phases using Webster's method.
An intersection has a three-phase signal with the movements allowed in each phase and corresponding
analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a
critical intersection v/c of 0.90 is desired.
Phase
3
Allowed movements
NB L, SB L
NB T/R, SB T/R
EB L, WB L
ЕВ TR, WB TR
Analy sis flow rate
330, 365 veh/h
1125, 1075 veh/h
110, 80 veb/h
250, 285 veh/h
Saturation flow rate
1700, 1750 veh/h
3400, 3300 veh/h
650, 600 veh/h
1750, 1800 veh/h
Calculate the sum of the flow ratios for the critical lane groups.
0.787
O 0.857
O 0.709
O 0,829
Chapter 7 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
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- A pretimed four-phase signal has critical lane group flow rates for the first three phases of 200, 187, and 210 veh/h (saturation flow rates are 1800 veh/h/In for all phases). The lost time is known to be 4 seconds for each phase. Assuming X₁ = 0.9. If the cycle length is 60 seconds, what is the estimated effective green time of the fourth phase? 6.93 sec O 21.89 sec Ⓒ 7.78 sec Q 7.41 secarrow_forwardAn intersection has a three-phase signal with the movement allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired Phase 1 2 3 Allowed Movement NB L, SB L NB T/R, SB T/R EB L, WB L EB /T/R, WB T/R Analysis Flow Rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation Flow Rate 1700, 1750 veh/h 3400, 300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate the Following: 1.)Sum of flow ratios for critical lane groups 2.)minimum cycle length 3.)using v/c equation ratio, calculate the effective green time for phase 1 4.)using v/c equation ratio, calculate the effective green time for phase 2 5.)using v/c equation ratio, calculate the effective green time for phase 3arrow_forwardAn intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. 155 sec Calculate minimum cycle length O 100 sec 255 sec Phase O 60 sec Allowed movements. Analysis flow rate Saturation flow rate 1 NB L, SB L 330, 365 veh/h 1700, 1750 veh/h 2 NB T/R, SB T/R 1125, 1075 veh/h 3400, 3300 veh/h EBL, WBL 110, 80 veh/h 650, 600 veh.h 3 EB T/R, WB T/R 250, 285 veh/h 1750, 1800 veh/harrow_forward
- An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 2 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WBL EB T/R, WB T/R Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate minimum cycle length O 255 sec O 155 sec O 100 sec O 60 secarrow_forwardA 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_forwardAn intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. O 15.552 sec O 11.462 sec O 14.825 sec Phase O 16.065 sec Allowed movements Analysis flow rate Saturation flow rate Using v/c equalization ratio, calculate the effective green time for phase 3 1 NB L, SB L 330, 365 veh/h 1700, 1750 veh/h 2 NB T/R, SB T/R 1125, 1075 veh/h 3400, 3300 veh/h EB L, WB L 110, 80 veh/h 650, 600 veh/h 3 EB T/R, WB T/R 250, 285 veh/h 1750, 1800 veh/harrow_forward
- An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. O 12.105 sec O 15.954 sec O 13.190 sec Phase O 14.127 sec Allowed movements Analysis flow rate Saturation flow rate 1 NB L, SB L 330, 365 veh/h 1700, 1750 veh/h Using v/c equalization ratio, calculate the effective green time for phase 1 2 NB T/R, SB T/R 1125, 1075 veh/h 3400, 3300 veh/h EBL, WBL 110, 80 veh/h 650, 600 veh/h 3 EB T/R, WB T/R 250, 285 veh/h 1750, 1800 veh/harrow_forwardPlease 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 Dataarrow_forwardAn intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB T/R Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate the sum of the flow ratios for the critical lane groups. O 0.709 O 0.857 O 0.787 O 0.829arrow_forward
- An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB T/R Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 veh/h Using v/c equalization ratio, calculate the effective green time for phase 1 O 15.954 sec O 12.105 sec O 14.127 sec O 13.190 secarrow_forwardAn intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired. Phase 1 2 3 Allowed movements NB L, SB L NB T/R, SB T/R EB L, WB L EB T/R, WB TR Analysis flow rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation flow rate 1700, 1750 veh/h 3400, 3300 veh/h 650, 600 veh/h 1750, 1800 vehh Calculate minimum cycle length O 255 sec O 60 sec O 155 sec O 100 secarrow_forward5. Design signal timing for an intersection with the following details. Assume a total loss time of 3 seconds per phase. Width of lanes are 12 ft each. Assume that there are 20 pedestrians crossing each of the approaches per cycle. Check the signals for pedestrian crossing time. Take pedestrian walking speed as 4 ft/s. Saturation flow rates are: Left-turning: 1600 veh/hr/ln, Through: 1800 veh/hr/In, and Right- turning: 1700 veh/hr/In A 488 488 115 1051 217 N 338 -338 (В Phase I Phase II Phase III J!!! J↓↓ Yrarrow_forward
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