Calculate the critical volume then estimate the green time interval for each pha

Question

Calculate the critical volume then estimate the green time interval for each phase of the intersection using the data provided below. Assume that the intersection will operate as a simple two phase cycle with a 120 second cycle length. Please also assume 4 lanes per intersection approach (2 lanes in each direction).

Yellow + all-red is 5.0 seconds /

phase Northbound peak hour volume is 560 vph

Southbound peak hour volume is 750 vph

Westbound peak hour volume is 760 vph

Eastbound peak hour volume is 960 vph

Explanation / Answer

total effective green time of cycle(Tg)=cycle time -(yellow +all red time)=120-5=115 sec

critical lane volume for phase 1(VC1)=750vph

critical lane volume for phase 2(VC2)=960 vph

effective green time for first phase=VC1/(VC1+VC2) XTg=115x(750/1710)=50.43sec

effective green time for second phase=VC2/(VC1+VC2)XTg=115x(960/1710)=64.56sec

actual green time for first phase=50.43sec-5sec=45.43sec

actual green time for second phase=59.56sec-5sec=59.56sec

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