GATE CE 2022 Set 2 — Question 65
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Transportation Engineering → Intersections & Signals → Signal Design (Webster's)
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Question
The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is for the East-West and the West-East through movements, and the second phase is for the North-South and the South-North through movements. There are no turning movements. Assume that the saturation flow is 1800 vehicles per hour per lane for each lane and the total lost time for the first and the second phases together is 9 seconds.
The optimum cycle length (in seconds), as per the Webster’s method, is ____________. (round off to the nearest integer)
Correct answer
37 to 37
Solution
1.Identify critical lane volumes for each phase:
- Phase 1 (East-West and West-East):
- East-West has 2 lanes with 504 vph each. Volume per lane = 504.
- West-East has 2 lanes with 440 and 460 vph. Max volume per lane = 460.
- Critical flow for Phase 1 () = vph.
- Phase 2 (North-South and South-North):
- North-South has 1 lane with 396 vph.
- South-North has 1 lane with 360 vph.
- Critical flow for Phase 2 () = vph.
- Saturation flow () = 1800 vph per lane.
- Total lost time () = 9 seconds.
- seconds.
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