GATE CE 2014 Set 1 — Question 63
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Transportation Engineering → Intersections & Signals → Signal Design (Webster's)
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Question
An isolated three-phase traffic signal is designed by Webster's method. The critical flow ratios for three phases are , , and respectively, and lost time per phase is seconds. The optimum cycle length (in seconds) is
Correct answer
90 to 95
Solution
According to Webster's method, the optimum cycle length () is calculated using the formula:Where:
Given that there are phases and the lost time per phase is seconds:Step 2: Calculate the sum of critical flow ratios ()
Given critical flow ratios , , and :Step 3: Calculate the optimum cycle length ()The optimum cycle length is seconds, which falls within the range of to .
- is the total lost time per cycle.
- is the sum of the critical flow ratios for all phases.
Given that there are phases and the lost time per phase is seconds:Step 2: Calculate the sum of critical flow ratios ()
Given critical flow ratios , , and :Step 3: Calculate the optimum cycle length ()The optimum cycle length is seconds, which falls within the range of to .
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