7.12 The saturation flow rate of an approach to a pretimed signal is 6000 veh/h. The signalhas a 60-second cycle with 20 seconds of effective red allocated to the approach.At the beginning of an effective red (with no vehicles remaining in the queue from aprevious cycle), vehicles start arriving at a rate v(t) = 0.4 +0.01t + 0.00057+² (wherev(t)) is in vehicles per second and t is the number of seconds from the beginning of thecycle).30 seconds into the cycle the arrival rate remains constant at its 30-second level and stays atthat rate until the end of the cycle. What is the total vehicle delay over the cycle (in vehicle-seconds), assuming D/D/1 queuing?

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7.12 The saturation flow rate of an approach to a pretimed signal is 6000 veh/h. The signal has a 60-second cycle with 20 seconds of effective red allocated to the approach. At the beginning of an effective red (with no vehicles remaining in the queue from a previous cycle), vehicles start arriving at a rate v(t) = 0.4 + 0.01t + 0.00057t² (where v(t)) is in vehicles per second and t is the number of seconds from the beginning of the cycle). 30 seconds into the cycle the arrival rate remains constant at its 30-second level and stays at that rate until the end of the cycle. What is the total vehicle delay over the cycle (in vehicle- seconds), assuming D/D/1 queuing?

7.12 The saturation flow rate of an approach to a pretimed signal is 6000 veh/h. The signal has a 60-second cycle with 20 seconds of effective red allocated to the approach. At the beginning of an effective red (with no vehicles remaining in the queue from a previous cycle), vehicles start arriving at a rate v(t) = 0.4 + 0.01t + 0.00057t² (where v(t)) is in vehicles per second and t is the number of seconds from the beginning of the cycle). 30 seconds into the cycle the arrival rate remains constant at its 30-second level and stays at that rate until the end of the cycle. What is the total vehicle delay over the cycle (in vehicle- seconds), assuming D/D/1 queuing?

Structural Analysis

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Chapter2: Loads On Structures

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Problem 1P

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Question

7.12 The saturation flow rate of an approach to a pretimed signal is 6000 veh/h. The signal
has a 60-second cycle with 20 seconds of effective red allocated to the approach.
At the beginning of an effective red (with no vehicles remaining in the queue from a
previous cycle), vehicles start arriving at a rate v(t) = 0.4 +0.01t + 0.00057+² (where
v(t)) is in vehicles per second and t is the number of seconds from the beginning of the
cycle).
30 seconds into the cycle the arrival rate remains constant at its 30-second level and stays at
that rate until the end of the cycle. What is the total vehicle delay over the cycle (in vehicle-
seconds), assuming D/D/1 queuing?

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