1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1) 1) A section of highway has the following flow-density relationship:
q-50k-0.156k²
What is the capacity (maximum flow) of the highway section, the space mean speed at capacity,
and the density when the traffic flow on the highway is at one-quarter of its capacity?
2) An observer has determined that the time headways between successive vehicles on a section
of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60%
of the headways between vehicles are 13 seconds or greater. If the observer decides to count
traffic in 30-second time intervals, estimate the probability of the observer counting exactly four
vehicles in an interval.
Transcribed Image Text:1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity? 2) An observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60% of the headways between vehicles are 13 seconds or greater. If the observer decides to count traffic in 30-second time intervals, estimate the probability of the observer counting exactly four vehicles in an interval.
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