1(a)3One lane of ahighway is carrying 540 vehicles per hour.Assuming that vehicle arrival rates at any point along thelane follow a Poisson distribution, determine the numberhour travelling along that lane atof vehiclesperheadway of 4 seconds orMore?

Approximately 0.01 vehicles per hour have a headway of 4 seconds or more along the…

Answered: 1(a) 3 One lane of a highway is…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Table below shows the frequency of each speed collected from a rural highway segment. Caiculate the 85-percentile speed. Note: The 85-percentile speed is designed as the speed at or below which 85% of the traffic is travelling. Speed (MPH 25 Frequency 28 2 1 29 32 33 35 2 36 1 37 39 2 42 1 43 45 5 46 2 47 3 48 49 3 50 51 52 1 53 2 54 1 55 56 1 57 2 60 1 61 2 62 1 63 1 64 1 65 1 66 69
Two observers have determined that the time headways between successive vehicles are exponentially distributed and that 70% of the headways are 8s or greater. If one of observer decides to count traffic in 40s intervals, and the other in 35s intervals, estimate the probability of each observer counting 5 or more vehicles in their own intervals?
Question: A section of highway is known to have a free-flow speed of 55 mph and a capacity of 3300 veh/hr. In a given hour, 2100 vehicles were counted at a specified point along this highway section under uncongested conditions. If the linear speed- density relationship applies, what would you estimate the space-mean speed of these 2100 vehicles to be? Show all the calculation steps.
Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds is
F] Vehicles travel at constant speeds on a one-lane one-way street between sections X and Y. An observer located at point X observes the four vehicles passing point X during a period of 10 seconds. The speeds of the vehicles are measured as 45, 45, 40, and 30mph, respectively. Calculate the average flow, density, time mean speed, and space mean speed.

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1(a) 3 One lane of a highway is carrying 540 vehicles per hour. Assuming that vehicle arrival rates at any point along the lane follow a Poisson distribution, determine the number hour travelling along that lane at of vehicles per headway of 4 seconds or More?