CEE 408 University of Illinois Transportation Estimation Characteristics Questions

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Enlna2020

Engineering

CEE 408

university of illinois

CEE

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I need someone to do a homework for me about Transportation Characteristics with no copying and plagiarism. I need to get full mark plz

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CEE 408/508 HOMEWORK #3 Due 06/16/2020 Problem 1 (5 points) Vehicles moving along a multilane road section maintain fixed speeds. Each vehicle, however, moves at its own speed that may differ from the speeds of other vehicles. Vehicle trajectories and speeds in a rectangular area are defined by t = 0 - 1 minute and x = 0 - 1 mile (see figure below). 1) Estimate the hourly volume, time-mean speed, and approximated space-mean speed from the spot observation at point x = 0.2 mi during the period t = 0-1 min. 2) Estimate the traffic density and space-mean speed from the instantaneous observation at time t = 0.1 min between points x = 0 mi and x = 1 mi. miles 1.0 47.1 mi/h 0.9 59.6 22.5 0.8 37.3 0.7 34.2 46.5 0.6 42.4 0.5 46.5 0.4 30.5 52.6 0.3 0.2 37.4 47.5 0.1 28.2 0.0 0.0 Problem 2 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 minute (5 points) Occupancy data from a single loop detector was obtained from a one-way street. The loop detector has a length of 6 feet and was observed to have six vehicles cross over it in a period of 30 seconds. The duration and the length of each vehicle are shown in the table below. Use the average vehicle length in your calculations. Vehicle Duration (sec) Length (ft) 1 2 3 4 5 6 0.31 0.38 0.3 0.33 0.39 0.35 17 21 22 18 24 19 Estimate the values of q, k and u. Problem 3 (5 points) Assuming a linear speed-density relationship, the mean free speed is observed to be 65 mph at near zero density and the corresponding jam density is 160 veh/mi. Assume that the average length of vehicles is 20 feet. 1) Write down the equations for the speed-density and the flow-density relationships. 2) Calculate the speed and density corresponding to a flow of 1000 veh/hr/ 3) Calculate the average time headway and average space headway when the traffic flow is at the maximum value.
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Explanation & Answer

Attached.

Problem 1

𝑁=6
𝑞=

6 𝑣𝑒ℎ𝑖𝑐𝑙𝑒𝑠
∗ 3600
60𝑠𝑒𝑐

𝑞 = 360

𝑣𝑒ℎ𝑖𝑐𝑙𝑒𝑠
ℎ𝑜𝑢𝑟

𝑈𝑡 =

𝑠𝑢𝑚𝑚𝑎𝑡𝑖𝑜𝑛 𝑜𝑓 𝑈𝑖
𝑁

𝑈𝑡 =

59.6 + 46.5 + 52.6 + 30.5 + 37.4 + 47.5
𝑚𝑖
= 45.68
6
ℎ𝑟

𝑈𝑠 =

1
1
1
𝑁 (𝑠𝑢𝑚𝑚𝑎𝑡𝑖𝑜𝑛 𝑜𝑓 𝑈𝑡 )

= 43.52

𝑚𝑖
ℎ𝑟

2.
𝑘=

𝑁
8
𝑣𝑒ℎ𝑖𝑐𝑙𝑒𝑠
=
=8
𝐿 1 𝑚𝑖𝑙𝑒
𝑚𝑖...


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