Fundamentals Of Structural Analysis:
5th Edition
ISBN: 9781260083330
Author: Leet, Kenneth
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 10, Problem 16P
To determine
Analyze the frame and use symmetry to simplify the analysis.
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=
a2+
Assume an origin is connected to a destination with two routes. Assume the travel time of each
route has a linear relationship with the traffic flow on the route (t₁ = α₁ + b₁x₁ ; t₂
b2x2). Determine under what condition (e.g. a relationship among the parameters of the
performance functions) tolling cannot reduce the total travel time of the two routes.
A suburb has 2000 households. The council hired two transport consulting companies to
predict the generated work trips from within the suburb after building a few residential
complexes. The new buildings will increase the number of households to 2500. The following
information is provided:
Type
Household Size
Household Count
Projected Household Count
1
1
500
800
2
2
800
900
3
3
700
800
Each company has conducted different travel surveys from 200 households based on different
sampling methods. The work trip generation models are as follows:
Company A: T₁ = -0.1 + 0.8 (household size)
Company B: T₁ = 0.1 + 0.5 (household size)
a.
If the total number of current work trips is 2700, which model should be used for prediction?
Why?
b. What are the possible reasons for the difference between the two models?
C.
As a transport engineer working for council, propose a new and more accurate model based
on Companies A and B models.
d. Based on the new model in Part C, predict the number of work…
Consider the following static route choice problem where 110 vehicles travel from point A to
point B. The corresponding travel time (in minutes) of each link is as follows:
t₁ = x1; t₂ = x2 + 20; t3 = x3 + 10; t₁ = 3x4
where x; denotes the number of vehicles that choose link i.
Find the number of vehicles that travel on each link when
a. The user equilibrium condition (UE) is satisfied, where vehicles select the route with the
minimum travel time; and
b. The system optimum condition (SO) is satisfied, where the total travel time is minimised.
C.
Report the total delay savings when satisfying SO instead of UE.
2
A
B
3
4
Chapter 10 Solutions
Fundamentals Of Structural Analysis:
Ch. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10P
Ch. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Figure P10.13 shows the forces exerted by the soil...Ch. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35P
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