Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 13, Problem 23P
To determine
An evaluation report for the given proposals by considering the cost effectiveness of each attribute.
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Consider the cross-sections illustrated in the next slides. Implement a
cross-sectional analysis based on a layered discretisation of the cross-
section as required at the following.
1) Develop the implementation of an analysis to estimate the nonlinear
response of the composite steel-concrete section, of the reinforced
concrete section and of the steel section shown in following slides
(using material nonlinear models provided in the support files).
Provide the details of the numerical implementation with clear
explanations of all steps.
Hint: the implementation can be done in Excel.
2) Discuss how the 3 cross-sections (shown in the next slides) compare
to each other in terms of embodied carbon under the condition that
the cross-sections possess the same nominal moment capacity (i.e. the
peak moment achieved in the moment-curvature diagram).
The discussion should include at least 2 sets of the sections (each set
contains one composite section, one reinforced concrete section and
one…
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; t3x3 + 10; t₁
= 3×4
where
Xi
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
B
A
3
4
= α₂+
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.
Chapter 13 Solutions
Traffic and Highway Engineering
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