Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Chapter 12, Problem 3P
To determine
Draw the shear and bending moment diagrams for the girders of given frame.
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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.
Beban berjalan pada konstruksi balok seperti pada gambar, tentukan besar gaya dalam
yang terjadi dengan metode Garis Pengaruh. Gaya dalam berupa :
Reaksi tumpuan RA dan RB, Gaya lintang max di titik C, Momen Maksimum di titik C
A
+
Dimana:
B
D
10
5 m
5 m
P1 = 12t
P2 = 6t
P3 = 18t
q= 6 t/m
2
3
q = 6 t/m
P1 P2
P3
Chapter 12 Solutions
Structural Analysis, SI Edition
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