Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Chapter 7, Problem 46P
To determine
Find the horizontal deflection at joint C of the frame using virtual work method.
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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 7 Solutions
Structural Analysis (MindTap Course List)
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
Ch. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69P
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