Fundamentals of Structural Analysis
5th Edition
ISBN: 9780073398006
Author: Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher: McGraw-Hill Education
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Chapter 12, Problem 51P
(a)
To determine
Draw the influence lines for for the moment and the vertical reaction
Evaluate the ordinates at the quarter points of the span.
(b)
To determine
Draw the influence line for moment at point B using the influence lines for reaction at A and moment at A.
Find the maximum value of
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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
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
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
A
B
3
4
=
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 + b₁×₁ ; 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.
a2+
Chapter 12 Solutions
Fundamentals of Structural Analysis
Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10P
Ch. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 43PCh. 12 - Prob. 44PCh. 12 - Prob. 45PCh. 12 - Prob. 46PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 57PCh. 12 - Prob. 58P
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