Fundamentals of Structural Analysis
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 RA at support A of the beam.

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 RA produced by the set of wheel loads.

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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
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