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Link T A B Link 2 Link 3 D Destination Link 4 C

Link T A B Link 2 Link 3 D Destination Link 4 C

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Link 1 A B Link 2 Link 3 D Destination Link 4 C
Transcribed Image Text:Link 1 A B Link 2 Link 3 D Destination Link 4 C
Consider the network shown in Figure 1. The demand between nodes A and B is 160 vph whereas the demand between A and C is 80 vph. The link travel time functions are: Link 1: T, = 10+5v, Link 2: T, = 30+2v, %3D Link 3: T, = 30+2v3 Link 4: T, = 5+ 2v, %3D Determine the UE solution by equating path travel times.
Transcribed Image Text:Consider the network shown in Figure 1. The demand between nodes A and B is 160 vph whereas the demand between A and C is 80 vph. The link travel time functions are: Link 1: T, = 10+5v, Link 2: T, = 30+2v, %3D Link 3: T, = 30+2v3 Link 4: T, = 5+ 2v, %3D Determine the UE solution by equating path travel times.
Expert Solution
Step 1

Solution

Given data

The demand between A and B= 160 vph

The demand between A and C= 80 Vph

Step 2

Calculation

From reaching A to B two path follows

A→B

A→D→B

So

link1= link 2 + link 3

T1=T2+T3

(10+5V1) = (30+ 2V2 )+ (30+ 2V3)

5V1=50+2V2+ 2V3

V1=10+0.4V2+0.4V3),,,,,,,,,,,,,,,,,,(1)

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