1) 10 k 10 k 10 k А В C D| E F 4' 8' 4' 2' 12'

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Determine the Reactions of each beam. Show the Distributed Load Resultant magnitude and location on the loading diagram.

1)
10 k
10 k
10 k
А
В
C
D| E
F
4'
8'
4'
2'
12'
Transcribed Image Text:1) 10 k 10 k 10 k А В C D| E F 4' 8' 4' 2' 12'
Expert Solution
Step 1: U.D.L acts as the centroid of the loading in resultant force;

U.D.L acts as the centroid of the loading in resultant force.

Civil Engineering homework question answer, step 1, image 1

Take moments about internal Hinge D.

MD=0=>VF×12-10×2=0=>VF=1.67 kFy=0=> VA+VF=10+10+10=> VA+1.67=30=> VA=20.33 kMA=0=> 1.67×30-10×18-10×12-10×4+MA=0=> MA=289.9 k.ft

 

 

Step 2: Resultant of U.D.L;

(2) Resultant of U.D.L = 5×4=20 KN acting at the center of U.D.L, (at 42=2 m from H)

as shown below;

Civil Engineering homework question answer, step 2, image 1

MB=0  =>VA×2=0VA=0MH=0=>-10×8-10×5-20×2+Vu×4=0=> Vu=42.5 KNFy=0=>VA+Vu+VH=10+10+20=> VH=-2.5 kN

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