bläi 4 For a beam, as shown in the below figure, the deflection at the free end are 8 kN 6kN/m A_c! ! D B E 1 m 4 m 3 m |1m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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bläi 4
For a beam, as shown in the below
figure, the deflection at the free end
are
8 kN
6kN/m
A_c! !
D
B
E
1 m
4 m
3 m
|1m
Transcribed Image Text:bläi 4 For a beam, as shown in the below figure, the deflection at the free end are 8 kN 6kN/m A_c! ! D B E 1 m 4 m 3 m |1m
Expert Solution
Step 1

A free-body diagram of the above beam is given as,

Mechanical Engineering homework question answer, step 1, image 1

On using force equilibrium in a vertical direction,

Mechanical Engineering homework question answer, step 1, image 2

On using moment equilibrium about A,

Mechanical Engineering homework question answer, step 1, image 3

From expression (1),

Mechanical Engineering homework question answer, step 1, image 4

 

Step 2

From above diagram, Moment about x-x section is written as,

Mechanical Engineering homework question answer, step 2, image 1

The moment is also written as,

Mechanical Engineering homework question answer, step 2, image 2

From expressions (1) and (2),

Mechanical Engineering homework question answer, step 2, image 3

 

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