Obtain the stiffness matrix of the two degree of freedom system shown below.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Obtain the stiffness matrix of the two degree of freedom system shown below.

5. Obtain the stiffness matrix of the two degree of freedom system shown below. (
k
m
k/2
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k
k
m
k
Transcribed Image Text:5. Obtain the stiffness matrix of the two degree of freedom system shown below. ( k m k/2 wwwwww k k m k
Expert Solution
Step 1

This is a basic problem of the Finite Element Method.

The steps are as follows:-

  1.  Discretizing the node into three elements
  2. Calculating the stiffness matrix for each and every element.
  3. Finally, superimposing everything to get the required matrix 

The formula involved here is:- K1-1-11

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