Suppose that the stiffness matrices of the above question (as shown below) are as follows: b -b a -a K1 =10* × K2 =108 x —а a -b b 0.1 m 0.05 m 0.5 m 0.5 m

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Suppose that the stiffness matrices of the above question (as shown below) are as
follows:
b -b
a
a
K1 =108 x
K2 =108 x
-b
-a
a
b
0.1 m
0.05 m
0.5 m
0.5 m
where a= 1.8 N/m and b=2.9 N/m. Find the assembled stiffness matrix of the system
using the following connectivity table.
Element Node i Node j
(1)
2
(2)
2
What is the summation of all terms located on the main diagonal of the assembled
[a bc]
stiffness matrix? (Hint: if the assembled stiffness matrix is
b de
then you
e f
need to find the value of a + d+ f).
Your Answer:
Answer
The shape function value
) is zero at the centre of the element.
O is always higher than 1.
O is equal 1 at its own node and zero at other nodes.
O is always less than 1.
Transcribed Image Text:Suppose that the stiffness matrices of the above question (as shown below) are as follows: b -b a a K1 =108 x K2 =108 x -b -a a b 0.1 m 0.05 m 0.5 m 0.5 m where a= 1.8 N/m and b=2.9 N/m. Find the assembled stiffness matrix of the system using the following connectivity table. Element Node i Node j (1) 2 (2) 2 What is the summation of all terms located on the main diagonal of the assembled [a bc] stiffness matrix? (Hint: if the assembled stiffness matrix is b de then you e f need to find the value of a + d+ f). Your Answer: Answer The shape function value ) is zero at the centre of the element. O is always higher than 1. O is equal 1 at its own node and zero at other nodes. O is always less than 1.
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