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MEG 443/643
Problem 2.1, Text
2 1 3
k1
1
k2
3
k3
4 2
k1e k1
k1
k1
k1 element 1 is between nodes 1 and 3
k2e k2
k2
k2
k2 element 1 is between nodes 1 and 3
k3e k3
k3
k3
k3 element 1 is between nodes 1 and 3
Expand the matrices
K1
k1
0
k1
0
0
0
0
0
k1
0
k1
0
0
0
0
0
K2
0
0
0
0
0
0
0
0
0
0
k2
k2
0
0
k2
k2
K3
0
0
0
0
0
k3
0
k3
0
0
0
0
0
k3
0
k3
Add matrices
K
k1
0
k1
0
0
0
0
0
k1
0
k1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
k2
k2
0
0
k2
k2
0
0
0
0
0
k3
0
k3
0
0
0
0
0
k3
0
k3
K
k1
0
k1
0
0
k3
0
k3
k1
0
k1 k2
k2
0
k3
k2
k2 k3

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