Civil Engineering Reference
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Table 2.2. Example 2.5 Cofactor method
1
1
1
1
10
A
=
8
4
2
1
C
=
26
-1
1
-1
1
2
3
2
1
0
10
4
2
1
8
2
1
8
4
1
8
4
2
A
=
1
1
1
1
1
+
1
1
1
1
1
−1
−
−1
−1
−1
−
−1
−1
2
1
0
3
1
0
3
2
0
3
2
1
A
=
3
+
0
+
−9
+
−6
A
=
− 12
4
2
1
8
2
1
8
4
1
8
4
2
(−1) 1+1
(−1) 1+2
(−1) 1+3
(−1) 1+4
c 11 =
1
-1
1
c 12 =
1
c 13 =
1
1
c 14 =
1 −1
−1
−1
−1
−1
2
1
0
3
1
0
3
2
0
3
2
1
c 11 = 3
c 12 = 0
c 13 = −9
c 14 = −6
1
1
1
1
1
1
1
1
1
1
1
1
(−1) 2+1
(−1) 2+2
(−1) 2+3
(−1) 2+4
c 21 =
1
1
c 22 =
1
c 23 =
1
1
c 24 =
1 −1
−1
−1
−1
−1
−1
2
1
0
3
1
0
3
2
0
3
2
1
c 22 = 4
c 23 = 4
c 21 = −4
c 24 = −4
1
1
1
1
1
1
1
1
1
1
1
1
(−1) 3+1
(−1) 3+2
(−1) 3+3
(−1) 3+4
c 31 =
4
2
1
c 32 =
8
2
1
c 33 =
8
4
1
c 34 =
8
4
2
2
1
0
3
1
0
3
2
0
3
2
1
c 31 = 1
c 33 = 5
c 32 = −4
c 34 = −2
1
1
1
(−1) 4+1
1
1
1
(−1) 4+2
1
1
1
(−1) 4+3
1
1
1
(−1) 4+4
c 41 =
4
2
1
c 42 =
8
2
1
c 43 =
8
4
1
c 44 =
8
4
2
1
1
1
1
1
-1
1
-1
−1
−1
−1
−1
c 41 = 6
c 44 = 12
c 42 = −12
c 43 = −6
3
0
3
1
6
−9
−6
−4
C
=
4
4
C T
=
0
4
−4
−4
−4
−12
1
5
4
5
−4
−2
−9
−6
6
−12
−6
12
−6
−4
−2
12
0.3333
1
−0.2500
−0.0833
−0.5000
=
0.0000
0.3333
1.0000
x
=
2
A− 1
−0.3333
0.7500
−0.3333
−0.4167
0.5000
3
0.5000
0.3333
0.1667
-1.0000
4
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