Civil Engineering Reference
In-Depth Information
Table 5.3.
Example 5.3 Member stiffness, member 1
K
L
1388.9
0.0
0.0
−
1388.9
0.0
0.0
0.0
40.2
2893.5
0.0
−
40.2
2893.5
0.0
2893.5
277777.8
0.0
−
2893.5
138888.9
−
1388.9
0.0
0.0
1388.9
0.0
0.0
0.0
−
40.2
−
2893.5
0.0
40.2
−
2893.5
0.0
2893.5
138888.9
0.0
277777.8
−
2893.5
a
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
a
T
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
K
G
1388.9
0.0
0.0
−
1388.9
0.0
0.0
0.0
40.2
2893.5
0.0
−
40.2
2893.5
0.0
2893.5
277777.8
0.0
−
2893.5
138888.9
−
1388.9
0.0
0.0
1388.9
0.0
0.0
0.0
−
40.2
−
2893.5
0.0
40.2
−
2893.5
0.0
2893.5
138888.9
0.0
−
2893.5
277777.8
For member 2, we will release the
i-
i-end at joint 1 for rotation. Selecting
the
i
i-end at joint 1 the rotation is 213.7°. Table 5.7 contains the local mem-
ber stiffness matrix, the rotation matrices,
a
and
a
T
, and the global mem-
ber stiffness matrix. The general released stiffness matrix is also shown.
KK
KK
]
=
[
11
13
K
13
31
33
