Civil Engineering Reference
In-Depth Information
v
1
=
1
v
1
=
1
6
EI
1
L
6
EI
2
L
3
2
2
12
EI
1
L
12
EI
2
L
3
3
2
1
Figure 1.6
Displacement pattern using unit displacement at
v
1
.
2
EI
3
L
4
EI
1
L
θ
2
=1
3
4
EI
3
L
6
EI
1
L
2
2
1
Figure 1.7
Displacement pattern using unit displacement at
θ
2
.
4
EI
3
L
2
EI
3
L
4
EI
2
L
θ
3
=1
3
6
EI
2
L
2
2
1
Figure 1.8
Displacement pattern using unit displacement at
θ
3
.
Based on Eqs. (1.23), (1.24), and (1.25), the global stiffness matrix is therefore con-
structed as:
2
4
3
5
v
1
12
EI
1
=
L
3
+12
EI
2
=
L
3
6
EI
1
=
L
2
6
EI
2
=
L
2
6
EI
1
=
L
2
K
=
4
EI
1
=
L
+4
EI
3
=
L
2
EI
3
=
L
θ
2
θ
3
ð1
:
26Þ
6
EI
2
=
L
2
2
EI
3
=
L
4
EI
2
=
L
+4
EI
3
=
L
