Civil Engineering Reference
In-Depth Information
3
7
4
6
2
2
6
40 in.
4
8
1
5
3
5
1
40 in.
40 in.
Figure 10.19
Eight-element truss of
Example 10.10.
The element-to-global displacement relations are as given in Chapter 3. Using the direct
assembly procedure, the global mass matrix is
12
.
56
0
0
0
2
.
60 3
.
68
0
0
0
0
0
0
.
6000
.
60
.
68
0
0
0
0
0
0
5
.
2000
.
6
0
0
0
0
0
0
0
0
5
.
20 0
0
.
6
0
0
0
0
2
.
6
0
0
0
7
.
80
.
6
0
2
.
6
0
0
0
0
2
.
6 000
.
80
.
6
0
2
.
6
0
0
(10)
−
3
[
M
]
=
3
.
68
0
2
.
60
.
60
.
52
0
3
.
68
0
2
.
60
0
3
.
68
0
2
.
60
.
60
.
52
0
3
.
68
0
2
.
6
0
0
0
0
2
.
60
.
68
0
17
.
76
0
2
.
60
0
0 000
.
60
.
68
0
17
.
76
0
2
.
6
0
0 0000
.
6
0
2
.
6
0
10
.
40
0
0 0000 0
.
6
0
2
.
6
0
10
.
4
Applying the constraint conditions
U
1
=
U
2
=
U
3
=
U
4
=
0,
the mass matrix for the
active degrees of freedom becomes
.
.
.
7
80 2
6
0
2
6
0
0
0
07
.
80 2
.
6
0
2
.
6
0
0
2
.
60 2
.
52
0
3
.
68
0
2
.
60
02
.
60 2
.
52
0
3
.
68
0
2
.
6
(10)
−
3
lb-s
2
/in.
[
M
a
]
=
2
.
60 3
.
68
0
17
.
76
0
2
.
60
0
.
60
.
68
0
17
.
76
0
2
.
6
00
.
6
0
2
.
6
0
10
.
40
00 0
.
6
0
2
.
6
0
10
.
4
