Civil Engineering Reference
In-Depth Information
1
2
-8
2
1
20
-8
1
-8
2
-8
2
1
Figure 3.12.
Example 3.19 Plate bending.
deflections at points 1 through 6 are zero and may be eliminated. The
matrix equation is shown in Table 3.17.
The solution can be found using one of the methods from Chapter 2
on non-homogeneous linear algebraic equations. The deflections are
shown in Table 3.18.
All of the other values can be found once the deflections are known.
Table 3.19 shows the matrix equation for finding
M
x
and Table 3.20 shows
the solution to
M
x
and the normal stress.
n
MD
z
dx
d
2
n
d
2
z
=
1
121
(
)
x
=−
+
−
+
n
1
2
2
2
dy
h
n
15
11
6
11
15
18
20
21
14
10
5
10
14
17
19
20
13
9
4
9
13
16
17
18
12
8
31
8
12
13
14
15
8
72
28
72
8
9
10
11
31
28
10
28
31 456
72
28
72
8
9
10
11
12
8
31
8
12
13
14
15
Figure 3.13.
Example 3.19 Plate bending.
