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FIGURE 13.15
A symmetrically loaded plate element with a center hole.
V
=−
p
z
r
/
2
(5)
p
z
r
2
(
3
+
ν)
p
z
16
[
b
2
r
2
m
=
m
0
−
=
(
1
+
ν)
−
(
3
+
ν)
]
16
EXAMPLE 13.6 Plate Element with Center Hole
Consider a symmetrically loaded plate element with a center hole as shown in Fi
g.
13.15a.
Begin with Eqs. (2) and (3) of Example 13.4. For the moment assume that
p
z
is not
constant in the radial direction and make the appropriate adjustments in Eqs. (2) and (3).
Evaluate
w
θ
=
=
...
.
,
,
V
and
m
at
r
a
and solve for the integration constants
C
i
,i
1
,
,
4
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