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Hint:
p
z
=
p
0
r
/
b
p
0
=
p
c
m
=
p
s
m
=
Answer:
p
0
r
/
b,
0
for
m
>
0
For simply supported edge:
1
90
p
0
bK
4
+
ν
1
225
(
b
2
r
2
r
3
b
5
r
5
w
=
+
ν
(
−
)
−
−
)
1
For fixed edge:
2
r
5
b
3
b
4
p
0
450
K
5
b
2
r
2
w
=
−
+
FIGURE P13.22
13.23 Find the deflection of the plate of Fig. P13.23 with a symmetrical line moment
M
1
applied to the inner rim.
Answer:
b
2
a
2
a
2
r
2
b
2
M
1
K
ln
r
(
−
)
w
=
b
+
(
1
−
ν)(
b
2
−
a
2
)
2
(
1
+
ν)(
b
2
−
a
2
)
FIGURE P13.23
13.24 Derive expressions for the deflection, slope, shear force, and moment for the plate
with the symmetrical loading of Fig. P13.24.
FIGURE P13.24
13.25 Determine the distribution of deflection and moment in the plate with the symmet-
rical line loads of Fig. 13.25.
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