Civil Engineering Reference
In-Depth Information
The value
D
is the flexural rigidity of the plate and is equal to the following:
Et
3
D
=
(
)
12 1
n
−
2
The value of Poisson's ratio,
u
, relates the elastic modulus to the shear
modulus and is given as the following from strength of materials:
E
G
=
(
)
21
n
+
Example 3.14
Partial difference operator
n
n
n
n
d
2
z
n
d
2
z
1
121
1
1
121
+
(
)
(
)
+
=
−
−
2
=
−+
n
1
2
2
2
2
2
dx
dy
h
h
h
n
n
MD
z
dx
d
2
n
d
2
z
=
1
121
(
)
x
=−
+
−
+
n
1
(3.13)
2
2
2
dy
h
n
Example 3.15
Partial difference operator
1
2
1
1
21
1
2
2
n
d
z
d
z
1
1
1
+
(
)
(
)
+= −
n
2
n n
−
=
n
−+
n
n
dx
2
dy
2
h
2
h
2
h
2
1
21
1
2
2
=
MD
z
dx
d
d
z
1
(
)
y
=−
+
n
−
+
n
n
(3.14)
2
dy
2
h
2
Example 3.16
Partial difference operator
1
0
1
−
10 1
d
2
z
dxdy
1
2
1
2
1
4
(
)
=
−
101
*
=
0000
10 −
h
h
h
2
−
