Civil Engineering Reference
In-Depth Information
6
z(w)
7
y(v)
b
3
2
c
8
1
4
a
x(u)
Figure 2.7
8-node “brick” element
or
{
} =
[
A
]
{
e
}
(2.80)
For example, the 8-noded brick-shaped element shown in Figure 2.7, would have shape
functions of the form,
[
N
]
=
[
N
1
N
2
N
3
N
4
N
5
N
6
N
7
N
8
]
(2.81)
where
1
1
1
x
a
y
b
z
c
N
1
=
−
−
−
1
1
z
c
x
a
y
b
N
2
=
−
−
1
z
c
x
a
y
b
N
3
=
−
1
1
x
a
y
b
z
c
N
4
=
−
−
(2.82)
1
y
b
1
x
a
z
c
N
5
=
−
−
1
y
b
x
a
z
c
N
6
=
−
x
a
y
b
z
c
N
7
=
1
x
a
y
b
z
c
N
8
=
−
The full [
S
] matrix would be of the form,
N
1
00
N
2
00
N
3
00
···
[
S
]
=
0
N
1
00
N
2
00
N
3
0
···
(2.83)
00
N
1
00
N
2
00
N
3
···
