Civil Engineering Reference
In-Depth Information
Fig. 7.8
The joint acceptance function
ˆ
nn
J
at various span length (
L
L
)
=
exp
While the solution strategy based on influence functions shown above is suitable for
many cases of fairly simple structural systems, a formulation within the finite element
method is more suitable for a general approach. Recalling that Eq. 5.8 was developed for
a horizontal type of structure, it is seen from Fig. 7.9 that in general
T
uw
[
]
for a
v
=
T
uv
[
]
horizontal element and
=
v
for a vertical element. Defining the non-dimensional
instantaneous fluctuating wind velocity vector at an arbitrary node
p
()
()
()
ut
vt
⎡ ⎤
⎢ ⎥
1
ˆ
p
v
(7.41)
=
⎢
⎢
⎣ ⎦
V
wt
and the matrix
⎧
⎡ ⎤
⎪ ⎢ ⎥
⎪⎣ ⎦
100
for a horisontal element
001
ψ
=
(7.42)
⎨
m
100
for a vertical element
010
⎡
⎤
⎪
⎢
⎥
⎪
⎣
⎦
⎩
