Civil Engineering Reference
In-Depth Information
Table 26.5
Posterior statistics of the parameters in the shear demand model
Correlation coeffi cient
Standard
deviation
Parameter
Mean
θ
θ
θ
θ
θ
θ
σ
v
1
v
2
v
3
v
4
v
5
v
6
v
θ
−
4.57
0.508
1.0
v
1
θ
v
2
−
0.849
0.097
0.60
1.0
θ
v
3
−
0.300
0.056
0.66
0.03
1.0
θ
v
4
−
0.007
0.062
−
0.14
−
0.27
−
0.36
1.0
θ
v
5
−
0.066
0.080
−
0.15
−
0.39
0.06
0.41
1.0
θ
v
6
0.137
0.064
0.02
−
0.38
0.18
−
0.44
−
0.26
1.0
σ
v
0.417
0.036
0.06
0.02
−
0.06
0.09
0.02
0.05
1.0
0.10
0.10
0.08
0.08
0.06
0.06
0.04
0.04
0.02
0.02
0
0
0
0.02
0.04
Measured,
v
(a)
0.06
0.08
0.10
0
0.02
0.04
Measured,
v
(b)
0.06
0.08
0.10
26.4
Comparison between measured and predicted shear demands
based on (a) deterministic and (b) probabilistic models.
Moment demand model
The probabilistic moment demand model is formulated as the natural loga-
rithm of the moment demand at the tower base normalized by
M
ˆ
y
ˆ
y
S
,
=
where
S
elastic section modulus at tower base. The model selection leads
to the following model form:
=
S
H
K
⎛
⎜
⎞
⎟
+
⎛
⎜
⎞
⎟
ˆ
ˆ
(
)
=
(
)
++
(
)
+
a
t
D
xw
,,
q
d
xw
,
θθ
d
xw
,
θ
ln
θ
ln
m
m
m
m
1
m
2
m
m
3
m
4
K
H
f
PGV T
H
⋅
⎛
⎜
⎞
⎟
+
n
+
θ
5
ln
σ ε
m
m
m
H
[26.11]
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