Environmental Engineering Reference
In-Depth Information
aCknoWleDgMent
The work described in this chapter was supported by a grant from National Natural Science
Foundation of China (Project Number 51208446). The financial supports are gratefully
acknowledged.
lISt oF SYMbolS
β
T
Target reliability index
ββ
T
ULS
,
SLS
Target reliability indices for ULS and SLS
T
δ
Friction angle at the soil-shaft interface
ϕ
Fill
, γ
Fill
Friction angle and unit weight of embankment material
ϕ′
Effective friction angle of soil
Φ()
CDF of the standard Gaussian variable
γ
Total unit weight of soil
γ
con
Concrete unit weight
γ
w
Unit weight of water
μ
Unconditional mean
μ
f
Mean of failure samples
μ
N
, σ
N
Mean and standard deviation of ln(ϕ′ )
σ
Unconditional standard deviation
σ
vm
′
Mean vertical effective stress along the shaft depth
Ω
Sample space of
B
and
D
Ω
i
i
ith subset of sample space of
B
and
D
ζ
γs
, ζ
γd
, ζ
γr
, ζ
qs
, ζ
qd
, ζ
qr
Correction factors for bearing capacity factors
a
,
b
Curve-fitted parameters for the load-displacement model
B
,
D
Diameter and depth of the drilled shaft
B
min
, D
min
Respective minimum possible values for B and D
bin
j
j
th bin
CCDF
Complementary cumulative distribution function
CDF
Cumulative distribution function
CDF
Su
Cumulative distribution function of undrained shear strength
COV
T
Target coefficient of variation of failure probability
COV
φ'
Coefficient of variation of ϕ′
d
B
, d
D
Increment of B and D
D
Till
Depth to the top of the stiff till layer
E
Event
E
m
m
th intermediate event
F
50
Design compression load
FORM
First-order reliability method
FS
Factor of safety
FS
min
Minimum factor of safety
FS
uls
,
FS
sls
Factor of safety for ULS and SLS
G
Performance function
H
0
Null hypothesis
H
A
Alternative hypothesis
K
0
Nominal at-rest horizontal soil stress coefficient
(
K/K
0
)
n
Nominal operative
in situ
horizontal stress coefficient ratio
L
Sample space of x
k
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