Civil Engineering Reference
In-Depth Information
(d)
Miscellaneous factors.
(f)
Check on wedge geometry.
1
⎨
⎩
r
2
R
=
−
(III.35)
No wedge
if
pi
z
<
0, or
(
III.48
)
is formed,
terminate
computation
1
R
2
·
nq
if
nqi
z
<
0
(
III.49
)
=
(III.36)
|
nq
|
1
R
2
·
mq
µ
=
(III.37)
⎨
⎩
|
mq
|
if
ηq
5
i
z
<
0, or
(
III.50
)
Tension
1
R
·
p
|
p
|
if
h
5
<
0, or
(
III.51
)
crack
invalid,
terminate
computation
υ
=
(III.38)
if
>
1, or
m
5
h
5
mh
|
|
(
III.52
)
if
>
1
g
x
+
g
y
+
g
z
G
=
(III.39)
nq
5
m
5
h
5
|
n
5
qmh
|
(
III.53
)
g
5
x
+
g
5
y
+
g
5
z
G
5
=
(III.40)
(g)
Areas of faces and weight of wedge.
m
2
R
2
)
1
/
2
(Gp
2
M
=
−
2
mpλ
+
(III.41)
|
mq
|
h
2
|
h
5
|−|
m
5
q
5
A
1
=
(III.54)
(G
5
p
2
m
5
R
2
)
1
/
2
(III.42)
M
5
=
−
2
m
5
pλ
5
+
2
|
p
|
|
q
|
m
2
h
2
/
|
n
|−|
q
5
|
|
m
5
h
5
/
|
n
5
A
2
=
(III.55)
H
1
|
|
2
p
|
h
=
(III.43)
g
z
|
|
h
5
|
m
5
q
5
−|
|
A
5
=
(III.56)
Mh
p
L
2
|
n
5
|
h
5
=
(III.44)
M
5
γ
q
2
m
2
h
3
/
q
5
m
5
h
5
/
|
n
|−
|
n
5
|
W
=
(III.57)
6
|
p
|
tan
2
φ
1
+
tan
2
φ
2
−
B
=[
2
(µr/ρ)
/R
2
×
tan
φ
1
tan
φ
2
]
(III.45)
(h)
Water pressure.
(i)
With no tension crack
(e)
Plunge and trend of line respectively of
line of intersection of planes 1 and 2:
γ
w
h
|
m
5
|
u
1
=
u
2
=
(III.58)
6
|
p
|
ψ
i
=
arcsin
(νi
z
)
(III.46)
arctan
−
(ii)
With tension crack
νi
x
α
i
=
(III.47)
−
νi
y
γ
w
h
5
|
m
5
|
3
d
z
u
1
=
u
2
=
u
5
=
(III.59)
The term
ν
should not be cancelled out
in equation (III.47) since this is required
to determine the correct quadrant when
calculating values for dip direction,
α
i
.
−
=
u
5
A
5
η
ε
|
V
(III.60)
ε
|
