13
Chapter 3
3.1 Eq. (3.3):
8.96%
100
874.2
874.23
100(%) 2
22
2
22
i
io
RD
DD
A
Chapter 3
16
16
3.8 Eq. (3.29):
2
6060 )(00054.03.01.27 NN
Depth (m)
N60
(deg)
[Eq. (3.29)]
1.5
6
28.88
3.0
8
29.47
4.5
9
29.76
6.0
8
29.47
7.5
13
30.9
9.0
14
31.19
Average = 29.93 30
3.9
Depth (m)
o
(kN/m2)
pa (kN/m2)
N60
Dr (%) [Eq. (3.22)]
1.5
3.0
4.5
6.0
7.5
9.0
27
54
81
108
123.6
139.2
100
100
100
100
100
100
6
8
9
8
13
14
50.6
51.8
49.7
43.2
52.8
52.7
Average Dr = 50.13% 50%
3.10 Eq. (3.13):
60601
5.0
)( ;
1NCN
p
CN
a
o
N
Depth
(m)
o
(kN/m2)
pa
(kN/m2)
N60
CN
601)(08.1 N
5.0
601
60
)(08.1
N
Dr
[Eq. (3.28)]
1.5
3.0
4.5
6.0
7.5
9.0
27
54
81
108
123.6
139.2
100
100
100
100
100
100
6
8
9
8
13
14
1.92
1.36
1.11
0.96
0.9
0.85
12.44
11.75
10.78
8.29
12.64
12.85
45.3
42.3
42.4
37.2
45.9
46.3
Average = 43.23% 43%
Chapter 3
3.11
Depth
(m)
o
(kN/m2)
o
p
(kN/m2)
7.1
50
06.0
23.0
D
N60
Dr (%)
[Eq. (3.23)]
1.5
3.0
4.5
6.0
7.5
9.0
26.4
52.8
79.2
105.6
132.0
158.4
100
100
100
100
100
100
0.133
0.133
0.133
0.133
0.133
0.133
5
11
14
18
16
21
52.9
55.5
51.1
50.2
42.3
44.3
3.12
Depth (ft)
(lb/ft3)
o
(lb/in.2)
pa (lb/in.2)
N60
(deg)a
[Eq. (3.30)]
10
15
20
25
30
35
40
106
106
106
118
118
118
118
7.36
11.04
14.72
18.82
22.92
27.02
31.12
14.7
14.7
14.7
14.7
14.7
14.7
14.7
7
9
11
16
18
20
22
45
34
35
37
36
36
36
a rounded to nearest whole number
Average
364.35)36363637353434(
7
1
3.13 Between depths 20 ft and 30 ft, average
15)181611(
3
1
60 N
.
3.14 Eq. (3.21):
5.0
2
o
Chapter 3
18
18
At a depth of 3.0 m:
At a depth of 4.5 m:
)8.2)(50(
82
)779()2()711(2311)11(22275.02.12(%)
5.0
2
r
D
At a depth of 6.0 m:
)8.2)(50(
98
)779()2()711(2311)12(22275.02.12(%)
5.0
2
r
D
3.15 Eq. (3.34):
K
T
cu
0635.0
0635.0
)0635.0(
6
coscos12
:(3.38) Eq.
2
2
h
i
d
i
dd
K
BT
Chapter 3
19
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
Eqs. (3.39) and (3.40a):
2
kN/m 48.48
)3.51)](2146log(54071[
)3.51)](PIlog(54.07.1[
)VST()(corrected
.–.
cc uu
3.16 Eq. (3.42):
o
)field(
OCR
u
c
3.17 a.
2
2
4
d
h
b. From Eqs. (3.39) and (3.40a):
)1129)](PIlog(54.07.1
)corrected(u
c
3.18 Eq. (3.45):
18.4
)92(0055.008.0
1
)PI(0055.008.0
1
3.19
Depth
(m)
o
(MN/m2)
qc
(MN/m2)
(deg)
1.5
3.0
4.5
6.0
7.5
9.0
0.024
0.048
0.072
0.096
0.120
0.144
2.06
4.23
6.01
8.18
9.97
12.42
42.06
42.15
41.98
42.03
41.93
42.07
(average) 42
3.20 Note: OCR = 1; Qc = 1
Depth (m)
qc (kN/m2)
o
(kN/m2)
Dr (%) [Eq. (3.51)]
1.5
3.0
4.5
6.0
7.5
9.0
2060
4230
6010
8180
9970
12420
24
48
72
96
120
144
37.1
44.7
48.2
52.3
54.6
58.3
3.21 From Eq. (3.55):
58.3)2.0(44.544.5 26.026.0
50
60
D
N
p
q
a
c
Chapter 3
3.22 a. o = (2)(18) + (20)(4) = 116 kN/m2
b.
o
= (2)(18) + (20 – 9.81)(4) = 76.76 kN/m2
01.1
01.1
116800
oc
q
3.23 Eq. (3.61):
46180
4.425.326
2
18046
535)5.01)(2())(1(2 v
p
vVE mosp
3.24 a.
43.2
95
)38)(81.9(280
o
oo
Dup
K
3.25
2.3
)81.98.19)(4()5.14)(2(
)81.9)(4(260
o
oo
Dup
K
)2.3)(066.0(236.0
066.0236.0
D
Chapter 3
22
22
3.26 Eq. (3.79):
;
)1)(21(
1
ss
ss
g
E
v
s = 0.32
3.27 A time-distance plot is shown.
Chapter 3
23
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
m 2.6
)5.7(
4921390
4921390
2
1
2
1
12
12
1c
x
vv
vv
Z
Eq. (3.81):
s 1020 ;
))((
2
2
13
2
2
2
2
3
23
13
2
1
2
31
22
ii T
vv
vv
vv
vvZ
TZ
0105.0
)492)(3390(
)492()3390()6.2)(2(
))((
222
13
2
1
2
31
vv
vvZ
1524
)1390()3390(
)1390)(3390(
222
2
2
3
23
vv
vv
So,
m 7.24 )1524)(0105.002.0(
2
1
2
Z
Chapter 3
24
24