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Chapter 5
5.1 Eq. (5.3):
****
2
1sqsqu FBNFqNq
.40;6.0
5.1
m 9.0
B
H
Figures 5.4 and 5.5:
200 ;380 **
NNq
kN 9209
kN 6.9208
5.2
.35;4.0
5.1
6.0
B
H
100 ;340 **
NNq
Eqs. (5.4) and (5.5) and Figure 5.6:
kN 2075.6
5.3 Eq. (5.6):
** 4.0
BNqNqqu
.1
75.1
75.1
;30 B
H
kN 997
)75.175.1)(55.325()(
allall
LBqQ
5.4 Eq. (5.10):
707.0
7.0
5.1
5.0
14.5
707.05.0
114.5 qc
H
B
quu
39
© 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.
2
lb/ft 4279 )65.1)(121(
3
)65.1)(975)(2(
)14.5)(585(
u
q
CHECK Eq. (5.33):
2
1)1( lb/ft 39.735)65.1)(121()14.5)(1000(2.01
fcutu DNc
L
B
qq
So, qu = 4279 lb/ft2.
2
lb/ft 1426 3
4279
FS
all u
q
q
5.6
597.0
72
43
;754.0
22.1
92.0
)1(
)2(
u
u
c
c
L
B
2
ac
c
Chapter 5
5.7 Eq. (5.11):
qFFNcq cdcscuu )1(
5.8 Eq. (5.29):
FBNFNHDq
sqsqfu
)2()2(2)2()2(1
2
1
)(
Chapter 5
41
© 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.
.40
1
N(1) = 109.41 (Table 4.2).
256.0
)4.109)(18(
)22.30)(7.16(
1
2
q
q
Figure 5.10:
5 ;256.0 ;40
1
2
1s
K
q
q
2
2
kN/m 2306.9188.402)1.2271695(
)1)(18(
5.1
40tan5
1
)5.1)(2(
1
5.1
5.1
1)1)(18(
)6.0)(22.30)(5.1)(7.16)(5.0()625.1)(18.23)(15.1)(18(
u
q
CHECK Eq. (5.30):
)1()1(1)1()1(1 2
1sqsqft FBNFNDq
.40
1
Table 4.2: Nq(1) = 64.2; N(1) = 109.41
6.0
5.1
5.1
4.014.01
839.1)40(tan
5.1
5.1
1tan1
)1(
1)1(
L
B
F
L
B
F
s
qs
2
kN/m 9.40732.8867.3187
4.0)(41.109)(5.1)(18(
2
1
)839.1)(2.64)(5.1)(18(
t
q
So, qu = 2306.9 kN/m2
qu(net) = 2306.9 – (1.5 18) 2280 kN/m2
kN 1282.5 4
)5.1)(2280(
FS
2
2
)net(
all(net)
Bq
Qu
5.9
0
1
c
. Eq. (5.36):
)1()1(1)1()1(1 2
1sqsqft FBNFNDq
Chapter 5
42
© 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.
Table 4.2: For
30
1
, Nq(1) = 18.4; N(1) = 22.4
Table 4.3:
733.0
6
4
4.014.01
385.1)30(tan
6
4
1tan1
)1(
1)1(
L
B
F
L
B
F
s
qs
22 kip/ft 10.7lb/ft 10,711.52.32183.7492
)733.0)(4.22)(4)(98(
2
1
)385.1)(4.18)(3)(98(
t
q
Eq. (5.37):
)2()2(2)2()2(2 2
1sqsqfb FBNFNDq
Table 4.2:
38
2
; Nq(2) = 48.93; N(2) = 78.03
Table 4.3:
733.0
6
4
4.01
52.1)38(tan
6
4
1
)2(
)2(
s
qs
F
F
22 kip/ft 47.63lb/ft 36,467.2
)733.0)(03.78)(4)(108(
2
1
)521.1)(93.48)(3)(108(
b
q
Eq. (5.35):
2
)(
D
H
qqqq tbtu
D B (top—loose sand)
2
2kip/ft 17.14
4
2
)7.1047.36(7.10
u
q
kip 102.84 4
)6)(4)(14.17(
FS
all BLq
Qu
Chapter 5
44
5.12 Eq. (5.40):
BNqNqqqu 2
1
= 35. Table 4.1: Nq = 41.44; N = 45.41.
67.1
2.1
2
B
x
.
5.13 From Eq. (5.38):
)(
2
)(2)()2( 2TTqfTcuu N
B
NDNcq
5.14 a. B = 1 m; H = 4 m. Since B < H, Ns = 0.
.0.1
1
1
B
Df
Chapter 5
b.
b (m)
B (m)
b/B
Ncq
[Figure 5.21]
qu = cu Ncq
(kN/m2)
0
1
2
3
4
5
6
1
1
1
1
1
1
1
0
1
2
3
4
5
6
4.2
5.5
6.5
7.0
7.0
7.0
7.0
285.6
374
442
476
476
476
476
Note: Df /B = 1
5.15 Eq. (5.42):
qu NBq
2
1
.135 of value the,30 and
40 ,5.1 and 1for 5.20 Figure From.5.1
4
6
;1
4
4
q
ff
N
B
b
B
D
B
b
B
D
2
lb/ft 29,700 )135)(4)(110)(5.0(5.0 qu NBq
5.16 Eq. (3.52):
o
c
q
log38.01.0tan 1
Depth (m)
qc (MN/m2)
o
(MN/m2)
(deg) [Eq. (3.52)]
2
4
6
8
10
15
1.73
3.6
4.9
6.8
8.7
13
0.033
0.066
0.099
0.132
0.165
0.248
37
37.2
36.6
36.9
37
37
Average 37
From Figure 5.28, for = 37, Nq 43; Nγ 60
2.0
01
2.0
1
tan
v
h
k
k
Chapter 5
46
© 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.
From Figure 5.29, for
tan
= 0.2 and = 37,
58.0 and 39.0
q
qEE
N
N
N
N
NγE = (0.39)(60) = 23.4; NqE = (0.58)(43) = 24.9
Eq. (5.48):
2
kN/m 700.5 )4.23)(5.1)(5.16(
2
1
)24)(15.16(
2
1EqEuE NBNqq
5.17
67.0
5.1
1
B
Df
. For = 37, FS = 4. Using Figure 5.30 and interpolating,
*
*
5.18
5 :5.5 Table .35 ;25.1
4
5
cr
B
D
B
Dff
Chapter 5
47
5.19
67.1
2.1
2
B
Df
Chapter 5
48
