土质学与土力学 第四版 袁聚云 课后答案[13-7章].khda

2
sat
s e w 2.6 10 0.8 10 18.8 kN / m3
1e
1 0.8
Icr
sat 1 18.8 1 0.88
w
10
h Icr L 0.88 0.4 0.352 m
l=4.0m
e 0.800 1
h
4-2
4-38
l=10m
M=2800kN*m
b=4m N=4000kN
e M 2800 0.7 b 4 0.667
a GHAB 0.2179
GHDF l 12 4 z 6 2
b3
b3
4-9
a GHDF 0.135
GIBE l 8 4 z 6 3
b2
b2
4-9
a GIBE 0.093
GICF l 3 1.5 z 6 3
b2
b2
4-9
a GIBE 0.061
z
z GHAB
z GHDF
z GIBE
z GICF
a GHAB
a GHDF
a GIBE
a GICF
p
0.2179 0.135 0.093 0.0.061 100
5.09 kPa
4-5
4-41
Байду номын сангаас
( ) 16.5kN / m3
sat 18.8kN / m3 sat 17.3kN / m3
1
u
2
3m
u
1
u 0kPa
h1 16.5 1.5 24.75kPa u 24.75 0 24.75kPa
1
2.5m
c1 18 1 19.1 10 1.5 31.7kPa
2
5.15m
c2 18 1 19.1 10 3 18.2 10 1.15 54.7kPa
4
zi
1
l 2 1.6 z 1.5 1.2
b 1.25
b 1.25
4-9 a 0.1760
z1 4 a p0 4 0.1760 94 66.2kPa
- 41 0
0 20
7-1
7-27
EA
K a1
tan2 45
30 2
0.333
sat w 20 10 10 kN / m3
Ka2
tan2 45
35 2
0.271
A
paA 2c1 Ka1
2 10 0.333
-11.54
11.54kPa
B
p aB
1h1Ka1 2c1 Ka1
18 3 0.333 2 10 0.333
a
b
u
c
2
u 0kPa h1 16.5 1.5 24.75kPa u 24.75 0 24.75kPa
u whw 10 1.5 15kPa h1 h2 24.75 18.8 1.5 52.95kPa u 52.95 15 37.95kPa
u 0kPa 52.95kPa u 52.95 0 52.95kPa
u 0kPa 52.95 h sat3 3 52.95 17.3 3 104.85kPa u 104.85 0 104.85kPa
u whw 10 9 90kPa 104.85kPa u 104.85 90 14.85kPa
u whw 10 12 120kPa 104.85 h sat4 4 104.85 18.8 3 161.25kPa u 161.25 120 41.25kPa
0.456
5-12 Ut 0.733
73.3%
p0H ap0H 0.25 10 2 180 10 1 800 20cm
Es 1 e
1 0.8
73.3% 20=14.66cm
2 5-57
Ut
t
Tv
4
2
ln
2 1 Ut 8
4 3.142 1 0.5
3.142 ln
8
0.196
t Tvh2 Cv
0.196 800 / 2 2 1.46 105
0
0
18
94
1
1 27.22 80.84
2
2 36.44 52.64
3
3 45.66 33.24
4
4 53.86 22.26
5
5 62.06 15.04
6
6 70.26 11.13
Hi (m)
p1i
(kPa)
pi
(kPa)
p2i
(kPa)
e1i
1 22.61 87.42 110.03 0.918 1 31.83 66.74 98.95 0.908 1 41.05 42.94 83.99 0.899 1 49.76 27.75 77.51 0.926 1 57.96 18.65 76.61 0.920 1 66.16 13.09 79.25 0.914
2
17.3 27.1 15.6 10.4 0.73 0.42 0.39
3
19.0 27.1 14.5 31 0.87 0.47 0.97 10 0.19 0.145
4
18.8 26.5 14.1 33 0.88 0.47 1.00 86.2 1.62 1.22
1-3
1-2
4
1-18
GBJ7-89
1-3
e2i
0.850 0.856 0.866 0.906 0.907 0.905
si
(mm)
35.5 27.3 17.4 10.4 6.8 4.7
5-4
5-3
1
p0
2
p0 94kPa Zn
Zn
Zn
5-32
b 2.5 0.4 ln b 0.25 2.5 0.4 ln 0.25
5.3m
Zn
3m
2.3m
3
ci
5-3
5-35
4m 2.5m
1m
5-13
1
1m 2
0.4b=0.4 2.5=1m 3m
0.1m
c
s
w
sat
s1
w
sat
w
s
w
s1
s 10ds 10 2.72 27.2kN / m3
s w 19.1 27.2 10 9.22kN / m3
s1
27.2 1 0.31
ds
4
s 10ds 10 2.71 27.1kN / m3
1-1
1
s
d 1e
2 Sr
ws1 n wn
1d
dg
ms g V
sVs g V
2 n Vv
e
en
V 1e
1n
sVs
s
V 1e
Sr
Vw Vv
ws w e
ws w n
1n
ws1 n wn
1-2
1-17
1-2
1-17
s
d
e
n
Sr
(kN/m3) (kN/m3) (kN/m3)
%
cm3
1
18.5 26.5 13.8 34 0.92 0.48 0.98
paC pwC 20.054 20 40.054kPa
1h0 Ka1 2c1 Ka1 0 h0
2c1 1.925 1 Ka1
1
EA
1 6.45 2
3 1.925
14.63 2 1 2
40.05 14.63
2 58.147kPa
3.467 C
2 3 1.925 29.26 1 25.42 2
3
3
58.147
s ss 1.1 99.8 109.78mm
5-6
5-37
8m
a=0.25MPa-1
p=180kPa
1
k=6.3 10-8cm/s 2
50%
e0=0.8
1 0
p1 1 p2
k1 e
Cv
aw
6.3 10 8 1 0.8 0.25 10 2 9.8 10 3
4.63 10 3 cm2 s
1.46 105 cm2
2.43MPa
p1 c2 54.7kPa p2 c2 z2 54.7 21.2 75.9kPa
e1 0.922 e2 0.907
Es 2
1 e1
e1 e2
pi
1 0.922 21.2 10 3 0.922 0.907
2.72MPa
6
i
5-6
z0
0m
l 2 1.6 b 1.25
z0 b
00 1.25
0 4 0.2500 1.0000
2
l 2 1.6 z 4.15 3.32
b 1.25
b 1.25
4-9 a 0.0563
z2 4 a p0 4 0.0563 94 21.2kPa
5
Esi
p1 c1 31.7kPa p2 c1 z1 31.7 66.2 97.9kPa
e1 0.908 e2 0.856
Es1
1 e1
e1 e2
pi
1 0.908 66.2 10 3 0.908 0.856
0.22 =80.3
50%
80.3
6-3
c=20kPa
26o
1 450kPa 3 150kPa
3 150kPa
6-6b
3 f 1 tan2 45 2 2c tan 45 2
450 tan2 45 26 2 20 tan 45 26
2
2
150.5 kPa
3f
3
f c tan
c=20
tan26 =0.4877 20 0.4877=41
N 4000
66
pmin 0
eb 6
pmax
MN
be K
N
2
3
K 3b e 2
N
1 2
Kpmax
l
2N
2N
pmax
Kl 3 b e l
2
N
2 4000 3 4 0.7 10
2
205.13 kN
4-3
4-39
ABCD
p=100kPa
G
6m M
z
GHAB l 12 1.5 z 6 0.75
b8
b8
4-9
s w 18.2 27.1 10 8.20kN / m3
s1
27.1 1 0.40
0
c0 h 18 1 18kPa
1
c1 18 9.22 1 27.22kPa
2
c2 27.22 9.22 1 36.44kPa
3
c2 36.44 9.22 1 45.66kPa
4
c4 45.66 8.20 1 53.86kPa
6m
6
0-1
p1i 22.61kPa
e2i 0.850
si
e1i 1
e2i e1i
Hi
0.918 0.850 1000 35.5mm 1 0.918
1 7
e1i 0.918 p2i 110.03kPa
n
s
si 35.5 27.3 17.4 10.4 6.8 4.7 102.1mm
i1
Zi
c
z
(m) (kPa) (kPa)
1-18
wL
wP
IP
IL
1
32
17
15
1.07
2
38
20
18
0.72
3
38
20
18
0.72
4
33
18
15
1
3-1 32.2cm2
1.2 cm2
h1=320.5cm
h2=290.3cm
10
k10
2
1
k25
al ln h1 Ft h2
1.2 10 4 4 10 2 320.5 10 2 ln
32.2 10 4 3600 290.3 10 2
a
0.25 MPa
0.25 106 Pa
0.25 106 N / m2
0.25 102 N / cm2
0.25 10 2 N / cm2 1
w 9.8kN / m3 9.8 103 N / m3 9.8 10 3 N / cm3
1s
1
3.176 10 8
365 24 60 60
H
Tv
Cvt H2
1.46 105 0.5 800 2 2
4.1 10 8 m / s
T=25
l=4.0cm t1 1
25
3-3
25 0.707 0.671 0.689
10
2
k10
k 25 25
10
4.1 10 8 0.689
2.82 10 8 m / s
2
3-2 k 5 10 8
3-2
1
GD
3-22 25cm2
H
wI
wL
2
10 0.2 0.4
s 2.6g / cm3 5 kN / m3
z1 3m
l 2 1.6 b 1.25
z1 b
3 2.4 1.25
1 4 0.1757 0.7028
z2 5.3m
l 2 1.6 b 1.25
z2 b
5.3 4.24 1.25
2 4 0.1243 0.4972
7
si s
5-29
s1
p0 Es1
z1
1
z0 0
94 3 0.7028 0 81.6mm 2.43
s2
p0 Es 2
z2
2
z1 1
94 5.3 0.4972 3 0.7028 18.2mm 2.72
si
si 81.6 18.2 99.8mm
8
s
5-34
Es
Ai p0 zn n 94 5.3 0.4972 2.5MPa
Ai
s
99.8
Esi
Es 2.5MPa 5-8 p0 0.75 fk
s 1.1
5-33
6.45kPa
B
p aB
1h1 K a 2
c=0
18 3 0.271
1.925 6.45 14.634
14.634kPa
pwB whw 0kPa
p aB
pwB 14.634kPa
1
C
paC
1h1 2h2 Ka2
c=0
18 3 10 2 0.271
20.054kPa
pwC whw 10 2 20kPa
1
4
p1i
p2i
0-1
p1i
c i 1 ci 18 27.22 22.61kPa
2
2
pi
z i 1 zi 94 80.84 87.42kPa
2
2
p2i p1i pi 22.61 87.42 110.03kPa
1 5
z 0.2 c
z=5m
z 15.04 0.2 c 12.4 z=6m
z 11.13 0.2 c 14.1
u whw 10 1.5 15kPa h1 h2 24.75 18.8 1.5 52.95kPa u 52.95 15 37.95kPa
u whw 10 4.5 45kPa 52.95 17.3 3 104.85kPa
u 104.85 45 59.85kPa
u whw 10 7.5 75kPa 104.85 h sat4 4 104.85 18.8 3 161.25kPa u 161.25 75 86.25kPa
1
3
z
920 4 2.5 1 20
p0 p d
4 2.5
18 1 94kPa 20
4-9
a
l2
z0
0
1.6
0
b 1.25
b 1.25
4-9 a 0.2500
z0 4 a p0 4 0.2500 94 94kPa
1
l 2 1.6 z 1 0.8
b 1.25
b 1.25
4-9 a 0.2150
z1 4 a p0 4 0.2150 94 80.84kPa