河海土力学课后习题答案
u C c C
d
d u C 1060=d d d c C 60102)(30= d 10d 30d 60
u C c C
1-9
1-10
1-11
1-12 e e e e D r
min max 0max --=
1-13
1-14 I P
w w I P L P -= I w w w w w w I P P P L
P L
-=--=
1-15
1-16
100.083d mm =300.317d mm =600.928d mm =
60100.92811.180.083u d C d ===22
301060()0.317 1.610.0830.928
c d C d d ===?
100.0015d mm =300.003d mm =600.0066d mm =
60100.0066 4.40.0015u d C d ===22
301060()0.0030.910.00150.0066
c d C d d ===?
m S m S G
∴r S
w
S m m m =-= w
S m m ω= 4.710.6
0.443 2.7 1.201.0
S r e G S ω?=
== 1.20.54554.5%11 1.2
e e η=
===++ 32.7 1.2 1.77/11 1.2
S sat w G e g cm e ρρ++===++ 31.771017.7/sat
sat g kN m γρ=?=?=
3' 1.77 1.00.77/sat w g cm ρρρ=-=-=
3''0.77107.7/g kN m γρ=?=?=
32.7 1.0 1.23/11 1.2
S w d G g cm e γρ?=
==++ 31.231012.3/d d g kN m γρ=?=?=
31.60 1.51/110.06
d g cm ρρω=
==++ ∴ 2.70 1.01110.791.51s s w d d G e ρρρρ?=-=-=-= ∴0.7929.3%2.70
sat s e G ω=== 1.60100150.91110.06
s m V m g ρωω?====+++ ∴(29.3%6%)150.935.2w s m m g ω?=?=-?=
w S m m
ω=w S m m m =-
s S
m m m ω=-
∴1000940110.06
s m m g ω=
==++ 0.16ω?=
∴0.16940150w s m m g ω?=?=?=
31.77 1.61/110.098
d g cm w ρρ==
=++ ∴0 2.7 1.01110.681.61s s w d d G e ρρρρ?=-=-=-= 00.6825.2%2.7
sat s e G ω=== max 0max min 0.940.680.540.940.46
r e e D e e --===-- 1/32/3r D <<
∴
1S d G e ωρρ=+S r G e S ω= ∴0.15 2.750.8250.5A e ?==0.06 2.680.5360.3
B e ?== 32.75 1.50/10.825dA g cm ρ==+32.68 1.74/10.536
dB g cm ρ==+ (1)d ρρω=+
∴3(1) 1.50(10.15) 1.74/A dA A g cm ρρω=+=?+=
3(1) 1.74(10.06) 1.84/B dB B g cm ρρω=+=?+=
A B ρρ<
∴
32.75 1.50/10.825dA g cm ρ==+32.68 1.74/10.536
dB g cm ρ==+ dA dB ρρ<
∴
0.15 2.750.8250.5A e ?==0.06 2.680.5360.3
B e ?== A B e e >
∴
1-7
/1/11s s s s s s w d s V V s m m m V G V V V V V e e ρρρ=
====++++ 1n e n =
- ∴1()(1)111s w s w s w G G G n n e n
ρρρ==-++- 1/111s w w V w s w s w s s V s s w w r s r w s V V s m V V V m m V V V V G S e G S e m V V V V V e e e
ρρρρρρρ+++++======+++++1'1111s w s s w s s w s s w s w w s w V
s V s
m m V m V V G G V V V V e e e V ρρρρρρρρρ------======+++++
16133p I =-=
241410p I =-=
10d 30d 60d
6010 5.6280.2
u d C d === 22
301060()0.450.180.2 5.6
c d C d d ===? 5,1~3u c C C >≠
12s s m m =
1122d d V V ρρ=
11221
1d V V ρρω=+ ∴22
111(1) 1.6520(112%)21.741.7
d V V ρωρ+??+===万方 1.6530004950s d m V t ρ==?=
()4950(19%12%)346.5w s op m m ωω?=-=?-= 2.72 1.01110.6481.65
s s w d d G e ρρρρ?=-=-=-= 20.0%95% 2.7279.8%0.648
s r G S e ω??=
==
2-1
2-2
2-4
2-5
2-6
0w
w u h r =
00cz σ=
11118.5237cz h kPa σγ==?=
21122'3718155cz h h kPa σγγ=+=+?= 2112222''55(2010)165cz h h h kPa σγγγ=++=+-?= 311222233'''65(1910)392cz h h h h kPa σγγγγ=+++=+-?= 41122223344''''92(19.510)2111cz h h h h h kPa σγγγγγ=++++=+-?= 010660w w u r h kPa ==?=
2-2
2106206312466V G F P G P Ad kN γ=+=+=+???= max
min 178.16246660.3(1)(1)95.9636
v p kPa F e p kPa l b l ?=±=±=? min 095.917 1.078.9n p p r d kPa =-=-?= max min 178.195.982.2t p p p kPa =-=-=
①
321.5l m b ===001.5
z n b ===0.2500S K = ∴1440.2578.978.9zo S n K p kPa σ==??= 1.50.53l m b ===001.5
z n b ===10t K =20.2500t K = ∴21202t zo t p K σ==3282.2220.2520.5522
t zo t p K kPa σ==??= 321.5l m b ===001.5
z n b ===40.2500S K = ∴4482.2220.2520.5522
t zo S p K kPa σ==??= ∴001020304120z z z z z kPa σσσσσ=+++=
②
641.5l m b ===4 2.71.5
z n b ===0.1036S K = ∴1220.103678.916.35zA S n K p kPa σ==??=
1.50.256l m b ===40.676
z n b ===0.0695t K = ∴2220.069582.211.4258zA t t K p kPa σ==??= ∴1216.3511.425827.78zA zA zA kPa σσσ=+=+= ③
313l m b ===4 1.333
z n b ===0.1412S K = ∴1220.141278.922.28zB S n K p kPa σ==??=
282.20.1412 5.8022
t zB S p K kPa σ==?= 313l m b ===4 1.333
z n b ===10.0585t K =20.0826t K = ∴3182.20.0585 2.3922
t zB t p K kPa σ==?= 2282.20.0826 3.3922
t zB t p K kPa σ==?= ∴123433.86zB zB zB zB zB kPa σσσσσ=+++=
2-3
1112'194(209.8)186.19zM h h kPa σγγ=+=?+-?= 33'86.19(18.59.8)3112.26zN zM h kPa σσγ=+=+-?=
3-1 ki L h k
v == 0.1/≤=ηρ
vd w e R
3-2
3-3
（1）
（2）
（3）
（4）
3-4
3-5 )1)(1(n G i s cr --=[])1()1(79.0)1()1(2420CD n n n i L cr +----= d d G i n s cr 20
52)1)(1(2.2--=
3-6 h w
γh w γ
3-7
3-8 )()(y y y x x x y x d y
q q d x q q q q ??+÷??+=÷ x k y k 02222=??+??y
h x h
4-1
4-2 v a p
e p p e e a v ??-=--=1221 c C )lg(lg lg 111221p p p e p p e e C c ?+?-=--= s C
v m )11e a v +
s E v m 1z z s E εσ= 4-3
4-4
4-5 d
n p p γ-= 4-6
4-7
4-8
'σ+=u p 4-9
4-10
5-1
5-2 ?στtg f =
?στtg c f +=
5-3
σ 5-4 f
ττ=
5-5 245?θ+= f 0=?
5-6
5-7 u u t q q S '=
5-8
5-9
5-12 u c c σ
u c c σ
6-1
6-2
6-3
p E
6-4
6-5
0=ε0=α00=? 6-6 ε 150? 15
7-1
7-2
7-3
7-4
7-5
8-1
8-2
8-3 p p p cr p p cr p p p cr p u f cr p p p u f
8-4
8-5
8-6 b M d M c M r N q N c N