bai tap dia chât cong trinh
TRANSCRIPT
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TS BI TRNG SN
Trang 1NGUYN THNH AN 0903919884
330
Chng2
Bi tp 2.3
Thnh v trn ta c gc phng v hng dc = 3150
Gc dc : tg= h/L = (hH hA)/AH =62 51
0.23965 2
2
= 13027
Bi tp 2.4
bta
H
A65m65m65m
65m
HK3(84m)
HK2(62m)
HK1(51m)
ng phngv hng dc
ngphng
C
EA
D
B
ng phngv hng dc
530
500
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TS BI TRNG SN
Trang 2NGUYN THNH AN 0903919884
700
100
Gc dc :
0 0cos( ) 292cos(17 ) (8 ) 12 51.2cos( )
D A D AD A
h h h hhtg h AB DAB tg h tg m
L AD AB DAB
0 0cos( ) 178cos(77 ) (8 ) 12 6.4
cos( )
A E A EE A
h h h hhtg h AC EAC tg h tg m
L AE AC EAC
,D B E C
h h h h
Bi tp 2.5
Gc dc :
0 0cos( ) 67cos(56 ) (10 ) 1025 1018.4cos( )
A D A DD A
h h h hhtg h AB DAB tg h tg m
L AD AB DAB
0 0cos( ) 108cos(80 ) (10 ) 1025 1028.3cos( )
E A E AE A
h h h hhtg h AC EAC tg h tg m
L AE AC EAC
,D B E Ch h h h
su lp ti C l: 1040 1028.3 = 11.7m
Bi tp 2.1
t gy nghch
Bi tp 2.2
t gy nghch (B)
t gy thun (A)
E
D
C
B
A
660
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TS BI TRNG SN
Trang 3NGUYN THNH AN 0903919884
Chng4
Bi tp 4.6
xil % khi lng t gili cng dn trn ry thi
ail khi lng t gili cng dn trn ry thi
A khi lng t lm TN = 910 + 514.9 = 1424.9g
xi= ai/A*100%
% khi lng t lt qua ry thi: yi% = 100% - xi%
Ta c bng kt qu
TN RY KH
S hiu ry m gi li cng dn (g)xi
(%)yi
(%) inch 0 0.00 100.00
3/8 inch 128.5 9.02 90.98#4 370.8 26.02 73.98#10 910 63.86 36.14
TN RY RA#20 22.43 0.08 99.92
#40 36.84 0.13 99.87#100 51.75 0.19 99.81#200 59.84 0.22 99.78
TN RY RA
#20 xi= (22.43/100)*(514.9/1424.9)
Bi tp 4.7
( ) ,2o
R CVLH N M a M RN F vi R
Cvit theo cch rt gn
1800
( )R
s w
Hd
g t
* *100%1
s
s
Ry
m
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TS BI TRNG SN
Trang 4NGUYN THNH AN 0903919884
Tra bng ta c
= 0.00836 g/cm.s
Rc= 1 + R*0.001+0.0004+0.0018 (*)
Rc s c c hiu chnh
Ta c bng kt qu
Thi gian RRC
=((*)-1)x1000(vit theo cch rt gn)
HRd
(mm)
30 15 17.2 13.613 0.06445 14.2 16.4 13.827 0.0531 13.6 15.8 13.987 0.0462 12 14.2 14.413 0.0335 11.5 13.7 14.547 0.021
15 10 12.2 14.947 0.01230 9 11.2 15.213 0.0091h 8 10.2 15.480 0.0062h 7 9.2 15.747 0.0044h 6.5 8.7 15.880 0.0038h 6 8.2 16.013 0.00224h 5.5 7.7 16.147 0.001
Bi tp 4.9
m ca t:68.3 44.8
*100% 70.4%44.8 11.4
w
s
QW
Q
Khi lng thtch mu t:
32
187.9 89.81.574 /
6.3* *2
4
Qg cm
V
31.574 0.924 /
1 1 0.704
d g cm
W
2.6531 1 1.871
0.924s
d
e
1.871*100% 65.2%
1 2.871
en
e
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TS BI TRNG SN
Trang 5NGUYN THNH AN 0903919884
0.704*2.653*100% 99.8%
1.871s
r
w
WS
e
31 2.653 1 0.576 /1 1 1.871
ssub
g cme
3( ) 2.653 1.871 1.576 /1 1 1.871w s
sat G e g cme
Bi tp 4.10
m ca t:
162 113*100% 43.4%
113w
s
QW
Q
Do t bo ha e = WGs
1s dd
e
Ta c bng kt qu
Gs W ed
(g/cm3)2.658 0.434 1.154 1.234
Bi tp 4.11
m ca t:
(1) (2) *100%(2) (3)
w
s
QWQ
Ta c bng kt qu
Gii hn nho Gii hn dom t m v lon (1) 20.8 22.2 20.9 20.5 21.9m t kh v lon (2) 16 17.1 16 18.1 19
Lon s A15 A28 A93 B39 C45m lon (3) 7.2 8.3 7.9 8 7
S ln ri N 36 26 17
m W(%) 54.5 58.0 60.5 23.8 24.2
p dng pp bnh phng cc tiu dng tuyn tnh, ni suy ng vi N = 25 WL= 58.1%
WL= 0.5*(23.8 + 24.2) = 24%
st ca mu t:
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TS BI TRNG SN
Trang 6NGUYN THNH AN 0903919884
67.3 241.27
58.1 24P
L
L P
W WI
W W
Bi tp 4.12
Mu t 1 WL= 75.3%, chsdo IP= WL WP= 75.3 37.7 = 37.6%
Tra bng 4.24 t bt rt do
Mu t 1 WL= 41.3%, chsdo IP= WL WP= 41.3 18.9 = 22.4%
Tra bng 4.24 t st t do CL
Bi tp 4.13
Ta c Sre = WGsWmaxkhi Sr= 1 Wmax= 0.91/2.66*100 = 34.2%
Bi tp 4.14
p dng cng thc
0*100%, ,1
i ii i i
o i i
h A PA
h A
Ta c bng kt qu
h(0.01 mm)
Ti(N)
i(%)
Ai(cm2)
i(KPa)
0 0 0.000 11.341 0.000
50 21.98 0.658 11.416 19.253100 28.18 1.316 11.492 24.521150 32.69 1.974 11.569 28.255200 33.82 2.632 11.648 29.036250 36.08 3.289 11.727 30.767300 38.33 3.947 11.807 32.463350 40.58 4.605 11.889 34.133400 41.71 5.263 11.971 34.842450 43.97 5.921 12.055 36.475500 45.09 6.579 12.140 37.142
550 47.35 7.237 12.226 38.729600 49.6 7.895 12.313 40.282650 51.86 8.553 12.402 41.816700 54.11 9.211 12.492 43.317750 55.24 9.868 12.583 43.901800 55.24 10.526 12.675 43.580850 53.55 11.184 12.769 41.937
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TS BI TRNG SN
Trang 7NGUYN THNH AN 0903919884
900 51.29 11.842 12.865 39.869
Tbiu ta c qu= 43.901KPa
19.2532926
0.658/100E KPa
Bi tp 4.15
p dng cng thc2
1 10 0 1, 0
1
1 2*(1 ), , , 1
1i n n n
i n n
o n n
h e e ee e e a E
h a
Ta c bng kt qu
(KG/cm2)
hi(0.01 mm)
ea
(cm2/KG)E0
(KG/cm2)0.1 54 2.537 0.679 3.8720.25 110 2.435 0.785 3.2500.5 218 2.239 0.483 4.9771 351 1.997 0.274 8.1122 502 1.723 0.145 13.9104 662 1.432 0.018 99.3942 642 1.468 0.035 53.0951 623 1.503 0.084 22.237
0.5 600 1.545 0.204 9.2860.25 572 1.595
(KPa)
(%)
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TS BI TRNG SN
Trang 8NGUYN THNH AN 0903919884
p tnh bng KPa
Thnh vta c
2.435 2.2390.651
log(0.5) log(0.25)
1.595 1.5450.166
log(0.5) log(0.25)
c
s
C
C
Log(pc) = 1.375 pc= 23.7KPa
Bi tp 4.17
p dng cng thc
21 1
0 0 1, 01
1 2*(1 ), , , 1
1i n n n
i n n
o n n
h e e ee e e a E
h a
Ta c bng kt qu
(KG/cm2)
hi(0.01 mm)
ea
(cm2/KG)E0
(KG/cm2)1 72 0.620 0.021 57.2892 97 0.599
e
Log(p)
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TS BI TRNG SN
Trang 9NGUYN THNH AN 0903919884
Bi tp 4.20
Ta c mi quan h:
tg c
p dng pp bnh phng cc tiu ta c:
Mu 1: c = 0.0945KPa, tg= 0.115 = 6033t bn st
Mu 2: c = 0.0243KPa, tg= 0.5815 = 30010 t ct
Bi tp 4.22
Ta c mi quan h:
2 0 01 3 , (45 ), 2 (45 )2 2
a b a tg b ctg
TKQ TN ta c: a = 1.0325, b = 30.425
0 0 0
30.42514.9
2 2 1.0325
2 ( ) 90 2 ( 1.0325) 90 0.92
bc KPa
a
artg a artg
Bi tp 4.24
Trng lng ring bo ha:
3
2
0.0212423.8( / )
0.082 *0.1694
sat
sat
QKN m
V
Trng lng ring kh:
32
0.0203122.8( / )
0.082*0.169
4
dd
QKN m
V
m ca t:
21.24 20.31*100% 4.6%
20.31w
s
QW
Q
Dot bo ha nc nn
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TS BI TRNG SN
Trang 10NGUYN THNH AN 0903919884
23.8( ) 10(1 ) 2.541
23.81 1 0.046 *0.046110
0.046*2.541 0.1170.117
*100% *100% 10.5%1 1 0.117
r s s
sat
w s sat wsat s s s s
satw
w
s
S e WG e WG
e GWG WG G G
eW W
e WG
en
e
Bi tp 4.26
Cng sc khng nn n:
2max2
13.35*326190( / )
5.4
4
u
Pq KG cm
A
Bi tp 4.27
Tnh ETB
Tnh11
01
1( )
11TH i TbS E E
Kim tra iu kin:
0 0i Tb TH E E S (*)
Vi 0 = 2.47 (bng 4.17)Ta c bng kt qu
STTEoi
(KG/cm2)Etb
(KG/cm2) 0i TBE E 20( )i TBE E Sth
KTiu kin (*)
1 66.7 1.864 3.473 tha2 61.2 3.636 13.223 tha3 68.5 3.664 13.422 tha4 60.1 4.736 22.433 tha5 57.8 7.036 49.510 tha
6 69.3 4.464 19.924 tha7 64.4 0.436 0.190 tha8 67.2 2.364 5.587 tha9 58.5 6.336 40.150 tha10 72.6 7.764 60.274 tha11 66.9
64.8
2.064 4.259
4.60
tha
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TS BI TRNG SN
Trang 12NGUYN THNH AN 0903919884
Chng5
Bi tp 5.2
cho hmng khng bbc l trng lng ca tng cch nc p lc y ngc ca nc
p lc
max10*4( ) 2.5 1.5
16Wt h t t m h m
Vy chiu su ti a ca h o l: 1.5 + 1 = 2.5m
Bi tp 5.3
4m
1m
t
h
A
t
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TS BI TRNG SN
Trang 13NGUYN THNH AN 0903919884
Xt ti im A
trng lng ca tng cch nc: ((-1.5)-(4))*15.5 = 38.75 KPa
p lc y ngc ca nc p lc
Vo ma kh: 10*(0-(-4)) = 40 KPa
Vo ma l: 10*(2-(-4)) = 60 KPa
Do p lc y ngc ca nc trng lng ca tng cch nc bc y hmng
cho hmng khng bbc l trng lng ca tng cch nc p lc y ngc ca nc
p lc
(2 ( 4) ) 60 15.5*(6 ) 60 2.129t t t m
Bi tp 5.4
p dng cng thc:
i ih
Ta c bng kt qu
su z(m)
(KPa)
0 06 109.2
11 240.2
Bi tp 5.5
p dng cng thc:
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TS BI TRNG SN
Trang 14NGUYN THNH AN 0903919884
, , 'i i i i w i i i i
h u h u
Ta c bng kt qu
su z(m)
(KPa)
u(KPa)
(KPa)
0 0 0 02 36.4 20 16.4
5 (lp ct) 94.3 50 44.35 (lp st) 94.3 0 94.3
10 195.3 0 195.312 235.7 0 235.7
Bi tp 5.6
Tng tbi 5.5
Ta c bng kt qu
su z(m)
(KPa)
u(KPa)
(KPa)
0 0 0 0
6 (lp bn st) 91.2 60 31.26 (lp st) 91.2 0 91.29 (lp st) 147 0 1479 (lp ct) 147 80 6713 (lp ct) 225.4 120 105.413 (lp st) 225.4 0 225.415 (lp st) 268.2 0 268.2
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TS BI TRNG SN
Trang 15NGUYN THNH AN 0903919884
15 (lp ct) 268.2 190 78.222 400.5 260 140.5
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TS BI TRNG SN
Trang 16NGUYN THNH AN 0903919884
Chng6
Bi tp 6.1
a.Lu lng n vca dng thm:
1 2
2
18 17.211.5*5.4* 0.382
130
H Hq KM
L
(m3/ngy m)
b.Chiu cao mc p lc Hx
1 21 1
2
(18 17.2)*80*( ) 18 18.49
130xH H
H H L mL
Bi tp 6.2
a.Lu lng n vca dng thm:
2 2 2 21 2
2
11.5 10.712* 1.332
2 2*80
h hq K
L
(m3/ngy m)
b.Chiu cao mc p lc hx
2 2 2 22 21 2
1 12
(11.5 10.7 ) *50*( ) 11.5 11.97
80xh h
h h L mL
Bi tp 6.3
Ta c h1= 11.1 4.1 = 7m
h2= 9.8 4.1 = 5.7m
1 2
1 2
1 2
21529.655
170 45
40 15
tb
L LK
L L
K K
(m/ngy m)
a.Lu lng n vca dng thm:
2 2 2 21 2 7 5.729.655* 1.139
2 2*215tbh hq K
L (m3/ngy m)
b.Chiu cao mc p lc h3
2 2 2 22 21 2
3 1 1
(7 5.7 )*170* 7 5.995
215
h hh h L m
L
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TS BI TRNG SN
Trang 17NGUYN THNH AN 0903919884
Bi tp 6.4
a.Lu lng Q ca ging bm khi bm ht n nh:
1 1
1 1
2 ( ) 2 ( ) 2 *12.5 *6 *(3 0.8)291.6
7ln( )ln( ) ln( )
0.2
hk hk
hk hk
kM H h kM S S Q
r r
r r
(m3/ngy m)
b.hthp mc nc S2
2
2 22
2 2
10ln( ) 291.6*ln( )2 ( ) 2 ( ) 0.23 0.5792 2 *12.5*6ln( ) ln( )
hk hk hk hk
hk hk
rQ
kM H h kM S S r Q S S m
r r kM
r r
Bi tp 6.5
a.Lu lng Q ca ging bm khi bm ht n nh:1 1
2 2 2 21
1
10 0.3 9.7
10 2.5 7.5
( ) *15*(9.7 7.5 )524.3
6ln( )ln( )
0.2
hk hk
hk
hk
h h S m
h h S m
k h hQ
r
r
(m3/ngy m)
b.hthp mc nc S2
22 2
2 222
2
2 2
10ln( ) 524.3*ln( )( ) 0.2 7.5 9.98*15ln( )
10 9.98 0.02
hk hk hk
hk
rQk h h r
Q h h mr k
r
S h h m
Bi tp 6.6
a.Hsthm ca tng cha nc:
1 1
2 2
22 22 1 1
2 2 2 22 2 1
1
13.4 0.7 12.713.4 0.5 12.9
5.2ln( ) 297*ln( )( ) 2.2 15.9( ) (12.9 12.7 )ln( )
h h S mh h S m
rQ
k h h r Q k
r h h
r
(m/ngy m)
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TS BI TRNG SN
Trang 18NGUYN THNH AN 0903919884
b.hthp mc nc Shk
22 2
2 222
2
5.2ln( ) 297*ln( )( ) 0.2 12.9 12.1*15.9ln( )
13.4 12.1 1.3
hk hk
hk
hk
hk hk
rQ
k h h r Q h h m
r k
r
S h h m
c.Bn knh nh hng ca ging bm
2 2 2 2 2 2( ) ( ) 15.9*(13.4 12.1 )ln( ) ln( ) 52.8
0.2 297ln( )
hk hk
hk
hk
k h h k h hR RQ R m
R r Q
r
Bi tp 6.7
a.Hsthm ca tng cha nc:1 1
2 2
22 22 1 1
2 2 2 22 2 1
1
13.2 1.9 11.3
13.2 1.6 11.6
5.8ln( ) 312*ln( )( ) 3.3 8.2( ) (11.6 11.3 )ln( )
h h S m
h h S m
rQ
k h h r Q k
r h h
r
(m/ngy m)
b.hthp mc nc Shk
22 2
2 222
2
5.8ln( ) 312*ln( )( ) 0.2 11.6 9.7*8.2ln( )
13.2 9.7 3.5
hk hk
hk
hk
hk hk
rQ
k h h r Q h h m
r k
r
S h h m
c.Bn knh nh hng ca ging bm
2 2 2 2 2 2( ) ( ) 8.2 *(13.2 9.7 )ln( ) ln( ) 149.7
0.2 312ln( )
hk hk
hk
hk
k h h k h hR RQ R m
R r Q
r
Bi tp 6.8
a.Bn knh tng ng:
20 0
40*5025.2
abr ab r m
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TS BI TRNG SN
Trang 19NGUYN THNH AN 0903919884
b.Bn knh tng tc dng ca ging bm
0 0 010 10*6* 13.8 25.2 248R R r S K r m
Bi tp 6.12
a.Hsthm ca lp cha nc:
2 2 2 21 2 4 5 3 6
0 01 0 1 6 0 1 6
1
4 2
0.5* 32 18 18.35 , 27 16 31.38
1 1(ln ln( ... )) (ln ln( ... ))
2 2
6*310 1(ln190 ln(18.35 * 31.38 )) 12.67
2*4.2 *12 6
QS
QS
r r r r m r r m
nQ nQS R r r k R r r
kM n S M n
(m/ngy m)
b.hthp mc p lc ti A:
2 2 2 21 4 2 5 3 6
2 2 200 1 6
36 16 39.4 , 18 16 24.1 , 16
1 6*310 1(ln ln( ... )) (ln190 ln(39.4 *24.1 *16 )) 3.97
2 2* *12.67*12 6A
r r m r r m r r m
nQS R r r m
kM n
c. su o ti a:
AQS1
HK3
HK6HK5
HK2
HK4
HK1
h
3.97m
11.03m
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TS BI TRNG SN
Trang 20NGUYN THNH AN 0903919884
cho hmng khng bbc l trng lng ca tng cch nc p lc y ngc ca nc
p lc
max(15 ) 11.03*10 8.1 8.1h h m h m
Bi tp 6.13
a.Lu lng n vdng thm:
1 2
2 2 2 21 2
1
18.5 6.5 12 , 10.3 6.5 3.8
( ) 15*(12 3.8 )6.94
2 2*140
h m h m
k h hq
L
(m2/ngy m)
1 2
1 2
1 2
2 140 8.8752 140
0.3 15
tbL LKL L
K K
(m/ngy m)
b.Lu lng n vdng thm:
2 2 2 20 2
1 2
( ) 8.875 *(12 3.8 )4.05
2( ) 2*(140 2)
k h hq
L L
(m/ngy m)
gim lng mt nc:
1 2
1
6.94 4.05*100% *100% 41.6%
6.94
q q
q
Bi tp 6.14
p dng cng thc:
2
2 2
2 2 2
2 10 604* *ln( ) * *ln( ) * *ln( ) * *ln( ) 0.03 /5 60 60 40
425.92
d
a l H l H d l H K cm s
DA t H S t H S D t H S
(m/ngym)
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TS BI TRNG SN
Trang 21NGUYN THNH AN 0903919884
Chng7
Bi tp 7.1
Hs ng t Kc:
22
22
4435
0.5 0.5639810c
Aa TKg g
Bi tp 7.2
Xt ti im A:
ng sut tng:
sat wL h
p lc nc lrng:
( ) ' ( )w sat w wu L h H u L H
Ct trong bnh si ln khi = 0
( ) 2.66 0.68( ) ( 1)*0.4( ) 1 1 0.68 0.395
1
w sw
sat w
w w
G eL
L eH m
Bi tp 7.4
Bn knh tng ng:
A
L
h
deltaH
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TS BI TRNG SN
Trang 22NGUYN THNH AN 0903919884
0
9*115.6
abr m
Lu lng khi tho kh hon ton:
0 0
0
2 2* *5*3*72 2 709
14.2ln( ) ln( )5.6
R H
r
dH kMH Q kiA k rM Q dr kM dH Q
Rdrr
(m3/ngy m)
Gradient ti hn:
1 2.661 10.946
(1 ) 1 0.755sub s
th
w w
ie
Gradient thc t trong iu kin an ton nht:
2
tt
H Hi
rLR
y r c thl rohay a hay b, nhng ta chn b imax(nguy him nht)
70.8
1114.2
2 2
tt
Hi
bR
Bi tp 7.5
Bn knh tng ng:
0
8.5*105.2
abr m
Lu lng khi tho kh hon ton:
0
2 2
0
0
*5.2*5.52 2 499
14ln( ) ln( )
5.2
R H
r
dh khQ kiA k rh Q dr k hdh Q
Rdr
r
(m
3/ngy m)
Gradient ti hn:
1.837 10.837
1sub sat w
th
w w
i
Gradient thc t trong iu kin an ton nht:
5.50.61
1014
2 2
tt
hi
bR
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8/10/2019 Bai Tap Dia Cht Cong Trinh
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TS BI TRNG SN
T 24
Chng8
Bi tp 8.2
Sc khng ct khng thot nc ca t:
max2 3 2 3
0.02311.5
0.08 *0.172 0.08( ) ( )
2 6 2 6
u
Mc KPa
d h d
Bi tp 8.3
Modun bin dng ca t nn:2 2 142(1 ) (1 0.35 )*0.79*0.28* 712
0.0387
pE d KPa
S
ln ca mng c brng Bf= 2m
2 2( 30) 200*(28 30)
125.6( 30) 28*(200 30)
f f p
f
p p f
S B BS mm
S B B
Bi tp 8.4
Kch thc mng:
2250.3 0.3
2 7.5 3.140.3 25
227.5
f
pf
p f
p
S
SS BB m
S B S
S