Docx 20111028 Bai Tap Dia Chat Cong Trinh

TS BI TRNG SN

Chng

2

Bi tp 2.3

ng phng

H K 1 (5 1 m ) Ang phng v hng dc65m 65m

65m

65m

H K 3 (8 4 m )

H

b ta

H K 2 (6 2 m )T hnh v trn ta c gc phng v hng dc = 315062 51 = 0.239 Gc dc : tg = h/L = (hH hA)/AH = 65 2 = 13027 2

Bi tp 2.4 500

E A

ng phng v hng dc

D

530 330

C

B

HVTH: NGUYN NH PHI (09090910)

Trang 1

TS BI TRNG SN Gc dc :tg = tg = h hD hA hD hA = = hD = AB cos( DAB) tg + hA = 292 cos(170 )tg (80 ) + 12 = 51.2 m L AD AB cos( DAB) h hA hE hA hE = = hE = AC cos( EAC ) tg + hA = 178cos(770 )tg (80 ) + 12 = 6.4 m L AE AC cos( EAC )

hD = hB , hE = hC

Bi tp 2.5

100

D B660

A E700

CGc dc :tg = tg = h hA hD hA hD = = hD = AB cos( DAB )tg + hA = 67 cos(560 )tg (100 ) + 1025 = 1018.4m L AD AB cos( DAB ) h hE hA hE hA = = hE = AC cos( EAC )tg + hA = 108cos(800 )tg (100 ) + 1025 = 1028.3m L AE AC cos( EAC )

hD = hB , hE = hC

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) HVTH: NGUYN NH PHI (09090910) Trang 2

TS BI TRNG SN

Chng

4

Bi tp 4.6 xi l % khi lng t gi li cng dn trn ry th i ai l khi lng t gi li cng dn trn ry th i A khi lng t lm TN = 910 + 514.9 = 1424.9g xi = ai/A*100% % khi lng t lt qua ry th i: yi% = 100% - xi% Ta c bng kt qu TN RY KH S hiu ry inch 3/8 inch #4 #10 #20 #40 #100 #200 TN RY RA #20 xi = (22.43/100)*(514.9/1424.9) Bi tp 4.7HR = V L (N M ) + a + o , M = RC vi RC vit theo cch rt gn N 2F

m gi li cng dn (g) 0 128.5 370.8 910 22.43 36.84 51.75 59.84

xi (%) 0.00 9.02 26.02 63.86 TN RY RA 0.08 0.13 0.19 0.22

yi (%) 100.00 90.98 73.98 36.14 99.92 99.87 99.81 99.78

d=y=

1800 H R g ( s w )t

s R * *100% s 1 m

Tra bng ta c HVTH: NGUYN NH PHI (09090910) Trang 3

TS BI TRNG SN = 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 30 45 1 2 5 15 30 1h 2h 4h 8h 24h Bi tp 4.9 m ca t:W= Qw 68.3 44.8 = *100% = 70.4% Qs 44.8 11.4

R 15 14.2 13.6 12 11.5 10 9 8 7 6.5 6 5.5

RC =((*)-1)x1000 (vit theo cch rt gn) 17.2 16.4 15.8 14.2 13.7 12.2 11.2 10.2 9.2 8.7 8.2 7.7

HR 13.613 13.827 13.987 14.413 14.547 14.947 15.213 15.480 15.747 15.880 16.013 16.147

d (mm) 0.064 0.053 0.046 0.033 0.021 0.012 0.009 0.006 0.004 0.003 0.002 0.001

Khi lng th tch mu t:=Q 187.9 89.8 = =1.574 g / cm3 2 6.3 V * *2 4

d =e= n=

1.574 = = 0.924 g / cm 3 1 + W 1 + 0.704

s 2.653 1= 1 = 1.871 d 0.924e 1.871 = *100% = 65.2% e + 1 2.871 W s 0.704* 2.653 = *100% = 99.8% e w 1.871

Sr =


Trang 4

TS BI TRNG SN sub = sat =

s 1 2.653 1 = = 0.576 g / cm3 1 + e 1 + 1.871 w (Gs + e) 2.653 + 1.871 = = 1.576 g / cm3 1+ e 1 + 1.871

Bi tp 4.10 m ca t:W= Qw 162 113 = *100% = 43.4% Qs 113

Do t bo ha e = WGse=

s 1 d d

Ta c bng kt qu Gs 2.658 Bi tp 4.11 m ca t:W= Qw (1) (2) = *100% Qs (2) (3)

W 0.434

e 1.154

d (g/cm3) 1.234

Ta c bng kt qu m t m v lon (1) m t kh v lon (2) Lon s m lon (3) S ln ri N m W(%) 20.8 16 A15 7.2 36 54.5 Gii hn nho 22.2 17.1 A28 8.3 26 58.0 20.9 16 A93 7.9 17 60.5 Gii hn do 20.5 21.9 18.1 19 B39 C45 8 7 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:IL = W WP 67.3 24 = = 1.27 WL WP 58.1 24

Bi tp 4.12 HVTH: NGUYN NH PHI (09090910) Trang 5

TS BI TRNG SN Mu t 1 WL = 75.3%, ch s do IP = WL WP = 75.3 37.7 = 37.6% Tra bng 4.24 t bt rt do Mu t 1 WL = 41.3%, ch s do 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 = WGs Wmax khi Sr = 1 Wmax = 0.91/2.66*100 = 34.2% Bi tp 4.14 p dng cng thci =hi A0 P *100%, Ai = , i = i ho 1 i Ai

Ta c bng kt qu h (0.01 mm) 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 Ti (N) 0 21.98 28.18 32.69 33.82 36.08 38.33 40.58 41.71 43.97 45.09 47.35 49.6 51.86 54.11 55.24 55.24 53.55 51.29 i (%) 0.000 0.658 1.316 1.974 2.632 3.289 3.947 4.605 5.263 5.921 6.579 7.237 7.895 8.553 9.211 9.868 10.526 11.184 11.842 Ai (cm2) 11.341 11.416 11.492 11.569 11.648 11.727 11.807 11.889 11.971 12.055 12.140 12.226 12.313 12.402 12.492 12.583 12.675 12.769 12.865 i (KPa) 0.000 19.253 24.521 28.255 29.036 30.767 32.463 34.133 34.842 36.475 37.142 38.729 40.282 41.816 43.317 43.901 43.580 41.937 39.869


Trang 6

TS BI TRNG SN (KPa)

(%)

T biu ta c qu = 43.901KPaE= 19.253 = = 2926KPa 0.658 /100

Bi tp 4.15 p dng cng thcei = e0 hi e e e +1 2 2 *(1 + e0 ), an1, n = n1 n , E0 = n1 , = 1 ho n n1 a 1

Ta c bng kt qu (KG/cm2) 0.1 0.25 0.5 1 2 4 2 1 0.5 0.25 hi (0.01 mm) 54 110 218 351 502 662 642 623 600 572 e 2.537 2.435 2.239 1.997 1.723 1.432 1.468 1.503 1.545 1.595 a (cm2/KG) 0.679 0.785 0.483 0.274 0.145 0.018 0.035 0.084 0.204 E0 (KG/cm2) 3.872 3.250 4.977 8.112 13.910 99.394 53.095 22.237 9.286


Trang 7

TS BI TRNG SN e

Log(p) p tnh bng KPa T hnh v ta c2.435 2.239 = 0.651 log(0.5) log(0.25) 1.595 1.545 Cs = = 0.166 log(0.5) log(0.25) Cc =

Log(pc) = 1.375 pc = 23.7KPa Bi tp 4.17 p dng cng thcei = e0 hi e e e +1 2 2 *(1 + e0 ), an1, n = n1 n , E0 = n1 , = 1 ho n n1 a 1

Ta c bng kt qu (KG/cm2) 1 2 hi (0.01 mm) 72 97 e 0.620 0.599 a (cm KG) 0.0212/

E0 (KG/cm2) 57.289


TS BI TRNG SN Ta c mi quan h: = tg + c p dng pp bnh phng cc tiu ta c: Mu 1: c = 0.0945KPa, tg = 0.115 = 6 33 t bn st Mu 2: c = 0.0243KPa, tg = 0.5815 = 30 10 t ct0 0

Bi tp 4.22 Ta c mi quan h: 1 = a 3 + b , a = tg 2 (450 + ), b = 2ctg (45 0 + ) 2 2

T KQ TN ta c: a = 1.0325, b = 30.425c= b 2 a = 30.425 = 14.9 KPa 2 1.0325

= 2artg ( a ) 900 = 2artg ( 1.0325) 900 = 0.920

Bi tp 4.24 Trng lng ring bo ha: sat =Qsat = V 0.02124 = 23.8( KN / m 3) 2 0.082 *0.169 4

Trng lng ring kh:d =Qd = V 0.02031 = 22.8( KN / m 3 ) 2 0.082 *0.169 4

m ca t:W= Qw 21.24 20.31 = *100% = 4.6% Qs 20.31

Do t bo ha nc nn


Trang 9

TS BI TRNG SNS r e = WGs e = WGs

sat 23.8 w (e + Gs ) sat w 10 sat = (1+ WGs ) = WGs + Gs Gs = = = 2.541 sat 23.8 1+ e w *0.046 1+W W 1 + 0.046 10 w e = WGs = 0.046*2.541= 0.117 e 0.117 n= *100% = *100% = 10.5% 1+ e 1 + 0.117

Bi tp 4.26 Cng sc khng nn n:qu = Pmax 13.35*326 = = 190( KG / cm2 ) 2 5.4 A 4

Bi tp 4.27 Tnh ETB Tnh STH =1 11 ( E0 i E Tb) 11 1

Kim tra iu kin:E0i ETb < 0 STH (*)

Vi 0 = 2.47 (bng 4.17) Ta c bng kt qu STT 1 2 3 4 5 6 7 8 9 10 11 Eoi (KG/cm2) 66.7 61.2 68.5 60.1 57.8 69.3 64.4 67.2 58.5 72.6 66.9 Etb (KG/cm2)E0i ETB( E0i ETB ) 2

Sth

64.8

1.864 3.636 3.664 4.736 7.036 4.464 0.436 2.364 6.336 7.764 2.064

3.473 13.223 13.422 22.433 49.510 19.924 0.190 5.587 40.150 60.274 4.259

4.60

KT iu kin (*) tha tha tha tha tha tha tha tha tha tha tha Trang 10


TS BI TRNG SN

Tnh S =

1 11 ( E0i ETb ) 10 1

H s bin thin:V= S V , = 0.85 t = 1.1, = t ETB n

Tr tnh ton:Ett = ETB (1 )

Ta c bng kt qu S 4.821 Bi tp 4.28 Cng sc khng nn n:qu = Pmax Pmax = qu A = 20400*1*1= 20400T A

V 0.074

0.025

Ett63.2

Ett+ 66.4

M lc t ti chn ctP = Ah vi h l chiu cao ct

hmax khi p = Pmaxhmax = Pmax 20400 = = 7846.2 m A 2.6

Bin dng ca ct :=h max 20400 = = = 0.004 h= 7846.2*0.004= 31.38m h E 500000*10.2

Bi tp 4.29 Tng t bi 4.28 ta chmax = Pmax qu 417 = = = 22.6m A 18.4

Bin dng ca ct t:=h max 417 = = = 0.019 h = 22.6*0.019 = 0.43m h E 21570


Trang 11

TS BI TRNG SN

Chng

5

Bi tp 5.2

1m

h4m

t

cho h mng khng b bc l trng lng ca tng cch nc p lc y ngc ca nc p lc t W (h + t ) t 10* 4 = 2.5m h max = 1.5m 16

Vy chiu su ti a ca h o l: 1.5 + 1 = 2.5m Bi tp 5.3

t

A


Trang 12

TS BI TRNG SN 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 h mng cho h mng khng b bc l trng lng ca tng cch nc p lc y ngc ca nc p lc (2 (4) t) 60 15.5*(6 t) 60 t 2.129 m

Bi tp 5.4 p dng cng thc: = i hi

Ta c bng kt qu su z (m) 0 6 11 (KPa) 0 109.2 240.2

Bi tp 5.5 p dng cng thc: HVTH: NGUYN NH PHI (09090910) Trang 13

TS BI TRNG SN i = ihi , u i = whi , i ' = i u i

Ta c bng kt qu su z (m) 0 2 5 (lp ct) 5 (lp st) 10 12 (KPa) 0 36.4 94.3 94.3 195.3 235.7 u (KPa) 0 20 50 0 0 0 (KPa) 0 16.4 44.3 94.3 195.3 235.7

Bi tp 5.6 Tng t bi 5.5 Ta c bng kt qu su z (m) 0 6 (lp bn st) 6 (lp st) 9 (lp st) 9 (lp ct) 13 (lp ct) 13 (lp st) 15 (lp st) 15 (lp ct) (KPa) 0 91.2 91.2 147 147 225.4 225.4 268.2 268.2 u (KPa) 0 60 0 0 80 120 0 0 190 (KPa) 0 31.2 91.2 147 67 105.4 225.4 268.2 78.2 Trang 14


TS BI TRNG SN 22 400.5 260 140.5


Trang 15

TS BI TRNG SN

Chng

6

Bi tp 6.1 a. Lu lng n v ca dng thm:q = KM H1 H 2 18 17.2 = 11.5*5.4* = 0.382 (m3/ngy m) L2 130

b. Chiu cao mc p lc HxH x = H1 H1 H 2 (18 17.2) *80 *( L1 ) = 18+ = 18.49m L2 130

Bi tp 6.2 a. Lu lng n v ca dng thm:q=K h12 h2 2 11.52 10.7 2 = 12* = 1.332 (m3/ngy m) 2 L2 2*80

b. Chiu cao mc p lc hxhx = h12 h12 h2 2 (11.52 10.7 2 ) *50 *( L1 ) = 11.52 + = 11.97 m L2 80

Bi tp 6.3 Ta c h1 = 11.1 4.1 = 7m h2 = 9.8 4.1 = 5.7mK tb = L1 + L2 215 = = 29.655 L1 L2 170 45 (m/ngy m) + + K1 K 2 40 15

a. Lu lng n v ca dng thm:h12 h2 2 7 2 5.7 2 q = K tb = 29.655* = 1.139 (m3/ngy m) 2L 2* 215

b. Chiu cao mc p lc h3h3 = h12 h12 h2 2 (7 2 5.7 2 ) *170 * L1 = 72 = 5.995m L 215


Trang 16

TS BI TRNG SN Bi tp 6.4 a. Lu lng Q ca ging bm khi bm ht n nh:Q= 2 kM ( H1 hhk ) 2 kM ( S hk S1 ) 2 *12.5*6*(3 0.8) = = = 291.6 3 r1 r1 7 (m /ngy m) ln( ) ln( ) ln( ) rhk rhk 0.2

b. h thp mc nc S2r2 10 ) 291.6* ln( ) 2 kM ( H 2 hhk ) 2 kM (S hk S2 ) rhk 0.2 = 0.579 m Q= = S2 = Shk =3 r2 r2 2 kM 2 *12.5* 6 ln( ) ln( ) rhk rhk Q ln(

Bi tp 6.5 a. Lu lng Q ca ging bm khi bm ht n nh:h1 = h S1 = 10 0.3 = 9.7 m hhk = h Shk = 10 2.5 = 7.5m Q=2 k ( h12 hhk ) *15*(9.7 2 7.52 ) = = 524.3 r1 6 ln( ) ln( ) rhk 0.2

(m3/ngy m) b. h thp mc nc S2 k (h h ) h2 = r2 ln( ) rhk S 2 = h h2 = 10 9.98 = 0.02 mQ=2 2 2 hk

Q ln(

r2 10 ) 524.3*ln( ) rhk 2 0.2 + 7.5 2 = 9.98 m + hhk = k *15

Bi tp 6.6 a. H s thm ca tng cha nc:h1 = h S1 = 13.4 0.7 = 12.7m h2 = h S2 = 13.4 0.5 = 12.9m r 5.2 Q ln( 2 ) 297 *ln( ) k (h h ) r1 2.2 = 15.9 Q= k = = 2 r2 (h2 h12 ) (12.92 12.7 2 ) ln( ) r12 2 2 1

(m/ngy m) HVTH: NGUYN NH PHI (09090910) Trang 17

TS BI TRNG SN b. h thp mc nc Shk k (h h ) hhk = r ln( 2 ) rhk Shk = h hhk = 13.4 12.1 = 1.3mQ=2 2 2 hk

Q ln(

r2 5.2 ) 297 *ln( ) rhk 0.2 + 12.92 = 12.1m + h22 = k *15.9

c. Bn knh nh hng ca ging bmQ=2 2 k ( h 2 hhk ) k (h 2 hhk ) R R 15.9*(13.42 12.12 ) ln( ) = ln( ) = R = 52.8m R rhk Q 0.2 297 ln( ) rhk

Bi tp 6.7 a. H s thm ca tng cha nc:h1 = h S1 = 13.2 1.9 = 11.3m h2 = h S2 = 13.2 1.6 = 11.6m r 5.8 Q ln( 2 ) 312*ln( ) k (h h ) r1 3.3 = 8.2 Q= k = = 2 2 2 r (h2 h1 ) (11.6 11.32 ) ln( 2 ) r12 2 2 1

(m/ngy m) b. h thp mc nc Shk k (h h ) hhk = r ln( 2 ) rhk S hk = h hhk = 13.2 9.7 = 3.5 mQ=2 2 2 hk

Q ln(

r2 5.8 ) 312 * ln( ) rhk 0.2 +11.6 2 = 9.7 m + h22 = k *8.2

c. Bn knh nh hng ca ging bmQ=2 2 k (h 2 hhk ) k (h 2 hhk ) R R 8.2 *(13.22 9.7 2 ) ln( ) = ln( ) = R = 149.7 m R rhk Q 0.2 312 ln( ) rhk

Bi tp 6.8 a. Bn knh tng ng: r02 = ab r0 =ab 40*50 = = 25.2 m


Trang 18

TS BI TRNG SN b. Bn knh tng tc dng ca ging bmR0 = R + r0 = 10 S K + r0 =10*6* 13.8 +25.2 = 248 m

Bi tp 6.12

HK1

HK2

HK3

Q S1

A

HK4a. H s thm ca lp cha nc:

HK5

HK6272 + 162 = 31.38m

r1 = r2 = r4 = r5 = 0.5* 322 + 182 = 18.35m, r = r = 3 6 SQS 1 = =

nQ0 nQ0 1 1 (ln R0 ln(r ...r6 )) k = (ln R0 ln(r ...r )) 1 1 6 2 kM n 2 SQS 1 M n

6 *310 1 (ln190 ln(18.354 *31.382 )) = 12.67 2 * 4.2 *12 6

(m/ngy m) b. h thp mc p lc ti A:r1 = r4 = 362 + 162 = 39.4m, r2 = r5 = 182 + 162 = 24.1m, r3 = r6 = 16m SA = nQ0 1 6 *310 1 (ln R0 ln( r1 ...r6 )) = (ln190 ln(39.42 * 24.12 *162 )) = 3.97 m 2 kM n 2* *12.67 *12 6

c. su o ti a:3.97m

h11.03m


Trang 19

TS BI TRNG SN

cho h mng khng b bc l trng lng ca tng cch nc p lc y ngc ca nc p lc (15 h) 11.03*10 h 8.1m hmax = 8.1m

Bi tp 6.13 a. Lu lng n v dng thm:h1 = 18.5 6.5 = 12m, h2 = 10.3 6.5 = 3.8m2 k (h12 h2 ) 15*(122 3.82 ) q= = 6.94 2 L1 2*140

(m2/ngy m)K tb = L1 + L2 2 + 140 = = 8.875 L1 L2 2 140 (m/ngy m) + + K1 K 2 0.3 15

b. Lu lng n v dng thm:2 k (h02 h2 ) 8.875*(12 2 3.82 ) q= = 4.05 (m/ngy m) 2( L1 + L2 ) 2*(140 + 2)

gim lng mt nc:= q1 q2 6.94 4.05 *100% = *100% = 41.6% q1 6.94

Bi tp 6.14 p dng cng thc:d2 2 2 a l H 4 * l *ln( H ) = d * l *ln( H ) = 2 * 10 * ln( 60 ) = 0.03cm / s K = * * ln( )= D2 t A t H S H S D2 t H S 52 60 60 40 4 = 25.92

(m/ngy m)


Trang 20

TS BI TRNG SN

Chng

7

Bi tp 7.1 H s ng t Kc:Kc = a = g A 4 2 4 2 35 2 T 2 = 0.5 = 0.563 g 9810

Bi tp 7.2

deltaH h L A

Xt ti im A: ng sut tng: = sat L + h w

p lc nc l rng:u = w ( L + h + H ) ' = u = ( sat w ) L w H

Ct trong bnh si ln khi = 0 w (Gs + e) 2.66 + 0.68 w )L ( 1) *0.4 ( w ) L 1+ e H = sat = = 1 + 0.68 = 0.395m w w 1(

Bi tp 7.4 Bn knh tng ng:r0 = ab 9*11 = = 5.6 m


Trang 21

TS BI TRNG SN Lu lng khi tho kh hon ton:dH 2 kMH 2* *5*3*7 Q = kiA = k 2 rM Q dr = 2 kM dH Q = = = 709 R 14.2 (m3/ngy m) dr r0 0 ln( ) ln( ) r0 5.6R H

Gradient ti hn:ith =

sub s 1 2.661 1 = = = 0.946 w (1 + e) w 1 + 0.755H H = L R r 2o max

Gradient thc t trong iu kin an ton nht:itt =

y r c th l r hay a hay b, nhng ta chn b iitt = H R b 2 = 7 14.2 11 2 = 0.8

(nguy him nht)

Bi tp 7.5 Bn knh tng ng:r0 = ab 8.5*10 = = 5.2 m

Lu lng khi tho kh hon ton:Q = kiA = k dh kh 2 *5.2 *5.52 2 rh Q dr = 2 k hdh Q = = = 499 3 R 14 (m /ngy m) dr r0 0 ln( ) ln( ) r0 5.2R H

Gradient ti hn:ith =

sub sat w 1.837 1 = = = 0.837 w w 1

Gradient thc t trong iu kin an ton nht:itt = h R b 2 = 5.5 = 0.61 10 14 2


TS BI TRNG SN Tra bng 7.11 ta c vn tc trung bnh cho php khng xi ca t dnh Vox = 1.1m/s V = 1.2m/s > Vox = 1.1m/s y sng b xi mn Bi tp 7.7 Tra bng 7.10 ta c vn tc trung bnh cho php khng xi ca t ctVcp = Vod d1 6 1 6 1 6

* h = 0.65*5 = 0.85 m / s

Bi tp 7.8 dc s b ca mi taluy:tg = tg + c 35 = tg (140 ) + = 0.638 = 32032 ' h 18*5

Chng

8


TS BI TRNG SN Sc khng ct khng thot nc ca t:cu = M max 0.023 = =11.5 KPa 2 3 2 d h d 0.08 *0.172 0.083 ( + ) ( + ) 2 6 2 6

Bi tp 8.3 Modun bin dng ca t nn:E = (1 2 ) d p 142 = (1 0.352 ) *0.79 *0.28* = 712KPa S 0.0387

ln ca mng c b rng Bf = 2mSf B f (B p + 30) 200*(28 + 30) = = S f = 125.6mm S p B p ( B f + 30) 28*(200 + 30) 2 2

Bi tp 8.4 Kch thc mng:25 S f 2B 7.5 = 3.14m = B= = S p B + 0.3 Sf 25 2 2 7.5 Sp2

0.3

Sf

Sp

0.3


Trang 24

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Docx 20111028 Bai Tap Dia Chat Cong Trinh