Calcul_hidraulic

DIMENSIONAREA HIDRAULICA A PODULUICalculele hidraulice au fost intocmite in conformitate cu Normativul privind proiectarea hidraulica a podurilor si podetelor, indicativ PD 95-2002. 1. Determinarea nivelurilor in regim natural de curgere pentru debitul de calcul cu asigurarea de 5 % PROFIL TRANSVERSAL 7 - AVAL POD (Calcul nivel apa in albie minora si majora in regim liber) Panta hidraulica, i = 0.010000 Coeficient de rugozitate albie minora, n m = 0.040 Coeficient de rugozitate albie majora, n M = 0.067 hNivel apa [m] 0.30

Albiem/M m Mst Mdr m Mst Mdr m Mst Mdr m Mst Mdr m Mst Mdr

A[m2] 3.4965 0.0000 0.0000 8.9296 0.0000 0.0000 16.8512 0.0000 0.0000 29.9104 0.2586 0.2303 40.9513 1.5867 15.4194

P[m] 17.4590 0.0000 0.0000 18.9757 0.0000 0.0000 21.1688 0.0000 0.0000 22.6809 1.5588 1.5180 22.6809 4.0818 30.4980

R[m] 0.20 0.00 0.00 0.47 0.00 0.00 0.80 0.00 0.00 1.32 0.17 0.15 1.81 0.39 0.51

C=(1/n)R[m0.5/s] 19.02 0.00 0.00 21.99 0.00 0.00 24.05 0.00 0.00 26.20 11.00 10.83 27.64 12.71 13.29

1/6

Q[m3/s] 2.98 0.00 0.00 13.47 0.00 0.00 36.16 0.00 0.00 90.01 0.12 0.10 152.10 1.26 14.57

Q TOTAL[m3/s] 2.98

0.60

13.47

1.00

36.16

1.60

90.22

2.10

167.93

CHEIE LIMNIMETRICA AVAL POD PROFIL 72.6 2.4

Cota suprafata libera apa [m]

2.2 2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180

Debit total, QTOTAL[m3/s]

Qc=

159

[m3/s] NIVEL APA Cota talveg 452.57

2.05

[m] Cota nivel apa in regim liber 454.62

PROFIL TRANSVERSAL 6 AVAL POD (Calcul nivel apa in albie minora si majora in regim liber)Panta hidraulica, i = 0.009687 Coeficient de rugozitate albie minora, n m = 0.040 Coeficient de rugozitate albie majora, n M = 0.067 hNivel apa [m] 0.30


A[m2] 2.1599 0.0000 0.0000 7.2507 0.0000 0.0000 14.3333 0.0345 0.0000 25.0720 1.0893 0.6042 35.8107 3.8988 24.2258

P[m] 14.4132 0.0000 0.0000 17.7312 0.0000 0.0000 18.5359 0.5470 0.0000 18.5474 3.1004 2.1315 18.5474 6.4932 46.9329

R[m] 0.15 0.00 0.00 0.41 0.00 0.00 0.77 0.06 0.00 1.35 0.35 0.28 1.93 0.60 0.52

C=(1/n)R[m0.5/s] 18.11 0.00 0.00 21.47 0.00 0.00 23.93 9.33 0.00 26.31 12.49 12.05 27.96 13.69 13.34

1/6

Q[m3/s] 1.49 0.00 0.00 9.80 0.00 0.00 29.69 0.01 0.00 75.50 0.79 0.38 136.93 4.07 22.85

Q TOTAL[m3/s] 1.49

0.60

9.80

1.00

29.69

1.60

76.67

2.20

163.84

CHEIE LIMNIMETRICA AVAL POD PROFIL 62.4 2.2


2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180


Qc=

159


2.18


PROFIL TRANSVERSAL 5 - AVAL POD (Calcul nivel apa in albia minora si majora in regim liber)Panta hidraulica, i = 0.005878 Coeficient de rugozitate albie minora, n m = 0.040 Coeficient de rugozitate albie majora, n M = 0.067 hNivel apa [m] 0.50


A[m2] 2.2970 0.0000 0.0000 11.0284 0.0000 0.0000 22.9223 0.0000 0.0000 35.6614 0.0000 0.0491 50.8854 0.4432 1.4183

P[m] 9.2504 0.0000 0.0000 18.8095 0.0000 0.0000 21.4592 0.0000 0.0000 22.7919 0.0000 0.6342 23.0932 1.9810 3.4086

R[m] 0.25 0.00 0.00 0.59 0.00 0.00 1.07 0.00 0.00 1.56 0.00 0.08 2.20 0.22 0.42

C=(1/n)R[m0.5/s] 19.73 0.00 0.00 22.83 0.00 0.00 25.28 0.00 0.00 26.98 0.00 9.66 28.59 11.57 12.86

1/6

Q[m3/s] 1.73 0.00 0.00 14.78 0.00 0.00 45.92 0.00 0.00 92.26 0.00 0.01 165.59 0.19 0.90

Q TOTAL[m3/s] 1.73

1.10

14.78

1.70

45.92

2.30

92.27

3.00

166.68

CHEIE LIMNIMETRICA AVAL POD PROFIL 53.2 3 2.8


2.6 2.4 2.2 2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180


Qc=

159


2.94


PROFIL TRANSVERSAL 4 - AX POD (Calcul nivel apa in albia minora si majora in regim liber)Panta hidraulica, i = 0.010409 Coeficient de rugozitate albie minora, n m = 0.040 Coeficient de rugozitate albie majora, n M = 0.067 hNivel apa [m] 0.40


A[m2] 2.4574 0.0000 0.0000 8.7760 0.0000 0.0000 17.2544 0.0692 0.0118 29.2127 1.5189 1.4232 37.7543 3.8670 3.8715

P[m] 12.3150 0.0000 0.0000 17.0991 0.0000 0.0000 17.9312 0.7531 0.3433 17.9312 3.5275 3.7759 17.9312 6.1679 6.2277

R[m] 0.20 0.00 0.00 0.51 0.00 0.00 0.96 0.09 0.03 1.63 0.43 0.38 2.11 0.63 0.62

C=(1/n)R[m0.5/s] 19.01 0.00 0.00 22.32 0.00 0.00 24.84 9.95 8.42 27.16 12.93 12.64 28.37 13.79 13.77

1/6

Q[m3/s] 2.13 0.00 0.00 14.32 0.00 0.00 42.89 0.02 0.00 103.33 1.32 1.13 158.58 4.31 4.29

Q TOTAL[m3/s] 2.13

0.80

14.32

1.30

42.91

2.00

105.77

2.50

167.18

CHEIE LIMNIMETRICA AX POD PROFIL 42.8 2.6 2.4


2.2 2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180


Qc=

159


2.44


PROFIL TRANSVERSAL 3 - AMONTE POD (Calcul nivel apa in albia minora si majora in regim liber)Panta hidraulica, i = 0.009758 Coeficient de rugozitate albie minora, n m = 0.040 Coeficient de rugozitate albie majora, n M = 0.067 hNivel apa [m] 0.40


A[m2] 3.6463 0.0000 0.0000 9.9088 0.0681 0.0000 18.4907 0.0000 0.0000 32.4209 0.2833 0.1103 42.7277 6.3600 1.1810

P[m] 15.2050 0.0000 0.0000 16.5160 1.1317 0.0000 18.9919 0.0000 0.0000 21.3844 1.5390 1.0263 21.3844 26.5284 3.3587

R[m] 0.24 0.00 0.00 0.60 0.06 0.00 0.97 0.00 0.00 1.52 0.18 0.11 2.00 0.24 0.35

C=(1/n)R[m0.5/s] 19.61 0.00 0.00 22.92 9.26 0.00 24.89 0.00 0.00 26.83 11.19 10.22 28.12 11.71 12.50

1/6

Q[m3/s] 3.46 0.00 0.00 17.38 0.02 0.00 44.85 0.00 0.00 105.81 0.13 0.04 167.78 3.60 0.86

Q TOTAL[m3/s] 3.46

0.80

17.39

1.30

44.85

2.00

105.98

2.50

172.25

CHEIE LIMNIMETRICA AMONTE POD PROFIL 32.6 2.4 2.2


2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180


Qc=

159


2.42




A[m2] 4.3432 0.0000 0.0000 10.7712 0.0000 0.0000 19.0538 0.1989 0.1892 30.6773 2.0004 1.9227 38.1496 7.3288 4.0346

P[m] 15.9566 0.0000 0.0000 16.9816 0.0000 0.0000 17.4128 1.2184 1.2253 17.4128 4.2001 3.9055 17.4128 19.2291 5.8059

R[m] 0.27 0.00 0.00 0.63 0.00 0.00 1.09 0.16 0.15 1.76 0.48 0.49 2.19 0.38 0.69

C=(1/n)R[m0.5/s] 20.04 0.00 0.00 23.14 0.00 0.00 25.39 10.97 10.86 27.53 13.16 13.23 28.57 12.67 14.03

1/6

Q[m3/s] 4.34 0.00 0.00 18.96 0.00 0.00 48.34 0.08 0.08 107.09 1.74 1.71 154.12 5.48 4.51

Q TOTAL[m3/s] 4.34

0.80

18.96

1.30

48.50

2.00

110.53

2.45

164.10



2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180


Qc=

159


2.42




A[m2] 2.9462 0.0000 0.0000 9.6486 0.0000 0.0000 18.7934 0.0000 0.0000 32.5560 0.1794 0.7213 43.4745 1.7045 2.8701

P[m] 14.7549 0.0000 0.0000 17.7136 0.0000 0.0000 19.6178 0.0000 0.0000 20.5358 1.3560 2.4423 20.5358 4.5115 5.8115

R[m] 0.20 0.00 0.00 0.54 0.00 0.00 0.96 0.00 0.00 1.59 0.13 0.30 2.12 0.38 0.49

C=(1/n)R[m0.5/s] 19.01 0.00 0.00 22.55 0.00 0.00 24.82 0.00 0.00 27.04 10.58 12.13 28.40 12.65 13.24

1/6

Q[m3/s] 2.24 0.00 0.00 14.35 0.00 0.00 40.79 0.00 0.00 99.03 0.06 0.42 160.53 1.18 2.39

Q TOTAL[m3/s] 2.24

0.80

14.35

1.30

40.79

2.00

99.52

2.55

164.10



2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180


Qc=

159


2.51


2. Determinarea caracteristicilor de curgere a apelor in regim liber Nivelurile in regim natural sunt determinate corect daca debitul scurs nu prezinta o abatere mai mare de +5% sau -2% fata de debitul dat. Q5%= 159 m3/s 0.98% din Q5%=155.82 m3/s 1.05% din Q5%=166.95 m3/s C=(1/n)xR1/6[m /s] 28.31 12.55 13.16 28.50 12.51 13.98 27.93 11.11 12.25 28.24 13.69 13.65 28.47 11.30 12.70 27.91 13.65 13.26 27.51 12.65 13.080,5

hNivel apa [m] Profil 1 Amonte pod 427.28 Profil 2 Amonte pod 456.86 Profil 3 Amonte pod 456.38 Profil 4 Ax pod 455.92 Profil 5 Aval pod 455.36 Profil 6 Aval pod 455.05 Profil 7 Aval pod 454.62

panta[%] 0.7985 0.9129 0.9758 1.0409 0.5878 0.9687 1.0000

Albiem/M m Mst Mdr m Mst Mdr m Mst Mdr m Mst Mdr m Mst Mdr m Mst Mdr m Mst Mdr

A[m ] 42.68 1.53 2.65 37.35 6.76 3.87 41.08 4.33 0.93 36.73 3.52 3.51 49.58 0.34 1.23 35.45 3.77 23.29 39.85 1.40 13.912

P[m] 20.54 4.25 5.55 17.41 19.08 5.68 21.38 24.54 2.99 17.93 5.85 5.93 23.09 1.72 3.17 18.55 6.38 46.72 22.68 3.69 30.27

R[m] 2.08 0.36 0.48 2.16 0.35 0.68 1.92 0.18 0.31 2.05 0.60 0.59 2.15 0.19 0.39 1.91 0.59 0.50 1.76 0.38 0.46

v[m/s] 3.65 0.67 0.81 4.00 0.71 1.10 3.82 0.46 0.68 4.12 1.08 1.07 3.20 0.38 0.61 3.80 1.03 0.92 3.65 0.78 0.89

Q[m /s] 155.66 1.03 2.15 150.77 4.81 4.26 157.11 1.99 0.63 151.46 3.81 3.77 158.55 0.13 0.74 134.65 3.90 21.47 145.32 1.09 12.333

QTOTAL[m3/s] 158.84 159.85 159.73 159.04 159.42 160.01 158.73

Rezulta Nivel

pod

= 455.92

3. Verificarea luminii podului L: Se propune un pod cu o deschidere L = 22.50m. o AMps = 2.6458 m2 o hMps = 1.00 m AMpd = 2.5131 m2 hMpd = 0.95 m

Se verifica lungimea aleasa cu relatia:

L = Bm +verifica

AMps hMps

+

AMpd hMpd

= 17.08 +

2.6458 2.5131 + = 22.37m 1.00 0.95

Lungimea

aleasa

se

- lumina totala L =22.50m o VmL = 4.12 m/s L=22.50m => = 0.93 (conform tabel 6.1) o

= = 0.93

Pentru determinarea coeficientului de afuiere se foloseste relatia: Q = 159.00 m3/s Qm = 151.46 m3/s vm = 4.12 m/s AMps = 2.6458 m2 AMpd = 2.5131 m2 vMps = 1.08 m/s vMpd = 1.07 m/s

AMps =

Q m Qm E v ( m E 1) + vMd AMpd m vMs + vm ( m E 1) vm ( m E 1) + vMsPD 95-2002) pentru evitarea unor constructii de aparare sau dirijare.

E=1.0877 < E lim =1.4 (condiia de verificare (cf art 42 punctul 3 din Normativ

4. Calculul afuierilor 4.1. Calculul afuierilor generale

vmp = E vmL vmp = 1.0877 4.12 4.48m / s vmL v 4.48 haf = mp h = 2.44 = 1.0877 2.44 = 2.65m vmL 4.12 v mp viteza medie a apei in albia minora in sectiunea podului

E=

vmp

v mL viteza medie in regim natural in albia minora h adancimea apei intr-un punct al sectiunii de scurgere, inainte de afuiere af gmax = haf h = 2.65 2.44 = 0.21m

4.2. Calculul afuierilor locale Conform Studiului geotehnic privind proiectul: Pod peste Raul Targului, Sat Lazaresti Punctul Oceni, comuna Schitu Golesti, judetul Arges raul targului curge pe marna deci teoretic nu se produc afuieri. Pentru calcul vom considera pamantul care constituie patul albiei conform Normativ PD 95-2002 este Argila cu compactitate mare

g=1.8 t/m3.

Adancimea medie a apei este hmed = 2.00m => va = 1.50m/s Viteza medie a apei in dreptul culeei => v=1.08m/s

2 v va 2 cand v k = 1.00

g acceleratia gravitationala 9.81 m/s2 2 1.08 1.5 af l = 2.42 1.25 1.00 1.00 1 9.81 1.00 1.50 1/ 3

= 0.81m

4.3 Afuierile totale

af tot = af g + af l = 0.21 + 0.81 = 1.02m

5. Calculul suprainaltarilor de nivel (remuu) Calculul al suprainaltarilor de nivel (remuu) se face cu relatia:

z =

vmp vm2

2

2 g

=

4.482 4.12 2 = 0.16m 2 9.81

Lungimea pe care se intinde suprainaltarea de nivel se determina aproximativ si acoperitor cu formula:

Lz =

2 z 2 0.16 = = 32.80m i 0.009758

i panta suprafetei libere a apei, corespunzatoare debitului pentru care s-a calculat suprainaltarea Dz.

6. Determinarea cotei minime a intradosului suprastructurii

Nivel pod = 455.92Rezulta inaltimea libera sub pod = 457.02 455.92 = 1.10 m. ( valoarea minima prevazuta in normativul PD 95-2002, pentru poduri (constructii definitive) peste cursuri de apa cu debite Qc

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