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PROIECT FUNDATII

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PROIECT  FUNDATII



                   TEMA PROIECT

            A1: ¨Pentru protejarea unui obiectiv industrial impotriva inundatiilor, se cere executarea unui dig de pamant cu urmatoarele caracteristici geometrice si geotehnice:

                                                                                    q

                                                                              

                                                                      

           

      h1                                                          Strat 1

        h2                                                          Strat 2

                                    l2             b      l1               d              l1       b          l2

d = 2,5 m

b = 1,20 m

q = 10 KN/m2

h1 = 4,5 m + 0,1*Ng = 4,5 + 0,1 = 4,6 m

h2 = 4,5 m – 0,1*Ng = 4,5 – 0,1 = 4,4 m

unde Ng=5

Caracteristici

U.M.

Valoare

gS1

KN/m3

26,5

n1

%

32

w1

%

10

Ζ1

Grade

16

C1

DaN/cm2

0,40

gS2

KN/m3

27,20

n2

%

35

w2

%

15

Ζ2

Grade

25

c2

daN/cm2

0,15

                   PROIECTUL CUPRINDE:

A: ¨PIESE SCRISE: - Predimensionarea pantelor.

       - Verificarea stabilitatii digului in ipoteza suprafetelor de lunecare                           

                                  cilindrice – prin metoda fasiilor.

B: ¨PIESE DESENATE: - Sectiune verticala prin dig( planse de executie); Scara 1:200.

                                    - Sectiune cu schema de calcul( impartirea in fasii); Scara 1:50     

                                       sau 1:100.

                                    - Graficul coeficientului de siguranta si determinarea coeficientului 

                                       de siguranta minima.

                        ETAPE DE CALCUL

1)      Calculul pantelor de taluz stabil cu metoda Maslov:

      t

     


  C

                                       s

                                 

tf = s*tgΖ + c

tf/s = tgΖ + c/s  (1)

tf/s = tgy

tgy = tgΖ + c/s    (2)

2)      Calculul efortului unitar normal s: Maslov considera ca in conditiile echilibrului limita tensiunile s din expresia (2) sunt date de greutatea coloanei de pamant.

s = g*h

s1 = g1*h1 + q

s1 = 19,82*5 + 10 = 109.1 KN/m2

s2 = g1*h1 + g2*h2 + q

s2 = 19,82*5 + 20,33*4 + 10 = 190,42 KN/m2

g1 = (1 - n1)*(1 + w1)*gS1

g1 = (1 – 0,32)*(1 + 0,1)*26,5 = 19,82 KN/m3

g2 = (1 – n2)*(1 + w2)*gS2

g2 = (1 – 0,35)*(1 + 0,15)*27,20 = 20,33 KN/m3

tgy1 Ϋ   tgy1 = tg16 + (0,40*102)/109,1 = 0,623

tgy2 Ϋ  tgy2 = tg25 + (0,15*102)/190,42 = 0,493

3) Conditia de stabilitate: determinarea factorului de stabilitate si a unghiului de taluz natural b.

tgb1 = tgY1/FS

tgb1 = 0,62/1,1 = 0,566                                                                       

tgb2 = tgY2/FS                                                                                                                             1

tgb2 = 0,49/1,1 = 0,448                                                                                  m                          

FS = 1,1                                                                                                

tgb1 = 1/m1  T  m1 = 1/tgb1   1:m1                                            

tgb2 = 1/m2  T  m2 = 1/tgb2   1:m2

m1 = 1/0,566 = 1.76

m2 = 1/0,448 = 2.23

            T m1 = 1.75

            T m2 = 2.25

                        Calculul suprafetelor de lunecare cilimdrice :

            Suprafata de lunecare numarul 1:

Gi = bi * hi * g1 + bi * hi * g2 + q * 10

GREUTATI  FASII

( KN )

a ( ° )

st.        dr.

l

( m )

G1 = 1.00 * 0.90 * 20.33 = 18.297

36.75



1.20

G2 = 1.00 * 1.75 * 20.33 = 35.578

33.50

1.25

G3 = 1.00 * 2.30 * 20.33 = 46.759

30.00

1.15

G4 = 1.00 * 3.30 * 20.33 = 67.089

26.75

1.15

G5 = 1.00 * 4.75 * 20.33 = 96.568

23.00

1.10

G6 = 1.00 * 5.60 * 20.33 = 113.848

19.75

1.07

G7 = 1.00 * 6.35 * 20.33 = 129.096

16.75

1.05

G8 = 1.00 * 7.05 * 20.33 = 143.327

13.25

1.00

G9 = 1.00 * 7.70 * 20.33 = 156.541

10.00

1.00

G10 = 0.60 * 8.10 * 20.33 = 98.804

8.00

0.60

G11 = 0.60 * 8.15 * 20.33 = 99.414

5.75

0.60

G12 = 1.25 * 0.35 * 19.82 + 1.25 * 8.20 * 20.33 = 217.054

2.50

1.25

G13 = 1.25 * 1.05 * 19.82 + 1.25 * 8.23 * 20.33 = 235.032

1.00

1.25

G14 = 1.25 * 1.80 * 19.82 + 1.25 * 8.20 * 20.33 = 252.978

5.00

1.25

G15 = 1.25 * 2.45 * 19.82 + 1.25 * 8.05 * 20.33 = 265.269

9.00

1.25

G16 = 1.25 * 3.20 * 19.82 + 1.25 * 7.80 * 20.33 = 277.498

12.50

1.30

G17 = 1.25 * 3.90 * 19.82 + 1.25 * 7.50 * 20.33 = 287.216

16.75

1.30

G18 = 1.25 * 4.60 * 19.82 + 1.25 * 7.05 * 20.33 = 293.123

21.00

1.30

G19 = 1.25*5.00*19.82 + 1.25*6.50*20.33 + 1.25*10 = 301.556

25.00

1.40

G20 = 1.25*5.00*19.82 + 1.25*5.85*20.33 + 1.25*10 = 285.038

29.50

1.45

G21 = 1.25 * 4.60 * 19.82 + 1.25 * 5.00 * 20.33 = 241.028

34.50

1.50

G22 = 1.25 * 3.90 * 19.82 + 1.25 * 4.05 * 20.33 = 199.543

39.00

1.60

G23 = 1.25 * 3.20 * 19.82 + 1.25 * 3.00 * 20.33 = 155.518

44.00

1.75

G24 = 0.90 * 2.60 * 19.82 + 0.90 * 1.80 * 20.33 = 79.313

49.00

1.30

G25 = 0.90 * 2.10 * 19.82 + 0.90 * 0.70 * 20.33 = 50.268

53.50

1.60

G26 = 0.80 * 1.25 * 19.82 = 19.82

57.50

1.60

FS1 = 2.423

          Suprafata de lunecare numarul 2 :

Gi = bi * hi * g1 + bi * hi * g2 + q * 10

GREUTATI  FASII

( KN )

a ( ° )

st.        dr.

l

( m )

G1 = 1.00 * 0.80 * 20.33 = 16.264

29.50

1.10

G2 = 1.00 * 1.50 * 20.33 = 30.495

26.50

1.10

G3 = 1.00 * 2.40 * 20.33 = 48.792

23.00

1.05

G4 = 1.00 * 3.25 * 20.33 = 66.073

19.75

1.05

G5 = 1.00 * 4.00 * 20.33 = 81.320

16.50

1.05

G6 = 1.00 * 4.75 * 20.33 = 96.568

13.50

1.10

G7 = 1.00 * 5.40 * 20.33 = 109.782

10.00

1.00

G8 = 1.00 * 6.00 * 20.33 = 121.980

7.00

1.00

G9 = 1.00 * 6.55 * 20.33 = 133.162

4.00

1.00

G10 = 0.60 * 6.80 * 20.33 = 82.946

1.75

0.60

G11 = 0.60 * 6.85 * 20.33 = 83.556

0.25

0.60

G12 = 1.25 * 0.35 * 19.82 + 1.25 * 6.80 * 20.33 = 181.476

2.50

1.20

G13 = 1.25 * 1.05 * 19.82 + 1.25 * 6.70 * 20.33 = 196.278

7.00

1.20

G14 = 1.25 * 1.80 * 19.82 + 1.25 * 6.50 * 20.33 = 209.776

11.00

1.25

G15 = 1.25 * 2.45 * 19.82 + 1.25 * 6.20 * 20.33 = 218.256




14.50

1.30

G16 = 1.25 * 3.20 * 19.82 + 1.25 * 5.85 * 20.33 = 227.943

18.00

1.30

G17 = 1.25 * 3.90 * 19.82 + 1.25 * 5.35 * 20.33 = 232.579

22.75

1.35

G18 = 1.25 * 4.60 * 19.82 + 1.25 * 4.80 * 20.33 = 235.945

27.00

1.40

G19 = 1.25*5.00*19.82 + 1.25*4.05*20.33 + 1.25*10 = 239.296

31.50

1.45

G20 = 1.25*5.00*19.82 + 1.25*3.20*20.33 + 1.25*10 = 217.695

36.00

1.55

G21 = 1.25 * 4.60 * 19.82 + 1.25 * 2.15 * 20.33 = 168.602

41.25

1.65

G22’ = 1.40 * 3.90 * 19.82 + 1.40 * 0.90 * 20.33 = 133.833

46.50

1.85

G23’ = 1.10 * 2.50 * 19.82 = 54.505

53.00

2.15

G24’ = 0.60 * 0.90 * 19.82 = 10.703

57.25

1.20

FS2 = 2.248

          Suprafata de lunecare numarul 3 :

Gi = bi * hi * g1 + bi * hi * g2 + q * 10

GREUTATI  FASII

( KN )

a ( ° )

st.        dr.

l

( m )

G1 = 1.00 * 0.60 * 20.33 = 12.198

21.00

1.00

G2 = 1.00 * 1.20 * 20.33 = 24.396

19.00

1.05

G3 = 1.00 * 1.95 * 20.33 = 39.644

16.00

1.00

G4 = 1.00 * 2.70 * 20.33 = 54.891

13.50

1.00

G5 = 1.00 * 3.35 * 20.33 = 68.106

10.50

1.00

G6 = 1.00 * 3.90 * 20.33 = 79.287

7.25

1.00

G7 = 1.00 * 4.50 * 20.33 = 91.485

4.00

1.00

G8 = 1.00 * 5.00 * 20.33 = 101.650

1.25

1.00

G9 = 1.00 * 5.40 * 20.33 = 109.782

2.00

1.00

G10 = 0.60 * 5.60 * 20.33 = 68.309

4.00

0.60

G11 = 0.60 * 5.58 * 20.33 = 68.004

6.00

0.60

G12 = 1.25 * 0.35 * 19.82 + 1.25 * 5.55 * 20.33 = 149.711

9.00

1.25

G13 = 1.25 * 1.05 * 19.82 + 1.25 * 5.20 * 20.33 = 158.159

12.25

1.25

G14 = 1.25 * 1.80 * 19.82 + 1.25 * 4.90 * 20.33 = 169.116

16.50

1.30

G15 = 1.25 * 2.45 * 19.82 + 1.25 * 4.45 * 20.33 = 173.784

20.50

1.30

G16 = 1.25 * 3.20 * 19.82 + 1.25 * 3.90 * 20.33 = 178.389

24.50

1.40

G17 = 1.25 * 3.90 * 19.82 + 1.25 * 3.25 * 20.33 = 179.213

29.00

1.45

G18 = 1.25 * 4.60 * 19.82 + 1.25 * 3.50 * 20.33 = 202.909

33.00

1.50

G19 = 1.25*5.00*19.82 + 1.25*1.60*20.33 + 1.25*10 = 177.035

38.00

1.60

G20’’= 1.10*5.00*19.82 + 1.10*0.50*20.33 + 1.10*10 = 131.192

42.50

1.60

G21’’ = 0.15 * 4.95 * 19.82 + 0.15 * 10 = 16.216

45.00

0.20

G22’’ = 1.25 * 3.80 * 19.82  = 94.145

49.00

1.90

G23’’ = 1.35 * 1.85 * 19.82  = 49.500

53.50

2.35

FS3 = 2.067

          Suprafata de lunecare numarul 4 :

Gi = bi * hi * g1 + bi * hi * g2 + q * 10

GREUTATI

( KN )

a ( ° )

st.        dr.

l

( m )

G1 = 1.00 * 0.50 * 20.33 = 10.165

15.50

1..0

G2 = 1.00 * 1.05 * 20.33 = 21.347

12.50

1.00

G3 = 1.00 * 1.70 * 20.33 = 34.561

10.00

1.00

G4 = 1.00 * 2.30 * 20.33 = 46.759

7.00



1.00

G5 = 1.00 * 4.80 * 20.33 = 56.924

4.00

1.00

G6 = 1.00 * 3.30 * 20.33 = 67.089

1.00

1.00

G7 = 1.00 * 3.75 * 20.33 = 76.238

1.25

1.00

G8 = 1.00 * 4.15 * 20.33 = 84.370

5.00

1.00

G9 = 1.00 * 4.50 * 20.33 = 91.485

7.00

1.00

G10 = 0.60 * 4.60 * 20.33 = 56.111

7.25

0.60

G11 = 0.60 * 4.50 * 20.33 = 54.891

11.50

0.60

G12 = 1.25 * 0.35 * 19.82 + 1.25 * 4.25 * 20.33 = 116.674

14.00

1.25

G13 = 1.25 * 1.05 * 19.82 + 1.25 * 3.85 * 20.33 = 123.852

18.00

1.30

G14 = 1.25 * 1.80 * 19.82 + 1.25 * 3.40 * 20.33 = 130.998

21.50

1.35

G15 = 1.25 * 2.45 * 19.82 + 1.25 * 2.80 * 20.33 = 131.854

26.00

1.40

G16 = 1.25 * 3.20 * 19.82 + 1.25 * 2.20 * 20.33 = 135.188

29.50

1.45

G17 = 1.25 * 3.90 * 19.82 + 1.25 * 1.40 * 20.33 = 132.200

34.00

1.50

G18’’’ = 1.10 * 5.10 * 19.82 + 1.10 * 0.50 * 20.33 = 122.372

39.00

1.45

G19’’’ = 0.15 * 4.90 * 19.82 = 14.568

41.50

0.15

G20’’’ = 1.25 * 4.30 * 19.82 +1.25 * 10 = 119.033

44.00

1.70

G21’’’ = 1.25 * 3.10 * 19.82 + 1.25 * 10 = 89.303

49.00

2.00

G22’’’ = 1.10 * 1.50 * 19.82 = 32.703

54.50

1.90

FS4 = 2.130

          Suprfata de lunecare numarul 5 :

Gi = bi * hi * g1 + bi * hi * g2 + q * 10

GREUTATI  FASII

( KN )

a ( ° )

st.        dr.

l

( m )

G1 = 1.00 * 0.40 * 20.33 = 8.132

8.00

1.00

G2 = 1.00 * 0.80 * 20.33 = 16.264

5.50

1.00

G3 = 1.00 * 1.40 * 20.33 = 28.462

3.00

1.00

G4 = 1.00 * 1.80 * 20.33 = 36.594

0.10

1.00

G5 = 1.00 * 2.25 * 20.33 = 45.743

2.25

1.00

G6 = 1.00 * 2.60 * 20.33 = 52.858

5.00

1.00

G7 = 1.00 * 2.90 * 20.33 = 58.957

8.00

1.00

G8 = 1.00 * 3.20 * 20.33 = 65.056

10.25

1.00

G9 = 1.00 * 3.40 * 20.33 = 69.122

13.00

1.00

G10 = 0.60 * 3.50 * 20.33 = 42.693

15.25

0.60

G11 = 0.60 * 3.30 * 20.33 = 40.253

17.00

0.65

G12 = 1.25 * 0.35 * 19.82 + 1.25 * 3.00 * 20.33 = 84.909

19.50

1.30

G13 = 1.25 * 1.05 * 19.82 + 1.25 * 2.45 * 20.33 = 88.274

23.50

1.35

G14 = 1.25 * 1.80 * 19.82 + 1.25 * 1.85 * 20.33 = 91.608

27.00

1.40

G15 = 1.25 * 2.45 * 19.82 + 1.25 * 1.15 * 20.33 = 89.923

31.00

1.50

G16 = 1.00 * 3.10 * 19.82 + 1.10 * 0.40 * 20.33 = 69.574

35.00

1.25

G17 = 0.25 * 3.40 * 19.82 = 16.847

37.00

0.30

G18 = 1.25 * 3.20 * 19.82 = 79.280

39.50

1.60

G19 = 1.25 * 2.80 * 19.82 = 69.370

44.00

1.80

G20 = 1.25 * 1.70 * 19.82 + 1.25 * 10 = 54.618

49.75

2.00

G21 = 0.70 * 0.50 * 19.82 + 0.70 * 10 = 13.937

54.00

1.20

FS5 = 2.995








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