Viga De Cimentación Flexible O Flotante

 VIGA DE CIMENTACIÓN CIMENTACIÓN FLEXIBLE O FL FLOTANTE OTANTE DATOS: f´c = fy =

sT

=

Ko = NPT = Df = S/C =

210 Kg/cm² 4200 Kg/cm² 2.2 Kg/m² 5000 Tn/m³ 0.25 m 1.7 m 400 kg/m²

Columna 1 PD = PL =

Columna 2

40.0 Tn 25.0 Tn

PD = PL =

Columna 3

60.0 Tn 35.0 Tn

PD = PL =

45.0 Tn 30.0 Tn

MDx =

2.8 Tn - m

MDx =

2.0 Tn - m

MDx =

3.2 Tn - m

MLx = MDy =

1.4 Tn - m 2.2 Tn - m

MLx = MDy =

1.2 Tn - m 2.1 Tn - m

MLx = MDy =

1.8 Tn - m 2.4 Tn - m

MLy =

1.5 Tn - m

MLy =

1.3 Tn - m

MLy =

1.7 Tn - m

0.40 C1

0.40 C2 5.00 m

0.40

6.00 m

12.20 m 0.45 m

1.00 m

0.40

1.40 m

SOLUCIÓN:  Verificación de la la Rigidez:

m

C3

Lm =

5.90 m

Kc = 2.2*K750*((b+300)/2*b))² Kc =

4054.85 Ton/m

I = 1.75*(4*E*I/Kc*b)¼ = Lm =

5.90

0.0611

m⁴

5.44

m

>

5.44

\

Cimentación Flexible

Cálculo de la Elástica: L = (4*E*I/Kc*b)¼ L =

3.11

m

M1

M2

P1

M3

P2

0.2

5.40

Para P1:

m

P3 6.40

m

0.2

fig.

lL = lR =

0.06 3.86

GT-15

0.06

3.86

lL = lR =

1.80 2.12

GT-25

1.80

2.12

lL = lR =

3.86 GT-15

3.86

0.06

lL = lR =

0.06 3.86

GT-26

0.06

3.86

lL = lR =

1.80 2.12

GT-27

1.80

2.12

lL = lR =

3.86 0.06

GT-26

3.86

0.06

Para P2:

Para P3: 0.06

Para M1:

Para M2:

Para M3:

Determinación de los Coeficientes de esfuerzos del Terreno: P1

P2

0.2 1

5.40 2

m

6.40

3

Debido a:

4

GT-15

GT-25

P1

P2

0.00

l=

0.00

5 GT

P

0.00

l=

1.74

l=

s =

2.00 29.85

s =

0.04 0.87

s =

l=

0.87

l=

0.87

l=

s =

0.40 5.97

s =

0.31 6.76

s =

l=

1.74

l=

0.00

l=

s =

-0.15 -2.24

s =

0.53 11.56

s =

l=

2.77

l=

1.03

l=

s =

-0.15 -2.24

s =

0.30 6.55

s =

l=

3.79 0.00

l=

2.06 -0.10

l=

s =

0.00

s =

-2.18

s =

Determinación de los Coeficientes de Momentos de Flexión: P1

Debido a:

 M1 = M7  M2

P2

0.00

l=

0.00

0.00

l=

0.00

 M3

0.00

M =

-2.95

M =

l=

0.87

l=

0.87

l=

-0.005

M =

-62.67

M =

-1.48

M =

l=

1.74

l=

0.00

l=

0.25

M =

-30.33

M =

73.87

M =

l=

2.77

l=

1.03

l=

-0.05

 M6

l=

M =

-0.15

 M5

1.74 -0.01

-0.31

 M4

P

0.01

M =

-10.11

M =

2.95

M =

l=

3.79

l=

2.06

l=

0.00

-0.004

0.00

M =

M =

-1.18

M =

Determinación de los Coeficientes de Esfuerzos Cortantes: P1

Debido a:

 V1 = V7  V2

P2

0.00

l=

0.00

l=

0.00 -1.00

 V3

V =

-65.00

V =

3.80

V =

l=

0.87

l=

0.87

l=

-0.10

V =

8.45

V =

-9.50

V =

l=

1.74

l=

0.00

l=

0.20

 V5

0.50

V =

13.00

V =

47.50

V =

l=

2.77

l=

1.03

l=

0.00

 V6

l=

1.74 0.04

0.13

 V4

P

0.00

V =

0.00

V =

0.00

V =

l=

3.79

l=

2.06

l=

0.00

0.00

0.00

V =

V =

0.00

V =

Determinación del Refuerzo Longitudinal: Punto 2: Mu =

8708.79 Kg-m

d = a =

90.75 cm 18.15 cm

b =

45 cm

ab =

0.01

As =

2.82

Asmin =  0.7*(f´c/fy)*bw*d cm² Asmin = 9.86

USAR :

Punto 3:

2

 Φ Nº

6

As =

9.66

+ cm2

Mu =

51089.51 Kg-m

d =

90.75 cm

a =

18.15 cm

b =

140.00 cm

USAR :

6

ab =

0.03

As =

16.55

 Φ Nº

6

As =

17.10

cm2

Punto 4: Mu =

26801.31 Kg-m

d =

90.75 cm

a =

18.15 cm

b =

45.00 cm

ab =

0.05

As =

8.68

Asmin =  0.7*(f´c/fy)*bw*d cm² Asmin = 9.86

USAR :

2

 Φ Nº

6

As =

9.66

+ cm2

Punto 5: Mu =

70665.63 Kg-m

d =

90.75 cm

a =

18.15 cm

b =

140.00 cm

ab =

0.04

As =

22.89

USAR :

3

 Φ Nº

8

As =

23.75

+ cm2

Punto 5: Mu =

13193.82 Kg-m

d =

90.75 cm

a =

18.15 cm

b =

45.00 cm

ab =

0.02

As =

4.27

Asmin =  0.7*(f´c/fy)*bw*d cm² Asmin = 9.86

USAR :

2

 Φ Nº

6

As =

9.66

+ cm2

P3 m

0.2 6

7

15

3 0.00

GT-26

GT-27

M1

M2

0.00

l=

0.00

0.00 0.00 2.93

GT-26

 M3

0.00

l=

1.74

s =

-2.00 -1.93

l=

0.87

-0.15 -2.58 2.06

0.00

l=

3.79

s =

-1.50 -1.10

s =

0.00 0.00

l=

0.87

l=

2.93

s =

0.20 0.19

s =

0.40 0.29

s =

0.10 0.11

l=

1.74

l=

0.00

l=

2.06

-0.20 -3.44

s =

0.40 0.39

s =

-0.20 -0.15

s =

0.35 0.40

1.03

l=

2.77

l=

1.03

l=

1.03

s =

0.20 0.19

s =

-0.75 -0.55

s =

0.25 0.29

3.79

0.40 6.89 0.00 2.00

l=

3.79 0.05

l=

2.06 -1.50

l=

0.00 -2.00

34.45

s =

0.05

s =

-1.10

s =

-2.30

3

M1

0.00 3.79

M2

0.00

l=

0.00

0.00

 M3

0.00

l=

1.00

1.74

0.00

l=

0.00

3.79 -0.09

0.00

M =

13.06

M =

0.00

M =

-1.40

2.93

l=

0.87

l=

0.87

l=

2.93

0.02

0.79

0.08

-0.10

3.50

M =

10.32

M =

0.80

M =

-1.56

2.06

l=

1.74

l=

0.00

l=

2.06

-0.10

0.125

0.31

0.12

-23.33

M =

1.63

M =

3.09

M =

1.87

1.03

l=

2.77

l=

1.03

l=

1.03

-0.30

-0.10

0.00

0.50

-69.98

M =

-1.31

M =

0.00

M =

7.78

0.00

l=

3.79

l=

2.06

l=

0.00

0.00

-0.09

0.00

1.00

0.00

M =

3

-1.18

M =

M1

0.00

l=

0.00

M =

M2

0.00

3.79

0.00

 M3

0.00

l=

0.00 0.10

1.74

15.55

0.00

l=

-0.75

0.02 -0.09

0.00

V =

0.42

V =

-2.40

V =

-0.45

2.93

l=

0.87

l=

0.87

l=

2.93

0.00

-0.62

-0.22

0.00

0.00

V =

-2.60

V =

-0.70

V =

0.00

2.06

l=

1.74

l=

0.00

l=

2.06

0.15

-0.35

-0.30

-0.29

11.25

V =

-1.47

V =

-0.96

V =

-1.45

1.03

l=

2.77

l=

1.03

l=

1.03

0.14

-0.04

0.00

-0.63

10.50

V =

-0.17

V =

0.00

V =

-3.15

0.00

l=

3.79

l=

2.06

l=

0.00

-1.00 -95.00

0.02 V =

0.00

0.08

V =

cm

cm2

2

 Φ Nº

5

0.00

0.10 V =

0.50

cm

cm2

cm

cm2

2

cm

cm2

 Φ Nº

5

3

 Φ Nº

6

2

 Φ Nº

5

cm

cm2

TOTAL 0

27.70

10.75

10.75

6.52 27.70

11.12

28.92

TOTAL 0

51.09

8.71

-51.09

26.80 8.71

-70.67

13.19

TOTAL 0 63.63

-63.63

-4.36

67.87 4.36

7.18

-94.42

.45

5.00

3Ø3/4"

3Ø3/4"

1

2Ø3/4"+2Ø5/8"

1

6.52 11.12

28.92

13.19

26.80

94.42

7.18

67.87

.45

6.00

2

3Ø1"

3Ø3/4"

2

2Ø3/4"+2Ø5/8"

.45