DISEÑO DE ZAPATA CONECTADA

DATOS :

2.50 kg/cm²hf = 1.50 mγm = 2.00 Tn/m³s/c piso = 0.40 Tn/m²f 'c = 210 kg/cm²f 'y = 4200 kg/cm²γc = 2.40 Tn/m³

COLUMNA CARGA DIMENSIONESMUERTA (TnVIVA (Tn) LARGO (m) ANCHO (m) SEPARACION(m)

Exterior 35 20 0.40 0.25 6.00Interior 50 35 0.40 0.40

PREDIMENSIONAMIENTO DE LA ZAPATA EXTERIOR

21.6 Tn/m²Combinacion para zapatas1.2 CM + 1.6 CV

55 TnArea de Zapata = 2.20 m²Lado de zapata = 1.48 m

Predimensionamiento de la zapata exterior

LARGO (m) ANCHO (m)1.90 1.20

VIGA DE CONEXIÓN

h = L / 7 = 0.857 0.90 mb = P1/ 31 L 0.29569892 0.40 m

DIMENSIONAMIENTO DE LA ZAPATA EXTERIOR

Wv = 0.864 Tn/ml

61.89 Tn

σ t =

σ n =

P1 =

∑M2 = 0

R N =

A zap = 2.87 m²T = 2.39 mT = 2.4 m

Dimensiones de zapata exteriorLARGO (m) ANCHO (m)

2.40 1.20

DISEÑO DE LA VIGA DE CONEXIÓN

83 Tn

1.21 Tn/ml

93.08 Tn

77.57 Tn/ml

1.09 CONFORME

-28.51 Tn/m²

Ø = 3/4 "

3/8 "r = 5 cmd = 82.14 cm

a As (cm²) a As (cm²) a As (cm²) a As (cm²)18 9.31164137 5.4774361 8.64350069 5.08441217 8.62407931 5.08441217 8.62407931

Usar : 4 Ø 5/8 " 7.92 cm²

0.00262481

0.00333333 UTILIZAR ρ min

12 cm²

Usar : 3 Ø 3/4 " 8.55 cm²2 Ø 5/8 " 3.96 cm²

12.51 cm²

REFUERZO EN LA CARA INFERIOR

P1u =

WVu =

∑M2 = 0

R Nu =

W Nu =

Seccion de momento maximo x 0 < S

x 0 =

M U max =

Ø estribo =

ρ = As / bd =

ρ min =

As =

As = 6.255 cm²

10.952 cm²

Usar : 2 Ø 3/4 " 5.7 cm²3 Ø 5/8 " 5.94 cm²

11.64 cm²

DISEÑO POR CORTE

10.26 Tn

8.63 Tn

10.15 Tn

25.23 Tn CONFORME

DISEÑO DE LA ZAPATA EXTERIOR

38.78 Tn/m

22.41 Tn-m

ρ = 0.004ω = 0.08d = 36.00 cm

Usar h = 65 cm

Ø = 5/8 "r = 7.5 cmd = 55.92 cm

DISEÑO POR CORTE

40.01 Tn

47.07 Tn

51.54 Tn CONFORME

As+ = As

-/ 3 ≡ As -/ 2 > As min

ρ min =

V1u = (W Un - W Vu) (t + d) - P1u

V1u =

V2u = (W Un - W Vu) S - P1u

V2u =

Vu/Ø =

VC =

W Nu =

M u max =

M u = Ø f 'c bd² (1 - 0.59ω)

V ud = WNu (Iv-d)

V ud =

V n =

VC =

DISEÑO POR FLEXION

11.78 cm²

a As (cm²) a As (cm²) a As (cm²) a As (cm²)11.184 11.7796129 2.30972803 10.8252148 2.12259113 10.806751 2.11897079 10.8063944

Usar : 5 Ø 5/8 " @ 0.26 m

REFUERZO TRANSVERSAL

28.08 cm²

Usar : 14 Ø 5/8 " @ 0.17 m

DISEÑO DE LA ZAPATA INTERIOR

-83.64 Tn

-127.16 Tn

3.87 m²

1.97 m

1.70 m

44.00 Tn/m²

15.80 Tn-m

ρ = 0.004ω = 0.08d = 25.40 cm

Usar h = 40 cm

Ø = 5/8 "r = 7.5 cmd = 30.92 cm

VERIFICACION DE PUNZONAMIENTO

A S =

A S Temp =

P 2 efectivo = - P2-P1 - WV IV+ RN

P 2 efectivo =

P 2u efectivo = - P2u-P1u - WVu IVu+ Rnu

P 2u efectivo =

Az =

Lz =

Lz =

W Nu =

M u max =

m = 1.36 mn = 0.71 m

84.75 Tn

99.70 Tn

162.80 Tn CONFORME

VERIFICACION POR CORTE

25.49 Tn

29.99 Tn

40.37 Tn CONFORME

DISEÑO POR FLEXION

15.02 cm²

a As (cm²) a As (cm²) a As (cm²) a As (cm²)6.184 15.0220474 2.0791761 13.9902199 1.93636262 13.9568665 1.93174622 13.955791

Usar : 11 Ø 1/2 " @ 0.16 m

REFUERZO TRANSVERSAL

12.24 cm²

Usar : 10 Ø 1/2 " @ 0.17 m

Vu = PU Z efect - WNu (m) (n)

Vu =

Vn = Vu / Ø =

VC =

Vud = (WNu L) (IV -d)

Vud =

Vn = Vu / Ø =

VC =

A S =

A S Temp =

APROXIMACIONES POR MÉTODO DE NEWTON-RAPHSONAPLICADO A CONVERSION DE PLANTA CUADRADA A RECTANGULAR

A 0.40

a 0.25A=a^2

a

n

a = 1.48 m

n = 1.840582936 m 1.9 m-A

m = 1.1952734957 m 1.2

2.2 2.20 2.28

ITERACION n(valor inicial) Aproximación

1 3 2.0458015267

2 2.0458015267 1.9067946983 m

3 1.9067946983 1.8633438425

4 1.8633438425 1.8485515694

5 1.8485515694 1.8433842003

6 1.8433842003 1.8415633423

7 1.8415633423 1.8409197725

8 1.8409197725 1.8406920651

9 1.8406920651 1.8406114675

10 1.8406114675 1.840582936

Datos de entrada

Datos de salida

APROXIMACIONES POR MÉTODO DE NEWTON-RAPHSONAPLICADO A CONVERSION DE PLANTA CUADRADA A RECTANGULAR

(n-B)/2

A 0.40

CONDICION : (n-B)/2 = m-A

0.25 A = mn

0.795291468 = 0.80 OK

(n-B)/2

m

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