diseño zapata conectada
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Transcript of diseño zapata conectada
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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