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DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Izquierda Derecha
Viga A - B 2.336 Tn-m 3.141 Tn-m 2.280 Tn-m
Viga B - C 2.852 Tn-m 2.718 Tn-m 1.280 Tn-m
Viga C - D 2.749 Tn-m 2.053 Tn-m 2.070 Tn-m
Viga A - B 3.163 Tn-m 2.715 Tn-m 2.090 Tn-m
Viga B - C 2.687 Tn-m 2.639 Tn-m 1.450 Tn-m
Viga C - D 2.339 Tn-m 2.827 Tn-m 1.900 Tn-m
Viga A - B 3.301 Tn-m 2.478 Tn-m 2.160 Tn-m
Viga B - C 2.647 Tn-m 2.603 Tn-m 1.460 Tn-m
Viga C - D 2.113 Tn-m 2.962 Tn-m 1.940 Tn-m
Viga A - B 3.469 Tn-m 2.338 Tn-m 2.160 Tn-m
Viga B - C 2.623 Tn-m 2.593 Tn-m 1.480 Tn-m
Viga C - D 1.979 Tn-m 3.124 Tn-m 1.930 Tn-m
Viga A - B 1.779 Tn-m 1.139 Tn-m 1.470 Tn-m
Viga B - C 3.255 Tn-m 1.373 Tn-m 0.990 Tn-m
Viga C - D 0.959 Tn-m 1.605 Tn-m 1.310 Tn-m
b = 25.00 cm
h = 40.00 cm Ф Asumo : 3/4" 1.91 cm
f'c = 210 Kg/cm² Ф Estribos : 3/8" 0.95 cm
fy = 4200 Kg/cm² d:
β = 0.85 d: 34.10 cm
Recub = 4.00 cm
As min = Pmin.b.d
Pmin = 0.0024
As min = 2.059 cm² 2.580 cm²
Pb =
Pb = 0.0217
Pmax = 0.75.Pb 0.0163
As max = 13.866 cm² 13.050 cm²
14.160 cm²
2 Φ 1 + 1 Φ 3/4
2 Φ 1+ 2 Φ 5/8
QUINTO PISO
Peralte Efectivo de la seccion:
h - Recub - Фestrib - Фasumo/2
1. DIMENSION Y PROPIEDADES DE LA VIGA
2. DETERMINACION DEL ACERO MINIMO
2 Φ 1/2
3. DETERMINACION DEL ACERO MAXIMO
(0.723.f'c/fy)*(6300/(6300+fy))
VIGAS PRINCIPALES EJE 4-4
PISO VIGASMº Max. Negativos Mº Max.
Posiitivo
PRIMER PISO
SEGUNDO PISO
TERCER PISO
CUARTO PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
M max 2.280 Tn-m
M max 1.280 Tn-m
M max 2.070 Tn-m
M max 2.090 Tn-m
M max 1.450 Tn-m
M max 1.900 Tn-m
M max 2.160 Tn-m
M max 1.460 Tn-m
M max 1.940 Tn-m
M max 2.160 Tn-m
M max 1.480 Tn-m
M max 1.930 Tn-m
M max 1.470 Tn-m
M max 0.990 Tn-m
M max 1.310 Tn-m
Mmax (+) 2.280 Tn-m Mmax (+) 1.280 Tn-m
b = 25.00 cm b = 25.00 cm
d = 34.10 cm d = 34.10 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.41 cm Asumir: a = 0.10.d a =3.41 cm
As = 1.862 cm² a =1.75 cm REPETIR As = 1.862 cm² a =1.75 cm REPETIR
As = 1.816 cm² a =1.71 cm REPETIR As = 1.816 cm² a =1.71 cm REPETIR
As = 1.815 cm² a =1.71 cm OK As = 1.815 cm² a =1.71 cm OK
As = 1.815 cm² As = 1.815 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
CUARTOPISO
CUARTOPISO
LA Metodologia en general se llevara de la siguiente forma :
Verificamos que el acero calculado, se encuentre en el rango del acero maximo y minimo, de
no estar, es decir, si supera el acero maximo se procede a recalcular modificando el peralte
efectivo y si es menor que el acero minimo, se asume el acero minimo.
consideramos a=10% d,y teniendo en cuenta las formulas anteriores iteramos para detreminar
el area de acero .
PRIMER PISO
2 Φ 1/2
PRIMER PISO
2 Φ 1/2
PRIMER PISO 0 = colocar acero minimo
SEGUNDO PISO
TERCER PISO
A. ACEROS POSITIVOS FORMULAS
4. DETERMINACION DEL REFUERZO EN LA VIGA
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (+) 2.070 Tn-m
b = 25.00 cm
d = 32.83 cm
Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm
As = 1.756 cm² a =1.65 cm REPETIR
As = 1.711 cm² a =1.61 cm REPETIR
As = 1.710 cm² a =1.61 cm OK
As = 1.710 cm²
Usar As =2.580 cm²
Mmax (+) 2.090 Tn-m Mmax (+) 1.450 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.773 cm² a =1.67 cm REPETIR As = 1.230 cm² a =1.16 cm REPETIR
As = 1.728 cm² a =1.63 cm REPETIR As = 1.190 cm² a =1.12 cm REPETIR
As = 1.727 cm² a =1.63 cm OK As = 1.189 cm² a =1.12 cm OK
As = 1.727 cm² As = 1.189 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
Mmax (+) 1.900 Tn-m
b = 25.00 cm
d = 32.83 cm
Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm
As = 1.612 cm² a =1.52 cm REPETIR
As = 1.568 cm² a =1.48 cm REPETIR
As = 1.566 cm² a =1.47 cm OK
As = 1.566 cm²
PRIMER PISO
2 Φ 1/2
SEGUNDO PISO SEGUNDO PISO
2 Φ 1/2 2 Φ 1/2
SEGUNDO PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (+) 2.160 Tn-m Mmax (+) 1.460 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.832 cm² a =1.72 cm REPETIR As = 1.239 cm² a =1.17 cm REPETIR
As = 1.788 cm² a =1.68 cm REPETIR As = 1.198 cm² a =1.13 cm REPETIR
As = 1.787 cm² a =1.68 cm OK As = 1.197 cm² a =1.13 cm OK
As = 1.787 cm² As = 1.197 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
Mmax (+) 1.940 Tn-m
b = 25.00 cm
d = 32.83 cm
Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm
As = 1.646 cm² a =1.55 cm REPETIR
As = 1.601 cm² a =1.51 cm REPETIR
As = 1.600 cm² a =1.51 cm OK
As = 1.600 cm²
Usar As =2.580 cm²
Mmax (+) 2.160 Tn-m Mmax (+) 1.480 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.832 cm² a =1.72 cm REPETIR As = 1.256 cm² a =1.18 cm REPETIR
As = 1.788 cm² a =1.68 cm REPETIR As = 1.215 cm² a =1.14 cm REPETIR
As = 1.787 cm² a =1.68 cm OK As = 1.214 cm² a =1.14 cm OK
As = 1.787 cm² As = 1.214 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
2 Φ 1/2 2 Φ 1/2
TERCER PISO
2 Φ 1/2
CUARTO PISO CUARTO PISO
2 Φ 1/2 2 Φ 1/2
TERCER PISO TERCER PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (+) 1.930 Tn-m
b = 25.00 cm
d = 32.83 cm
Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm
As = 1.637 cm² a =1.54 cm REPETIR
As = 1.593 cm² a =1.50 cm REPETIR
As = 1.592 cm² a =1.50 cm OK
As = 1.592 cm²
Usar As =2.580 cm²
Mmax (+) 1.470 Tn-m Mmax (+) 0.990 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.247 cm² a =1.17 cm REPETIR As = 0.840 cm² a =0.79 cm REPETIR
As = 1.206 cm² a =1.14 cm REPETIR As = 0.808 cm² a =0.76 cm REPETIR
As = 1.206 cm² a =1.13 cm OK As = 0.807 cm² a =0.76 cm OK
As = 1.206 cm² As = 0.807 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
Mmax (+) 1.310 Tn-m
b = 25.00 cm
d = 32.83 cm
Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm
As = 1.111 cm² a =1.05 cm REPETIR
As = 1.073 cm² a =1.01 cm REPETIR
As = 1.072 cm² a =1.01 cm OK
As = 1.072 cm²
Usar As =2.580 cm²
2 Φ 1/2
QUINTO PISO QUINTO PISO
2 Φ 1/2 2 Φ 1/2
QUINTO PISO
2 Φ 1/2
CUARTO PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Izquierda Derecha
M max 2.336 Tn-m 3.141 Tn-m
M max 2.852 Tn-m 2.718 Tn-m
M max 2.749 Tn-m 2.053 Tn-m
M max 3.163 Tn-m 2.715 Tn-m
M max 2.687 Tn-m 2.639 Tn-m
M max 2.339 Tn-m 2.827 Tn-m
M max 3.301 Tn-m 2.478 Tn-m
M max 2.647 Tn-m 2.603 Tn-m
M max 2.113 Tn-m 2.962 Tn-m
M max 3.469 Tn-m 2.338 Tn-m
M max 2.623 Tn-m 2.593 Tn-m
M max 1.979 Tn-m 3.124 Tn-m
M max 1.779 Tn-m 1.139 Tn-m
M max 3.255 Tn-m 1.373 Tn-m
M max 0.959 Tn-m 1.605 Tn-m
Mmax (-) 2.336 Tn-m Mmax (-) 3.141 Tn-m
b = 25.00 cm b = 25.00 cm
d = 34.10 cm d = 34.10 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.41 cm Asumir: a = 0.10.d a =3.41 cm
As = 1.908 cm² a =1.80 cm REPETIR As = 2.565 cm² a =2.41 cm REPETIR
As = 1.862 cm² a =1.75 cm REPETIR As = 2.527 cm² a =2.38 cm REPETIR
As = 1.860 cm² a =1.75 cm OK As = 2.525 cm² a =2.38 cm OK
As = 1.860 cm² As = 2.525 cm² a =2.38 cm OK
As = 2.525 cm²
Usar As =2.580 cm² Usar As =3.270 cm²
Mmax (-) 2.852 Tn-m Mmax (-) 2.718 Tn-m
b = 25.00 cm b = 25.00 cm
d = 34.10 cm d = 34.10 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.41 cm Asumir: a = 0.10.d a =3.41 cm
As = 2.329 cm² a =2.19 cm REPETIR As = 2.220 cm² a =2.09 cm REPETIR
As = 2.286 cm² a =2.15 cm REPETIR As = 2.176 cm² a =2.05 cm REPETIR
As = 2.285 cm² a =2.15 cm OK As = 2.174 cm² a =2.05 cm OK
As = 2.285 cm² As = 2.174 cm²
Usar As =3.270 cm² Usar As =2.580 cm²
PRIMER PISO
1 Φ 1/2 + 1 Φ 5/8
PRIMER PISO
2 Φ 1/2
PRIMER PISO
SEGUNDO PISO
TERCER PISO
CUARTO PISO
QUINTO PISO
PRIMER PISO PRIMER PISO
2 Φ 1/2 1 Φ 1/2 + 1 Φ 5/8
B. ACEROS NEGATIVOS FORMULAS
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (-) 2.749 Tn-m Mmax (-) 2.053 Tn-m
b = 25.00 cm b = 25.00 cm
d = 34.10 cm d = 34.10 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.41 cm Asumir: a = 0.10.d a =3.41 cm
As = 2.245 cm² a =2.11 cm REPETIR As = 1.677 cm² a =1.58 cm REPETIR
As = 2.201 cm² a =2.07 cm REPETIR As = 1.631 cm² a =1.53 cm REPETIR
As = 2.200 cm² a =2.07 cm OK As = 1.630 cm² a =1.53 cm OK
As = 2.200 cm² a =2.07 cm OK As = 1.630 cm²
As = 2.200 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
Mmax (-) 3.163 Tn-m Mmax (-) 2.715 Tn-m
b = 25.00 cm b = 25.00 cm
d = 34.10 cm d = 34.10 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.41 cm Asumir: a = 0.10.d a =3.41 cm
As = 2.583 cm² a =2.43 cm REPETIR As = 2.218 cm² a =2.09 cm REPETIR
As = 2.545 cm² a =2.40 cm REPETIR As = 2.173 cm² a =2.05 cm REPETIR
As = 2.544 cm² a =2.39 cm OK As = 2.172 cm² a =2.04 cm OK
As = 2.544 cm² As = 2.172 cm²
Usar As =3.270 cm² Usar As =2.580 cm²
Mmax (-) 2.687 Tn-m Mmax (-) 2.639 Tn-m
b = 25.00 cm b = 25.00 cm
d = 34.10 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.41 cm Asumir: a = 0.10.d a =3.28 cm
As = 2.195 cm² a =2.07 cm REPETIR As = 2.239 cm² a =2.11 cm REPETIR
As = 2.150 cm² a =2.02 cm REPETIR As = 2.197 cm² a =2.07 cm REPETIR
As = 2.149 cm² a =2.02 cm OK As = 2.196 cm² a =2.07 cm OK
As = 2.149 cm² As = 2.196 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
1 Φ 1/2 + 1 Φ 5/8 2 Φ 1/2
SEGUNDO PISO
2 Φ 1/2
SEGUNDO PISO
2 Φ 1/2
2 Φ 1/2
PRIMER PISO PRIMER PISO
2 Φ 1/2
SEGUNDO PISO SEGUNDO PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (-) 2.339 Tn-m Mmax (-) 2.827 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.984 cm² a =1.87 cm REPETIR As = 2.398 cm² a =2.26 cm REPETIR
As = 1.940 cm² a =1.83 cm REPETIR As = 2.360 cm² a =2.22 cm REPETIR
As = 1.939 cm² a =1.82 cm OK As = 2.358 cm² a =2.22 cm OK
As = 1.939 cm² As = 2.358 cm²
Usar As =2.580 cm² Usar As =3.270 cm²
Mmax (-) 3.301 Tn-m Mmax (-) 2.478 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 2.800 cm² a =2.64 cm REPETIR As = 2.102 cm² a =1.98 cm REPETIR
As = 2.772 cm² a =2.61 cm REPETIR As = 2.059 cm² a =1.94 cm REPETIR
As = 2.771 cm² a =2.61 cm OK As = 2.058 cm² a =1.94 cm OK
As = 2.770 cm² As = 2.058 cm²
Usar As =3.270 cm² Usar As =2.580 cm²
Mmax (-) 2.647 Tn-m Mmax (-) 2.603 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 2.246 cm² a =2.11 cm REPETIR As = 2.208 cm² a =2.08 cm REPETIR
As = 2.204 cm² a =2.07 cm REPETIR As = 2.166 cm² a =2.04 cm REPETIR
As = 2.203 cm² a =2.07 cm OK As = 2.165 cm² a =2.04 cm OK
As = 2.203 cm² As = 2.165 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
TERCER PISO TERCER PISO
1 Φ 1/2 + 1 Φ 5/8 2 Φ 1/2
TERCER PISO
2 Φ 1/2
TERCER PISO
2 Φ 1/2
SEGUNDO PISO
2 Φ 1/2
SEGUNDO PISO
1 Φ 1/2 + 1 Φ 5/8
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (-) 2.113 Tn-m Mmax (-) 2.962 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.793 cm² a =1.69 cm REPETIR As = 2.513 cm² a =2.37 cm REPETIR
As = 1.748 cm² a =1.65 cm REPETIR As = 2.476 cm² a =2.33 cm REPETIR
As = 1.747 cm² a =1.64 cm OK As = 2.475 cm² a =2.33 cm OK
As = 1.747 cm² As = 2.475 cm²
Usar As =2.580 cm² Usar As =3.270 cm²
Mmax (-) 3.469 Tn-m Mmax (-) 2.338 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 2.943 cm² a =2.77 cm REPETIR As = 1.983 cm² a =1.87 cm REPETIR
As = 2.919 cm² a =2.75 cm REPETIR As = 1.939 cm² a =1.83 cm REPETIR
As = 2.918 cm² a =2.75 cm OK As = 1.938 cm² a =1.82 cm OK
As = 2.918 cm² As = 1.938 cm²
Usar As =3.270 cm² Usar As =2.580 cm²
Mmax (-) 2.623 Tn-m Mmax (-) 2.593 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 2.225 cm² a =2.09 cm REPETIR As = 2.200 cm² a =2.07 cm REPETIR
As = 2.184 cm² a =2.06 cm REPETIR As = 2.158 cm² a =2.03 cm REPETIR
As = 2.182 cm² a =2.05 cm OK As = 2.157 cm² a =2.03 cm OK
As = 2.182 cm² As = 2.156 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
2 Φ 1/2 1 Φ 1/2 + 1 Φ 5/8
CUARTO PISO CUARTO PISO
1 Φ 1/2 + 1 Φ 5/8 2 Φ 1/2
CUARTO PISO
2 Φ 1/2
CUARTO PISO
2 Φ 1/2
TERCER PISO TERCER PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (-) 1.979 Tn-m Mmax (-) 3.124 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.679 cm² a =1.58 cm REPETIR As = 2.650 cm² a =2.49 cm REPETIR
As = 1.634 cm² a =1.54 cm REPETIR As = 2.617 cm² a =2.46 cm REPETIR
As = 1.633 cm² a =1.54 cm OK As = 2.616 cm² a =2.46 cm OK
As = 1.633 cm² As = 2.616 cm²
Usar As =2.580 cm² Usar As =3.270 cm²
Mmax (-) 1.779 Tn-m Mmax (-) 1.139 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 1.509 cm² a =1.42 cm REPETIR As = 0.966 cm² a =0.91 cm REPETIR
As = 1.465 cm² a =1.38 cm REPETIR As = 0.931 cm² a =0.88 cm REPETIR
As = 1.465 cm² a =1.38 cm OK As = 0.930 cm² a =0.88 cm OK
As = 1.465 cm² As = 0.930 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
Mmax (-) 3.255 Tn-m Mmax (-) 1.373 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 2.761 cm² a =2.60 cm REPETIR As = 1.165 cm² a =1.10 cm REPETIR
As = 2.731 cm² a =2.57 cm REPETIR As = 1.125 cm² a =1.06 cm REPETIR
As = 2.730 cm² a =2.57 cm OK As = 1.125 cm² a =1.06 cm OK
As = 2.730 cm² As = 1.125 cm²
Usar As =0.000 cm² Usar As =2.580 cm²1 Φ 1/2 + 1 Φ 5/8
QUINTO PISO
2 Φ 1/2
CUARTO PISO CUARTO PISO
2 Φ 1/2 1 Φ 1/2 + 1 Φ 5/8
QUINTO PISO QUINTO PISO
2 Φ 1/2 2 Φ 1/2
QUINTO PISO
DELGADO PEREZ MARIO
DISEÑO DE VIGAS CONCRETO ARMADO I ING. CIVIL
Mmax (-) 0.959 Tn-m Mmax (-) 1.605 Tn-m
b = 25.00 cm b = 25.00 cm
d = 32.83 cm d = 32.83 cm
Ф = 0.9 Ф = 0.9
Asumir: a = 0.10.d a =3.28 cm Asumir: a = 0.10.d a =3.28 cm
As = 0.814 cm² a =0.77 cm REPETIR As = 1.362 cm² a =1.28 cm REPETIR
As = 0.782 cm² a =0.74 cm REPETIR As = 1.319 cm² a =1.24 cm REPETIR
As = 0.782 cm² a =0.74 cm OK As = 1.318 cm² a =1.24 cm OK
As = 0.782 cm² As = 1.318 cm²
Usar As =2.580 cm² Usar As =2.580 cm²
TABLA DE COMBINACIONES QUE SE UTILIZO PARA HALLAR AREA DE ACERO
Area Area
1.420 cm² 3.270 cm²
2.000 cm² 3.960 cm²
2.130 cm² 4.560 cm²
2.580 cm² 5.250 cm²
2.710 cm² 5.850 cm²
2.840 cm² 5.940 cm²
3.290 cm² 6.540 cm²
3.870 cm² 7.230 cm²
4.000 cm² 7.920 cm²
4.580 cm² Area
5.160 cm² 4.140 cm²
Area 5.430 cm²
7.080 cm² 5.700 cm²
10.200 cm² 6.990 cm²
12.180 cm² 8.550 cm²
14.160 cm² 8.280 cm²
15.300 cm² 4 Φ 3/4 11.400 cm²
QUINTO PISO QUINTO PISO
2 Φ 1/2 2 Φ 1/2
COMBINACIONES RECOMENDADAS
1/2 - 3/8" 1/2 - 5/8"
2 Φ 3/8 1 Φ 1/2 + 1 Φ 5/8
1 Φ 1/2 + 1 Φ 3/8 2 Φ 5/8
3 Φ 3/8 2 Φ 1/2 + 1 Φ 5/8
2 Φ 1/2 1 Φ 1/2 + 2 Φ 5/8
1 Φ 1/2 + 2 Φ 3/8 3 Φ 1/2 + 1 Φ 5/8
4 Φ 3/8 3 Φ 5/8
2 Φ 1/2 + 1 Φ 3/8 2 Φ 1/2 + 2 Φ 5/8
3 Φ 1/2 1 Φ 1/2 + 3 Φ 5/8
2 Φ 1 1 Φ 1/2 + 2 Φ 3/4
2 Φ 1+ 1 Φ 5/8 3 Φ 3/4
2 Φ 1+ 2 Φ 5/8 2 Φ 1/2 + 2 Φ 3/4
3 Φ 1
NOTA: Las celdas que estan de fondo blanco son combinaciones que no se pueden
tomar porque son menores que el acerro minimo o mayores que el acero maximo,
tambien cuando estan sobrepasando en ancho b = 0.25 m
2 Φ 1/2 + 2 Φ 3/8 4 Φ 5/8
3 Φ 1/2 + 1 Φ 3/8 1/2 - 3/4"
4 Φ 1/2 1 Φ 1/2 + 1 Φ 3/4
5/8 - 1" 2 Φ 1/2 + 1 Φ 3/4
1 Φ 1 + 1 Φ 5/8 2 Φ 3/4
DELGADO PEREZ MARIO
