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DISEÑO DE ALIGERADO Datos Peso total de carga muerta por m² de losa aligerada Peso de losa aligerada (h=0.25 m) : 350 kg/m² Peso de piso y cielo raso : 100 kg/m² Peso de tabiqueria : 100 kg/m² 550 kg/m² USO DE HOSPITAL S/C= 400 Kg/m2 h = 0.25 m Wu = (1.4*550 + 1.7*400)* = 1450 kg/m² Por vigueta 1450/2.5 = 580 kg/m = 0.58 Mu = coef*Wu*l^2 Mu = (1/24)*0.58*(5.5)^2 0.731 tn-m Mu = (1/11)*0.58*(5.5)^2 1.595 tn-m Mu = (1/10)*0.58*((5.5+5)/2)^ 1.599 tn-m Mu = (1/16)*0.58*(5)^2 0.906 tn-m Mu = (1/10)*0.58*((5+4.5)/2)^ 1.309 tn-m Mu = (1/11)*0.58*(4.5)^2 1.068 tn-m Mu = (1/24)*0.58*(4.5)^2 0.489 tn-m si: be hf 0.05

Calcuulo de Aligerado Corregido

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Page 1: Calcuulo de Aligerado Corregido

DISEÑO DE ALIGERADO

Datos

Peso total de carga muerta por m² de losa aligeradaPeso de losa aligerada (h=0.25 m) : 350 kg/m²

Peso de piso y cielo raso : 100 kg/m²

Peso de tabiqueria : 100 kg/m²550 kg/m²

USO DE HOSPITAL S/C= 400 Kg/m2

h = 0.25 m

Wu = (1.4*550 + 1.7*400)* = 1450 kg/m²

Por vigueta = 1450/2.5 = 580 kg/m = 0.58 Tn/m

Mu = coef*Wu*l^2

Mu = (1/24)*0.58*(5.5)^2 0.731 tn-m

Mu = (1/11)*0.58*(5.5)^2 1.595 tn-m

Mu = (1/10)*0.58*((5.5+5)/2)^2 1.599 tn-m

Mu = (1/16)*0.58*(5)^2 0.906 tn-m

Mu = (1/10)*0.58*((5+4.5)/2)^2 1.309 tn-m

Mu = (1/11)*0.58*(4.5)^2 1.068 tn-m

Mu = (1/24)*0.58*(4.5)^2 0.489 tn-m

si:be

hf 0.05 asumiendo :c = 5

Page 2: Calcuulo de Aligerado Corregido

0.2 d = 22

4.25bw = 0.1

As =be l/4 = 5/4 = 1.25 m

bw+s = 0.10+0.30 = 0.4 m menor a = As*fy/(0.85*fc*b) =bw+16hf = 16*0.05+0.10= 0.9 m

4por lo tanto

be = 0.4 m

RESUMEN :Mu - = 0.731 tn-m ] d = 22 cm b = 10 cm As =

Mu + = 1.595 tn-m ] d = 22 cm b = 40 cm As =

Mu - = 1.599 tn-m ] d = 22 cm b = 10 cm As =

Mu + = 0.906 tn-m ] d = 22 cm b = 40 cm As =

Mu - = 1.309 tn-m ] d = 22 cm b = 10 cm As =

Mu + = 1.068 tn-m ] d = 22 cm b = 40 cm As =

Mu - = 0.489 tn-m ] d = 22 cm b = 10 cm As =

corte = b (10%+) =Vc = 1.1 *0.53 *fc^.5*bw*d = 2.04 tnØ Vc = 0.85 * Vc = 1.74 tn

como :

se ensancha la vigueta Ø Vc = 1.1*.53*210^.5*25*22 = 4.65 tn

a = β1*c =

Mu/Øfy(d-a/2) =

si a> hf ]

Ø Vc < Vc

Page 3: Calcuulo de Aligerado Corregido

}

coef0.042 1/24=0.091 1/11=0.100 1/10=0.063 1/16=

5.5 l15 l2

4.5 l3

β = 0.85 Mu= 1.190 t-mb= 10 cm

Page 4: Calcuulo de Aligerado Corregido

0.9 fy = 4200 kg/m2f´c = 210 kg/m2

1.58 cm2

As*fy/(0.85*fc*b) = 3.7

< 5por lo tanto no es viga T

0.92 cm2

1.97 cm2

2.18 cm2

1.11 cm2

1.76 cm2

1.46 cm2 2 Ø 3/8"

0.61 cm2

1.1

Ø =

Mu/Øfy(d-a/2) =

1 Ø 1/2"

1 Ø 1/2"+1 Ø 3/8"

1 Ø 1/2"+1 Ø 3/8"

1 Ø 1/2"

1 Ø 1/2"+1 Ø 3/8"

1 Ø 1/2"

Page 5: Calcuulo de Aligerado Corregido

DISEÑO DE ALIGERADO

Datos

Peso total de carga muerta por m² de losa aligeradaPeso de losa aligerada (h=0.25 m) : 350 kg/m²

Peso de piso y cielo raso : 100 kg/m²

Peso de tabiqueria : 100 kg/m²550 kg/m²

USO DE HOSPIT 400 Kg/m2

h = 0.25 m

coefWu = (1.4*550 + 1.7*400)* = 1450 kg/m² 0.0421/24=

0.0911/11=Por vigueta = 1450/2.5 = 580 kg/m = 0.58 Tn/m 0.1001/10=

0.0631/16=Mu = coef*Wu*l^2

Mu = (1/24)*0.58*(5.2)^2 = 0.653 tn-m 5.2 l14.7 l2

Mu = (1/11)*0.58*(5.2)^2 = 1.426 tn-m 4.2 l3

Mu = (1/10)*0.58*((5.2+4.7)/2)^2 1.421 tn-m

Mu = (1/16)*0.58*(4.7)^2 = 0.801 tn-m

Mu = (1/10)*0.58*((4.7+4.2)/2)^2 1.149 tn-m

Mu = (1/11)*0.58*(4.2)^2 = 0.930 tn-m

Mu = (1/24)*0.58*(4.2)^2 = 0.426 tn-m

Page 6: Calcuulo de Aligerado Corregido

si:be

hf 0.05 asumiendo :c = 5 β = 0.85 Mu= 1.426

b= 100.2 d = 22 0.9 fy = 4200

f´c = 2104.25

bw = 0.1As = 1.90 cm2

be l/4 = 5/4 = 1.175 mbw+s = 0.10+0.30 = 0.4 m menor a =As*fy/(0.85*fc*b) = 4.5bw+16hf16*0.05+0.10= 0.9 m

4 < 5por lo tanto por lo tanto no es viga T

be = 0.4 m

RESUMEN :Mu - = 0.653 tn-m ] d = 22 cm b = 10 As = 0.82 cm2

Mu + = 1.426 tn-m ] d = 22 cm b = 40 As = 1.76 cm2

Mu - = 1.421 tn-m ] d = 22 cm b = 10 As = 1.90 cm2

Mu + = 0.801 tn-m ] d = 22 cm b = 40 As = 0.98 cm2

Mu - = 1.149 tn-m ] d = 22 cm b = 10 As = 1.50 cm2

Mu + = 0.930 tn-m ] d = 22 cm b = 40 As = 1.14 cm2

Mu - = 0.426 tn-m ] d = 22 cm b = 10 As = 0.53 cm2

corte =Vc = 1.1 *0.53 *fc^.5*bw*d = 1.86 tnØ Vc = 0.85 * Vc = 1.58 tn

como :

Ø =

a = β1*c =

Mu/Øfy(d-a/2) =

si a> hf ]

2 Ø 3/8"

1 Ø 1/2"+1 Ø 3/8"

1 Ø 1/2"+1 Ø 3/8"

2 Ø 3/8"

1 Ø 1/2"+1 Ø 3/8"

2 Ø 3/8"

2 Ø 1/4"

Ø Vc < Vc

Page 7: Calcuulo de Aligerado Corregido

se ensancha la vigueta Ø Vc = 1.1*.53*210^.5*25* 4.65 tn

Page 8: Calcuulo de Aligerado Corregido

}

Page 9: Calcuulo de Aligerado Corregido

t-mcmkg/m2kg/m2

Ø 1/2"+1 Ø 3/8"

Ø 1/2"+1 Ø 3/8"

Ø 1/2"+1 Ø 3/8"