solucSUSTI

HOJA DE CALCULO DE MOMENTOS RESISTENTES Y/O AREAS DE ACERO NECESARIASPARA UN ELEMENTO CUYA SECCION ESTA SOMETIDA A FLEXION PURA

Datos generales

Simbolo Und DENOMINACION:

b = 30 cm base de la seccion

h = 70 cm Peralte de la seccion

d = 61 cm Peralte efectivo de la seccion

r = 9 cm Recubrimiento al eje del refuerzo longitudinal - traccion

d'= 9 cm Recubrimiento al eje del refuerzo longitudinal - compr.

f'c = 210 kg/cm2 Resistencia del concreto a la compresion

fy = 4200 kg/cm2 Resistencia del acero a la traccion

Resultados…Viga simplemente Armada

As min = 6.10 cm2 Area de acero minima en traccion

B1 = 0.85 Factor de la zona de compresion del concreto

Pb = 0.0213 Cuantia balanceada de viga simplemente armada

Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica

50% Pb 0.0159 Cuantia maxima permitida por el RNC

As máx = 29.17 cm2 Area de acero maxima segun la seccion

DISENO DEL REFUERZO LONGITUDINAL POR FLEXION

PARA VIGA SIMPLEMENTE ARMADA

Mu = 30.44 Tn.m Ast = 16.25 cm2

a = 22.88 cm.

a_max= 22.87 cm.

Recomendación: Ok Usar Ast


PARA VIGA DOBLEMENTE ARMADA

Calculo del Area de Acero en Compresion Omitir este cuadro

Momento maximo Mu1 resistente como viga simple Muc= 60.71 Tn.m

Momento remanente M2 que tomara el acero en compresion Mus= 0.00 Tn.m

Area de acero total en compresion A's= 0.00 cm2

Area de acero maxima como viga simple As1= 29.17 cm2

Area de acero en traccion adicional al acero de viga simple As2= 0.00 cm2

Area de acero total en traccion As= 29.17 cm2

Cuantia de acero en compresion P's = 0.0000

Cuantia de acero en traccion Ps = 0.0159

Verificando si fluye el acero comprimido

0.0178

No fluye 0.0159

Efectuando cálculo exacto

As= 105 75.83

A's= 105

c= 13.91 d= 61a= 11.82199 d'= 9

ρ-ρ'>

ρ-ρ'=

Єs= 0.010158 fs= 20315.4Є's= 0.001059 f's= 2117.4

C= 59.58281Cs= 222.3274Ts= 441 Tmax= 122.496 318.50438

Σfuerzas = -159.0898

Mn= 236.0748 A's= 105.00 cm2

Mu= 212.4673 As= 105.00 cm2ρ'= 0.05738

Resultados…Viga doblemente Armada



Pb = 0.0213 Cuantia balanceada de viga doblemente armada


As max = 82.10 cm2 Area de acero maxima segun la seccion


Calculo de Areas

Cant de Varillas Tipo 1 06

Numero ACI de Varilla 6 /8"

Cant de Varillas Tipo 2


As = 17.10 cm2 6.43

RESISTENCIA


Ast = 17.10 cm2

Fi_Mn= 35.10 Tn.m 39.00

a = 13.41 cm

Si es simple Falla: Ductil-Subreforzada

Si cumple As min

Calculo de Areas





As = 15.20 cm2

RESISTENCIA


A's= 7.76 cm2

As = 31.68 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 7440.00

b1= 189000.00

c1= -3024000.00

165563.45

a= 11.13

c= 13.91

a= 19.55 cm

c= 23.00 cm

f`s= 3,652.65 kg/cm2

Fi_Mn= 61.34 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 0.91 Tn.m Ast = 1.74 cm2

a = 6.38 cm.

a_max= 6.37 cm.



22.25 7.41666667 -3.4

3.91267172147115 10.21

0.625 3.582456140351

19.05

Calculo de Areas





As = 1.98 cm2 6.43

RESISTENCIA


Ast = 1.98 cm2

Fi_Mn= 1.22 Tn.m 1.36

a = 1.40 cm


Si cumple As min


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 27.53 Tn.m Ast = 16.60 cm2

a = 20.25 cm.

a_max= 20.25 cm.



22.25 7.41666667 -3.4

3.91267172147115 10.21

0.625 3.582456140351

19.05

Calculo de Areas





As = 19.32 cm2 6.43

RESISTENCIA


Ast = 19.32 cm2

Fi_Mn= 33.90 Tn.m 37.67

a = 15.15 cm


Si cumple As min


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 19.00 Tn.m Ast = 9.67 cm2

a = 24.00 cm.

a_max= 24.00 cm.














0.0113

Fluye 0.0159


As= 105 74.40

A's= 105

c= 13.91 d= 64a= 11.82199 d'= 6

ρ-ρ'>

ρ-ρ'=

Єs= 0.010805 fs= 21609.6Є's= 0.001706 f's= 3411.6

C= 59.58281Cs= 358.2183Ts= 441 Tmax= 128.52 312.48


Mn= 255.8537 A's= 105.00 cm2

Mu= 230.2683 As= 105.00 cm2ρ'= 0.05469








Calculo de Areas





As = 11.40 cm2 6.43

RESISTENCIA


Ast = 11.40 cm2

Fi_Mn= 25.65 Tn.m 28.50

a = 8.94 cm


Si cumple As min

Calculo de Areas





As = 15.20 cm2

RESISTENCIA


A's= 7.76 cm2

As = 31.68 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 7440.00

b1= 189000.00

c1= -3024000.00

165563.45

a= 11.13

c= 13.91

a= 18.54 cm

c= 21.82 cm

f`s= 4,349.84 kg/cm2

Fi_Mn= 65.54 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 39.34 Tn.m Ast = 21.00 cm2

a = 22.88 cm.

a_max= 22.87 cm.














0.0178

No fluye 0.0159


As= 105 75.83

A's= 105

c= 13.91 d= 61a= 11.82199 d'= 9

ρ-ρ'>

ρ-ρ'=

Єs= 0.010158 fs= 20315.4Є's= 0.001059 f's= 2117.4

C= 59.58281Cs= 222.3274Ts= 441 Tmax= 122.496 318.50438


Mn= 236.0748 A's= 105.00 cm2

Mu= 212.4673 As= 105.00 cm2ρ'= 0.05738








Calculo de Areas





As = 21.54 cm2 6.43

RESISTENCIA


Ast = 21.54 cm2

Fi_Mn= 42.78 Tn.m 47.53

a = 16.89 cm


Si cumple As min

Calculo de Areas





As = 20.27 cm2

RESISTENCIA


A's= 7.76 cm2

As = 31.68 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 7440.00

b1= 189000.00

c1= -3024000.00

165563.45

a= 11.13

c= 13.91

a= 19.55 cm

c= 23.00 cm

f`s= 3,652.65 kg/cm2

Fi_Mn= 61.34 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 63.07 Tn.m Ast = 33.66 cm2

a = 22.88 cm.

a_max= 22.87 cm.

Recomendación: Se requiere Acero en Compresion



Calculo del Area de Acero en Compresion Usar este cuadro










0.0178

No fluye 0.0159


As= 105 75.83

A's= 105

c= 13.91 d= 61a= 11.82199 d'= 9

ρ-ρ'>

ρ-ρ'=

Єs= 0.010158 fs= 20315.4Є's= 0.001059 f's= 2117.4

C= 59.58281Cs= 222.3274Ts= 441 Tmax= 122.496 318.50438


Mn= 236.0748 A's= 105.00 cm2

Mu= 212.4673 As= 105.00 cm2ρ'= 0.05738








Calculo de Areas





As = 31.67 cm2 6.43

RESISTENCIA


Ast = 31.67 cm2

Fi_Mn= 58.16 Tn.m 64.62

a = 24.84 cm

No es simple Falla: Ductil-Subreforzada

Si cumple As min

Calculo de Areas





As = 31.67 cm2

RESISTENCIA


A's= 1.08 cm2

As = 31.67 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 7440.00

b1= 189000.00

c1= -3024000.00

165563.45

a= 11.13

c= 13.91

a= 24.01 cm

c= 28.25 cm

f`s= 4,088.64 kg/cm2

Fi_Mn= 58.65 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 68.69 Tn.m Ast = 36.66 cm2

a = 22.88 cm.

a_max= 22.87 cm.




Calculo del Area de Acero en Compresion Usar este cuadro










0.0178

No fluye 0.0159


As= 105 75.83

A's= 105

c= 13.91 d= 61a= 11.82199 d'= 9

ρ-ρ'>

ρ-ρ'=

Єs= 0.010158 fs= 20315.4Є's= 0.001059 f's= 2117.4

C= 59.58281Cs= 222.3274Ts= 441 Tmax= 122.496 318.50438


Mn= 236.0748 A's= 105.00 cm2

Mu= 212.4673 As= 105.00 cm2ρ'= 0.05738








Calculo de Areas





As = 36.74 cm2 6.43

RESISTENCIA


Ast = 36.74 cm2

Fi_Mn= 64.70 Tn.m 71.89

a = 28.81 cm


Si cumple As min

Calculo de Areas





As = 36.74 cm2

RESISTENCIA


A's= 3.65 cm2

As = 36.74 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 7440.00

b1= 189000.00

c1= -3024000.00

165563.45

a= 11.13

c= 13.91

a= 25.93 cm

c= 30.50 cm

f`s= 4,229.68 kg/cm2

Fi_Mn= 66.70 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 11.11 Tn.m Ast = 8.22 cm2

a = 16.50 cm.

a_max= 16.50 cm.














0.0164

No fluye 0.0159


As= 105 83.96

A's= 105

c= 13.91 d= 44a= 11.82199 d'= 6

ρ-ρ'>

ρ-ρ'=

Єs= 0.006491 fs= 12981.6Є's= 0.001706 f's= 3411.6

C= 59.58281Cs= 358.2183Ts= 441 Tmax= 88.3575 352.6425


Mn= 167.6537 A's= 105.00 cm2

Mu= 150.8883 As= 105.00 cm2ρ'= 0.07955








Calculo de Areas





As = 8.55 cm2 6.43

RESISTENCIA


Ast = 8.55 cm2

Fi_Mn= 13.14 Tn.m 14.60

a = 6.71 cm


Si cumple As min

Calculo de Areas





As = 36.74 cm2

RESISTENCIA


A's= 0.00 cm2

As = 36.74 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 7440.00

b1= 189000.00

c1= -3024000.00

165563.45

a= 11.13

c= 13.91

a= 28.81 cm

c= 33.90 cm

f`s= 4,937.97 kg/cm2

Fi_Mn= 41.09 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 1.48 Tn.m Ast = 2.83 cm2

a = 6.37 cm.

a_max= 6.37 cm.














0.0212

No fluye 0.0159


As= 105 94.16

A's= 105

c= 12.95 d= 17a= 11.01087 d'= 3

ρ-ρ'>

ρ-ρ'=

Єs= 0.000937 fs= 1874.04Є's= 0.002305 f's= 4610.46

C= 73.99303Cs= 484.0987Ts= 441 Tmax= 45.5175 395.4825

Σfuerzas = 117.0917

Mn= 62.81981 A's= 105.00 cm2

Mu= 56.53783 As= 105.00 cm2ρ'= 0.15441








Calculo de Areas





As = 2.53 cm2 6.43

RESISTENCIA


Ast = 2.53 cm2

Fi_Mn= 1.56 Tn.m 1.73

a = 1.49 cm


Si cumple As min

Calculo de Areas





As = 36.74 cm2

RESISTENCIA


A's= 0.00 cm2

As = 36.74 cm2

As>As_:máx: Si

A's: No fluye

As 105.00

As' 105.00

a1= 9920.00

b1= 189000.00

c1= -3024000.00

205605.27

a= 10.36

c= 12.95

a= 21.61 cm

c= 25.42 cm

f`s= 5,291.98 kg/cm2

Fi_Mn= 8.60 Tn.m


Datos generales













Sismica 50% Pb

Asismica 75% Pb

Z= 0.75

Zona= Sismica





Mu = 1.70 Tn.m Ast = 3.26 cm2

a = 6.37 cm.

a_max= 6.37 cm.


17 17

22.86 15.24

0.325 0.228125

1.425 1.328125


Calculo de Areas





As = 2.85 cm2 6.43

RESISTENCIA


Ast = 2.85 cm2

Fi_Mn= 1.47 Tn.m 1.63

a = 6.71 cm


Si cumple As min

fs= Av.fy.d mni mnd wu Vuisostaticos 47.53 47.53 4.0875 17.985

64.62 64.62 6.5 28.6s= Av.fy.d 71.89 71.89 6.5 28.6

fs

piso 3 piso 2 piso 1 8.7 0.54375Av= 1.42fy= 4200d= 61Vs 19812.1934 36869.9474 38813.7977

S= 18.3626312 9.86722319 9.3730586

3020

0.1775

Vu Vc Vs28.7872727 28787.2727 14055.1863 19812.193443.2863636 43286.3636 14055.1863 36869.947444.9386364 44938.6364 14055.1863 38813.7977

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