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PREDIMENSIONAMIENTO DE LOSAS ALIGERADAS
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO I
DOCENTE: ING° SERRANO ZELADA OVIDIO
INTEGRANTES: FERNANDEZ RIOS, Joseph ManuelFALEN CHAVEZ ARROYO , JoseVILCHEZ PEREZ ,JoelGUTIERREZ VARGAS, Jorge
FECHA: 4/22/2016
LOSAS NERVADAS EN UNA DIRECCIONCon un extremo continuo L/18.50 18.5Con ambos extremos continuos L/21 21En voladizo L/8 8
Descripcion longitud luz libre Tipo ExtremoEje 3-4 L1 3.92 Con ambos extremos continuos 21.00Eje 2-3 L2 3.71 Con ambos extremos continuos 21.00Eje 7- 8 L3 2.02 Con un extremo continuo 18.50
Por lo tanto la altura de la Losa nervada sera: h = 0.20m
LOSAS MACIZAS EN UNA DIRECCIONCon un extremo continuo L/24Con ambos extremos continuos L/28En voladizo L/10
Descripcion longitud luz libre Tipo ExtremoEje 1 L2 1.30 En voladizo 21.00Eje 2 L3 1.05 En voladizo 10.00
Por lo tanto la altura de la Losa Maciza sera: h = 0.15m
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PREDIMENSIONAMIENTO DE LOSAS ALIGERADAS
H (losa aligerada)0.190.180.11
H (losa Maciza)0.060.11
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PREDIMENSIONAMIENTO DE VIGAS
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO I
DOCENTE: ING° SERRANO ZELADA OVIDIO
INTEGRANTES: FERNANDEZ RIOS, Joseph ManuelFALEN CHAVEZ ARROYO , JoseVILCHEZ PEREZ ,JoelGUTIERREZ VARGAS, Jorge
FECHA: 4/22/2016VIGAS PRINCIPALES
EJE5-5 (VP - 107) EJE 6-6 (VP - 106) EJE 3-3 (VS - 109)
Ln= 7.71m Ln= 7.49m Ln=B= 1.37m B= 2.38m B=H muro= 3.40mAncho de Viga (b) Ancho de Viga (b) Ancho de Viga (b)
b= 0.07m b= | b=b= 0.30m b= 0.30m b=
Altura de Viga de Viga (h) Altura de Viga de Viga (h) Altura de Viga de Viga (h)=12,10 para vivienda� =12,10 para vivienda� =12,10 para vivienda�
h= 0.64 h= 0.62 h=h= 0.77 h= 0.75 h= h Asumido= 0.75 h Asumido= 0.70 h Asumido=
ℎ=��/�
� /20=�
ℎ=��//�
� /20=�
ℎ=��//�
�=�/20
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EJE 2-2 (VP - 110) EJE 11-11 (VP - 103) EJE 9-9 (VP - 113)
Ln= 4.24m Ln= 4.20m Ln=B= 3.97m B= 1.74m B=
H muro= 3.40mAncho de Viga (b) #REF! Ancho de Viga (b)
E muro= 0.15m
Losas (cm) (kg/m²)b= 0.20 17 280 b=b= 0.25m 20 300 b=
25 350Altura de Viga de Viga (h) 30 420 Altura de Viga de Viga (h)=12,10 para vivienda� 0
h= 0.35 a= #REF! h=h= 0.42 h= h Asumido= 0.40 Ancho de Viga (b)
b= #REF!b= 0.25m
Altura de Viga de Viga (h)=12,10 para vivienda�
h= 0.35h= 0.40
Usar: VP (0,25m x 0,40m)
0.75m
0.30m
ϒ muro=
� /20=�
�= )/(���� ��� ����)(���� �� �� ����
�= )/20(�+�
�=��//�
�=��//�
�=�/20
�=��/�
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VIGAS SECUNDARIAS
EJED-D (VS - 114) EJE F-F (VS - 114) EJE H-H (VS- 116)
Ln= 3.92m Ln= 3.20m Ln=
Ancho de Viga (b) Ancho de Viga (b) Ancho de Viga (b)
b= 0.25 b= 0.25 b=
Altura de Viga de Viga (h) Altura de Viga de Viga (h) Altura de Viga de Viga (h)=14 para vigas secundarias� =14 para vigas secundarias� =14 para vigas secundarias�
h= 0.28 h= 0.23 h=h= 0.30 h= 0.30 h=
ℎ=��//� ℎ=��//�ℎ=��/�
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EJE E -E(VS - 113) EJE G - G (VS - 115) EJE I -I (VS - 117)
Ln= 4.15m Ln= 4.15m Ln=B= 3.38m B= 3.45m B=
Ancho de Viga (b) Ancho de Viga (b) Ancho de Viga (b)
b= 0.25 b= 0.25 b=
Altura de Viga de Viga (h) Altura de Viga de Viga (h) Altura de Viga de Viga (h)=14 para vigas secundarias� =14 para vigas secundarias� =14 para vigas secundarias�
h= 0.30 h= 0.30 h=h= 0.30 h= 0.30 h=
Usar: VS (0,25m x 0,30m)
0.30m
0.25m
� /20=�
ℎ=��//�
� /20=�
ℎ=��//�
�=�/20
ℎ=��/�
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PREDIMENSIONAMIENTO DE VIGAS
VIGAS PRINCIPALES
EJE 3-3 (VS - 109)
6.11m2.38m
Ancho de Viga (b)
0.120.30m
Altura de Viga de Viga (h)=12,10 para vivienda�
0.510.610.60
� /20=�
ℎ=��//�
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EJE 9-9 (VP - 113)
4.20m3.45m
Ancho de Viga (b)
0.170.25m
Altura de Viga de Viga (h)
0.350.40
�=�/20
�=��/�
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VIGAS SECUNDARIAS
EJE H-H (VS- 116)
3.20m
Ancho de Viga (b)
0.25
Altura de Viga de Viga (h)=14 para vigas secundarias�
0.230.30
ℎ=��//�
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EJE I -I (VS - 117)
4.15m3.45m
Ancho de Viga (b)
0.25
Altura de Viga de Viga (h)=14 para vigas secundarias�
0.300.30
�=�/20
ℎ=��/�
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PREDIMENSIONAMIENTO DE COLUMNAS
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO I
DOCENTE: ING° SERRANO ZELADA OVIDIO
INTEGRANTES: FERNANDEZ RIOS, Joseph ManuelFALEN CHAVEZ ARROYO , JoseVILCHEZ PEREZ ,JoelGUTIERREZ VARGAS, Jorge
FECHA: 4/22/2016
DATOS BÁSICOS
Uso = ViviendaUbicación = Chiclayo
Suelo = Flexible y blando
Z = 0.40 Factor de ZonaU = 1.00
C = 2.50 Coeficiente de amplificación sísmicaS = 1.40
Area Edificada = 449.00f ´c (Kg/cm2) = 210.00fy (Kg/cm2) = 4200.00
Número de Pisos 52.950.3049.000.007
PREDMIENSIONAMIENTO DE COLUMNAS PARA SOLICITACIONES SÍSMICAS
Peralte de la columnaCortante por Sismoaltura del primer nivelNúmero de columnas
Módulo de elasticidad del concretoEspesor de la columna
Peso de la edificación 1692851.00 kgCortante por sismo 2369991.40 kg
h= 209.70cm
Categoría C: Edificaciones Comunes
Parámetro de suelo S3: Suelos Flexibles o con estratos de gran espesor
De la práctica se ha observado que las columnas deben dimensionarse por deformación para solicitaciones sísmicas , y utilizaremos la siguiente expresión para secciones cuadradas.
Factor de desplazamiento permisible (distorsión permanente)
�=((�_ ∗� 〖� _1〗 _^2)/
(�_�∗�∗�_� ))∗� ^(�⁄�)⁄⁄⁄⁄⁄⁄⁄⁄⁄⁄⁄ � =_�
� =_�=��
�=�_�=___________� =_��_�=___________�=�_�=___________
�=
� =_��=�_�=___________�=
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PREDIMENSIONAMIENTO DE COLUMNAS
UNIVERSIDAD SEÑOR DE SIPAN
DATOS BÁSICOS
Coeficiente de amplificación sísmica
PREDMIENSIONAMIENTO DE COLUMNAS PARA SOLICITACIONES SÍSMICAS
Peso de la edificación
Número de PisosArea de la edificación
0.30cm
210.00cm
Edificaciones Comunes
Parámetro de suelo S3: Suelos Flexibles o con estratos de gran espesor
De la práctica se ha observado que las columnas deben dimensionarse por deformación para solicitaciones sísmicas , y utilizaremos la siguiente expresión para secciones cuadradas.
��=����∗�_�
�_�=1 ^2 ��∕�∗�_�∗�_�
![Page 13: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/13.jpg)
PREDIMENSIONAMIENTO DE MUROS DE CORTE
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO I
DOCENTE: ING° SERRANO ZELADA OVIDIO
INTEGRANTES: FERNANDEZ RIOS, Joseph ManuelFALEN CHAVEZ ARROYO , JoseVILCHEZ PEREZ ,JoelGUTIERREZ VARGAS, Jorge
DATOS BÁSICOS
Uso = ViviendaUbicación = Chiclayo
Suelo = Flexible y blando
Z = 0.40 Factor de ZonaU = 1.00
C = 2.50 Coeficiente de amplificación sísmicaS = 1.40
Area Edificada = 449.00Peso Viv.(Tn) = 50.00f ´c (Kg/cm2) = 210.00fy (Kg/cm2) = 4200.00
Número de Pisos 5Espesor de Muro de Corte 0.25
Peso de la edificaciónNúmero de Pisos
Peralte de la columna Area de la edificaciónCortante por Sismoaltura del primer nivelNúmero de columnas
Módulo de elasticidad del concretoEspesor del muro de Corte
180.00cm
Peso de la edificación 1692851.00 kgCortante por sismo 2369991.40 kg
h= 178.08cm
25.00cm
Categoría C: Edificaciones Comunes
Parámetro de suelo S3: Suelos Flexibles o con estratos de gran espesor
Factor de desplazamiento permisible (distorsión permanente)
�=((�_ ∗� 〖� _1〗 _^2)/
(�_�∗�∗�_� ))∗� ^(�⁄�)⁄⁄⁄⁄⁄⁄⁄⁄⁄⁄⁄L=
=��=�_�=� _�
=�=�_�
�=
��=����∗�_�
� =_�� =_�
=��
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DATOS BÁSICOS
Uso Vivienda PESOS UNITARIOSUbicación Chiclayo
Suelo Flexible y blandoSistema Estructural Concreto Armado(Dual)
Z= 0.45U = 1.00C = 2.50S= 1.05R= 7Tp= 0.60
Area Edificada = 449.00 m2f ´c (Kg/cm2) = 210 kg/cm2fy (Kg/cm2) = 4200 kg/cm2
Parapeto de Azotea 1.20mEspesor de Losa 0.20mColumnas (C1) 0.30m* 0.30m
VigasX-X(VP) 0.25m* 0.40mY-Y(VS) 0.25m* 0.30m
1. VIGAS : 1.1. Vigas Principales:
Nivel Descripción
1,2,3,4,5 VP
Eje 11(F-H)-(Q-S)Eje 10 (D - F)-(S-U)Eje 10 (F - H)-(Q-S)Eje 10 (H - M)-(M-Q)Eje10 (C - D)-(U-V)Eje 9 (D - F)-(S-U)Eje 9 (F - H)-(Q-S)Eje 9 (H - M)-(M-Q)Eje 9 (C - D)-(U-V)Eje7 (D - F)-(S-U)Eje 7 (F - H)-(Q-S)Eje 7 (H - S)-(O-Q)Eje 7 (C - D)-(U-V)Eje 7 (K -N)Eje 6 (A - E)-(T-X)Eje 6 (E - G)-(R-T)Eje 6 (G - I)-(P-R)Eje 6 (I - P)Eje 4 (A - E)-(T-X)Eje 4 (E - G)-(R-T)Eje 4 (G - I)-(P-R)
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1,2,3,4,5 VP
Eje 4 (I - P)Eje 2 (A - E)-(T-X)Eje 2 (E - G)-(R-T)Eje 2 (G - I)-(P-R)
1.2. Vigas Secundarias:
Nivel Descripción
1,2,3,4,5 VS
Eje 10 (H - M)-(M-Q)Eje A-U (4 - 6)Eje D-R (6 - 7)Eje D-R (7 - 9)Eje D-R (9 - 10)Eje D-R (10 - 11)Eje E-Q (2 - 4)Eje E-Q (4 - 6)Eje F-P (6 - 7)Eje F-P (7 - 9)Eje F-P (9 - 10)Eje F-P (10 - 11)Eje G-O (2 - 4)Eje G-O (4 - 6)Eje G-O (1 - 2)Eje H-Q (6 - 7)Eje H-Q (7 - 9)Eje H-Q (9 - 10)Eje H-Q (10 - 11)Eje I-N (2 - 4)Eje I-N (4 - 6)Eje I-N (1 - 2)Eje K (4 - 6)Eje J-O (6 - 7)Eje M (9 - 10)Eje M (10 - 11)Eje M (8 - 9)Eje 8 (H - J)-(O-K)Eje 5 (L - P)
2. COLUMNAS :
Nivel DescripciónBase
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Nivel Descripción(m)
1° C-10.25
2 C-10.30
3° C-10.30
4° C-10.30
5° C-10.30
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3. ALIGERADO :
NivelArea(m2)
1,2,3,4,5 449.000
4. TABIQUERIA :
Nivel Area
1,2,3,4 449.00
5. ACABADOS :
NivelArea
1,2,3,4,5 449.00
6. MUROS PERIMETRALES :
NivelLongitud
(m)
128.9022.70
228.9022.70
328.9022.70
428.9022.70
528.9022.70
7. RESUMEN DE CARGAS
NIVEL COLUMNAS
5° 34.4544 29.3292 27.5184
4° 34.4544 29.3292 10.1088
3° 34.4544 29.3292 27.5184
2° 34.4544 29.3292 27.5184
(m²)
VIGAS PRINCIPALES
VIGAS SECUNDARIA
S
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2° 34.4544 29.3292 27.5184
1° 34.4544 29.3292 22.9320
172.27Tn 146.65Tn 115.60Tn
8.- DISTRIBUCIÓN DEL CORTANTE EN LA BASE (Vs):
8.1.- Parámetros sísmicos:
Donde:
Z = 0.45U = 1.00C = 2.50 C = 3.7Tp = 0.60Ct = 35 a.- Cálculo de la cortante basal:S = 1.05T = 0.40 Vs= 285.67TnR= 7
Pe = W = 1692.85
9.-Distribucion de la fuerza sismica por nivel:
Donde:
como:T Fa
NIVEL Wi hi Wi x hi Fi
5 342.97 14.15 4853.017 103.290
4 325.56 11.35 3695.104 78.646
3 342.97 8.55 2932.388 62.412
2 342.97 2.75 943.166 20.074
1 338.38 2.95 998.230 21.246
1692.85 13421.905 285.669
PexR
ZUCSVs
2.5 escoge escoge se mayor es si ,5.2)(*5.2 T
TpC
)(**
*faVS
hiwi
hiWiFi
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DATOS BÁSICOS
PESOS UNITARIOS
2.4
Base Altura Longitud PesoCant
Total
(m) (m) (m) (Tn)
0.25 0.40 3.30 2.40 2 1.5840.25 0.40 3.80 2.40 2 1.8240.25 0.40 3.30 2.40 2 1.5840.25 0.40 3.25 2.40 2 1.560.25 0.40 0.75 2.40 2 0.360.25 0.40 3.80 2.40 2 1.8240.25 0.40 3.30 2.40 2 1.5840.25 0.40 3.25 2.40 2 1.560.25 0.40 1.35 2.40 2 0.6480.25 0.40 3.80 2.40 2 1.8240.25 0.40 3.30 2.40 2 1.5840.25 0.40 2.28 2.40 2 1.09440.25 0.40 1.35 2.40 2 0.6480.25 0.40 1.20 2.40 1 0.2880.25 0.40 3.40 2.40 2 1.6320.25 0.40 3.25 2.40 2 1.560.25 0.40 3.40 2.40 2 1.6320.25 0.40 4.20 2.40 1 1.0080.25 0.40 3.40 2.40 2 1.6320.25 0.40 3.25 2.40 2 1.560.25 0.40 3.40 2.40 2 1.632
(Tn/m³)
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0.25 0.40 4.20 2.40 1 1.0080.25 0.40 3.40 2.40 2 1.6320.25 0.40 3.25 2.40 2 1.560.25 0.40 3.40 2.40 2 1.632
34.45
Base Altura Longitud PesoCant
Total
(m) (m) (m) (Tn)
0.25 0.30 3.25 2.40 2.00 1.170.25 0.30 3.05 2.40 2.00 1.100.25 0.30 2.70 2.40 2.00 0.970.25 0.30 3.40 2.40 2.00 1.220.25 0.30 3.40 2.40 2.00 1.220.25 0.30 3.20 2.40 2.00 1.150.25 0.30 3.20 2.40 2.00 1.150.25 0.30 4.45 2.40 2.00 1.600.25 0.30 2.70 2.40 2.00 0.970.25 0.30 3.40 2.40 2.00 1.220.25 0.30 3.40 2.40 2.00 1.220.25 0.30 3.20 2.40 2.00 1.150.25 0.30 3.20 2.40 2.00 1.150.25 0.30 4.45 2.40 2.00 1.600.25 0.30 0.75 2.40 2.00 0.270.25 0.30 2.70 2.40 2.00 0.970.25 0.30 3.40 2.40 2.00 1.220.25 0.30 3.40 2.40 2.00 1.220.25 0.30 3.20 2.40 2.00 1.150.25 0.30 3.20 2.40 2.00 1.150.25 0.30 4.45 2.40 2.00 1.600.25 0.30 0.75 2.40 2.00 0.270.25 0.30 4.45 2.40 1.00 0.800.25 0.30 2.70 2.40 2.00 0.970.25 0.30 3.40 2.40 1.00 0.610.25 0.30 3.20 2.40 1.00 0.580.25 0.30 1.58 2.40 1.00 0.280.25 0.30 2.28 2.40 2.00 0.820.25 0.30 2.65 2.40 1.00 0.48
29.33
Altura Longitud Peso Cant Total
(Tn/m³)
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(m) (m) (Tn)
0.30 2.60 2.40 49 22.93 22.93
0.30 2.60 2.40 49 27.52 27.52
0.30 2.60 2.40 49 27.52 27.52
0.30 2.60 2.40 18 10.11 10.11
0.30 2.60 2.40 49 27.52 27.52
115.60
(Tn/m³)
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Peso Total(Tn)
0.300 134.70134.70
Peso Total(Tn)
0.10 44.90∑ = 44.90
Peso Total(Tn)
0.10 44.90∑ = 44.90
Espesor Altura Peso Total(m) (m) (Tn)
0.15 2.60 1.35 15.21590.15 2.60 1.35 11.9516 ∑ = 27.16740.15 2.60 1.35 15.21590.15 2.60 1.35 11.9516 ∑ = 27.16740.15 2.60 1.35 15.21590.15 2.60 1.35 11.9516 ∑ = 27.16740.15 2.60 1.35 15.21590.15 2.60 1.35 11.9516 ∑ = 27.16740.15 2.60 1.35 15.21590.15 2.60 1.35 11.9516 ∑ = 27.1674
ALIGERADO TABIQUERIA ACABADOS Wi (tn)
134.7000 44.9000 44.9000 27.1674 342.9694
134.7000 44.9000 44.9000 27.1674 325.5598
134.7000 44.9000 44.9000 27.1674 342.9694
134.7000 44.9000 44.9000 27.1674 342.9694
(Tn/m²)
(Tn/m²)
(Tn/m²)
(Tn/m)
MUROS PERIMETRIC
OS
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134.7000 44.9000 44.9000 27.1674 342.9694
134.7000 44.9000 44.9000 27.1674 338.3830
673.50Tn 224.50Tn 224.50Tn 135.84Tn1692.85Tn
˃ 2.5
˂ 0.7= 0
Vi
103.29
181.94
244.35
264.42
285.67
2.5 escoge escoge se mayor es si ,5.2)(*5.2 T
TpC
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DISEÑO RESISTENCIA
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DISEÑO RESISTENCIA
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1° PISO Mmax= 3.52 Mmax= 3.81TRAMO 1 - 2 TRAMO 2 - 3'
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3'M- 2.17 0 3.52 2.47 0M+ 2.67 0.32 1.12 1.25 1.15Cortante (+) 1.6 3.59 0Cortante (-) 2.41 0.45 2.82
2.17 0.88 3.52 2.47 0.952.67 0.88 1.17 1.25 1.15
2° PISO Mmax= 3.71 Mmax= 4.39TRAMO 1 - 2 TRAMO 2 - 3'
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3'M- 2.71 0 3.71 2.7 0M+ 2.93 0.36 1.65 1.76 1.15Cortante (+) 1.81 3.75 0Cortante (-) 2.86 0.85 2.92
2.71 0.93 3.71 2.70 1.102.93 0.93 1.65 1.76 1.15
3° PISO Mmax= 3.84 Mmax= 4.65TRAMO 1 - 2 TRAMO 2 - 3'
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3'M- 2.89 0 3.84 2.71 0M+ 3.08 0.39 1.81 2.06 1.15Cortante (+) 1.93 3.85 0.15Cortante (-) 3.01 0.97 2.92
2.89 0.96 3.84 2.71 1.163.08 0.96 1.81 2.06 1.16
4° PISO Mmax= 2.84 Mmax= 4.21TRAMO 1 - 2 TRAMO 2 - 3'
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3'm- 2.19 0 2.84 2.26 0m+ 2 0.33 1.14 1.51 1.2Cortante (+) 1.09 3.04 0Cortante (-) 2.45 0.45 2.72
2.19 0.71 2.84 2.26 1.05
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2.00 0.71 1.14 1.51 1.20
5° PISO
m-m+Cortante (+)Cortante (-)
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Mmax= 2.33 Mmax= 3.55TRAMO 2 - 3' TRAMO 3' - 4 TRAMO 4 - 5
NUDO 3' NUDO 3' CLARO 3'-4 NUDO 4 NUDO 4 CLARO 4-53.81 1.41 0.34 2.33 2.18 00.01 1.95 0.34 1.03 1.81 0.73.46 1.45 2.08 0.55
0 1.33 0.69 2.49
3.81 1.41 0.58 2.33 2.18 0.891.27 1.95 0.58 1.03 1.81 0.89
Mmax= 2.71 Mmax= 3.77TRAMO 2 - 3' TRAMO 3' - 4 TRAMO 4 - 5
NUDO 3' NUDO 3' CLARO 3'-4 NUDO 4 NUDO 4 CLARO 4-54.39 1.68 0.41 2.71 2.71 00.26 2.3 0.41 1.36 2.13 0.743.76 1.73 2.39 0.750.72 1.56 0.95 2.85
4.39 1.68 0.68 2.71 2.71 0.941.46 2.30 0.68 1.36 2.13 0.94
Mmax= 3.96 Mmax= 3.96TRAMO 2 - 3' TRAMO 3' - 4 TRAMO 4 - 5
NUDO 3' NUDO 3' CLARO 3'-4 NUDO 4 NUDO 4 CLARO 4-54.65 2.75 0 3.96 2.75 0
0.3 2.21 0.69 1.16 2.21 0.683.91 0.83 3.6 0.830.69 2.85 0.06 2.85
4.65 2.75 0.99 3.96 2.75 0.991.55 2.21 0.99 1.32 2.21 0.99
Mmax= 2.51 Mmax= 3.63TRAMO 2 - 3' TRAMO 3' - 4 TRAMO 4 - 5
NUDO 3' NUDO 3' CLARO 3'-4 NUDO 4 NUDO 4 CLARO 4-54.21 1.56 0.43 2.51 2.54 0
0 1.92 0.32 1.19 2 0.773.67 1.49 2.14 0.680.88 1.43 0.82 2.78
4.21 1.56 0.63 2.51 2.54 0.91
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1.40 1.92 0.63 1.19 2.00 0.91
Mmax= 2 Mmax= 2.81TRAMO 3' - 4 TRAMO 4 - 5
NUDO 3' CLARO 3'-4 NUDO 4 NUDO 4 CLARO 4-50 0.67 2 2.52 0
0.25 0 0 1.63 0.510.56 1.28 0.470.06 0.48 2.36
0.50 0.67 2.00 2.52 0.700.50 0.50 0.67 1.63 0.70
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Mmax= 3.36TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 63.55 2.63 0 3.360.63 1.13 0.06 0.143.36 0 2.320.27 2.83 0.49
3.55 2.63 0.84 3.361.18 1.13 0.84 1.12
Mmax= 2.58TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 63.77 2.58 0 0.441.16 1.69 0.64 0.333.51 0 00.05 2.97 4.13
3.77 2.58 0.65 0.651.26 1.69 0.65 0.84
Mmax= 4.04TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 63.96 2.99 0 4.041.16 1.61 1 0.25
3.6 0 2.620.06 3.58 0
3.96 2.99 1.01 4.041.32 1.61 1.01 1.35
Mmax= 3.88TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 63.63 2.29 0 3.881.08 1.85 0.64 0.163.42 0 2.390.04 2.87 0
3.63 2.29 0.97 3.88
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1.21 1.85 0.97 1.29
Mmax= 3.05TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 62.81 1.65 0 3.050.81 1.13 0.92 02.71 0 2.140.06 2.16 0
2.81 1.65 0.76 3.050.94 1.13 0.92 1.02
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1° PISO Mmax= 1.2 Mmax= 5.68TRAMO 2 - 3' TRAMO 4 - 5
NUDO 2 CLARO 2-3' NUDO 3' NUDO 4 CLARO 4-5M- 1.2 0 -5.27 2.63 0M+ 0.12 1.92 0 2.51 1.24Cortante (+) 0 4.87 0.61Cortante (-) 3.18 0 3.86
1.20 0.30 0.30 2.63 1.420.40 1.92 0.30 2.51 1.42
2° PISO Mmax= 5.9 Mmax= 5.5TRAMO 2 - 3' TRAMO 4 - 5
NUDO 2 CLARO 2-3' NUDO 3' NUDO 4 CLARO 4-5M- 1.31 0 5.9 3.66 0M+ 0.46 2 0 3.1 1.44Cortante (+) 0 4.91 0.9Cortante (-) 3.24 0 4.61
1.48 1.48 5.90 3.66 1.381.48 2.00 1.97 3.10 1.44
3° PISO Mmax= 5.72 Mmax= 5.49TRAMO 2 - 3' TRAMO 4 - 5
NUDO 2 CLARO 2-3' NUDO 3' NUDO 4 CLARO 4-5M- 1.18 0 5.72 3.92 0M+ 0.57 1.48 0 3.05 1.31Cortante (+) 0 4.3 0.88Cortante (-) 2.88 0 4.71
1.43 1.43 5.72 3.92 1.371.43 1.48 1.91 3.05 1.37
4° PISO
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TRAMO 2 - 3' TRAMO 4 - 5NUDO 2 CLARO 2-3' NUDO 3' NUDO 4 CLARO 4-5
M- 1.29 0 5.97 4.48 0M+ 0.44 1.97 0 2.52 1.48Cortante (+) 0 4.93 0.49Cortante (-) 3.18 0 5.15
1.29 0.00 5.97 4.48 0.000.44 1.97 1.99 2.52 1.48
5° PISOTRAMO 4 - 5
NUDO 4 CLARO 4-5M- 3.47 0M+ 2.13 0.96
0.43.85
3.47 0.002.13 0.96
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Mmax= 5.68TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 65.68 5.68 0 3.33
0 0 3.63 05.52 0 4.71
0 6.9 0
5.68 5.68 1.42 3.331.89 1.89 3.63 1.42
Mmax= 3.78TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 65.5 3.78 0 3.27
0 0.42 2.4 05.53 0 3.97
0 5.34 0
5.50 3.78 0.95 3.271.83 1.26 2.40 1.09
Mmax= 4.97TRAMO 4 - 5 TRAMO 5 - 6
NUDO 5 NUDO 5 CLARO 5-6 NUDO 65.49 4.97 0 3.78
0 0 3.45 05.49 0 5.16
0 7 0
5.49 4.97 1.24 3.781.83 1.66 3.45 1.26
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TRAMO 4 - 5 TRAMO 5 - 6NUDO 5 NUDO 5 CLARO 5-6 NUDO 6
4.52 3.33 0 3.480.19 0.5 2.47 04.93 0 4.141.95 5.19 0
4.52 3.33 0.00 3.481.51 1.11 2.47 1.16
TRAMO 5 - 6NUDO 5 NUDO 5 CLARO 5-6 NUDO 6
3.68 3.1 0 2.820.04 0 3.05 03.87 0 3.86
0 4.77 0
3.68 3.10 0.00 2.821.23 1.03 3.05 0.94
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1° PISO Mmax= 2.86TRAMO 1 - 2
NUDO 1 CLARO 1-2 NUDO 2M- 1.5 0 2.86M+ 2.46 1.47 0Cortante (+) 0.45 3.94Cortante (-) 2.73 0
1.50 0.72 2.862.46 1.47 0.95
2° PISO Mmax= 3.13TRAMO 1 - 2
NUDO 1 CLARO 1-2 NUDO 2M- 1.43 0 3.13M+ 2.81 1.56 0Cortante (+) 0.67 4.18Cortante (-) 2.67 0
1.43 0.78 3.132.81 1.56 1.04
3° PISO Mmax= 2.85TRAMO 1 - 2
NUDO 1 CLARO 1-2 NUDO 2M- 1.33 0 2.85M+ 2.69 1.61 0Cortante (+) 0.55 4.05Cortante (-) 2.65 0
1.33 0.71 2.852.69 1.61 0.95
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4° PISO Mmax= 2.21TRAMO 1 - 2
NUDO 1 CLARO 1-2 NUDO 2M- 1.26 0 2.21M+ 1.64 1.38 0Cortante (+) 0 3.44Cortante (-) 2.64 0
1.26 0.55 2.211.64 1.38 0.74
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1° PISO Mmax= 5.19TRAMO 2 - 3
NUDO 2 CLARO 2-3 NUDO 3M- 0.83 0.3 5.19M+ 1.84 1.23 0Cortante (+) 0.74 4.71Cortante (-) 2.47 0
1.30 1.30 5.191.84 1.30 1.73
2° PISO Mmax= 4.4TRAMO 2 - 3
NUDO 2 CLARO 2-3 NUDO 3M- 0.83 0 4.4M+ 1.87 1.15 0Cortante (+) 0.46 4.65Cortante (-) 2.4 0
1.10 1.10 4.401.87 1.15 1.47
3° PISO Mmax= 6.27TRAMO 2 - 3
NUDO 2 CLARO 2-3 NUDO 3M- 0.68 1.06 6.27M+ 2.34 0.52 0Cortante (+) 1.2 5.09Cortante (-) 2.35 0
1.57 1.57 6.272.34 1.57 2.09
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4° PISO Mmax= 2.96TRAMO 2 - 3
NUDO 2 CLARO 2-3 NUDO 3M- 0.71 0 2.96M+ 0.93 1.26 0Cortante (+) 0 3.85Cortante (-) 2.43 0
0.74 0.74 2.960.93 1.26 0.99
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1° PISO Mmax= 6 Mmax= 6.35TRAMO 1 - 2 TRAMO 2 - 3
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3M- 1 0 6 0.96 0M+ 5.19 0.48 0 5 0.95Cortante (+) 3.39 5.88 2.76Cortante (-) 1.9 0 2.28
1.73 1.50 6.00 1.67 1.595.19 1.50 2.00 5.00 1.59
2° PISO Mmax= 6.39 Mmax= 7.59TRAMO 1 - 2 TRAMO 2 - 3
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3M- 1.13 0 6.39 0.79 0M+ 5.57 0.54 0 6.21 1.04Cortante (+) 3.72 6.17 3.63Cortante (-) 2.08 0 2.16
1.86 1.60 6.39 2.07 1.905.57 1.60 2.13 6.21 1.90
3° PISO Mmax= 5.7 Mmax= 7.48TRAMO 1 - 2 TRAMO 2 - 3
NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3M- 1.21 0 5.7 0.64 0M+ 4.9 0.51 0 6.04 1.03Cortante (+) 3.2 5.62 3.5Cortante (-) 2.14 0 2.05
1.63 1.43 5.70 2.01 1.874.90 1.43 1.90 6.04 1.87
4° PISO Mmax= 3.55 Mmax= 5.48
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TRAMO 1 - 2 TRAMO 2 - 3NUDO 1 CLARO 1-2 NUDO 2 NUDO 2 CLARO 2-3
M- 1.09 0 3.55 0.62 0M+ 2.77 0.5 0 4.09 0.97Cortante (+) 1.51 3.95 2.09Cortante (-) 2.06 0 2.08
1.09 0.89 3.55 1.37 1.372.77 0.89 1.18 4.09 1.37
5° PISO
M-M+Cortante (+)Cortante (-)
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Mmax= 6.04 Mmax= 4.74TRAMO 2 - 3 TRAMO 3 - 3' TRAMO 3' - 4
NUDO 3 NUDO 3 CLARO 3-3' NUDO 3' NUDO 3' CLARO 3'-46.35 0.1 1.36 6.04 0.7 0
0 4.06 0.06 0 3.82 0.435.97 9.93 10.77 2.61
0 0.03 0 1.66
6.35 1.51 1.51 6.04 1.27 1.192.12 4.06 1.51 2.01 3.82 1.19
Mmax= 6.16 Mmax= 5.03TRAMO 2 - 3 TRAMO 3 - 3' TRAMO 3' - 4
NUDO 3 NUDO 3 CLARO 3-3' NUDO 3' NUDO 3' CLARO 3'-47.59 0 1.51 6.16 0.62 0.09
0 4.19 0 0 4.19 0.096.88 10.16 11.11 3.45
0 0 0 0.98
7.59 1.54 1.54 6.16 1.40 1.262.53 4.19 1.54 2.05 4.19 1.26
Mmax= 5.24 Mmax= 4.72TRAMO 2 - 3 TRAMO 3 - 3' TRAMO 3' - 4
NUDO 3 NUDO 3 CLARO 3-3' NUDO 3' NUDO 3' CLARO 3'-47.48 0 1.5 5.24 1.03 0.01
0 3.4 0 0 3.98 0.386.8 8.47 9.3 2.69
0 0 0 1.88
7.48 1.31 1.50 5.24 1.33 1.182.49 3.40 1.31 1.75 3.98 1.18
Mmax= 3.31 Mmax= 3.94
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TRAMO 2 - 3 TRAMO 3 - 3' TRAMO 3' - 4NUDO 3 NUDO 3 CLARO 3-3' NUDO 3' NUDO 3' CLARO 3'-4
5.48 0.18 1.33 3.31 1.02 00 1.4 0 0 3.14 0.39
5.37 3.98 4.99 2.010 0 0 1.89
5.48 0.83 1.33 3.31 1.05 0.991.83 1.40 0.83 1.10 3.14 0.99
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Mmax= 6.07 Mmax= 6.9TRAMO 3' - 4 TRAMO 4 - 5 TRAMO 5 - 6
NUDO 4 NUDO 4 CLARO 4-5 NUDO 5 NUDO 5 CLARO 5-64.74 1.91 0 6.07 3.13 0
0 3.77 0.87 0 2.52 2.044.77 1.67 5.25 0
0 2.83 0 4.28
4.74 1.91 1.52 6.07 3.13 1.731.58 3.77 1.52 2.02 2.52 2.04
Mmax= 6.37 Mmax= 7.59TRAMO 3' - 4 TRAMO 4 - 5 TRAMO 5 - 6
NUDO 4 NUDO 4 CLARO 4-5 NUDO 5 NUDO 5 CLARO 5-65.03 2.22 0 6.37 2.91 0
0 4.2 0.95 0 3.14 24.51 1.97 5.45 0.18
0 3.09 0 4.15
5.03 2.22 1.59 6.37 2.91 1.901.68 4.20 1.59 2.12 3.14 2.00
Mmax= 5.55 Mmax= 7.23TRAMO 3' - 4 TRAMO 4 - 5 TRAMO 5 - 6
NUDO 4 NUDO 4 CLARO 4-5 NUDO 5 NUDO 5 CLARO 5-64.72 2.54 0 5.55 2.73 0
0 3.5 0.99 0 2.77 2.034.77 1.53 4.93 0
0 3.3 0 4.08
4.72 2.54 1.39 5.55 2.73 1.811.57 3.50 1.39 1.85 2.77 2.03
Mmax= 4.7 Mmax= 6.89
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TRAMO 3' - 4 TRAMO 4 - 5 TRAMO 5 - 6NUDO 4 NUDO 4 CLARO 4-5 NUDO 5 NUDO 5 CLARO 5-6
3.94 2.73 0 4.7 2.54 00 2.73 0.96 0.15 2.34 2
4.11 1.02 4.39 00 3.41 0.74 3.98
3.94 2.73 1.18 4.70 2.54 1.721.31 2.73 1.18 1.57 2.34 2.00
Mmax= 3.56 Mmax= 4.9TRAMO 4 - 5 TRAMO 5 - 6
NUDO 4 CLARO 4-5 NUDO 5 NUDO 5 CLARO 5-61.9 0 3.56 1.67 0
2.42 0.81 0.11 1.53 1.680.79 3.49 02.53 0 2.98
1.90 0.89 3.56 1.67 1.232.42 0.89 1.52 1.53 1.68
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TRAMO 5 - 6NUDO 6
6.90
5.520
6.902.30
TRAMO 5 - 6NUDO 6
7.590
5.850
7.592.53
TRAMO 5 - 6NUDO 6
7.230
5.690
7.232.41
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TRAMO 5 - 6NUDO 6
6.890
5.530
6.892.30
TRAMO 5 - 6NUDO 6
4.90
4.130
4.901.63
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1° PISO Mmax= 3.7681 Mmax= 3.8515TRAMO A-B' TRAMO B'-D
NUDO A CLARO A-B' NUDO B' NUDO B' CALRO B'-DMomento (-) 3.7681 0 1.8068 3.8515 0Momento (+) 0 1.0885 1.3944 0.6751 1.1822Cortante (+) 0 2.7431 0Cortante (-) 3.5681 0.1693 3.8017
3.77 0.94 1.81 3.85 0.961.26 1.09 1.39 1.28 1.18
2° PISO Mmax= 4.3393 Mmax= 4.1851TRAMO A-B' TRAMO B'-D
NUDO A CLARO A-B' NUDO B' NUDO B' CALRO B'-DMomento (-) 4.3393 0 1.675 4.1851 0Momento (+) 0 1.081 1.8544 0 1.213Cortante (+) 0 2.6587 0Cortante (-) 3.8954 0.4653 4.0184
4.34 1.08 1.68 4.19 1.051.45 1.08 1.85 1.40 1.21
3° PISO Mmax= 4.2564 Mmax= 4.0142TRAMO A-B' TRAMO B'-D
NUDO A CLARO A-B' NUDO B' NUDO B' CALRO B'-DMomento (-) 4.2564 0 1.5716 4.0142 0Momento (+) 0 1.0723 1.7473 0 1.2057Cortante (+) 0 2.5907 0Cortante (-) 3.8493 0.3943 3.915
4.26 1.06 1.57 4.01 1.001.42 1.07 1.75 1.34 1.21
4° PISO Mmax= 2.8806 Mmax= 3.0953
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TRAMO A-B' TRAMO B'-DNUDO A CLARO A-B' NUDO B' NUDO B' CALRO B'-D
Momento (-) 2.8806 0 0 3.0953 0Momento (+) 0 1.1516 1.699 0 1.2281Cortante (+) 0 2.716 0Cortante (-) 3.0924 0 3.3765
2.88 0.72 0.72 3.10 0.770.96 1.15 1.70 1.03 1.23
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TRAMO B'-DNUDO D1.50171.80632.56680.1081
1.50 3.851.81
TRAMO B'-DNUDO D1.58582.22072.59660.3309
1.59 4.342.22
TRAMO B'-DNUDO D1.60662.04292.60860.2326
1.61 4.262.04
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TRAMO B'-DNUDO D1.37081.042
2.54560
1.37 3.101.04
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1° PISO Mmax= 7.916 Mmax= 13.9783TRAMO A-B' TRAMO C-D
NUDO A CLARO A-B' NUDO B' NUDO C CALRO C-DMomento (-) 5.85 1.8974 0.1857 13.9783 0.0956Momento (+) 0.2062 1.8461 7.916 0 2.053Cortante (+) 0 2.5349 0Cortante (-) 10.8347 6.3752 11.7326
5.85 1.98 2.64 13.98 3.491.98 1.98 7.92 4.66 3.49
2° PISO Mmax= 6.16 Mmax= 6.52TRAMO A-B' TRAMO C-D
NUDO A CLARO A-B' NUDO B' NUDO C CALRO C-DMomento (-) 6.16 2.8931 0.1323 6.52 0.1232Momento (+) 0.1359 1.6686 5.3177 0 2.4503Cortante (+) 0 2.374 0Cortante (-) 12.7781 8.2251 13.5826
6.16 2.89 1.77 6.52 1.632.05 1.67 5.32 2.17 2.45
3° PISO Mmax= 8.9611 Mmax= 5.5528TRAMO A-B' TRAMO C-D
NUDO A CLARO A-B' NUDO B' NUDO C CALRO C-DMomento (-) 5.8325 2.8449 0.0173 5.5528 0.0577Momento (+) 0 1.5654 8.9611 0 2.4238Cortante (+) 0 2.211 0Cortante (-) 12.4967 7.9133 13.0822
5.83 2.84 2.99 5.55 1.392.24 2.24 8.96 1.85 2.42
4° PISO Mmax= 6.003 Mmax= 7.2729TRAMO A-B' TRAMO C-D
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NUDO A CLARO A-B' NUDO B' NUDO C CALRO C-DMomento (-) 5.2126 1.0199 0 6.3432 0Momento (+) 0 2.0136 6.003 0 1.8289Cortante (+) 0 2.1986 0Cortante (-) 9.3717 4.9002 9.8717
5.21 1.50 2.00 6.34 1.821.74 2.01 6.00 2.11 1.83
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TRAMO C-DNUDO D1.9264
6.583.13647.0832
3.496.58
TRAMO C-DNUDO D1.89463.946
3.09788.9389
1.893.95
TRAMO C-DNUDO D1.70613.29152.94948.4195
1.713.29
TRAMO C-D
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NUDO D1.03087.27292.70985.1272
2.427.27
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1° PISO Mmax= 4.6415TRAMO C-D
NUDO C CALRO C-D NUDO DMomento (-) 4.6415 0 1.1236Momento (+) 0.3159 1.0299 3.3208Cortante (+) 0 1.9057Cortante (-) 4.2128 1.3751
4.64 1.16 1.161.55 1.16 3.32
2° PISO Mmax= 5.1332TRAMO C-D
NUDO C CALRO C-D NUDO DMomento (-) 5.1332 0 1.4927Momento (+) 0.0073 1.2741 4.0908Cortante (+) 0 2.2009Cortante (-) 4.8444 1.9725
5.13 1.28 1.491.71 1.28 4.09
3° PISO Mmax= 5.6473TRAMO C-D
NUDO C CALRO C-D NUDO DMomento (-) 5.6473 0 1.1789Momento (+) 0.0549 1.0331 4.0987Cortante (+) 0 1.8905Cortante (-) 4.8344 1.9417
5.65 1.41 1.411.88 1.41 4.10
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4° PISO Mmax= 3.385TRAMO C-D
NUDO C CALRO C-D NUDO DMomento (-) 3.385 0 1.3481Momento (+) 0.0117 1.2311 2.6297Cortante (+) 0 2.1795Cortante (-) 3.6679 0.9304
3.39 0.85 1.351.13 1.23 2.63
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1° PISO Mmax= 5.1208 Mmax= 3.112TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 5.1208 0 0.8262 3.112 0Momento (+) 0 0.4874 4.2394 0 0.826Cortante (+) 0 1.4056 0Cortante (-) 4.6286 2.9903 2.0766
5.12 1.28 1.41 3.11 0.781.71 1.28 4.24 1.04 0.83
2° PISO Mmax= 6.5065 Mmax= 3.7176TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.5065 0 1.1708 3.7176 0.0055Momento (+) 0.0024 0.4824 5.8264 0 1.1412Cortante (+) 0 1.4639 0Cortante (-) 5.8017 4.1463 4.6997
6.51 1.63 1.94 3.72 0.932.17 1.63 5.83 1.24 1.14
3° PISO Mmax= 6.3604 Mmax= 3.9135TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.3604 0 0.7309 3.9135 0Momento (+) 0 0.476 5.726 0 0.843Cortante (+) 0 1.3446 0Cortante (-) 5.707 4.0465 2.421
6.36 1.59 1.91 3.91 0.98
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2.12 1.59 5.73 1.30 0.98
4° PISO Mmax= 5.4609 Mmax= 3.8758TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 5.4609 0 1.0005 3.8758 0Momento (+) 0 0.5981 5.0869 0 1.0766Cortante (+) 0 1.3734 0Cortante (-) 5.0973 3.4498 3.0906
5.46 1.37 1.70 3.88 0.971.82 1.37 5.09 1.29 1.08
5° PISO Mmax= 1.7512 Mmax= 2.9952TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 0.378 0.6272 1.7512 2.9952 0Momento (+) 0.0867 0 0 0 0.5458Cortante (+) 0.3991 1.0424 0Cortante (-) 0.3443 0 2.0422
0.44 0.63 1.75 3.00 0.750.44 0.44 0.58 1.00 0.75
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TRAMO B-DNUDO D1.18872.23922.16570.3675
1.192.24
TRAMO B-DNUDO D
1.1093.29441.548
1.2285
1.113.29
TRAMO B-DNUDO D1.22552.89912.21310.7517
1.23
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2.90
TRAMO B-DNUDO D1.29282.34582.32480.3686
1.292.35
TRAMO B-DNUDO D0.0382
00
0.1388
0.750.75
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1° PISO Mmax= 5.5271 Mmax= 5.3808TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 5.5271 0 1.256 5.3808 0Momento (+) 0 0.3355 4.5306 0 2.1139Cortante (+) 0 1.6545 0Cortante (-) 4.8564 3.2657 4.5006
5.53 1.38 1.51 5.38 1.351.84 1.38 4.53 1.79 2.11
2° PISO Mmax= 7.114 Mmax= 5.8283TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 7.114 0 1.0524 5.8283 0Momento (+) 0 0.3731 6.2617 0 1.6736Cortante (+) 0 1.5244 0Cortante (-) 6.1891 4.5473 4.5128
7.11 1.78 2.09 5.83 1.462.37 1.78 6.26 1.94 1.67
3° PISO Mmax= 6.5315 Mmax= 6.3608TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.5315 0 1.1365 6.3608 0Momento (+) 0 0.3587 6.0658 0 2.0986Cortante (+) 0 1.5631 0Cortante (-) 5.9888 4.3619 4.9358
6.53 1.63 2.02 6.36 1.592.18 1.63 6.07 2.12 2.10
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4° PISO Mmax= 6.3292 Mmax= 6.2152TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.3292 0 1.0302 6.2152 0Momento (+) 0 0.4122 5.6419 0 2.0746Cortante (+) 0 1.4945 0Cortante (-) 5.6386 3.9899 4.8169
6.33 1.58 1.88 6.22 1.552.11 1.58 5.64 2.07 2.07
5° PISO Mmax= 3.8165 Mmax= 4TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 3.8165 0.0487 1.4327 4 0Momento (+) 0 0.0527 2.7536 0 1.7582Cortante (+) 0 1.4841 0Cortante (-) 3.2564 2.0071 3.6261
3.82 0.95 1.43 4.00 1.001.27 0.95 2.75 1.33 1.76
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TRAMO B-DNUDO D2.77211.67214.1036
0
2.771.67
TRAMO B-DNUDO D2.16292.778
2.99840.252
2.162.78
TRAMO B-DNUDO D2.70712.41824.0692
0
2.712.42
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TRAMO B-DNUDO D2.75632.11794.0933
0
2.762.12
TRAMO B-DNUDO D2.04551.35295.1458
0
2.051.35
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1° PISO Mmax= 8.0797 Mmax= 8.3438TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 8.0797 -0.0543 1.6022 8.3438 0Momento (+) 0 0.4995 6.0644 0 2.7884Cortante (+) 0 2.4962 0Cortante (-) 7.7152 4.9913 7.3835
8.08 2.02 2.02 8.34 2.092.69 2.02 6.06 2.78 2.79
2° PISO Mmax= 10.6175 Mmax= 9.7824TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 10.6175 0.1404 0.8513 9.7824 0Momento (+) 0 0.3852 8.4917 0 2.7237Cortante (+) 0 1.652 0Cortante (-) 9.7337 7.2162 8.1044
10.62 2.65 2.83 9.78 2.453.54 2.65 8.49 3.26 2.72
3° PISO Mmax= 6.1735 Mmax= 6.6756TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.1735 0.104 0.5984 6.6756 0Momento (+) 0 0.4455 5.0752 0 2.7458Cortante (+) 0 1.4893 0Cortante (-) 9.4004 6.8222 8.0494
6.17 1.54 1.69 6.68 1.672.06 1.54 5.08 2.23 2.75
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4° PISO Mmax= 6.9123 Mmax= 5.8903TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.0607 0.073 0.3993 5.8903 0Momento (+) 0 0.3849 6.9123 0 2.7402Cortante (+) 0 1.2635 0Cortante (-) 8.4367 5.7841 7.6173
6.06 1.73 2.30 5.89 1.472.02 1.73 6.91 1.96 2.74
5° PISO Mmax= 5.6421 Mmax= 6.0629TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 5.6421 0 0.566 6.0629 0Momento (+) 0 0.3631 3.6757 0 2.1517Cortante (+) 0 1.3211 0Cortante (-) 5.3712 3.0072 5.4811
5.64 1.41 1.41 6.06 1.521.88 1.41 3.68 2.02 2.15
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TRAMO B-DNUDO D3.96923.36865.5462
0
3.973.37
TRAMO B-DNUDO D4.22974.881
5.64530.6553
4.234.88
TRAMO B-DNUDO D
4.154.74315.61620.5901
4.154.74
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TRAMO B-DNUDO D4.26873.85715.67340.1775
4.273.86
TRAMO B-DNUDO D
2.8392.51894.0947
0
2.842.52
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1° PISO Mmax= 4.5922 Mmax= 5.4746TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 4.5922 0.1996 0.8336 5.4746 0.2091Momento (+) 0.1282 1.1254 4.1648 0 1.4689Cortante (+) 6.699 5.0722 2.0092Cortante (-) 0 1.5017 2.6403
4.59 1.15 1.39 5.47 1.371.53 1.15 4.16 1.82 1.47
2° PISO Mmax= 6.4839 Mmax= 5.9731TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 5.3345 0.3883 0.6147 5.9731 0.3908Momento (+) 0.2064 0.9678 6.4839 0 1.4442Cortante (+) 7.9307 6.2788 5.9498Cortante (-) 0 0.8957 6.1518
5.33 1.62 2.16 5.97 1.491.78 1.62 6.48 1.99 1.49
3° PISO Mmax= 8.1069 Mmax= 6.8676TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 6.0321 0.3909 0.5259 6.8676 0.3762Momento (+) 0.0758 1.3437 8.1069 0 1.4383Cortante (+) 8.0056 5.9002 7.0631Cortante (-) 0 0.9575 0
6.03 2.03 2.70 6.87 1.722.03 2.03 8.11 2.29 1.72
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4° PISO Mmax= 6.3185 Mmax= 5.1348TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 5.1915 0.2887 0.3401 5.1348 0.121Momento (+) 0 0.7177 6.3185 0 1.4443Cortante (+) 6.1344 4.655 6.2633Cortante (-) 0 0.6368 0
5.19 1.58 2.11 5.13 1.281.73 1.58 6.32 1.71 1.44
5° PISO Mmax= 4.1832 Mmax= 6.4795TRAMO A-B TRAMO B-D
NUDO A CLARO A-B NUDO B NUDO B CALRO B-DMomento (-) 4.1416 0 0.4724 6.4795 0.1159Momento (+) 0 0.9299 4.1832 0 1.1334Cortante (+) 4.0594 2.6409 4.4867Cortante (-) 0 1.1099 0
4.14 1.05 1.39 6.48 1.621.38 1.05 4.18 2.16 1.62
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TRAMO B-DNUDO D1.63425.21793.47757.573
1.745.22
TRAMO B-DNUDO D1.71774.64972.77762.6683
1.724.65
TRAMO B-DNUDO D1.64766.43382.66782.6321
2.146.43
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TRAMO B-DNUDO D1.74075.04121.88322.6793
1.745.04
TRAMO B-DNUDO D1.07583.09541.03931.9481
1.623.10
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DISEÑO RESISTENCIA
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DISEÑO RESISTENCIA
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DISEÑO DE VIGAS EJE A-A
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO NEGATIVO
NUDO 1 CLARO 1 - 2Mu= 10.13 tn-m Mu= 0.89 tn-mVu= 8.56 tn Vu= 7.33 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.82 cm² 8.30 cm 0.77 cm² 0.73 cm9.04 cm² 8.51 cm 0.70 cm² 0.66 cm9.08 cm² 8.54 cm 0.70 cm² 0.66 cm9.08 cm² 8.55 cm 0.70 cm² 0.66 cm9.08 cm² 8.55 cm 0.70 cm² 0.66 cm9.08 cm² 8.55 cm 0.70 cm² 0.66 cm
As= 9.08 cm² As= 0.70 cm²a= 8.55 cm a= 0.66 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 9.26 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217
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Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.205 ok bm= 15.625 ok
ACERO POSITIVO
NUDO 1 CLARO 1 - 2Mu= 10.13 tn-m Mu= 0.89 tn-mVu= 8.56 tn Vu= 7.33 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.82 cm² 8.30 cm 0.77 cm² 0.73 cm9.04 cm² 8.51 cm 0.70 cm² 0.66 cm9.08 cm² 8.54 cm 0.70 cm² 0.66 cm9.08 cm² 8.55 cm 0.70 cm² 0.66 cm9.08 cm² 8.55 cm 0.70 cm² 0.66 cm9.08 cm² 8.55 cm 0.70 cm² 0.66 cm
As= 9.08 cm² As= 0.70 cm²a= 8.55 cm a= 0.66 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 9.26 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.205 ok bm= 15.625 ok
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ACERO NEGATIVO
NUDO 2 CLARO 2 - 3'Mu= 8.00 tn-m Mu= 1.53 tn-mVu= 5.65 tn Vu= 3.35 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.96 cm² 6.55 cm 1.33 cm² 1.25 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm
As= 6.94 cm² As= 1.22 cm²a= 6.53 cm a= 1.15 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
ACERO POSITIVO
NUDO 2 CLARO 2 - 3'Mu= 8.00 tn-m Mu= 1.53 tn-mVu= 5.65 tn Vu= 3.35 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cm
![Page 81: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/81.jpg)
Ф 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.96 cm² 6.55 cm 1.33 cm² 1.25 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm6.94 cm² 6.53 cm 1.22 cm² 1.15 cm
As= 6.94 cm² As= 1.22 cm²a= 6.53 cm a= 1.15 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
![Page 82: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/82.jpg)
ACERO NEGATIVO
NUDO 3' CLARO 3' - 4Mu= 7.23 tn-m Mu= 1.41 tn-mVu= 6.02 tn Vu= 5.65 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.29 cm² 5.92 cm 1.23 cm² 1.15 cm6.21 cm² 5.84 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm
As= 6.20 cm² As= 1.12 cm²a= 5.83 cm a= 1.06 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
ACERO NEGATIVO
NUDO 3' CLARO 3' - 4Mu= 7.23 tn-m Mu= 1.41 tn-mVu= 6.02 tn Vu= 5.65 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cm
![Page 83: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/83.jpg)
Ф 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.29 cm² 5.92 cm 1.23 cm² 1.15 cm6.21 cm² 5.84 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm6.20 cm² 5.83 cm 1.12 cm² 1.06 cm
As= 6.20 cm² As= 1.12 cm²a= 5.83 cm a= 1.06 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.31 m Ld= 0.45 m
![Page 84: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/84.jpg)
NUDO 4 CLARO 4 - 5Mu= 8.35 tn-m Mu= 1.14 tn-mVu= 6.88 tn Vu= 5.20 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.27 cm² 6.84 cm 0.99 cm² 0.93 cm7.28 cm² 6.85 cm 0.91 cm² 0.85 cm7.28 cm² 6.85 cm 0.90 cm² 0.85 cm7.28 cm² 6.85 cm 0.90 cm² 0.85 cm7.28 cm² 6.85 cm 0.90 cm² 0.85 cm7.28 cm² 6.85 cm 0.90 cm² 0.85 cm
As= 7.28 cm² As= 0.90 cm²a= 6.85 cm a= 0.85 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.32 m Ld= 0.43 m
![Page 85: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/85.jpg)
NUDO 5 CLARO 5 - 6Mu= 7.92 tn-m Mu= 1.84 tn-mVu= 5.26 tn Vu= 4.20 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.89 cm² 6.49 cm 1.60 cm² 1.51 cm6.86 cm² 6.46 cm 1.47 cm² 1.39 cm6.86 cm² 6.46 cm 1.47 cm² 1.38 cm6.86 cm² 6.45 cm 1.47 cm² 1.38 cm6.86 cm² 6.45 cm 1.47 cm² 1.38 cm6.86 cm² 6.45 cm 1.47 cm² 1.38 cm
As= 6.86 cm² As= 1.47 cm²a= 6.45 cm a= 1.38 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.58 m Ld= 0.62 m
![Page 86: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/86.jpg)
DISEÑO DE VIGAS EJE A-A
PRIMER PISOACERO NEGATIVO
NUDO 2Mu= 9.65 tn-mVu= 8.49 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.40 cm² 7.90 cm8.56 cm² 8.06 cm8.58 cm² 8.08 cm8.58 cm² 8.08 cm8.58 cm² 8.08 cm8.58 cm² 8.08 cm
As= 8.58 cm²a= 8.08 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6)Area= 8.55 cm² okVerificacion de CuantiaƤ= 0.0101Ƥb= 0.0217
![Page 87: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/87.jpg)
Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.715 ok
ACERO POSITIVO
NUDO 2Mu= 9.65 tn-mVu= 8.49 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.40 cm² 7.90 cm8.56 cm² 8.06 cm8.58 cm² 8.08 cm8.58 cm² 8.08 cm8.58 cm² 8.08 cm8.58 cm² 8.08 cm
As= 8.58 cm²a= 8.08 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6)Area= 8.55 cm² okVerificacion de CuantiaƤ= 0.0101Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.715 ok
![Page 88: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/88.jpg)
ACERO NEGATIVO
NUDO 3'Mu= 8.05 tn-mVu= 7.80 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.01 cm² 6.59 cm6.99 cm² 6.58 cm6.98 cm² 6.57 cm6.98 cm² 6.57 cm6.98 cm² 6.57 cm6.98 cm² 6.57 cm
As= 6.98 cm²a= 6.57 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 )Area= 6.99 cm² okVerificacion de CuantiaƤ= 0.0083Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
ACERO POSITIVO
NUDO 3'Mu= 8.05 tn-mVu= 7.80 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cm
![Page 89: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/89.jpg)
Ф 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.01 cm² 6.59 cm6.99 cm² 6.58 cm6.98 cm² 6.57 cm6.98 cm² 6.57 cm6.98 cm² 6.57 cm6.98 cm² 6.57 cm
As= 6.98 cm²a= 6.57 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 )Area= 6.99 cm² okVerificacion de CuantiaƤ= 0.0083Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
![Page 90: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/90.jpg)
ACERO NEGATIVO
NUDO 4Mu= 7.02 tn-mVu= 5.94 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.11 cm² 5.75 cm6.01 cm² 5.66 cm6.00 cm² 5.65 cm6.00 cm² 5.65 cm6.00 cm² 5.65 cm6.00 cm² 5.65 cm
As= 6.00 cm²a= 5.65 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 )Area= 6.41 cm² okVerificacion de CuantiaƤ= 0.0076Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 19.755 ok
ACERO NEGATIVO
NUDO 4Mu= 7.02 tn-mVu= 5.94 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cm
![Page 91: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/91.jpg)
Ф 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.11 cm² 5.75 cm6.01 cm² 5.66 cm6.00 cm² 5.65 cm6.00 cm² 5.65 cm6.00 cm² 5.65 cm6.00 cm² 5.65 cm
As= 6.00 cm²a= 5.65 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 )Area= 6.41 cm² okVerificacion de CuantiaƤ= 0.0076Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 19.755 ok
Longitud de Desarrollo a flexiónLd= 1.29 m
![Page 92: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/92.jpg)
NUDO 5Mu= 8.84 tn-mVu= 6.64 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.69 cm² 7.24 cm7.75 cm² 7.30 cm7.76 cm² 7.31 cm7.76 cm² 7.31 cm7.76 cm² 7.31 cm7.76 cm² 7.31 cm
As= 7.76 cm²a= 7.31 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 1.43 m
![Page 93: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/93.jpg)
NUDO 6Mu= 7.90 tn-mVu= 7.36 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.87 cm² 6.47 cm6.84 cm² 6.44 cm6.84 cm² 6.44 cm6.84 cm² 6.44 cm6.84 cm² 6.44 cm6.84 cm² 6.44 cm
As= 6.84 cm²a= 6.44 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 )Area= 6.99 cm² okVerificacion de CuantiaƤ= 0.0083Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
Longitud de Desarrollo a flexiónLd= 1.20 m
![Page 94: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/94.jpg)
DISEÑO DE VIGAS EJE B-B
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISONUDO 2 CLARO 2 - 3'
Mu= 2.46 tn-m Mu= 2.63 tn-mVu= 3.90 tn Vu= 2.25 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.14 cm² 2.01 cm 2.29 cm² 2.15 cm1.99 cm² 1.87 cm 2.13 cm² 2.00 cm1.98 cm² 1.86 cm 2.12 cm² 2.00 cm1.98 cm² 1.86 cm 2.12 cm² 2.00 cm1.98 cm² 1.86 cm 2.12 cm² 2.00 cm1.98 cm² 1.86 cm 2.12 cm² 2.00 cm
As= 1.98 cm² As= 2.12 cm²a= 1.86 cm a= 2.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026
![Page 95: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/95.jpg)
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.80 m Ld= 1.28 m
![Page 96: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/96.jpg)
NUDO 3' CLARO 3' - 4Mu= 6.85 tn-m Mu= 1.06 tn-mVu= 5.83 tn Vu= 5.45 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.96 cm² 5.61 cm 0.92 cm² 0.87 cm5.85 cm² 5.51 cm 0.84 cm² 0.79 cm5.84 cm² 5.50 cm 0.84 cm² 0.79 cm5.84 cm² 5.50 cm 0.84 cm² 0.79 cm5.84 cm² 5.50 cm 0.84 cm² 0.79 cm5.84 cm² 5.50 cm 0.84 cm² 0.79 cm
As= 5.84 cm² As= 0.84 cm²a= 5.50 cm a= 0.79 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.29 m Ld= 0.40 m
![Page 97: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/97.jpg)
NUDO 4 CLARO 4 - 5Mu= 9.35 tn-m Mu= 1.19 tn-mVu= 8.03 tn Vu= 5.41 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.14 cm² 7.66 cm 1.04 cm² 0.97 cm8.26 cm² 7.77 cm 0.95 cm² 0.89 cm8.28 cm² 7.79 cm 0.94 cm² 0.89 cm8.28 cm² 7.79 cm 0.94 cm² 0.89 cm8.28 cm² 7.79 cm 0.94 cm² 0.89 cm8.28 cm² 7.79 cm 0.94 cm² 0.89 cm
As= 8.28 cm² As= 0.94 cm²a= 7.79 cm a= 0.89 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6 ) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.28 m Ld= 0.43 m
![Page 98: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/98.jpg)
NUDO 5 CLARO 5 - 6Mu= 9.82 tn-m Mu= 3.57 tn-mVu= 7.88 tn Vu= 3.13 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.55 cm² 8.04 cm 3.11 cm² 2.92 cm8.73 cm² 8.22 cm 2.92 cm² 2.75 cm8.76 cm² 8.24 cm 2.91 cm² 2.74 cm8.76 cm² 8.24 cm 2.91 cm² 2.74 cm8.76 cm² 8.24 cm 2.91 cm² 2.74 cm8.76 cm² 8.25 cm 2.91 cm² 2.74 cm
As= 8.76 cm² As= 2.91 cm²a= 8.25 cm a= 2.74 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 9.26 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.205 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.35 m Ld= 1.26 m
![Page 99: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/99.jpg)
SEGUNDO PISONUDO 2 CLARO 2 - 3'
Mu= 2.78 tn-m Mu= 3.12 tn-mVu= 4.20 tn Vu= 2.38 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.42 cm² 2.28 cm 2.72 cm² 2.56 cm2.25 cm² 2.12 cm 2.54 cm² 2.39 cm2.25 cm² 2.12 cm 2.53 cm² 2.38 cm2.25 cm² 2.12 cm 2.53 cm² 2.38 cm2.25 cm² 2.12 cm 2.53 cm² 2.38 cm2.25 cm² 2.12 cm 2.53 cm² 2.38 cm
As= 2.25 cm² As= 2.53 cm²a= 2.12 cm a= 2.38 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.82 m Ld= 1.41 m
![Page 100: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/100.jpg)
NUDO 3' CLARO 3' - 4Mu= 7.33 tn-m Mu= 1.27 tn-mVu= 6.64 tn Vu= 5.88 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.38 cm² 6.00 cm 1.11 cm² 1.04 cm6.30 cm² 5.93 cm 1.01 cm² 0.95 cm6.29 cm² 5.92 cm 1.01 cm² 0.95 cm6.29 cm² 5.92 cm 1.01 cm² 0.95 cm6.29 cm² 5.92 cm 1.01 cm² 0.95 cm6.29 cm² 5.92 cm 1.01 cm² 0.95 cm
As= 6.29 cm² As= 1.01 cm²a= 5.92 cm a= 0.95 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.22 m Ld= 0.42 m
![Page 101: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/101.jpg)
NUDO 4 CLARO 4 - 5Mu= 10.51 tn-m Mu= 1.73 tn-mVu= 8.86 tn Vu= 6.25 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
9.15 cm² 8.61 cm 1.51 cm² 1.42 cm9.43 cm² 8.88 cm 1.38 cm² 1.30 cm9.48 cm² 8.92 cm 1.38 cm² 1.30 cm9.48 cm² 8.93 cm 1.38 cm² 1.30 cm9.48 cm² 8.93 cm 1.38 cm² 1.30 cm9.48 cm² 8.93 cm 1.38 cm² 1.30 cm
As= 9.48 cm² As= 1.38 cm²a= 8.93 cm a= 1.30 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6 ) Usar: (2ØN°5 )Area= 8.55 cm² no pasa Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.30 m Ld= 0.48 m
![Page 102: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/102.jpg)
NUDO 5 CLARO 5 - 6Mu= 8.49 tn-m Mu= 2.90 tn-mVu= 6.64 tn Vu= 3.00 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.39 cm² 6.95 cm 2.52 cm² 2.38 cm7.41 cm² 6.98 cm 2.35 cm² 2.22 cm7.42 cm² 6.98 cm 2.35 cm² 2.21 cm7.42 cm² 6.98 cm 2.35 cm² 2.21 cm7.42 cm² 6.98 cm 2.35 cm² 2.21 cm7.42 cm² 6.98 cm 2.35 cm² 2.21 cm
As= 7.42 cm² As= 2.35 cm²a= 6.98 cm a= 2.21 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 9.26 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.205 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.38 m Ld= 1.10 m
![Page 103: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/103.jpg)
TERCER PISONUDO 2 CLARO 2 - 3'
Mu= 2.34 tn-m Mu= 2.39 tn-mVu= 3.67 tn Vu= 2.64 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.04 cm² 1.92 cm 2.08 cm² 1.96 cm1.89 cm² 1.78 cm 1.93 cm² 1.81 cm1.88 cm² 1.77 cm 1.92 cm² 1.81 cm1.88 cm² 1.77 cm 1.92 cm² 1.81 cm1.88 cm² 1.77 cm 1.92 cm² 1.81 cm1.88 cm² 1.77 cm 1.92 cm² 1.81 cm
As= 1.88 cm² As= 1.92 cm²a= 1.77 cm a= 1.81 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.80 m Ld= 1.04 m
![Page 104: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/104.jpg)
NUDO 3' CLARO 3' - 4Mu= 6.41 tn-m Mu= 1.50 tn-mVu= 5.40 tn Vu= 5.12 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.58 cm² 5.25 cm 1.31 cm² 1.23 cm5.44 cm² 5.12 cm 1.20 cm² 1.13 cm5.43 cm² 5.11 cm 1.19 cm² 1.12 cm5.43 cm² 5.11 cm 1.19 cm² 1.12 cm5.43 cm² 5.11 cm 1.19 cm² 1.12 cm5.43 cm² 5.11 cm 1.19 cm² 1.12 cm
As= 5.43 cm² As= 1.19 cm²a= 5.11 cm a= 1.12 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.30 m Ld= 0.49 m
![Page 105: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/105.jpg)
NUDO 4 CLARO 4 - 5Mu= 9.50 tn-m Mu= 1.79 tn-mVu= 8.12 tn Vu= 5.30 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.27 cm² 7.78 cm 1.56 cm² 1.47 cm8.41 cm² 7.91 cm 1.43 cm² 1.35 cm8.43 cm² 7.93 cm 1.43 cm² 1.35 cm8.43 cm² 7.93 cm 1.43 cm² 1.35 cm8.43 cm² 7.93 cm 1.43 cm² 1.35 cm8.43 cm² 7.93 cm 1.43 cm² 1.35 cm
As= 8.43 cm² As= 1.43 cm²a= 7.93 cm a= 1.35 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6 ) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.28 m Ld= 0.53 m
![Page 106: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/106.jpg)
NUDO 5 CLARO 5 - 6Mu= 8.83 tn-m Mu= 4.02 tn-mVu= 7.76 tn Vu= 2.18 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.68 cm² 7.23 cm 3.50 cm² 3.29 cm7.74 cm² 7.29 cm 3.31 cm² 3.12 cm7.75 cm² 7.30 cm 3.30 cm² 3.11 cm7.75 cm² 7.30 cm 3.30 cm² 3.11 cm7.75 cm² 7.30 cm 3.30 cm² 3.11 cm7.75 cm² 7.30 cm 3.30 cm² 3.11 cm
As= 7.75 cm² As= 3.30 cm²a= 7.30 cm a= 3.11 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 9.26 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.205 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.25 m Ld= 1.89 m
![Page 107: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/107.jpg)
CUARTO PISONUDO 2 CLARO 2 - 3'
Mu= 2.06 tn-m Mu= 2.60 tn-mVu= 3.67 tn Vu= 3.30 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.79 cm² 1.69 cm 2.26 cm² 2.13 cm1.65 cm² 1.56 cm 2.10 cm² 1.98 cm1.65 cm² 1.55 cm 2.10 cm² 1.97 cm1.65 cm² 1.55 cm 2.10 cm² 1.97 cm1.65 cm² 1.55 cm 2.10 cm² 1.97 cm1.65 cm² 1.55 cm 2.10 cm² 1.97 cm
As= 1.65 cm² As= 2.10 cm²a= 1.55 cm a= 1.97 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.73 m Ld= 0.94 m
![Page 108: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/108.jpg)
NUDO 3' CLARO 3' - 4Mu= 5.28 tn-m Mu= 1.60 tn-mVu= 4.50 tn Vu= 4.23 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.59 cm² 4.32 cm 1.39 cm² 1.31 cm4.42 cm² 4.16 cm 1.28 cm² 1.20 cm4.41 cm² 4.15 cm 1.28 cm² 1.20 cm4.41 cm² 4.15 cm 1.28 cm² 1.20 cm4.41 cm² 4.15 cm 1.28 cm² 1.20 cm4.41 cm² 4.15 cm 1.28 cm² 1.20 cm
As= 4.41 cm² As= 1.28 cm²a= 4.15 cm a= 1.20 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.29 m Ld= 0.57 m
![Page 109: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/109.jpg)
NUDO 4 CLARO 4 - 5Mu= 8.83 tn-m Mu= 2.02 tn-mVu= 7.81 tn Vu= 5.11 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.68 cm² 7.23 cm 1.76 cm² 1.65 cm7.74 cm² 7.29 cm 1.62 cm² 1.53 cm7.75 cm² 7.30 cm 1.62 cm² 1.52 cm7.75 cm² 7.30 cm 1.62 cm² 1.52 cm7.75 cm² 7.30 cm 1.62 cm² 1.52 cm7.75 cm² 7.30 cm 1.62 cm² 1.52 cm
As= 7.75 cm² As= 1.62 cm²a= 7.30 cm a= 1.52 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6 ) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.25 m Ld= 0.58 m
![Page 110: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/110.jpg)
NUDO 5 CLARO 5 - 6Mu= 6.84 tn-m Mu= 2.58 tn-mVu= 6.01 tn Vu= 1.87 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.95 cm² 5.60 cm 2.25 cm² 2.11 cm5.84 cm² 5.50 cm 2.09 cm² 1.96 cm5.83 cm² 5.49 cm 2.08 cm² 1.96 cm5.83 cm² 5.49 cm 2.08 cm² 1.96 cm5.83 cm² 5.49 cm 2.08 cm² 1.96 cm5.83 cm² 5.49 cm 2.08 cm² 1.96 cm
As= 5.83 cm² As= 2.08 cm²a= 5.49 cm a= 1.96 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 9.26 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.205 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.25 m Ld= 1.47 m
![Page 111: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/111.jpg)
QUINTO PISONUDO 3' CLARO 3' - 4
Mu= 1.14 tn-m Mu= 1.60 tn-mVu= 2.32 tn Vu= 1.54 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.99 cm² 0.93 cm 1.39 cm² 1.31 cm0.91 cm² 0.85 cm 1.28 cm² 1.20 cm0.90 cm² 0.85 cm 1.28 cm² 1.20 cm0.90 cm² 0.85 cm 1.28 cm² 1.20 cm0.90 cm² 0.85 cm 1.28 cm² 1.20 cm0.90 cm² 0.85 cm 1.28 cm² 1.20 cm
As= 0.90 cm² As= 1.28 cm²a= 0.85 cm a= 1.20 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5)Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.67 m Ld= 1.16 m
![Page 112: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/112.jpg)
NUDO 4 CLARO 4 - 5Mu= 6.70 tn-m Mu= 1.69 tn-mVu= 5.81 tn Vu= 3.78 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.83 cm² 5.49 cm 1.47 cm² 1.38 cm5.71 cm² 5.38 cm 1.35 cm² 1.27 cm5.70 cm² 5.37 cm 1.35 cm² 1.27 cm5.70 cm² 5.36 cm 1.35 cm² 1.27 cm5.70 cm² 5.36 cm 1.35 cm² 1.27 cm5.70 cm² 5.36 cm 1.35 cm² 1.27 cm
As= 5.70 cm² As= 1.35 cm²a= 5.36 cm a= 1.27 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5)Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.27 m Ld= 0.63 m
![Page 113: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/113.jpg)
NUDO 5 CLARO 5 - 6Mu= 5.83 tn-m Mu= 4.40 tn-mVu= 5.38 tn Vu= 1.42 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.07 cm² 4.78 cm 3.83 cm² 3.60 cm4.91 cm² 4.62 cm 3.64 cm² 3.43 cm4.90 cm² 4.61 cm 3.63 cm² 3.42 cm4.90 cm² 4.61 cm 3.63 cm² 3.42 cm4.90 cm² 4.61 cm 3.63 cm² 3.42 cm4.90 cm² 4.61 cm 3.63 cm² 3.42 cm
As= 4.90 cm² As= 3.63 cm²a= 4.61 cm a= 3.42 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5)Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.20 m Ld= 3.02 m
![Page 114: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/114.jpg)
DISEÑO DE VIGAS EJE B-B
PRIMER PISONUDO 3'
Mu= 8.33 tn-mVu= 5.96 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.25 cm² 6.82 cm7.26 cm² 6.83 cm7.26 cm² 6.83 cm7.26 cm² 6.83 cm7.26 cm² 6.83 cm7.26 cm² 6.83 cm
As= 7.26 cm²a= 6.83 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026
![Page 115: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/115.jpg)
Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.49 m
![Page 116: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/116.jpg)
NUDO 4Mu= 6.17 tn-mVu= 5.73 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.37 cm² 5.05 cm5.22 cm² 4.92 cm5.21 cm² 4.91 cm5.21 cm² 4.90 cm5.21 cm² 4.90 cm5.21 cm² 4.90 cm
As= 5.21 cm²a= 4.90 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.20 m
![Page 117: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/117.jpg)
NUDO 5Mu= 9.75 tn-mVu= 8.04 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.48 cm² 7.99 cm8.66 cm² 8.15 cm8.68 cm² 8.17 cm8.69 cm² 8.18 cm8.69 cm² 8.18 cm8.69 cm² 8.18 cm
As= 8.69 cm²a= 8.18 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 )Area= 9.26 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.205 ok
Longitud de Desarrollo a flexiónLd= 1.32 m
![Page 118: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/118.jpg)
NUDO 6Mu= 5.34 tn-mVu= 5.84 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.65 cm² 4.37 cm4.47 cm² 4.21 cm4.46 cm² 4.20 cm4.46 cm² 4.20 cm4.46 cm² 4.20 cm4.46 cm² 4.20 cm
As= 4.46 cm²a= 4.20 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.05 m
![Page 119: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/119.jpg)
SEGUNDO PISONUDO 3'
Mu= 8.32 tn-mVu= 5.42 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.24 cm² 6.81 cm7.25 cm² 6.82 cm7.25 cm² 6.82 cm7.25 cm² 6.82 cm7.25 cm² 6.82 cm7.25 cm² 6.82 cm
As= 7.25 cm²a= 6.82 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.61 m
![Page 120: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/120.jpg)
NUDO 4Mu= 6.91 tn-mVu= 6.13 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.01 cm² 5.66 cm5.91 cm² 5.56 cm5.90 cm² 5.55 cm5.90 cm² 5.55 cm5.90 cm² 5.55 cm5.90 cm² 5.55 cm
As= 5.90 cm²a= 5.55 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.24 m
![Page 121: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/121.jpg)
NUDO 5Mu= 9.12 tn-mVu= 7.72 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.94 cm² 7.47 cm8.03 cm² 7.56 cm8.04 cm² 7.57 cm8.04 cm² 7.57 cm8.04 cm² 7.57 cm8.04 cm² 7.57 cm
As= 8.04 cm²a= 7.57 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 )Area= 9.26 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.205 ok
Longitud de Desarrollo a flexiónLd= 1.29 m
![Page 122: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/122.jpg)
NUDO 6Mu= 5.71 tn-mVu= 5.14 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.97 cm² 4.68 cm4.80 cm² 4.52 cm4.79 cm² 4.51 cm4.79 cm² 4.51 cm4.79 cm² 4.51 cm4.79 cm² 4.51 cm
As= 4.79 cm²a= 4.51 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.23 m
![Page 123: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/123.jpg)
TERCER PISONUDO 3'
Mu= 6.73 tn-mVu= 4.61 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.86 cm² 5.51 cm5.74 cm² 5.40 cm5.73 cm² 5.39 cm5.73 cm² 5.39 cm5.73 cm² 5.39 cm5.73 cm² 5.39 cm
As= 5.73 cm²a= 5.39 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.54 m
![Page 124: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/124.jpg)
NUDO 4Mu= 6.12 tn-mVu= 5.43 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.33 cm² 5.01 cm5.18 cm² 4.87 cm5.17 cm² 4.86 cm5.17 cm² 4.86 cm5.16 cm² 4.86 cm5.16 cm² 4.86 cm
As= 5.16 cm²a= 4.86 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.24 m
![Page 125: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/125.jpg)
NUDO 5Mu= 7.92 tn-mVu= 6.91 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.89 cm² 6.49 cm6.86 cm² 6.46 cm6.86 cm² 6.46 cm6.86 cm² 6.45 cm6.86 cm² 6.45 cm6.86 cm² 6.45 cm
As= 6.86 cm²a= 6.45 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 )Area= 9.26 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.205 ok
Longitud de Desarrollo a flexiónLd= 1.26 m
![Page 126: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/126.jpg)
NUDO 6Mu= 5.21 tn-mVu= 6.09 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.53 cm² 4.27 cm4.36 cm² 4.10 cm4.34 cm² 4.09 cm4.34 cm² 4.09 cm4.34 cm² 4.09 cm4.34 cm² 4.09 cm
As= 4.34 cm²a= 4.09 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.00 m
![Page 127: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/127.jpg)
CUARTO PISONUDO 3'
Mu= 6.30 tn-mVu= 5.01 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.48 cm² 5.16 cm5.34 cm² 5.03 cm5.33 cm² 5.02 cm5.33 cm² 5.02 cm5.33 cm² 5.02 cm5.33 cm² 5.02 cm
As= 5.33 cm²a= 5.02 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.36 m
![Page 128: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/128.jpg)
NUDO 4Mu= 5.16 tn-mVu= 4.40 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.49 cm² 4.23 cm4.31 cm² 4.06 cm4.30 cm² 4.05 cm4.30 cm² 4.05 cm4.30 cm² 4.05 cm4.30 cm² 4.05 cm
As= 4.30 cm²a= 4.05 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.28 m
![Page 129: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/129.jpg)
NUDO 5Mu= 6.17 tn-mVu= 5.92 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.37 cm² 5.05 cm5.22 cm² 4.92 cm5.21 cm² 4.91 cm5.21 cm² 4.90 cm5.21 cm² 4.90 cm5.21 cm² 4.90 cm
As= 5.21 cm²a= 4.90 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6+1ØN°3 )Area= 9.26 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.205 ok
Longitud de Desarrollo a flexiónLd= 1.17 m
![Page 130: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/130.jpg)
NUDO 6Mu= 4.62 tn-mVu= 4.87 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.02 cm² 3.78 cm3.83 cm² 3.61 cm3.82 cm² 3.60 cm3.82 cm² 3.60 cm3.82 cm² 3.60 cm3.82 cm² 3.60 cm
As= 3.82 cm²a= 3.60 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.08 m
![Page 131: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/131.jpg)
QUINTO PISONUDO 4
Mu= 3.22 tn-mVu= 2.61 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
2.80 cm² 2.64 cm2.62 cm² 2.47 cm2.62 cm² 2.46 cm2.62 cm² 2.46 cm2.62 cm² 2.46 cm2.62 cm² 2.46 cm
As= 2.62 cm²a= 2.46 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 1.34 m
![Page 132: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/132.jpg)
NUDO 5Mu= 4.71 tn-mVu= 4.42 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.10 cm² 3.86 cm3.91 cm² 3.68 cm3.90 cm² 3.67 cm3.90 cm² 3.67 cm3.90 cm² 3.67 cm3.90 cm² 3.67 cm
As= 3.90 cm²a= 3.67 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.19 m
![Page 133: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/133.jpg)
NUDO 6Mu= 3.67 tn-mVu= 4.36 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
3.19 cm² 3.01 cm3.01 cm² 2.83 cm3.00 cm² 2.82 cm3.00 cm² 2.82 cm3.00 cm² 2.82 cm3.00 cm² 2.82 cm
As= 3.00 cm²a= 2.82 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.99 m
![Page 134: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/134.jpg)
DISEÑO DE VIGAS EJE B'-B'
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISONUDO 0 CLARO 0 - 1
Mu= 0.00 tn-m Mu= 0.00 tn-mVu= 2.10 tn Vu= 2.19 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm
As= 0.00 cm² As= 0.00 cm²a= 0.00 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026
![Page 135: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/135.jpg)
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.23 m Ld= 0.23 m
![Page 136: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/136.jpg)
NUDO 1 CLARO 1 - 2Mu= 7.91 tn-m Mu= 2.39 tn-mVu= 6.03 tn Vu= 3.91 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.88 cm² 6.48 cm 2.08 cm² 1.96 cm6.85 cm² 6.45 cm 1.93 cm² 1.81 cm6.85 cm² 6.45 cm 1.92 cm² 1.81 cm6.85 cm² 6.45 cm 1.92 cm² 1.81 cm6.85 cm² 6.45 cm 1.92 cm² 1.81 cm6.85 cm² 6.45 cm 1.92 cm² 1.81 cm
As= 6.85 cm² As= 1.92 cm²a= 6.45 cm a= 1.81 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.41 m Ld= 0.78 m
![Page 137: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/137.jpg)
SEGUNDO PISONUDO 0 CLARO 0 - 1
Mu= 0.00 tn-m Mu= 0.00 tn-mVu= 2.00 tn Vu= 2.09 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm0.00 cm² 0.00 cm 0.00 cm² 0.00 cm
As= 0.00 cm² As= 0.00 cm²a= 0.00 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.23 m Ld= 0.23 m
![Page 138: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/138.jpg)
NUDO 1 CLARO 1 - 2Mu= 7.90 tn-m Mu= 2.40 tn-mVu= 6.06 tn Vu= 3.90 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.87 cm² 6.47 cm 2.09 cm² 1.97 cm6.84 cm² 6.44 cm 1.94 cm² 1.82 cm6.84 cm² 6.44 cm 1.93 cm² 1.82 cm6.84 cm² 6.44 cm 1.93 cm² 1.82 cm6.84 cm² 6.44 cm 1.93 cm² 1.82 cm6.84 cm² 6.44 cm 1.93 cm² 1.82 cm
As= 6.84 cm² As= 1.93 cm²a= 6.44 cm a= 1.82 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.40 m Ld= 0.78 m
![Page 139: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/139.jpg)
TERCER PISONUDO 0 CLARO 0 - 1
Mu= 0.04 tn-m Mu= 0.00 tn-mVu= 1.93 tn Vu= 2.02 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.03 cm² 0.03 cm 0.00 cm² 0.00 cm0.03 cm² 0.03 cm 0.00 cm² 0.00 cm0.03 cm² 0.03 cm 0.00 cm² 0.00 cm0.03 cm² 0.03 cm 0.00 cm² 0.00 cm0.03 cm² 0.03 cm 0.00 cm² 0.00 cm0.03 cm² 0.03 cm 0.00 cm² 0.00 cm
As= 0.03 cm² As= 0.00 cm²a= 0.03 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.25 m Ld= 0.23 m
![Page 140: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/140.jpg)
NUDO 1 CLARO 1 - 2Mu= 6.96 tn-m Mu= 2.25 tn-mVu= 5.56 tn Vu= 3.48 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.06 cm² 5.70 cm 1.96 cm² 1.84 cm5.95 cm² 5.60 cm 1.81 cm² 1.71 cm5.94 cm² 5.59 cm 1.81 cm² 1.70 cm5.94 cm² 5.59 cm 1.81 cm² 1.70 cm5.94 cm² 5.59 cm 1.81 cm² 1.70 cm5.94 cm² 5.59 cm 1.81 cm² 1.70 cm
As= 5.94 cm² As= 1.81 cm²a= 5.59 cm a= 1.70 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.36 m Ld= 0.81 m
![Page 141: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/141.jpg)
CUARTO PISONUDO 0 CLARO 0 - 1
Mu= 0.05 tn-m Mu= 0.00 tn-mVu= 2.05 tn Vu= 2.14 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.04 cm² 0.04 cm 0.00 cm² 0.00 cm0.04 cm² 0.04 cm 0.00 cm² 0.00 cm0.04 cm² 0.04 cm 0.00 cm² 0.00 cm0.04 cm² 0.04 cm 0.00 cm² 0.00 cm0.04 cm² 0.04 cm 0.00 cm² 0.00 cm0.04 cm² 0.04 cm 0.00 cm² 0.00 cm
As= 0.04 cm² As= 0.00 cm²a= 0.04 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.25 m Ld= 0.23 m
![Page 142: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/142.jpg)
NUDO 1 CLARO 1 - 2Mu= 4.96 tn-m Mu= 1.90 tn-mVu= 4.30 tn Vu= 2.21 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.32 cm² 4.06 cm 1.65 cm² 1.56 cm4.13 cm² 3.89 cm 1.52 cm² 1.43 cm4.12 cm² 3.88 cm 1.52 cm² 1.43 cm4.12 cm² 3.88 cm 1.52 cm² 1.43 cm4.12 cm² 3.88 cm 1.52 cm² 1.43 cm4.12 cm² 3.88 cm 1.52 cm² 1.43 cm
As= 4.12 cm² As= 1.52 cm²a= 3.88 cm a= 1.43 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 ) Usar: (2ØN°5 )Area= 6.99 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0083 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.27 m Ld= 1.00 m
![Page 143: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/143.jpg)
DISEÑO DE VIGAS EJE B'-B'
PRIMER PISONUDO 1
Mu= 1.18 tn-mVu= 2.28 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.03 cm² 0.97 cm0.94 cm² 0.88 cm0.94 cm² 0.88 cm0.94 cm² 0.88 cm0.94 cm² 0.88 cm0.94 cm² 0.88 cm
As= 0.94 cm²a= 0.88 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026
![Page 144: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/144.jpg)
Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.69 m
![Page 145: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/145.jpg)
NUDO 2Mu= 4.62 tn-mVu= 5.78 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.02 cm² 3.78 cm3.83 cm² 3.61 cm3.82 cm² 3.60 cm3.82 cm² 3.60 cm3.82 cm² 3.60 cm3.82 cm² 3.60 cm
As= 3.82 cm²a= 3.60 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.95 m
![Page 146: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/146.jpg)
SEGUNDO PISONUDO 1
Mu= 1.13 tn-mVu= 2.18 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.98 cm² 0.93 cm0.90 cm² 0.84 cm0.90 cm² 0.84 cm0.90 cm² 0.84 cm0.90 cm² 0.84 cm0.90 cm² 0.84 cm
As= 0.90 cm²a= 0.84 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.70 m
![Page 147: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/147.jpg)
NUDO 2Mu= 4.77 tn-mVu= 5.86 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.15 cm² 3.91 cm3.97 cm² 3.73 cm3.95 cm² 3.72 cm3.95 cm² 3.72 cm3.95 cm² 3.72 cm3.95 cm² 3.72 cm
As= 3.95 cm²a= 3.72 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.96 m
![Page 148: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/148.jpg)
TERCER PISONUDO 1
Mu= 1.09 tn-mVu= 2.12 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.95 cm² 0.89 cm0.87 cm² 0.81 cm0.86 cm² 0.81 cm0.86 cm² 0.81 cm0.86 cm² 0.81 cm0.86 cm² 0.81 cm
As= 0.86 cm²a= 0.81 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.69 m
![Page 149: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/149.jpg)
NUDO 2Mu= 4.21 tn-mVu= 5.37 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
3.66 cm² 3.45 cm3.47 cm² 3.27 cm3.47 cm² 3.26 cm3.46 cm² 3.26 cm3.46 cm² 3.26 cm3.46 cm² 3.26 cm
As= 3.46 cm²a= 3.26 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.93 m
![Page 150: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/150.jpg)
CUARTO PISONUDO 1
Mu= 1.15 tn-mVu= 2.23 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.00 cm² 0.94 cm0.91 cm² 0.86 cm0.91 cm² 0.86 cm0.91 cm² 0.86 cm0.91 cm² 0.86 cm0.91 cm² 0.86 cm
As= 0.91 cm²a= 0.86 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.69 m
![Page 151: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/151.jpg)
NUDO 2Mu= 2.80 tn-mVu= 4.11 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
2.44 cm² 2.29 cm2.27 cm² 2.14 cm2.26 cm² 2.13 cm2.26 cm² 2.13 cm2.26 cm² 2.13 cm2.26 cm² 2.13 cm
As= 2.26 cm²a= 2.13 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.84 m
![Page 152: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/152.jpg)
DISEÑO DE VIGAS EJE C-C
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISONUDO 2 CLARO 2 - 3
Mu= 4.69 tn-m Mu= 2.51 tn-mVu= 5.62 tn Vu= 3.62 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.08 cm² 3.84 cm 2.18 cm² 2.06 cm3.89 cm² 3.67 cm 2.03 cm² 1.91 cm3.88 cm² 3.66 cm 2.02 cm² 1.90 cm3.88 cm² 3.65 cm 2.02 cm² 1.90 cm3.88 cm² 3.65 cm 2.02 cm² 1.90 cm3.88 cm² 3.65 cm 2.02 cm² 1.90 cm
As= 3.88 cm² As= 2.02 cm²a= 3.65 cm a= 1.90 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026
![Page 153: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/153.jpg)
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.98 m Ld= 0.85 m
![Page 154: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/154.jpg)
SEGUNDO PISONUDO 2 CLARO 2 - 3
Mu= 4.53 tn-m Mu= 1.96 tn-mVu= 5.16 tn Vu= 3.70 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
3.94 cm² 3.71 cm 1.71 cm² 1.61 cm3.75 cm² 3.53 cm 1.57 cm² 1.48 cm3.74 cm² 3.52 cm 1.57 cm² 1.48 cm3.74 cm² 3.52 cm 1.57 cm² 1.48 cm3.74 cm² 3.52 cm 1.57 cm² 1.48 cm3.74 cm² 3.52 cm 1.57 cm² 1.48 cm
As= 3.74 cm² As= 1.57 cm²a= 3.52 cm a= 1.48 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.02 m Ld= 0.71 m
![Page 155: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/155.jpg)
TERCER PISONUDO 2 CLARO 2 - 3
Mu= 4.45 tn-m Mu= 2.38 tn-mVu= 5.39 tn Vu= 3.80 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
3.87 cm² 3.64 cm 2.07 cm² 1.95 cm3.68 cm² 3.47 cm 1.92 cm² 1.81 cm3.67 cm² 3.46 cm 1.92 cm² 1.80 cm3.67 cm² 3.46 cm 1.92 cm² 1.80 cm3.67 cm² 3.46 cm 1.92 cm² 1.80 cm3.67 cm² 3.46 cm 1.92 cm² 1.80 cm
As= 3.67 cm² As= 1.92 cm²a= 3.46 cm a= 1.80 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.97 m Ld= 0.79 m
![Page 156: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/156.jpg)
CUARTO PISONUDO 2 CLARO 2 - 3
Mu= 2.91 tn-m Mu= 1.46 tn-mVu= 3.49 tn Vu= 2.59 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.53 cm² 2.38 cm 1.27 cm² 1.20 cm2.36 cm² 2.22 cm 1.16 cm² 1.10 cm2.36 cm² 2.22 cm 1.16 cm² 1.09 cm2.36 cm² 2.22 cm 1.16 cm² 1.09 cm2.36 cm² 2.22 cm 1.16 cm² 1.09 cm2.36 cm² 2.22 cm 1.16 cm² 1.09 cm
As= 2.36 cm² As= 1.16 cm²a= 2.22 cm a= 1.09 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.98 m Ld= 0.74 m
![Page 157: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/157.jpg)
DISEÑO DE VIGAS EJE C-C
PRIMER PISONUDO 3
Mu= 8.16 tn-mVu= 6.22 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.10 cm² 6.68 cm7.09 cm² 6.68 cm7.09 cm² 6.67 cm7.09 cm² 6.67 cm7.09 cm² 6.67 cm7.09 cm² 6.67 cm
As= 7.09 cm²a= 6.67 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026
![Page 158: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/158.jpg)
Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.41 m
![Page 159: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/159.jpg)
SEGUNDO PISONUDO 3
Mu= 7.76 tn-mVu= 6.32 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.75 cm² 6.36 cm6.71 cm² 6.31 cm6.70 cm² 6.31 cm6.70 cm² 6.31 cm6.70 cm² 6.31 cm6.70 cm² 6.31 cm
As= 6.70 cm²a= 6.31 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.33 m
![Page 160: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/160.jpg)
TERCER PISONUDO 3
Mu= 7.96 tn-mVu= 6.00 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.93 cm² 6.52 cm6.90 cm² 6.49 cm6.90 cm² 6.49 cm6.90 cm² 6.49 cm6.90 cm² 6.49 cm6.90 cm² 6.49 cm
As= 6.90 cm²a= 6.49 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.42 m
![Page 161: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/161.jpg)
CUARTO PISONUDO 3
Mu= 5.09 tn-mVu= 4.80 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.43 cm² 4.17 cm4.25 cm² 4.00 cm4.24 cm² 3.99 cm4.24 cm² 3.99 cm4.24 cm² 3.99 cm4.24 cm² 3.99 cm
As= 4.24 cm²a= 3.99 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.18 m
![Page 162: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/162.jpg)
DISEÑO DE VIGAS EJE D-D
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISONUDO 0 CLARO 0 - 1
Mu= 0.17 tn-m Mu= 0.00 tn-mVu= 1.26 tn Vu= 1.35 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.15 cm² 0.14 cm 0.00 cm² 0.00 cm0.13 cm² 0.13 cm 0.00 cm² 0.00 cm0.13 cm² 0.13 cm 0.00 cm² 0.00 cm0.13 cm² 0.13 cm 0.00 cm² 0.00 cm0.13 cm² 0.13 cm 0.00 cm² 0.00 cm0.13 cm² 0.13 cm 0.00 cm² 0.00 cm
As= 0.13 cm² As= 0.00 cm²a= 0.13 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026
![Page 163: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/163.jpg)
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.35 m Ld= 0.23 m
![Page 164: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/164.jpg)
NUDO 1 CLARO 1 - 2Mu= 9.56 tn-m Mu= 1.23 tn-mVu= 8.32 tn Vu= 6.83 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.32 cm² 7.83 cm 1.07 cm² 1.01 cm8.47 cm² 7.97 cm 0.98 cm² 0.92 cm8.49 cm² 7.99 cm 0.98 cm² 0.92 cm8.49 cm² 7.99 cm 0.98 cm² 0.92 cm8.49 cm² 7.99 cm 0.98 cm² 0.92 cm8.49 cm² 7.99 cm 0.98 cm² 0.92 cm
As= 8.49 cm² As= 0.98 cm²a= 7.99 cm a= 0.92 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.26 m Ld= 0.39 m
![Page 165: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/165.jpg)
NUDO 2 CLARO 2 - 3Mu= 1.11 tn-m Mu= 8.89 tn-mVu= 7.54 tn Vu= 5.92 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.97 cm² 0.91 cm 7.74 cm² 7.28 cm0.88 cm² 0.83 cm 7.80 cm² 7.34 cm0.88 cm² 0.83 cm 7.81 cm² 7.35 cm0.88 cm² 0.83 cm 7.81 cm² 7.35 cm0.88 cm² 0.83 cm 7.81 cm² 7.35 cm0.88 cm² 0.83 cm 7.81 cm² 7.35 cm
As= 0.88 cm² As= 7.81 cm²a= 0.83 cm a= 7.35 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (4ØN°5)Area= 2.85 cm² ok Area= 5.98 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0071Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 23.885 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.36 m Ld= 1.58 m
![Page 166: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/166.jpg)
NUDO 3 CLARO 3 - 3'Mu= 6.30 tn-m Mu= 2.27 tn-mVu= 14.75 tn Vu= 15.05 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.48 cm² 5.16 cm 1.98 cm² 1.86 cm5.34 cm² 5.03 cm 1.83 cm² 1.72 cm5.33 cm² 5.02 cm 1.82 cm² 1.72 cm5.33 cm² 5.02 cm 1.82 cm² 1.72 cm5.33 cm² 5.02 cm 1.82 cm² 1.72 cm5.33 cm² 5.02 cm 1.82 cm² 1.72 cm
As= 5.33 cm² As= 1.82 cm²a= 5.02 cm a= 1.72 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.61 m Ld= 0.36 m
![Page 167: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/167.jpg)
NUDO 3' CLARO 3' - 4Mu= 6.87 tn-m Mu= 0.48 tn-mVu= 6.63 tn Vu= 5.26 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.98 cm² 5.63 cm 0.42 cm² 0.39 cm5.87 cm² 5.52 cm 0.38 cm² 0.36 cm5.86 cm² 5.52 cm 0.38 cm² 0.36 cm5.86 cm² 5.51 cm 0.38 cm² 0.36 cm5.86 cm² 5.51 cm 0.38 cm² 0.36 cm5.86 cm² 5.51 cm 0.38 cm² 0.36 cm
As= 5.86 cm² As= 0.38 cm²a= 5.51 cm a= 0.36 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.16 m Ld= 0.31 m
![Page 168: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/168.jpg)
NUDO 4 CLARO 4 - 5Mu= 8.69 tn-m Mu= 1.43 tn-mVu= 6.79 tn Vu= 4.76 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.56 cm² 7.12 cm 1.24 cm² 1.17 cm7.61 cm² 7.16 cm 1.14 cm² 1.07 cm7.61 cm² 7.17 cm 1.14 cm² 1.07 cm7.61 cm² 7.17 cm 1.14 cm² 1.07 cm7.61 cm² 7.17 cm 1.14 cm² 1.07 cm7.61 cm² 7.17 cm 1.14 cm² 1.07 cm
As= 7.61 cm² As= 1.14 cm²a= 7.17 cm a= 1.07 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.38 m Ld= 0.50 m
![Page 169: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/169.jpg)
NUDO 5 CLARO 5 - 6Mu= 8.64 tn-m Mu= 2.03 tn-mVu= 6.55 tn Vu= 3.28 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.52 cm² 7.08 cm 1.77 cm² 1.66 cm7.56 cm² 7.11 cm 1.63 cm² 1.53 cm7.56 cm² 7.12 cm 1.63 cm² 1.53 cm7.56 cm² 7.12 cm 1.63 cm² 1.53 cm7.56 cm² 7.12 cm 1.63 cm² 1.53 cm7.56 cm² 7.12 cm 1.63 cm² 1.53 cm
As= 7.56 cm² As= 1.63 cm²a= 7.12 cm a= 1.53 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.42 m Ld= 0.79 m
![Page 170: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/170.jpg)
SEGUNDO PISONUDO 0 CLARO 0 - 1
Mu= 0.22 tn-m Mu= 0.00 tn-mVu= 1.32 tn Vu= 1.41 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.19 cm² 0.18 cm 0.00 cm² 0.00 cm0.17 cm² 0.16 cm 0.00 cm² 0.00 cm0.17 cm² 0.16 cm 0.00 cm² 0.00 cm0.17 cm² 0.16 cm 0.00 cm² 0.00 cm0.17 cm² 0.16 cm 0.00 cm² 0.00 cm0.17 cm² 0.16 cm 0.00 cm² 0.00 cm
As= 0.17 cm² As= 0.00 cm²a= 0.16 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.38 m Ld= 0.23 m
![Page 171: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/171.jpg)
NUDO 1 CLARO 1 - 2Mu= 9.69 tn-m Mu= 1.29 tn-mVu= 8.49 tn Vu= 7.07 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.43 cm² 7.94 cm 1.12 cm² 1.06 cm8.60 cm² 8.09 cm 1.03 cm² 0.97 cm8.62 cm² 8.12 cm 1.03 cm² 0.96 cm8.63 cm² 8.12 cm 1.02 cm² 0.96 cm8.63 cm² 8.12 cm 1.02 cm² 0.96 cm8.63 cm² 8.12 cm 1.02 cm² 0.96 cm
As= 8.63 cm² As= 1.02 cm²a= 8.12 cm a= 0.96 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.26 m Ld= 0.39 m
![Page 172: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/172.jpg)
NUDO 2 CLARO 2 - 3Mu= 9.48 tn-m Mu= 1.15 tn-mVu= 8.08 tn Vu= 6.70 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
8.25 cm² 7.76 cm 1.00 cm² 0.94 cm8.39 cm² 7.90 cm 0.91 cm² 0.86 cm8.41 cm² 7.91 cm 0.91 cm² 0.86 cm8.41 cm² 7.92 cm 0.91 cm² 0.86 cm8.41 cm² 7.92 cm 0.91 cm² 0.86 cm8.41 cm² 7.92 cm 0.91 cm² 0.86 cm
As= 8.41 cm² As= 0.91 cm²a= 7.92 cm a= 0.86 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6 ) Usar: (4ØN°5)Area= 8.55 cm² ok Area= 5.98 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0071Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 23.885 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 1.29 m Ld= 0.38 m
![Page 173: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/173.jpg)
NUDO 3 CLARO 3 - 3'Mu= 5.73 tn-m Mu= 1.92 tn-mVu= 13.62 tn Vu= 3.30 tnb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.99 cm² 4.69 cm 1.67 cm² 1.57 cm4.82 cm² 4.54 cm 1.54 cm² 1.45 cm4.81 cm² 4.53 cm 1.54 cm² 1.45 cm4.81 cm² 4.53 cm 1.54 cm² 1.45 cm4.81 cm² 4.53 cm 1.54 cm² 1.45 cm4.81 cm² 4.53 cm 1.54 cm² 1.45 cm
As= 4.81 cm² As= 1.54 cm²a= 4.53 cm a= 1.45 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.61 m Ld= 0.75 m
![Page 174: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/174.jpg)
NUDO 3' CLARO 3' - 4Mu= 7.62 tn-m Mu= 0.12 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.63 cm² 6.24 cm 0.10 cm² 0.10 cm6.58 cm² 6.19 cm 0.09 cm² 0.09 cm6.57 cm² 6.18 cm 0.09 cm² 0.09 cm6.57 cm² 6.18 cm 0.09 cm² 0.09 cm6.57 cm² 6.18 cm 0.09 cm² 0.09 cm6.57 cm² 6.18 cm 0.09 cm² 0.09 cm
As= 6.57 cm² As= 0.09 cm²a= 6.18 cm a= 0.09 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² no pasa Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.38 m Ld= 0.26 m
![Page 175: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/175.jpg)
NUDO 4 CLARO 4 - 5Mu= 8.80 tn-m Mu= 1.54 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.66 cm² 7.21 cm 1.34 cm² 1.26 cm7.72 cm² 7.26 cm 1.23 cm² 1.16 cm7.72 cm² 7.27 cm 1.23 cm² 1.15 cm7.72 cm² 7.27 cm 1.23 cm² 1.15 cm7.72 cm² 7.27 cm 1.23 cm² 1.15 cm7.72 cm² 7.27 cm 1.23 cm² 1.15 cm
As= 7.72 cm² As= 1.23 cm²a= 7.27 cm a= 1.15 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² no pasa Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.41 m Ld= 0.65 m
![Page 176: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/176.jpg)
NUDO 5 CLARO 5 - 6Mu= 8.71 tn-m Mu= 1.99 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.58 cm² 7.13 cm 1.73 cm² 1.63 cm7.63 cm² 7.18 cm 1.60 cm² 1.50 cm7.63 cm² 7.18 cm 1.59 cm² 1.50 cm7.63 cm² 7.18 cm 1.59 cm² 1.50 cm7.63 cm² 7.18 cm 1.59 cm² 1.50 cm7.63 cm² 7.18 cm 1.59 cm² 1.50 cm
As= 7.63 cm² As= 1.59 cm²a= 7.18 cm a= 1.50 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.41 m Ld= 0.77 m
![Page 177: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/177.jpg)
TERCER PISONUDO 0 CLARO 0 - 1
Mu= 0.25 tn-m Mu= 0.00 tn-mVu= 4.23 tn Vu= 0.99 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.22 cm² 0.20 cm 0.00 cm² 0.00 cm0.20 cm² 0.18 cm 0.00 cm² 0.00 cm0.20 cm² 0.18 cm 0.00 cm² 0.00 cm0.20 cm² 0.18 cm 0.00 cm² 0.00 cm0.20 cm² 0.18 cm 0.00 cm² 0.00 cm0.20 cm² 0.18 cm 0.00 cm² 0.00 cm
As= 0.20 cm² As= 0.00 cm²a= 0.18 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.28 m Ld= 0.23 m
![Page 178: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/178.jpg)
NUDO 1 CLARO 1 - 2Mu= 8.52 tn-m Mu= 1.16 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.41 cm² 6.98 cm 1.01 cm² 0.95 cm7.44 cm² 7.00 cm 0.92 cm² 0.87 cm7.44 cm² 7.01 cm 0.92 cm² 0.87 cm7.45 cm² 7.01 cm 0.92 cm² 0.87 cm7.45 cm² 7.01 cm 0.92 cm² 0.87 cm7.45 cm² 7.01 cm 0.92 cm² 0.87 cm
As= 7.45 cm² As= 0.92 cm²a= 7.01 cm a= 0.87 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.40 m Ld= 0.55 m
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NUDO 2 CLARO 2 - 3Mu= 8.63 tn-m Mu= 1.10 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
7.51 cm² 7.07 cm 0.96 cm² 0.90 cm7.55 cm² 7.10 cm 0.87 cm² 0.82 cm7.55 cm² 7.11 cm 0.87 cm² 0.82 cm7.55 cm² 7.11 cm 0.87 cm² 0.82 cm7.55 cm² 7.11 cm 0.87 cm² 0.82 cm7.55 cm² 7.11 cm 0.87 cm² 0.82 cm
As= 7.55 cm² As= 0.87 cm²a= 7.11 cm a= 0.82 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.41 m Ld= 0.53 m
![Page 180: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/180.jpg)
NUDO 3 CLARO 3 - 3'Mu= 4.37 tn-m Mu= 1.54 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
3.80 cm² 3.58 cm 1.34 cm² 1.26 cm3.61 cm² 3.40 cm 1.23 cm² 1.16 cm3.60 cm² 3.39 cm 1.23 cm² 1.15 cm3.60 cm² 3.39 cm 1.23 cm² 1.15 cm3.60 cm² 3.39 cm 1.23 cm² 1.15 cm3.60 cm² 3.39 cm 1.23 cm² 1.15 cm
As= 3.60 cm² As= 1.23 cm²a= 3.39 cm a= 1.15 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.32 m Ld= 0.65 m
![Page 181: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/181.jpg)
NUDO 3' CLARO 3' - 4Mu= 7.35 tn-m Mu= 0.45 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.40 cm² 6.02 cm 0.39 cm² 0.37 cm6.32 cm² 5.95 cm 0.35 cm² 0.33 cm6.31 cm² 5.94 cm 0.35 cm² 0.33 cm6.31 cm² 5.94 cm 0.35 cm² 0.33 cm6.31 cm² 5.94 cm 0.35 cm² 0.33 cm6.31 cm² 5.94 cm 0.35 cm² 0.33 cm
As= 6.31 cm² As= 0.35 cm²a= 5.94 cm a= 0.33 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.38 m Ld= 0.35 m
![Page 182: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/182.jpg)
NUDO 4 CLARO 4 - 5Mu= 7.75 tn-m Mu= 1.39 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.74 cm² 6.35 cm 1.21 cm² 1.14 cm6.70 cm² 6.31 cm 1.11 cm² 1.04 cm6.69 cm² 6.30 cm 1.11 cm² 1.04 cm6.69 cm² 6.30 cm 1.11 cm² 1.04 cm6.69 cm² 6.30 cm 1.11 cm² 1.04 cm6.69 cm² 6.30 cm 1.11 cm² 1.04 cm
As= 6.69 cm² As= 1.11 cm²a= 6.30 cm a= 1.04 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.39 m Ld= 0.61 m
![Page 183: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/183.jpg)
NUDO 5 CLARO 5 - 6Mu= 7.62 tn-m Mu= 2.02 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.63 cm² 6.24 cm 1.76 cm² 1.65 cm6.58 cm² 6.19 cm 1.62 cm² 1.53 cm6.57 cm² 6.18 cm 1.62 cm² 1.52 cm6.57 cm² 6.18 cm 1.62 cm² 1.52 cm6.57 cm² 6.18 cm 1.62 cm² 1.52 cm6.57 cm² 6.18 cm 1.62 cm² 1.52 cm
As= 6.57 cm² As= 1.62 cm²a= 6.18 cm a= 1.52 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 ) Usar: (2ØN°5 )Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0091 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.38 m Ld= 0.78 m
![Page 184: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/184.jpg)
CUARTO PISONUDO 0 CLARO 0 - 1
Mu= 0.16 tn-m Mu= 0.00 tn-mVu= 4.23 tn Vu= 0.99 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.14 cm² 0.13 cm 0.00 cm² 0.00 cm0.13 cm² 0.12 cm 0.00 cm² 0.00 cm0.13 cm² 0.12 cm 0.00 cm² 0.00 cm0.13 cm² 0.12 cm 0.00 cm² 0.00 cm0.13 cm² 0.12 cm 0.00 cm² 0.00 cm0.13 cm² 0.12 cm 0.00 cm² 0.00 cm
As= 0.13 cm² As= 0.00 cm²a= 0.12 cm a= 0.00 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°6 ) Usar: (2ØN°5 )Area= 2.85 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0034 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.815 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.26 m Ld= 0.23 m
![Page 185: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/185.jpg)
NUDO 1 CLARO 1 - 2Mu= 5.39 tn-m Mu= 0.88 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.69 cm² 4.41 cm 0.77 cm² 0.72 cm4.52 cm² 4.25 cm 0.70 cm² 0.66 cm4.51 cm² 4.24 cm 0.70 cm² 0.66 cm4.50 cm² 4.24 cm 0.70 cm² 0.66 cm4.50 cm² 4.24 cm 0.70 cm² 0.66 cm4.50 cm² 4.24 cm 0.70 cm² 0.66 cm
As= 4.50 cm² As= 0.70 cm²a= 4.24 cm a= 0.66 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°6) Usar: (2ØN°5 )Area= 8.55 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0101 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.715 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.34 m Ld= 0.47 m
![Page 186: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/186.jpg)
NUDO 2 CLARO 2 - 3Mu= 5.90 tn-m Mu= 1.50 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.13 cm² 4.83 cm 1.31 cm² 1.23 cm4.98 cm² 4.68 cm 1.20 cm² 1.13 cm4.97 cm² 4.67 cm 1.19 cm² 1.12 cm4.96 cm² 4.67 cm 1.19 cm² 1.12 cm4.96 cm² 4.67 cm 1.19 cm² 1.12 cm4.96 cm² 4.67 cm 1.19 cm² 1.12 cm
As= 4.96 cm² As= 1.19 cm²a= 4.67 cm a= 1.12 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.35 m Ld= 0.64 m
![Page 187: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/187.jpg)
NUDO 3 CLARO 3 - 3'Mu= 1.75 tn-m Mu= 1.38 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.52 cm² 1.43 cm 1.20 cm² 1.13 cm1.40 cm² 1.32 cm 1.10 cm² 1.03 cm1.40 cm² 1.32 cm 1.10 cm² 1.03 cm1.40 cm² 1.32 cm 1.10 cm² 1.03 cm1.40 cm² 1.32 cm 1.10 cm² 1.03 cm1.40 cm² 1.32 cm 1.10 cm² 1.03 cm
As= 1.40 cm² As= 1.10 cm²a= 1.32 cm a= 1.03 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5 )Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.26 m Ld= 0.61 m
![Page 188: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/188.jpg)
NUDO 3' CLARO 3' - 4Mu= 6.46 tn-m Mu= 0.44 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.62 cm² 5.29 cm 0.38 cm² 0.36 cm5.49 cm² 5.17 cm 0.35 cm² 0.33 cm5.48 cm² 5.16 cm 0.35 cm² 0.33 cm5.48 cm² 5.16 cm 0.35 cm² 0.33 cm5.48 cm² 5.16 cm 0.35 cm² 0.33 cm5.48 cm² 5.16 cm 0.35 cm² 0.33 cm
As= 5.48 cm² As= 0.35 cm²a= 5.16 cm a= 0.33 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°3 ) Usar: (2ØN°5 )Area= 6.41 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0076 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 19.755 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.36 m Ld= 0.35 m
![Page 189: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/189.jpg)
NUDO 4 CLARO 4 - 5Mu= 6.95 tn-m Mu= 1.36 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.05 cm² 5.69 cm 1.18 cm² 1.11 cm5.94 cm² 5.59 cm 1.08 cm² 1.02 cm5.93 cm² 5.59 cm 1.08 cm² 1.02 cm5.93 cm² 5.58 cm 1.08 cm² 1.02 cm5.93 cm² 5.58 cm 1.08 cm² 1.02 cm5.93 cm² 5.58 cm 1.08 cm² 1.02 cm
As= 5.93 cm² As= 1.08 cm²a= 5.58 cm a= 1.02 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°5 ) Usar: (2ØN°5)Area= 1.98 cm² no pasa Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0023 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 no pasa Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.495 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.37 m Ld= 0.60 m
![Page 190: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/190.jpg)
NUDO 5 CLARO 5 - 6Mu= 6.97 tn-m Mu= 1.99 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.07 cm² 5.71 cm 1.73 cm² 1.63 cm5.96 cm² 5.61 cm 1.60 cm² 1.50 cm5.95 cm² 5.60 cm 1.59 cm² 1.50 cm5.95 cm² 5.60 cm 1.59 cm² 1.50 cm5.95 cm² 5.60 cm 1.59 cm² 1.50 cm5.95 cm² 5.60 cm 1.59 cm² 1.50 cm
As= 5.95 cm² As= 1.59 cm²a= 5.60 cm a= 1.50 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (1ØN°5 ) Usar: (2ØN°5)Area= 1.98 cm² no pasa Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0023 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 no pasa Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 11.495 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.37 m Ld= 0.77 m
![Page 191: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/191.jpg)
QUINTO PISONUDO 4 CLARO 4 - 5
Mu= 6.62 tn-m Mu= 0.80 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
5.76 cm² 5.42 cm 0.70 cm² 0.66 cm5.64 cm² 5.31 cm 0.63 cm² 0.60 cm5.63 cm² 5.30 cm 0.63 cm² 0.59 cm5.63 cm² 5.29 cm 0.63 cm² 0.59 cm5.63 cm² 5.29 cm 0.63 cm² 0.59 cm5.63 cm² 5.29 cm 0.63 cm² 0.59 cm
As= 5.63 cm² As= 0.63 cm²a= 5.29 cm a= 0.59 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5)Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.36 m Ld= 0.45 m
![Page 192: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/192.jpg)
NUDO 5 CLARO 5 - 6Mu= 5.14 tn-m Mu= 1.68 tn-mVu= 44.09 tn Vu= 3.30 tn-mb= 25 cm b= 25 cmh= 40 cm h= 40 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 33.78 cm d= 33.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.47 cm² 4.21 cm 1.46 cm² 1.38 cm4.29 cm² 4.04 cm 1.34 cm² 1.26 cm4.28 cm² 4.03 cm 1.34 cm² 1.26 cm4.28 cm² 4.03 cm 1.34 cm² 1.26 cm4.28 cm² 4.03 cm 1.34 cm² 1.26 cm4.28 cm² 4.03 cm 1.34 cm² 1.26 cm
As= 4.28 cm² As= 1.34 cm²a= 4.03 cm a= 1.26 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5)Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0068 Ƥ= 0.0047Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
Longitud de Desarrollo a flexión Longitud de Desarrollo a flexiónLd= 0.33 m Ld= 0.69 m
![Page 193: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/193.jpg)
DISEÑO DE VIGAS EJE D-D
PRIMER PISONUDO 1
Mu= 0.79 tn-mVu= 1.43 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.69 cm² 0.65 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm
As= 0.62 cm²a= 0.59 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026
![Page 194: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/194.jpg)
Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.73 m
![Page 195: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/195.jpg)
NUDO 2Mu= 8.73 tn-mVu= 8.20 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.60 cm² 7.15 cm7.65 cm² 7.20 cm7.65 cm² 7.20 cm7.65 cm² 7.20 cm7.65 cm² 7.20 cm7.65 cm² 7.20 cm
As= 7.65 cm²a= 7.20 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.19 m
![Page 196: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/196.jpg)
NUDO 3Mu= 0.30 tn-mVu= 7.69 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.26 cm² 0.25 cm0.24 cm² 0.22 cm0.24 cm² 0.22 cm0.24 cm² 0.22 cm0.24 cm² 0.22 cm0.24 cm² 0.22 cm
As= 0.24 cm²a= 0.22 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.26 m
![Page 197: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/197.jpg)
NUDO 3'Mu= 9.02 tn-mVu= 15.33 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.85 cm² 7.39 cm7.93 cm² 7.47 cm7.94 cm² 7.48 cm7.94 cm² 7.48 cm7.94 cm² 7.48 cm7.94 cm² 7.48 cm
As= 7.94 cm²a= 7.48 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.76 m
![Page 198: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/198.jpg)
NUDO 4Mu= 6.65 tn-mVu= 6.34 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.79 cm² 5.45 cm5.67 cm² 5.33 cm5.65 cm² 5.32 cm5.65 cm² 5.32 cm5.65 cm² 5.32 cm5.65 cm² 5.32 cm
As= 5.65 cm²a= 5.32 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 1.17 m
![Page 199: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/199.jpg)
NUDO 5Mu= 8.59 tn-mVu= 6.80 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.48 cm² 7.04 cm7.51 cm² 7.07 cm7.51 cm² 7.07 cm7.51 cm² 7.07 cm7.51 cm² 7.07 cm7.51 cm² 7.07 cm
As= 7.51 cm²a= 7.07 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.37 m
![Page 200: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/200.jpg)
NUDO 6Mu= 9.01 tn-mVu= 6.49 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.84 cm² 7.38 cm7.92 cm² 7.46 cm7.93 cm² 7.47 cm7.93 cm² 7.47 cm7.93 cm² 7.47 cm7.93 cm² 7.47 cm
As= 7.93 cm²a= 7.47 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 1.48 m
![Page 201: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/201.jpg)
SEGUNDO PISONUDO 1
Mu= 0.82 tn-mVu= 1.49 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.71 cm² 0.67 cm0.65 cm² 0.61 cm0.65 cm² 0.61 cm0.65 cm² 0.61 cm0.65 cm² 0.61 cm0.65 cm² 0.61 cm
As= 0.65 cm²a= 0.61 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.72 m
![Page 202: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/202.jpg)
NUDO 2Mu= 8.93 tn-mVu= 8.20 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.77 cm² 7.31 cm7.84 cm² 7.38 cm7.85 cm² 7.39 cm7.85 cm² 7.39 cm7.85 cm² 7.39 cm7.85 cm² 7.39 cm
As= 7.85 cm²a= 7.39 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² no pasaVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 1.21 m
![Page 203: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/203.jpg)
NUDO 3Mu= 9.74 tn-mVu= 8.49 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.48 cm² 7.98 cm8.65 cm² 8.14 cm8.67 cm² 8.16 cm8.68 cm² 8.17 cm8.68 cm² 8.17 cm8.68 cm² 8.17 cm
As= 8.68 cm²a= 8.17 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°6 )Area= 8.55 cm² no pasaVerificacion de CuantiaƤ= 0.0101Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.715 ok
Longitud de Desarrollo a flexiónLd= 1.26 m
![Page 204: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/204.jpg)
NUDO 3'Mu= 9.70 tn-mVu= 11.57 tnb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.44 cm² 7.94 cm8.61 cm² 8.10 cm8.63 cm² 8.12 cm8.64 cm² 8.13 cm8.64 cm² 8.13 cm8.64 cm² 8.13 cm
As= 8.64 cm²a= 8.13 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.98 m
![Page 205: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/205.jpg)
NUDO 4Mu= 6.96 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.06 cm² 5.70 cm5.95 cm² 5.60 cm5.94 cm² 5.59 cm5.94 cm² 5.59 cm5.94 cm² 5.59 cm5.94 cm² 5.59 cm
As= 5.94 cm²a= 5.59 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.77 m
![Page 206: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/206.jpg)
NUDO 5Mu= 8.70 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.57 cm² 7.13 cm7.62 cm² 7.17 cm7.62 cm² 7.17 cm7.62 cm² 7.18 cm7.62 cm² 7.18 cm7.62 cm² 7.18 cm
As= 7.62 cm²a= 7.18 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 0.91 m
![Page 207: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/207.jpg)
NUDO 6Mu= 9.41 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.19 cm² 7.71 cm8.32 cm² 7.83 cm8.34 cm² 7.85 cm8.34 cm² 7.85 cm8.34 cm² 7.85 cm8.34 cm² 7.85 cm
As= 8.34 cm²a= 7.85 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² no pasaVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 0.96 m
![Page 208: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/208.jpg)
TERCER PISONUDO 1
Mu= 0.79 tn-mVu= 4.43 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.69 cm² 0.65 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm0.62 cm² 0.59 cm
As= 0.62 cm²a= 0.59 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.39 m
![Page 209: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/209.jpg)
NUDO 2Mu= 7.72 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.72 cm² 6.32 cm6.67 cm² 6.28 cm6.67 cm² 6.27 cm6.67 cm² 6.27 cm6.67 cm² 6.27 cm6.67 cm² 6.27 cm
As= 6.67 cm²a= 6.27 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 0.83 m
![Page 210: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/210.jpg)
NUDO 3Mu= 9.19 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.00 cm² 7.53 cm8.10 cm² 7.62 cm8.11 cm² 7.64 cm8.12 cm² 7.64 cm8.12 cm² 7.64 cm8.12 cm² 7.64 cm
As= 8.12 cm²a= 7.64 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.94 m
![Page 211: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/211.jpg)
NUDO 3'Mu= 9.50 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
8.27 cm² 7.78 cm8.41 cm² 7.91 cm8.43 cm² 7.93 cm8.43 cm² 7.93 cm8.43 cm² 7.93 cm8.43 cm² 7.93 cm
As= 8.43 cm²a= 7.93 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.97 m
![Page 212: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/212.jpg)
NUDO 4Mu= 6.18 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.38 cm² 5.06 cm5.23 cm² 4.92 cm5.22 cm² 4.91 cm5.22 cm² 4.91 cm5.22 cm² 4.91 cm5.22 cm² 4.91 cm
As= 5.22 cm²a= 4.91 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.71 m
![Page 213: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/213.jpg)
NUDO 5Mu= 7.43 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.47 cm² 6.09 cm6.40 cm² 6.02 cm6.39 cm² 6.01 cm6.39 cm² 6.01 cm6.39 cm² 6.01 cm6.39 cm² 6.01 cm
As= 6.39 cm²a= 6.01 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 0.81 m
![Page 214: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/214.jpg)
NUDO 6Mu= 8.57 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.46 cm² 7.02 cm7.49 cm² 7.05 cm7.49 cm² 7.05 cm7.49 cm² 7.05 cm7.49 cm² 7.05 cm7.49 cm² 7.05 cm
As= 7.49 cm²a= 7.05 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 0.90 m
![Page 215: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/215.jpg)
CUARTO PISONUDO 1
Mu= 0.61 tn-mVu= 4.43 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
0.53 cm² 0.50 cm0.48 cm² 0.45 cm0.48 cm² 0.45 cm0.48 cm² 0.45 cm0.48 cm² 0.45 cm0.48 cm² 0.45 cm
As= 0.48 cm²a= 0.45 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (1ØN°6 )Area= 2.85 cm² okVerificacion de CuantiaƤ= 0.0034Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 11.815 ok
Longitud de Desarrollo a flexiónLd= 0.35 m
![Page 216: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/216.jpg)
NUDO 2Mu= 4.66 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.06 cm² 3.82 cm3.87 cm² 3.64 cm3.86 cm² 3.63 cm3.86 cm² 3.63 cm3.86 cm² 3.63 cm3.86 cm² 3.63 cm
As= 3.86 cm²a= 3.63 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5 )Area= 7.68 cm² okVerificacion de CuantiaƤ= 0.0091Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.395 ok
Longitud de Desarrollo a flexiónLd= 0.59 m
![Page 217: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/217.jpg)
NUDO 3Mu= 6.55 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.70 cm² 5.36 cm5.57 cm² 5.24 cm5.56 cm² 5.23 cm5.56 cm² 5.23 cm5.56 cm² 5.23 cm5.56 cm² 5.23 cm
As= 5.56 cm²a= 5.23 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.74 m
![Page 218: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/218.jpg)
NUDO 3'Mu= 8.40 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.31 cm² 6.88 cm7.33 cm² 6.89 cm7.33 cm² 6.90 cm7.33 cm² 6.90 cm7.33 cm² 6.90 cm7.33 cm² 6.90 cm
As= 7.33 cm²a= 6.90 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 )Area= 8.28 cm² okVerificacion de CuantiaƤ= 0.0098Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.88 m
![Page 219: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/219.jpg)
NUDO 4Mu= 5.40 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.70 cm² 4.42 cm4.53 cm² 4.26 cm4.51 cm² 4.25 cm4.51 cm² 4.25 cm4.51 cm² 4.25 cm4.51 cm² 4.25 cm
As= 4.51 cm²a= 4.25 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.65 m
![Page 220: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/220.jpg)
NUDO 5Mu= 6.44 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.60 cm² 5.27 cm5.47 cm² 5.15 cm5.46 cm² 5.14 cm5.46 cm² 5.14 cm5.46 cm² 5.14 cm5.46 cm² 5.14 cm
As= 5.46 cm²a= 5.14 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (4ØN°5)Area= 7.92 cm² okVerificacion de CuantiaƤ= 0.0094Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.73 m
![Page 221: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/221.jpg)
NUDO 6Mu= 8.12 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
7.07 cm² 6.65 cm7.05 cm² 6.64 cm7.05 cm² 6.64 cm7.05 cm² 6.64 cm7.05 cm² 6.64 cm7.05 cm² 6.64 cm
As= 7.05 cm²a= 6.64 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (4ØN°5)Area= 7.92 cm² okVerificacion de CuantiaƤ= 0.0094Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 23.885 ok
Longitud de Desarrollo a flexiónLd= 0.86 m
![Page 222: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/222.jpg)
QUINTO PISONUDO 5
Mu= 4.96 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.32 cm² 4.06 cm4.13 cm² 3.89 cm4.12 cm² 3.88 cm4.12 cm² 3.88 cm4.12 cm² 3.88 cm4.12 cm² 3.88 cm
As= 4.12 cm²a= 3.88 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.61 m
![Page 223: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/223.jpg)
NUDO 6Mu= 5.99 tn-mVu= 11.57 tn-mb= 25 cmh= 40 cmr= 4.00 cme= 0.95 cmd= 33.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.21 cm² 4.91 cm5.06 cm² 4.76 cm5.05 cm² 4.75 cm5.05 cm² 4.75 cm5.05 cm² 4.75 cm5.05 cm² 4.75 cm
As= 5.05 cm²a= 4.75 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0068Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
Longitud de Desarrollo a flexiónLd= 0.70 m
![Page 224: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/224.jpg)
DISEÑO DE VIGAS EJE 1-1
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito Luis
FECHA: 4/22/2016
PRIMER PISOACERO NEGATIVO
NUDO D CLARO (D-B')Mu= 1.50 tn-m Mu= 0.96 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.86 cm² 1.75 cm 1.19 cm² 1.12 cm1.73 cm² 1.63 cm 1.10 cm² 1.03 cm1.73 cm² 1.63 cm 1.10 cm² 1.03 cm1.73 cm² 1.63 cm 1.10 cm² 1.03 cm1.73 cm² 1.63 cm 1.10 cm² 1.03 cm1.73 cm² 1.63 cm 1.10 cm² 1.03 cm
As= 1.73 cm² As= 1.10 cm²a= 1.63 cm a= 1.03 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimo
![Page 225: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/225.jpg)
bm= 15.625 ok bm= 15.625 ok
![Page 226: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/226.jpg)
NUDO B' CLARO (B'-A)Mu= 1.81 tn-m Mu= 0.94 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.23 cm² 2.10 cm 1.16 cm² 1.10 cm2.10 cm² 1.98 cm 1.07 cm² 1.01 cm2.10 cm² 1.97 cm 1.07 cm² 1.01 cm2.10 cm² 1.97 cm 1.07 cm² 1.01 cm2.10 cm² 1.97 cm 1.07 cm² 1.01 cm2.10 cm² 1.97 cm 1.07 cm² 1.01 cm
As= 2.10 cm² As= 1.07 cm²a= 1.97 cm a= 1.01 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (4ØN°4) Usar: (2ØN°4)Area= 5.16 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0087 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
PRIMER PISOACERO POSITIVO
NUDO D CLARO (D-B')Mu= 1.81 tn-m Mu= 1.18 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2
![Page 227: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/227.jpg)
f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.23 cm² 2.10 cm 1.46 cm² 1.38 cm2.10 cm² 1.98 cm 1.35 cm² 1.27 cm2.10 cm² 1.97 cm 1.35 cm² 1.27 cm2.10 cm² 1.97 cm 1.35 cm² 1.27 cm2.10 cm² 1.97 cm 1.35 cm² 1.27 cm2.10 cm² 1.97 cm 1.35 cm² 1.27 cm
As= 2.10 cm² As= 1.35 cm²a= 1.97 cm a= 1.27 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 1.39 tn-m Mu= 1.09 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.72 cm² 1.62 cm 1.35 cm² 1.27 cm1.61 cm² 1.51 cm 1.24 cm² 1.17 cm1.60 cm² 1.51 cm 1.24 cm² 1.17 cm1.60 cm² 1.51 cm 1.24 cm² 1.17 cm1.60 cm² 1.51 cm 1.24 cm² 1.17 cm1.60 cm² 1.51 cm 1.24 cm² 1.17 cm
As= 1.60 cm² As= 1.24 cm²a= 1.51 cm a= 1.17 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø
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3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
SEGUNDO PISOACERO NEGATIVO
NUDO D CLARO (D-B')Mu= 1.59 tn-m Mu= 1.05 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.96 cm² 1.85 cm 1.29 cm² 1.22 cm1.84 cm² 1.73 cm 1.19 cm² 1.12 cm1.83 cm² 1.72 cm 1.19 cm² 1.12 cm1.83 cm² 1.72 cm 1.19 cm² 1.12 cm1.83 cm² 1.72 cm 1.19 cm² 1.12 cm1.83 cm² 1.72 cm 1.19 cm² 1.12 cm
As= 1.83 cm² As= 1.19 cm²a= 1.72 cm a= 1.12 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
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Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 1.68 tn-m Mu= 1.08 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.07 cm² 1.95 cm 1.34 cm² 1.26 cm1.94 cm² 1.83 cm 1.24 cm² 1.17 cm1.94 cm² 1.82 cm 1.24 cm² 1.16 cm1.94 cm² 1.82 cm 1.24 cm² 1.16 cm1.94 cm² 1.82 cm 1.24 cm² 1.16 cm1.94 cm² 1.82 cm 1.24 cm² 1.16 cm
As= 1.94 cm² As= 1.24 cm²a= 1.82 cm a= 1.16 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4+2ØN°5) Usar: (2ØN°4)Area= 6.54 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0110 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
SEGUNDO PISOACERO POSITIVO
NUDO D CLARO (D-B')Mu= 2.22 tn-m Mu= 1.21 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cm
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r= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.75 cm² 2.58 cm 1.50 cm² 1.41 cm2.61 cm² 2.46 cm 1.39 cm² 1.31 cm2.61 cm² 2.45 cm 1.39 cm² 1.31 cm2.61 cm² 2.45 cm 1.39 cm² 1.31 cm2.61 cm² 2.45 cm 1.39 cm² 1.31 cm2.61 cm² 2.45 cm 1.39 cm² 1.31 cm
As= 2.61 cm² As= 1.39 cm²a= 2.45 cm a= 1.31 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°4) Usar: (2ØN°4)Area= 3.87 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0065 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 1.85 tn-m Mu= 1.08 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.29 cm² 2.16 cm 1.34 cm² 1.26 cm2.16 cm² 2.03 cm 1.24 cm² 1.17 cm2.16 cm² 2.03 cm 1.24 cm² 1.16 cm2.16 cm² 2.03 cm 1.24 cm² 1.16 cm2.16 cm² 2.03 cm 1.24 cm² 1.16 cm2.16 cm² 2.03 cm 1.24 cm² 1.16 cm
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As= 2.16 cm² As= 1.24 cm²a= 2.03 cm a= 1.16 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
TERCER PISOACERO NEGATIVO
NUDO D CLARO (D-B')Mu= 1.61 tn-m Mu= 1.00 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.99 cm² 1.87 cm 1.24 cm² 1.17 cm1.86 cm² 1.75 cm 1.14 cm² 1.08 cm1.86 cm² 1.75 cm 1.14 cm² 1.08 cm1.86 cm² 1.75 cm 1.14 cm² 1.08 cm1.86 cm² 1.75 cm 1.14 cm² 1.08 cm1.86 cm² 1.75 cm 1.14 cm² 1.08 cm
As= 1.86 cm² As= 1.14 cm²a= 1.75 cm a= 1.08 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)
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Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 1.57 tn-m Mu= 1.06 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.94 cm² 1.83 cm 1.32 cm² 1.24 cm1.82 cm² 1.71 cm 1.22 cm² 1.14 cm1.81 cm² 1.71 cm 1.21 cm² 1.14 cm1.81 cm² 1.71 cm 1.21 cm² 1.14 cm1.81 cm² 1.71 cm 1.21 cm² 1.14 cm1.81 cm² 1.71 cm 1.21 cm² 1.14 cm
As= 1.81 cm² As= 1.21 cm²a= 1.71 cm a= 1.14 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (4ØN°4) Usar: (2ØN°4)Area= 5.16 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0087 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
TERCER PISOACERO POSITIVO
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NUDO D CLARO (D-B')Mu= 2.04 tn-m Mu= 1.21 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.53 cm² 2.38 cm 1.49 cm² 1.40 cm2.39 cm² 2.25 cm 1.38 cm² 1.30 cm2.39 cm² 2.25 cm 1.38 cm² 1.30 cm2.39 cm² 2.25 cm 1.38 cm² 1.30 cm2.39 cm² 2.25 cm 1.38 cm² 1.30 cm2.39 cm² 2.25 cm 1.38 cm² 1.30 cm
As= 2.39 cm² As= 1.38 cm²a= 2.25 cm a= 1.30 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 1.75 tn-m Mu= 1.07 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
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2.16 cm² 2.03 cm 1.33 cm² 1.25 cm2.03 cm² 1.91 cm 1.23 cm² 1.15 cm2.03 cm² 1.91 cm 1.22 cm² 1.15 cm2.03 cm² 1.91 cm 1.22 cm² 1.15 cm2.03 cm² 1.91 cm 1.22 cm² 1.15 cm2.03 cm² 1.91 cm 1.22 cm² 1.15 cm
As= 2.03 cm² As= 1.22 cm²a= 1.91 cm a= 1.15 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
CUARTO PISOACERO NEGATIVO
NUDO D CLARO (D-B')Mu= 1.37 tn-m Mu= 0.77 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.69 cm² 1.59 cm 0.96 cm² 0.90 cm1.58 cm² 1.49 cm 0.88 cm² 0.83 cm1.57 cm² 1.48 cm 0.88 cm² 0.82 cm1.57 cm² 1.48 cm 0.88 cm² 0.82 cm1.57 cm² 1.48 cm 0.88 cm² 0.82 cm1.57 cm² 1.48 cm 0.88 cm² 0.82 cm
As= 1.57 cm² As= 0.88 cm²a= 1.48 cm a= 0.82 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm
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4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 0.72 tn-m Mu= 0.72 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
0.89 cm² 0.84 cm 0.89 cm² 0.84 cm0.82 cm² 0.77 cm 0.82 cm² 0.77 cm0.81 cm² 0.77 cm 0.81 cm² 0.77 cm0.81 cm² 0.77 cm 0.81 cm² 0.77 cm0.81 cm² 0.77 cm 0.81 cm² 0.77 cm0.81 cm² 0.77 cm 0.81 cm² 0.77 cm
As= 0.81 cm² As= 0.81 cm²a= 0.77 cm a= 0.77 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°4) Usar: (2ØN°4)Area= 3.87 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0065 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
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CUARTO PISOACERO POSITIVO
NUDO D CLARO (D-B')Mu= 1.04 tn-m Mu= 1.23 tn-mVu= 2.99 tn Vu= 0.69 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.29 cm² 1.21 cm 1.52 cm² 1.43 cm1.19 cm² 1.12 cm 1.41 cm² 1.33 cm1.19 cm² 1.12 cm 1.41 cm² 1.32 cm1.19 cm² 1.12 cm 1.41 cm² 1.32 cm1.19 cm² 1.12 cm 1.41 cm² 1.32 cm1.19 cm² 1.12 cm 1.41 cm² 1.32 cm
As= 1.19 cm² As= 1.41 cm²a= 1.12 cm a= 1.32 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 1.70 tn-m Mu= 1.15 tn-mVu= 2.65 tn Vu= 0.86 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90
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fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.10 cm² 1.98 cm 1.42 cm² 1.34 cm1.97 cm² 1.86 cm 1.32 cm² 1.24 cm1.97 cm² 1.85 cm 1.32 cm² 1.24 cm1.97 cm² 1.85 cm 1.32 cm² 1.24 cm1.97 cm² 1.85 cm 1.32 cm² 1.24 cm1.97 cm² 1.85 cm 1.32 cm² 1.24 cm
As= 1.97 cm² As= 1.32 cm²a= 1.85 cm a= 1.24 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0043 Ƥ= 0.0043Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 15.625 ok bm= 15.625 ok
![Page 238: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/238.jpg)
DISEÑO DE VIGAS EJE 1-1
PRIMER PISOACERO NEGATIVO
NUDO B'Mu= 3.85 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.76 cm² 4.48 cm4.73 cm² 4.45 cm4.73 cm² 4.45 cm4.73 cm² 4.45 cm4.73 cm² 4.45 cm4.73 cm² 4.45 cm
As= 4.73 cm²a= 4.45 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (4ØN°4)Area= 5.16 cm² okVerificacion de CuantiaƤ= 0.0087Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo
![Page 239: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/239.jpg)
bm= 15.625 ok
![Page 240: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/240.jpg)
NUDO AMu= 3.77 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.66 cm² 4.38 cm4.62 cm² 4.35 cm4.61 cm² 4.34 cm4.61 cm² 4.34 cm4.61 cm² 4.34 cm4.61 cm² 4.34 cm
As= 4.61 cm²a= 4.34 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 5.16 cm² okVerificacion de CuantiaƤ= 0.0087Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
PRIMER PISOACERO POSITIVO
NUDO B'Mu= 1.28 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2
![Page 241: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/241.jpg)
f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.59 cm² 1.49 cm1.47 cm² 1.39 cm1.47 cm² 1.38 cm1.47 cm² 1.38 cm1.47 cm² 1.38 cm1.47 cm² 1.38 cm
As= 1.47 cm²a= 1.38 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 1.26 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.55 cm² 1.46 cm1.44 cm² 1.36 cm1.44 cm² 1.35 cm1.44 cm² 1.35 cm1.44 cm² 1.35 cm1.44 cm² 1.35 cm
As= 1.44 cm²a= 1.35 cm
VARILLAS DE ACERON° Area Ø
![Page 242: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/242.jpg)
3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
SEGUNDO PISOACERO NEGATIVO
NUDO B'Mu= 4.19 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.17 cm² 4.87 cm5.19 cm² 4.88 cm5.19 cm² 4.88 cm5.19 cm² 4.88 cm5.19 cm² 4.88 cm5.19 cm² 4.88 cm
As= 5.19 cm²a= 4.88 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4+2ØN°5)Area= 6.54 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
![Page 243: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/243.jpg)
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 4.34 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.36 cm² 5.05 cm5.40 cm² 5.08 cm5.41 cm² 5.09 cm5.41 cm² 5.09 cm5.41 cm² 5.09 cm5.41 cm² 5.09 cm
As= 5.41 cm²a= 5.09 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4+2ØN°5)Area= 6.54 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
SEGUNDO PISOACERO POSITIVO
NUDO B'Mu= 1.40 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cm
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r= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.72 cm² 1.62 cm1.61 cm² 1.51 cm1.60 cm² 1.51 cm1.60 cm² 1.51 cm1.60 cm² 1.51 cm1.60 cm² 1.51 cm
As= 1.60 cm²a= 1.51 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 1.45 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.79 cm² 1.68 cm1.67 cm² 1.57 cm1.66 cm² 1.57 cm1.66 cm² 1.57 cm1.66 cm² 1.57 cm1.66 cm² 1.57 cm
![Page 245: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/245.jpg)
As= 1.66 cm²a= 1.57 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
TERCER PISOACERO NEGATIVO
NUDO B'Mu= 4.01 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
4.96 cm² 4.67 cm4.95 cm² 4.66 cm4.95 cm² 4.66 cm4.95 cm² 4.66 cm4.95 cm² 4.66 cm4.95 cm² 4.66 cm
As= 4.95 cm²a= 4.66 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (4ØN°4)
![Page 246: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/246.jpg)
Area= 5.16 cm² okVerificacion de CuantiaƤ= 0.0087Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 4.26 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.26 cm² 4.95 cm5.29 cm² 4.98 cm5.29 cm² 4.98 cm5.29 cm² 4.98 cm5.29 cm² 4.98 cm5.29 cm² 4.98 cm
As= 5.29 cm²a= 4.98 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4+2ØN°5)Area= 6.54 cm² okVerificacion de CuantiaƤ= 0.0110Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
TERCER PISOACERO POSITIVO
![Page 247: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/247.jpg)
NUDO B'Mu= 1.34 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.65 cm² 1.56 cm1.54 cm² 1.45 cm1.54 cm² 1.45 cm1.54 cm² 1.45 cm1.54 cm² 1.45 cm1.54 cm² 1.45 cm
As= 1.54 cm²a= 1.45 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 1.42 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
![Page 248: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/248.jpg)
1.75 cm² 1.65 cm1.64 cm² 1.54 cm1.63 cm² 1.54 cm1.63 cm² 1.54 cm1.63 cm² 1.54 cm1.63 cm² 1.54 cm
As= 1.63 cm²a= 1.54 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
CUARTO PISOACERO NEGATIVO
NUDO B'Mu= 3.10 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
3.83 cm² 3.60 cm3.73 cm² 3.51 cm3.72 cm² 3.50 cm3.72 cm² 3.50 cm3.72 cm² 3.50 cm3.72 cm² 3.50 cm
As= 3.72 cm²a= 3.50 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm
![Page 249: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/249.jpg)
4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°4)Area= 3.87 cm² okVerificacion de CuantiaƤ= 0.0065Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 2.88 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
3.56 cm² 3.35 cm3.45 cm² 3.25 cm3.44 cm² 3.24 cm3.44 cm² 3.24 cm3.44 cm² 3.24 cm3.44 cm² 3.24 cm
As= 3.44 cm²a= 3.24 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°4)Area= 3.87 cm² okVerificacion de CuantiaƤ= 0.0065Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
![Page 250: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/250.jpg)
CUARTO PISOACERO POSITIVO
NUDO B'Mu= 1.03 tn-mVu= 2.73 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.28 cm² 1.20 cm1.18 cm² 1.11 cm1.18 cm² 1.11 cm1.18 cm² 1.11 cm1.18 cm² 1.11 cm1.18 cm² 1.11 cm
As= 1.18 cm²a= 1.11 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
NUDO AMu= 0.96 tn-mVu= 2.91 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90
![Page 251: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/251.jpg)
fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.19 cm² 1.12 cm1.09 cm² 1.03 cm1.09 cm² 1.03 cm1.09 cm² 1.03 cm1.09 cm² 1.03 cm1.09 cm² 1.03 cm
As= 1.09 cm²a= 1.03 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² okVerificacion de CuantiaƤ= 0.0043Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 15.625 ok
![Page 252: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/252.jpg)
DISEÑO DE VIGAS EJE 2-2
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO NEGATIVO
![Page 253: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/253.jpg)
NUDO D CLARO (D-B')Mu= 3.49 tn-m Mu= 3.49 tn-mVu= 8.31 tn Vu= 5.20 tnb= 25 cm b= 25 cmh= 45 cm h= 45 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 38.78 cm d= 38.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
2.65 cm² 2.49 cm 2.65 cm² 2.49 cm2.46 cm² 2.32 cm 2.46 cm² 2.32 cm2.46 cm² 2.31 cm 2.46 cm² 2.31 cm2.46 cm² 2.31 cm 2.46 cm² 2.31 cm2.46 cm² 2.31 cm 2.46 cm² 2.31 cm2.46 cm² 2.31 cm 2.46 cm² 2.31 cm
As= 2.46 cm² As= 2.46 cm²a= 2.31 cm a= 2.31 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°4) Usar: (2ØN°4)Area= 3.87 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0040 Ƥ= 0.0027Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 2.64 tn-m Mu= 1.98 tn-mVu= 8.02 tn Vu= 5.58 tnb= 25 cm b= 25 cmh= 45 cm h= 45 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 38.78 cm d= 38.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
![Page 254: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/254.jpg)
Itaraciones ItaracionesAs a As a
2.00 cm² 1.88 cm 1.50 cm² 1.41 cm1.84 cm² 1.74 cm 1.38 cm² 1.29 cm1.84 cm² 1.73 cm 1.37 cm² 1.29 cm1.84 cm² 1.73 cm 1.37 cm² 1.29 cm1.84 cm² 1.73 cm 1.37 cm² 1.29 cm1.84 cm² 1.73 cm 1.37 cm² 1.29 cm
As= 1.84 cm² As= 1.37 cm²a= 1.73 cm a= 1.29 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² ok Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0027 Ƥ= 0.0027Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
PRIMER PISOACERO POSITIVO
NUDO D CLARO (D-B')Mu= 6.58 tn-m Mu= 3.49 tn-mVu= 8.31 tn Vu= 5.20 tnb= 25 cm b= 25 cmh= 45 cm h= 45 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 38.78 cm d= 38.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
4.99 cm² 4.69 cm 2.65 cm² 2.49 cm4.78 cm² 4.50 cm 2.46 cm² 2.32 cm4.77 cm² 4.49 cm 2.46 cm² 2.31 cm4.76 cm² 4.48 cm 2.46 cm² 2.31 cm4.76 cm² 4.48 cm 2.46 cm² 2.31 cm4.76 cm² 4.48 cm 2.46 cm² 2.31 cm
![Page 255: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/255.jpg)
As= 4.76 cm² As= 2.46 cm²a= 4.48 cm a= 2.31 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°4) Usar: (2ØN°4)Area= 2.58 cm² no pasa Area= 2.58 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0027 Ƥ= 0.0027Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
NUDO B' CLARO (B'-A)Mu= 7.92 tn-m Mu= 1.98 tn-mVu= 8.02 tn Vu= 5.58 tnb= 25 cm b= 25 cmh= 45 cm h= 45 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 38.78 cm d= 38.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
6.00 cm² 5.65 cm 1.50 cm² 1.41 cm5.82 cm² 5.48 cm 1.38 cm² 1.29 cm5.81 cm² 5.47 cm 1.37 cm² 1.29 cm5.81 cm² 5.47 cm 1.37 cm² 1.29 cm5.81 cm² 5.47 cm 1.37 cm² 1.29 cm5.81 cm² 5.47 cm 1.37 cm² 1.29 cm
As= 5.81 cm² As= 1.37 cm²a= 5.47 cm a= 1.29 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (3ØN°4) Usar: (2ØN°4)Area= 3.87 cm² no pasa Area= 2.58 cm² ok
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Verificacion de Cuantia Verificacion de CuantiaƤ= 0.0040 Ƥ= 0.0027Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.075 ok bm= 15.625 ok
![Page 257: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/257.jpg)
SEGUNDO PISOACERO NEGATIVO
![Page 258: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/258.jpg)
DISEÑO DE VIGAS EJE 2-2
PRIMER PISOACERO NEGATIVO
![Page 259: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/259.jpg)
NUDO B'Mu= 13.98 tn-mVu= 7.68 tnb= 25 cmh= 45 cmr= 4.00 cme= 0.95 cmd= 38.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
10.60 cm² 9.97 cm10.94 cm² 10.30 cm11.00 cm² 10.35 cm11.01 cm² 10.36 cm11.01 cm² 10.36 cm11.01 cm² 10.36 cm
As= 11.01 cm²a= 10.36 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 11.10 cm² okVerificacion de CuantiaƤ= 0.0114Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
NUDO AMu= 5.85 tn-mVu= 6.13 tnb= 25 cmh= 45 cmr= 4.00 cme= 0.95 cmd= 38.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
![Page 260: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/260.jpg)
ItaracionesAs a
4.43 cm² 4.17 cm4.22 cm² 3.97 cm4.21 cm² 3.96 cm4.21 cm² 3.96 cm4.21 cm² 3.96 cm4.21 cm² 3.96 cm
As= 4.21 cm²a= 3.96 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4 + 1ØN°5)Area= 4.56 cm² okVerificacion de CuantiaƤ= 0.0047Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
PRIMER PISOACERO POSITIVO
NUDO B'Mu= 4.66 tn-mVu= 7.68 tnb= 25 cmh= 45 cmr= 4.00 cme= 0.95 cmd= 38.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
3.53 cm² 3.32 cm3.32 cm² 3.13 cm3.31 cm² 3.12 cm3.31 cm² 3.12 cm3.31 cm² 3.12 cm3.31 cm² 3.12 cm
![Page 261: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/261.jpg)
As= 3.31 cm²a= 3.12 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (3ØN°4)Area= 3.87 cm² okVerificacion de CuantiaƤ= 0.0040Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
NUDO AMu= 1.98 tn-mVu= 6.13 tnb= 25 cmh= 45 cmr= 4.00 cme= 0.95 cmd= 38.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
1.50 cm² 1.41 cm1.38 cm² 1.29 cm1.37 cm² 1.29 cm1.37 cm² 1.29 cm1.37 cm² 1.29 cm1.37 cm² 1.29 cm
As= 1.37 cm²a= 1.29 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°4)Area= 2.58 cm² ok
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Verificacion de CuantiaƤ= 0.0027Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 20.075 ok
![Page 263: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/263.jpg)
SEGUNDO PISOACERO NEGATIVO
![Page 264: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/264.jpg)
DISEÑO DE VIGAS EJE 3-3
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO POSITIVO
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NUDO D CLARO D - CMu= 1.16 tn-m Mu= 1.16 tn-mVu= 3.68 tn Vu= 2.51 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.43 cm² 1.35 cm 1.43 cm² 1.35 cm1.33 cm² 1.25 cm 1.33 cm² 1.25 cm1.33 cm² 1.25 cm 1.33 cm² 1.25 cm1.33 cm² 1.25 cm 1.33 cm² 1.25 cm1.33 cm² 1.25 cm 1.33 cm² 1.25 cm1.33 cm² 1.25 cm 1.33 cm² 1.25 cm
As= 1.33 cm² As= 1.33 cm²a= 1.25 cm a= 1.25 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5)Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0096 Ƥ= 0.0067Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
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DISEÑO DE VIGAS EJE 3-3
PRIMER PISOACERO POSITIVO
![Page 267: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/267.jpg)
NUDO CMu= 4.64 tn-mVu= 3.60 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
5.74 cm² 5.40 cm5.83 cm² 5.48 cm5.84 cm² 5.49 cm5.84 cm² 5.50 cm5.84 cm² 5.50 cm5.84 cm² 5.50 cm
As= 5.84 cm²a= 5.50 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0096Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
![Page 268: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/268.jpg)
DISEÑO DE VIGAS EJE 4-4
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO POSITIVO
![Page 269: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/269.jpg)
NUDO D CLARO D - BMu= 1.19 tn-m Mu= 0.78 tn-mVu= 4.94 tn Vu= 4.16 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.47 cm² 1.38 cm 0.96 cm² 0.91 cm1.36 cm² 1.28 cm 0.88 cm² 0.83 cm1.36 cm² 1.28 cm 0.88 cm² 0.83 cm1.36 cm² 1.28 cm 0.88 cm² 0.83 cm1.36 cm² 1.28 cm 0.88 cm² 0.83 cm1.36 cm² 1.28 cm 0.88 cm² 0.83 cm
As= 1.36 cm² As= 0.88 cm²a= 1.28 cm a= 0.83 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6) Usar: (2ØN°5)Area= 5.70 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0096 Ƥ= 0.0067Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 16.265 ok bm= 15.625 ok
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NUDO B CLARO B - AMu= 1.41 tn-m Mu= 1.28 tn-mVu= 4.94 tn Vu= 4.16 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.75 cm² 1.64 cm 1.58 cm² 1.49 cm1.63 cm² 1.53 cm 1.47 cm² 1.38 cm1.62 cm² 1.53 cm 1.47 cm² 1.38 cm1.62 cm² 1.53 cm 1.47 cm² 1.38 cm1.62 cm² 1.53 cm 1.47 cm² 1.38 cm1.62 cm² 1.53 cm 1.47 cm² 1.38 cm
As= 1.62 cm² As= 1.47 cm²a= 1.53 cm a= 1.38 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°4 ) Usar: (2ØN°5)Area= 8.28 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0139 Ƥ= 0.0067Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.525 ok bm= 15.625 ok
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DISEÑO DE VIGAS EJE 4-4
PRIMER PISOACERO POSITIVO
![Page 273: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/273.jpg)
NUDO BMu= 3.11 tn-mVu= 5.22 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
3.85 cm² 3.62 cm3.75 cm² 3.53 cm3.74 cm² 3.52 cm3.74 cm² 3.52 cm3.74 cm² 3.52 cm3.74 cm² 3.52 cm
As= 3.74 cm²a= 3.52 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6)Area= 5.70 cm² okVerificacion de CuantiaƤ= 0.0096Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 16.265 ok
![Page 274: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/274.jpg)
NUDO AMu= 5.12 tn-mVu= 5.22 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.33 cm² 5.96 cm6.51 cm² 6.13 cm6.54 cm² 6.16 cm6.54 cm² 6.16 cm6.55 cm² 6.16 cm6.55 cm² 6.16 cm
As= 6.55 cm²a= 6.16 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°4 )Area= 6.99 cm² okVerificacion de CuantiaƤ= 0.0118Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.525 ok
![Page 275: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/275.jpg)
![Page 276: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/276.jpg)
DISEÑO DE VIGAS EJE 4-4
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, BrayanBallena Tapia, ChristianCubas Benavides, Jose LuisRojas Isern, Tito LuisPortilla Bustamante, VictorVega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO POSITIVO
![Page 277: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/277.jpg)
NUDO D CLARO D - BMu= 2.77 tn-m Mu= 1.35 tn-mVu= 4.82 tn Vu= 2.28 tnb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
3.43 cm² 3.23 cm 1.66 cm² 1.57 cm3.31 cm² 3.11 cm 1.55 cm² 1.46 cm3.30 cm² 3.11 cm 1.54 cm² 1.45 cm3.30 cm² 3.11 cm 1.54 cm² 1.45 cm3.30 cm² 3.11 cm 1.54 cm² 1.45 cm3.30 cm² 3.11 cm 1.54 cm² 1.45 cm
As= 3.30 cm² As= 1.54 cm²a= 3.11 cm a= 1.45 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+1ØN°5) Usar: (2ØN°5)Area= 7.68 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0129 Ƥ= 0.0067Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 20.395 ok bm= 15.625 ok
![Page 278: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/278.jpg)
NUDO B CLARO B - AMu= 1.51 tn-m Mu= 1.38 tn-mVu= 5.67 tn Vu= 5.01 tn-mb= 25 cm b= 25 cmh= 30 cm h= 30 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 23.78 cm d= 23.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
1.87 cm² 1.76 cm 1.71 cm² 1.61 cm1.74 cm² 1.64 cm 1.59 cm² 1.50 cm1.74 cm² 1.64 cm 1.59 cm² 1.49 cm1.74 cm² 1.64 cm 1.59 cm² 1.49 cm1.74 cm² 1.64 cm 1.59 cm² 1.49 cm1.74 cm² 1.64 cm 1.59 cm² 1.49 cm
As= 1.74 cm² As= 1.59 cm²a= 1.64 cm a= 1.49 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area Ø3 0.71 cm² 0.95 cm 3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm 4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm 5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm 6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5) Usar: (2ØN°5)Area= 9.66 cm² ok Area= 3.96 cm² okVerificacion de Cuantia Verificacion de CuantiaƤ= 0.0163 Ƥ= 0.0067Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimobm= 24.525 ok bm= 15.625 ok
![Page 279: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/279.jpg)
![Page 280: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/280.jpg)
DISEÑO DE VIGAS EJE 4-4
PRIMER PISOACERO POSITIVO
![Page 281: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/281.jpg)
NUDO BMu= 5.38 tn-mVu= 5.03 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.65 cm² 6.26 cm6.89 cm² 6.49 cm6.93 cm² 6.52 cm6.94 cm² 6.53 cm6.94 cm² 6.53 cm6.94 cm² 6.53 cm
As= 6.94 cm²a= 6.53 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5)Area= 9.66 cm² okVerificacion de CuantiaƤ= 0.0163Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.525 ok
![Page 282: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/282.jpg)
NUDO AMu= 5.53 tn-mVu= 6.12 tn-mb= 25 cmh= 30 cmr= 4.00 cme= 0.95 cmd= 23.78 cmФ 0.90fy= 4200 kg/cm2f'c= 210 kg/cm2β= 0.85
ItaracionesAs a
6.83 cm² 6.43 cm7.11 cm² 6.69 cm7.16 cm² 6.74 cm7.16 cm² 6.74 cm7.17 cm² 6.74 cm7.17 cm² 6.74 cm
As= 7.17 cm²a= 6.74 cm
VARILLAS DE ACERON° Area Ø3 0.71 cm² 0.95 cm4 1.29 cm² 1.27 cm5 1.98 cm² 1.59 cm6 2.85 cm² 1.91 cm8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5)Area= 9.66 cm² okVerificacion de CuantiaƤ= 0.0163Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0163 ok
Verificacion del ancho minimobm= 24.525 ok
![Page 283: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/283.jpg)
![Page 284: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/284.jpg)
DISEÑO DE VIGAS EJE 5-5
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO I
DOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, Brayan
Ballena Tapia, Christian
Cubas Benavides, Jose Luis
Rojas Isern, Tito Luis
Portilla Bustamante, Victor
Vega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO POSITIVO
![Page 285: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/285.jpg)
NUDO D CLARO D - B
Mu= 3.97 tn-m Mu= 2.09 tn-m
Vu= 7.55 tn Vu= 2.84 tn-m
b= 25 cm b= 25 cm
h= 30 cm h= 30 cm
r= 4.00 cm r= 4.00 cm
e= 0.95 cm e= 0.95 cm
d= 23.78 cm d= 23.78 cm
Ф 0.90 Ф 0.90
fy= 4200 kg/cm2 fy= 4200 kg/cm2
f'c= 210 kg/cm2 f'c= 210 kg/cm2
β= 0.85 β= 0.85
Itaraciones Itaraciones
As a As a
4.91 cm² 4.62 cm 2.58 cm² 2.43 cm
4.89 cm² 4.60 cm 2.45 cm² 2.30 cm
4.89 cm² 4.60 cm 2.44 cm² 2.30 cm
4.89 cm² 4.60 cm 2.44 cm² 2.30 cm
4.89 cm² 4.60 cm 2.44 cm² 2.30 cm
4.89 cm² 4.60 cm 2.44 cm² 2.30 cm
As= 4.89 cm² As= 2.44 cm²
a= 4.60 cm a= 2.30 cm
VARILLAS DE ACERO VARILLAS DE ACERO
N° Area Ø N° Area
3 0.71 cm² 0.95 cm 3 0.71 cm²
4 1.29 cm² 1.27 cm 4 1.29 cm²
5 1.98 cm² 1.59 cm 5 1.98 cm²
6 2.85 cm² 1.91 cm 6 2.85 cm²
8 5.10 cm² 2.54 cm 8 5.10 cm²
Usar: (2ØN°6+2ØN°5) Usar: (2ØN°5)
Area= 9.66 cm² ok Area= 3.96 cm²
Verificacion de Cuantia Verificacion de Cuantia
Ƥ= 0.0163 Ƥ= 0.0067
Ƥb= 0.0217 Ƥb= 0.0217
Ƥminima= 0.0026 Ƥminima= 0.0026
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163
Verificacion del ancho minimo Verificacion del ancho minimo
bm= 24.525 ok bm= 15.625
![Page 286: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/286.jpg)
NUDO B CLARO B - A
Mu= 2.02 tn-m Mu= 2.02 tn-m
Vu= 8.07 tn Vu= 6.66 tn-m
b= 25 cm b= 25 cm
h= 30 cm h= 30 cm
r= 4.00 cm r= 4.00 cm
e= 0.95 cm e= 0.95 cm
d= 23.78 cm d= 23.78 cm
Ф 0.90 Ф 0.90
fy= 4200 kg/cm2 fy= 4200 kg/cm2
f'c= 210 kg/cm2 f'c= 210 kg/cm2
β= 0.85 β= 0.85
Itaraciones Itaraciones
As a As a
2.50 cm² 2.35 cm 2.50 cm² 2.35 cm
2.37 cm² 2.23 cm 2.36 cm² 2.23 cm
2.36 cm² 2.22 cm 2.36 cm² 2.22 cm
2.36 cm² 2.22 cm 2.36 cm² 2.22 cm
2.36 cm² 2.22 cm 2.36 cm² 2.22 cm
2.36 cm² 2.22 cm 2.36 cm² 2.22 cm
As= 2.36 cm² As= 2.36 cm²
a= 2.22 cm a= 2.22 cm
VARILLAS DE ACERO VARILLAS DE ACERO
N° Area Ø N° Area
3 0.71 cm² 0.95 cm 3 0.71 cm²
4 1.29 cm² 1.27 cm 4 1.29 cm²
5 1.98 cm² 1.59 cm 5 1.98 cm²
6 2.85 cm² 1.91 cm 6 2.85 cm²
8 5.10 cm² 2.54 cm 8 5.10 cm²
Usar: (2ØN°6+2ØN°5) Usar: (2ØN°5)
Area= 9.66 cm² ok Area= 3.96 cm²
Verificacion de Cuantia Verificacion de Cuantia
Ƥ= 0.0163 Ƥ= 0.0067
Ƥb= 0.0217 Ƥb= 0.0217
Ƥminima= 0.0026 Ƥminima= 0.0026
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163
Verificacion del ancho minimo Verificacion del ancho minimo
bm= 24.525 ok bm= 15.625
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DISEÑO DE VIGAS EJE 5-5
PRIMER PISOACERO POSITIVO
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NUDO B
Mu= 8.34 tn-m
Vu= 7.38 tn-m
b= 25 cm
h= 30 cm
r= 4.00 cm
e= 0.95 cm
d= 23.78 cm
Ф 0.90
fy= 4200 kg/cm2
f'c= 210 kg/cm2
β= 0.85
Itaraciones
As a
10.31 cm² 9.71 cm
11.66 cm² 10.98 cm
12.07 cm² 11.36 cm
12.20 cm² 11.48 cm
12.24 cm² 11.52 cm
12.25 cm² 11.53 cm
As= 12.25 cm²
a= 11.53 cm
VARILLAS DE ACERO VARILLAS DE ACERO
Ø N° Area Ø
0.95 cm 3 0.71 cm² 0.95 cm
1.27 cm 4 1.29 cm² 1.27 cm
1.59 cm 5 1.98 cm² 1.59 cm
1.91 cm 6 2.85 cm² 1.91 cm
2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5)
ok Area= 9.66 cm² ok
Verificacion de Cuantia
Ƥ= 0.0163
Ƥb= 0.0217
Ƥminima= 0.0026
ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimo
ok bm= 24.525 ok
![Page 290: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/290.jpg)
NUDO A
Mu= 8.08 tn-m
Vu= 8.67 tn-m
b= 25 cm
h= 30 cm
r= 4.00 cm
e= 0.95 cm
d= 23.78 cm
Ф 0.90
fy= 4200 kg/cm2
f'c= 210 kg/cm2
β= 0.85
Itaraciones
As a
9.99 cm² 9.40 cm
11.20 cm² 10.55 cm
11.55 cm² 10.87 cm
11.65 cm² 10.97 cm
11.68 cm² 11.00 cm
11.69 cm² 11.01 cm
As= 11.69 cm²
a= 11.01 cm
VARILLAS DE ACERO VARILLAS DE ACERO
Ø N° Area Ø
0.95 cm 3 0.71 cm² 0.95 cm
1.27 cm 4 1.29 cm² 1.27 cm
1.59 cm 5 1.98 cm² 1.59 cm
1.91 cm 6 2.85 cm² 1.91 cm
2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5)
ok Area= 9.66 cm² ok
Verificacion de Cuantia
Ƥ= 0.0163
Ƥb= 0.0217
Ƥminima= 0.0026
ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimo
ok bm= 24.525 ok
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DISEÑO DE VIGAS EJE 6-6
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO I
DOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: Barrenechea Mantilla, Brayan
Ballena Tapia, Christian
Cubas Benavides, Jose Luis
Rojas Isern, Tito Luis
Portilla Bustamante, Victor
Vega Fernandez, Javier
FECHA: 4/22/2016
PRIMER PISOACERO POSITIVO
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NUDO D CLARO D - B
Mu= 1.74 tn-m Mu= 1.37 tn-m
Vu= 5.93 tn Vu= 4.15 tn-m
b= 25 cm b= 25 cm
h= 30 cm h= 30 cm
r= 4.00 cm r= 4.00 cm
e= 0.95 cm e= 0.95 cm
d= 23.78 cm d= 23.78 cm
Ф 0.90 Ф 0.90
fy= 4200 kg/cm2 fy= 4200 kg/cm2
f'c= 210 kg/cm2 f'c= 210 kg/cm2
β= 0.85 β= 0.85
Itaraciones Itaraciones
As a As a
2.15 cm² 2.02 cm 1.69 cm² 1.59 cm
2.02 cm² 1.90 cm 1.58 cm² 1.48 cm
2.02 cm² 1.90 cm 1.57 cm² 1.48 cm
2.02 cm² 1.90 cm 1.57 cm² 1.48 cm
2.02 cm² 1.90 cm 1.57 cm² 1.48 cm
2.02 cm² 1.90 cm 1.57 cm² 1.48 cm
As= 2.02 cm² As= 1.57 cm²
a= 1.90 cm a= 1.48 cm
VARILLAS DE ACERO VARILLAS DE ACERO
N° Area Ø N° Area
3 0.71 cm² 0.95 cm 3 0.71 cm²
4 1.29 cm² 1.27 cm 4 1.29 cm²
5 1.98 cm² 1.59 cm 5 1.98 cm²
6 2.85 cm² 1.91 cm 6 2.85 cm²
8 5.10 cm² 2.54 cm 8 5.10 cm²
Usar: (2ØN°6+2ØN°5) Usar: (2ØN°5)
Area= 9.66 cm² ok Area= 3.96 cm²
Verificacion de Cuantia Verificacion de Cuantia
Ƥ= 0.0163 Ƥ= 0.0067
Ƥb= 0.0217 Ƥb= 0.0217
Ƥminima= 0.0026 Ƥminima= 0.0026
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163
Verificacion del ancho minimo Verificacion del ancho minimo
bm= 24.525 ok bm= 15.625
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NUDO B CLARO B - A
Mu= 1.39 tn-m Mu= 1.15 tn-m
Vu= 7.49 tn Vu= 6.58 tn-m
b= 25 cm b= 25 cm
h= 30 cm h= 30 cm
r= 4.00 cm r= 4.00 cm
e= 0.95 cm e= 0.95 cm
d= 23.78 cm d= 23.78 cm
Ф 0.90 Ф 0.90
fy= 4200 kg/cm2 fy= 4200 kg/cm2
f'c= 210 kg/cm2 f'c= 210 kg/cm2
β= 0.85 β= 0.85
Itaraciones Itaraciones
As a As a
1.72 cm² 1.62 cm 1.42 cm² 1.34 cm
1.60 cm² 1.50 cm 1.31 cm² 1.24 cm
1.60 cm² 1.50 cm 1.31 cm² 1.23 cm
1.59 cm² 1.50 cm 1.31 cm² 1.23 cm
1.59 cm² 1.50 cm 1.31 cm² 1.23 cm
1.59 cm² 1.50 cm 1.31 cm² 1.23 cm
As= 1.59 cm² As= 1.31 cm²
a= 1.50 cm a= 1.23 cm
VARILLAS DE ACERO VARILLAS DE ACERO
N° Area Ø N° Area
3 0.71 cm² 0.95 cm 3 0.71 cm²
4 1.29 cm² 1.27 cm 4 1.29 cm²
5 1.98 cm² 1.59 cm 5 1.98 cm²
6 2.85 cm² 1.91 cm 6 2.85 cm²
8 5.10 cm² 2.54 cm 8 5.10 cm²
Usar: (2ØN°6+2ØN°5) Usar: (2ØN°5)
Area= 9.66 cm² ok Area= 3.96 cm²
Verificacion de Cuantia Verificacion de Cuantia
Ƥ= 0.0163 Ƥ= 0.0067
Ƥb= 0.0217 Ƥb= 0.0217
Ƥminima= 0.0026 Ƥminima= 0.0026
Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163
Verificacion del ancho minimo Verificacion del ancho minimo
bm= 24.525 ok bm= 15.625
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DISEÑO DE VIGAS EJE 6-6
PRIMER PISOACERO POSITIVO
![Page 296: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/296.jpg)
NUDO B
Mu= 5.47 tn-m
Vu= 12.07 tn-m
b= 25 cm
h= 30 cm
r= 4.00 cm
e= 0.95 cm
d= 23.78 cm
Ф 0.90
fy= 4200 kg/cm2
f'c= 210 kg/cm2
β= 0.85
Itaraciones
As a
6.77 cm² 6.37 cm
7.03 cm² 6.62 cm
7.08 cm² 6.66 cm
7.08 cm² 6.67 cm
7.08 cm² 6.67 cm
7.08 cm² 6.67 cm
As= 7.08 cm²
a= 6.67 cm
VARILLAS DE ACERO VARILLAS DE ACERO
Ø N° Area Ø
0.95 cm 3 0.71 cm² 0.95 cm
1.27 cm 4 1.29 cm² 1.27 cm
1.59 cm 5 1.98 cm² 1.59 cm
1.91 cm 6 2.85 cm² 1.91 cm
2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5)
ok Area= 9.66 cm² ok
Verificacion de Cuantia
Ƥ= 0.0163
Ƥb= 0.0217
Ƥminima= 0.0026
ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimo
ok bm= 24.525 ok
![Page 297: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/297.jpg)
NUDO A
Mu= 4.59 tn-m
Vu= 7.32 tn-m
b= 25 cm
h= 30 cm
r= 4.00 cm
e= 0.95 cm
d= 23.78 cm
Ф 0.90
fy= 4200 kg/cm2
f'c= 210 kg/cm2
β= 0.85
Itaraciones
As a
5.68 cm² 5.34 cm
5.76 cm² 5.42 cm
5.77 cm² 5.43 cm
5.77 cm² 5.43 cm
5.77 cm² 5.43 cm
5.77 cm² 5.43 cm
As= 5.77 cm²
a= 5.43 cm
VARILLAS DE ACERO VARILLAS DE ACERO
Ø N° Area Ø
0.95 cm 3 0.71 cm² 0.95 cm
1.27 cm 4 1.29 cm² 1.27 cm
1.59 cm 5 1.98 cm² 1.59 cm
1.91 cm 6 2.85 cm² 1.91 cm
2.54 cm 8 5.10 cm² 2.54 cm
Usar: (2ØN°6+2ØN°5)
ok Area= 9.66 cm² ok
Verificacion de Cuantia
Ƥ= 0.0163
Ƥb= 0.0217
Ƥminima= 0.0026
ok Ƥmaxima= 0.0163 ok
Verificacion del ancho minimo Verificacion del ancho minimo
ok bm= 24.525 ok
![Page 298: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/298.jpg)
DISEÑO DE VIGAS POR RESISTENCIA
UNIVERSIDAD SEÑOR DE SIPAN
CURSO: CONCRETO ARMADO IDOCENTE: ING° SERRANO ZELADA OVIDIO
HECHO POR: CORDOVA SAAVEDRA, Luis Richard.SANCHEZ GUEBARA, Christian Francisco. VALLADOLID SALDANA, Edson PierreTULLUME PAIVA, Deavid Junior
FECHA: 9/12/2012
VIGAS PRINCIPALES
SIMPLEMENTE REFORZADA DOBLEMENTE REFORZADA
Refuerzo por Flexion Refuerzo por Flexion Viga del Portico A - A Viga del Portico A - A
Mu= 13.10 tn-m Mu= 44.00 tn-mVu= 20.00 tnb= 30 cm b= 30 cmh= 45 cm h= 60 cmr= 4.00 cm r= 4.00 cme= 0.95 cm e= 0.95 cmd= 38.78 cm d= 53.78 cmФ 0.90 Ф 0.90fy= 4200 kg/cm2 fy= 4200 kg/cm2f'c= 210 kg/cm2 f'c= 210 kg/cm2β= 0.85 β= 0.85
Itaraciones ItaracionesAs a As a
9.93 cm² 7.79 cm 24.05 cm² 18.86 cm9.93 cm² 7.79 cm 26.25 cm² 20.59 cm9.94 cm² 7.79 cm 26.77 cm² 21.00 cm9.94 cm² 7.79 cm 26.90 cm² 21.09 cm9.94 cm² 7.79 cm 26.93 cm² 21.12 cm9.94 cm² 7.79 cm 26.93 cm² 21.12 cm
A_s=M_u/(〖Фf〗 _y (d−a∕〖 2)〗 )
a = (A_s∗f_y)/(0.85∗〖 f^′〗 _c∗b)
A_s=M_u/(〖Фf〗 _y (d−a∕〖 2)〗 )
a = (A_s∗f_y)/(0.85∗〖 f^′〗 _c∗b)
![Page 299: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/299.jpg)
As= 9.94 cm² As= 26.93 cm²a= 7.79 cm a= 21.12 cm
VARILLAS DE ACERO VARILLAS DE ACERON° Area Ø N° Area3 0.71 cm² 0.95 cm 3 0.71 cm²4 1.29 cm² 1.27 cm 4 1.29 cm²5 1.98 cm² 1.59 cm 5 1.98 cm²6 2.85 cm² 1.91 cm 6 2.85 cm²8 5.10 cm² 2.54 cm 8 5.10 cm²
Usar: Area= 11.40 cm² ok Area= 26.93 cm²
Verificacion de Cuantia Verificacion de Cuantia
Ƥ= 0.0098 Ƥ= 0.0167Ƥb= 0.0217 Ƥb= 0.0217Ƥminima= 0.0026 Ƥminima= 0.0026Ƥmaxima= 0.0163 ok Ƥmaxima= 0.0163
Verificacion del ancho minimobm= 24.525 ok
Area= 3.01 cm² d= 51.24 cmd'= 6.22 cm
Longitud de Desarrollo a flexión As1= 24.99 cm²
Ld=
Por lo tanto diseñamos como viga doblemente reforzada o incrementar la seccion transversal
Ƥ=�_�/��
Ƥb=(0.85f^′ cβ)/fy*(6300/(6300+fy))
=0.70 √ ^′ Ƥ��� (�)� /��
=0Ƥ��� .75Ƥb
Ƥ /=�_���
Ƥb=(0.85f^′ cβ)/fy*(6300/(6300+fy))
=0.70 √ ^′ Ƥ��� (�)� /��
=0Ƥ��� .75Ƥb
+LL�=��/��a
![Page 300: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/300.jpg)
Longitud de Desarrollo a Traccion a= 19.60 cmMu1 39.14 tn-mMu2 4.86 tn-mAs2= 2.86 cm²As= 27.84 cm²Usar: (2ØN°8 + 4ØN°6)Area= 28.95 cm²
F's= 4600 kg/cm2A's= 2.61 cm²
Ѱt= 1.30 Usar: (2ØN°8 + 4ØN°6)Ѱe= 1.00 Area= 6.99 cm²Ѱs= 0.80 ok
1.00 Verificacion de Cuantias= 15n= 4Atr= 1.42 cm²Ktr= 9.94cb= 2.00 cm(cb+Ktr)/db 4.70(cb+Ktr)/db 2.50Ld= 1.11 m okLd= 1.10 mLongitud de Desarrollo a Compresion0,24 y 0,043 mm2/N
Ƥ= 0.0188Ƥb= 0.0217Ƥminima= 0.0026Ƥmaxima= 0.0212
Ld= 0.44 m Verificacion del ancho minimoLd= 0.45 m bm= 22.605Ld= 0.45 m ok
λ=
Ƥ /=�_���
Ƥb=(0.85f^′ cβ)/fy*(6300/(6300+fy))
=0.70 √ ^′ Ƥ��� (�)� /��
=0Ƥ��� .75Ƥb+ ^′ (�) + ^′ )� /�� (� � /��
��= /(1.10√ ^′ ))(�� (� � "∗" ( ∗ ∗ ∗Ѱ� Ѱ� Ѱ� "�" )/(( ) ) ))(��+��� /�� db
Ktr=(Atr∗fyt)/(10∗s∗n)
( ) )(��+��� /�� ≥2.50
��=(0.2 " " /√ ^′ 4�� (�)� )db
��=(0.04 ")db3�� "
![Page 301: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/301.jpg)
DISEÑO DE VIGAS POR RESISTENCIA
VIGAS PRINCIPALES
![Page 302: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/302.jpg)
VARILLAS DE ACEROØ0.95 cm1.27 cm1.59 cm1.91 cm2.54 cm
no pasa
Por lo tanto diseñamos como viga doblemente reforzada o incrementar la seccion transversal
Ƥb=(0.85f^′ cβ)/fy*(6300/(6300+fy))
=0Ƥ��� .75Ƥb
![Page 303: Modifi CA Do](https://reader031.fdocuments.us/reader031/viewer/2022020718/577c80991a28abe054a95e54/html5/thumbnails/303.jpg)
ok
no pasa
ok
ok
ok
Ƥb=(0.85f^′ cβ)/fy*(6300/(6300+fy))
=0Ƥ��� .75Ƥb+ ^′ (�) + ^′ )� /�� (� � /��