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1. INFORMCIÓN GENERAL: UBICACIÓN DE LA VIVIENDA: PASAJE CORICANCHA LOTE 1 Mz. E Nº 2 USO : VIVIENDA SISTEMA DE TECHA: LOZA MACIZA ARMADA EN DOS SENTIDOS, DE ESPE AZOTEA: UTILIZABLE CON PARTE EN ELLA CONSTRUIDA PARA HABITACI ALTURA DE PISO A TECHO: 2,60 m ANCHO DE PUERTAS: 0,90 m ALTURA DE ALFEIZARES: h= 1, 00 m ( excepción de los S.H. dond Peralte de vigas dinteles: 0.30 m. Peralte de vigas soleras: 0,12m (igual al espesor del techo) 2.CARACTERÍSTICAS DE LOS MATERIALES 2.1. ALBAÑILERIA: LADRILLOS CLASE IV-SÓLIDO, t= 13 cm, fb_ 145 Kg/m2 MORTERO TIPO P2: CEMENTO-ARENA: 1:4 PILAS: Resistencia a la Compresión: f`m= 65 kg/cm2=650 ton/m2 Muretes: resistencia característica a corte puro = v´m = 8.1 Módulo de corte = Gm = 0.4 Em = 13,000 kg/cm2; Módulo de Pois 2.2.CONCRETO Resistencia nominal a compresión = f´c = 210 kg/cm2 Módulo de elasticidad = Ec = 200,000 kg/cm2 = 2´000,000 ton/m2 Módulo de Poisson = n = 0.15 2.3.ACERO DE REFUERZO Corrugado, grado 60, esfuerzo de fluencia = fy = 4200 kg/cm2 = 4.2 ton/m 3.CARGAS UNITARIAS 3.1.PESOS VULOMÉTRICOS Peso volumétrico del concreto armado: 2.4 ton/m3 Peso volumétrico de la albañilería: 1.8 ton/m3 Peso volumétrico del tarrajeo: 2.0 ton/m3 3.2.TECHOS Peso propio de la losa de techo: 2.4x0.12 = 0.288 ton/m2 Sobrecarga (incluso en escalera): 0.2 ton/m2, excepto en azotea: 0.1 ton Acabados: 0.1 ton/m2 3.3. MUROS Peso de los muros de albañilería con 1 cm de tarrajeo: 1.8x0.13 + 2.0x0. Ventanas: 0.02 ton/m2 4.ESTRUCTURACIÓN

DISEÑO DE MUROS DE VIVIENDA-1

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Page 1: DISEÑO DE MUROS DE VIVIENDA-1

1. INFORMCIÓN GENERAL:UBICACIÓN DE LA VIVIENDA: PASAJE CORICANCHA LOTE 1 Mz. E Nº 205- LA VICTORIA-CHICLAYOUSO : VIVIENDASISTEMA DE TECHA: LOZA MACIZA ARMADA EN DOS SENTIDOS, DE ESPESOR Hloza: 12 cmAZOTEA: UTILIZABLE CON PARTE EN ELLA CONSTRUIDA PARA HABITACIÓN DEL ENCRGADO DEL SERVICIO DOMÉSTICOALTURA DE PISO A TECHO: 2,60 mANCHO DE PUERTAS: 0,90 mALTURA DE ALFEIZARES: h= 1, 00 m ( excepción de los S.H. donde h= 1,80m)Peralte de vigas dinteles: 0.30 m.Peralte de vigas soleras: 0,12m (igual al espesor del techo)

2.CARACTERÍSTICAS DE LOS MATERIALES2.1. ALBAÑILERIA:LADRILLOS CLASE IV-SÓLIDO, t= 13 cm, fb_ 145 Kg/m2MORTERO TIPO P2: CEMENTO-ARENA: 1:4PILAS: Resistencia a la Compresión: f`m= 65 kg/cm2=650 ton/m2Muretes: resistencia característica a corte puro = v´m = 8.1 kg/cm2= 81 ton/m2Módulo de corte = Gm = 0.4 Em = 13,000 kg/cm2; Módulo de Poisson = n = 0.25

2.2.CONCRETOResistencia nominal a compresión = f´c = 210 kg/cm2Módulo de elasticidad = Ec = 200,000 kg/cm2 = 2´000,000 ton/m2Módulo de Poisson = n = 0.15

2.3.ACERO DE REFUERZOCorrugado, grado 60, esfuerzo de fluencia = fy = 4200 kg/cm2 = 4.2 ton/m2

3.CARGAS UNITARIAS3.1.PESOS VULOMÉTRICOSPeso volumétrico del concreto armado: 2.4 ton/m3Peso volumétrico de la albañilería: 1.8 ton/m3Peso volumétrico del tarrajeo: 2.0 ton/m3

3.2.TECHOSPeso propio de la losa de techo: 2.4x0.12 = 0.288 ton/m2Sobrecarga (incluso en escalera): 0.2 ton/m2, excepto en azotea: 0.1 ton/m2Acabados: 0.1 ton/m2

3.3. MUROS Peso de los muros de albañilería con 1 cm de tarrajeo: 1.8x0.13 + 2.0x0.02 = 0.274 ton/m2Ventanas: 0.02 ton/m2

4.ESTRUCTURACIÓN

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MUROS: La elección de los muros portantes ha seguido el criterio plasmando los ejes X y Y;esto con la finalidad de plantear un diseño ordenado y coherente con los cálculos y el R.N.EPor otro lado se ha plamado que los muros portantes son continuos en toda la edificación.

5.PREDIMENSIONAMIENTO:5.1. ESPESOR EFECTIVO DEL MUROPara la zona sísmica donde la vivienda se ubica, utilizares la formula:

h = 2.6

t = 0.13 m

a) DIRECCIÓN: X-X t(espesor) L(Longitud)1X = 0.23 * 1.342X = 0.23 * 3.53X = 0.23 * 1.24X = 0.23 * 2.955X = 0.23 * 2.956X = 0.23 * 4.37X = 0.23 * 2.58X = 0.23 * 1.759x = 0.23 * 2

10x = 0.23 * 2.7SUMA X-X

b) DIRECCIÓN: Y-Y t(ESPESOR) L(Longitud)1Y = 0.13 * 4.652Y 0.13 * 43Y = 0.13 * 5.224Y = 0.13 * 1.55Y = 0.13 * 1.76Y = 0.13 * 3.157Y = 0.13 * 3.58Y = 0.13 * 2.6

ESCALERAS: Parte de las esclares son muros portantes para aporvechar la continuidad del muro en la edificación

ALFÉIZARES: Estos son aislados en en toda la estructura.

t= h/20

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9Y = 0.13 * 3.1510 Y = 0.13 * 3.111Y = 0.13 212Y = 0.13 * 3.5

SUMA Y-Y

5.2.ÁREA DE LA PLANTA TÍPICA

AREAS PARCIALES LADO: X LADO: Y ÁREA(m2)A1 = 3.05 8 24.4A2 = 1.15 5.05 5.8075A3 = 5.05 0.2 1.01A4 = 1.35 2.95 3.9825A5 = 2.44 2.9 7.076A6 = 1.09 2.95 3.2155A7 = 4.21 8 33.68A8 = 4.85 8 38.8A9 = 1.2 0.57 0.684

A10 = 3.5 5.8 20.3A11 = 1.3 2.5 3.25A12 = 1.25 2.8 3.5A13 = 3.5 2.8 9.8A14 = 0.85 3.5 2.975A15 = 0.9 3.8 3.42A16 = 0.2 10.8 2.16A17 = 0.6 0.4 0.24A18 = 0.6 1.16 0.696A19 = 0.8 1.06 0.848A20 = 0.65 0.15 0.0975A21 = 0.8 3.78 3.024A22 = 0.65 0.15 0.0975A23 = 1.46 0.8 1.168A24 = 1.81 0.65 1.1765A25 = 0.65 0.25 0.1625

TOTAL 171.57055.3. DENSIDAD DE LOS MUROS A REFORZAR

a) MUROS EN DIRECCIÓN X-X

Datos

ZU = 0.4 La vivienda está ubicada en la zona sísmica 3 (Norma E.0.30)

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S = 1 La vivienda es de uso ( Norma E. 0.30)N = 1 La vivienda suelos rígidos(asumido)

= 3 Número de niveles de la vivienda

Entonces:

0.03376863 ≥ 0.02143 Si cumple cuando cambiamos el espsor de t=013 m (CON ESTE VALOR NO CUMPLE LA RELACIÓN) a t=0,23 m

b) MUROS EN LA DIRECCIÓN Y-Y (Muro con U.A. de cabeza)

Datos

ZU = 0.4 La vivienda está ubicada en la zona sísmica 3 (Norma E.0.30)S = 1 La vivienda es de uso ( Norma E. 0.30)N = 1 La vivienda suelos rígidos(asumido)

= 3 Número de niveles de la vivienda

Por tanto

Entonces:

0.00234889 ≥ 0.02143 SI CUMPLE, entonces lo asumido es correctodel muro t= 0.13(muro de soga)

5.4. ESFUERZO AXIAL MÁXIMO

a) EN MUEROS EN LA DIRECCIÓN X-X

Factores:f´mh = 650 ton/m2t = 2.8 m

Ahora: = 0.23 m0,2f`m

(h/35*t)2 = 130= 0.34782609

ahora el resultado es=

(∑L*t)/Ap ≥ZUSN/56

(∑L*t)/Ap ≥ZUSN/56

0.2*f´m*[1- (h/35t)2]≤0.15f´m

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Pero 84.78260870,15f´m Cumple la relación

= 97.5

b)EN MUEROS EN LA DIRECCIÓN Y-Y

Factores:f´mh = 650 ton/m2t = 2.8 m

Ahora: = 0.13 m0,2f`m

(h/35*t)2 = 130= 0.61538462

ahora el resultado es=Pero 50

0,15f´m Cumple la relación= 97.5

5.5. CALCULO DE LA FUERZA PROMEDIO LA CUAL GENERA EL ESFUERZO AXIAL MÁXIMO EN LOS MUROS EN DIRECCIÓN X-X

MURO L(m) t(espesor) 1,5*f´m1X 1.34 0.23 9752X 3.5 0.23 9753X 1.2 0.23 9754X 2.95 0.23 9755X 2.95 0.23 9756X 4.3 0.23 9757X 2.5 0.23 9758X 1.75 0.23 9759x 2 0.23 975

10x 1.8 0.23 9755.6. CÁLCULO DE LA FUERZA PROMEDIO LA CUAL GENERAL E ESFUERZO AXIAL MÁXIMO EN LOS MUROS EN DIRECCIÓN X-X

MURO L(m) t(espesor) 1,5*f´m1Y 4.65 0.13 9752Y 4 0.13 9753Y 5.22 0.13 9754Y 1.5 0.13 9755Y 1.7 0.13 975

0.2*f´m*[1- (h/35t)2]≤0.15f´m

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6Y 3.15 0.13 9757Y 3.5 0.13 9758Y 2.6 0.13 9759Y 3.15 0.13 975

10 Y 2.9 0.13 97511Y 2 0.13 97512Y 3.5 0.13 975

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UBICACIÓN DE LA VIVIENDA: PASAJE CORICANCHA LOTE 1 Mz. E Nº 205- LA VICTORIA-CHICLAYO

AZOTEA: UTILIZABLE CON PARTE EN ELLA CONSTRUIDA PARA HABITACIÓN DEL ENCRGADO DEL SERVICIO DOMÉSTICO

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t*L= 0.3082 m2= 0.805 m2= 0.276 m2= 0.6785 m2= 0.6785 m2= 0.989 m2= 0.575 m2= 0.4025 m2= 0.46 m2= 0.621 m2= 5.7937 m2

t*L= 0.6045 m2= 0.52 m2= 0.6786 m2= 0.195 m2= 0.221 m2= 0.4095 m2= 0.455 m2= 0.338 m2

Parte de las esclares son muros portantes para aporvechar la continuidad del muro en la edificación

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= 0.4095 m2= 0.403 m2= 0.26 m3= 0.455 m2= 4.9491 m2

La vivienda está ubicada en la zona sísmica 3 (Norma E.0.30)

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Si cumple cuando cambiamos el espsor de t=013 m (CON ESTE VALOR NO CUMPLE LA RELACIÓN) a t=0,23 m(Muro con U.A. de cabeza)

La vivienda está ubicada en la zona sísmica 3 (Norma E.0.30)

SI CUMPLE, entonces lo asumido es correctodel muro t= 0.13(muro de soga)

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ton/m284.7826087 ≤ 97.5

ton/m250 ≤ 97.5

5.5. CALCULO DE LA FUERZA PROMEDIO LA CUAL GENERA EL ESFUERZO AXIAL MÁXIMO EN LOS MUROS EN DIRECCIÓN X-X

σ(ton/m2) Pm975 300.495 SI CUMPLE975 784.875 SI CUMPLE975 269.1 SI CUMPLE975 661.5375 SI CUMPLE975 661.5375 SI CUMPLE975 964.275 SI CUMPLE975 560.625 SI CUMPLE975 392.4375 SI CUMPLE975 448.5 SI CUMPLE975 403.65 SI CUMPLE

5.6. CÁLCULO DE LA FUERZA PROMEDIO LA CUAL GENERAL E ESFUERZO AXIAL MÁXIMO EN LOS MUROS EN DIRECCIÓN X-X

σ(ton/m2) Pm975 589.3875 SI CUMPLE975 507 SI CUMPLE975 661.635 SI CUMPLE975 190.125 SI CUMPLE975 215.475 SI CUMPLE

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975 399.2625 SI CUMPLE975 443.625 SI CUMPLE975 329.55 SI CUMPLE975 399.2625 SI CUMPLE975 367.575 SI CUMPLE975 253.5 SI CUMPLE975 443.625 SI CUMPLE

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METRADO DE CARGASCARGAS DIRECTAS

1.1.ZONA DE PUERTAS(PISO TÍPCO Y AZOTEAS): 0.13 *

1,2, MUROS DE ALBAÑILERIA.DIRECCIÓN X-X: 2.6 *AZOTEA EN MUROS X-X: 1.2 *

1,3,MUROS DE ALBAÑILERIA.DIRECCIÓN Y-Y: 2.6 *AZOTEA EN MUROS Y-Y: 1.2 *

PISO TIPICO 1AZOTEA W 0.09

1,5,ZONA DE ALFEIZARES CON h= 1,80 m : PISO TÍPICO 1.8AZOTEA W 0.09

2, METRADO DE ESCALERAS

Datosγ 2.4 ton/m2t 0.12 mcp 0.15 mp 0.25 m

Entonces ob = 0.51586283 ton/m2 + 0.1(carga permanente)=

1,4,ZONA DE ALFEIZARES CON h= 1,00 m :

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cp/2 SOBRECARGA 0.2 ton/m2(cp/p)2

W1 0.12 * 2.4 + 0.2W2 0.38 * 2.4 + 0.2W3 0.12 * 2.4 + 0.2w4 0.38 2.4 + 0.2

PESOSW1L1 0.488 * 1 = 0.488W2L2 0.91586282914 * 2.04 = 1.868360171W3L3 0.488 * 1 = 0.488W4L4 0.91586282914 * 2.18 = 1.996580968

CARGAS DIRECTAS(ton/m)-RESUMEN-TABLA Nº 2ZONA PISO TIPICOPUERTAS 0.0085488MUROS:ALBAÑILERIA X-X 0.77864ALBAÑILERIA Y-Y 0.74984ALF.h=1m 0.3109488ALF.=1,80 m 0.5141488ESCALERA WD = 4.536360171

WL = 0.8

3º NIVEL AZOTEA

CARGAS INDIRECTAS-TABLA Nº 3-tonPSIO TIPICO AZOTEA

MURO PD=AIWD PL=AIWL AI(m2) PD=AIWD PL=AIWLX1 1.0279284 0.52986 3.0798 1.1949624 0.30798X2 0.5512316 0.28414 0.97 0.37636 0.097X3 0.9656156 0.49774 2.4887 0.9656156 0.24887X4 1.6644036 0.85794 4.2897 1.6644036 0.42897Y1 1.0705308 0.55182 2.7591 1.0705308 0.27591

Y12 0.8974828 0.46262 2.3131 0.8974828 0.23131

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CRAGAS POR NIVEL Y CENTRO DE GRAVEDAD

a) AZOTEAMURO X1 = 0.37636 + 0.25 *MUROX2 = 0.37636 + 0.25 *MURO X3 = 0.37636 * 0.25 *MURO X4 = 0.9656156 * 0.25 *MURO Y1 = 1.0705308 * 0.25 *MURO Y12 = 0.37636 * 0.25 *b) PISO TÍPICO

MURO X1 = 1.0279284 + 0.25 *MUROX2 = 0.5512316 + 0.25 *MURO X3 = 0.9656156 * 0.25 *MURO X4 = 1.6644036 * 0.25 *MURO Y1 = 1.0705308 * 0.25 *

MURO Y12 = 0.8974828 + 0.25 *TABLA Nº 4: CARGAS EN EL NIVEL DE LA AZOTEA

PUERTA ALF. H=1 ALF.h=1.8 ESCAL. P(ton)0.09 0.3109488 0.5141488 0 Directa

MURO LONGITUD DE INFLUENCIAX1 --- 0.5 --- --- 1.198852X2 --- 0.5 --- --- 2.8807144X3 0.45 0.4 --- --- 1.09924752X4 0.45 --- --- --- 2.337488Y1 --- 0.65 0.4 --- 2.70476424

Y12 0 0 --- --- 1.09924752

Podemos concl 12.9425662 ton

TABLA Nº 4: CARGAS EN EL NIVEL DEL PISO TÍPICOPUERTA ALF. H=1 ALF.h=1.8 ESCAL. P(ton)

0.09 0.3109488 0.5141488 0 DirectaMURO LONGITUD DE INFLUENCIA

X1 --- 0.5 --- --- 1.198852X2 --- 0.5 --- --- 2.8807144X3 0.45 0.4 --- --- 1.09924752X4 0.45 --- --- --- 2.337488Y1 --- 0.65 0.4 --- 2.70476424

Y12 0 0 --- --- 1.09924752

Podemos concl 12.9425662 tonPodemos concl 25.8851323 ton

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CARGAS EN EL NIVEL DE LOS PISOS TÍPICOS2º NIVEL

CARGAS INDIRECTAS-TABLA Nº 3PSIO TIPICO AZOTEA

MURO PD=AIwD PL=AIwL AI(m2) PD=AIwD PD=AIwLX1 1.002204 0.5166 2.583 1.002204 0.2583X2 2.39784 1.236 6.18 2.39784 0.618X3 0.7316904 0.37716 1.8858 0.7316904 0.18858X4 1.9820592 1.02168 3.5335 1.370998 0.35335X5 1.3148544 0.67776 1.7061 0.6619668 0.17061X6 3.3988412 1.75198 8.7599 3.3988412 0.87599X7 0.7347168 0.37872 1.8936 0.7347168 0.18936X8 0.9601836 0.49494 2.4747 0.9601836 0.24747X9 3.543992 1.8268 9.134 3.543992 0.9134

X10 1.4591516 0.75214 3.7607 1.4591516 0.37607Y1 0.8255476 0.42554 2.1277 0.8255476 0.21277Y2 1.9174572 0.98838 4.9419 1.9174572 0.49419Y3 1.8090112 0.93248 4.6624 1.8090112 0.46624Y4 0.3618488 0.18652 0.9326 0.3618488 0.09326Y5 0.5549176 0.28604 1.4302 0.5549176 0.14302Y6 2.1112244 1.08826 5.4413 2.1112244 0.54413Y7 0.8974828 0.46262 2.3131 0.8974828 0.23131Y8 1.6589328 0.85512 1.3322 0.5168936 0.13322Y9 0.62856 0.324 1.1137 0.4321156 0.11137

Y10 2.7030796 1.39334 6.9667 2.7030796 0.69667Y11 3.543992 1.8268 9.134 3.543992 0.9134Y12 0.8974828 0.46262 2.3131 0.8974828 0.23131

MURO X1 = 1.002204 + 0.25 *MUROX2 = 2.39784 + 0.25 *MURO X3 = 0.7316904 * 0.25 *MURO X4 = 1.9820592 * 0.25 *MURO X5 = 1.3148544 + 0.25 *MURO X6 = 3.3988412 + 0.25 *MURO X7 = 0.7347168 * 0.25 *MURO X8 = 0.9601836 + 0.25 *MURO X9 = 3.543992 + 0.25 *

MURO X10 = 1.4591516 + 0.25 *MURO Y1 = 0.8255476 + 0.25 *MURO Y2 = 0.8255476 + 0.25 *MURO Y3 = 1.9174572 + 0.25 *MURO Y4 = 0.3618488 + 0.25 *

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MURO Y5 = 0.5549176 + 0.25 *MURO Y6 = 2.1112244 + 0.25 *MURO Y7 = 0.8974828 + 0.25 *MURO Y8 = 1.6589328 + 0.25 *MURO Y9 = 0.62856 + 0.25 *

MURO Y10 = 2.7030796 + 0.25 *MURO Y11 = 3.543992 + 0.25 *

MURO Y12 = 0.8974828 + 0.25 *TABLA Nº 4: CARGAS EN EL NIVEL DEL PISO TÍPICO

PUERTA ALF. H=1 ALF.h=1.8 ESCAL. P(ton)0.09 0.3109488 0.5141488 4.53636017 Directa

0.8MURO LONGITUD DE INFLUENCIA

X1 0.5 1.198852X2 1 3.0361888X3 0.5 1.0898424X4 0.45 2.337488X5 2.04 13.18316275X6 0.4 3.55381152X7 0.45 1.9871X8 0.575 2.18 13.48363517X9 0.575 1.85291556

X10 0.45 2.142828Y1 0.4 3.82633552Y2 0.5 3.15956Y3 4.0645008Y4 0.75 1.23546Y5 0.75 1.391188Y6 2.452716Y7 0.84 2.986436992Y8 2.024464Y9 0.4 2.65837552

Y10 0.45 2.454284Y11 1.85291556Y12 4.2

Podemos concl 85.972535 ton

1º NIVEL

CARGAS INDIRECTAS-TABLA Nº 3MURO PISO TIPICO AZOTEA

PD=AIwD PL=AIwL AI(m2) PD=AIwD PD=AIwLX1 1.085236 0.5594 2.797 1.085236 0.2797

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X2 0.4731272 0.24388 1.2194 0.4731272 0.12194X3 0.5906524 0.30446 1.5223 0.5906524 0.15223X4 1.1615944 0.59876 2.9938 1.1615944 0.29938X5 0.3184704 0.16416 0.8208 0.3184704 0.08208X6 1.9965316 1.02914 5.1457 1.9965316 0.51457X7 1.6337904 0.84216 4.2108 1.6337904 0.42108X8 0.4552016 0.23464 1.1732 0.4552016 0.11732X9 0.6027192 0.31068 1.5534 0.6027192 0.15534

X10 1.56461 0.8065 4.0325 1.56461 0.40325Y1 1.7868952 0.92108 4.6054 1.7868952 0.46054Y2 1.5036552 0.77508 3.8754 1.5036552 0.38754Y3 1.2571588 0.64802 3.2401 1.2571588 0.32401Y4 1.6438784 0.84736 4.2368 1.6438784 0.42368Y5 1.1377324 0.58646 2.9323 1.1377324 0.29323Y6 2.9376644 1.51426 7.5713 2.9376644 0.75713Y7 1.2558008 0.64732 3.2366 1.2558008 0.32366Y8 1.7817348 0.91842 4.5921 1.7817348 0.45921Y9 2.0144184 1.03836 5.1918 2.0144184 0.51918

Y10 3.448738 1.7777 8.8885 3.448738 0.88885Y11 0.6027192 0.31068 1.5534 0.6027192 0.15534Y12 1.2558008 0.64732 3.2366 1.2558008 0.32366

MURO X1 = 1.085236 + 0.25 *MURO X2 = 0.4731272 + 0.25 *MURO X3 = 0.5906524 + 0.25 *MURO X4 = 1.1615944 + 0.25 *MURO X5 = 0.3184704 + 0.25 *MURO X6 = 1.9965316 + 0.25 *MURO X7 = 1.6337904 + 0.25 *MURO X8 = 0.4552016 + 0.25 *MURO X9 = 0.6027192 + 0.25 *

MURO X10 = 1.56461 + 0.25 *MURO Y1 = 1.7868952 + 0.25 *MURO Y2 = 1.5036552 + 0.25 *MURO Y3 = 1.2571588 + 0.25 *MURO Y4 = 1.6438784 + 0.25 *MURO Y5 = 1.1377324 + 0.25 *MURO Y6 = 2.9376644 + 0.25 *MURO Y7 = 1.2558008 + 0.25 *MURO Y8 = 1.7817348 + 0.25 *MURO Y9 = 2.0144184 + 0.25 *

MURO Y10 = 3.448738 + 0.25 *MURO Y11 = 3.543992 + 0.25 *MURO Y12 = 1.2558008 + 0.25 *

TABLA Nº 4: CARGAS EN EL NIVEL DEL PISO TÍPICO

Page 23: DISEÑO DE MUROS DE VIVIENDA-1

PUERTA ALF. H=1 ALF.h=1.8 ESCAL. P(ton)0.09 0.3109488 0.5141488 4.53636017 Directa

0.8MURO LONGITUD DE INFLUENCIA

X1 0.5 1.198852X2 2.72524X3 0.5 1.0898424X4 0.45 2.337488X5 2.04 13.18316275X6 3.620676X7 0.45 1.9871X8 0.575 2.18 13.04763517X9 0.9 0.575 1.93391556

X10 1.25 1.790238Y1 0.825 0.4 4.08286828Y2 0.825 3.37109276Y3 0.4 4.27016032Y4 1.16796Y5 1.323688Y6 2.452716Y7 1.5 3.1916632Y8 0.45 2.064964Y9 1.5 0.4 2.79337552

Y10 2.258056Y11 1.93391556Y12 0 0 0 0 3.1916632

Podemos concluir que el peso del 1º nivel =

PESO TOTA DE LA VIVIENDA

CARGAS DE GRAVEDAD ACUMULADAS Pg=PD+0,25PLCARGA POR NIVEL CARGAS ACUM.

MURO L(m)AZOTEA P.TÍP. PISO 2 PISO 1

X1 1.34 1.728712 1.728712 2.330206 2.423938X2 3.5 3.1648544 3.1648544 5.7430288 3.2593372X3 1.2 1.59698752 1.59698752 1.9158228 1.7566098X4 2.95 3.195428 3.195428 4.5749672 3.6487724X5 2.95 14.6674571 13.54267315X6 4.65 7.39064772 5.8744926X7 2.5 2.8164968 3.8314304

Page 24: DISEÑO DE MUROS DE VIVIENDA-1

X8 1.75 14.5675538 13.56149677X9 2 5.85360756 2.61430476

X10 1.8 3.7900146 3.556473Y1 4.65 4.75826812 6.10003348Y2 4 4.2322026 5.06851796Y3 5.22 6.229053 5.68932412Y4 1.5 1.6439388 3.0236784Y5 1.7 2.0176156 2.6080354Y6 3.15 4.8360054 5.7689454Y7 3.5 3.99957479 4.609294Y8 2.6 3.8971768 4.0763038Y9 3.15 3.36793552 5.06738392

Y10 2.9 5.5056986 6.151219Y11 2 5.85360756 2.61430476Y12 3.5 5.2131378 4.609294

Peso total de la vivienda = 221.3135297

ANÁLISIS DE SISMO MODERADODatos:

Z = 0.4 (edificio ubicado en la zona sísmica 3)U = 1 (Vivienda de uso común)S = 1 (Vivienda sobre suelo de buena calidad, tipo S1 con Tp=0,4 sg)

Tp = 0.4 sg Periodo donde termina la plataforma plana del espectro sísmicoC = 2.5 * (Tp/P) ≤

Tp hm/60 = 0.135hm = 8.1 m

Para SISMO MODERADO R = 6

P = 221.31353 ton

H = 36.88558828

Para SISMO SEVERO R = 3

H = 73.77117656

Page 25: DISEÑO DE MUROS DE VIVIENDA-1

TABLAS DE INERCIA ANTE EL SIMO MODERADO(CON R=3)NIVEL hi Wi Wihi SIS. MODERADO

(m) (ton) (ton-m) Fi(ton) Hi(ton)3 2.72 109.455862 297.7199455 10.2014122 10.201412212 5.4 85.972535 464.2516892 15.9076438 26.109056031 8.1 38.8276985 314.5043577 10.7765323 36.88558828

TOTAL 1076.475992 36.8855883 73.77117656

TABLAS DE INERCIA ANTE EL SIMO SEVERO(CON R=6)NIVEL hi Wi Wihi SIS. MODERADO

(m) (ton) (ton-m) Fi(ton) Hi(ton)3 2.72 109.455862 297.7199455 20.4028244 20.402824422 5.4 85.972535 464.2516892 31.8152876 52.218112061 8.1 38.8276985 314.5043577 21.5530645 73.77117656

TOTAL 1076.475992 73.7711766 146.392113

Page 26: DISEÑO DE MUROS DE VIVIENDA-1

0.274 * 0.24 = 0.0085488 ton/m

0.274 + 0.23 * 0.12 * 2.4 +0.274 + 0.23 * 0.12 * 2.4 =0.274 + 0.13 * 0.12 * 2.4 =0.274 + 0.13 * 0.12 * 2.4 =

* 0.274 + 1.42 * 0.02 + 0.0085488ton/m DINTEL

* 0.274 + 0.62 * 0.02 + 0.0085488ton/m DINTEL

0.1(carga permanente)= 0.61586283

DINTEL

Page 27: DISEÑO DE MUROS DE VIVIENDA-1

= 0.488 ton/m2= 0.91586283 ton/m2= 0.488 ton/m2= 1.11586283 ton/m2

ton/mton/mton/mton/m

AZOTEA0.0085488 CARGAS INDIRECTAS

PISO TÍPICO WD = 0.388 ton/m20.39504 WL = 0.2 ton/m20.36624 AZOTEA WD = 0.388 ton/m2

0.09 WL = 0.1 ton/m20.09

WD = 4.53636017 ton/mWL = 0.8 ton/m

Page 28: DISEÑO DE MUROS DE VIVIENDA-1

0.52986 ton0.28414 ton0.49774 ton0.85794 ton0.55182 ton0.49774 ton

0.28414 = 1.0989634 ton0.28414 = 0.6222666 ton0.49774 = 1.0900506 ton0.85794 = 1.8788886 ton0.55182 = 1.2084858 ton0.46262 = 1.0131378 ton

CARGA Pi(ton) Xi(m) Yi(m) PiXi PiYiINDIR.

PD+0.25PL0.52986 1.728712 1.62 0 2.8005134 00.28414 3.1648544 5.05 0 15.982515 00.49774 1.59698752 8.3 0 13.254996 00.85794 3.195428 2.63 3.3 8.4039756 10.5449120.55182 3.25658424 8.75 2.78 28.495112 9.05330420.49774 1.59698752 4 2.35 6.3879501 3.7529207

12.9425662 5.81994802768 1.804212 75.325062 23.351137Xcg Ycg

CARGA Pi(ton) Xi(m) Yi(m) PiXi PiYiINDIR.

PD+0.25PL0.52986 1.728712 1.62 0 2.8005134 00.28414 3.1648544 5.05 0 15.982515 00.49774 1.59698752 8.3 0 13.254996 00.85794 3.195428 2.63 3.3 8.4039756 10.5449120.55182 3.25658424 8.75 2.78 28.495112 9.0533042

0.49774 1.59698752 4 2.35 6.3879501 3.752920712.9425662 5.81994802768 1.804212 75.325062 23.351137

Xcg Ycg

Page 29: DISEÑO DE MUROS DE VIVIENDA-1

CARGAS EN EL NIVEL DE LOS PISOS TÍPICOS

0.5166 = 1.131354 ton1.236 = 2.70684 ton

0.37716 = 0.8259804 ton1.02168 = 2.2374792 ton0.67776 = 1.4842944 ton1.75198 = 3.8368362 ton0.37872 = 0.8293968 ton0.49494 = 1.0839186 ton1.8268 = 4.000692 ton

0.75214 = 1.6471866 ton0.42554 = 0.9319326 ton0.98838 = 1.0726426 ton0.98838 = 2.1645522 ton0.18652 = 0.4084788 ton

Page 30: DISEÑO DE MUROS DE VIVIENDA-1

0.28604 = 0.6264276 ton1.08826 = 2.3832894 ton0.46262 = 1.0131378 ton0.85512 = 1.8727128 ton

0.324 = 0.70956 ton1.39334 = 3.0514146 ton1.8268 = 4.000692 ton

0.46262 = 1.0131378 ton

CARGA Pi(ton) Xi(m) Yi(m) PiXi PiYiINDIR.

PD+0.25PL

1.131354 2.330206 1.62 0 3.7749337 02.70684 5.7430288 5.05 0 29.002295 0

0.8259804 1.9158228 8.3 0 15.901329 02.2374792 4.5749672 2.63 3.3 12.032164 15.0973921.4842944 14.6674571 2.7 5.85 39.602134 85.8046243.8368362 7.39064772 6.85 11.05 50.625937 81.6666570.8293968 2.8164968 7.78 19.15 21.912345 53.9359141.0839186 14.5675538 3.17 4.32 46.179145 62.9318324.000692 5.85360756 5.65 16 33.072883 93.657721

1.6471866 3.7900146 2.05 7.6 7.7695299 28.8041110.9319326 4.75826812 9.15 2.18 43.538153 10.3730251.0726426 4.2322026 8.9 9.57 37.666603 40.5021792.1645522 6.229053 8.9 12.59 55.438572 78.4237770.4084788 1.6439388 1.15 12 1.8905296 19.7272660.6264276 2.0176156 1.15 15.15 2.3202579 30.5668762.3832894 4.8360054 4.4 17.58 21.278424 85.0169751.0131378 3.99957479 8.9 20.9 35.596216 83.5911131.8727128 3.8971768 5.9 21.43 22.993343 83.516499

0.70956 3.36793552 1.15 20.88 3.8731258 70.3224943.0514146 5.5056986 4.9 13.65 26.977923 75.1527864.000692 5.85360756 5.65 16 33.072883 93.657721

1.0131378 5.2131378 8.9 20.9 46.396926 108.9545885.972535 6.87330730177 13.97776 590.91565 1201.7035

Xcg Ycg

Page 31: DISEÑO DE MUROS DE VIVIENDA-1

0.5594 = 1.225086 ton0.24388 = 0.5340972 ton0.30446 = 0.6667674 ton0.59876 = 1.3112844 ton0.16416 = 0.3595104 ton1.02914 = 2.2538166 ton0.84216 = 1.8443304 ton0.23464 = 0.5138616 ton0.31068 = 0.6803892 ton0.8065 = 1.766235 ton

0.92108 = 2.0171652 ton0.77508 = 1.6974252 ton0.64802 = 1.4191638 ton0.84736 = 1.8557184 ton0.58646 = 1.2843474 ton1.51426 = 3.3162294 ton0.64732 = 1.4176308 ton0.91842 = 2.0113398 ton1.03836 = 2.2740084 ton1.7777 = 3.893163 ton1.8268 = 4.000692 ton

0.64732 = 1.4176308 ton

Page 32: DISEÑO DE MUROS DE VIVIENDA-1

CARGA Pi(ton) Xi(m) Yi(m) PiXi PiYiINDIR.

PD+0.25PL

1.225086 2.423938 1.62 0 3.9267796 00.5340972 3.2593372 5.05 0 16.459653 00.6667674 1.7566098 8.3 0 14.579861 01.3112844 3.6487724 2.63 3.3 9.5962714 12.0409490.3595104 13.5426731 2.7 5.85 36.565218 79.2246382.2538166 5.8744926 6.85 11.05 40.240274 64.9131431.8443304 3.8314304 7.78 19.15 29.808529 73.3718920.5138616 13.5614968 3.17 4.32 42.989945 58.5856660.6803892 2.61430476 5.65 16 14.770822 41.8288761.766235 3.556473 2.05 7.6 7.2907697 27.029195

2.0171652 6.10003348 9.15 2.18 55.815306 13.2980731.6974252 5.06851796 8.9 9.57 45.10981 48.5057171.4191638 5.68932412 8.9 12.59 50.634985 71.6285911.8557184 3.0236784 1.15 12 3.4772302 36.2841411.2843474 2.6080354 1.15 15.15 2.9992407 39.5117363.3162294 5.7689454 4.4 17.58 25.38336 101.418061.4176308 4.609294 8.9 20.9 41.022717 96.3342452.0113398 4.0763038 5.9 21.43 24.050192 87.355192.2740084 5.06738392 1.15 20.88 5.8274915 105.806983.893163 6.151219 4.9 13.65 30.140973 83.964139

0.6803892 2.61430476 5.65 16 14.770822 41.8288761.4176308 4.609294 8.9 20.9 41.022717 96.334245

109.455862 4.70929777427 10.77388 515.46025 1179.2643Xcg Ycg

109.4558623235 ton

CARGAS ACUMULADAESF. EN LA EDIFICACIÓN

AXIAL CARGA(ton/m2) MURO L(m) TOTAL

26.64363400389 (ton)19.04605565217 X1 1.34 6.48285624.87828855072 X2 3.5 12.1672221.53956610169 X3 1.2 5.269420141.57720014668 X4 2.95 11.41916812.40312325386 X5 2.95 28.2101311.56161252174 X6 4.65 13.26514

Page 33: DISEÑO DE MUROS DE VIVIENDA-1

69.88583986964 X7 2.5 6.647927218.40850504348 X8 1.75 28.12905117.74513913043 X9 2 8.467912317.9624509512 X10 1.8 7.3464876

17.88600107692 Y1 4.65 10.85830217.56318467433 Y2 4 9.300720623.93649846154 Y3 5.22 11.91837720.93054751131 Y4 1.5 4.667617225.89731575092 Y5 1.7 4.62565118.92059075165 Y6 3.15 10.60495123.59017928994 Y7 3.5 8.608868820.59907067155 Y8 2.6 7.973480630.92020583554 Y9 3.15 8.435319418.40850504348 Y10 2.9 11.65691821.5877621978 Y11 2 8.4679123

ton Y12 3.5 9.8224318

= 2.5(Vivienda sobre suelo de buena calidad, tipo S1 con Tp=0,4 sg)

Periodo donde termina la plataforma plana del espectro sísmico2.5

ton

ton

para Tp>T→ C

Page 34: DISEÑO DE MUROS DE VIVIENDA-1

SISMO SEVEROVei(ton)=2Hi

20.4028244208452.2181120605273.7711765631

147.5423531262

SISMO SEVEROVei(ton)=2Hi

40.80564884168104.436224121

147.5423531262292.7842260889

ton

Page 35: DISEÑO DE MUROS DE VIVIENDA-1

0.77864 ton/m0.39504 ton/m0.74984 ton/m0.36624 ton/m

= 0.3109488 ton/m

= 0.5141488 ton/m

Page 36: DISEÑO DE MUROS DE VIVIENDA-1

(1+0.93+0.9)

Page 37: DISEÑO DE MUROS DE VIVIENDA-1

CARGAS INDIRECTASPISO TÍPICO WD = 0.388 ton/m2

WL = 0.2 ton/m2AZOTEA WD = 0.388 ton/m2

WL = 0.1 ton/m2

Page 38: DISEÑO DE MUROS DE VIVIENDA-1

DISTRIBUCIÓN DE LA FUERZA CORTANTE DE PISO EN CADA MUROMUROS EN LA DIRECCIÓN X-X

1º NIVEL

DATOS GEOMÉTRICOS EN MUROS X-X

MURO h(muro) t L(longitud) X(m) YX1 2.6 0.23 1.34 1.62 0X2 2.6 0.23 3.5 5.05 0X3 2.6 0.23 1.2 8.3 0X4 2.6 0.23 2.95 2.63 3.3X5 2.6 0.23 2.95 2.7 5.85X6 2.6 0.23 4.3 6.85 11.05X7 2.6 0.23 2.5 7.78 19.15X8 2.6 0.23 1.75 3.17 4.32X9 2.6 0.23 2 5.65 16

X10 2.6 0.23 2.7 2.05 7.6Y1 2.6 4.3 0.13 9.15 2.18Y2 2.6 4 0.13 8.9 9.57Y3 2.6 5.22 0.13 8.9 12.59Y4 2.6 1.5 0.13 1.15 12Y5 2.6 1.7 0.13 1.15 15.15Y6 2.6 3.15 0.13 4.4 17.58Y7 2.6 3.5 0.13 8.9 20.9Y8 2.6 2.6 0.13 5.9 21.43Y9 2.6 3.15 0.13 1.15 20.88

Y10 2.6 3.1 0.13 4.9 13.65Y11 2.6 0.23 2 5.65 16Y12 2.6 3.5 0.13 8.9 20.9

A) CÁLCULO DE LA RIGIECES EN MUROS X-X

Donde:h= Altura entre piso = 2.6 mL= Longitud de muro

MURO 3(h/L) 4(h/l)3 3(h/L)+4(h/l)3 Kx/EmX1 5.82089552 29.2190196 35.0399151491 0.00656394X2 2.22857143 1.63974344 3.8683148688 0.05945741X3 6.5 40.6851852 47.1851851852 0.00487441X4 2.6440678 2.73850783 5.38257562847 0.04273047X5 2.6440678 2.73850783 5.38257562847 0.04273047X6 1.81395349 0.88424919 2.69820267398 0.08524193X7 3.12 4.499456 7.619456 0.03018588

Page 39: DISEÑO DE MUROS DE VIVIENDA-1

X8 4.45714286 13.1179475 17.575090379 0.0130867X9 3.9 8.788 12.688 0.01812736

X10 2.88888889 3.57181324 6.46070212874 0.03559985Y1 60 32000 32060 0.00013412Y2 60 32000 32060 0.00012477Y3 60 32000 32060 0.00016282Y4 60 32000 32060 4.67873E-05Y5 60 32000 32060 5.30256E-05Y6 60 32000 32060 9.82533E-05Y7 60 32000 32060 0.00010917Y8 60 32000 32060 8.10979E-05Y9 60 32000 32060 9.82533E-05

Y10 60 32000 32060 9.66937E-05Y11 3.9 8.788 12.688 0.01812736Y12 60 32000 32060 0.00010917

RIGIDEZ TOTAL DEL 1º NIVEL 0.35783996

2º NIVEL

DATOS GEOMÉTRICOS EN MUROS X-X

MURO h(muro) t L(longitud) X(m) YX1 2.6 0.23 1.34 1.62 0X2 2.6 0.23 3.5 5.05 0X3 2.6 0.23 1.2 8.3 0X4 2.6 0.23 2.95 2.63 3.3X5 2.6 0.23 2.95 2.7 5.85X6 2.6 0.23 4.65 6.85 11.05X7 2.6 0.23 2.5 7.78 19.15X8 2.6 0.23 1.75 3.17 4.32X9 2.6 0.23 2 5.65 16

X10 2.6 0.23 1.8 2.05 7.6Y1 2.6 4.3 0.13 9.15 2.18Y2 2.6 4 0.13 8.9 9.57Y3 2.6 5.22 0.13 8.9 12.59Y4 2.6 1.5 0.13 1.15 12Y5 2.6 1.7 0.13 1.15 15.15Y6 2.6 3.15 0.13 4.4 17.58Y7 2.6 3.5 0.13 8.9 20.9Y8 2.6 2.6 0.13 5.9 21.43Y9 2.6 3.15 0.13 1.15 20.88

Y10 2.6 3.1 0.13 4.9 13.65Y11 2.6 0.23 2 5.65 16Y12 2.6 3.5 0.13 8.9 20.9

Page 40: DISEÑO DE MUROS DE VIVIENDA-1

A) CÁLCULO DE LA RIGIECES EN MUROS X-Xm

Donde:h= Altura entre piso = 2.6L= Longitud de muro

MURO 3(h/L) 4(h/l)3 3(h/L)+4(h/l)3 Kx/EmX1 5.82089552 29.2190196 35.0399151491 0.00656394X2 2.22857143 1.63974344 3.8683148688 0.05945741X3 6.5 40.6851852 47.1851851852 0.00487441X4 2.6440678 2.73850783 5.38257562847 0.04273047X5 2.6440678 2.73850783 5.38257562847 0.04273047X6 1.81395349 0.88424919 2.69820267398 0.08524193X7 3.12 4.499456 7.619456 0.03018588X8 4.45714286 13.1179475 17.575090379 0.0130867X9 3.9 8.788 12.688 0.01812736

X10 2.88888889 3.57181324 6.46070212874 0.03559985Y1 60 32000 32060 0.00013412Y2 60 32000 32060 0.00012477Y3 60 32000 32060 0.00016282Y4 60 32000 32060 4.67873E-05Y5 60 32000 32060 5.30256E-05Y6 60 32000 32060 9.82533E-05Y7 60 32000 32060 0.00010917Y8 60 32000 32060 8.10979E-05Y9 60 32000 32060 9.82533E-05

Y10 60 32000 32060 9.66937E-05Y11 3.9 8.788 12.688 0.01812736Y12 60 32000 32060 0.00010917

RIGIDEZ DEL 2º NIVEL 0.35783996

3º NIVEL

DATOS GEOMÉTRICOS EN MUROS X-X

MURO h(muro) t L(longitud) X(m) YX1 2.6 0.23 1.34 1.62 0X2 2.6 0.23 3.5 5.05 0X3 2.6 0.23 1.2 8.3 0X4 2.6 0.23 2.95 2.63 3.3Y1 2.6 4.3 0.13 8.75 2.78

Y12 2.6 3.5 0.13 4.7 2.35

A) CÁLCULO DE LA RIGIDECES EN MUROS X-X

Page 41: DISEÑO DE MUROS DE VIVIENDA-1

Donde:h= Altura entre piso = 2.6 mL= Longitud de muro

MURO 3(h/L) 4(h/L)3 3(h/L)+4(h/l)3 Kx/EmX1 5.82089552 29.2190196 35.0399151491 0.00656394X2 2.22857143 1.63974344 3.8683148688 0.05945741X3 6.5 40.6851852 47.1851851852 0.00487441X4 2.6440678 2.73850783 5.38257562847 0.04273047Y1 60 32000 32060 0.00013412

Y12 60 32000 32060 0.00010917RIGIDEZ TOTAL -PISO TÍPICO 0.11386953

Page 42: DISEÑO DE MUROS DE VIVIENDA-1

DISTRIBUCIÓN DE LA FUERZA CORTANTE DE PISO EN CADA MUROMUROS EN LA DIRECCIÓN Y-Y

1º NIVEL

DATOS GEOMÉTRICOS EN MUROS Y-Y

MURO h(muro) t L(longitud) X(m) YX1 2.6 1.34 0.23 1.62 0X2 2.6 3.5 0.23 5.05 0X3 2.6 1.2 0.23 8.3 0X4 2.6 2.95 0.23 2.63 3.3X5 2.6 2.95 0.23 2.7 5.85X6 2.6 4.65 0.23 6.85 11.05X7 2.6 2.5 0.23 7.78 19.15X8 2.6 1.75 0.23 3.17 4.32X9 2.6 2 0.23 5.65 16

X10 2.6 1.8 0.23 2.05 7.6Y1 2.6 0.13 4.3 9.15 2.18Y2 2.6 0.13 4 8.9 9.57Y3 2.6 0.13 5.22 8.9 12.59Y4 2.6 0.13 1.5 1.15 12Y5 2.6 0.13 1.7 1.15 15.15Y6 2.6 0.13 3.15 4.4 17.58Y7 2.6 0.13 3.5 8.9 20.9Y8 2.6 0.13 2.6 5.9 21.43Y9 2.6 0.13 3.15 1.15 20.88

Y10 2.6 0.13 3.1 4.9 13.65Y11 2.6 2 0.23 5.65 16Y12 2.6 0.13 3.5 8.9 20.9

A) CÁLCULO DE LA RIGIECES EN MUROS Y-Y

Donde:h= Altura entre piso = 2.6L= Longitud de muro

MURO 3(h/L) 4(h/L)3 3(h/L)+4(h/L)3 Ky/EmX1 33.9130435 5778.25265 5812.16569 0.00023055X2 33.9130435 5778.25265 5812.16569 0.00060219X3 33.9130435 5778.25265 5812.16569 0.00020646X4 33.9130435 5778.25265 5812.16569 0.00050756X5 33.9130435 5778.25265 5812.16569 0.00050756X6 33.9130435 5778.25265 5812.16569 0.00080005

Page 43: DISEÑO DE MUROS DE VIVIENDA-1

X7 33.9130435 5778.25265 5812.16569 0.00043013X8 33.9130435 5778.25265 5812.16569 0.00030109X9 33.9130435 5778.25265 5812.16569 0.00034411

X10 33.9130435 5778.25265 5812.16569 0.0003097Y1 1.81395349 0.88424919 2.69820267 0.04818022Y2 1.95 1.0985 3.0485 0.04264392Y3 1.49425287 0.49427487 1.98852774 0.065375Y4 5.2 20.8308148 26.0308148 0.00499408Y5 4.58823529 14.3097904 18.8980256 0.00687903Y6 2.47619048 2.24930513 4.72549561 0.02751034Y7 2.22857143 1.63974344 3.86831487 0.03360636Y8 3 4 7 0.01857143Y9 2.47619048 2.24930513 4.72549561 0.02751034

Y10 2.51612903 2.35990735 4.87603639 0.026661Y11 33.9130435 5778.25265 5812.16569 0.00034411Y12 2.22857143 1.63974344 3.86831487 0.03360636

RIGIDEZ TOTAL DEL 1º NIVEL 0.306171112º NIVEL

DATOS GEOMÉTRICOS EN MUROS Y-Y

MURO h(muro) t(m) L(longitud) X(m) Y(m)X1 2.6 1.34 0.23 1.62 0X2 2.6 3.5 0.23 5.05 0X3 2.6 1.2 0.23 8.3 0X4 2.6 2.95 0.23 2.63 3.3X5 2.6 2.95 0.23 2.7 5.85X6 2.6 4.65 0.23 6.85 11.05X7 2.6 2.5 0.23 7.78 19.15X8 2.6 1.75 0.23 3.17 4.32X9 2.6 2 0.23 5.65 16

X10 2.6 1.8 0.23 2.05 7.6Y1 2.6 0.13 4.3 9.15 2.18Y2 2.6 0.13 4 8.9 9.57Y3 2.6 0.13 5.22 8.9 12.59Y4 2.6 0.13 1.5 1.15 12Y5 2.6 0.13 1.7 1.15 15.15Y6 2.6 0.13 3.15 4.4 17.58Y7 2.6 0.13 3.5 8.9 20.9Y8 2.6 0.13 2.6 5.9 21.43Y9 2.6 0.13 3.15 1.15 20.88

Y10 2.6 0.13 3.1 4.9 13.65Y11 2.6 2 0.23 5.65 16

Page 44: DISEÑO DE MUROS DE VIVIENDA-1

Y12 2.6 0.13 3.5 8.9 20.9

A) CÁLCULO DE LA RIGIECES EN MUROS Y-Y

Donde:h= Altura entre piso = 2.6 mL= Longitud de muro

MURO 3(h/L) 4(h/L)3 3(h/L)+4(h/l)3 Ky/EmX1 33.9130435 5778.25265 5812.16569 0.00023055X2 33.9130435 5778.25265 5812.16569 0.00060219X3 33.9130435 5778.25265 5812.16569 0.00020646X4 33.9130435 5778.25265 5812.16569 0.00050756X5 33.9130435 5778.25265 5812.16569 0.00050756X6 33.9130435 5778.25265 5812.16569 0.00080005X7 33.9130435 5778.25265 5812.16569 0.00043013X8 33.9130435 5778.25265 5812.16569 0.00030109X9 33.9130435 5778.25265 5812.16569 0.00034411

X10 33.9130435 5778.25265 5812.16569 0.0003097Y1 1.81395349 0.88424919 2.69820267 0.04818022Y2 1.95 1.0985 3.0485 0.04264392Y3 1.49425287 0.49427487 1.98852774 0.065375Y4 5.2 20.8308148 26.0308148 0.00499408Y5 4.58823529 14.3097904 18.8980256 0.00687903Y6 2.47619048 2.24930513 4.72549561 0.02751034Y7 2.22857143 1.63974344 3.86831487 0.03360636Y8 3 4 7 0.01857143Y9 2.47619048 2.24930513 4.72549561 0.02751034

Y10 2.51612903 2.35990735 4.87603639 0.026661Y11 33.9130435 5778.25265 5812.16569 0.00034411Y12 2.22857143 1.63974344 3.86831487 0.03360636

3º NIVEL RIGIDEZ TOTAL DEL 2º NIVEL 0.34012158

DATOS GEOMÉTRICOS EN MUROS Y-Y

MURO h(muro) t(m) L(longitud) X(m) Y(m)X1 2.6 1.34 0.23 1.62 0X2 2.6 3.5 0.23 5.05 0X3 2.6 1.2 0.23 8.3 0X4 2.6 2.95 0.23 2.63 3.3Y1 2.6 0.13 4.3 9.15 2.18

Y12 2.6 0.13 3.5 4.7 2.35

Page 45: DISEÑO DE MUROS DE VIVIENDA-1

A) CÁLCULO DE LA RIGIDECES EN MUROS Y-Y

2.6Donde:h= Altura entre piso =L= Longitud de muro

MURO 3(h/L) 4(h/L)3 3(h/L)+4(h/l)3 Ky/EmX1 33.9130435 5778.25265 5812.16569 0.00023055X2 33.9130435 5778.25265 5812.16569 0.00060219X3 33.9130435 5778.25265 5812.16569 0.00020646X4 33.9130435 5778.25265 5812.16569 0.00050756Y1 1.81395349 0.88424919 2.69820267 0.04818022

Y12 2.22857143 1.63974344 3.86831487 29.7562682RIGIDEZ TOTAL -PISO TÍPICO 0.04972698

Page 46: DISEÑO DE MUROS DE VIVIENDA-1

m

Page 47: DISEÑO DE MUROS DE VIVIENDA-1

m

Page 48: DISEÑO DE MUROS DE VIVIENDA-1

3º NIVEL

MURO VT % ABS. MURO 3(h/L) 4(h/L)3 3(h/L)+4(h/l)3 Ky/EmX1 3.3380578 0.70116589 X1 1.91897655 1.04690007 2.96587661 0.37037953X2 1.12732834 0.23679763 X2 2.25431033 1.69721683 3.95152716 0.12508452X3 297.442141 62.4783321 X3 0.59928973 0.03188649 0.63117622 33.0031679X4 164.161408 34.4824406 X4 0.7283674 0.05724634 0.78561375 18.2147912Y1 9.43955446 1.98279778 Y1 1.57201954 0.57553276 2.1475523 1.04738084

Y12 0.56398436 0.11846607 Y12 2.22857143 1.63974344 3.86831487 29.7562682

Page 49: DISEÑO DE MUROS DE VIVIENDA-1

3º NIVELDATOS: XCR = 8.99536025

YCR = 1.2409197

MURO Xi Yi Yi-YCR= Y Y2 (Ky/Em)Y2 Xi-XCR=X X2 (Kx/Em)X2 JX1 1.62 0 -1.2409197 1.53988169 0.00035502 -7.37536025 54.3959389 0.35705183 0.35740685X2 5.05 0 -1.2409197 1.53988169 0.00092729 -3.94536025 15.5658675 0.92550624 0.92643353X3 8.3 0 -1.2409197 1.53988169 0.00031793 -0.69536025 0.48352588 0.0023569 0.00267483X4 2.63 3.3 2.0590803 4.2398117 0.00215194 -6.36536025 40.5178112 1.73134522 1.73349716Y1 9.15 2.18 0.9390803 0.88187182 0.04248878 0.15463975 0.02391345 3.20736E-06 0.04249199

Y12 8.9 20.9 12.5723551 158.064113 5.3119602 2.57196377 6.61499763 0.00072216 5.31268237J 8.37518673

Page 50: DISEÑO DE MUROS DE VIVIENDA-1

CORTANTE DE DISEÑO

a) CALCULO DE LOS MOMENTOS TORSORES(Mtix;Mtiy) Y EXCENTRICIDAD

1º NIVEL

MURO Vx Vy ex ey eacc-x eacc-y dxX1 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X2 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X3 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X4 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X5 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X6 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X7 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X8 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15X9 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15

X10 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y1 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y2 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y3 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y4 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y5 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y6 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y7 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y8 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y9 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15

Y10 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15Y11 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.15

Y12 36.8855883 36.8855883 -2.78054965 1.70707347 0.4575 1.14 9.152º NIVEL

MURO Vx Vy ex ey eacc-x eacc-y dxX1 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X2 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X3 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X4 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X5 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X6 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X7 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X8 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15X9 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15

X10 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y1 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y2 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y3 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y4 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y5 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15

Page 51: DISEÑO DE MUROS DE VIVIENDA-1

Y6 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y7 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y8 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y9 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15

Y10 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y11 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15Y12 26.109056 26.109056 0.24814856 4.5252951 0.01240743 0.22626476 9.15

3º NIVEL

MURO Vx Vy ex ey eacc-x eacc-y dxX1 10.2014122 10.2014122 -1.95716581 1.06891125 -0.09785829 0.05344556 9.15X2 10.2014122 10.2014122 -1.95716581 1.06891125 -0.09785829 0.05344556 9.15X3 10.2014122 10.2014122 -1.95716581 1.06891125 -0.09785829 0.05344556 9.15X4 10.2014122 10.2014122 -1.95716581 1.06891125 -0.09785829 0.05344556 9.15Y1 10.2014122 10.2014122 -1.95716581 1.06891125 -0.09785829 0.05344556 9.15

Y12 10.2014122 10.2014122 -1.95716581 1.06891125 -0.09785829 0.05344556 9.15

Page 52: DISEÑO DE MUROS DE VIVIENDA-1

dy MTx1(+) MTx2(-) MTy1(+) MTy2(-)22.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.437366

22.8 105.01598 20.9168384 -85.6870528 -119.43736622.8 105.01598 20.9168384 -85.6870528 -119.437366

dy MTx1(+) MTx2(-) MTy1(+) MTy2(-)22.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.15497852

Page 53: DISEÑO DE MUROS DE VIVIENDA-1

22.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.15497852

22.8 124.058743 112.243624 6.802871 6.1549785222.8 124.058743 112.243624 6.802871 6.15497852

dy MTx1(+) MTx2(-) MTy1(+) MTy2(-)7.3 11.4496245 10.3591841 -20.964148 10.35918417.3 11.4496245 10.3591841 -20.964148 10.35918417.3 11.4496245 10.3591841 -20.964148 10.35918417.3 11.4496245 10.3591841 -20.964148 10.35918417.3 11.4496245 10.3591841 -20.964148 10.35918417.3 11.4496245 10.3591841 -20.964148 10.3591841

Page 54: DISEÑO DE MUROS DE VIVIENDA-1

CALCULO DE LA CORTANTE POR TORSIÓN

1º NIVEL

MURO Kx/Em Ky/Em Y=Yi-YCR X=Xi-XCR MTx1(+) MTx2(-) MTy1(+)X1 0.00656394 0.00023055 -8.34035083 -5.76764062 105.01598 20.9168384 -85.6870528X2 0.05945741 0.00060219 -8.34035083 -2.33764062 105.01598 20.9168384 -85.6870528X3 0.00487441 0.00020646 -8.34035083 0.91235938 105.01598 20.9168384 -85.6870528X4 0.04273047 0.00050756 -5.04035083 -4.75764062 105.01598 20.9168384 -85.6870528X5 0.04273047 0.00050756 -2.49035083 -4.68764062 105.01598 20.9168384 -85.6870528X6 0.08524193 0.00080005 2.70964917 -0.53764062 105.01598 20.9168384 -85.6870528X7 0.03018588 0.00043013 10.8096492 0.39235938 105.01598 20.9168384 -85.6870528X8 0.0130867 0.00030109 -4.02035083 -4.21764062 105.01598 20.9168384 -85.6870528X9 0.01812736 0.00034411 7.65964917 -1.73764062 105.01598 20.9168384 -85.6870528

X10 0.03559985 0.0003097 -0.74035083 -5.33764062 105.01598 20.9168384 -85.6870528Y1 0.00013412 0.04818022 -6.16035083 1.76235938 105.01598 20.9168384 -85.6870528Y2 0.00012477 0.04264392 1.22964917 1.51235938 105.01598 20.9168384 -85.6870528Y3 0.00016282 0.065375 4.24964917 1.51235938 105.01598 20.9168384 -85.6870528Y4 4.67873E-05 0.00499408 3.65964917 -6.23764062 105.01598 20.9168384 -85.6870528Y5 5.30256E-05 0.00687903 6.80964917 -6.23764062 105.01598 20.9168384 -85.6870528Y6 9.82533E-05 0.02751034 9.23964917 -2.98764062 105.01598 20.9168384 -85.6870528Y7 0.00010917 0.03360636 12.5596492 1.51235938 105.01598 20.9168384 -85.6870528Y8 8.10979E-05 0.01857143 13.0896492 -1.48764062 105.01598 20.9168384 -85.6870528Y9 9.82533E-05 0.02751034 12.5396492 -6.23764062 105.01598 20.9168384 -85.6870528

Y10 9.66937E-05 0.026661 5.30964917 -2.48764062 105.01598 20.9168384 -85.6870528Y11 0.01812736 0.00034411 7.65964917 -1.73764062 105.01598 20.9168384 -85.6870528Y12 0.00010917 0.03360636 12.5596492 1.51235938 105.01598 20.9168384 -85.6870528

2º NIVEL

MURO Kx/Em Ky/Em Y=Yi-YCR X=Xi-XCR MTx1(+) MTx2(-) MTy1(+)X1 0.00656394 0.00023055 -8.32764491 -4.70803623 124.058743 112.243624 6.802871X2 0.05945741 0.00060219 -8.32764491 -1.27803623 124.058743 112.243624 6.802871X3 0.00487441 0.00020646 -8.32764491 1.97196377 124.058743 112.243624 6.802871X4 0.04273047 0.00050756 -5.02764491 -3.69803623 124.058743 112.243624 6.802871X5 0.04273047 0.00050756 -2.47764491 -3.62803623 124.058743 112.243624 6.802871X6 0.08524193 0.00080005 2.72235509 0.52196377 124.058743 112.243624 6.802871X7 0.03018588 0.00043013 10.8223551 1.45196377 124.058743 112.243624 6.802871X8 0.0130867 0.00030109 -4.00764491 -3.15803623 124.058743 112.243624 6.802871X9 0.01812736 0.00034411 7.67235509 -0.67803623 124.058743 112.243624 6.802871

X10 0.03559985 0.0003097 -0.72764491 -4.27803623 124.058743 112.243624 6.802871Y1 0.00013412 0.04818022 -6.14764491 2.82196377 124.058743 112.243624 6.802871Y2 0.00012477 0.04264392 1.24235509 2.57196377 124.058743 112.243624 6.802871Y3 0.00016282 0.065375 4.26235509 2.57196377 124.058743 112.243624 6.802871Y4 4.67873E-05 0.00499408 3.67235509 -5.17803623 124.058743 112.243624 6.802871Y5 5.30256E-05 0.00687903 6.82235509 -5.17803623 124.058743 112.243624 6.802871Y6 9.82533E-05 0.02751034 9.25235509 -1.92803623 124.058743 112.243624 6.802871

Page 55: DISEÑO DE MUROS DE VIVIENDA-1

Y7 0.00010917 0.03360636 12.5723551 2.57196377 124.058743 112.243624 6.802871Y8 8.10979E-05 0.01857143 13.1023551 -0.42803623 124.058743 112.243624 6.802871Y9 9.82533E-05 0.02751034 12.5523551 -5.17803623 124.058743 112.243624 6.802871

Y10 9.66937E-05 0.026661 5.32235509 -1.42803623 124.058743 112.243624 6.802871Y11 0.01812736 0.00034411 7.67235509 -0.67803623 124.058743 112.243624 6.802871Y12 0.00010917 0.03360636 12.5723551 2.57196377 124.058743 112.243624 6.802871

3º NIVEL

MURO Kx/Em Ky/Em Y=Yi-YCR X=Xi-XCR MTx1(+) MTx2(-) MTy1(+)X1 0.00656394 0.37037953 -1.2409197 -7.37536025 11.4496245 10.3591841 -20.964148X2 0.05945741 0.12508452 -1.2409197 -3.94536025 11.4496245 10.3591841 -20.964148X3 0.00487441 33.0031679 -1.2409197 -0.69536025 11.4496245 10.3591841 -20.964148X4 0.04273047 18.2147912 2.0590803 -6.36536025 11.4496245 10.3591841 -20.964148Y1 0.00013412 1.04738084 0.9390803 0.15463975 11.4496245 10.3591841 -20.964148

Y12 0.00013412 0.04818022 -6.22976028 2.8674689 121.64299 110.057943 8.12541235

Page 56: DISEÑO DE MUROS DE VIVIENDA-1

DIRECCIÓM -X DIRECCIÓN-YMTy2(-) J ∆Vxi ∆Vx2 ∆Vyi ∆Vy2

-119.437366 28.7100299 -0.20024923 -0.03988518 0.00396868441 0.005531865-119.437366 28.7100299 -1.81389474 -0.36128733 0.00420135485 0.0058561794-119.437366 28.7100299 -0.14870591 -0.0296189 -0.0005621999 -0.0007836385-119.437366 28.7100299 -0.78780767 -0.1569137 0.00720704484 0.010045747-119.437366 28.7100299 -0.38924225 -0.07752837 0.00710100633 0.0098979422-119.437366 28.7100299 0.84486647 0.16827854 0.00128377408 0.0017894255-119.437366 28.7100299 1.19354065 0.23772665 -0.00050369498 -0.0007020898-119.437366 28.7100299 -0.19244914 -0.03833157 0.00379010459 0.0052829464-119.437366 28.7100299 0.50788489 0.10115933 0.00178456977 0.002487474-119.437366 28.7100299 -0.09640675 -0.01920207 0.00493361674 0.0068768638-119.437366 28.7100299 -0.00302226 -0.00060197 -0.25342229496 -0.3532399636-119.437366 28.7100299 0.00056118 0.00011177 -0.19248359368 -0.2682988-119.437366 28.7100299 0.00253094 0.00050411 -0.2950857682 -0.4113137955-119.437366 28.7100299 0.00062631 0.00012475 0.09297314038 0.129593289-119.437366 28.7100299 0.00132078 0.00026307 0.12806452088 0.1785064203-119.437366 28.7100299 0.00332066 0.0006614 0.24530472043 0.3419250486-119.437366 28.7100299 0.00501538 0.00099895 -0.15169040144 -0.2114380342-119.437366 28.7100299 0.00388293 0.00077339 0.08245650105 0.1149343685-119.437366 28.7100299 0.00450665 0.00089762 0.51215085175 0.713876213-119.437366 28.7100299 0.00187796 0.00037405 0.197945492 0.2759120242-119.437366 28.7100299 0.50788489 0.10115933 0.00178456977 0.002487474-119.437366 28.7100299 0.00501538 0.00099895 -0.15169040144 -0.2114380342

DIRECCIÓM -X DIRECCIÓN-YMTy2(-) J ∆Vxi ∆Vx2 ∆Vyi ∆Vy2

6.15497852 27.2130226 -0.249194 -0.22546124 -0.00027134515 -0.00447704556.15497852 27.2130226 -2.25724557 -2.0422698 -0.00019239274 -0.00317437426.15497852 27.2130226 -0.1850525 -0.16742845 0.00010177887 0.00167929546.15497852 27.2130226 -0.97938373 -0.88610909 -0.00046921366 -0.00774176696.15497852 27.2130226 -0.48264449 -0.43667835 -0.00046033193 -0.00759522326.15497852 27.2130226 1.05790978 0.95715647 0.00010439286 0.00172242466.15497852 27.2130226 1.48927961 1.34744345 0.00015612529 0.00257598136.15497852 27.2130226 -0.23909478 -0.21632385 -0.00023770188 -0.00392195016.15497852 27.2130226 0.63403605 0.57365167 -5.8325754E-05 -0.00096234286.15497852 27.2130226 -0.11809138 -0.10684458 -0.00033120313 -0.00546466926.15497852 27.2130226 -0.00375893 -0.00340094 0.0339887874 0.56079626976.15497852 27.2130226 0.00070663 0.00063933 0.02741810609 0.45238364766.15497852 27.2130226 0.00316379 0.00286247 0.04203315589 0.69352391876.15497852 27.2130226 0.00078329 0.00070869 -0.00646451768 -0.10666098086.15497852 27.2130226 0.00164919 0.00149212 -0.00890445731 -0.14691864076.15497852 27.2130226 0.00414429 0.00374959 -0.01325948426 -0.2187741865

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6.15497852 27.2130226 0.00625708 0.00566117 0.02160736632 0.35650964226.15497852 27.2130226 0.00484406 0.00438272 -0.00198719871 -0.0327876846.15497852 27.2130226 0.00562241 0.00508695 -0.0356103733 -0.58755154396.15497852 27.2130226 0.00234613 0.00212269 -0.00951767988 -0.15703647526.15497852 27.2130226 0.63403605 0.57365167 -5.8325754E-05 -0.00096234286.15497852 27.2130226 0.00625708 0.00566117 0.02160736632 0.3565096422

DIRECCIÓM -X DIRECCIÓN-YMTy2(-) J ∆Vxi ∆Vx2 ∆Vyi ∆Vy2

10.3591841 8.37518673 -0.01113538 -0.01007487 6.83774559114 -3.378790563610.3591841 8.37518673 -0.10086638 -0.09126006 1.23530141166 -0.610409483310.3591841 8.37518673 -0.00826918 -0.00748164 57.444467642 -28.38549966710.3591841 8.37518673 0.12028396 0.10882835 290.221714617 -143.4096044710.3591841 8.37518673 0.00017219 0.00015579 -0.40542308408 0.20033498947.35156355 26.7586263 -0.00379839 -0.00343664 0.04195165476 0.5682312034

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CORTANTES DE DISEÑO

1º NIVELA. MUROS EN LA DIRECCIÓN X-X B. MUROS EN LA DIRECCIÓN Y-Y

MUROS V.TRASL. ∆Vxi ∆Vx2 V.DISEÑO MUROSX1 0.61889835 -0.20024923 -0.03988518 0.61889835 X1X2 5.60609628 -1.81389474 -0.36128733 5.60609628 X2X3 0.45959649 -0.14870591 -0.0296189 0.45959649 X3X4 4.02895325 -0.78780767 -0.1569137 4.02895325 X4X5 4.02895325 -0.38924225 -0.07752837 4.02895325 X5X6 8.03725598 0.84486647 0.16827854 8.88212245 X6X7 2.84615405 1.19354065 0.23772665 4.0396947 X7X8 1.23391374 -0.19244914 -0.03833157 1.23391374 X8X9 1.7091855 0.50788489 0.10115933 2.21707038 X9

X10 3.35662365 -0.09640675 -0.01920207 3.26021691 X10Y1 0.01264618 -0.00302226 -0.00060197 0.01264618 Y1Y2 0.01176389 0.00056118 0.00011177 0.01232507 Y2Y3 0.01535188 0.00253094 0.00050411 0.01788282 Y3Y4 0.00441146 0.00062631 0.00012475 0.00453621 Y4Y5 0.00499965 0.00132078 0.00026307 0.00632044 Y5Y6 0.00926406 0.00332066 0.0006614 0.01258472 Y6Y7 0.0102934 0.00501538 0.00099895 0.01530878 Y7Y8 0.00764653 0.00388293 0.00077339 0.01152946 Y8Y9 0.00926406 0.00450665 0.00089762 0.01377072 Y9

Y10 0.00911702 0.00187796 0.00037405 0.01099497 Y10Y11 1.7091855 0.50788489 0.10115933 2.21707038 Y11Y12 0.00030508 0.00099895 -0.1516904 0.00130403 Y12

2º NIVELA. MUROS EN LA DIRECCIÓN X-X B. MUROS EN LA DIRECCIÓN Y-Y

MUROS V.TRASL. ∆Vxi ∆Vx2 V.DISEÑO MUROSX1 0.42306023 -0.249194 -0.22546124 0.42306023 X1X2 3.83215818 -2.25724557 -2.0422698 3.83215818 X2X3 0.31416629 -0.1850525 -0.16742845 0.31416629 X3X4 2.75407082 -0.97938373 -0.88610909 2.75407082 X4X5 2.75407082 -0.48264449 -0.43667835 2.75407082 X5X6 5.49402556 1.05790978 0.95715647 6.55193534 X6X7 1.94554499 1.48927961 1.34744345 3.4348246 X7X8 0.84346619 -0.23909478 -0.21632385 0.84346619 X8X9 1.16834761 0.63403605 0.57365167 1.80238366 X9

X10 2.2944866 -0.11809138 -0.10684458 2.2944866 X10Y1 0.00864455 -0.00375893 -0.00340094 0.00864455 Y1Y2 0.00804144 0.00070663 0.00063933 0.00874807 Y2

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Y3 0.01049408 0.00316379 0.00286247 0.01365787 Y3Y4 0.00301554 0.00078329 0.00070869 0.00379883 Y4Y5 0.00341761 0.00164919 0.00149212 0.0050668 Y5Y6 0.00633263 0.00414429 0.00374959 0.01047692 Y6Y7 0.00703626 0.00625708 0.00566117 0.01329334 Y7Y8 0.00522694 0.00484406 0.00438272 0.010071 Y8Y9 0.00633263 0.00562241 0.00508695 0.01195505 Y9

Y10 0.00623212 0.00234613 0.00212269 0.00857825 Y10Y11 1.16834761 0.63403605 0.57365167 1.80238366 Y11Y12 0.00030508 0.00625708 0.00566117 0.00656216 Y12

3º NIVEL

MUROS V.TRASL. ∆Vxi ∆Vx2 V.DISEÑO MUROSX1 0.5441376 -0.01113538 -0.01007487 0.5441376 X1X2 4.92889956 -0.10086638 -0.09126006 4.92889956 X2X3 0.40407885 -0.00826918 -0.00748164 0.40407885 X3X4 3.54226987 0.12028396 0.10882835 3.65109822 X4Y1 0.01111857 0.00017219 0.00015579 0.01129076 Y1

Y12 0.00095873 -0.00379839 -0.00343664 0.00095873 Y12

Page 60: DISEÑO DE MUROS DE VIVIENDA-1

B. MUROS EN LA DIRECCIÓN Y-Y

V.TRASL. ∆Vyi ∆Vy2 V.DISEÑO0.02540657 0.00396868 0.00553187 0.030938430.06636043 0.00420135 0.00585618 0.072216610.02275215 -0.0005622 -0.00078364 0.022752150.05593237 0.00720704 0.01004575 0.065978110.05593237 0.00710101 0.00989794 0.065830310.08816458 0.00128377 0.00178943 0.0899540.04740031 -0.00050369 -0.00070209 0.047400310.03318022 0.0037901 0.00528295 0.038463160.03792025 0.00178457 0.00248747 0.040407720.03412822 0.00493362 0.00687686 0.041005095.30943062 -0.25342229 -0.35323996 5.309430624.69933406 -0.19248359 -0.2682988 4.699334067.20428467 -0.29508577 -0.4113138 7.204284670.55034466 0.09297314 0.12959329 0.679937950.75806437 0.12806452 0.17850642 0.936570793.03162273 0.24530472 0.34192505 3.373547783.70340067 -0.1516904 -0.21143803 3.703400672.04655999 0.0824565 0.11493437 2.161494353.03162273 0.51215085 0.71387621 3.745498942.93802563 0.19794549 0.27591202 3.213937660.03792025 0.00178457 0.00248747 0.040407720.10976334 0.02160737 0.35650964 0.46627299

B. MUROS EN LA DIRECCIÓN Y-Y

V.TRASL. ∆Vyi ∆Vy2 V.DISEÑO0.19944201 -0.00027135 -0.00447705 0.199442010.52093063 -0.00019239 -0.00317437 0.520930630.17860479 0.00010178 0.0016793 0.180284080.4390701 -0.00046921 -0.00774177 0.43907010.4390701 -0.00046033 -0.00759522 0.4390701

0.69209355 0.00010439 0.00172242 0.693815970.37209331 0.00015613 0.00257598 0.374669290.26046531 -0.0002377 -0.00392195 0.260465310.29767464 -5.8326E-05 -0.00096234 0.297674640.26790718 -0.0003312 -0.00546467 0.2679071841.6791275 0.03398879 0.56079627 42.239923736.8898584 0.02741811 0.45238365 37.342242

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56.5537664 0.04203316 0.69352392 57.24729034.32021564 -0.00646452 -0.10666098 4.320215645.95081917 -0.00890446 -0.14691864 5.9508191723.7982939 -0.01325948 -0.21877419 23.798293929.071763 0.02160737 0.35650964 29.0933704

16.0655333 -0.0019872 -0.03278768 16.065533323.7982939 -0.03561037 -0.58755154 23.798293923.063555 -0.00951768 -0.15703648 23.063555

0.29767464 -5.8326E-05 -0.00096234 0.297674640.00101171 0.02160737 0.35650964 0.35752136

V.TRASL. ∆Vyi ∆Vy2 V.DISEÑO3.3380578 6.83774559 -3.37879056 3.3380578

1.12732834 1.23530141 -0.61040948 2.36262975297.442141 57.4444676 -28.3854997 354.886609164.161408 290.221715 -143.409604 454.3831239.43955446 -0.40542308 0.20033499 9.639889450.56398436 -0.00379839 -0.00343664 0.56398436

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DISEÑO EN MUROS DE ALBAÑILERIA

A. CONTROL POR FISURACION PARA CADA MURO

1º NIVEL

MURO Ve(X-X) Ve(Y-Y) L MeX MeY α X α YX1 0.61889835 0.02540657 1.34 2.75310953 0.1130186575 0.30123167 0.30123167X2 5.60609628 0.06636043 3.5 24.9381779 0.2951979861 0.78679914 0.78679914X3 0.45959649 0.02275215 1.2 2.04447061 0.1012107381 0.26975971 0.26975971X4 4.02895325 0.05593237 2.95 17.9224094 0.2488097311 0.66315928 0.66315928X5 4.02895325 0.05593237 2.95 17.9224094 0.2488097311 0.66315928 0.66315928X6 8.03725598 0.08816458 4.3 35.752957 0.39219161 0.96663895 0.96663895X7 2.84615405 0.04740031 2.5 12.6608414 0.2108557043 0.56199939 0.56199939X8 1.23391374 0.03318022 1.75 5.48894613 0.147598993 0.39339957 0.39339957X9 1.7091855 0.03792025 2 7.60314662 0.1686845635 0.44959951 0.44959951

X10 3.35662365 0.03412822 2.7 14.9316162 0.1518161071 0.60695934 0.60695934Y1 0.01264618 5.30943062 4.65 0.05625532 23.618489356 1.04531886 1.04531886Y2 0.01176389 4.69933406 4 0.05233053 20.90453375 0.89919902 0.89919902Y3 0.01535188 7.20428467 5.22 0.06829135 32.047564586 1.17345472 1.17345472Y4 0.00441146 0.55034466 1.5 0.01962395 2.448155065 0.33719963 0.33719963Y5 0.00499965 0.75806437 1.7 0.02224048 3.3721761378 0.38215958 0.38215958Y6 0.00926406 3.03162273 3.15 0.0412103 13.48588094 0.70811923 0.70811923Y7 0.0102934 3.70340067 3.5 0.04578922 16.474220248 0.78679914 0.78679914Y8 0.00764653 2.04655999 2.6 0.03401485 9.103924448 0.58447936 0.58447936Y9 0.00926406 3.03162273 3.15 0.0412103 13.48588094 0.70811923 0.70811923

Y10 0.00911702 2.93802563 3.1 0.04055616 13.069523293 0.69687924 0.69687924Y11 1.7091855 0.03792025 2 7.60314662 0.1686845635 0.44959951 0.44959951Y12 0.0102934 3.70340067 3.5 0.04578922 16.474220248 0.78679914 0.78679914

MURO Ve(X-X) Ve(Y-Y) V´m(tn/m2) α X α Y t LX1 0.61889835 0.02540657 81 0.30123167 0.3012316716 0.23 1.34X2 5.60609628 0.06636043 81 0.78679914 0.7867991423 0.23 3.5X3 0.45959649 0.02275215 81 0.26975971 0.2697597059 0.23 1.2X4 4.02895325 0.05593237 81 0.66315928 0.6631592771 0.23 2.95X5 4.02895325 0.05593237 81 0.66315928 0.6631592771 0.23 2.95X6 8.03725598 0.08816458 81 0.96663895 0.9666389463 0.23 4.3X7 2.84615405 0.04740031 81 0.56199939 0.5619993874 0.23 2.5X8 1.23391374 0.03318022 81 0.39339957 0.3933995712 0.23 1.75X9 1.7091855 0.03792025 81 0.44959951 0.4495995099 0.23 2

X10 3.35662365 0.03412822 81 0.60695934 0.6069593384 0.23 2.7Y1 0.01264618 5.30943062 81 1.04531886 1.0453188605 0.13 4.65Y2 0.01176389 4.69933406 81 0.89919902 0.8991990198 0.13 4

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Y3 0.01535188 7.20428467 81 1.17345472 1.1734547209 0.13 5.22Y4 0.00441146 0.55034466 81 0.33719963 0.3371996324 0.13 1.5Y5 0.00499965 0.75806437 81 0.38215958 0.3821595834 0.13 1.7Y6 0.00926406 3.03162273 81 0.70811923 0.7081192281 0.13 3.15Y7 0.0102934 3.70340067 81 0.78679914 0.7867991423 0.13 3.5Y8 0.00764653 2.04655999 81 0.58447936 0.5844793629 0.13 2.6Y9 0.00926406 3.03162273 81 0.70811923 0.7081192281 0.13 3.15

Y10 0.00911702 2.93802563 81 0.69687924 0.6968792404 0.13 3.1Y11 1.7091855 0.03792025 81 0.44959951 0.4495995099 0.23 2Y12 0.0102934 3.70340067 81 0.78679914 0.7867991423 0.13 3.5

2º NIVEL

MURO Ve(X-X) Ve(Y-Y) L MeX MeY α X α YX1 0.42306023 0.19944201 1.34 2.62474305 1.237374732 0.21598331 0.21598331X2 3.83215818 0.52093063 3.5 23.7754105 3.2319489269 0.56413552 0.56413552X3 0.31416629 0.17860479 1.2 1.94914513 1.1080967749 0.19341789 0.19341789X4 2.75407082 0.4390701 2.95 17.0867593 2.7240712384 0.47548566 0.47548566X5 2.75407082 0.4390701 2.95 17.0867593 2.7240712384 0.47548566 0.47548566X6 5.49402556 0.69209355 4.3 34.0859398 4.2938750028 0.69308079 0.69308079X7 1.94554499 0.37209331 2.5 12.0705171 2.3085349478 0.40295394 0.40295394X8 0.84346619 0.26046531 1.75 5.23301855 1.6159744634 0.28206776 0.28206776X9 1.16834761 0.29767464 2 7.24864233 1.8468279582 0.32236316 0.32236316

X10 2.2944866 0.26790718 1.8 14.2354147 1.6621451624 0.29012684 0.29012684Y1 0.00864455 41.6791275 4.65 0.05363236 258.5849326 0.74949434 0.74949434Y2 0.00804144 36.8898584 4 0.04989057 228.87143074 0.64472631 0.64472631Y3 0.01049408 56.5537664 5.22 0.0651072 350.86991398 0.84136784 0.84136784Y4 0.00301554 4.32021564 1.5 0.01870896 26.803408252 0.24177237 0.24177237Y5 0.00341761 5.95081917 1.7 0.02120349 36.919970883 0.27400868 0.27400868Y6 0.00633263 23.7982939 3.15 0.03928883 147.64896947 0.50772197 0.50772197Y7 0.00703626 29.071763 3.5 0.04365425 180.36653692 0.56413552 0.56413552Y8 0.00522694 16.0655333 2.6 0.03242887 99.673508086 0.4190721 0.4190721Y9 0.00633263 23.7982939 3.15 0.03928883 147.64896947 0.50772197 0.50772197

Y10 0.00623212 23.063555 3.1 0.03866519 143.09051476 0.49966289 0.49966289Y11 1.16834761 0.29767464 2 7.24864233 1.8468279582 0.32236316 0.32236316Y12 0.00030508 0.00101171 3.5 0.00189278 0.0062768597 0.56413552 0.56413552

MURO Ve(X-X) Ve(Y-Y) V´m(tn/m2) α X α Y t LX1 0.42306023 0.19944201 81 0.21598331 0.2159833145 0.23 1.34X2 3.83215818 0.52093063 81 0.56413552 0.5641355229 0.23 3.5X3 0.31416629 0.17860479 81 0.19341789 0.1934178936 0.23 1.2X4 2.75407082 0.4390701 81 0.47548566 0.475485655 0.23 2.95X5 2.75407082 0.4390701 81 0.47548566 0.475485655 0.23 2.95X6 5.49402556 0.69209355 81 0.69308079 0.6930807853 0.23 4.3X7 1.94554499 0.37209331 81 0.40295394 0.4029539449 0.23 2.5X8 0.84346619 0.26046531 81 0.28206776 0.2820677614 0.23 1.75X9 1.16834761 0.29767464 81 0.32236316 0.3223631559 0.23 2

X10 2.2944866 0.26790718 81 0.29012684 0.2901268403 0.23 1.8Y1 0.00864455 41.6791275 81 0.74949434 0.7494943376 0.13 4.65

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Y2 0.00804144 36.8898584 81 0.64472631 0.6447263119 0.13 4Y3 0.01049408 56.5537664 81 0.84136784 0.841367837 0.13 5.22Y4 0.00301554 4.32021564 81 0.24177237 0.241772367 0.13 1.5Y5 0.00341761 5.95081917 81 0.27400868 0.2740086825 0.13 1.7Y6 0.00633263 23.7982939 81 0.50772197 0.5077219706 0.13 3.15Y7 0.00703626 29.071763 81 0.56413552 0.5641355229 0.13 3.5Y8 0.00522694 16.0655333 81 0.4190721 0.4190721027 0.13 2.6Y9 0.00633263 23.7982939 81 0.50772197 0.5077219706 0.13 3.15

Y10 0.00623212 23.063555 81 0.49966289 0.4996628917 0.13 3.1Y11 1.16834761 0.29767464 81 0.32236316 0.3223631559 0.23 2Y12 0.00703626 29.071763 81 0.56413552 0.5641355229 0.13 3.5

3º NIVEL

MURO Ve(X-X) Ve(Y-Y) L MeX MeY α X α YX1 0.5441376 3.3380578 1.34 4.44016285 27.238551663 0.16421569 0.16421569X2 4.92889956 1.12732834 3.5 40.2198204 9.1989992706 0.42892157 0.42892157X3 0.40407885 297.442141 1.2 3.29728343 2427.1278746 0.14705882 0.14705882X4 3.54226987 164.161408 2.95 28.9049221 1339.55709 0.36151961 0.36151961Y1 0.01111857 9.43955446 4.65 0.09072752 77.026764358 0.56985294 0.56985294Y12 0.00030508 0.00101171 3.5 0.00189278 0.0062768597 0.56413552 0.56413552

MURO Ve(X-X) Ve(Y-Y) V´m(tn/m2) α X α Y t LX1 0.5441376 3.3380578 81 0.16421569 0.1642156863 0.23 1.34X2 4.92889956 1.12732834 81 0.42892157 0.4289215686 0.23 3.5X3 0.40407885 297.442141 81 0.14705882 0.1470588235 0.23 1.2X4 3.54226987 164.161408 81 0.36151961 0.3615196078 0.23 2.95Y1 0.01111857 9.43955446 81 0.56985294 0.5698529412 0.23 2.95

Y12 0.5441376 3.3380578 81 0.16421569 0.1642156863 0.23 1.34

COMPROBACIÓN COMPROBACIÓNVe(X-X) ≤ 0,55Vmx Ve(Y-Y) ≤ 0,55Vmy0.5441376 ≤ 2.07815774 3.3380578 ≤ 2.07815774

4.92889956 ≤ 9.43182341 1.12732834 ≤ 9.431823410.40407885 ≤ 1.78244608 297.442141 ≤ 1.782446083.54226987 ≤ 7.22134363 164.161408 ≤ 7.221343630.01111857 ≤ 10.4036436 9.43955446 ≤ 10.4036436

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NIVEL Hi(ton) h(m)3 10.2014122 8.162 26.109056 5.441 36.8855883 2.72

73.1960565 325.605589

COMPROBACIÓNPg VmX VmY 0.55vmX 0,55VmY Ve(X-X)

2.423938 13.0396057 6.18394185 7.17178316 7.171783157 0.618898347463.2593372 33.3521476 28.9109562 18.3436812 18.3436811558 5.60609627611.7566098 11.5820203 4.77198379 6.37011114 6.3701111397 0.45959649193.6487724 28.3184677 21.871892 15.5751572 15.5751572086 4.02895325168

13.5426731 30.5940648 31.7657927 16.8267357 16.826735653445 4.028953251685.8744926 41.4056333 44.5927323 22.7730983 22.7730983139 8.037255981513.8314304 24.168729 16.9189911 13.2928009 13.2928009456 2.84615405362

13.5614968 19.4203943 19.9744015 10.6812168 10.681216841881 1.233913744572.61430476 19.2312901 10.9903436 10.5772096 10.57720955214 1.70918549659

3.556473 25.9684888 18.8218038 14.2826688 14.2826688345 3.356623653076.10003348 25.8852577 31.6917912 14.2368917 14.23689173522 0.012646183245.06851796 22.2257591 24.0056493 12.2241675 12.22416752194 0.01176389139

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5.68932412 28.7918445 37.9397323 15.8355145 15.83551450118 0.015351878263.0236784 8.59294603 5.6867125 4.72612032 4.7261203176 0.004411459272.6080354 9.55034814 6.02855475 5.25269148 5.2526914781 0.004999653845.7689454 17.9116074 17.5129258 9.85138409 9.8513840931 0.009264064474.609294 19.4876376 19.1080352 10.7182007 10.718200691 0.01029340497

4.0763038 14.6265499 12.0772418 8.04460243 8.0446024307 0.00764652945.06738392 17.7502483 16.8113643 9.76263657 9.76263656588 0.00926406447

6.151219 17.7362804 17.5253335 9.7549542 9.7549542035 0.009117015832.61430476 19.2312901 10.9903436 10.5772096 10.57720955214 1.70918549659

4.609294 19.4876376 19.1080352 10.7182007 10.718200691 0.01029340497

NIVEL F(ton) h(m)3 10.2014122 8.162 26.109056 5.44

36.3104682 225.276788Me 6.20418296

Pg VmX VmY 0.55vmX 0,55VmY2.330206 3.23187271 5.02613133 1.77752999 2.764372231303

5.7430288 19.713125 24.1352572 10.8422188 13.2743914517521.9158228 2.60266446 4.07784801 1.43146545 2.24281640783044.5749672 14.1182316 17.6409564 7.7650274 9.7025260119403

14.6674571 16.4395043 27.7334463 9.04172738 15.2533954843097.39064772 29.4608533 35.151652 16.2034693 19.333408618352.8164968 10.0315843 12.2002868 5.51737134 6.7101577357917

14.5675538 7.94859446 19.1656109 4.37172696 10.5410859785095.85360756 7.35195533 11.8592332 4.04357543 6.52257823530673.7900146 5.73626009 8.65457133 3.15494305 4.7600142326184

4.75826812 19.4437094 23.1075759 10.6940402 12.709166726058

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4.2322026 14.5513427 17.8101387 8.0032385 9.79557630043246.229053 24.5562469 29.3526177 13.5059358 16.143939720968

1.6439388 2.28750319 3.55333607 1.25812676 1.95433483740462.0176156 2.9165663 4.47013031 1.60411147 2.45857167222194.8360054 9.53272319 13.2564474 5.24299776 7.2910460435541

3.99957479 11.3155096 14.3951821 6.22353025 7.91735017702483.8971768 6.63302868 9.63385481 3.64816577 5.2986201477577

3.36793552 9.19506712 11.7883775 5.05728692 6.48360760955415.5056986 9.42155856 13.6609465 5.18185721 7.51352056780355.85360756 7.35195533 11.8592332 4.04357543 6.52257823530673.99957479 11.3155096 14.3951821 6.22353025 7.9173501770248

NIVEL F(ton) h(m)3 10.2014122 8.16

83.243523637026Me 8.16

Pg VmX VmY 0.55vmX 0,55VmY1.728712 3.77846862 3.77846862 2.07815774 2.0781577397059

3.1648544 17.1487698 17.1487698 9.43182341 9.43182341264711.59698752 3.24081105 3.24081105 1.78244608 1.7824460771765

3.195428 13.1297157 13.1297157 7.22134363 7.22134362610293.25658424 18.9157157 18.9157157 10.4036436 10.403643620603

1.728712 3.77846862 3.77846862 2.07815774 2.0781577397059

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COMPROBACIÓN COMPROBACIÓN≤ 0,55Vmx Ve(Y-Y) ≤ 0,55Vmy≤ 7.17178316 0.02540657 ≤ 7.17178316≤ 18.3436812 0.06636043 ≤ 18.3436812≤ 6.37011114 0.02275215 ≤ 6.37011114≤ 15.5751572 0.05593237 ≤ 15.5751572≤ 16.8267357 0.05593237 ≤ 16.8267357≤ 22.7730983 0.08816458 ≤ 22.7730983≤ 13.2928009 0.04740031 ≤ 13.2928009≤ 10.6812168 0.03318022 ≤ 10.6812168≤ 10.5772096 0.03792025 ≤ 10.5772096≤ 14.2826688 0.03412822 ≤ 14.2826688≤ 14.2368917 5.30943062 ≤ 14.2368917≤ 12.2241675 4.69933406 ≤ 12.2241675

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≤ 15.8355145 7.20428467 ≤ 15.8355145≤ 4.72612032 0.55034466 ≤ 4.72612032≤ 5.25269148 0.75806437 ≤ 5.25269148≤ 9.85138409 3.03162273 ≤ 9.85138409≤ 10.7182007 3.70340067 ≤ 10.7182007≤ 8.04460243 2.04655999 ≤ 8.04460243≤ 9.76263657 3.03162273 ≤ 9.76263657≤ 9.7549542 2.93802563 ≤ 9.7549542≤ 10.5772096 0.03792025 ≤ 10.5772096≤ 10.7182007 3.70340067 ≤ 10.7182007

COMPROBACIÓN COMPROBACIÓNVe(X-X) ≤ 0,55Vmx Ve(Y-Y) ≤ 0,55Vmy

0.42306023 ≤ 1.77752999 0.19944201 ≤ 2.764372233.83215818 ≤ 10.8422188 0.52093063 ≤ 13.27439150.31416629 ≤ 1.43146545 0.17860479 ≤ 2.242816412.75407082 ≤ 7.7650274 0.4390701 ≤ 9.702526012.75407082 ≤ 9.04172738 0.4390701 ≤ 15.25339555.49402556 ≤ 16.2034693 0.69209355 ≤ 19.33340861.94554499 ≤ 5.51737134 0.37209331 ≤ 6.710157740.84346619 ≤ 4.37172696 0.26046531 ≤ 10.5410861.16834761 ≤ 4.04357543 0.29767464 ≤ 6.52257824

2.2944866 ≤ 3.15494305 0.26790718 ≤ 4.760014230.00864455 ≤ 10.6940402 41.6791275 ≤ 12.70916670.00804144 ≤ 8.0032385 36.8898584 ≤ 9.79557630.01049408 ≤ 13.5059358 56.5537664 ≤ 16.14393970.00301554 ≤ 1.25812676 4.32021564 ≤ 1.95433484

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0.00341761 ≤ 1.60411147 5.95081917 ≤ 2.458571670.00633263 ≤ 5.24299776 23.7982939 ≤ 7.291046040.00703626 ≤ 6.22353025 29.071763 ≤ 7.917350180.00522694 ≤ 3.64816577 16.0655333 ≤ 5.298620150.00633263 ≤ 5.05728692 23.7982939 ≤ 6.483607610.00623212 ≤ 5.18185721 23.063555 ≤ 7.513520571.16834761 ≤ 4.04357543 0.29767464 ≤ 6.52257824