Diseño de Cimentaciones de vivienda

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    FACULTAD DE INGENIERA DE ARQUITECTURA E.P. DE INGENIERA CIVIL CIMENTACIONES

    Tabla de contenidoPREDIMENCIONAMIENTO................................................................................

    Lo!a!...........................................................................................................

    Vi"a! P#inci$ale!.........................................................................................

    Vi"a! Sec%nda#ia!.......................................................................................

    Col%&na!....................................................................................................

    E!cale#a!.....................................................................................................

    METRADO DE CARGAS....................................................................................'

    Ideali(aci)n.................................................................................................'

    Met#ado de ca#"a!......................................................................................*

    Lo!a!...........................................................................................................*

    Ti$o I...........................................................................................................*

    Ti$o II.......................................................................................................... *

    Ti$o III......................................................................................................... +

    A(otea.........................................................................................................+

    P)#tico! $#inci$ale!....................................................................,$)#tico *-*/

    P)#tico! $#inci$ale!....................................................................,$)#tico '-'

    0P)#tico! $#inci$ale!....................................................................,$)#tico -

    12

    P)#tico! $#inci$ale!....................................................................,$)#tico 1-11'

    P)#tico! !ec%nda#io!..................................................................,$)#tico A-A1+

    P)#tico! !ec%nda#io!..................................................................,$)#tico 3-314

    P)#tico! !ec%nda#io!.................................................................,$)#tico C-C10

    P)#tico! !ec%nda#io!.................................................................,$)#tico D-D2

    METRADO DE CARGA DE SISMO...................................................................

    Pe!o Lo!a! 5 Ni6el......................................................................................

    Pe!o Vi"a! 5 Ni6el......................................................................................

    Pe!o M%#o 5 Ni6el.......................................................................................

    Pe!o Col%&na! 5 Ni6el...............................................................................Pe!o E!cale#a 5 Ni6el.................................................................................

    CARBAJAL ROBLES LESLY ING CIVIL-7mo-CICLO

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    FACULTAD DE INGENIERA DE ARQUITECTURA E.P. DE INGENIERA CIVIL CIMENTACIONES

    Pe!o Sob#eca#"a........................................................................................

    Re!%&en de Pe!o! $o# Ni6el.....................................................................'

    Facto# Co#tante.........................................................................................'Di!t#ib%ci)n en lo! Ni6ele!........................................................................*

    Di!t#ib%ci)n a cada P)#tico........................................................................+

    Di!t#ib%ci)n a cada $)#tico $o# ni6el........................................................./

    Calc%lo de ,Fii $)#tico! de Se"%ndo Ni6el................................................4

    Calc%lo de ,Fii $)#tico! de Te#ce# Ni6el.....................................................7

    An8li!i! de $)#tico!...................................................................................... '1

    ,P)#tico '-' co&binaci)n ,1.* CM 9 1.4 CV...........................................'1

    ,P)#tico '-' co&binaci)n ,1.+ CM 9 1.+ CV : CS..............................',P)#tico 3-3 co&binaci)n ,1.* CM 9 1.4 CV...........................................''

    ,P)#tico 3-3 co&binaci)n ,1.+ CM 9 1.+ CV : CS..............................'*

    CARBAJAL ROBLES LESLY ING CIVIL-7mo-CICLO

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    FACULTAD DE INGENIERA DE ARQUITECTURA E.P. DE INGENIERA CIVIL CIMENTACIONES

    PREDIMENCIONAMIENTO.

    Losas.h=

    L

    18@L

    25

    L=4.00

    h=0.20

    Vigas Princia!"s.

    hvp=L9@ L

    12

    L=4.25

    hvp=0.40

    bvp=1

    2. hvp@

    2

    3. hvp

    bvp=0.25

    Vigas S"c#n$arias.

    hvs=L

    14L=4.00

    hvs=0.30

    [email protected]

    bvs=0.20

    Co!#mnas.

    bd=P

    nf c

    Co!#mnas c"n%ra!"s. &C-'(

    Co!#mna )CAt=15.10m

    2

    Pe=AtPun pisos

    Pe=60400 kg

    bd=1.160400

    0.30210=1054.6

    Co&o la b ; + c&d=45cm

    Co!#mnas !a%"ra!"s. &C-*(

    Co!#mna *C

    At=11.60

    Pe=AtPun pisos

    Pe=11.6010004=46400 kg

    bd=1.2546400

    0.25210=1104.76

    Co&o la b ;+ c& d=50cm

    Co!#mnas !a%"ra!"s. &C-)(

    Co!#mna )D

    At=7.08m2

    Pe=AtPun pisos

    Pe=7.0810004=28312 kg

    bd=1.2528312

    0.25210=674.1

    Co&o la b ;2 c& d=35cm

    CARBAJAL ROBLES LESLY ING CIVIL-7mo-CICLO

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    FACULTAD DE INGENIERA DE ARQUITECTURA E.P. DE INGENIERA CIVIL CIMENTACIONES

    Co!#mnas Es+#inas. &C-,(

    Co!#mna *D

    At=5.55m2

    Pe=AtPun pisos=22200 kg

    bd=1.5022200

    0.20210=792.9

    Co&o la b ;2 c& d=40cm

    Esca!"ras.

    T=L

    25L=3.05

    T=3.05

    25=0.1

    CARBAJAL ROBLES LESLY ING CIVIL-7mo-CICLO

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    METRADO DE CARGAS.

    I$"a!iacin.Prticos secundarios (A, B, C, D)

    Prticos primarios (1, 2, 3, 4)

    Losas.

    P&C-C(/P&A-A(/ P&B-

    P&,-

    P&'-'(/ P&*-*(/

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    M"%ra$o $" cargas.

    Losas

    Tio ICarga muerta:

    P . Propio=Puancho=3001=300kg /m

    P . Acabados=100kg

    m21=1001=100kg /m

    P .Muro=PuAt=1800(0.152.5 )=675kg /m

    Carga viva

    Vivienda=200kg

    m21m=200

    kg

    m

    Tio II

    Carga muerta:

    P .Propio=Puancho=3001=300kg /m

    P . Acabados=100kg

    m21=1001=100kg /m

    Carga viva

    Vivienda=200kg

    m21m=200

    kg

    m

    corredor=200kg

    m21m=200

    kg

    m

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    Tio III

    Carga muerta:

    P .Propio=Pu

    ancho

    =3001=300kg/m

    P . Acabados=100kg

    m21=1001=100kg /m

    P .Muro=PuAt=1800(0.152.5 )=675kg /m

    P .Murovolado=PuAt=1800(0.151.2)=324kg /m

    Carga viva

    Vivienda=200kg

    m21m=200

    kg

    m

    corredor=200kg

    m21m=200

    kg

    m

    Ao%"a

    Carga muerta:

    P . Propio=Puancho=3001=300kg /m

    P . Acabados=100kg

    m21=1001=100kg /m

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    Carga viva

    Vivienda=200kg

    m21m=200

    kg

    m

    Met#ado de $)#tico!

    Pr%icos rincia!"s &r%ico ,-,(

    Tramo (A-B)

    (VPrinc) . propio=P!=2400

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(1.7750.025 )=525kg/m

    .acabado=100(1.7750.025 )=175 kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(1.7750.025 )=350kg /m

    Panta a!otea.

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(1.775 )=532.5 kg /m

    .acabado=100(1.775 )=177.5 kg/m

    .muro=1800(0.151.20 )=324kg /m

    .viva=150(1.775 )=266.25 kg/m

    Tramo (B-C)

    Ti oTi o

    Ti o

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    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(1.7750.175 )=487.5 kg /m

    .acabado=100(1.7750.175 )=162.5 kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(1.7750.175 )=320kg /m

    .muro=18001.775(0.152.40 )=1150.2 kg/m

    Panta a!otea.

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(1.775 )=532.5 kg /m

    .acabado=100(1.775 )=177.5 kg/m

    .muro=1800(0.151.20 )=324kg /m

    .viva=150(1.775 )=266.25 kg/m

    Tramo (C-D)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(1.7750.025 )=525kg/m

    .acabado=100(1.7750.025)=175 kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(1.7750.025 )=350kg /m

    Panta a!otea.

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(1.775 )=532.5 kg /m

    .acabado=100(1.775 )=177.5 kg/m

    .muro=1800(0.151.20 )=324kg /m

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    .viva=150(1.775 )=266.25 kg/m

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    Pr%icos rincia!"s &r%ico )-)(

    Tramo (A-B)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.7750.05 )=1117.5 kg/m

    .acabado=100(3.7750.05 )=372.5 kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(3.7750.05 )=745kg /m

    Panta a!otea

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.7750.025 )=1125kg /m

    .acabado=100(3.7750.025)=375kg/m

    .viva=150(3.7750.025 )=562.5 kg /m

    Tramo (B-C)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.7750.15 )=1087.5 kg/m

    .acabado=100(3.7750.15 )=362.5 kg/m

    .muro=1800(0.152.40 )=621kg/m

    .viva=200(3.7750.15 )=725kg /m

    .muro=18001.775(0.152.40 )=1150.2 kg/m

    Panta a!otea

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.775 )=1132.5 kg/m

    .acabado=100(3.775 )=377.5 kg /m

    .viva=150(3.775 )=566.25 kg/m

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    Tramo (C-D)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.7750.30 )=1042.5 kg /m

    .acabado=100(3.7750.30 )=347.5 kg/m

    .muro=1800(0.152.40 )=621kg/m

    .viva=200(3.7750.30 )=695kg/m

    .muro=18001.55(0.152.40 )=1004.4 kg/m

    .muro=18001.75(0.152.40 )=1134 kg /m

    Panta a!otea

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.7750.025 )=1132.5kg /m

    .acabado=100(3.7750.025)=377.5 kg/m

    .viva=150(3.7750.025 )=543.75 kg /m

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    Pr%icos rincia!"s &r%ico *-*(

    Tramo (A-B)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(2.000.05 )=585kg /m

    .acabado=100(2.000.05 )=195kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(2.000.05 )=390kg/m

    Panta a!otea.

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(2.000.025 )=592.5kg /m

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    .acabado=100(2.000.025 )=197.5 kg/m

    .muro=1800(0.152.40 )=621kg/m

    .viva=150(2.000.025)=296.25 kg /m

    Tramo (B-C)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.0750.275 )=840kg /m

    .acabado=100(3.0750.275)=280kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(3.0750.275 )=560kg /m

    .muro=18001.85(0.152.40 )=1198.8 kg/m

    .muro=18000.75(0.151.20 )=243kg/m

    Panta a!otea.

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(3.0750.15 )=877.5 kg /m

    .acabado=100(3.0750.15 )=292.5 kg/m

    .muro=1800(0.151.20 )=324kg /m

    .viva=150(3.0750.15 )=438.75 kg/m

    Tramo (C-D)

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(2.900.025 )=862.5kg /m

    .acabado=100(2.900.025 )=287.5 kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=200(2.900.025 )=575 kg/m

    Panta a!otea.

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    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(2.900.025 )=862.5kg /m

    .acabado=100(2.900.025 )=287.5 kg/m

    .muro=1800(0.151.20 )=324kg /m

    .viva=150(2.900.025)=431.25 kg /m

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    Pr%icos rincia!"s &r%ico '-'(

    Tramo (A-B)

    . propio=2400(0.400.25 )=240 kg/m

    .muro=1800(0.152.30 )=621kg/m

    .viva=150(1.075 )=161.25 kg/m

    Panta a!otea

    . propio=2400(0.400.25 )=240 kg/m

    .muro=1800

    (0.151.20

    )=324

    kg/m

    Tramo (B-B")

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(0.900.15 )=225kg /m

    .acabado=100(0.900.15 )=75kg /m

    .muro=1800(0.151.20 )=324kg /m

    .viva=200(0.900.15 )=150kg/m

    .muro=18001.25(0.18 )=405kg /m

    Panta a!otea.

    . propio=2400(0.400.25 )=240 kg/m

    .losa=300(0.900.15 )=225kg /m

    .acabado=100(0.900.15 )=75kg /m

    .muro=1800(0.151.20 )=324kg /m

    .viva=150(0.900.15 )=112.5kg /m

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    Pr%icos s"c#n$arios &r%ico A-A(

    Tramo (1-2)

    . propio=2400(0.300.20 )=144 kg/m

    .escalera=2400(0.3121 )=749.04 kg /m

    .viva=200(1 )=200kg/m

    .muro=1800(0.151.20 )=324kg /m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .escalera=2400(0.3121 )=749.04 kg /m

    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

    Tramo (2-3)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .muro=1800(0.152.40 )=648kg /m

    .viva=200(1 )=200kg/m

    .muro=18001.575(0.152.50 )=1063.125 kg /m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

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    Tramo (3-4)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .muro=1800(0.152.40 )=648kg /m

    .viva=200(1 )=200kg/m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

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    Pr%icos s"c#n$arios &r%ico B-B(

    Tramo (1-2)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .escalera=2400(0.3121 )=749.04 kg /m

    .viva=200(1 )=200kg/m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .escalera=2400(0.3121 )=749.04 kg /m

    .viva=150(1 )=150 kg/m

    Tramo (2-3)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=200(1 )=200kg/m

    .muro=1800(0.152.40 )=648kg /m

    .muro=18001.575(0.152.50 )=1063.125 kg /m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

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    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

    Tramo (3-4)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=200(1 )=200kg/m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

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    Pr%icos s"c#n$arios &r%ico C-C(

    Tramo (2"-2), (2-3)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=200(1 )=200kg/m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    Tramo (3-4)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=200(1 )=200kg/m

    .muro=1800(0.152.40 )=648kg /m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

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    Pr%icos s"c#n$arios &r%ico D-D(

    Tramo (2"-2)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=200(1 )=200kg/m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

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    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    Tramo (2-3), (3-4)

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=200(1 )=200kg/m

    .muro=1800(0.152.40 )=648kg /m

    Panta a!otea.

    . propio=2400(0.300.20 )=144 kg/m

    .losa=300(1)=300kg /m

    .acabado=100(1 )=100kg/m

    .viva=150(1 )=150 kg/m

    .muro=1800(0.151.20 )=324kg /m

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    METRADO DE CARGA DE SISMO

    P"so Losas 0 Ni1"!

    Areaneta=Area"rutaAreaesacleraAreaVigasAreavacia

    Area neta=(1011.3) (22.80 )4 (11.30.25 )4 (100.20 )(7.11.25 )

    Area neta=85.225m2

    Pesocadalosa=30085.225=25567.5kg

    Peso acabado=10085.225=8522.5 kg

    Total=34090 kg

    P"so Vigas 0 Ni1"!

    V .Principal=4 (11.30.24 )0.400.252400=10080 #$

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    V .#ecundaria=4 (100.254 )0.300.202400=5184 kg

    Total=152664 kg

    P"so M#ro 0 Ni1"!Muro de soga en V . principal=27.70.152.301800=17201.7 kg

    Murode sogaenV . secundaria=21.850.152.401800=14158.8kg

    Muro sobre losa directamente=11.90.152.501800=8032.5 kg

    Muroba$o sobre losadirectamente=100.151.201800=3240 kg

    Total=42633 kg

    P"so Co!#mnas 0 Ni1"!

    Area columnas=30.250.45+30.250.50+30.200.35+50.200.40

    Area columnas=1.3225m2

    Peso columnas=1.32252.702400=8569.8

    P"so Esca!"ra 0 Ni1"!

    Area %scalera=&arganta+Pelda'o+(escanso

    Area %scalera=0.3121

    Peso %scalera=(0.6265+0.3121 )1.252400=2815.8 kg

    Peso %scalera /)ivel=42815.8=11263.2kg

    P"so So2r"carga.

    #obrecarga Losas=85.225m2250 kg/m

    2=21306.25

    #obrecarga Losas=85.225m2200 kg/m

    2=17045

    #obrecarga %scalera=2.153400=2580 kg

    #obrecarga=0.25(21306.25+2580 )=5971.56 kg)ivelTipico

    #obrecarga=0.25(17045+2580/2 )=4583.75kg)ivel A*otea

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    R"s#m"n $" P"sos or Ni1"!.

    %i&e 1 %i&e 2 %i&e 3 %i&e 4

    Losas 34'' 34'' 34'' 34'' 133'

    *i$as 1+24 1+24 1+24 1+24 1'+

    Coumnas +. +. +. 3'. 2+1.2

    uros 4233 4233 4233 13'2.4 141'1.4

    /scaera 1123.2 1123.2 1123.2 +31. 3421.2

    0orecar$a +1.+ +1.+ +1.+ 4+3.+ 224.43

    2++11.+ 2++11.+ 2++11.+ 214+'.++ '1++.23

    / peso tota de /diicio &iene a ser P=1082682.79 kg

    3ac%or Cor%an%".

    V=+!,#

    - P

    icacin A5acuc6o

    0ueo 7ra&a Limo Arenosa

    +=0.35 (+ona3Aacucho)

    !=1.0 (%dificacionescomunesViviendas )

    #=1.15 (#uelos /ntermedios )

    -=-o/a/p

    -=810.9=7.2 (,oncreto ArmadoPorticos/rregular )

    ,=2.5

    ,=2.5(TpT)0Tp

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    Dis%ri2#cin "n !os Ni1"!"s

    Ni6el Pi

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    Dis%ri2#cin a ca$a Pr%ico

    Calculo de rigideces para cada prtico.

    Calculo de Inercia Centrales (2B, 3B, 3C)

    /=bh

    3

    12=0.250.45

    3

    12=1.910

    3

    Calculo de Inercia Laterales (3D, 3A, 2A)

    /=bh

    3

    12=0.200.35

    3

    12=0.710

    3

    Calculo de Inercia Laterales (2C, B, C)

    /=bh

    3

    12=0.250.50

    3

    12=2.610

    3

    Calculo de Inercia !s"uinas (#A, #B, A, D, 2D)

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    /=bh

    3

    12=0.200.40

    3

    12=1.110

    3

    Dis%ri2#cin a ca$a r%ico or ni1"!.

    -igide* P (44 )=%/4A+%/4 "+%/4,+%/4(

    -igide* P (44 )=1.1103+2.6103+2.6103+1.1103=7.7103%

    -igide* P (33 )=%/3A+%/3"+%/3,+%/3(

    -igide* P (33 )=0.7103+1.9103+1.9103+0.7103=5.2103%

    -igide* P (22 )=%/2A+%/2"+%/2,+%/2(

    -igide* P (22 )=0.7103+1.9103+2.6103+1.1103=6.3103%

    -igide* P (11 )=%/1A+%/1"

    -igide* P (11 )=1.1103+1.1103=2.2103%

    -igide*Totaldel P .Pricipal=21.4103%

    -igide* P (AA )=%/4A+%/3A+%/2A+%/1A

    -igide* P (AA )=1.1103+0.7103+0.7103+1.1103=3.6103%

    -igide* P ("" )=%/4"+%/3"+%/2 "+%/1"

    -igide* P ("" )=2.6103+1.9103+1.9103+1.1103=7.5103%

    -igide* P (,,)=%/4,+%/3,+%/2,

    -igide* P (,,)=2.6103+1.9103+2.6103=7.1103%

    -igide* P ((( )=%/4(+%/3(+%/2(

    -igide* P ((( )=1.1103+0.7103+1.1103=2.9103%

    -igide*Totaldel P .#ecundario=21.1103%

    Calculo de ($ii) prticos de %rimer &ivel

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    244

    = 7.710

    3%

    21.4103%14629.61=5263.93

    233=5.210

    3%

    21.410

    3

    %

    14629.61=3554.86

    222=

    6.3103%

    21.4103%14629.61=4306.85

    211=

    2.2103%

    21.4103%14629.61=1503.98

    2AA= 3.610

    3%

    21.1103

    %

    14629.61=2496.05

    2""=7.510

    3%

    21.1103%14629.61=5200.10

    2,,=7.110

    3%

    21.1103%14629.61=4922.76

    2((= 2.910

    3%

    21.1103%14629.61=2010.70

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    Ca!c#!o $" &3ii( r%icos $" S"g#n$o Ni1"!

    244

    = 7.710

    3%

    21.4103%29259.22=10527.85

    233=5.210

    3%

    21.4103%29259.22=7109.72

    222= 6.310

    3

    %21.410

    3%29259.22=8613.70

    211=

    2.2103%

    21.4103%29259.22=3007.96

    2AA= 3.610

    3%

    21.1103%29259.22=4992.09

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    2""=7.510

    3%

    21.1103%29259.22=10400.20

    2,,=7.110

    3%

    21.110

    3

    %

    29259.22=9845.52

    2((= 2.910

    3%

    21.1103%29259.22=4021.41

    Ca!c#!o $" &3ii( r%icos $" T"rc"r Ni1"!

    244

    = 7.710

    3%

    21.4103%43888.83=15791.78

    233=5.210

    3%

    21.4103%43888.83=10664.58

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    222=

    6.3103%

    21.4103%43888.83=12920.54

    211=

    2.2103%

    21.410

    3

    %

    43888.83=4511.94

    2AA= 3.610

    3%

    21.1103%43888.83=7488.14

    2""=7.510

    3%

    21.1103%43888.83=15600.30

    2,,=7.110

    3%

    21.1103

    %

    43888.83=14768.28

    2((= 2.910

    3%

    21.1103%43888.83=6032.11

    Calculo de ($ i i) prticos de Cuarto &ivel

    244

    = 7.710

    3%

    21.4103%49205.85=17704.91

    233=5.210

    3%

    21.4103%49205.85=11956.56

    222=

    6.3103%

    21.4103%49205.85=14485.83

    211=

    2.2103%

    21.4103%49205.85=5058.55

    2AA= 3.610

    3%

    21.1103%49205.85=8395.31

    2""=7.510

    3%

    21.1103%49205.85=17490.23

    2,,=7.110

    3%

    21.1103%49205.85=16557.42

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    2((= 2.910

    3%

    21.1103%49205.85=6762.89