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    DISEO POR CORTANTE DE LAS VIGAS

    VIGA PRINCIPAL 101 (1;2;3 Y 4 NIVEL)Esfuerzo de concreto

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga 70!" 1 2

    #olumna 70!" $%n/2 $%n/2d &m' 0()4

    *u &tn/m' 2(!)

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo = /2 &2(!)' &4(7' = )(!1udo 2= ("/2 &2(!)' &4(1' = )("

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = )(!1 : &2(!);0()4' = 4(17 9u = )(": &2(!);0()4' = "(00

    +a,iendo -ue.

    9c = )2!0(!4 kg/cm9c = )(2! tn/m

    +a,iendo -ue.9s ="/0(1" : )(2!9s =:0(!"

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:0(!"'9n = "(11

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 ?2

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)9c = 0(" @20 &!"' &)4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

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    + =

    !")! cm0!"

    ona de #onAnamiento = 2&d' = 2&)4' = (21 cm

    +o0(2" &d'1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO+o Entonces. 2/2 =2

    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (21 : 0(0" =(2!2!/2 =

    RESPUESA:

    VIGA PRINCIPAL 102 (1;2;3;4 NIVEL)Esfuerzo de concreto

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga 70!"

    #olumna 70!"d &m' 0()4

    *u &tn/m' 4()7

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    " &0(1"'&"(11'" "

    " "

    G ESPACIA'IENO: (42 &4200' &)4' =

    ) "cm

    + 0(" &d'

    + 0(" &)4'+ !2 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 117 12$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

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    +o0(2" &)4' = ) cm

    1 &/2C' &2("4'= 0 cm!0 cm

    1 ESRIO +o Entonces. 0/2 = "cm2

    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (21 : 0(0" =(2!2!/0 =!

    RESPUESA:

    VIGA PRINCIPAL 103 (1;2;3;4 NIVEL) 1 2 3 4 Esfuerzo de concreto $ln/2 ("/2 u %n ("/2 u %n ("/2 u %n $ln/2

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga 70!"

    #olumna 70!"d &m' 0()4

    *u &tn/m' !(7"

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo = /2 &!(7"' &4(7' = 1(1udo 2= ("/2 &!(7"' &4(1' = 0(!"udo != ("/2 &!(7"' &4(' = 0("7udo 4= ("/2 &!(7"' &4(41' = ())udo "= /2 &!(7"' &("' = !())

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = 1(1 : &!(7";0()4' = )(4 9u =0(!" : &!(7";0()4' = 7("

    %D3 DEE#53 %D3 68$6ED3

    + 0(" &d'+ 0(" &)4'+ !2 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 137 10$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 ?2

    >3 2?!

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    9u = 0(!": &!(7";0()4' = 7(" 9u = 0("7 : &!(7";0()4' = 1(7

    %D3 DEE#53 %D3 68$6ED39u = 0("7 : &!(7";0()4' = 1(7 9u = ()) : &!(7";0()4' = 7(2)

    %D3 DEE#53 %D3 68$6ED39u = ()) : &!(7";0()4' = 7(2) 9u = !()) : &!(7";0()4' = (2)

    +a,iendo -ue.

    9c = )2!0(!4 kg/cm9c = )(2! tn/m

    +a,iendo -ue.9s =1(7/0(1" : )(2!9s =:)()2

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:)()2'9n = ()

    + =

    "7()" cm))20

    ona de #onAnamiento = 2&d' = 2&0()4'= (21 cm

    +o

    0(2" &d'

    1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO +o Entonces. 2/2 =2

    >3 !?4

    >3 !?4

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)

    9c = 0(" @20 &!"' &)4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

    1(7 &0(1"'&()'

    1(7 1()11(7 7(7

    G ESPACIA'IENO:(42 &4200' &)4' =

    ) "cm

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    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (21 : 0(0" =(2!2!/2 =

    RESPUESA:

    VIGA PRINCIPAL 104 (1;2;3 4 NIVEL) 1 2 3 4 Esfuerzo de concreto $ln/2 ("/2 u %n ("/2 u %n ("/2 u %n $ln/2

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga 70!"

    #olumna 70!"d &m' 0()4

    *u &tn/m' !("

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo = /2 &!("' &4(7' = 7(40udo 2= ("/2 &!("' &4(1' = 1()udo != ("/2 &!("' &4(' = 1(11udo 4= ("/2 &!("' &4(41' = 1(udo "= /2 &!("' &("' = !(07

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = 7(40 : &!(";0()4' = "(! 9u =1() : &!(";0()4' = )()1

    %D3 DEE#53 %D3 68$6ED3

    9u = 1(): &!(";0()4' = )()1 9u = 1(11 : &!(";0()4' = )(1)

    %D3 DEE#53 %D3 68$6ED39u = 1(11 : &!(";0()4' = )(1) 9u = 1( : &!(";0()4' = )(0

    + 0(" &d'+ 0(" &)4'+ !2 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 117 12$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 ?2

    >3 2?!

    >3 !?4

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    %D3 DEE#53 %D3 68$6ED3

    9u = 1(: &!(";0()4' = )(0 9u = !(0(7 : &!(";0()4' = (0)

    +a,iendo -ue.

    9c = )2!0(!4 kg/cm9c = )(2! tn/m

    +a,iendo -ue.9s =)(1)/0(1" : )(2!

    9s =:1()

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:1()'

    9n = 1(07

    + = !(4) cm1)0

    ona de #onAnamiento = 2&d' = 2&0()4'= (21 cm

    +o0(2" &d'1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO +o Entonces. 2/2 =2

    UERA -E LA ONA -E CONINA'IENO

    >3 !?4

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)9c = 0(" @20 &!"' &)4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

    )(1) &0(1"'&1(07')(1) )(1"

    )(1) )(1)

    G ESPACIA'IENO:

    (42 &4200' &"4' =

    ) "cm

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    ONA -E CONINA'IENO (21 : 0(0" =(2!

    2!/2 =

    RESPUESA:

    VIGA SECUN-ARIA 10 (1;2;3 4 NIVEL) 1 2 3 4 Esfuerzo de concreto $ln/2 ("/2 u %n ("/2 u %n ("/2 u %n $ln/2

    Fluencia del acero fy = 4200 kg/cm

    Dimensiones de la viga 70!"#olumna 70!"

    d &m' 0()4

    *u &tn/m' 2(!)

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo = /2 &2(!)' &!(10' = 4(41udo 2= ("/2 &2(!)' &!(1' = "(40

    udo != ("/2 &2(!)' &!()' = 4(2udo 4= ("/2 &2(!)' &2(1' = 4(04udo "= /2 &2(!)' &!(10' = 4(41

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = 1(1 : &!(7";0()4' = 2(7 9u =0(!" : &!(7";0()4' = !(1

    %D3 DEE#53 %D3 68$6ED39u = 0(!": &!(7";0()4' = !(1 9u = 0("7 : &!(7";0()4' = 2(71

    %D3 DEE#53 %D3 68$6ED39u = 0("7 : &!(7";0()4' = 2(71 9u = ()) : &!(7";0()4' = 2("!

    %D3 DEE#53 %D3 68$6ED3

    + 0(" &d'+ 0(" &)4'

    + !2 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 117 12$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 ?2

    >3 2?!

    >3 !?4

    >3 !?4

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    9u = ()) : &!(7";0()4' = :(" 9u = !()) : &!(7";0()4' = 2(7

    +a,iendo -ue.

    9c = )2!0(!4 kg/cm

    9c = )(2! tn/m

    +a,iendo -ue.

    9s =1(7/0(1" : )(2!9s =:)()2

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:)()2'

    9n = ()

    + =

    "7()" cm))20

    ona de #onAnamiento = 2&d' = 2&0()4'= (21 cm

    +o0(2" &d'

    1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO +o Entonces. 2/2 =

    2

    UERA -E LA ONA -E CONINA'IENO

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)

    9c = 0(" @20 &!"' &)4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:

    Vu / V!1(7 &0(1"'&()'

    1(7 1()11(7 1(7

    G ESPACIA'IENO:(42 &4200' &)4' =

    ) "cm

    + 0(" &d'+ 0(" &)4'

    + !2 cm

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    ONA -E CONINA'IENO (21 : 0(0" =(2!2!/2 =

    RESPUESA:

    VIGA SECUN-ARIA 101 (1 NIVEL) 1 2 3 4 Esfuerzo de concreto $ln/2 ("/2 u %n ("/2 u %n ("/2 u %n $ln/2

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga )0!0

    #olumna 70!"d &m' 0("4

    *u &tn/m' !(!1

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo = /2 &!(!1' &!(10' = )(42udo G= ("/2 &!(!1' &!(1' = 7(74udo #= ("/2 &!(!1' &!()' = )(4udo D= ("/2 &!(!1' &2(1' = "(7udo E= /2 &!(!1' &!(10' = )(42

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = )(42 : &!(!1;0("4' = 4()0 9u =7(74 : &!(!1;0("4' = "(

    %D3 DEE#53 %D3 68$6ED39u = 7(74 : &!(!1;0("4' = "( 9u = )(4 : &!(!1;0("4' = 4(!2

    %D3 DEE#53 %D3 68$6ED3

    9u = )(4 : &!(!1;0("4' = 4(!2 9u = "(7: &!(!1;0("4' = !(7

    %D3 DEE#53 %D3 68$6ED39u = "(7 : &!(";0("4' = !(7 9u = )(42 : &!(";0("4' = 4()0

    +a,iendo -ue.

    + =2" cm

    1 / 3.56 : 1 7 $8; 117 12$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 ?G

    >3 G?#

    >3 #?D

    >3 #?D

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)

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    9c = 7!1(02 kg/cm9c = (74 tn/m

    +a,iendo -ue.9s ="(/0(1" : (749s =:4(7

    +a,iendo -ue. V! = V$ % V&

    9n = )(2! < &:4(7'9n = )("

    + = 7"(71 cm"2)0

    ona de #onAnamiento = 2&d' = 2&0("4'= (01 cm

    +o0(2" &d'1 Bmin!0 cm

    +o 0(2" &)4' = ) cm1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO +o Entonces. 2/2 =2

    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (01 : 0(0" = (0!0!/2 =

    9c = 0(" @20 &!0' &"4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

    "( &0(1"'&)("'"( "(07"( "(

    G ESPACIA'IENO:

    (42 &4200' &"4' =

    ) "cm

    + 0(" &d'

    + 0(" &"4'+ 27 cm

    + =2" cm

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    RESPUESA:

    VIGA SECUN-ARIA 102 (1;2;3 4 NIVEL) 1 2 3 4 Esfuerzo de concreto $ln/2 ("/2 u %n ("/2 u %n ("/2 u %n $ln/2

    Fluencia del acero fy = 4200 kg/cm

    Dimensiones de la viga )0!0#olumna 70!"d &m' 0("4

    *u &tn/m' )(0

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo = /2 &)(0' &!(10' = ("7udo G= ("/2 &)(0' &!(1' = !(4udo #= ("/2 &)(0' &!()' = (07udo D= ("/2 &)(0' &2(1' = 0(44udo E= /2 &)(0' &!(10' = ("7

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = ("7 : &)(0;0("4' = 1(21 9u = !(4 : &)(0;0("4' = 0()"

    %D3 DEE#53 %D3 68$6ED39u = !(4 : &)(0;0("4' = 0()" 9u = (07 : &)(0;0("4' = 7(71

    %D3 DEE#53 %D3 68$6ED39u = (07 : &)(0;0("4' = 7(71 9u = 0(44 : &)(0;0("4' = 7("

    %D3 DEE#53 %D3 68$6ED39u = 0(44 : &)(0;0("4' = 7(" 9u = ("7 : &)(0;0("4' = 1(21

    1 / 3.56 : 1 7 $8; 7 12$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 ?G

    >3 G?#

    >3 #?D

    >3 #?D

    C CALCULA'OS (V$):

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    +a,iendo -ue.

    9c = 7!1(02 kg/cm9c = (74 tn/m

    +a,iendo -ue.9s =0()"/0(1" : (749s =0(7

    +a,iendo -ue. V! = V$ % V&9n = )(2! < 0(79n = 2("!

    + =

    407()7 cm70

    ona de #onAnamiento = 2&d' = 2&0("4'= (01 cm

    +o0(2" &d'1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &/2C' &2("4'= 0 cm!0 cm

    1 ESRIO +o Entonces. 0/2 =2

    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (01 : 0(0" =(0!0!/0 =

    V$ = 0 *f+$ (,) (#)9c = 0(" @20 &!0' &"4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

    0()" &0(1"'&2("!'0()" 0()"0()" 0()"

    G ESPACIA'IENO:(42 &4200' &"4' =

    "cm

    + 0(" &d'+ 0(" &"4'+ 27 cm

    + =2" cm

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    RESPUESA:

    VIGA SECUN-ARIA 103 (1;2;3;4 NIVEL)Esfuerzo de concreto

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga )0!0

    #olumna 70!"d &m' 0("4

    *u &tn/m' 4(

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo G= /2 &4(' &2(4' = 4(!udo #= ("/2 &4(' &2(1' = 7(0!udo D= /2 &4(' &!(12' = 7(1!

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = 4(! : &4(;0("4' = 2(7 9u = 7(0! : &4(;0("4' = 4(1

    %D3 DEE#53 %D3 68$6ED39u = 7(0! : &4(;0("4' = 4(1 9u = 7(1! : &4(;0("4' = "()2

    +a,iendo -ue.

    9c = 7!1(02 kg/cm9c = (74 tn/m

    +a,iendo -ue.9s ="()2/0(1" : (749s =:"(!

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:"(!'

    1 / 3.56 : 1 7 $8; 117 10$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 G?#

    >3 #?D

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)9c = 0(" @20 &!0' &"4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

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    9n = )()

    + =

    )2(77 cm"!0

    ona de #onAnamiento = 2&d' = 2&0("4'= (01 cm

    +o0(2" &d'1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &/2C' &2("4'= 0 cm!0 cm

    1 ESRIO +o Entonces. 0/2 =

    2

    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (01 : 0(0" = (0!0!/0 =

    RESPUESA:

    VIGA SECUN-ARIA 104 (1;2;3;4 NIVEL)Esfuerzo de concreto

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga )0!0

    #olumna 70!"d &m' 0("4

    *u &tn/m' 4(7)

    CO'PROA'OS:Vu / V!

    "()2 &0(1"'&)()'"()2 "()1"()2 "()2

    G ESPACIA'IENO:(42 &4200' &"4' =

    "cm

    + 0(" &d'+ 0(" &"4'+ 27 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 117 10$8 972$8

    fc = 20kg/cm

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    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo G= /2 &4(7)' &2(4' = "(0udo #= ("/2 &4(7)' &2(1' = 1()udo D= /2 &4(7)' &!(12' = (0

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED39u = )("2 : &4(7);0("4' = 2("2 9u = 7(7 : &4(7);0("4' = "("

    %D3 DEE#53 %D3 68$6ED39u = 7(7 : &4(7);0("4' = "(" 9u = "(4 : &4(7);0("4' = )("2

    +a,iendo -ue.

    9c = 7!1(02 kg/cm9c = (74 tn/m

    +a,iendo -ue.9s =)("2/0(1" : (749s =:4(07

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:4(07'9n = 7()7

    + =

    7(2 cm4070

    ona de #onAnamiento = 2&d' = 2&0("4'= (01 cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 G?#

    >3 #?D

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)9c = 0(" @20 &!0' &"4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

    )("2 &0(1"'&7()7')("2 )(")("2 )("2

    G ESPACIA'IENO:(42 &4200' &"4' =

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    +o0(2" &d'1 Bmin!0 cm

    +o0(2" &)4' = ) cm

    1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO +o Entonces. 2/2 =2

    UERA -E LA ONA -E CONINA'IENO

    ONA -E CONINA'IENO (01 : 0(0" =(0!0!/2 =

    RESPUESA:

    VIGA SECUN-ARIA 10 (2;3;4 NIVEL)Esfuerzo de concreto

    Fluencia del acero fy = 4200 kg/cmDimensiones de la viga )0!0

    #olumna 70!"d &m' 0("4

    *u &tn/m' (!1

    SOLUCION:

    +a,iendo -ue. Viu = Coef (U) (L!)

    udo G= /2 &(!1' &2(4' = "(0

    udo #= ("/2 &(!1' &2(1' = 1()udo D= /2 &(!1' &!(12' = (0

    +a,iendo -ue. Vu = (Viu) " (U) (#)

    %D3 DEE#53 %D3 68$6ED3

    ) "cm

    + 0(" &d'+ 0(" &"4'+ 27 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 7 12$8 972$8

    fc = 20kg/cm

    A CALCULA'OS (Viu):

    CALCULA'OS (Vu):

    >3 G?#

  • 7/24/2019 estribos listo.xlsxwrg

    18/19

    9u = "(0 : &(!1;0("4' = 4(!" 9u = 7(7 : &(!1;0("4' = 7(4

    %D3 DEE#53 %D3 68$6ED39u = 7(7 : &(!1;0("4' = 7(4 9u = )() : &(!1;0("4' = 1(!"

    +a,iendo -ue.

    9c = 7!1(02 kg/cm9c = (74 tn/m

    +a,iendo -ue.9s =1(!"/0(1" : (749s =:(2

    +a,iendo -ue. V! = V$ % V&9n = )(2! < &:(2'

    9n = (12

    + =

    )7(74cm20

    ona de #onAnamiento = 2&d' = 2&0("4'= (01 cm

    +o0(2" &d'1 Bmin!0 cm

    +o

    0(2" &)4' = ) cm

    1 &"/1C' &2("4'= 2 cm!0 cm

    1 ESRIO +o Entonces. 2/2 =2

    UERA -E LA ONA -E CONINA'IENO

    >3 #?D

    C CALCULA'OS (V$):

    V$ = 0 *f+$ (,) (#)9c = 0(" @20 &!0' &"4'

    - CALCULA'OS (V&):

    V& = Vu./ " V$

    E CALCULA'OS (V!):

    CO'PROA'OS:Vu / V!

    1(!" &0(1"'&(12'1(!" 1(!471(!" 1(!"

    G ESPACIA'IENO:(42 &4200' &"4' =

    ) "cm

    + 0(" &d'

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    19/19

    ONA -E CONINA'IENO (01 : 0(0" = (0!0!/2 =

    RESPUESA:

    + 0(" &"4'+ 27 cm

    + =2" cm

    1 / 3.56 : 1 7 $8; 7 12$8 972$8