Viga Simplemente Reforzada

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    DATOS DEL PROBLEMAUNIDADES UNIDADES

    f'c= 21 Mpa 2.1 KN/cm^2fy= 420 Mpa 42 KN/cm^21= 0.!"#c= 24 KN/m^$

    Ec= 1%!%2.0" Mpa

    E&= 200000 Mpa

    m= 2$."$

    = 0.(DISPOSI)ION DE LA *I+A

    L=   ( ma,c-=   1.2 m&p&=   0.12 m

    SE))ION TTANS*ERSAL=   $0 cm-=   4" cm=   4%.4! cmRc3m=   4 cmy'=   !."$ cm

    c,5,c,&,6aa a6&&a7a a6&

    a5   &5ac,& a &p3&6a&ca7c37ac,

    TABLA. DIMENSIONES NOMINALES DE LAS BARRAS DE REFUERZODIMENSIONE

    DIAM. (mm)

    No.2 1/4" 6.4

    No.3 3/8" 9.5

    No.4 1/2" 12.

    No.5 5/8" 15.9

    No.6 3/4" 19.1

    No. /8" 22.2

    No.8 1" 25.4

    No.9 1!1/8" 28.No.1 1!1/4" 32.3

    No 11 1!3/8" 35 8

    DESI#AN$ION DE LABARRA

    DIAMETRO DEREFERN$IA EN IN$%

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    No.14 1!3/4" 43

    No.18 2!1/4" 5.3

    0 0.0000"0

    "0

    100

    1"0

    200

    2"0

    $00

    M [KN*m]

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    )AL)ULO DE )AR+AS   OBSER*A)IONES3,a

    MUERTAS8 9D:PP*= 3.24 KN/mp& p7aca= 3.456 KN/m;=   %.0" KN/m

    SUMA TOT. 13.46 KN/m

    *I*AS8 9L:

    pa6,&=   4.! KN/m

    MA@L= 24.152MOMENTO

    M3ma= 244.39 KNmM,= 21.91

    )UANTIAC= .42= .11   & c3mp7

    )UANTIA BALAN)EADA   c3a, 7a c3a,6aa7= .2165   , c3mp7 3&ama= .162563   =0>011m,7= .22

    PRIMERA APROIMA)ION DE A&8a&3m, 8 c, ac 1''

    y'=   @.22 cm= 4.48

    UNIDADA&= 15.665229 cm^2cmpac, A&8A&a7= 29.9124 cm^2   & ap6aA&ma= 22.4343 cm^2   & ap6a

     NOMINALES

    AREA mm2 'ERIM. (m   aa 9cm:32 2 .25   0.$21 3 .56   0.%1129 4 .994   1.2(199 5 1.552   1.((284 6 2.235   2.!438 3.42   $.!%51 8 3.93   ".10

    645 9 5.6   @.4"819 11.3 6.44   !.1(16 112 5 9 10 0@

    MASA(/m)

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    1452 135.1 11.38   14."22581 18.1 2.24   2".!1

    0.0001 0.0001" 0.0002

    MOMENTO &S $UR&ATURA

    φ

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    )OMPROBA)ION DE - BARRAS S-= 53. apmam&   )ANT-=   "" 2

    ,35 8   2= 48.8

    )AL)ULO *I+A SIMPLEMENTE REHORADA

    MUERTAS8 9D:   ca7c37a

    PP*= 3.96 KN/m   )mpac

    p& p7aca= 3.456 KN/m

    ;= .5 KN/mSUMA TOT. 14.466 KN/m

    *I*AS8 9L: ca7cpa6,&= 4.8 KN/m

    y'=MA@L= 25.392   M,=

    MOMENTO c=M3ma= 253.5219 KNmM,= 281.691

    )UANTIA   ca7c37aC= .395   ,== .11   c=

    f&= T&= Tc= T=Mc=

    )=

    f&= T&= Tc= T=Mc=

    c35a63a

    6.21E!6

    4.393E!6.28

    24

    3=

    c=&=

    c=

    c=

    &=

    c=

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    0.0002"

    MOMENTO *S )UR*ATURA

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      +FN )RITERIO DE DISEGOBARRA   aa TN.@ 5.68N.! 1.2A&= 15.88

    ,   ap6   a77a E& y E&$0

    [email protected]

    7ac, a 7 f3J3,a

    6.625 cm48.94 cm

    12.4549196 cm28485.89429 KN/cm   aQca

    14.@"2!2"[email protected]%$!%   aQca

    HISURA11

    29.4 cm.182521

    .1213266

    24.2@"$24"1(2 CN$!."$$$$"$$@"

    10%."[email protected]"$$$"$$%"4"4.@01412$2   [email protected](($@E00@   aQca

    A+RIETAMIENTO18.81

    .82628

    [email protected]@!@$%%4"242.0$21(@%$(4

    1"1.((!1(4.0$01(@%$(1%($.40!%"4$!   aQca4.$(2%%0E00@   aQca

    mm,6

    54.5461412

    1.934854116.65

    284 8589429

    p,7=

    ma=

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    DATOS DEL PROBLEMAUNIDADES UNIDADES

    f'c= 21 Mpa 2.1 KN/cm^2fy= 420 Mpa 42 KN/cm^21= 0.!"#c= 24 KN/m^$

    Ec= 1%!%2.0" MpaE&= 200000 Mpam= 2$."$= 0.(

    DISPOSI)ION DE LA *I+AL=   ( ma,c-=   1.2 m&p&=   0.12 m

    SE))ION TTANS*ERSAL=   $0 cm

    -=   4" cm=   4%.4! cmRc3m=   4 cmy'=   !."$ cm

    c,5,c,&,6aa a6&&a7a a6&

    a5   &5ac,& a &p3&6a&ca7c37ac,

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    )AL)ULO DE )AR+AS   OBSER*A)IONES3,a

    MUERTAS8 9D:PP*= 3.24 KN/mp& p7aca= 3.456 KN/m;=   %.0"@ KN/m

    SUMA TOT. 13.52 KN/m*I*AS8 9L:

    pa6,&=   4.! KN/m

    MA@L= 24.1824MOMENTO

    M3ma= 244.8468KNmM,= 22.52

    )UANTIAC= .42= .11   & c3mp7

    )UANTIA BALAN)EADA   c3a, 7a c3a,6aa7= .2165   , c3mp7 3&ama= .162563   =0>011m,7= .22

    PRIMERA APROIMA)ION DE A&8a&3m, 8 c, ac 1''

    y'=   @.22 cm= 4.48

    UNIDADA&= 15.69cm^2cmpac, A&8A&a7= 29.9124cm^2   & ap6aA&ma= 22.4343cm^2   & ap6a

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    TABLA. DIMENSIONES NOMINALES DE LAS BARRAS DE REFUERZO

    DIMENSIO

    DIAM. (mm)

    No.2 1/4" 6.4

    No.3 3/8" 9.5

    No.4 1/2" 12.

    No.5 5/8" 15.9No.6 3/4" 19.1

    No. /8" 22.2

    No.8 1" 25.4

    No.9 1!1/8" 28.

    No.1 1!1/4" 32.3

    No.11 1!3/8" 35.8

    No.14 1!3/4" 43

    No.18 2!1/4" 5.3

    DESI#AN$ION DE LABARRA

    DIAMETRO DEREFERN$IA EN IN$%

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    ES NOMINALES

    *+,* (-m)2AREA mm2 'ERIM. (mm)2

    32 2 .25 .32

    1 3 .56 .1

    129 4 .994 1.29

    199 5 1.552 1.99284 6 2.235 2.84

    38 3.42 3.8

    51 8 3.93 5.1

    645 9 5.6 6.45

    819 11.3 6.44 8.19

    16 112.5 .9 1.6

    1452 135.1 11.38 14.52

    2581 18.1 2.24 25.81

    &3ma 1.94

    MASA(/m)