calculo de viga 6

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  • 8/18/2019 Calculo de Viga 6

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    DIMENSIONAMENTO DA ARMADURA DE VIGAS E LAJES À FLEXÃO 

    Em:

    Obra:

    Conteúdo:

    M = 3,058.50 kg·m/m

    B (cm) =   100

    cobrimento do concreto (cm) =   1.5

    dmín (cm) = 11.2

    D (cm) =   12.0   H (cm) =   15

    aço CA-50A c! (!"#cm2) =   200

     A$%(&) = cm2#m ='

    As(-) = 9.57 cm2/m =>   125mm c#1*cm

     A$ m+n = 2.25 cm2#m

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    25-A,r-1

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    VERIFICAÇÕES AO CISALHAMENTO B/ 11# B/ 11#200*

    com,onente   nidade   3ODE4O 1 3ODE4O 2 : *0

    c!   36a   20 20 20

    36a   500 500 500

    cobrimento $,   cm   1.5 1.5 1.5

    cobrimento in    cm   1.5 1.5 1.5cm   *5 *5 *5

    7   cm   15 15 15

    d   cm   12 12 12

     A$   cm2   15.8 - -

    -   0.0298 - -

    -   0.85 - -

    !"   128* 128* 128*

    !"   2280.20 2280.20 2280.20

    !"#cm2   182.51 182.51 182.51

    !"#cm2   8*8.21 8*8.21 8*8.2136a   - 2.2108 2.2108

    36a   - 1.58* 1.58*

    36a   - 1.1052 1.1052

    Verificação da compressáo diagonal no concreto:

    -   - 0.92 0.92

    !"   - 18908.00 1290.28

    condição: Vd

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    3ODE4O 2 : 85

    20

    500

    1.5

    1.5*5

    15

    12

    -

    -

    -

    128*

    2280.20

    182.51

    8*8.212.2108   0*(c!)2#*

    1.58*   0ctm

    1.1052   ct!in#18

    0.92   1-21#250

    18908.00

    não verifica

    ssão(2)

    25.1*   0ctdb?d

    -100.90

    -100.90

    28581.10   @d-@c1

    52.26

    3.09.0

    ;atro

    *.

    *.

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    SEÇÃO DE FERRO PARA ARMAÇÃO EM BARRAS LONGITUDINAIS DE VIGAS E P 

    !"#$ %! &#uantidad

    1 2 3 4 5 ! " # 1$3/16   8. 0.1 0.* 0.5* 0.1 0.9 1.0 1.25 1.8* 1.0 1.1/4   .*5 0.*2 0.* 0.95 1.2 1.5 1.90 2.22 2.5* 2.5 *.1

    5/16   .98 0.89 0.99 1.8 1.9 2.8 2.9 *.8 *.9 8.85 8.953/8   9.5* 0.1 1.8* 2.18 2.5 *.5 8.2 8.99 5.0 .81 .1*1/2   12.0 1.2 2.5* *.0 5.0 .** .0 . 10.1* 11.80 12.5/8   15. 1.9 *.9 5.98 .92 9.90 11. 1*. 15.* 1.1 19.93/4   19.05 2.5 5.0 .55 11.80 18.25 1.10 19.95 22.0 25.5 2.507/8   22.2* *. . 11.8 15.52 19.80 2*.2 2.1 *1.08 *8.92 *.91   25.80 5.0 10.1* 15.20 20.2 25.*8 *0.80 *5.8 80.58 85.0 50.- 3.20   0.0 0.1 0.28 0.*2 0.80 0.8 0.5 0.8 0.2 0.0- 3.40   0.09 0.1 0.2 0.* 0.85 0.58 0.8 0.* 0.2 0.91- 4.00   0.1* 0.25 0.* 0.50 0.* 0.5 0. 1.01 1.1* 1.2- 4.20   0.18 0.2 0.82 0.55 0.9 0.* 0.9 1.11 1.25 1.*9- 5.00   0.20 0.*9 0.59 0.9 0.9 1.1 1.* 1.5 1. 1.9- 6.00   0.2 0.5 0.5 1.1* 1.81 1.0 1.9 2.2 2.58 2.*- 6.30   0.*1 0.2 0.98 1.25 1.5 1. 2.1 2.89 2.1 *.12- 7.00   0.* 0. 1.15 1.58 1.92 2.*1 2.9 *.0 *.8 *.5- 8.00   0.50 1.01 1.51 2.01 2.51 *.02 *.52 8.02 8.52 5.0*- 9.50   0.1 1.82 2.1* 2.8 *.58 8.25 8.9 5. .* .09- 10.00   0.9 1.5 2.* *.18 *.9* 8.1 5.50 .2 .0 .5- 12.50   1.2* 2.85 *. 8.91 .18 .* .59 9.2 11.08 12.2- 16.00   2.01 8.02 .0* .08 10.05 12.0 18.0 1.0 1.10 20.11- 20.00   *.18 .2 9.82 12.5 15.1 1.5 21.99 25.1* 2.2 *1.82- 22.20   *. .8 11.1 15.8 19.*5 2*.22 2.10 *0.9 *8.8 *.1- 25.00   8.91 9.2 18.* 19.* 28.58 29.85 *8.* *9.2 88.1 89.09

    Dimetroem ,oe-"ada$

    Dimetroem mi+-metro$

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    ILARES 

    !''$ (cm2) de $arras

    11 12 13 14 15 1 1! 1" 1# 2$  1.9 2.18 2.*2 2.89 2. 2.5 *.0* *.21 *.* *.5   0.1*9 1.50

    *.8 *.0 8.12 8.8* 8.5 5.0 5.* 5.0 .02 .**   0.28 1.99

    5.88 5.98 .8* .9* .82 .92 .81 .91 9.80 9.90   0.* 2.89

    .8 .55 9.2 9.9 10.9 11.80 12.11 12.* 1*.58 18.25   0.55 2.99

    1*.9* 15.20 1.8 1.* 19.00 20.2 21.58 22.0 28.0 25.*8   0.9 *.99

    21. 2*.5 25.* 2.1 29.9 *1. **.5 *5.* *.1 *9.59   1.588 8.99

    *1.*5 *8.20 *.05 *9.90 82.5 85.0 8.85 51.*0 58.15 5.00   2.22* 5.9

    82. 8.55 50.8* 58.*1 5.19 2.0 5.95 9.* *.1 .59   *.02 .9

    55.8 0.0 5. 0.98 .01 1.0 .18 91.21 9.2 101.*8   *.952 .9

    0. 0.9 1.05 1.1* 1.21 1.29 1.* 1.85 1.5* 1.1   0.0* 1.01

    1.00 1.09 1.1 1.2 1.* 1.85 1.58 1.* 1.* 1.2   0.01 1.0

    1.* 1.51 1.* 1. 1. 2.01 2.18 2.2 2.*9 2.51   0.09 1.2

    1.52 1. 1.0 1.98 2.0 2.22 2.* 2.89 2.* 2.   0.10 1.*2

    2.1 2.* 2.55 2.5 2.95 *.18 *.*8 *.5* *.* *.9*   0.15* 1.5

    *.11 *.*9 *. *.9 8.28 8.52 8.1 5.09 5.* 5.5   0.221 1.

    *.8* *.8 8.05 8.* 8. 8.99 5.*0 5.1 5.92 .2*   0.28* 1.9

    8.2* 8.2 5.00 5.*9 5. .1 .58 .9* .*1 .0   0.*00 2.20

    5.5* .0* .5* .08 .58 .08 .55 9.05 9.55 10.05   0.*92 2.51

    .0 .51 9.21 9.92 10.* 11.*8 12.05 12. 1*.8 18.1   0.55* 2.9

    .8 9.82 10.21 11.00 11. 12.5 1*.*5 18.18 18.92 15.1   0.1* *.18

    1*.50 18.* 15.95 1.1 1.81 19.* 20. 22.09 2*.*2 28.58   0.95 *.9*

    22.12 28.1* 2.18 2.15 *0.1 *2.1 *8.1 *.19 *.20 80.21   1.5 5.0*

    *8.5 *.0 80.8 8*.9 8.12 50.2 5*.81 5.55 59.9 2.*   2.850 .2

    82.5 8.85 50.*2 58.19 5.0 1.9* 5.0 9. *.58 .82   *.019 .9

    58.00 5.90 *.1 .2 *.* .58 *.85 .* 9*.2 9.1   *.29 .5

    ,e$o ,ormetroinear(!"#m)

    ,er+-metro(cm)

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    3,4 mm 4,2 mm 4,76 mm 5,0 mm 6,0 mm 6,3 mm 8,0 mm 10,0 mm 12,5 mm 16,0 mm  e   *#1F 1#8F 5#1F *#F 1#2F 5#F

    %&0    1.2 2. *.5 *.9* 5.5 .** 9.90 18.25 25.*8 *9.59   %&0 

    %&%    1.5 2.52 *.28 *.5 5.18 5. 9.00 12.9 2*.0* *5.99   %&% 

    '&0    1.51 2.*1 2.9 *.2 8.1 5.2 .25 11. 21.11 *2.99   '&0 

    '&%    1.80 2.1* 2.8 *.02 8.*5 8. .1 10.9 19.89 *0.85   '&% &0    1.*0 1.9 2.58 2.0 8.08 8.52 .0 10.1 1.10 2.2   &0 

    &%    1.21 1.5 2.* 2.2 *. 8.22 .0 9.50 1.9 2.*9   &% 

    &0    1.1* 1.* 2.2* 2.85 *.5* *.9 .19 .91 15.* 28.8   &0 

    &%    1.0 1.* 2.10 2.*1 *.** *.* 5.2 .* 18.90 2*.29   &% 

    *&0    1.01 1.58 1.9 2.1 *.18 *.52 5.50 .92 18.0 21.99   *&0 

    *&%    0.9 1.8 1. 2.0 2.9 *.** 5.21 .50 1*.** 20.8   *&% 

    "0&0    0.91 1.*9 1. 1.9 2.* *.1 8.95 .1* 12. 19.9   "0&0 

    "0&%    0. 1.*2 1.0 1. 2.9 *.02 8.1 .9 12.0 1.5   "0&% 

    ""&0    0.* 1.2 1.2 1. 2.5 2. 8.50 .8 11.52 1.99   ""&0 

    ""&%    0.9 1.20 1.55 1.1 2.8 2.5 8.*0 .20 11.02 1.21   ""&% 

    "2&0    0. 1.15 1.8 1.8 2.* 2.8 8.12 5.98 10.5 1.89   "2&0 

    "2&%    0.* 1.11 1.8* 1.5 2.2 2.5* *.9 5.0 10.1* 15.*   "2&% "+&0    0.0 1.0 1.* 1.51 2.1 2.88 *.1 5.8 9.8 15.2*   "+&0 

    "+&%    0. 1.0* 1.*2 1.85 2.09 2.*5 *. 5.2 9.* 18.   "+&% 

    ",&0    0.5 0.99 1.2 1.80 2.02 2.2 *.5* 5.09 9.05 18.18   ",&0 

    ",&%    0.* 0.9 1.2* 1.*5 1.95 2.1 *.81 8.91 .8 1*.5   ",&% 

    "%&0    0.1 0.92   1.19 1.31   1. 2.11   *.*0 8.5 .85 1*.20   "%&0 "%&%    0.59 0.9 1.15 1.2 1.2 2.08 *.19 8.0 .1 12.   "%&% 

    "'&0    0.5 0. 1.11 1.2* 1. 1.9 *.09 8.85 .92 12.*   "'&0 

    "'&%    0.55 0.8 1.0 1.19 1.1 1.92 *.00 8.*2 . 12.00   "'&% 

    "&0    0.5* 0.1 1.05 1.15 1. 1. 2.91 8.19 .85 11.8   "&0 

    "&%    0.52 0.9 1.02 1.12 1.2 1.1 2.* 8.0 .28 11.*1   "&% 

    "&0    0.50 0. 0.99 1.09 1.5 1. 2.5 *.9 .08 11.00   "&0 

    "&%    0.89 0.5 0.9 1.0 1.5* 1.1 2. *.5 .5 10.0   "&% "*&0    0.8 0.* 0.98 1.0* 1.89 1. 2.0 *.5 . 10.82   "*&0 

    "*&%    0.8 0.1 0.91 1.01 1.85 1.2 2.58 *.5 .50 10.15   "*&% 

    20&0    0.85 0.9 0.9 0.98   1.81 1.58 2.47   *.5 .** 9.90   20&0 2"&0    0.8* 0. 0.5 0.9* 1.*5 1.51 2.* *.*9 .0* 9.8*   2"&0 

    22&0    0.81 0.* 0.1 0.9 1.29 1.88 2.25 *.28 5. 9.00   22&0 

    2,&0    0.* 0.5 0.8 0.2 1.1 1.*2 2.0 2.9 5.2 .25   2,&0 

    2%&0    0.* 0.55 0.1 0.9 1.1* 1.2 1.9 2.5 5.0 .92   2%&0 

    2'&0    0.*5 0.5* 0.9 0. 1.09 1.22 1.90 2.8 8. .1   2'&0 

    2&0    0.*2 0.89 0.8 0.0 1.01 1.1* 1. 2.58 8.52 .0   2&0 

    +0&0    0.*0 0.8 0.59 0.5 0.98 1.0 1.5 2.* 8.22 .0   +0&0 

    +2&0    0.2 0.8* 0.5 0.1 0. 0.99 1.55 2.2* *.9 .19   +2&0 

    +,&0    0.2 0.81 0.52 0.5 0.* 0.9* 1.8 2.10 *.* 5.2   +,&0 +%&0    0.2 0.80 0.51 0.5 0.1 0.90 1.81 2.08 *.2 5.   +%&0 

    bitoa 3,4 mm 4,2 mm 3/16 5,0 mm 6,0 mm 6,3 mm 8,0 mm 10,0 mm 12,5 mm 16,0 mm (cm.)   0&+,0 0&,20 0&,' 0&%00 0&'00 0&'+% 0&*, 0&*%+ "&20 "&%  

    0&0* 0&", 0&" 0&20 0&2 0&+2 0&,* 0&" "&2 "&*  

    SEÇÃO DE FERRO POR METRO PARA LAJES %&'2(

    $eçGo ,#1erro (cm2)

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    3,4 mm 4,2 mm 4,76 mm 5,0 mm 6,0 mm 6,3 mm 8,0 mm 10,0 mm 12,5 mm 16,0 mm  e   *#1F 1#8F 5#1F *#F 1#2F 5#F

    %&0    *.* 5.58 .1* .5 11.*1 12. 19.9 2.50 50. 9.1   %&0 

    %&%    *.*0 5.08 .8 .18 10.2 11.52 1.99 25.91 8.0 1.9   %&% 

    '&0    *.0* 8.2 5.98 .58 9.82 10.5 1.89 2*.5 82.2* 5.9   '&0 

    '&%    2.9 8.2 5.8 .08 .0 9.8 15.2* 21.92 *.9 0.90   '&% &0    2.59 *.9 5.09 5.1 .0 9.05 18.18 20.* *.19 5.55   &0 

    &%    2.82 *.9 8.5 5.28 .58 .85 1*.20 19.00 **. 52.   &% 

    &0    2.2 *.8 8.85 8.91 .0 .92 12.* 1.1 *1. 89.8   &0 

    &%    2.18 *.2 8.19 8.2 .5 .85 11.8 1. 29.1 8.5   &% 

    *&0    2.02 *.0 *.9 8.* .2 .08 11.00 15.* 2.15 8*.99   *&0 

    *&%    1.91 2.92 *.5 8.1* 5.95 . 10.82 15.00 2. 81.   *&% 

    "0&0    1.2 2. *.5 *.9* 5.5 .** 9.90 18.25 25.*8 *9.59   "0&0 

    "0&%    1.* 2.8 *.*9 *.8 5.*9 .0* 9.8* 1*.5 28.1* *.0   "0&% 

    ""&0    1.5 2.52 *.28 *.5 5.18 5. 9.00 12.9 2*.0* *5.99   ""&0 

    ""&%    1.5 2.81 *.10 *.81 8.92 5.51 .1 12.*9 22.0* *8.82   ""&% 

    "2&0    1.51 2.*1 2.9 *.2 8.1 5.2 .25 11. 21.11 *2.99   "2&0 

    "2&%    1.85 2.22 2.5 *.18 8.52 5.0 .92 11.80 20.2 *1.   "2&% "+&0    1.80 2.1* 2.8 *.02 8.*5 8. .1 10.9 19.89 *0.85   "+&0 

    "+&%    1.*5 2.05 2.8 2.91 8.19 8.9 .** 10.5 1. 29.*2   "+&% 

    ",&0    1.*0 1.9 2.58 2.0 8.08 8.52 .0 10.1 1.10 2.2   ",&0 

    ",&%    1.25 1.91 2.8 2.1 *.90 8.* .* 9.* 1.8 2.*0   ",&% 

    "%&0    1.21 1.85   2.* 2.62   *. 4.22   .0 9.50 1.9 2.*9   "%&0 "%&%    1.1 1.9 2.*0 2.5* *.5 8.09 .* 9.19 1.*5 25.58   "%&% 

    "'&0    1.1* 1.* 2.2* 2.85 *.5* *.9 .19 .91 15.* 28.8   "'&0 

    "'&%    1.10 1. 2.1 2.* *.8* *.8 .00 .8 15.*5 2*.99   "'&% 

    "&0    1.0 1.* 2.10 2.*1 *.** *.* 5.2 .* 18.90 2*.29   "&0 

    "&%    1.08 1.5 2.08 2.28 *.2* *.2 5. .18 18.8 22.2   "&% 

    "&0    1.01 1.58 1.9 2.1 *.18 *.52 5.50 .92 18.0 21.99   "&0 

    "&%    0.9 1.50 1.9* 2.12 *.0 *.82 5.*5 .0 1*.9 21.80   "&% "*&0    0.9 1.8 1. 2.0 2.9 *.** 5.21 .50 1*.** 20.8   "*&0 

    "*&%    0.9* 1.82 1.* 2.01 2.90 *.25 5.0 .*1 12.99 20.*0   "*&% 

    20&0    0.91 1.*9 1. 1.96   2.* *.1 4.95   .1* 12. 19.9   20&0 2"&0    0. 1.*2 1.0 1. 2.9 *.02 8.1 .9 12.0 1.5   2"&0 

    22&0    0.* 1.2 1.2 1. 2.5 2. 8.50 .8 11.52 1.99   22&0 

    2,&0    0. 1.15 1.8 1.8 2.* 2.8 8.12 5.98 10.5 1.89   2,&0 

    2%&0    0.* 1.11 1.8* 1.5 2.2 2.5* *.9 5.0 10.1* 15.*   2%&0 

    2'&0    0.0 1.0 1.* 1.51 2.1 2.88 *.1 5.8 9.8 15.2*   2'&0 

    2&0    0.5 0.99 1.2 1.80 2.02 2.2 *.5* 5.09 9.05 18.18   2&0 

    +0&0    0.1 0.92 1.19 1.*1 1. 2.11 *.*0 8.5 .85 1*.20   +0&0 

    +2&0    0.5 0. 1.11 1.2* 1. 1.9 *.09 8.85 .92 12.*   +2&0 

    +,&0    0.5* 0.1 1.05 1.15 1. 1. 2.91 8.19 .85 11.8   +,&0 +%&0    0.52 0.9 1.02 1.12 1.2 1.1 2.* 8.0 .28 11.*1   +%&0 

    bitoa 3,4 mm 4,2 mm 3/16 5,0 mm 6,0 mm 6,3 mm 8,0 mm 10,0 mm 12,5 mm 16,0 mm (cm.)   0&+,0 0&,20 0&,' 0&%00 0&'00 0&'+% 0&*, 0&*%+ "&20 "&%  

    0&0* 0&", 0&" 0&20 0&2 0&+2 0&,* 0&" "&2 "&*  

    SEÇÃO DE FERRO POR METRO PARA ESTRIBOS DE DOIS RAMOS %&'2(

    $eçGo ,#1erro (cm2)

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