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  • 8/20/2019 Tablas y Figuras de Tubos

    1/289

    120 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 13

    5

    2.5

    2.6

    2.6

    2.6

    2.4

    2.5

    2.5

    2.6

    2.4

    2.4

    2.4

    2.5

    2.3

    2.4

    2.4

    2.4

    6

    2.6

    2.7

    2.7

    2.8

    2.5

    2.6

    2.6

    2.7

    2.5

    2.5

    2.5

    2.6

    2.4

    2.5

    2.5

    2.5

    7

    2.7

    2.8

    2.8

    2.9

    2.6

    2.7

    2.7

    2.8

    2.6

    2.6

    2.6

    2.7

    2.5

    2.5

    2.5

    2.6

    8

    2.8

    2.9

    2.9

    3.0

    2.7

    2.8

    2.8

    2.9

    2.6

    2.7

    2.7

    2.8

    2.5

    2.6

    2.6

    2.7

    9

    2.9

    3.0

    3.0

    3.1

    2.8

    2.9

    2.9

    3.0

    2.7

    2.8

    2.8

    2.9

    2.6

    2.7

    2.7

    2.7

    10

    3.0

    3.1

    3.1

    3.2

    2.9

    3.0

    3.0

    3.1

    2.8

    2.9

    2.9

    2.9

    2.7

    2.7

    2.7

    2.8

    11

    3.1

    3.2

    3.2

    3.2

    3.0

    3.1

    3.1

    3.2

    2.9

    2.9

    2.9

    3.0

    2.7

    2.8

    2.8

    2.9

    12

    3.2

    3.3

    3.3

    3.3

    3.1

    3.2

    3.2

    3.2

    2.9

    3.0

    3.0

    3.1

    2.8

    2.9

    2.9

    3.0

    13

    3.3

    3.3

    3.3

    3.4

    3.2

    3.2

    3.2

    3.3

    3.0

    3.1

    3.1

    3.2

    2.9

    2.9

    2.9

    3.0

    14

    3.4

    3.4

    3.4

    3.5

    3.2

    3.3

    3.3

    3.4

    3.1

    3.2

    3.2

    3.2

    2.9

    3.0

    3.0

    3.1

    15

    3.4

    3.5

    3.5

    3.6

    3.3

    3.4

    3.4

    3.5

    3.2

    3.2

    3.2

    3.3

    3.0

    3.1

    3.1

    3.2

    16

    3.5

    3.6

    3.6

    3.7

    3.4

    3.5

    3.5

    3.6

    3.2

    3.3

    3.3

    3.4

    3.1

    3.1

    3.1

    3.2

    17

    3.6

    3.7

    3.7

    3.8

    3.5

    3.6

    3.6

    3.6

    3.3

    3.4

    3.4

    3.5

    3.1

    3.2

    3.2

    3.3

    18

    3.7

    3.8

    3.8

    3.8

    3.5

    3.6

    3.6

    3.7

    3.4

    3.4

    3.4

    3.5

    3.2

    3.3

    3.3

    3.3

    19

    3.7

    3.8

    3.8

    3.9

    3.6

    3.7

    3.7

    3.8

    3.4

    3.5

    3.5

    3.6

    3.2

    3.3

    3.3

    3.4

    20

    3.8

    3.9

    3.9

    4.0

    3.7

    3.8

    3.8

    3.9

    3.5

    3.6

    3.6

    3.7

    3.3

    3.4

    3.4

    3.5

    21

    3.9

    4.0

    4.0

    4.1

    3.8

    3.8

    3.8

    3.9

    3.6

    3.6

    3.6

    3.7

    3.3

    3.4

    3.4

    3.5

    22

    4.0

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.0

    3.6

    3.7

    3.7

    3.8

    3.4

    3.5

    3.5

    3.6

    23

    4. 0

    4.1

    4.0

    4.2

    3.9

    4.0

    4.0

    4.1

    3.7

    3.8

    3.8

    3.8

    3.5

    3.5

    3.5

    3.6

    24

    4.1

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.1

    3.7

    3.8

    3.8

    3.9

    3.5

    3.6

    3.6

    3.7

    25

    4.2

    4.3

    4.3

    4.3

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.0

    3.6

    3.6

    3.6

    3.7

    26

    4.2

    4.3

    4.3

    4.4

    4.1

    4.2

    4.2

    4.3

    3.9

    3.9

    3.9

    4.0

    3.6

    3.7

    3.7

    3.8

    27

    4.3

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.1

    3.7

    3.8

    3.8

    3.8

    28

    4.4

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.1

    3.7

    3.8

    3.8

    3.9

    29

    4.4

    4.5

    4.5

    4.6

    4.3

    4.4

    4.4

    4.4

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    3.9

    30

    4.4

    4.5

    4.5

    4.6

    4.3

    4.4

    4.4

    4.4

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    3.9

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    12"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    2/289

    Tables 121

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 14

    5

    2.9

    3.0

    3.0

    3.1

    2.9

    3.0

    3.0

    3.0

    2.8

    2.9

    2.9

    3.0

    2.7

    2.8

    2.8

    2.9

    6

    3.0

    3.1

    3.1

    3.2

    3.0

    3.1

    3.1

    3.2

    2.9

    3.0

    3.0

    3.1

    2.8

    2.9

    2.9

    3.0

    7

    3.1

    3.2

    3.2

    3.3

    3.1

    3.2

    3.2

    3.3

    3.0

    3.1

    3.1

    3.2

    2.9

    3.0

    3.0

    3.1

    8

    3.3

    3.3

    3.3

    3.4

    3.2

    3.3

    3.3

    3.4

    3.1

    3.2

    3.2

    3.2

    3.0

    3.0

    3.0

    3.1

    9

    3.4

    3.4

    3.4

    3.5

    3.3

    3.4

    3.4

    3.5

    3.2

    3.2

    3.2

    3.3

    3.0

    3.1

    3.1

    3.2

    10

    3.5

    3.5

    3.5

    3.6

    3.4

    3.5

    3.5

    3.5

    3.2

    3.3

    3.3

    3.4

    3.1

    3.2

    3.2

    3.3

    11

    3.6

    3.6

    3.6

    3.7

    3.5

    3.5

    3.5

    3.6

    3.3

    3.4

    3.4

    3.5

    3.2

    3.3

    3.3

    3.4

    12

    3.6

    3.7

    3.7

    3.8

    3.5

    3.6

    3.6

    3.7

    3.4

    3.5

    3.5

    3.6

    3.2

    3.3

    3.3

    3.4

    13

    3.7

    3.8

    3.8

    3.9

    3.6

    3.7

    3.7

    3.8

    3.5

    3.6

    3.6

    3.7

    3.3

    3.4

    3.4

    3.5

    14

    3.8

    3.9

    3.9

    4.0

    3.7

    3.8

    3.8

    3.9

    3.6

    3.6

    3.6

    3.7

    3.4

    3.5

    3.5

    3.6

    15

    3.9

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.0

    3.6

    3.7

    3.7

    3.8

    3.5

    3.5

    3.5

    3.6

    16

    4.0

    4.1

    4.1

    4.2

    3.9

    4.0

    4.0

    4.1

    3.7

    3.8

    3.8

    3.9

    3.5

    3.6

    3.6

    3.7

    17

    4.1

    4.2

    4.2

    4.3

    4.0

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.0

    3.6

    3.7

    3.7

    3.8

    18

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.0

    3.6

    3.7

    3.7

    3.8

    19

    4.2

    4.3

    4.3

    4.4

    4.1

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.1

    3.7

    3.8

    3.8

    3.9

    20

    4.3

    4.4

    4.4

    4.5

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.0

    21

    4.4

    4.5

    4.5

    4.6

    4.3

    4.4

    4.4

    4.5

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.0

    22

    4.5

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.1

    23

    4.6

    4.7

    4.7

    4.8

    4.4

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    3.9

    4.0

    4.0

    4.1

    24

    4.6

    4.7

    4.7

    4.8

    4.5

    4.6

    4.6

    4.7

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.2

    25

    4.7

    4.8

    4.8

    4.9

    4.5

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.2

    26

    4.8

    4.9

    4.9

    5.0

    4.6

    4.7

    4.7

    4.8

    4.4

    4.5

    4.5

    4.6

    4.1

    4.2

    4.2

    4.3

    27

    4.8

    5.0

    5.0

    5.1

    4.7

    4.8

    4.8

    4.9

    4.4

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    28

    4.9

    5.0

    5.0

    5.1

    4.7

    4.8

    4.8

    4.9

    4.5

    4.6

    4.6

    4.7

    4.2

    4.3

    4.3

    4.4

    29

    5.0

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.0

    4.5

    4.6

    4.6

    4.8

    4.3

    4.4

    4.4

    4.5

    30

    5.0

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.0

    4.5

    4.6

    4.6

    4.8

    4.3

    4.4

    4.4

    4.5

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    15"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    3/289

    122 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 15

    5

    3.4

    3.5

    3.5

    3.6

    3.3

    3.4

    3.4

    3.5

    3.2

    3.3

    3.3

    3.4

    3.1

    3.2

    3.2

    3.3

    6

    3.5

    3.6

    3.6

    3.7

    3.4

    3.5

    3.5

    3.6

    3.3

    3.4

    3.4

    3.5

    3.2

    3.3

    3.3

    3.4

    7

    3.6

    3.7

    3.7

    3.8

    3.5

    3.6

    3.6

    3.7

    3.4

    3.5

    3.5

    3.6

    3.3

    3.4

    3.4

    3.5

    8

    3.7

    3.8

    3.8

    3.9

    3.6

    3.7

    3.7

    3.8

    3.5

    3.6

    3.6

    3.7

    3.4

    3.5

    3.5

    3.6

    9

    3.8

    3.9

    3.9

    4.0

    3.7

    3.8

    3.8

    3.9

    3.6

    3.7

    3.7

    3.8

    3.5

    3.6

    3.6

    3.7

    10

    3.9

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.0

    3.7

    3.8

    3.8

    3.9

    3.5

    3.6

    3.6

    3.7

    11

    4.0

    4.1

    4.1

    4.2

    3.9

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.0

    3.6

    3.7

    3.7

    3.8

    12

    4.1

    4.2

    4.2

    4.3

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.1

    3.7

    3.8

    3.8

    3.9

    13

    4.2

    4.3

    4.3

    4.4

    4.1

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.0

    14

    4.3

    4.4

    4.4

    4.5

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.0

    15

    4.4

    4.5

    4.5

    4.6

    4.3

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.1

    16

    4.5

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.6

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.2

    17

    4.6

    4.7

    4.7

    4.8

    4.4

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.2

    18

    4.6

    4.8

    4.8

    4.9

    4.5

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.3

    19

    4.7

    4.8

    4.8

    5.0

    4.6

    4.7

    4.7

    4.8

    4.4

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    20

    4.8

    4.9

    4.9

    5.0

    4.7

    4.8

    4.8

    4.9

    4.4

    4.6

    4.6

    4.7

    4.2

    4.3

    4.3

    4.4

    21

    4.9

    5.0

    5.0

    5.1

    4.7

    4.9

    4.9

    5.0

    4.5

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.5

    22

    5.0

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.0

    4.6

    4.7

    4.7

    4.8

    4.3

    4.5

    4.5

    4.6

    23

    5.1

    5.2

    5.2

    5.3

    4.9

    5.0

    5.0

    5.1

    4.7

    4.8

    4.8

    4.9

    4.4

    4.5

    4.5

    4.6

    24

    5.1

    5.3

    5.3

    5.4

    5.0

    5.1

    5.1

    5.2

    4.7

    4.8

    4.8

    5.0

    4.5

    4.6

    4.6

    4.7

    25

    5.2

    5.3

    5.3

    5.5

    5.0

    5.2

    5.2

    5.3

    4.8

    4.9

    4.9

    5.0

    4.5

    4.6

    4.6

    4.8

    26

    5.3

    5.4

    5.4

    5.5

    5.1

    5.2

    5.2

    5.3

    4.9

    5.0

    5.0

    5.1

    4.6

    4.7

    4.7

    4.8

    27

    5.4

    5.5

    5.5

    5.6

    5.2

    5.3

    5.3

    5.4

    4.9

    5.0

    5.0

    5.2

    4.6

    4.8

    4.8

    4.9

    28

    5.4

    5.6

    5.6

    5.7

    5.3

    5.4

    5.4

    5.5

    5.0

    5.1

    5.1

    5.2

    4.7

    4.8

    4.8

    4.9

    29

    5.5

    5.6

    5.6

    5.8

    5.3

    5.4

    5.4

    5.6

    5.0

    5.2

    5.2

    5.3

    4.8

    4.9

    4.9

    5.0

    30

    5.5

    5.6

    5.6

    5.8

    5.3

    5.4

    5.4

    5.6

    5.0

    5.2

    5.2

    5.3

    4.8

    4.9

    4.9

    5.0

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    18"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

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    Tables 123

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 16

    5

    3.8

    3.9

    3.9

    4.0

    3.7

    3.8

    3.8

    4.0

    3.6

    3.8

    3.8

    3.9

    3.6

    3.7

    3.7

    3.8

    6

    3.9

    4.0

    4.0

    4.1

    3.8

    3.9

    3.9

    4.1

    3.7

    3.9

    3.9

    4.0

    3.6

    3.8

    3.8

    3.9

    7

    4.0

    4.1

    4.1

    4.2

    3.9

    4.1

    4.1

    4.2

    3.8

    3.9

    3.9

    4.1

    3.7

    3.8

    3.8

    4.0

    8

    4.1

    4.2

    4.2

    4.4

    4.0

    4.2

    4.2

    4.3

    3.9

    4.0

    4.0

    4.2

    3.8

    3.9

    3.9

    4.0

    9

    4.2

    4.4

    4.4

    4.5

    4.1

    4.3

    4.3

    4.4

    4.0

    4.1

    4.1

    4.3

    3.9

    4.0

    4.0

    4.1

    10

    4.3

    4.5

    4.5

    4.6

    4.2

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.3

    4.0

    4.1

    4.1

    4.2

    11

    4.4

    4.6

    4.6

    4.7

    4.3

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    4.0

    4.2

    4.2

    4.3

    12

    4.5

    4.7

    4.7

    4.8

    4.4

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.5

    4.1

    4.2

    4.2

    4.4

    13

    4.6

    4.8

    4.8

    4.9

    4.5

    4.6

    4.6

    4.8

    4.4

    4.5

    4.5

    4.6

    4.2

    4.3

    4.3

    4.4

    14

    4.7

    4.9

    4.9

    5.0

    4.6

    4.7

    4.7

    4.9

    4.4

    4.6

    .46

    4.7

    4.3

    4.4

    4.4

    4.5

    15

    4.8

    5.0

    5.0

    5.1

    4.7

    4.8

    4.8

    5.0

    4.5

    4.6

    4.6

    4.8

    4.3

    4.5

    4.5

    4.6

    16

    4.9

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.0

    4.6

    4.7

    4.7

    4.8

    4.4

    4.5

    4.5

    4.6

    17

    5.0

    5.2

    5.2

    5.3

    4.9

    5.0

    5.0

    5.1

    4.7

    4.8

    4.8

    4.9

    4.5

    4.6

    4.6

    4.7

    18

    5.1

    5.2

    5.2

    5.4

    5.0

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.0

    4.5

    4.7

    4.7

    4.8

    19

    5.2

    5.3

    5.3

    5.5

    5.1

    5.2

    5.2

    5.3

    4.8

    5.0

    5.0

    5.1

    4.6

    4.7

    4.7

    4.9

    20

    5.3

    5.4

    5.4

    5.6

    5.1

    5.3

    5.3

    5.4

    4.9

    5.0

    5.0

    5.2

    4.7

    4.8

    4.8

    4.9

    21

    5.4

    5.5

    5.5

    5.6

    5.2

    5.3

    5.3

    5.5

    5.0

    5.1

    5.1

    5.2

    4.7

    4.9

    4.9

    5.0

    22

    5.5

    5.6

    5.6

    5.7

    5.3

    5.4

    5.4

    5.6

    5.1

    5.2

    5.2

    5.3

    4.8

    4.9

    4.9

    5.1

    23

    5.5

    5.7

    5.7

    5.8

    5.4

    5.5

    5.5

    5.6

    5.1

    5.3

    5.3

    5.4

    4.9

    5.0

    5.0

    5.1

    24

    5.6

    5.8

    5.8

    5.9

    5.4

    5.6

    5.6

    5.7

    5.2

    5.3

    5.3

    5.5

    4.9

    5.1

    5.1

    5.2

    25

    5.7

    5.8

    5.8

    6.0

    5.5

    5.7

    5.7

    5.8

    5.3

    5.4

    5.4

    5.5

    5.0

    5.1

    5.1

    5.2

    26

    5.8

    5.9

    5.9

    6.1

    5.6

    5.7

    5.7

    5.9

    5.3

    5.5

    5.5

    5.6

    5.1

    5.2

    5.2

    5.3

    27

    5.9

    6.0

    6.0

    6.1

    5.7

    5.8

    5.8

    5.9

    5.4

    5.5

    5.5

    5.7

    5.1

    5.2

    5.2

    5.4

    28

    6.0

    6.1

    6.1

    6.2

    5.7

    5.9

    5.9

    6.0

    5.5

    5.6

    5.6

    5.7

    5.2

    5.3

    5.3

    5.4

    29

    6.0

    6.2

    6.2

    6.3

    5.8

    6.0

    6.0

    6.1

    5.5

    5.7

    5.7

    5.8

    5.2

    5.4

    5.4

    5.5

    30

    6.0

    6.2

    6.2

    6.3

    5.8

    6.0

    6.0

    6.1

    5.5

    5.7

    5.7

    5.8

    5.2

    5.4

    5.4

    5.5

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    21"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

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    124 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 17

    5

    4.2

    4.3

    4.3

    4.5

    4.1

    4.3

    4.3

    4.4

    4.1

    4.2

    4.2

    4.3

    4.0

    4.1

    4.1

    4.2

    6

    4.3

    4.5

    4.5

    4.6

    4.2

    4.4

    4.4

    4.5

    4.2

    4.3

    4.3

    4.4

    4.1

    4.2

    4.2

    4.3

    7

    4.4

    4.6

    4.6

    4.7

    4.4

    4.5

    4.5

    4.6

    4.3

    4.4

    4.4

    4.5

    4.1

    4.3

    4.3

    4.4

    8

    4.6

    4.7

    4.7

    4.8

    4.5

    4.6

    4.6

    4.7

    4.3

    4.5

    4.5

    4.6

    4.2

    4.4

    4.4

    4.5

    9

    4.7

    4.8

    4.8

    4.9

    4.6

    4.7

    4.7

    4.8

    4.4

    4.6

    4.6

    4.7

    4.3

    4.4

    4.4

    4.6

    10

    4.8

    4.9

    4.9

    5.0

    4.7

    4.8

    4.8

    4.9

    4.5

    4.7

    4.7

    4.8

    4.4

    4.5

    4.5

    4.6

    11

    4.9

    5.0

    5.0

    5.2

    4.8

    4.9

    4.9

    5.0

    4.6

    4.8

    4.8

    4.9

    4.5

    4.6

    4.6

    4.7

    12

    5.0

    5.1

    5.1

    5.3

    4.9

    5.0

    5.0

    5.1

    4.7

    4.8

    4.8

    5.0

    4.5

    4.7

    4.7

    4.8

    13

    5.1

    5.2

    5.2

    5.4

    5.0

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.1

    4.6

    4.7

    4.7

    4.9

    14

    5.2

    5.3

    5.3

    5.5

    5.1

    5.2

    5.2

    5.3

    4.9

    5.0

    5.0

    5.2

    4.7

    4.8

    4.8

    5.0

    15

    5.3

    5.4

    5.4

    5.6

    5.2

    5.3

    5.3

    5.4

    5.0

    5.1

    5.1

    5.2

    4.8

    4.9

    4.9

    5.0

    16

    5.4

    5.5

    5.5

    5.7

    5.2

    5.4

    5.4

    5.5

    5.0

    5.2

    5.2

    5.3

    4.8

    5.0

    5.0

    5.1

    17

    5.5

    5.6

    5.6

    5.8

    5.3

    5.5

    5.5

    5.6

    5.1

    5.3

    5.3

    5.4

    4.9

    5.0

    5.0

    5.2

    18

    5.6

    5.7

    5.7

    5.9

    5.4

    5.6

    5.6

    5.7

    5.2

    5.3

    5.3

    5.5

    5.0

    5.1

    5.1

    5.3

    19

    5.7

    5.8

    5.8

    6.0

    5.5

    5.7

    5.7

    5.8

    5.3

    5.4

    5.4

    5.6

    5.0

    5.2

    5.2

    5.3

    20

    5.8

    5.9

    5.9

    6.1

    5.6

    5.7

    5.7

    5.9

    5.4

    5.5

    5.5

    5.6

    5.1

    5.3

    5.3

    5.4

    21

    5.9

    6.0

    6.0

    6.1

    5.7

    5.8

    5.8

    6.0

    5.4

    5.6

    5.6

    5.7

    5.2

    5.3

    5.3

    5.5

    22

    5.9

    6.1

    6.1

    6.2

    5.8

    5.9

    5.9

    6.0

    5.5

    5.7

    5.7

    5.8

    5.3

    5.4

    5.4

    5.5

    23

    6.0

    6.2

    6.2

    6.3

    5.8

    6.0

    6.0

    6.1

    5.6

    5.7

    5.7

    5.9

    5.3

    5.5

    5.5

    5.6

    24

    6.1

    6.3

    6.3

    6.4

    5.9

    6.1

    6.1

    6.2

    5.7

    5.8

    5.8

    5.9

    5.4

    5.5

    5.5

    5.7

    25

    6.2

    6.3

    6.3

    6.5

    6.0

    6.2

    6.2

    6.3

    5.7

    5.9

    5.9

    6.0

    5.4

    5.6

    5.6

    5.7

    26

    6.3

    6.4

    6.4

    6.6

    6.1

    6.2

    6.2

    6.4

    5.8

    5.9

    5.9

    6.1

    5.5

    5.7

    5.7

    5.8

    27

    6.4

    6.5

    6.5

    6.7

    6.2

    6.3

    6.3

    6.5

    5.9

    6.0

    6.0

    6.2

    5.6

    5.7

    5.7

    5.9

    28

    6.4

    6.6

    6.6

    6.8

    6.2

    6.4

    6.4

    6.5

    5.9

    6.1

    6.1

    6.2

    5.6

    5.8

    5.8

    5.9

    29

    6.5

    6.7

    6.7

    6.8

    6.3

    6.5

    6.5

    6.6

    6.0

    6.2

    6.2

    6.3

    5.7

    5.8

    5.8

    6.0

    30

    6.5

    6.7

    6.7

    6.8

    6.3

    6.5

    6.5

    6.6

    6.0

    6.2

    6.2

    6.3

    5.7

    5.8

    5.8

    6.0

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    24"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    6/289

    Tables 125

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 18

    5

    4.6

    4.8

    4.8

    4.9

    4.6

    4.7

    4.7

    4.9

    4.5

    4.6

    4.6

    4.8

    4.4

    4.5

    4.5

    4.7

    6

    4.7

    4.9

    4.9

    5.0

    4.7

    4.8

    4.8

    5.0

    4.6

    4.7

    4.7

    4.9

    4.5

    4.6

    4.6

    4.8

    7

    4.9

    5.0

    5.0

    5.2

    4.8

    4.9

    4.9

    5.1

    4.7

    4.8

    4.8

    5.0

    4.6

    4.7

    4.7

    4.9

    8

    5.0

    5.1

    5.1

    5.3

    4.9

    5.0

    5.0

    5.2

    4.8

    4.9

    4.9

    5.1

    4.6

    4.8

    4.8

    4.9

    9

    5.1

    5.2

    5.2

    5.4

    5.0

    5.1

    5.1

    5.3

    4.9

    5.0

    5.0

    5.2

    4.7

    4.9

    4.9

    5.0

    10

    5.2

    5.4

    5.4

    5.5

    5.1

    5.2

    5.2

    5.4

    5.0

    5.1

    5.1

    5.3

    4.8

    5.0

    5.0

    5.1

    11

    5.3

    5.5

    5.5

    5.6

    5.2

    5.4

    5.4

    5.5

    5.0

    5.2

    5.2

    5.3

    4.9

    5.0

    5.0

    5.2

    12

    5.4

    5.6

    5.6

    5.7

    5.3

    5.5

    5.5

    5.6

    5.1

    5.3

    5.3

    5.4

    5.0

    5.1

    5.1

    5.3

    13

    5.5

    5.7

    5.7

    5.8

    5.4

    5.6

    5.6

    5.7

    5.2

    5.4

    5.4

    5.5

    5.0

    5.2

    5.2

    5.3

    14

    5.6

    5.8

    5.8

    5.9

    5.5

    5.7

    5.7

    5.8

    5.3

    5.5

    5.5

    5.6

    5.1

    5.3

    5.3

    5.4

    15

    5.7

    5.9

    5.9

    6.0

    5.6

    5.7

    5.7

    5.9

    5.4

    5.5

    5.5

    5.7

    5.2

    5.3

    5.3

    5.5

    16

    5.8

    6.0

    6.0

    6.1

    5.7

    5.8

    5.8

    6.0

    5.5

    5.6

    5.6

    5.8

    5.3

    5.4

    5.4

    5.6

    17

    5.9

    6.1

    6.1

    6.2

    5.8

    5.9

    5.9

    6.1

    5.6

    5.7

    5.7

    5.9

    5.3

    5.5

    5.5

    5.6

    18

    6.0

    6.2

    6.2

    6.3

    5.9

    6.0

    6.0

    6.2

    5.6

    5.8

    5.8

    6.0

    5.4

    5.6

    5.6

    5.7

    19

    6.1

    6.3

    6.3

    6.4

    6.0

    6.1

    6.1

    6.3

    5.7

    5.9

    5.9

    6.0

    5.5

    5.6

    5.6

    5.8

    20

    6.2

    6.4

    6.4

    6.5

    6.0

    6.2

    6.2

    6.4

    5.8

    6.0

    6.0

    6.1

    5.6

    5.7

    5.7

    5.9

    21

    6.3

    6.5

    6.5

    6.6

    6.1

    6.3

    6.3

    6.5

    5.9

    6.0

    6.0

    6.2

    5.6

    5.8

    5.8

    5.9

    22

    6.4

    6.6

    6.6

    6.7

    6.2

    6.4

    6.4

    6.5

    6.0

    6.1

    6.1

    6.3

    5.7

    5.8

    5.8

    6.0

    23

    6.5

    6.7

    6.7

    6.8

    6.3

    6.5

    6.5

    6.6

    6.0

    6.2

    6.2

    6.4

    5.8

    5.9

    5.9

    6.1

    24

    6.6

    6.7

    6.7

    6.9

    6.4

    6.5

    6.5

    6.7

    6.1

    6.3

    6.3

    6.4

    5.8

    6.0

    6.0

    6.1

    25

    6.7

    6.8

    6.8

    7.0

    6.5

    6.6

    6.6

    6.8

    6.2

    6.3

    6.3

    6.5

    5.9

    6.1

    6.1

    6.2

    26

    6.8

    6.9

    6.9

    7.1

    6.6

    6.7

    6.7

    6.9

    6.3

    6.4

    6.4

    6.6

    6.0

    6.1

    6.1

    6.3

    27

    6.8

    7.0

    7.0

    7.2

    6.6

    6.8

    6.8

    7.0

    6.3

    6.5

    6.5

    6.7

    6.0

    6.2

    6.2

    6.3

    28

    6.9

    7.1

    7.1

    7.3

    6.7

    6.9

    6.9

    7.0

    6.4

    6.6

    6.6

    6.7

    6.1

    6.2

    6.2

    6.4

    29

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.1

    6.5

    6.6

    6.6

    6.8

    6.2

    6.3

    6.3

    6.5

    30

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.1

    6.5

    6.6

    6.6

    6.8

    6.2

    6.3

    6.3

    6.5

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    27"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

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    126 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 19

    5

    5.0

    5.2

    5.2

    5.4

    5.0

    5.1

    5.1

    5.3

    4.9

    5.1

    5.1

    5.2

    4.8

    5.0

    5.0

    5.1

    6

    5.2

    5.3

    5.3

    5.5

    5.1

    5.3

    5.3

    5.4

    5.0

    5.2

    5.2

    5.3

    4.9

    5.1

    5.1

    5.2

    7

    5.3

    5.4

    5.4

    5.6

    5.2

    5.4

    5.4

    5.5

    5.1

    5.3

    5.3

    5.4

    5.0

    5.1

    5.1

    5.3

    8

    5.4

    5.6

    5.6

    5.7

    5.3

    5.5

    5.5

    5.6

    5.2

    5.4

    5.4

    5.5

    5.1

    5.2

    5.2

    5.4

    9

    5.5

    5.7

    5.7

    5.8

    5.4

    5.6

    5.6

    5.7

    5.3

    5.4

    5.4

    5.6

    5.1

    5.3

    5.3

    5.5

    10

    5.6

    5.8

    5.8

    6.0

    5.5

    5.7

    5.7

    5.9

    5.4

    5.5

    5.5

    5.7

    5.2

    5.4

    5.4

    5.5

    11

    5.7

    5.9

    5.9

    6.1

    5.6

    5.8

    5.8

    6.0

    5.5

    5.6

    5.6

    5.8

    5.3

    5.5

    5.5

    5.6

    12

    5.9

    6.0

    6.0

    6.2

    5.7

    5.9

    5.9

    6.1

    5.6

    5.7

    5.7

    5.9

    5.4

    5.5

    5.5

    5.7

    13

    6.0

    6.1

    6.1

    6.3

    5.8

    6.0

    6.0

    6.2

    5.7

    5.8

    5.8

    6.0

    5.5

    5.6

    5.6

    5.8

    14

    6.1

    6.2

    6.2

    6.4

    5.9

    6.1

    6.1

    6.3

    5.7

    5.9

    5.9

    6.1

    5.5

    5.7

    5.7

    5.9

    15

    6.2

    6.3

    6.3

    6.5

    6.0

    6.2

    6.2

    6.4

    5.8

    6.0

    6.0

    6.2

    5.6

    5.8

    5.8

    5.9

    16

    6.3

    6.4

    6.4

    6.6

    6.1

    6.3

    6.3

    6.5

    5.9

    6.1

    6.1

    6.2

    5.7

    5.9

    5.9

    6.0

    17

    6.4

    6.6

    6.6

    6.7

    6.2

    6.4

    6.4

    6.6

    6.0

    6.2

    6.2

    6.3

    5.8

    5.9

    5.9

    6.1

    18

    6.5

    6.7

    6.7

    6.8

    6.3

    6.5

    6.5

    6.7

    6.1

    6.3

    6.3

    6.4

    5.8

    6.0

    6.0

    6.2

    19

    6.6

    6.8

    6.8

    6.9

    6.4

    6.6

    6.6

    6.7

    6.2

    6.3

    6.3

    6.5

    5.9

    6.1

    6.1

    6.3

    20

    6.7

    6.9

    6.9

    7.0

    6.5

    6.7

    6.7

    6.8

    6.2

    6.4

    6.4

    6.6

    6.0

    6.2

    6.2

    6.3

    21

    6.8

    6.9

    6.9

    7.1

    6.6

    6.8

    6.8

    6.9

    6.3

    6.5

    6.5

    6.7

    6.1

    6.2

    6.2

    6.4

    22

    6.9

    7.0

    7.0

    7.2

    6.7

    6.8

    6.8

    7.0

    6.4

    6.6

    6.6

    6.8

    6.1

    6.3

    6.3

    6.5

    23

    7.0

    7.1

    7.1

    7.3

    6.8

    6.9

    6.9

    7.1

    6.5

    6.7

    6.7

    6.8

    6.2

    6.4

    6.4

    6.5

    24

    7.1

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.2

    6.6

    6.7

    6.7

    6.9

    6.3

    6.4

    6.4

    6.6

    25

    7.1

    7.3

    7.3

    7.5

    6.9

    7.1

    7.1

    7.3

    6.6

    6.8

    6.8

    7.0

    6.3

    6.5

    6.5

    6.7

    26

    7.2

    7.4

    7.4

    7.6

    7.0

    7.2

    7.2

    7.4

    6.7

    6.9

    6.9

    7.1

    6.4

    6.6

    6.6

    6.7

    27

    7.3

    7.5

    7.5

    7.7

    7.1

    7.3

    7.3

    7.5

    6.8

    7.0

    7.0

    7.1

    6.5

    6.6

    6.6

    6.8

    28

    7.4

    7.6

    7.6

    7.8

    7.2

    7.4

    7.4

    7.5

    6.9

    7.0

    7.0

    7.2

    6.5

    6.7

    6.7

    6.9

    29

    7.5

    7.7

    7.7

    7.9

    7.3

    7.4

    7.4

    7.6

    6.9

    7.1

    7.1

    7.3

    6.6

    6.8

    6.8

    6.9

    30

    7.5

    7.7

    7.7

    7.9

    7.3

    7.4

    7.4

    7.6

    6.9

    7.1

    7.1

    7.3

    6.6

    6.8

    6.8

    6.9

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    30"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    8/289

    Tables 127

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 20

    5

    5.5

    5.6

    5.6

    5.8

    5.4

    5.6

    5.6

    5.8

    5.3

    5.5

    5.5

    5.7

    5.2

    5.4

    5.4

    5.6

    6

    5.6

    5.8

    5.8

    5.9

    5.5

    5.7

    5.7

    5.9

    5.4

    5.6

    5.6

    5.8

    5.3

    5.5

    5.5

    5.7

    7

    5.7

    5.9

    5.9

    6.1

    5.6

    5.8

    5.8

    6.0

    5.5

    5.7

    5.7

    5.9

    5.4

    5.6

    5.6

    5.8

    8

    5.8

    6.0

    6.0

    6.2

    5.7

    5.9

    5.9

    6.1

    5.6

    5.8

    5.8

    6.0

    5.5

    5.7

    5.7

    5.8

    9

    5.9

    6.1

    6.1

    6.3

    5.8

    6.0

    6.0

    6.2

    5.7

    5.9

    5.9

    6.1

    5.6

    5.7

    5.7

    5.9

    10

    6.1

    6.2

    6.2

    6.4

    5.9

    6.1

    6.1

    6.3

    5.8

    6.0

    6.0

    6.2

    5.6

    5.8

    5.8

    6.0

    11

    6.2

    6.4

    6.4

    6. 5

    6.1

    6.2

    6.2

    6.4

    5.9

    6.1

    6.1

    6.3

    5.7

    5.9

    5.9

    6.1

    12

    6.3

    6.5

    6.5

    6.7

    6.2

    6.3

    6.3

    6.5

    6.0

    6.2

    6.2

    6.3

    5.8

    6.0

    6.0

    6.2

    13

    6.4

    6.6

    6.6

    6.8

    6.3

    6.4

    6.4

    6.6

    6.1

    6.3

    6.3

    6.4

    5.9

    6.1

    6.1

    6.2

    14

    6.5

    6.7

    6.7

    6.9

    6.4

    6.5

    6.5

    6.7

    6.2

    6.3

    6.3

    6.5

    6.0

    6.1

    6.1

    6.3

    15

    6.6

    6.8

    6.8

    7.0

    6.5

    6.6

    6.6

    6.8

    6.3

    6.4

    6.4

    6.6

    6.0

    6.2

    6.2

    6.4

    16

    6.7

    6.9

    6.9

    7.1

    6.6

    6.7

    6.7

    6.9

    6.3

    6.5

    6.5

    6.7

    6.1

    6.3

    6.3

    6.5

    17

    6.8

    7.0

    7.0

    7.2

    6.7

    6.8

    6.8

    7.0

    6.4

    6.6

    6.6

    6.8

    6.2

    6.4

    6.4

    6.6

    18

    6.9

    7.1

    7.1

    7.3

    6.8

    6.9

    6.9

    7.1

    6.5

    6.7

    6.7

    6.9

    6.3

    6.5

    6.5

    6.6

    19

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.2

    6.6

    6.8

    6.8

    7.0

    6.3

    6.5

    6.5

    6.7

    20

    7.1

    7.3

    7.3

    7.5

    6.9

    7.1

    7.1

    7.3

    6.7

    6.9

    6.9

    7.1

    6.4

    6.6

    6.6

    6.8

    21

    7.2

    7.4

    7.4

    7.6

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.1

    6.5

    6.7

    6.7

    6.9

    22

    7.3

    7.5

    7.5

    7.7

    7.1

    7.3

    7.3

    7.5

    6.9

    7.0

    7.0

    7.2

    6.6

    6.7

    6.7

    6.9

    23

    7.4

    7.6

    7.6

    7.8

    7.2

    7.4

    7.4

    7.6

    6.9

    7.1

    7.1

    7.3

    6.6

    6.8

    6.8

    7.0

    24

    7.5

    7.7

    7.7

    7.9

    7.3

    7.5

    7.5

    7.7

    7.0

    7.2

    7.2

    7.4

    6.7

    6.9

    6.9

    7.1

    25

    7.6

    7.8

    7.8

    8.0

    7.4

    7.6

    7.6

    7.8

    7.1

    7.3

    7.3

    7.5

    6.8

    7.0

    7.0

    7.1

    26

    7.7

    7.9

    7.9

    8.1

    7.5

    7.7

    7.7

    7.9

    7.2

    7.4

    7.4

    7.5

    6.8

    7.0

    7.0

    7.2

    27

    7.8

    8.0

    8.0

    8.2

    7.6

    7.8

    7.8

    7.9

    7.2

    7.4

    7.4

    7.6

    6.9

    7.1

    7.1

    7.3

    28

    7.9

    8.1

    8.1

    8.3

    7.6

    7.8

    7.8

    8.0

    7.3

    7.5

    7.5

    7.7

    7.0

    7.1

    7.2

    7.4

    29

    8.0

    8.2

    8.2

    8.4

    7.7

    7.9

    7.9

    8.1

    7.4

    7.6

    7.6

    7.8

    7.1

    7.2

    7.2

    7.4

    30

    8.0

    8.2

    8.2

    8.4

    7.7

    7.9

    7.9

    8.1

    7.4

    7.6

    7.6

    7.8

    7.1

    7.2

    7.2

    7.4

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    33"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    9/289

    128 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 21

    5

    5.9

    6.1

    6.1

    6.3

    5.8

    6.0

    6.0

    6.2

    5.7

    5.9

    5.9

    6.1

    5.6

    5.8

    5.8

    6.0

    6

    6.0

    6.2

    6.2

    6.4

    5.9

    6.1

    6.1

    6.3

    5.8

    6.0

    6.0

    6.2

    5.7

    5.9

    5.9

    6.1

    7

    6.1

    6.3

    6.3

    6.5

    6.0

    6.2

    6.2

    6.4

    5.9

    6.1

    6.1

    6.3

    5.8

    6.0

    6.0

    6.2

    8

    6.2

    6.4

    6.4

    6.6

    6.2

    6.3

    6.3

    6.5

    6.0

    6.2

    6.2

    6.4

    5.9

    6.1

    6.1

    6.3

    9

    6.4

    6.6

    6.6

    6.8

    6.3

    6.5

    6.5

    6.7

    6.1

    6.3

    6.3

    6.5

    6.0

    6.2

    6.2

    6.4

    10

    6.5

    6.7

    6.7

    6.9

    6.4

    6.6

    6.6

    6.8

    6.2

    6.4

    6.4

    6.6

    6.1

    6.3

    6.3

    6.4

    11

    6.6

    6.8

    6.8

    7.0

    6.5

    6.7

    6.7

    6.9

    6.3

    6.5

    6.5

    6.7

    6.1

    6.3

    6.3

    6.5

    12

    6.7

    6.9

    6.9

    7.1

    6.6

    6.8

    6.8

    7.0

    6.4

    6.6

    6.6

    6.8

    6.2

    6.4

    6.4

    6.6

    13

    6.8

    7.0

    7.0

    7.2

    6.7

    6.9

    6.9

    7.1

    6.5

    6.7

    6.7

    6.9

    6.3

    6.5

    6.5

    6.7

    14

    6.9

    7.1

    7.1

    7.3

    6.8

    7.0

    7.0

    7.2

    6.6

    6.8

    6.8

    7.0

    6.4

    6.6

    6.6

    6.8

    15

    7.0

    7.2

    7.2

    7.4

    6.9

    7.1

    7.1

    7.3

    6.7

    6.9

    6.9

    7.1

    6.5

    6.7

    6.7

    6.9

    16

    7.2

    7.4

    7.4

    7.6

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.2

    6.5

    6.7

    6.7

    6.9

    17

    7.3

    7.5

    7.5

    7.7

    7.1

    7.3

    7.3

    7.5

    6.9

    7.1

    7.1

    7.3

    6.6

    6.8

    6.8

    7.0

    18

    7.4

    7.6

    7.6

    7.8

    7.2

    7.4

    7.4

    7.6

    6.9

    7.1

    7.1

    7.3

    6.7

    6.9

    6.9

    7.1

    19

    7.5

    7.7

    7.7

    7.9

    7.3

    7.5

    7.5

    7.7

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.2

    20

    7.6

    7.8

    7.8

    8.0

    7.4

    7.6

    7.6

    7.8

    7.1

    7.3

    7.3

    7.5

    6.9

    7.0

    7.0

    7.2

    21

    7.7

    7.9

    7.9

    8.1

    7.5

    7.7

    7.7

    7.9

    7.2

    7.4

    7.4

    7.6

    6.9

    7.1

    7.1

    7.3

    22

    7.8

    8.0

    8.0

    8.2

    7.6

    7.8

    7.8

    8.0

    7.3

    7.5

    7.5

    7.7

    7.0

    7.2

    7.2

    7.4

    23

    7.9

    8.1

    8.1

    8.3

    7.7

    7.9

    7.9

    8.1

    7.4

    7.6

    7.6

    7.8

    7.1

    7.3

    7.3

    7.5

    24

    8.0

    8.2

    8.2

    8.4

    7.7

    8.0

    8.0

    8.2

    7.5

    7.7

    7.7

    7.9

    7.1

    7.3

    7.3

    7.5

    25

    8.1

    8.3

    8.3

    8.5

    7.8

    8.0

    8.0

    8.2

    7.5

    7.7

    7.7

    7.9

    7.2

    7.4

    7.4

    7.6

    26

    8.2

    8.4

    8.4

    8.6

    7.9

    8.1

    8.1

    8.3

    7.6

    7.8

    7.8

    8.0

    7.3

    7.5

    7.5

    7.7

    27

    8.2

    8.5

    8.5

    8.7

    8.0

    8.2

    8.2

    8.4

    7.7

    7.9

    7.9

    8.1

    7.4

    7.6

    7.6

    7.8

    28

    8.3

    8.6

    8.6

    8.8

    8.1

    8.3

    8.3

    8.5

    7.8

    8.0

    8.0

    8.2

    7.4

    7.6

    7.6

    7.8

    29

    8.4

    8.6

    8.6

    8.9

    8.2

    8.4

    8.4

    8.6

    7.8

    8.1

    8.1

    8.3

    7.5

    7.7

    7.7

    7.9

    30

    8.4

    8.6

    8.6

    8.9

    8.2

    8.4

    8.4

    8.6

    7.8

    8.1

    8.1

    8.3

    7.5

    7.7

    7.7

    7.9

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    36"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    10/289

    Tables 129

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 22

    5

    6.7

    7.0

    7.0

    7.2

    6.7

    6.9

    6.9

    7.1

    6.6

    6.8

    6.8

    7.0

    6.5

    6.7

    6.7

    7.0

    6

    6.9

    7.1

    7.1

    7.3

    6.8

    7.0

    7.0

    7.2

    6.7

    6.9

    6.9

    7.1

    6.6

    6.8

    6.8

    7.0

    7

    7.0

    7.2

    7.2

    7.4

    6.9

    7.1

    7.1

    7.3

    6.8

    7.0

    7.0

    7.2

    6.6

    6.9

    6.9

    7.1

    8

    7.1

    7.3

    7.3

    7.5

    7.0

    7.2

    7.2

    7.5

    6.9

    7.1

    7.1

    7.3

    6.7

    7.0

    7.0

    7.2

    9

    7.2

    7.4

    7.4

    7.7

    7.1

    7.3

    7.3

    7.6

    7.0

    7.2

    7.2

    7.4

    6.8

    7.0

    7.0

    7.3

    10

    7.3

    7.6

    7.6

    7.8

    7.2

    7.4

    7.4

    7.7

    7.1

    7.3

    7.3

    7.5

    6.9

    7.1

    7.1

    7.3

    11

    7.4

    7.7

    7.7

    7.9

    7.3

    7.6

    7.6

    7.8

    7.2

    7.4

    7.4

    7.6

    7.0

    7.2

    7.2

    7.4

    12

    7.6

    7.8

    7.8

    8.0

    7.4

    7.7

    7.7

    7.9

    7.2

    7.5

    7.5

    7.7

    7.1

    7.3

    7.3

    7.5

    13

    7.7

    7.9

    7.9

    8.1

    7.5

    7.8

    7.8

    8.0

    7.3

    7.6

    7.6

    7.8

    7.1

    7.4

    7.4

    7.6

    14

    7.8

    8.0

    8.0

    8.3

    7.6

    7.9

    7.9

    8.1

    7.4

    7.7

    7.7

    7.9

    7.2

    7.5

    7.5

    7.7

    15

    7.9

    8.1

    8.1

    8.4

    7.7

    8.0

    8.0

    8.2

    7.5

    7.8

    7.8

    8.0

    7.3

    7.5

    7.5

    7.8

    16

    8.0

    8.2

    8.2

    8.5

    7.9

    8.1

    8.1

    8.3

    7.6

    7.9

    7.9

    8.1

    7.4

    7.6

    7.6

    7.8

    17

    8.1

    8.4

    8.4

    8.6

    8.0

    8.2

    8.2

    8.4

    7.7

    7.9

    7.9

    8.2

    7.5

    7.7

    7.7

    7.9

    18

    8.2

    8.5

    8.5

    8.7

    8.1

    8.3

    8.3

    8.5

    7.8

    8.0

    8.0

    8.3

    7.5

    7.8

    7.8

    8.0

    19

    8.3

    8.6

    8.6

    8.8

    8.2

    8.4

    8.4

    8.6

    7.9

    8.1

    8.1

    8.4

    7.6

    7.9

    7.9

    8.1

    20

    8.4

    8.7

    8.7

    8.9

    8.3

    8.5

    8.5

    8.7

    8.0

    8.2

    8.2

    8.4

    7.7

    7.9

    7.9

    8.2

    21

    8.6

    8.8

    8.8

    9.0

    8.4

    8.6

    8.6

    8.8

    8.1

    8.3

    8.3

    8.5

    7.8

    8.0

    8.0

    8.2

    22

    8.7

    8.9

    8.9

    9.1

    8.4

    8.7

    8.7

    8.9

    8.2

    8.4

    8.4

    8.6

    7.9

    8.1

    8.1

    8.3

    23

    8.8

    9.0

    9.0

    9.2

    8.5

    8.8

    8.8

    9.0

    8.2

    8.5

    8.5

    8.7

    7.9

    8.2

    8.2

    8.4

    24

    8.9

    9.1

    9.1

    9.3

    8.6

    8.9

    8.9

    9.1

    8.3

    8.6

    8.6

    8.8

    8.0

    8.2

    8.2

    8.5

    25

    9.0

    9.2

    9.2

    9.4

    8.7

    9.0

    9.0

    9.2

    8.4

    8.6

    8.6

    8.9

    8.1

    8.3

    8.3

    8.5

    26

    9.1

    9.3

    9.3

    9.5

    8.8

    9.1

    9.1

    9.3

    8.5

    8.7

    8.7

    9.0

    8.2

    8.4

    8.4

    8.6

    27

    9.2

    9.4

    9.4

    9.6

    8.9

    9.1

    9.1

    9.4

    8.6

    8.8

    8.8

    9.0

    8.2

    8.5

    8.5

    8.7

    28

    9.3

    9.5

    9.5

    9.7

    9.0

    9.2

    9.2

    9.5

    8.7

    8.9

    8.9

    9.1

    8.3

    8.5

    8.5

    8.8

    29

    9.3

    9.6

    9.6

    9.8

    9.1

    9.3

    9.3

    9.6

    8.7

    9.0

    9.0

    9.2

    8.4

    8.6

    8.6

    8.8

    30

    9.3

    9.6

    9.6

    9.8

    9.1

    9.3

    9.3

    9.6

    8.7

    9.0

    9.0

    9.2

    8.4

    8.6

    8.6

    8.8

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    42"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    11/289

    130 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 23

    5

    7.5

    7.8

    7.8

    8.0

    7.4

    7.7

    7.7

    8.0

    7.3

    7.6

    7.6

    7.9

    7.2

    7.5

    7.5

    7.8

    6

    7.6

    7.9

    7.9

    8.1

    7.5

    7.8

    7.8

    8.0

    7.4

    7.7

    7.7

    7.9

    7.3

    7.6

    7.6

    7.8

    7

    7.7

    8.0

    8.0

    8.2

    7.6

    7.9

    7.9

    8.2

    7.5

    7.8

    7.8

    8.0

    7.4

    7.6

    7.6

    7.9

    8

    7.8

    8.1

    8.1

    8.4

    7.7

    8.0

    8.0

    8.3

    7.6

    7.9

    7.9

    8.1

    7.5

    7.7

    7.7

    8.0

    9

    8.0

    8.2

    8.2

    8.5

    7.8

    8.1

    8.1

    8.4

    7.7

    8.0

    8.0

    8.2

    7.5

    7.8

    7.8

    8.1

    10

    8.1

    8.3

    8.3

    8.6

    8.0

    8.2

    8.2

    8.5

    7.8

    8.1

    8.1

    8.3

    7.6

    7.9

    7.9

    8.1

    11

    8.2

    8.5

    8.5

    8.7

    8.1

    8.3

    8.3

    8.6

    7.9

    8.2

    8.2

    8.4

    7.7

    8.0

    8.0

    8.2

    12

    8.3

    8.6

    8.6

    8.8

    8.2

    8.4

    8.4

    8.7

    8.0

    8.2

    8.2

    8.5

    7.8

    8.1

    8.1

    8.3

    13

    8.4

    8.7

    8.7

    9.0

    8.3

    8.5

    8.5

    8.8

    8.1

    8.3

    8.3

    8.6

    7.9

    8.1

    8.1

    8.4

    14

    8.5

    8.8

    8.8

    9.1

    8.4

    8.7

    8.7

    8.9

    8.2

    8.4

    8.4

    8.7

    8.0

    8.2

    8.2

    8.5

    15

    8.7

    8.9

    8.9

    9.2

    8.5

    8.8

    8.8

    9.0

    8.3

    8.5

    8.5

    8.8

    8.0

    8.3

    8.3

    8.6

    16

    8.8

    9.0

    9.0

    9.3

    8.6

    8.9

    8.9

    9.1

    8.4

    8.6

    8.6

    8.9

    8.1

    8.4

    8.4

    8.6

    17

    8.9

    9.2

    9.2

    9.4

    8.7

    9.0

    9.0

    9.2

    8.5

    8.7

    8.7

    9.0

    8.2

    8.5

    8.5

    8.7

    18

    9.0

    9.3

    9.3

    9.5

    8.8

    9.1

    9.1

    9.3

    8.6

    8.8

    8.8

    9.1

    8.3

    8.5

    8.5

    8.8

    19

    9.1

    9.4

    9.4

    9.6

    8.9

    9.2

    9.2

    9.4

    8.6

    8.9

    8.9

    9.2

    8.4

    8.6

    8.6

    8.9

    20

    9.2

    9.5

    9.5

    9.7

    9.0

    9.3

    9.3

    9.5

    8.7

    9.0

    9.0

    9.3

    8.4

    8.7

    8.7

    9.0

    21

    9.3

    9.6

    9.6

    9.9

    9.1

    9.4

    9.4

    9.6

    8.8

    9.1

    9.1

    9.3

    8.5

    8.8

    8.8

    9.0

    22

    9.4

    9.7

    9.7

    10.0

    9.2

    9.5

    9.5

    9.7

    8.9

    9.2

    9.2

    9.4

    8.6

    8.9

    8.9

    9.1

    23

    9.5

    9.8

    9.8

    10.1

    9.3

    9.6

    9.6

    9.8

    9.0

    9.3

    9.3

    9.5

    8.7

    8.9

    8.9

    9.2

    24

    9.6

    9.9

    9.9

    10.2

    9.4

    9.7

    9.7

    9.9

    9.1

    9.4

    9.4

    9.6

    8.8

    9.0

    9.0

    9.3

    25

    9.7

    10.0

    10.0

    10.3

    9.5

    9.8

    9.8

    10.0

    9.2

    9.4

    9.4

    9.7

    8.8

    9.1

    9.1

    9.4

    26

    9.8

    10.1

    10.1

    10.4

    9.6

    9.9

    9.9

    10.1

    9.3

    9.5

    9.5

    9.8

    8.9

    9.2

    9.2

    9.4

    27

    9.9

    10.2

    10.2

    10.5

    9.7

    10.0

    10.0

    10.2

    9.3

    9.6

    9.6

    9.9

    9.0

    9.2

    9.2

    9.5

    28

    10.0

    10.3

    10.3

    10.6

    9.8

    10.1

    10.1

    10.3

    9.4

    9.7

    9.7

    10.0

    9.1

    9.3

    9.3

    9.6

    29

    10.1

    10.4

    10.4

    10.7

    9.9

    10.2

    10.2

    10.4

    9.5

    9.8

    9.8

    10.0

    9.1

    9.4

    9.4

    9.7

    30

    10.1

    10.4

    10.4

    10.7

    9.9

    10.2

    10.2

    10.4

    9.5

    9.8

    9.8

    10.0

    9.1

    9.4

    9.4

    9.7

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    48"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

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    Tables 131

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 24

    5

    8.3

    8.6

    8.6

    8.9

    8.3

    8.6

    8.6

    8.9

    8.2

    8.5

    8.5

    8.8

    8.1

    8.4

    8.4

    8.7

    6

    8.4

    8.7

    8.7

    9.0

    8.4

    8.7

    8.7

    9.0

    8.3

    8.6

    8.6

    8.9

    8.2

    8.5

    8.5

    8.8

    7

    8.6

    8.9

    8.9

    9.2

    8.5

    8.8

    8.8

    9.1

    8.4

    8.6

    8.6

    8.9

    8.2

    8.5

    8.5

    8.8

    8

    8.7

    9.0

    9.0

    9.3

    8.6

    8.9

    8.9

    9.2

    8.4

    8.7

    8.7

    9.0

    8.3

    8.6

    8.6

    8.9

    9

    8.8

    9.1

    9.1

    9.4

    8.7

    9.0

    9.0

    9.3

    8.5

    8.8

    8.8

    9.1

    8.4

    8.7

    8.7

    9.0

    10

    8.9

    9.2

    9.2

    9.5

    8.8

    9.1

    9.1

    9.4

    8.6

    8.9

    8.9

    9.2

    8.5

    8.8

    8.8

    9.0

    11

    9.0

    9.3

    9.3

    9. 6

    8.9

    9.2

    9.2

    9.5

    8.7

    9.0

    9.0

    9.3

    8.5

    8.8

    8.8

    9.1

    12

    9.2

    9.5

    9.5

    9.7

    9.0

    9.3

    9.3

    9.6

    8.8

    9.1

    9.1

    9.4

    8.6

    8.9

    8.9

    9.2

    13

    9.3

    9.6

    9.6

    9.9

    9.1

    9.4

    9.4

    9.7

    8.9

    9.2

    9.2

    9.5

    8.7

    9.0

    9.0

    9.3

    14

    9.4

    9.7

    9.7

    10.0

    9.2

    9.5

    9.5

    9.8

    9.0

    9.3

    9.3

    9.6

    8.8

    9.1

    9.1

    9.4

    15

    9.5

    9.8

    9.8

    10.1

    9.3

    9.6

    9.6

    9.9

    9.1

    9.4

    9.4

    9.7

    8.9

    9.2

    9.2

    9.5

    16

    9.6

    9.9

    9.9

    10.2

    9.5

    9.7

    9.7

    10.0

    9.2

    9.5

    9.5

    9.8

    9.0

    9.3

    9.3

    9.5

    17

    9.7

    10.0

    10.0

    10.3

    9.6

    9.9

    9.9

    10.1

    9.3

    9.6

    9.6

    9.9

    9.0

    9.3

    9.3

    9.6

    18

    9.9

    10.2

    10.2

    10.4

    9.7

    10.0

    10.0

    10.2

    9.4

    9.7

    9.7

    10.0

    9.1

    9.4

    9.4

    9.7

    19

    10.0

    10.3

    10.3

    10.6

    9.8

    10.1

    10.1

    10.4

    9.5

    9.8

    9.8

    10.1

    9.2

    9.5

    9.5

    9.8

    20

    10.1

    10.4

    10.4

    10.7

    9.9

    10.2

    10.2

    10.5

    9.6

    9.9

    9.9

    10.2

    9.3

    9.6

    9.6

    9.9

    21

    10.2

    10.5

    10.5

    10.8

    10.0

    10.3

    10.3

    10.6

    9.7

    10.0

    10.0

    10.3

    9.4

    9.7

    9.7

    9.9

    22

    10.3

    10.6

    10.6

    10.9

    10.1

    10.4

    10.4

    10.7

    9.8

    10.1

    10.1

    10.3

    9.4

    9.7

    9.7

    10.0

    23

    10.4

    10.7

    10.7

    11.0

    10.2

    10.5

    10.5

    10.8

    9.9

    10.1

    10.1

    10.4

    9.5

    9.8

    9.8

    10.1

    24

    10.5

    10.8

    10.8

    11.1

    10.3

    10.6

    10.6

    10.9

    9.9

    10.2

    10.2

    10.5

    9.6

    9.9

    9.9

    10.2

    25

    10.6

    10.9

    10.9

    11.2

    10.4

    10.7

    10.7

    11.0

    10.0

    10.3

    10.3

    10.6

    9.7

    10.0

    10.0

    10.3

    26

    10.7

    11.0

    11.0

    11.3

    10.5

    10.8

    10.8

    11.1

    10.1

    10.4

    10.4

    10.7

    9.8

    10.1

    10.1

    10.3

    27

    10.8

    11.1

    11.1

    11.4

    10.6

    10.9

    10.9

    11.2

    10.2

    10.5

    10.5

    10.8

    9.8

    10.1

    10.1

    10.4

    28

    10.9

    11.2

    11.2

    11.5

    10.7

    11.0

    11.0

    11.3

    10.3

    10.6

    10.6

    10.9

    9.9

    10.2

    10.2

    10.5

    29

    11.0

    11.3

    11.3

    11.6

    10.8

    11.1

    11.1

    11.4

    10.4

    10.7

    10.7

    11.0

    10.0

    10.3

    10.3

    10.6

    30

    11.0

    11.3

    11.3

    11.6

    10.8

    11.1

    11.1

    11.4

    10.4

    10.7

    10.7

    11.0

    10.0

    10.3

    10.3

    10.6

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    54"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

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    132 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 25

    5

    9.2

    9.5

    9.5

    9.9

    9.1

    9.5

    9.5

    9.8

    9.0

    9.4

    9.4

    9.7

    8.9

    9.3

    9.3

    9.6

    6

    9.3

    9.6

    9.6

    10.0

    9.2

    9.6

    9.6

    9.9

    9.1

    9.4

    9.4

    9.8

    9.0

    9.3

    9.3

    9.7

    7

    9.4

    9.7

    9.7

    10.1

    9.3

    9.6

    9.6

    10.0

    9.2

    9.5

    9.5

    9.9

    9.1

    9.4

    9.4

    9.7

    8

    9.5

    9.9

    9.9

    10.2

    9.4

    9.8

    9.8

    10.1

    9.3

    9.6

    9.6

    9.9

    9.1

    9.5

    9.5

    9.8

    9

    9.6

    10.0

    10.0

    10.3

    9.5

    9.9

    9.9

    10.2

    9.4

    9.7

    9.7

    10.0

    9.2

    9.5

    9.5

    9.9

    10

    9.8

    10.1

    10.1

    10.4

    9.6

    10.0

    10.0

    10.3

    9.5

    9.8

    9.8

    10.1

    9.3

    9.6

    9.6

    9.9

    11

    9.9

    10.2

    10.2

    10.5

    9.8

    10.1

    10.1

    10.4

    9.6

    9.9

    9.9

    10.2

    9.4

    9.7

    9.7

    10.0

    12

    10.0

    10.3

    10.3

    10.6

    9.9

    10.2

    10.2

    10.5

    9.7

    10.0

    10.0

    10.3

    9.5

    9.8

    9.8

    10.1

    13

    10.1

    10.4

    10.4

    10.8

    10.0

    10.3

    10.3

    10.6

    9.8

    10.1

    10.1

    10.4

    9.6

    9.9

    9.9

    10.2

    14

    10.2

    10.6

    10.6

    10.9

    10.1

    10.4

    10.4

    10.7

    9.9

    10.2

    10.2

    10.5

    9.6

    10.0

    10.0

    10.3

    15

    10.4

    10.7

    10.7

    11.0

    10.2

    10.5

    10.5

    10.8

    10.0

    10.3

    10.3

    10.6

    9.7

    10.0

    10.0

    10.4

    16

    10.5

    10.8

    10.8

    11.1

    10.3

    10.6

    10.6

    10.9

    10.1

    10.4

    10.4

    10.7

    9.8

    10.1

    10.1

    10.4

    17

    10.6

    10.9

    10.9

    11.2

    10.4

    10.7

    10.7

    11.0

    10.1

    10.5

    10.5

    10.8

    9.9

    10.2

    10.2

    10.5

    18

    10.7

    11.0

    11.0

    11.4

    10.5

    10.8

    10.8

    11.2

    10.2

    10.6

    10.6

    10.9

    10.0

    10.3

    10.3

    10.6

    19

    10.8

    11.2

    11.2

    11.5

    10.6

    10.9

    10.9

    11.3

    10.3

    10.7

    10.7

    11.0

    10.0

    10.4

    10.4

    10.7

    20

    10.9

    11.3

    11.3

    11.6

    10.7

    11.0

    11.0

    11.4

    10.4

    10.8

    10.8

    11.1

    10.1

    10.4

    10.4

    10.8

    21

    11.1

    11.4

    11.4

    11.7

    10.8

    11.2

    11.2

    11.5

    10.5

    10.8

    10.8

    11.2

    10.2

    10.5

    10.5

    10.8

    22

    11.2

    11.5

    11.5

    11.8

    10.9

    11.3

    11.3

    11.6

    10.6

    10.9

    10.9

    11.3

    10.3

    10.6

    10.6

    10.9

    23

    11.3

    11.6

    11.6

    11.9

    11.0

    11.4

    11.4

    11.7

    10.7

    11.0

    11.0

    11.4

    10.4

    10.7

    10.7

    11.0

    24

    11.4

    11.7

    11.7

    12.0

    11.1

    11.5

    11.5

    11.8

    10.8

    11.1

    11.1

    11.4

    10.5

    10.8

    10.8

    11.1

    25

    11.5

    11.8

    11.8

    12.1

    11.2

    11.6

    11.6

    11.9

    10.9

    11.2

    11.2

    11.5

    10.5

    10.8

    10.8

    11.2

    26

    11.6

    11.9

    11.9

    12.3

    11.3

    11.7

    11.7

    12.0

    11.0

    11.3

    11.3

    11.6

    10.6

    10.9

    10.9

    11.2

    27

    11.7

    12.0

    12.0

    12.4

    11.4

    11.8

    11.8

    12.1

    11.1

    11.4

    11.4

    11.7

    10.7

    11.0

    11.0

    11.3

    28

    11.8

    12.1

    12.1

    12.5

    11.5

    11.9

    11.9

    12.2

    11.2

    11.5

    11.5

    11.8

    10.8

    11.1

    11.1

    11.4

    29

    11.9

    12.2

    12.2

    12.6

    11.6

    12.0

    12.0

    12.3

    11.2

    11.6

    11.6

    11.9

    10.8

    11.2

    11.2

    11.5

    30

    11.9

    12.2

    12.2

    12.6

    11.6

    12.0

    12.0

    12.3

    11.2

    11.6

    11.6

    11.9

    10.8

    11.2

    11.2

    11.5

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    60"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    14/289

    Tables 133

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 26

    5

    10.1

    10.4

    10.4

    10.8

    10.0

    10.4

    10.4

    10.7

    9.9

    10.3

    10.3

    10.7

    9.8

    10.2

    10.2

    10.6

    6

    10.2

    10.5

    10.5

    10.9

    10.1

    10.4

    10.4

    10.8

    10.0

    10.3

    10.3

    10.7

    9.9

    10.2

    10.2

    10.6

    7

    10.3

    10.6

    10.6

    11.0

    10.2

    10.5

    10.5

    10.9

    10.0

    10.4

    10.4

    10.8

    9.9

    10.3

    10.3

    10.6

    8

    10.4

    10.7

    10.7

    11.1

    10.3

    10.6

    10.6

    11.0

    10.1

    10.5

    10.5

    10.9

    10.0

    10.3

    10.3

    10.7

    9

    10.5

    10.8

    10.8

    11.2

    10.4

    10.7

    10.7

    11.1

    10.2

    10.6

    10.6

    10.9

    10.1

    10.4

    10.4

    10.8

    10

    10.6

    11.0

    11.0

    11.3

    10.5

    10.8

    10.8

    11.2

    10.3

    10.7

    10.7

    11.0

    10.1

    10.5

    10.5

    10.9

    11

    10.7

    11.1

    11.1

    11.4

    10.6

    10.9

    10.9

    11.3

    10.4

    10.8

    10.8

    11.1

    10.2

    10.6

    10.6

    10.9

    12

    10.8

    11.2

    11.2

    11.6

    10.7

    11.1

    11.1

    11.4

    10.5

    10.9

    10.9

    11.2

    10.3

    10.7

    10.7

    11.0

    13

    11.0

    11.3

    11.3

    11.7

    10.8

    11.2

    11.2

    11.5

    10.6

    11.0

    11.0

    11.3

    10.4

    10.7

    10.7

    11.1

    14

    11.1

    11.4

    11.4

    11.8

    10.9

    11.3

    11.3

    11.6

    10.7

    11.1

    11.1

    11.4

    10.5

    10.8

    10.8

    11.2

    15

    11.2

    11.6

    11.6

    11.9

    11.0

    11.4

    11.4

    11.7

    10.8

    11.1

    11.1

    11.5

    10.6

    10.9

    10.9

    11.3

    16

    11.3

    11.7

    11.7

    12.0

    11.1

    11.5

    11.5

    11.8

    10.9

    11.2

    11.2

    11.6

    10.6

    11.0

    11.0

    11.3

    17

    11.4

    11.8

    11.8

    12.2

    11.3

    11.6

    11.6

    12.0

    11.0

    11.3

    11.3

    11.7

    10.7

    11.1

    11.1

    11.4

    18

    11.6

    11.9

    11.9

    12.3

    11.4

    11.7

    11.7

    12.1

    11.1

    11.4

    11.4

    11.8

    10.8

    11.2

    11.2

    11.5

    19

    11.7

    12.0

    12.0

    12.4

    11.5

    11.8

    11.8

    12.2

    11.2

    11.5

    11.5

    11.9

    10.9

    11.2

    11.2

    11.6

    20

    11.8

    12.1

    12.1

    12.5

    11.6

    11.9

    11.9

    12.3

    11.3

    11.6

    11.6

    12.0

    11.0

    11.3

    11.3

    11.7

    21

    11.9

    12.3

    12.3

    12.6

    11.7

    12.0

    12.0

    12.4

    11.4

    11.7

    11.7

    12.1

    11.0

    11.4

    11.4

    11.7

    22

    12.0

    12.4

    12.4

    12.7

    11.8

    12.1

    12.1

    12.5

    11.5

    11.8

    11.8

    12.2

    11.1

    11.5

    11.5

    11.8

    23

    12.1

    12.5

    12.5

    12.8

    11.9

    12.2

    12.2

    12.6

    11.6

    11.9

    11.9

    12.3

    11.2

    11.6

    11.6

    11.9

    24

    12.2

    12.6

    12.6

    13.0

    12.0

    12.3

    12.3

    12.7

    11.6

    12.0

    12.0

    12.4

    11.3

    11.6

    11.6

    12.0

    25

    12.4

    12.7

    12.7

    13.1

    12.1

    12.5

    12.5

    12.8

    11.7

    12.1

    12.1

    12.4

    11.4

    11.7

    11.7

    12.1

    26

    12.5

    12.8

    12.8

    13.2

    12.2

    12.6

    12.6

    12.9

    11.8

    12.2

    12.2

    12.5

    11.5

    11.8

    11.8

    12.2

    27

    12.6

    12.9

    12.9

    13.3

    12.3

    12.7

    12.7

    13.0

    11.9

    12.3

    12.3

    12.6

    11.5

    11.9

    11.9

    12.2

    28

    12.7

    13.0

    13.0

    13.4

    12.4

    12.8

    12.8

    13.1

    12.0

    12.4

    12.4

    12.7

    11.6

    12.0

    12.0

    12.3

    29

    12.8

    13.2

    13.2

    13.5

    12.5

    12.9

    12.9

    13.2

    12.1

    12.5

    12.5

    12.8

    11.7

    12.0

    12.0

    12.4

    30

    12.8

    13.2

    13.2

    13.5

    12.5

    12.9

    12.9

    13.2

    12.1

    12.5

    12.5

    12.8

    11.7

    12.0

    12.0

    12.4

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    66"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    15/289

    134 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 27

    5

    10.9

    11.3

    11.3

    11.8

    10.9

    11.3

    11.3

    11.7

    10.8

    11.2

    11.2

    11.6

    10.7

    11.1

    11.1

    11.5

    6

    11.0

    11.4

    11.4

    11.8

    10.9

    11.3

    11.3

    11.7

    10.8

    11.2

    11.2

    11.6

    10.7

    11.1

    11.1

    11.5

    7

    11.1

    11.5

    11.5

    11.9

    11.0

    11.4

    11.4

    11.8

    10.9

    11.3

    11.3

    11.7

    10.8

    11.2

    11.2

    11.6

    8

    11.2

    11.6

    11.6

    12.0

    11.1

    11.5

    11.5

    11.9

    11.0

    11.4

    11.4

    11.8

    10.8

    11.2

    11.2

    11.6

    9

    11.3

    11.7

    11.7

    12.1

    11.2

    11.6

    11.6

    12.0

    11.1

    11.5

    11.5

    11.8

    10.9

    11.3

    11.3

    11.7

    10

    11.5

    11.8

    11.8

    12.2

    11.3

    11.7

    11.7

    12.1

    11.2

    11.5

    11.5

    11.9

    11.0

    11.4

    11.4

    11.8

    11

    11.6

    12.0

    12.0

    12.3

    11.4

    11.8

    11.8

    12.2

    11.2

    11.6

    11.6

    12.0

    11.1

    11.4

    11.4

    11.8

    12

    11.7

    12.1

    12.1

    12.5

    11.5

    11.9

    11.9

    12.3

    11.3

    11.7

    11.7

    12.1

    11.1

    11.5

    11.5

    11.9

    13

    11.8

    12.2

    12.2

    12.6

    11.7

    12.0

    12.0

    12.4

    11.4

    11.8

    11.8

    12.2

    11.2

    11.6

    11.6

    12.0

    14

    11.9

    12.3

    12.3

    12.7

    11.8

    12.2

    12.2

    12.5

    11.5

    11.9

    11.9

    12.3

    11.3

    11.7

    11.7

    12.1

    15

    12.1

    12.4

    12.4

    12.8

    11.9

    12.3

    12.3

    12.6

    11.6

    12.0

    12.0

    12.4

    11.4

    11.8

    11.8

    12.1

    16

    12.2

    12.6

    12.6

    12.9

    12.0

    12.4

    12.4

    12.8

    11.7

    12.1

    12.1

    12.5

    11.5

    11.9

    11.9

    12.2

    17

    12.3

    12.7

    12.7

    13.1

    12.1

    12.5

    12.5

    12.9

    11.8

    12.2

    12.2

    12.6

    11.6

    11.9

    11.9

    12.3

    18

    12.4

    12.8

    12.8

    13.2

    12.2

    12.6

    12.6

    13.0

    11.9

    12.3

    12.3

    12.7

    11.6

    12.0

    12.0

    12.4

    19

    12.5

    12.9

    12.9

    13.3

    12.3

    12.7

    12.7

    13.1

    12.0

    12.4

    12.4

    12.8

    11.7

    12.1

    12.1

    12.5

    20

    12.6

    13.0

    13.0

    13.4

    12.4

    12.8

    12.8

    13.2

    12.1

    12.5

    12.5

    12.9

    11.8

    12.2

    12.2

    12.6

    21

    12.8

    13.1

    13.1

    13.5

    12.5

    12.9

    12.9

    13.3

    12.2

    12.6

    12.6

    13.0

    11.9

    12.3

    12.3

    12.6

    22

    12.9

    13.3

    13.3

    13.6

    12.6

    13.0

    13.0

    13.4

    12.3

    12.7

    12.7

    13.1

    12.0

    12.3

    12.3

    12.7

    23

    13.0

    13.4

    13.4

    13.8

    12.7

    13.1

    13.1

    13.5

    12.4

    12.8

    12.8

    13.2

    12.1

    12.4

    12.4

    12.8

    24

    13.1

    13.5

    13.5

    13.9

    12.8

    13.2

    13.2

    13.6

    12.5

    12.9

    12.9

    13.3

    12.1

    12.5

    12.5

    12.9

    25

    13.2

    13.6

    13.6

    14.0

    13.0

    13.3

    13.3

    13.7

    12.6

    13.0

    13.0

    13.4

    12.2

    12.6

    12.6

    13.0

    26

    13.3

    13.7

    13.7

    14.1

    13.1

    13.4

    13.4

    13.8

    12.7

    13.1

    13.1

    13.4

    12.3

    12.7

    12.7

    13.1

    27

    13.4

    13.8

    13.8

    14.2

    13.2

    13.5

    13.5

    13.9

    12.8

    13.2

    13.2

    13.5

    12.4

    12.8

    12.8

    13.1

    28

    13.5

    13.9

    13.9

    14.3

    13.3

    13.6

    13.6

    14.0

    12.9

    13.2

    13.2

    13.6

    12.5

    12.8

    12.8

    13.2

    29

    13.7

    14.0

    14.0

    14.4

    13.4

    13.7

    13.7

    14.1

    13.0

    13.3

    13.3

    13.7

    12.5

    12.9

    12.9

    13.3

    30

    13.7

    14.0

    14.0

    14.4

    13.4

    13.7

    13.7

    14.1

    13.0

    13.3

    13.3

    13.7

    12.5

    12.9

    12.9

    13.3

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    72"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    16/289

    Tables 135

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 28

    5

    11.8

    12.3

    12.3

    12.7

    11.7

    12.2

    12.2

    12.6

    11.6

    12.1

    12.1

    12.5

    11.5

    12.0

    12.0

    12.5

    6

    11.9

    12.3

    12.3

    12.8

    11.8

    12.2

    12.2

    12.7

    11.7

    12.1

    12.1

    12.6

    11.6

    12.0

    12.0

    12.5

    7

    12.0

    12.4

    12.4

    12.8

    11.9

    12.3

    12.3

    12.7

    11.7

    12.2

    12.2

    12.6

    11.6

    12.1

    12.1

    12.5

    8

    12.1

    12.5

    12.5

    12.9

    12.0

    12.4

    12.4

    12.8

    11.8

    12.3

    12.3

    12.7

    11.7

    12.1

    12.1

    12.5

    9

    12.2

    12.6

    12.6

    13.0

    12.1

    12.5

    12.5

    12.9

    11.9

    12.3

    12.3

    12.8

    11.7

    12.2

    12.2

    12.6

    10

    12.3

    12.7

    12.7

    13.1

    12.2

    12.6

    12.6

    13.0

    12.0

    12.4

    12.4

    12.8

    11.8

    12.2

    12.2

    12.7

    11

    12.4

    12.8

    12.8

    13.3

    12.3

    12.7

    12.7

    13.1

    12.1

    12.5

    12.5

    12.9

    11.9

    12.3

    12.3

    12.7

    12

    12.5

    13.0

    13.0

    13.4

    12.4

    12.8

    12.8

    13.2

    12.2

    12.6

    12.6

    13.0

    12.0

    12.4

    12.4

    12.8

    13

    12.7

    13.1

    13.1

    13.5

    12.5

    12.9

    12.9

    13.3

    12.3

    12.7

    12.7

    13.1

    12.1

    12.5

    12.5

    12.9

    14

    12.8

    13.2

    13.2

    13.6

    12.6

    13.0

    13.0

    13.4

    12.4

    12.8

    12.8

    13.2

    12.1

    12.6

    12.6

    13.0

    15

    12.9

    13.3

    13.3

    13.7

    12.7

    13.1

    13.1

    13.5

    12.5

    12.9

    12.9

    13.3

    12.2

    12.6

    12.6

    13.0

    16

    13.0

    13.4

    13.4

    13.9

    12.8

    13.2

    13.2

    13.7

    12.6

    13.0

    13.0

    13.4

    12.3

    12.7

    12.7

    13.1

    17

    13.1

    13.6

    13.6

    14.0

    12.9

    13.4

    13.4

    13.8

    12.7

    13.1

    13.1

    13.5

    12.4

    12.8

    12.8

    13.2

    18

    13.3

    13.7

    13.7

    14.1

    13.0

    13.5

    13.5

    13.9

    12.8

    13.2

    13.2

    13.6

    12.5

    12.9

    12.9

    13.3

    19

    13.4

    13.8

    13.8

    14.2

    13.2

    13.6

    13.6

    14.0

    12.9

    13.3

    13.3

    13.7

    12.6

    13.0

    13.0

    13.4

    20

    13.5

    13.9

    13.9

    14.3

    13.3

    13.7

    13.7

    14.1

    13.0

    13.4

    13.4

    13.8

    12.6

    13.0

    13.0

    13.5

    21

    13.6

    14.0

    14.0

    14.4

    13.4

    13.8

    13.8

    14.2

    13.1

    13.5

    13.5

    13.9

    12.7

    13.1

    13.1

    13.5

    22

    13.7

    14.1

    14.1

    14.6

    13.5

    13.9

    13.9

    14.3

    13.1

    13.6

    13.6

    14.0

    12.8

    13.2

    13.2

    13.6

    23

    13.8

    14.3

    14.3

    14.7

    13.6

    14.0

    14.0

    14.4

    13.2

    13.7

    13.7

    14.1

    12.9

    13.3

    13.3

    13.7

    24

    14.0

    14.4

    14.4

    14.8

    13.7

    14.1

    14.1

    14.5

    13.3

    13.8

    13.8

    14.2

    13.0

    13.4

    13.4

    13.8

    25

    14.1

    14.5

    14.5

    14.9

    13.8

    14.2

    14.2

    14.6

    13.4

    13.8

    13.8

    14.3

    13.1

    13.5

    13.5

    13.9

    26

    14.2

    14.6

    14.6

    15.0

    13.9

    14.3

    14.3

    14.7

    13.5

    13.9

    13.9

    14.4

    13.1

    13.5

    13.5

    14.0

    27

    14.3

    14.7

    14.7

    15.1

    14.0

    14.4

    14.4

    14.8

    13.6

    14.0

    14.0

    14.4

    13.2

    13.6

    13.6

    14.0

    28

    14.4

    14.8

    14.8

    15.2

    14.1

    14.5

    14.5

    14.9

    13.7

    14.1

    14.1

    14.5

    13.3

    13.7

    13.7

    14.1

    29

    14.5

    14.9

    14.9

    15.4

    14.2

    14.6

    14.6

    15.1

    13.8

    14.2

    14.2

    14.6

    13.4

    13.8

    13.8

    14.2

    30

    14.5

    14.9

    14.9

    15.4

    14.2

    14.6

    14.6

    15.1

    13.8

    14.2

    14.2

    14.6

    13.4

    13.8

    13.8

    14.2

    TransitionWidths(FT)

    Ku’=0

    .165

    Ku’=

    0.150

    Ku’=

    0.130

    Ku’

    =0.110

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Type

    1

    Type

    2

    Type

    3

    Type

    4

    Pipe

    Size

    =

    78"

       H  e i  g  h t  o f   B  a  c  k f i l l   H   A  b  o  v  e   T  o  p  o f   P i  p  e ,   F  e  e t

  • 8/20/2019 Tablas y Figuras de Tubos

    17/289

    136 Concrete Pipe Design Manual

    American Concrete Pipe Association • www.concrete-pipe.org

    Table 29

    5

    12.6

    13.1

    13.1

    13.6

    12.5

    13.0

    13.0

    13.5

    12.4

    12.9

    12.9

    13.4

    12.3

    12.8

    12.8

    13.3

    6

    12.6

    13.1

    13.1

    13.6

    12.6

    13.0

    13.0

    13.5

    12.4

    12.9

    12.9

    13.4

    12.3

    12.8

    12.8

    13.3

    7

    12.7

    13.2

    13.2

    13.7

    12.6

    13.1

    13.1

    13.6

    12.5

    13.0

    13.0

    13.4

    12.4

    12.8

    12.8

    13.3

    8

    12.8

    13.3

    13.3

    13.8

    12.7

    13.2

    13.2

    13.7

    12.6

    13.0

    13.0

    13.5

    12.4

    12.9

    12.9

    13.4

    9

    12.9

    13.4

    13.4

    13.9

    12.8

    13.3

    13.3

    13.7

    12.7

    13.1

    13.1

    13.6

    12.5

    13.0

    13.0

    13.4

    10

    13.0

    13.5

    13.5

    14.0

    12.9

    13.4

    13.4

    13.8

    12.7

    13.2

    13.2

    13.7

    12.6

    13.0

    13.0

    13.5

    11

    13.2

    13.6

    13.6

    14.1

    13.0

    13.5

    13.5

    13.9

    12.8

    13.3

    13.3

    13.7

    12.6

    13.1

    13.1

    13.5

    12

    13.3

    13.7

    13.7

    14.2

    13.1

    13.6

    13.6

    14.0

    12.9

    13.4

    13.4

    13.8

    12.7

    13.2

    13.2

    13.6

    13

    13.4

    13.9

    13.9

    14.3

    13.2

    13.7

    13.7

    14.1

    13.0

    13.5

    13.5

    13.9

    12.8

    13.2

    13.2

    13.7

    14

    13.5

    14.0

    14.0

    14.4

    13.3

    13.8

    13.8

    14.2

    13.1

    13.6

    13.6

    14.0

    12.9

    13.3

    13.3

    13.8

    15

    13.6

    14.1

    14.1

    14.5

    13.5

    13.9

    13.9

    14.4

    13.2

    13.7

    13.7

    14.1

    13.0

    13.4

    13.4

    13.8

    16

    13.8

    14.2

    14.2

    14.7

    13.6

    14.0

    14.0

    14.5

    13.3

    13.8

    13.8

    14.2

    13.0

    13.5

    13.5

    13.9

    17

    13.9

    14.3

    14.3

    14.8

    13.7

    14.1

    14.1

    14.6

    13.4

    13.9

    13.9

    14.3

    13.1

    13.6

    13.6

    14.0

    18

    14.0

    14.5

    14.5

    14.9

    13.8

    14.2

    14.2

    14.7

    13.5

    13.9

    13.9

    14.4

    13.2

    13.7

    13.7

    14.1

    19

    14.1

    14.6

    14.6

    15.0

    13.9

    14.3

    14.3

    14.8

    13.6

    14.0

    14.0

    14.5

    13.3

    13.7

    13.7

    14.2

    20

    14.2

    14.7

    14.7

    15.1

    14.0

    14.5

    14.5

    14.9

    13.7

    14.1

    14.1

    14.6

    13.4

    13.8

    13.8

    14.3

    21

    14.4

    14.8

    14.8

    15.3

    14.1

    14.6

    14.6

    15.0

    13.8

    14.2

    14.2

    14.7

    13.5

    13.9

    13.9

    14.3

    22

    14.5

    14.9

    14.9

    15.4

    14.2

    14.7

    14.7

    15.1

    13.9

    14.3

    14.3

    14.8

    13.5

    14.0

    14.0

    14.4

    23

    14.6

    15.0

    15.0

    15.5

    14.3

    14.8

    14.8

    15.2

    14.0

    14.4

    14.4

    14.9

    13.6

    14.1

    14.1

    14.5

    24

    14.7

    15.2

    15.2

    15.6

    14.4

    14.9

    14.9

    15.3

    14.1

    14.5

    14.5

    15.0

    13.7

    14.1

    14.1

    14.6

    25

    14.8

    15.3

    15.3

    15.7

    14.6

    15.0

    15.0

    15.4

    14.2

    14.6

    14.6

    15.1

    13.8

    14.2

    14.2

    14.7

    26

    14.9

    15.4

    15.4

    15.8

    14.7

    15.1

    15.1

    15.6

    14.3

    14.7

    14.7

    15.2

    13.9

    14.3

    14.3

    14.8

    27

    15.1

    15.5

    15.5

    16.0

    14.8

    15.2

    15.2

    15.7

    14.4

    14.8

    14.8

    15.3

    14.0

    14.4

    14.4

    14.8

    28

    15.2

    15.6

    15.6

    16.1

    14.9

    15.3

    15.3

    15.8

    14.5

    14.9

    14.9

    15.3

    14.0

    14.5

    14.5

    14.9

    29

    15.3

    15.7

    15.7

    16.2

    15.0

    15.4

    15.4

    15.9