COmbinacion-bolomey.xlsx

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    EJEMPLO DE COMBINACIÓN DE AGREGADOS - MÉTODO DE BOLOMEY

    Se tiene la siguiente granul!etr"a# a$% &'#(( ) agua& *'+ l

    Peso ( gr. ) Piedra

    Piedra Arena % Ret. % Acum.

    2 1/2" 63.5   0.0 0.0

    2" 50.8   0.0 0.0

    1 1/2" 38.1   0.0 0.0

    1" 25.4 6   1.0 1.0

    3/4" 1.05 122   1.2 2.2

    1/2" 12.! 4866.5   48.7 50.8

    3/8" .525 2!4.5   29.7 80.6

    1/4" 6.35   0.0 80.6

    #4 4.!5 18!2.5 50.1   18.7 99.3

    #8 2.36 6   0.0 99.3

    #16 1.18 108.   0.0 99.3

    #30 0.6 101.   0.0 99.3

    #50 0.3 3.8   0.0 99.3

    #100 0.15 !6.1   0.0 99.3

    $& 68.5 !3.2   0.7 100.0

    'A 10000 600 .$. 6.

    El TM para Bolomey será: ,$.. & /0#'1

    Caso 1: Igualar los valore del % que pasa el tamiz N°4

    El r% 2el %e!ent se %n%e3 ,/1#* 0.100

    rf 0.508 0.56rg 0.!" 0.44

    Nta3 Ls 4arlres 2e r5 se 6tu4iern entre la %!6ina%i7n 2el r89 el rg )

    Caso ": Igualar los #$

    *ami+(,u-g)

    *ami+(mm)

      < =;(   < = # ;> ; < = # ;> ;?/''> ;= ( (_ + ( (_ (_

    1(#0&0/#@ ?'#@ ?/''×_ ×_ ×_

    _ &'#0>   〗〖 _   〗〖 ;$_   〖 〗 _   〗〖  ;>/''_ 

    _ &'#0>(#@0#/,;$(#@0*#0+;>/''

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    rf 5".0 0.58

    rg 8.0 0.4"

    Nta3 N se %nsi2era la :arti%i:a%i7n 2el %e!ent 2e6i2 a ue su M es

    Caso : Igualar las urvas

     Ta6ula!s ls 4alres :ara las :si6les %!6ina%ines3

    1() 2()

    A

    0.3152 0.58

    0.0 0.0 100   0.0 0.0 100

    0.0 0.0 100   0.0 0.0 100

    0.0 0.0 100   0.0 0.0 1000.0 0.0 100   1.0 1.0 .04

    0.0 0.0 100   1.2 2.2 !.82

    0.0 0.0 100   48.7 50.8 4.155

    0.0 0.0 100   29.7 80.6 1.41

    0.0 0.0 100   0.0 80.6 1.41

    8.4 8.4 1.65   18.7 99.3 0.685

    16.0 24.4 !5.65   0.0 99.3 0.685

    18.2 42.5 5!.5   0.0 99.3 0.685

    17.0 59.5 40.5166!   0.0 99.3 0.685

    15.6 75.1 24.88333   0.0 99.3 0.68512.7 87.8 12.2   0.0 99.3 0.685

    12.2 100.0 0   0.7 100.0 0

    100.0 100.0

    Resta!s la 8un%i7n , 2el %e!ent 2e la %ur4a :ti!a ) %!:ara!

    1 2 3 4.1

    100.0   90.0 32.0 58.0 0.0 0.0

    100.0   90.0 32.0 58.0 0.0 0.0

    100.0   90.0 32.0 58.0 0.0 0.0100.0   90.0 32.0 57.4 0.6 -110.3

    100.0   90.0 32.0 56.7 1.3 -247.4

    83.!   73.7 32.0 28.5 13.2 -1293.6

    !3.   63.9 32.0 11.3 20.7 -802.6

    62.4   52.4 32.0 11.3 9.1 -354.3

    55.4   45.4 29.3 0.4 15.7 -21.5

    42.3   32.3 24.2 0.4 7.7 -10.6

    33.2   23.1 18.4 0.4 4.4 -6.0

    26.8   16.8 13.0 0.4 3.4 -4.7

    22.2   12.2 8.0 0.4 3.8 -5.2

    18.   8.9 3.9 0.4 4.6 -6.3

    11.0   11.0 0.0 0.0 11.0 0.0

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    -2862.4

    Se re:ite el :r%es :ara %a2a %!6ina%i7n9 Fasta 6tener el !"ni!

    1179.61 14.00 Esta 4e :r6a!s :ara a

    0.58   1521.65

    0.5!   1396.84

    0.56   1279.03

    0.55   1168.22

    0.54   1064.41

    0.53   967.60

    0.52   877.80

    0.51   795.00

    0.50   719.19

    0.4   650.39

    0.48   588.60

    0.4!   533.80

    0.46   486.00

    0.45   445.21

    0.44   411.42

    0.43   384.62

    0.42   364.83

    0.41   352.05

    0.40   346.26

    0.3   347.47

    0.38   355.69

    0.3!   370.91

    0.36   393.13

    0.35   422.35

    Halr 2e itera%i7n :ara el 2e :ie2ra

    En este %as el 2e :ie2ra sali7n '#9 aFra l trans8r!a!s :ara

    Ar 0.556

    Pi 0.444

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    Arena

    % Pasa % Ret. % Acum. % Pasa % Pasa

    100.0 0.0 0.0 100.0 100.0

    100.0 0.0 0.0 100.0 100.0

    100.0 0.0 0.0 100.0 100.0

    99.0 0.0 0.0 100.0 100.0

    97.8 0.0 0.0 100.0 100.0

    49.2 0.0 0.0 100.0 84.2

    19.4 0.0 0.0 100.0 74.8

    19.4 0.0 0.0 100.0 63.7

    0.!   8.4 8.4 1.! 56.

    0.7 16.0 24.4 75.7 44.3

    0.7 18.2 42.5 57.5 35.4

    0.7 17.0 59.5 40.5 29.3

    0.7 15.6 75.1 24.9 24.8

    0.7 12.7 87.8 12.2 21.6

    0.0 12.2 100.0 0.0 14.0

    .$. 2.8 .$.

    el r%9 trans8r!an2 ests 4alres :ara tra6a5ar sl %n el ra ) el rg;

    Curva optima de

    &olome' (a)14*

     _ ?/'' ;= −

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    #

    3()

    0.10 na :si6le %!6ina%i7n0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 1000.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 100

    0.0 0.0 1000.0 0.0 100

    100.0 100.0 0

    100.0

     %n la :si6le %!6ina%i7n#

    4.2 min ca!ra!os

    0.0 0.0

    0.0 0.0

    0.0 0.0-111.4 0.3

    -252.9 1.6

    -2631.7 173.1

    -4134.9 427.4

    -1825.3 83.3

    -2880.7 247.0

    -1167.9 59.6

    -500.4 18.9

    -277.9 11.8

    -189.4 14.5

    -112.0 21.1

    0.0 121.0

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    -14084.4 11!.6 O6tene!s el :ri!er 4alr 2e !"ni!s

    4alr 2e ls !"ni!s %ua2ra2s3

    /

    eter!inar la %anti2a2 el %nsi2eran2 sl ls agrega2s

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    % retenido acumu-ado

    0.0

    0.0

    0.0

    0.0

    0.0

    15.8

    25.2

    36.3

    43.1

    55.7

    64.6

    70.7

    75.2

    78.4

    86.0

    4.13

      ;'#1(_/

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      ua2ra2s