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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
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