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PRO
MUESTRAC - 1 C - 2 C - 3 C - 4 C - 5 PROM.
1 219 217 225 222 218 220.002 236 238 226 245 227 234.003 221 211 215 218 219 217.004 218 226 215 216 217 218.005 223 224 219 218 214 220.006 235 228 216 223 224 225.007 219 224 225 217 232 223.008 232 219 221 223 232 225.009 225 233 228 219 218 225.00
10 232 225 223 231 229 228.0011 215 219 218 217 221 218.0012 224 226 222 219 226 223.0013 219 225 226 228 215 223.0014 218 214 212 215 213 214.0015 221 223 218 226 225 223.00
SUMATORI 3357 3352 3309 3337 3330 3337.0PROMEDIO 224 223 221 222 222 222.47
a) No má !" 1 "# 10 m$"%&a 'o& !"(ao !" *a &"+%"#,+a "'",+() N$"" !" ,a!a 10 m$"%&a "%a# 'o& "#,+ma !"* 100/ !" *a &"S" '+!" !+"a& 'o& "* m!$*o !" ,om+% !" 211 !" AI "* M%o!o !La ,a&a,%"&%+,a +,a !" *o a&"a!o o# *o +$+"#%"
DESCRIPCION AGREGADO FINOP"o "'",-,o 2.65P"o $#+%a&+o $"*%o ",o 1658 :;m3
P"o $#+%a&+o ,om'a,%a!o ",o 1622 :;m3
o#%"#+!o !" <$m"!a! 5 /Po&,"#%a" !" a(o&,+# 1.2 /
=
GRANULOMETRIA
E# *a ,o#%&$,,+o# !" $#a '&"a !" ,o#%"#+# "# o #"a!o !" ,<
&"+# !"%"&m+#a# $#a &"+%"#,+a !" !+"o !" 280 :;,m2 a *o
!" ,o*o,a,+# "* %+'o !" "%&$,%$&a '"&m+%"# %&a(aa& ,o# m",*a
,o&&"'o#!" a *a ,*a+-,a,+# !" BUENO "* *a(o&a%o&+o !" ,o#%&o*?
La "'",+-,a,+o#" !"* '&o",%o +#!+,a# C$" 'a&a *a "*",,+# !" *aa*%"&#a%+a
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AGREGADO FINOMALLA % RETENIDO % RET. A% PASA MALLA % RETEN 4 7 7 93 1 1;2 5N 8 6 13 87 1 12N16 18 31 69 3;4 40N 30 24 55 45 1;2 15
N 50 21 76 24 3;8 12N100 19 95 5 1;4 15o#o 5 100 0 N 4 1
277SOLUCION
Po& !a%o " a(" C$" *a &"*a,+# !" &"+%"#,+a !" 28 ; 7 > 1.25
F, 28 > G,28 > 1.25F,7 280
1 > 15 / H + "* ,o"-,+"#%" !" a&+a,+# !" *a ,om'aa
2 > ; J > !"+a,+# "%a#!a& !" *o !a%o !" *a(o&J > '&om!"+o !" *o !a%o !" "#ao
2 > 4.91 :;,m2
4.91063J 2 > 222.47
2 > 2.21 /
E#%o#," ,o"-,+"#%" !" a&+a,+# " +$a* a
> = H1K2 2K2)
> 15.1619 /
DETERMINANDO LA RESISTENIA REUERIDA PROMEDIO DE AUERDa) Pa&a C$" #o ma !" 1 !" ,a!a 10 m$"%&a "%"# 'o& !"(ao !" F
G,& > G, > 434.282 :;,m21 %
() 'a&a C$" 9 !" ,a!a 10 m$"%&a "%"# 'o& "#,+ma !" 100 / "F,& > H124.4 ; 100 ) 350 > 435.4 :;,m2
DETERMINANDO LA RESITENIA REUERIDA PROMEDIO DE AUERDO
a*,$*a#!o "* ,o"-,+"#%" !" a&+a,+# > = H1K2 2K2)
√ (Σ ( X - X)^2 ! - 1) "
H ; J ) J 100 >
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F,& > 326.44 :;,m2 F,& >
A.- DISE#O DE ME$CLA POR EL METODO ACI.
1) S&''! *& +'!,+!,.
La ,o#!+,+# #o !+," C$" "&á !" ,o+%"#,+a ",a a!"má "%a&á o#+!"&amo !" *a %a(*a a"#%am+"#%o !" 0 a 2 ,o# a+&" +#,o&'
2) E& ,++/ 0 !!+&. N + *15 13 34.
3) S&''!+ & '!,!* * +67+ & + +,+8+* * &+ ,a$a 145 *+%&o; m3A+&" 4.5/
4) S&''! * &+ &+'! +67+ '!,'o& &"+%"#,+a 'o& !$&a(+*+!a!
A; > 0.4 0.45
5) C+&'7& * '!,!* * '!,
,"m"#%o > A; 0.4 > 362.5 ;m3
:) S&''! *& 8; *& +66+* 67; (,+9&+) ; <7
> 2.77
100 ( HP"o $#+%a&+o ",o A. )A.. > (o HP"o $#+%a&+o OMPATADO A..)
0.74 2.6 2.770.72 2.8 0.02 0.2
> 0.17 > 0.017
0.7231192.95 :;m3
A&"a!o &$"o > 0.723 J PUOMP >
7) Ma%"&+a*" 'o& $#+!a! !" m"%&o ,Q(+,o362.5
"m"#%o 3150
145A$a 1000
4.5
A+&" 100
1192.95 >
m > / &"%"#+!o a,$m$*a!o
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A&"a!o &$"o 2680
o*$m"# 'a&,+a*
A66+* =! " 1 m3 o* 'a&,+a* !" ,o#,&"%o >
8) P"o !" !+"o !" *o ma%"&+a*".
,"m"#%o 362.5a$a 145a&"a!o &$"o 1192.95A&"a!o -#o 0.2498 P.E 1000 > 661.97
9) A'o&%" !" <$m"!a! !"* a&"a!o a* ,o#,&"%o
A&"a!o -#o 661.97 695.0685 695.07A&"a!o &$"o 1192.95 1?216.81 1216.81
10) o&",,+# 'o& <$m"!a!
A$a E",%+a 145 145 HH5
11) La 'o&,+# "# '"o !" *a o(&a H:)
,"m"#%o 362.5 1362.5
A&"#a -#a 695.069 1.91743362.5
A&"#a &$"a 1?216.8 3.356714362.5
A$a 100.76 0.28362.5
12) á*,$*o !" *a 'o&,+# "# o*$m"# !" o(&a .
,"m"#%o 362.5 8.52941242.5
A&"#a -#a 695.069 35.31 14.80271658
A&"#a &$"a 1216.81 35.31 24.950941722
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BLEMA
?) DISE
1) S"Q#
X - X (X - X )^2+!6
2.47 6.10 811.53 132.94 19 R > 11.35.47 29.92 104.47 19.98 112.47 6.10 10 2) *a,$*2.53 6.40 19 D > 4.90.53 0.28 152.53 6.40 132.53 6.40 15 J > 222.4675.53 30.58 9
4.47 19.98 6 2 > 2.202580.53 0.28 70.53 0.28 13 1 > 15
8.47 71.74 60.53 0.28 8 > 15.1608 15.2
337.66 169 3) á*,$*
4) *a,$*
,a!a.+%"#,+a "'",+-,a!a.
M!$*o !" -#"a !" *a ,om(+#a,+# !" a&"a!o.
AGREGADO GRUESO2.681722 :;m3
1650 :;m3
2.00 /0.4/
5) P"o !
6) o&&",
,a#%a !" 5300 m#m. La ,a&a,%"&+%+,a m+,a !" !+"o !" *a
!a 'a&a $#a &"*a,+# !" 28;7 > 1.25 . I$a*m"#%"?*a ,o#!+,+o#"
" ,o#+%"#,+a ",a@ "* ,o"-,+"#%" !" a&+a,+# 1 !" *a ,om'a+a
'a&a m$"%&a !" ,+#,o ,+*+#!&o ,om'a"&o? " o(%+"#" a 'a&%+& !"
&"+%"#,o+a '&om"!+o " !"("&á "*"+& *a mao& !" "%a !o
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AGREGADO GRUESOIDO % RET. A/ PASA
5 9517 8357 43 7) A$a "72 28
84 1699 1
100 0500746
8) P&o'o&"#%o#,".
F, 28 > 350 :;,m2
o&&"'o#!" a BUENA) !" *a %a(*a
%o&+o
9) P&o'o&
O OMIT EUROPEO ,.
# %a(*a.
AL OMIT 211 AI
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356.5794 :;,m2
$"%o a ,o#"*a,+# !"<+"*o. E#%o#,"?&a!o.
> 1 1;2
+9&+.
8.5294117613.9561745 1.641927.1818485 3.19786
12
TMN *7& * =!>+ *& A.F.
J '"o $#+%a&+o OMPATADO A. .
1192.95 :;m3
0.1151m3
0.145 m3
0.045 m3
0.4451m3
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.B52 m3
0.2498m3
:;m3*+%&o;m3:;m3:;m3
1.2) 661.94 H20.4) 1192.95) > 100.76
1 1. 3.4.2
1
1.735488409411.B312 &,; 8 9&;+
2.9252831048
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O DE ME$CLA POR EL METODO DE MODULO DE FINE$A DE LA COM?INACI@N
"* ,á*,$*o a#%"&+o&?a("mo C$"
"m"#%o 362.5 ;,m2 8.529411765
A$a 145 *+%&o;m3
A+&" 4.5 /
TMN 1 1;2m 2.77
!" m!$*o !" -#"a DE LA OMBINAIVN DE ARADOS
m > 746 > 7.46 WUSO100
D" *a %a(*a m, > 5.75
I%"&'o*a#!o 8 5.71 1 0.089 5.79 0.53
J > 0.0424
!"* a*o& & > m m, > 0.3646055437m m
!" ma%"&+a*" 'o& $#+!a! !" o*$m"#.
,"m"#%o 362.5 > 0.1150793651A$a 145 > 0.145A+&" 4.5 > 0.045
S$ma 'a&,+a* !" o*$m"# 0.3051
o*$m"# !" a&"a!o > 1 m3 0.305079 > 0.6949 m3
A&"a!o -#o > 0.6949 0.305079 > 0.2534 m3
A&"a!o &$"o > 0.6949 0.2530 > 0.4415 m3
!+"o !" a&"a!o
A&"a!o -#o > 671.5 :
A&"a!o &$"o > 1183.2 :
+# 'o& <$m"!a! !" *o a&"a!o
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A&"a!o -#o 671.5 705 ;m3A&"a!o &$"o 1183.2 1207 ;m3
",%+a
A$a "",%+a > a$a !" !+"o ,a#%+!a! !" a$a !" *o a&"a!o
A$a "",%+a > 101 *+%&o;m3
+o#" "# '"o !"* ,o#,&"%o !" *a o(&a
,"m"#%o 362.5 1362.5
A&"a!o -#o 705 1.9448275862362.5 11.3.3.2
A&"a!o &$"o 1207 3.3296551724
362.5
A$a "",%+a 101 0.2786206897362.5
+# "# o*$m"# !"* ,o#,&"%o !" *a o(&a
,"m"#%o 362.5 8.5294117647 142.5
A&"a!o -#o 671.5 35.31 14.3 1.6765517241658
1 1.B 2.A&"a!o &$"o 1183.2 35.31 24.3 2.848965517
1722
A$a "",%+a 101 101 11.84137931
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E AREGADO C) METODO ALER
1) SEXN DATOS ANTERIORES
TMN 1 1;2
m 2.77
m 7.46 1. A$a TABLA 3 H&"!o#!"a!o ) 155 *+%&o;m3
2. A+&" TABLA 2 HSEERA) 4.5 /
3. R"*a,+# A; RESISTENIA 0.4DURABILIDADA 0.45
4. Ya,%o& "m"#%o
,"m"#%o 388
5. o*$m"# !"* ,o#,&"%o 'a&a $#+!a! ,Q(+,a
,"m"#%o 388 >A$a 155 >A+&" 4.5 >
o*$m"# a( !" *a 'a%a
6. o*$m"# !"* a&"a!o 1 0.33 > 0.6768
7. o*$m"# !"* a&"a!o -#o %a(*a 7
,"m"#%o 9.129411765(o*am 2.77 3
9 1031 29
Po&,"#%a" !" a&"a!o -#o 29.25882353A&"a!o -#o > 0.19803168 >
A&"a!o &$"o > 0.4788 >
8. o&",,+# 'o& <$m"!a!
A&"a!o -#o 524.783952 551
A&"a!o &$"o 1283.099098 1309
7) A$a "",%+a
A$a "",%+a > a$a !" !+"o ,a#%+!a! !
A$a "",%+a > 115 *+%&o;m3
8) P&o'o&,+o#" "# '"o !"* ,o#,&"%o !" *a o(&a
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,"m"#%o 388388
A&"a!o -#o 551388
A&"a!o &$"o 1309388
A$a "",%+a 115388
9) P&o'o&,+# "# o*$m"# !"* ,o#,&"%o !" *a o(&a
,"m"#%o 38842.5
A&"a!o -#o 551 35.311658
A&"a!o &$"o 1309 35.311722
A$a "",%+a 115
1 1.3 2. 12.: &,; 8 9&;+
12 &,; 8 9&;+
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D) METODO DE CURA F
1) SEXN DATOS ANTERIOR
TMN
m
m 1. A$a TABLA 3 H&
2. A+&" TABLA 2 HSE
0 3. R"*a,+# A;
4. EMENTO
"m"#%o > 387.5
R"*a,+o# a$a
0.1232 a;, > 1;0.15500.0450 a;, > 1;2.46 >
.3232 "m"#%o >
2) D"%"&m+#a,+# !" *o a&
A > / A&"aB > / A&"a > / A&"
1 20.129411765 ALYA > H B
> 0.25882352929.26 / ALYA > HH 35.3
524.783952:;m3
1283.099098:;m3 ALFA "
BETA > 100
;m3
;m3 BETA > 100
?ETA "
a$a !" *o a&"a!o
5. o*$m"# !"* ,o#,&"%o 'a&
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,"m"#%o1 A$a
A+&"
1.42010309311.43.3.3 6. o*$m"# !"* a&"a!o
3.37371134 7. o*$m"# !"* a&"a!o -
/ A&"a!o -#o0.296391753 / A&"a!o &$
A&"a!o -#oA&"a!o &$
9.129411765 18. o&",,+# 'o& <$m"!a!
A&"a!o -#o11.73 1.284858247 A&"a!o &$
7) A$a "",%+a
26.8 2.93556701A$a "",%+a
115 12.59664948 A$a "",%+a
8) P&o'o&,+o#" "# '"o !"*
,"m"#%o
A&"a!o -#o
A&"a!o &$
A$a "",%+a
9) P&o'o&,+# "# o*$m"# !
,"m"#%o
A&"a!o -#o
A&"a!o &$
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A$a "",%+a
1 1.B 2.B 12.4 &,; 8
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LLER Genera una curva ponderada con
ES Pd = 100√d/D
1 1;2
2.77 Pd (porcentage que pasa la malla
7.46 d (abertura de la malla en referen
!o#!"a!o ) 155 *+%&o;m3 D (Tamaño maimo del agregad
RA) 4.5 /
RESISTENIA 0.4 0DURABILIDADA 0.45
,"m"#%o
> 0?007435.4 0?5 > 2.46
0.41155;0.41 > 378.0
a!o &$"o -#o 'o& m"%&o ,Q(+,o
o -#o C$" 'aa 'o& *a ma**a N 4 93 /o &$"o C$" 'aa 'o& *a ma**a N 4 0 /!o +!"a* C$" 'aa 'o& *a ma**a N 4 35.35 /
;H A B ) 100
5 0 ) ; H 93 0 )) 100
3.1 A. Y.
LYA
8.91
:1. APo&,"#%a" !"* a&"a!o &$"o 61.99Po&,"#%a" !"* a&"a!o Y+#o 38.01
a $#+!a! ,Q(+,a
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378.0 > 0.1200155 > 0.15504.5 > 0.0450
o*$m"# a( !" *a 'a%a .32
1 0.33 > 0.6800 1.0000
o %a(*a 7
> 38.01 o > 61.99
> 0.258444297 > 684.8773862 :;m3 o > 0.4216 > 1129.769285 :;m3
684.8773862 685 ;m3 o 1129.769285 1130 ;m3
> a$a !" !+"o ,a#%+!a! !" a$a !" *o a&"a!o
> 111 *+%&o;m3
,o#,&"%o !" *a o(&a
378.0487805 1
378.0487805
685 1.811935484
378.0487805 123.3.2
o 1130 2.989032258
378.0487805
111 0.293612903378.0487805
* ,o#,&"%o !" *a o(&a
378.0487805 8.895265423 142.5
685 35.315 14.59 1.640198387
1658
o 1130 35.315 23.2 2.608129032
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1722
111 111 12.47854839
9&;+
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la formula:
d) en MM
cia) EN MM N 4
) EN MM