CEMENTOS PERUANOS MARCA SOL
TIPO I
PESO ESPECIFICO 3.11
SUPERFICIE ESPECÍFICA(ca 2 /gr.) /gr.) 3500
ATLAS ATLAS
IP
2.97
5000
ANDINO
I
3.12
3300
ANDINO
II
3.17
3300
ANDINO
V
3.15
3300
PACASMAYO
I
3.11
3100
YURA
IP
3.06
3600
YURA
IPM
3.09
3500
RUMI IPM FUENTE : Di!"# $! M!%&'( )
5.
… 3800 ENRI*UE RIVVA LOPE+.
PASOS EN EN EL EL DISEÑO DE DE LA LA MEZCLA 5.1.
SECUENCIA DE DISEÑO
L# i,-i!/! (# ! i$!( -$(!/('! ! !' #&!# $! !'!&&i4 $! '( ##&i#! $! '( !%&'( (( ('&(%( '( #i!$($! $!!($( ! !' &!/#. E''# $!! !!&/-(! i$!!$i!/!!/! $!' #&!$ii!/# $!' $i!"# !'!&&i#($#. 1.
S!'!&&i#( '( !i/!&i( #!$i# !-!i$( (( #/!! ! #( '( !i/!&i( $!
$i!"# !!&ii&($( # !' #!&/i/( ! !/( !/(( ! $!! /!! ! &-!/( '( $!i(&i4 !/$( !/$( !' !i&i!/ !i&i!/! ! $! (i(&i4 $! '( (";( /-&/# /-&/#( ( (; # !' ,($# ,($# $! /#' /#' -! ! <( $! !=!&! ! #(. 2.
S!'!&&i#( ! -&i4 $! '( &((&/!;/i&( $!' !'!!/# !/-&/-(' $!' i/!(
$! '#&(&i4 $!' &!/# !' /(("# >i# #i(' $!' (,!,($# ,-!#. 3.
E'!,i E'!,i '( i/!&i i/!&i( ( $! $! '( '( !%&'( !%&'( !>! !>!('( ('( ! -&i4 -&i4 $!' (!/(i!/ (!/(i!/# # $! $! '( '(
i i(. (. S! /!$ /!$ ! i$ i$! !(& (&i4 i4 !/ !/! ! #/# #/# (&/ (&/# #! ! '( /( /((=( (=(i' i'i$ i$($ ($ $!! $!!($ ($( ( '( &((&/!;/i&( $! '# !'!!/# !/-&/-('! !/-&/-('! '( (&i'i$($! $! '#&(&i4 (&/(&i4 (&/(&i4 $!' &!/#.
?.
D!/!i( !' #'-! $! (,-( $! !%&'($# # -i$($ $! #'-! $!' &!/#
i$!($# !' /(("# >i# #i(' $!' (,!,($# ,-!# '( i/!&i( $!!($( '( !!&i( $! (i! i#($# # (/(($# ! '( !%&'(. 5.
D!/!i( !' #&!/(=! $! (i! (/(($# # !' $! (i! /#/(' !,@ ! /(/! $!
&!/# #('! # $! &!/# ! '# -! !>#!(!/! # (%#! $! $-(i'i$($ ! <( i#($# (i! !$i(/! !' !'!# $! - ($i/i#. 6.
S!'!&&i#( '( !'(&i4 (,-()&!!/# !-!i$( (( #/!! '( !i/!&i( $!!($(
! !' !'!!/# !/-&/-('. S! /!$ ! i$!(&i4 '( !i/!&i( #!$i# !'!&&i#($( '( !!&i( # (-!&i( $! (i! i#($#. 7.
S!'!&&i#( '( !'(&i4 (,-()&!!/# !-!i$( # $i&i4 $! $-(i'i$($. S!
/!$ ! i$!(&i4 '# $i!!/! (,!/! i/!# !>/!# -! #$;( (/!/( /( '( i$( $! '( !/-&/-(. 8.
S!'!&&i#( '( !# $! '( !'(&i#! (,-()&!!/# !'!,i$( # !i/!&i(
$-(i'i$($ ,((/i%($# !''# -! ! #/!$ ! '( !/-&/-( '( !i/!&i( ! !i4 !&!(i( '( $-(i'i$($ !-!i$(. 9.
D!/!i( !' (&/# &!!/# # -i$($ &@i&( $!' &!/# ! -&i4 $!' #'-!
-i/(i# $! (,-( $! '( !'(&i4 (,-()&!!/# !'!&&i#($(. 10.
D!/!i( '( ##&i#! !'(/i( $! '# (,!,($# i# ,-!#. L( !'!&&i4
$! '( &(/i$($ $! &($( -# $! !''# ! '( -i$($ &@i&( $! &!/# !/( $i&i#($( (' #&!$ii!/# $! $i!"# !'!&&i#($#. 11.
D!/!i( !'!($# !' /#$# $! $i!"# !'!&&i#($# '( ##&i#! $! '(
!%&'( i$!($# -! !' (,!,($# !/( ! !/($# ! -! !' #'-! -i/(i# $! (,-( # <( i$# !,i$# # <-!$($ $!' (,!,($#. 12.
C#!,i $i&<( ##&i#! ! -&i4 $!' #&!/(=! $! (#&i4 !' /!i$#
$! <-!$($ $! '# (,!,($# i# ,-!#. 13.
A=-/( '( ##&i#! !'!&&i#($( $! (&-!$# ( '# !-'/($# $! '# !(#
$! '( !%&'( !('i%($# ! !' '(#(/#i#. 1?.
A=-/( '( ##&i#! i('! $! (&-!$# ( '# !-'/($# $! '# !(#
!('i%($# (=# $i&i#! $! #(.
5.2.
RECOMENDACIÓN ESPECIAL
S!( &-(' -!! !' /#$# $! $i!"# !'!($# (; # !' !# # (# ,($# $! !i(i!/# -! ! ('i-! ! !' i# !' &!/# !-'/(/! $!! i!! i$!(! # - (/!i(' $! !(# &-( ##&i#! $!ii/i( ! !/('!&! ! -&i4 $! '# !-'/($# $! '( !>!i!&i( $! '(#(/#i# '( $i&i#! $! /((=# ! #(.
.
CALCULO DE LA RESISTENCIA PROMEDIO
1.
L( !i/!&i( ( '( !i4 #!$i# !-!i$( '( &-(' <( $! !'!(! #
(! (( '( !'!&&i4 $! '( ##&i#! $! '( !%&'( $! &!/# $!! ! !' (# $! '# ('#! #/!i$# ( (/i $! '( #'-&i4 $! '( !&-(&i#! B6.1. 4 B6.2.. & & 1.3? B6.1. & & 2.33 ) 35 B6.2. I,-('!/! '( !i/!&i( #!$i# -!$! #/!!! $i!&/(!/! ( (/i $! '# ('#! $! '( /('( B6.1. !/($# ( '( i( !' ('# $! '( $!i(&i4 !/$( $! '( !i/!&i( $! $i!"# !!&ii&($(. 1.
C-($# # ! &-!/( - !,i/# $! !-'/($# $! !(# -! #ii'i/! !'
&'&-'# $! '( $!i(&i4 !/$( '( !i/!&i( #!$i# !-!i$( $!! ! $!/!i($( !'!($# '# ('#! $! '( /('( B6.2.1.
RESISTENCIA A LA COMPRESIÓN PROMEDIO Ta!"a .2.1. F #c MENOS DE 210
F #cr F H & 70
210 A 350
F H & 8?
SOGRE 350 F H & 98 FUENTE : Di!"# $! M!%&'( ) ENRI*UE RIVVA LOPE+.
$.
SELECCIÓN DEL TAMAÑO M%&IMO NOMINAL DEL A'RE'ADO 'RUESO $.1. 1.
DEFINICIONES L( N#( ITINTEC ?00.037 $!i! (' /(("# >i#J # (-!' -!
!#$! (' !# /(i% # !' -! (( /#$( '( -!/( $! (,!,($# ,-!#J. 2.
L( N#( ITINTEC ?00.037 $!i! (' /(("# >i# #i('J # ( (-!' -!
!#$! (' !# /(i% $! '( !i! -/i'i%($( -! #$-&! !' i! !/!i$#J. 3.
L( /('( 7.1.3. P!!/( '( &-( ,(-'#/i&( -! !#$! ( /(("#
>i# #i('! !$i$# !/! 2K 38J. E/( /('( !#$! ( '( &'(ii&(&i4 $! '( #( ASTM C 33.
TALA $.1..
Ta*a+, PORCENTAES UE PASAN POR LAS SI'UIENTES MALLAS. M-*, 2
1
1
3?
12
38
N ?
N 8
2
95)100
)
35)70
)
10)30
)
0.5
)
1
100
95)100
)
35)70
)
10)30
0.5
)
1
)
100
95)100
)
25)60
)
1.0
0.5
3?
)
)
100
90)100
)
20)55
0.1
0.5
12
)
)
)
100
90)100
?0)70
0.15
0.5
10)30
0.1
N,*0a"
38 ) FUENTE :
$.2. 1.
) ) Di!"# $! M!%&'( )
) 100 85)100 ENRI*UE RIVVA LOPE+.
CRITERIOS DE SELECCIÓN E '( !'!&&i4 $!' /(("# >i# #i(' $!' (,!,($# ,-!# !' I,!i!#
$!! /!! ! i$!(&i4 -! !' &!/# $!! ! '#&($# i $ii&-'/($ ! '# !($# -! ! /#$# '# '-,(! $! !''# !!&i('!/! !-i( ,-'# !(&i# !/! (( $-&/# !'!!/# !!i$# !&&i#! ('/(!/! !#%($( (!$! $! !($# # $!! -!$( !(&i# (&;# i &(,!=!(.
3.
SELECCIÓN DEL ASENTAMIENTO 3.1. 1.
CRITERIOS %SICOS L( i/!&i( ! (-''( #i!$($ $!' &!/# # !$-!&i$# -! $!i! !'
,($# $! <-!$($ $! '( !%&'(. D! (&-!$# ( - i/!&i( '( !%&'( $! &!/# ! &'(ii&( !: (
M!%&'( !&( (-!''( &-# (!/(i!/# !/( !/! 0 $# -',($( B0 (
M!%&'( '/i&( (-!''( &-# (!/(i!/# !/( !/! 3 ? -',($( B75
50 ( 100
&
M!%&'( '-i$( (-!''( &-# (!/(i!/# !/( !/! 5 ( -',($( B(#
$! 125 2.
E>i/! $i!!/! /#$# $! '(#(/#i# (( $!/!i( '( i/!&i( $! '(
!%&'( $! &!/#. D! /#$# !''# ! i$!( -! !' !(# $! $!/!i(&i4 $!' (!/(i!/# !$i$# !' C## $! A( ! (-!' -! $( -( !=# i$!( $! '( &((&/!;/i&( $! '( !%&'( $! &!/# (=# $i&i#! $! #(.
3.2.
SELECCIÓN DEL ASENTAMIENTO
S! #$ -/i'i%( ! #( &!/# ' (!/(i!/# $i!!/! $! '# i$i&($# i!! -! ! &-!/! (-/#i%(&i4 !&i/( $! '( i!&&i4.
TALA 3.2.
ASENTAMIENTOS
TIPO DE CONSTRUCCIÓN MA&IMO +((/( -# $! &i!/(&i4 (($# 3K Ci!/(&i#! i'! &(=#! -!/-&/-( $! -# 3K Vi,( -# (($# ?K C#'-( $! !$ii&i# ?K L#( (i!/# 3K C#&!/# &i&'4!# 2K FUENTE : Di!"# $! M!%&'( ) ENRI*UE RIVVA LOPE+.
4.
MINIMO 1K 1K 1K 1K 1K 1K
SELECCIÓN DEL OLUMEN UNITARIO DE A'UA 4.1.
CONSIDERACIONES 'ENERALES
1. L( !'!&&i4 $!' #'-! -i/(i# $! (,-( ! !i!! ( '( $!/!i(&i4 $! '( &(/i$($ $! (,-( -! ! $!! i#( ( '( !%&'($#( # -i$($ &@i&( $! &!/# (( #/!! -( i/!&i( $!/!i($( &-($# !' (,!,($# !/( (' !/($# !. 2. N# !!/$#! ,!!('!/! !' (,!,($# (' !/($# ! '( &(/i$($ $ (,-( !'!&&i#($( $!! #/!i#!/! ! !,i$( ! -&i4 $!' #&!/(=! $! (#&i4 /!i$# $! <-!$($ $!' (,!,($#. 3. E' #'-! -i/(i# $! (,-( ( (/i $!' &-(' #&i!$# '( !'(&i4 (,-()&!!/# !!&/i( ! #i'! &('&-'( !' (&/# &!!/# ! -&i4 -$(!/(' $! '( &((&/!;/i&( ;i&( $!' (,!,($# $! '( i/!&i( !'!&&i#($( $!' /!i$# $! (i! $! '( !%&'(.
4.2. 1.
CRITERIOS DE LA SELECCIÓN L( /('( 9.2.1. Q( i$# !(($( ! (! ( '( !!$(&i#! $!' i/ 211 $!'
ACI. E''( !i/! !'!&&i#( !' #'-! -i/(i# $! (,-( (( (,!,($# (' !/($# ! ! &!/# !(($# i (i! i#($# /!i!$# # (&/#! ( ! i$!($# '( i/!&i( -! ! $!!( (( '( !%&'( !' /(("# >i# #i(' $!' (,!,($# ,-!# !'!&&i#($#. 2.
D!!$i!$# $! '( /!>/-( !i' $!' (,!,($# ,-!# '# !-ii/# $! (,-( $($#
! '( /('( 9.2.1. P-!$! ! (',# ('/# # (=# -! '# ('#! !&!(i# !# # -i&i!/!!/! !,-# (( -( i!( !/i(&i4.
4.. 1.
CONSIDERACIONES COMPLEMENTARIAS E' i,!i!# $!! !$( -! !>i/! $i!!&i( !/! '# &!/# $! !'(&i4 (,-()
&!!/# V#'-! -i/(i# $! (,-(. E' i!# $! !''# $! /(/( $! i=( '( &(/i$($ $! (,-( ( ! ("($i$( ( '( !%&'( # ( $! &!!/# (( #/!! -( !i/!&i( $!/!i($(. E' !,-$# &!/# ! !i!! ( '( &(/i$($ $! (,-( $! '( !%&'( # -i$($ &@i&( $! &!/#. 2.
M(/!i$#! #/( $i&i#! (('! '( &(/i$($ $! (,-( $! '( !%&'( !
!$-&! #! !' /(("# >i# $!' (,!,($# ! i&!!/(. I,-('!/! '( /!>/-( -,#( '# !i'! (,-'(! !-i!! ( (,-( -! '( /!>/-( -(! # '# !i'! !$#$!($#. 3.
E/( &(/i$($! $! (,-( $! !%&'($# $($( # '( /('( 9.2.1.! !'!(( (( '(
$!/!i(&i4 $!' /!i$# $! &!!/# ( ! -/i'i%($# ! !%&'( $! -!( !(($( ( /!!(/-( !/! 20C 25C. ?.
L# ('#! i$i&($# ! '( /('( 9.2.1. S# '# >i# ( ! -/i'i%($# &-($# !
!'!( (,!,($# ,-!# (,-'( (%#('!!/! i! !i'($# ,($-($# $!/# $! '# ';i/! #-!/# # !!&ii&(&i#! (&!/($( BASTM C 33 ITINTEC ?00.037. E' (,!,($# ,-!# !$#$!($# ,!!('!/! !-i!! 18 L/. M!# (( &!/# i (i! i#($# 15 L/. !# (( &!/# (i! i#($#.
TALA 4.2.1. A!/(i!/#
A,-( ! 13 (( '# /(("# (>. #i('! $! (,!,($#
-!# i/!&i( i$i&($#. 38 122 3? 1 1 12K C#&!/# i (i! i#($# 1K ( 2K 207 19 190 179 166
2K
3K
6K
15?
130
113
3K ( ?K
228
216
205
193
181
169
1?5
12?
6K ( 7K 2?3 228 216 C#&!/# (i! i#($#
202
190
178
160
…
1K ( 2K
181
175
168
160
150
1?2
122
107
3K ( ?K
20
193
18?
175
165
157
133
119
6K( 7K 216 205 197 18? 17? 166 FUENTE : Di!"# $! M!%&'( ) ENRI*UE RIVVA LOPE+.
15?
…
E/( /('( <( i$# !&&i#($( # !' i/ 211 $!' ACI. L# ('#! $! !/( /('( ! !'!(( ! '( $!/!i(&i4 $!' (&/# &!!/# ! !%&'( !'ii(! $! -!(. S# ('#! >i# !#$! ( (,!,($# ,-!# $! !i' (,-'( ,(-'#!/;( !$i$( $!/# $! '# ';i/! $! '( N#( ASTM C 33.
16.
SELECCIÓN DEL CONTENIDO DE AIRE 16.1.
CONSIDERACIONES 'ENERALES
1.
L( --=( $! (i! -!$! !/( !!/! ! '( (/( # !-'/($# $! '(
#!(&i#! #i( $!' #&!# $! -!/( ! #( ! &-# &(# ! '! #&! # (i! (/(($# # (i! (/-(': # -!$! !/(! ! '( !%&'( $!i$# ( -! <( i$# i/!&i#('!/! i#($( ( !''( ! &-# ! '! #&! # (i! i#($#. S! $!#i( (i! /#/(' ( '( -( $! '# #'@!! $! (i! (/(($# ( (i! i#($# !!/! ! -( !%&'( $($(. 2.
E '# &!/# i!! <( - !-!"# #&!/(=! $! (i! (/(($# !' &-('
$!!$! $!' (#/! $! '# (/!i('! '( $i&i#! $! #!(&i4 '( ,(-'#!/;( /(("# >i# $!' (,!,($#. L( --=( $! (i! (/(($# ! &((&/!i%( # - $i!/# &!&(# ( 1 - !i' i!,-'(.
16.2.
SELECCION DE CONTENIDO DE AIRE ATRAPADO
L( /('( 10.2. D( !' #&!/(=! (#>i($# $! (i! (/(($# ! !%&'( i (i! i#($# (( $i!!/! /(("# >i# #i('! $! (,!,($# ,-!# ($!&-($(!/! ,($-($# $!/# $! '# !-ii/# $! '( N#( ITINTEC ?00.037 ASTM C 33.
TALA 16.2. CONTENIDO DE AIRE ATRAPADO Ta*a+, M-*, N,*0a" 38K 12K 3?K 1K
Ar7 A8ra9a:, 3.0 2.5 2.0 1.5
1 12K 1.0 2K 0.5 3K 0.3 6K 0.2 FUENTE : Di!"# $! M!%&'( ) ENRI*UE RIVVA LOPE+.
11. SELECCIÓN DE LA RELACION A'UA;CEMENTO POR RESISTENCIA 11.1.
CRITERIOS ASICOS
1.
D!$! -! '( (#;( $! '( #i!$($! $!!('! ! !' &!/# !$-!&i$#
$!!$! $! '( &('i$($ $! '( (/( #$-&/# i(' $!' #&!# $!
L( !'(&i4 (,-()&!!/# !-!i$( # -( !%&'( $! &!/# ! -&i4 $! '(
!i/!&i( $-(i'i$($ !-ii/# $! (&(($# $!' i#. 3.
L( !'(&i4 (,-()&!!/# $! $i!"# -! ! !' ('# ( ! !'!&&i#($# $! '(
T('( ! !i!! ( '( &(/i$($ $! (,-( -! i/!i!! ! '( !%&'( &-($# !' (,!,($# !/( ! $i&i4 $! (/-($# -!i&i('!/! ! ! $!&i -! # /#( i (#/( (,-(. L( !'(&i4 (,-()&!!/# !!&/i( ! !i!! ( '( &(/i$($ $! (,-( $! '( !%&'( &-($# ! /i!! ! i$!(&i4 '( $i&i4 !(' $! <-!$($ $!' (,!,($#.
11.2.
CRITERIOS EN LA SELECCIÓN
L( /('( 11.2. E -( ($(/(&i4 $! '( !&&i#($( # !' i/ 211 $!' ACI. E/( /('( $! '( !'(&i#! (,-()&!!/# ! !# >i( !ii'! (( $i!!/! ('#! $! '( !i/!&i( #!$i# ( !( -! ! /(/! $! &!/# i # (i! i#($#. E/( /('( $! ('#! (#>i($# !'(/i(!/! !($#! (( &!/# &!!/# P4/'($ #(' /i# I. P(( (/!i('! -! &-'! '( N#( ASTM C 33 4 ITINTEC ?00.037 L( !'(&i#! (,-()&!!/# $! !/( /('( $!!;( !i/i #/!! '( !i/!&i( i$i&($( '( &-('! !#$! ( #!/( !(($( ( '# 28 $;( $! (&i($( $!- $! ! &-($( (=# $i&i#! !/$( $! '(#(/#i#.
TAGLA 11.2. FH &
R!'(&i4 (,-()&!!/# $! $i!"# ! !#
B28 $;( 150 200
C#&!/# i (i! i#($# C#&!/# (i! i#($# 0.80 0.71 0.70 0.61
250 0.62 0.53 300 0.55 0.?6 350 0.?8 0.?0 ?00 0.?3 … ?50 0.38 … FUENTE : Di!"# $! M!%&'( ) ENRI*UE RIVVA LOPE+. L( !'(&i#! (,-()&!!/# ! (( ! /(("# >i# #i('! $!' (,!,($# ,-!# !$i$# !/! 3?K 1K.L( !i/!&i( #$-&i$( # -( !'(&i4 (,-()&!!/# $($( $!! i&!!/(! #! (' /(("# >i# #i(' $ii-!.
12.
CALCULO DEL CONTENIDO DEL CEMENTO 12.1. 1.
PROCEDIMIENTO DE C%LCULO Si '( !!&ii&(&i#! $! #( i$i&( - /!i$# ;i# $! &!!/# ($!
$! (-!' -! -!$! <(! i$# !'!&&i#($# ( (/i $! '# !-ii/# $! $-(i'i$($ # !i/!&i( $!! !'!,i! (-!' $! '# &i/!i# -! $ !' (# /!i$# $! &!!/#. 2.
E !!$('! -! '( $!/!i(&i4 i(' $!' /!i$# $! &!!/# ! -(
!%&'( ! (! ! -!( !('i%($( (=# $i&i#! $! #( $!i!$# ,((/i%(! # !' /-&/# -! ! <( $! #/!! /#$( '( #i!$($! $!!($( ! !' &!/#.
1.
SELECCIÓN DEL A'RE'ADO 1.1. 1.
CONCEPTOS 'ENERALES L( !'!&&i4 $! '( ##&i#! $! '# (,!,($# i# ,-!# ! '( -i$($
&@i&( $! &!/# /i!! # i('i$($ #/!! -( !%&'( ! '( -! - ;i# /!i$# $! (/( ! -!$( #/!! '( #i!$($! $!!($( ! !' &!/#. P(( !''# ! $!!('! -! '( ,(-'#!/;( /#/(' $! '( (/;&-'( $!' (,!,($# !( /(' -! !' #'-! $! (&;# # !(&i# !/! (/;&-'( !( ;i#. 2.
C## '( !>!i!&i( <( $!#/($# -! '( ,(-'#!/;( i$!(' # !>i/! ! '(
&/i&( -# $! '# #'!( -$(!/('! $!' $i!"# $! !%&'( ! $!/!i( (-!''( i(&i4 $! (,!,($# i# ,-!# -! !-i!! !' ;i# $! (/( (' i# /i!# -! !i/! #/!! '( #i!$($! $!!($(. 3.
N# !>i/! -( ,(-'#!/;( /#/(' -! !( '( ($!&-($( (( /#$( '(
$i&i#! $! #( $($# -! '( /!$!&i( $!' &!/# ( !,!,( (;( '( &((&/!;/i&( $! '( !%&'(. P# !''# '( !'!&&i4 $! '( ##&i#! !'(/i( $! (,!,($# i# ,-!# -! i/!i!! ! '( -i$($ &@i&( $! &!/# ! -$(!/('!/! '( !'!&&i4 $! -( ##&i4
($!&-($( $! (,!,($# i# -! ,((/i&! ( '( !%&'( -(
E '( !'!&&i4 $! '( ##&i#! $! '# (,!,($# i# ,-!# i/!i!! $!
(!( -$(!/(' '( !>!i!&i( $!' $i!"($# $! '( !%&'( '( i( -! ! '!!/( '( (-$( $! /('( ,i.
1.2. 1.
SELECCIÓN DEL CONTENIDO DE A'RE'ADO 'RUESO E' i/ 211 $!' ACI (/! $!' &i/!i# -! (,!,($# ,-!# $! /(("# >i#
#i(' ,(-'#!/;(
!!&i('!/! ii'(! $!! !i/i #/!! &!/# $!
/((=(i'i$($ (/i(&/#i( &-($# - $!/!i($# #'-! $! (,!,($# ,-!# ! $i&i#! $! ! (&/($# ! !'!($# # -i$($ $! #'-! $!' &!/#. 2.
L( /('( 13.2. E'(#($( # !' i/ 211 $!' ACI ! -&i4 $!' /(("# >i#
#i(' $!' (,!,($# ,-!# $!' #$-'# $! i!%( $!' (,!,($# i#. E''( !i/! #/!! - !i&i!/! R!-'/(/! $! '( $iii4 $!' !# ! $!' (,!,($# ,-!# !-!i$# # '( - i$($ &@i&( $! &!/# !/! !' !# -i/(i# ! (i''($# $!' (,!,($# ,-!# !>!($# ! ,. 3. 3.
U !>(! $!/!i$# $! '( /('( 13.2. P!i/! (!&i( -! i$!!$i!/!!/!
$! '( !i/!&i( $!!($( # $! '( i-!%( $! '( !%&'( (( i,-(' /((=(i'i$($ '( &(/i$($ $! (,!,($# ,-!# ! - #'-! -i/(i# $! &!/# ! <(&! $!!$! @i&(!/! $!' /(("# >i# #i(' $!' (,!,($# ,-!# $!' #$-'# $! i!%( $!' (,!,($# i# ! (/i!! /(/! (( /!i$# $! &!!/# ('#! $! !i/!&i( ! !i4 $i!!/!. ?.
P(( &!/# /((=('! '# &-('! -!$! ! !-!i$# (( '(
'#&(&i4 # #!# # &-($# !' &!/# $!! ! /((=($# ! %#( $! ,( ,!/i4 $! (&!# $! !-!%# -!$! ! !!$('! !$-&i ! - 10 !' /!i$# $! (,!,($# ,-!# !/i($# !'!($# '( /('( E !/! &(# i !(,# $!! /#(! !&(-&i#! (( ,((/i%( !' (!/(i!/# !i/!&i(
!'(&i4 (,-()&!!/# ( i $! -! !''# !( $(/! '(
!!$(&i#! $($( ! '# &(;/-'# !!&/i# ! &-'( ($! '# !-ii/# $! '( !!&ii&(&i#! $!' #!&/#.
1.. SELECCIÓN DE LAS PROPORCIONES DEL A'RE'ADO FINO 1.
L# !/-$i# !('i%($# !i/! !/i( -! -!$! ! !&!(i# !' !'!# $!
-( (# ##&i4 $! (,!,($# i# ! '( !%&'( ! '# i,-i!/! &(#:
(
C-($# '( !%&'( !&!i/( ! (
!,!,(&i4 -! #$;( #i,i(! # /(#/! i($!&-($# $!' &!/# # # ('# #&!$ii!/# $! '#&(&i4.
C-($# !' &!/# <( $! ! #!($# # '#&($# (=# (,-(.
&
C-($# '( !&&i4 ( ! (&i($( ! !-!"( ! !'(&i4 (' /(("# >i#
#i(' $!' (,!,($#. $
C-($# '( !&&i4 ( ! (&i($( /i!! -&<( !-i( '( (#;( $! '( &-('!
# # !$#$!($(. !
C-($# '( !&&i4 ( ! (&i($( ! ('/(!/! !#%($(.
C-($# !>i/! '( #ii'i$($ $! -! # (%#! $! #$! /-&/i# !' &!/#
# '( #&i4 #/!# $!' i# -!$! !&(( ( /( $! '# $i#i/i# $! $!&(,( # $! '( =-/( !!/! ! !' !($#. 2.
E !'(&i4 !' (,!,($# i# ! <( $!/!i($# -! ! !-i!! -( (# ##&i4
$! (,!,($# i# (( #/!! - $!/!i($# ,($# $! /-( -,#(. & E' /(("# >i# $!' (,!,($# ! !-!"#. $ L( !%&'( $!! /!! ('/( /((=(i'i$($. ! L( !'(&i4 (,-()&!!/# ! ('/(. 3.
E (-!''# &(# ! '# -! !>i/! $-$( !!&/# ( '( ##&i4 $! (,!,($#
i# ( ($!&-($( ! i$!( !i!/! !'!( '( ##&i4 ( ('/( $($# -! !''( (--! i&!!/(( 'i,!(!/! '( i-!%( $! '( !%&'( ##&i#( ($!&-($( #/!&&i4 /( '( /((=(i'i$($ !i/($# -( #! (&/(&i4 ' ( ((i&i4 $! &(,!=!(. ?.
E' /#$# $!' i/ 211 ACI $!/!i( !' #'-! (#'-/# $! (,!,($# i# #
$i!!&i( !/! '( -i$($ '( -( $! '# #'@!! (#'-/# $! &!!/# (,-( $! $i!"# (i! (,!,($# ,-!# !. E' #'-! (#'-/# # #'-! $!'(%($# # '# $i!!/! i,!$i!/! $! '( -i$($ &@i&( $! &!/# #&i$# /(i # #'@!! $! 4'i$# ! i,-(' (' !# -! !/( $i&<# (/!i(' ! '( -i$($ &@i&( $! &!/# $ii$i$# !/! - !# 4'i$# $!ii$# !/! -'/i# # !' #$-&/# $!' !# !!&ii $!' (/!i(' # !' !# -i/(i# $!' (,-(.
TALA 1.2. PESO DEL A'RE'ADO 'RUESO POR UNIDA DE OLUMEN DEL CONCRETO Ta*a+, M-*,
,"<*70 :7 agr7ga:, gr<7=,> =7c, ? c,*9ac8a:,> 9,r <0:a: :7"
N,*0a" :7" Agr7ga:,,"<*70 :7" c,0cr78,> 9ara :@7r=,= *:<",= :7 B07a :7" B0,. 2.?0. 2.60. 2.80. 3.00. 'r<7=, 38K 0.50 0.?8 0.?6 0.?? 12K 0.59 0.57 0.55 0.53 3?K 0.66 0.6? 0.62 0.60 1K 0.71 0.69 0.67 0.65 1 12K 0.76 0.7? 0.72 0.70 2K 0.78 0.76 0.7? 0.72 3K 0.81 0.79 0.77 0.75 6K 0.87 0.85 0.83 0.81 FUENTE : Di!"# $! M!%&'( ) ENRI*UE RIVVA LOPE+. E' (,!,($# ,-!# ! !&-!/( ! '( $i&i4 $! ! (&/($# /(' # ! $!ii$( # '( N#( ASTM C 29.
1.
SELECCIÓN DE LAS PROPORCIONES DEL CONCRETO METODO DEL COMIT 211 DEL ACI 1.1.
CONCEPTOS 'ENERALES
1.
E' i/ 211 $!' ACI <( $!(#''($# - #&!$ii!/# $! $i!"# $! !%&'(
(/(/! i'! !' &-(' ($#! ! (',-( $! '( /('( !!/($( ! &(;/-'# (/!i#! !i/! #/!! ('#! $! '# $i!!/! (/!i('! -! i/!,( '( -i$($ &@i&( $!' &!/#. 2.
E' #&!$ii!/# (( '( !'!&&i4 $! '( ##&i#! -! ! !!/( ! !/!
&(i/-'# ! ('i&('! ( &!/# $! !# #(' ( '( $i&i#! -! (( &($( -( $! '( /('( ! i$i&( ! !''(. A--! '# i# $(/# i #&!$ii!/# -!$! ! !'!($# ! !' $i!"# $! &!/# !($# &!/# &i&'4!# (' /(/( !/# ! $( '( i#(&i4 '!!/(i(. 3.
E --(' -! '( &((&/!;/i&( $! #( !/('!%&( 'ii/(&i#! ( -i! /i!! '(
!#(i'i$($ $! $i!"( '( !%&'(. E/! $i &<( 'ii/(&i#! -!$! !/(:
R!'(&i4 (,-()&!!/# >i(.
C#/!i$# ;i# $! &!!/#.
C#/!i$# >i# $! (i!.
A!/(i!/#.
T(("# >i# #i(' $!' (,!,($# ,-!#.
R!i/!&i( ! !i4 ;i(.
R!-ii/# !!&i('! !'(&i#($# '( !i/!&i( #!$i# !' !'!#
$! ($i/i# # '( -/i'i%(&i4 $! /i# !!&i('! $! &!!/# # (,!,($#.
3.
L( !/i(&i4 $! '( &(/i$($! $! (/!i('! !-!i$( (( !(( -(
-i$($ &@i&( $! &!/# i'i&( -( !&-!&i( &-# &-'ii!/# !i/! ! -&i4 $! '( &((&/!;/i&( $! '# (/!i('! !(( '( !%&'( ($!&-($( (( !' /((=# -! ! ( ( !!&/-(.
1.2.
SECUENCIA DE DISEÑO
1.
I$!!$i!/!!/! -! '( &((&/!;/i&( i('! $!' &!/# !( i$i&($( !
'( !!&ii&(&i#! # $!=($( (' &i/!i# $!' #!i#(' !#('! $!' $i!"# $! !%&'( '( &(/i$($! $! (/!i('! # !/# &@i $! &!/# -!$! ! $!/!i($( &-($# ! !'!( !' M/#$# $!' C#i/ 211 $!' ACI i,-i!$# '( !&-!&i( -! ( /i-(&i4 ! i$i&(:
S!'!&&i4 $! '( !i/!&i( #!$i# ( (/i $! '( !i/!&i( ! C#!i4 !!&ii&($( '( $!i(&i4 !/$( $! '( (";( /-&/#(.
S!'!&&i4 $! /(("# >i# #i(' $!' ( ,!,($#.
S!'!&&i4 $!' (!/(i!/#.
S!'!&&i4 $! #'-! -i/(i# $!' (,-( $! $i!"#.
S!'!&&i4 $!' /!i$# $! (i!.
S!'!&&i4 $! '( !'(&i4 (,-()&!!/# # !i/!&i( # D-(i'i$($.
D!/!i(&i4 $!' (&/# &!!/#.
D!/!i(&i4 $!' /!i$# $! (,!,($# ,-!#.
D!/!i(&i4 $! '( -( $! '# #'@!! (#'-/# $! C!!/# (,-( $! $i!"# (i! (,!,($# ,-!#.
D!/!i(&i4 $!' #'-! (#'-/# $! (,!,($# i#.
D!/!i(&i4 $!' !# ! $!' (,!,($# i#.
D!/!i(&i4 $! '# ('#! $! $i!"# $!' &!!/# (,-( A,!,($# Fi# (,!,($# ,-!#.
C#!&&i4 $! '# ('#! $! $i!"# # <-!$($ $!' (,!,($#.
D!/!i(&i4 $! '( ##&i4 ! !# $! $i!"# $! #(.
D!/!i(&i4 $! '# !# # /($( $! - (.
1..
DISEÑO DE MEZCLA 1
1.
E=97cBcac,07=
S! $!!( &('&-'( '( ##&i#! $! '# (/!i('! i/!,(/! $! -( !%&'( $! &!/# ( ! !'!($( ! '( i,( '-( $! - !$ii&i# $! $!(/(!/# ( ! /-i$# ! '( &i-$($ $! T(&(. L( !!&ii&(&i#! $! #( i$i&(: (
N# !>i/! 'ii/(&i#! ! !' $i!"# # !!&i( $! #&!# $!
,!'(&i4 !!&i( $! i4 &'#-# # (/(-! # -'(/#.
L( !i/!&i( ! !i4 $! $i!"# !!&ii&($( ! $! 210 ,.& 2 (
'# 28 $;(. L( $!i(&i4 !/$( 20 ,. &2 . &
L( $i&i#! $! '#&(&i4 !-i!! -! '( !%&'( /!,( -(
i/!&i( '/i&(. $
2.
E' /(("# >i# #i(' $!' (,!,($# ,-!# ! $! 1 12K.
Ma87ra"7= 1.
2.
C!!/#:
P4/'($ ASTM Ti# 1 S#'J
P!# !!&ii…………….3.15
A,-(:
P#/('! $! '( !$ $! !i&i# @'i $! T(&(.
3. A,!,($# Fi#:
P!# !!&ii $! ((……..2.6? A#&i4 …………………...0.7
C#/!i$# $! <-!$($………6.0
M#$-'# $! i!%(…………….2.80
?. A,!,($# -!#:
T(("# >i# #i(' ……1 12K
P!# ! (&/($#………..1600 ,. 3
P!# !!&ii $! ((………2.68
A#&i4……………………..0.5 C#/!i$# $! <-!$($………..2.0
. D787r*0ac0 :7 "a r7==870ca 9r,*7:, C##&i!$# -! '( !i/!&i( ! !i4 $! $i!"# !!&ii&($( ! $! 210 ,. & 2 -! '( $!i(&i4 !/$( $! '( (";( /-&/#( ! $! 20 ,. & 2 ('i&($# (( !'
&'&-'# $! '( !i/!&i( #!$i# !' &i/!i# $!' &4$i,# 318)89 $!' ACI !/($# ( '( !&-(&i#! B6.1 B6.2. & & 1.3? B6.1. & & 2.33 ) 35 B6.2. R!!'(%($# ('#!: H& 210 1.3? > 20
237 ,.&2
H& 210 2.33 > 20 35 222 ,&2 D! '# ('#! ! !'!&&i#( !' (#: H& 237 , &2
. S7"7cc0 :7" 8a*a+, *-*, 0,*0a" :7" agr7ga:, D! (&-!$# ( '( !!&ii&(&i#! $! #( ( '( ,(-'#!/;( $!' (,!,($# ,-!#
'!
!#$! - /(("# >i# #i(' $! 1 12K.
5. S7"7cc0 :7" a=708a*708, D! (&-!$# ( '( !!&ii&(&i#! '( $i&i#! $! '#&(&i4 !-i!! -! '( !%&'( /!,( -( i/!&i( '/i&( ( '( -! !#$! - (!/(i!/# $! 3 ( ? K.
. ,"<*70 <08ar, :7 ag
i# #i(' $! 1 12K ! $! 181 L/3.
$. C,0870:, :7 ar7 D!$! -! '( !/-&/-( ( ! (&i($( # ( ( !/( !>-!/( ( $i&i#! $! i/!!i# !!# # ! i$!( !&!(i# i#( (i! ( '( !%&'( $! '( /('( 10.2. ! $!/!i( -! !' /!i$# $! (i! (/(($# (( - (,!,($# ,-!# $! /(("# >i# #i(' $! 1 12K ! $! 1.0.
3. R7"ac0 ag
N# !!/$#! ! !/! &(# #'!( $! i/!!i# i $! (/(-! # -'(/# #/# /i# $! (&&i#! -! -$i!( $("( (' &!/# ! !'!&&i#( '( !'(&i4 (,-()&!!/# @i&(!/! # !i/!&i(. E/($# ( '( /('( 11.2. (( -( !i/!&i( #!$i# !#$i!/! ( 237 , & 2 E - &!/# i (i! i#($# ! !&-!/( -( !'(&i4 (,-()&!!/# # !i/!&i( $! 0.6?. R!'(&i4 (,-()&!!/# 0.6?
4. Fac8,r c7*708, E' (&/# &!!/# ! $!/!i( $ii$i!$# !' #'-! -i/(i# $! (,-( !/! '( !'(&i4 (,-()&!!/#:
F(&/# &!!/# 181 0.6? 283 , 3 6.7 #'( 3
16. C,0870:, :7 agr7ga:, gr<7=, P(( $!/!i( !' /!i$# $! (,!,($# ,-!# !'!($# !' M/#$# $!' C#i/ 211 $!' ACI ! $!! !/( ( '( /('( 13.2. - 4$-'# $! i!%( $! 2.80 - /(("# >i# #i(' $!' (,!,($# ,-!# $! 1 12K !/$#! - ('# $! 0.72 !/# &@i $! (,!,($# ,-!# ! (&/($# # -i$($ $! #'-! $!' &!/#.
P!# $!' (,!,($# ,-!# 0.72 > 1600 1152 ,3.
11. C-"c<", :7 @,"H*707= a!=,"<8,= C##&i$# '# !# $!' &!!/# (,-( (,!,($# ,-!# (; # !' #'-! $! (i! ! #&!$! ( &('&-'( '( -( $! '# #'@!! (#'-/# $! !/# i ,!$i!/!: V#'-! (#'-/# $!:
C!!/#…………….2833.15 > 1000 0.90 3
A,-(…………………1811 > 1000
Ai!…………………. 1.0…………..
A,!,($# ,-!#…….11522.68 > 1000 0.?303
0.181 3 0.010 3
S-( $! #'@!! #&i$#………
0.7113
12. C,0870:, :7 agr7ga:, B0, E' #'-! (#'-/# $! (,!,($# i# ! i,-(' ( '( $i!!&i( !/! '( -i$($ '( -( $! '# #'@!! (#'-/# #&i$#. E' !# $!' (,!,($# i# ! i,-(' ( - #'-! (#'-/# -'/i'i&($# # - !# 4'i$#.
V#'-! (#'-/#
$! (,!,($# i#…………….. 1 0.711 0 0.289 3
P!# $!' (,!,($#
Fi# !…… 0.289 > 2.6? > 1000 763 , 3
1. a",r7= :7 :=7+, L( &(/i$($! $! (/!i('! ( ! !'!($( # ('#! $! $i!"# !:
C!!/#…………………..283 , 3
A,-( $! $i!"#……………181 L/3
A,!,($# i# !……….. 763 ,3
A,!,($# ,-!# !……..1152 ,3
1. C,rr7cc0 9,r <*7:a: :7" agr7ga:, L( ##&i#! $! '# (/!i('! -! i/!,( '( -i$($ &@i&( $! &!/# $!! ! !,i$( ! -&i4 $! '( $i&i#! $! '( <-!$($ $! '# (,!,($# i# ,-!# ( i $! #/!! '# ('#! ( ! -/i'i%($# ! #(. P!# <@!$# $!':
A,!,($# i#…………….763 > 1.060 809 ,3
A,!,($# ,-!#…………. 1152 > 1.020 1175 ,3
A /i-(&i4 $!/!i(# '( <-!$($ -!i&i(' $!' (,!,($#:
A,!,($# i#……………. 6.0 0.7 5.3
A,!,($# ,-!#…………. 2.0 0.5 1.5
Y '# (#/! $! '# (,!,($# !: A#/! $! <-!$($ $!':
A,!,($# i#……………. 763 > B 0.053 ?0 '/ 3
A,!,($# ,-!#…………. 1152 > B0.015 17 '/3
A#/! $! <-!$($ $!
L# (,!,($#……………………………… 57 '/3
A,-( !!&/i( 181 57 12? '/3
Y '# !# $! '# (/!i('! ( !,i$# # <-!$($ $!' (,!,($# ( ! !'!($# ! '( !%&'( $! -!( !:
C!!/#……………………283 ,3
A,-( !!&/i(…………….... 12? '/3
A,!,($# i# <@!$#......... 809 ,3
A,!,($# ,-!# <@!$#…. 1175 ,3
15. Pr,9,rc0 70 97=, L( ##&i4 ! !# $! '# (/!i('! i !,i ( !,i$( # <-!$($ $!' (,!,($# !: 283 763 1152 ; ; 283 283 283
283 809 1175 ; ; 283 283 283
=
1 : 2.7 : 4 / 27
'/( B! !# !
=
1 : 2.85 : 4.15 / 18.5
'/(
R!'(&i4 (,-()&!!/# $! $i!"# 181283 0.6?
R!'(&i4 (,-()&!!/# !!&/i( 12?283 0.??
1. P7=,= 9,r 8a0:a :7 <0 =ac, P(( #&! '( &(/i$($ $! (/!i('! -! ! !&!i/( ! -( /($( $! - ( ! !&!(i# -'/i'i&( '( ##&i4 ! !# ( !,i$( # <-!$($ $!' (,!,($# # !' $! - ( $! &!!/#:
C!!/#………………………….. 1 > ?2.5 ?2.5 , (
A,-( !!&/i(……………………..
18.5 '/ (
A,!,($# i# <@!$#……… 2.85 > ?2.5 121 , (
A,!,($# ,-!# <@!$#…… ?.15 > ?2.5 176.? ,(.