GRANULOMETRÍA Y MÓDULO DE FINURA
SAMIR HADDAD LARIOS 170752 NATAL NATALY Y GALLARDO SANDOVAL 171228 1712 28 SERGIO ANDRES BARBOSA 170391 DIOMAR ALEJANDRO ORTIZ 170529 ANDERSON D OHOA ORONEL 171233
ING! JONATHAN JONATHAN NOEL TELLEZ MENESES
UNIVESIDAD FRANIO DE "AULA SANTANDER OA#A
FAULTAD DE INGENIERIA IVIL
DISE#O DE MEZLAS
1
GRANULOMETRÍA Y MÓDULO DE FINURA
GRU"O A
SAMIR HADDAD LARIOS 170752 NATALY GALLARDO SANDOVAL 171228 SERGIO ANDRES BARBOSA 170391 DIOMAR ALEJANDRO ORTIZ 170529 ANDERSON D OHOA ORONEL 171233
ING! JONATHAN NOEL TELLEZ MENESES
UNIVESIDAD FRANIO DE "AULA SANTANDER OA#A
FAULTAD DE INGENIERIA IVIL
2
TABLA DE ONTENIDO
1 INTRODUCCION 2 OBJETIVOS 2.1 OBJETIVO GENERAL 2.2 OBJETIVO ESPECIFICO 3 MARCO TEORICO 3.1 GRANULOMETRIA 3.2 CONTENIDO DE HUMEDAD 3.3 MODULO DE FINURA 4 MARCO TEORICO 4.1 BALANZA 4.2 TAMICES 4.3 HORNO 4.4 TAMIZADORA MECANICA 4.5 TARA 4.6 JUEGO DE TAMICES 5 PROCEDIMIENTO 6 CALCULOS 7 RECOMENDACIONES 8 CONCLUSIONES
3
1! INTRODUIÓN
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
2! OBJETIVOS
2!1 OBJETIVO GENERAL
•
C'!-,-),$ *"! %,#%'(,"! &% #$"&"(,' : ("*,&"& "$" *! "#$%#"&! ,'! : #$)%!! " !) ;%> &%-%$,'"$ %* $(%'-"% &% )%&"& &% *! "#$%#"&! ,'! %&,"'-% !%("&.
2!2 OBJETIVOS ES"EÍFIOS
•
C'(%$ E* P$(%&,,%'- P"$" L" %!(#%'(," &%* A#$%#"& #$)%! : ,' %' %* &,!% &% M%>(*".
•
E!-% -& &% %'!": -,%'% $ %- &%-%$,'"$ ()"'-,-"-,;"%'-% *" &,!-$,)(,' &% *! -""! &% *"! "$-/()*"! &% "#$%#"&! #$)%!! : ,'! &% )' "-%$,"* $ %&, &% -",(%!
•
C"*()*"$ %* &)* &% ,')$" "$" "#$%#"&! ,'!.
•
C"*()*"$ -"" 9, : -"" 9, ','"* "$" "#$%#"&! #$)%!!.
3! MARO TEÓRIO
3!1G$%&'()*+,$-%
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
E' *! "#$%#"&! %,!-%' $! *! ()"*%! %'()%'-$"' %' *" ,'-%%$,% : )%&%' %!-"$ **%'! (' "#)" %!-! !%%' )' #$"& &% )%&"& %* ()"* %! &% #$"' ,$-"'(," :" +)% (' * &$/"! !"%$ !, '! "$-" "#)" " *" %>(*". L"! "$-/()*"! &% "#$%#"& )%&%' "!"$ $ ()"-$ %!-"&! *! ()"*%! !% &%!($,%' " ('-,')"(,' •
•
T-"*%'-% !%(. S% *#$" %&,"'-% )' !%("& "* $' " 11C "!-" +)% *! "#$%#"&! -%'#"' )' %! ('!-"'-%. 0#%'%$"*%'-% 24 $"!. P"$(,"*%'-% !%(. S% *#$" %&,"'-% %!,(,' "* ",$% *,$%.
•
•
S"-)$"& : S)%$,(,"*%'-% !%(. 0SSS. E' )' %!-"& */,-% %' %* +)% *! "#$%#"&! -,%'%' -&! !)! $! **%'! &% "#)" %$ !)%$,(,"*%'-% !% %'()%'-$"' !%(!. E!-% %!-"& !* !% *#$" %' %* *"$"-$,. T-"*%'-% H?%&. T&! *! "#$%#"&! %!-9' **%'! &% "#)" : "&%9! %,!-% "#)" *,$% !)%$,(,"*.
E* ('-%',& &% )%&"& %' *! "#$%#"&! !% )%&% ("*()*"$ %&,"'-% *" )-,*,>"(,' &% *" !,#),%'-% $)*" PK 0 D D Q 1 D'&% P %! %* ('-%',& &% )%&"& = %! *" "!" ,',(,"* &% *" )%!-$" # D %! *" "!" &% *" )%!-$" !%(" #
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
! INSTRUMENTOS
!1 BALANZA
C' !%'!,,*,&"& &% $ * %'! .1= &% *" "!" &% *" )%!-$" +)% ;" " !%$ %'!":"&" 4.2TAMICES S% &,!'&$9 &% *" !%$,% &% -",(%! &% %'!": "&%()"&" "$" -%'%$ *" ,'$"(,' &%!%"&" &% "()%$& (' *"! %!%(,,("(,'%! "$" %* "-%$,"* 4.3HORNO D% -"" "&%()"& (""> &% "'-%'%$ )'" -%%$"-)$" )',$% &% 11 5C 023 <F. 4.4TAMIZADORA MECNICA U'" -",>"&$" %(9',(" +)% ,"$-" )' ;,,%'- ;%$-,("* *"-%$"* : ;%$-,("* " *! -",(%! &% -"* $" +)% "* $&)(,$ $%-%! : #,$! %' *"! "$-/()*"! &%* "#$%#"& !-"! $%!%'-%' &,%$%'-%! $,%'-"(,'%! (' $%!%(- " *" !)%$,(,% &% *! -",(%!. L" "((,' -",>"&$" &%%$9 !%$ -"* +)% %* ($,-%$, "$" &"$ $ -%$,'"& %* -",>"& &%!($,- %' *" S%((,' 6.4 !% !"-,!"#" %' )' %$/& &% -,% $">'"*%. 4.5TARA R%(,,%'-% %-9*,( 4.6 J)%# &% -",(%!
"ROEDIMIENTO
E* $(%&,,%'- !% ,',(," (' )'" )%!-$" &% "#$%#"&! !%( &% "!" ('(,&" !% !%"$" " -$";! &% )'" !%$,% &% -",(%! &% "%$-)$"! $#$%!,;"! 9! %+)%"! (' %* ,' &% &%-%$,'"$ *" &,!-$,)(,' % *! -""! &% !)! "$-/()*"!
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
4.8S% !%*%((,'" )' #$) &% -",(%! &% -""! "&%()"&! "$" !),',!-$"$ *" ,'$"(,' $%+)%$,&" $ *"! %!%(,,("(,'%! &%* "-%$,"* +)% !% ;" " %'!":"$. E* )! &% -",(%! "&,(,'"*%! %!
"('!%"*% !, !% &%!%" -$ -, &% ,'$"(,' -"*" ( %* &)* &% ,')$" "$" $%#)*"$ *" ("'-,&"& &% "-%$,"* !$% )' &%-%$,'"& -",>. S% %'(""' *! -",(%! %' $&%' &%($%(,%'-% $ -"" &% "%$-)$" : !% (*(" *" )%!-$" 0 $(,' &% )%!-$" !, %* "-%$,"* !% ;" " -",>"$ $ $(,'%! !$% %* -",> !)%$,$. S% "#,-"' *! -",(%! "' $ %&, &% *" -",>"&$" %(9',( &)$"'-% )' %$/& "&%()"& !"-,!"(,%'& %* ($,-%$, %'(,'"& %' *" S%((,' 6.4.
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
5.6 P"$" "$-/()*"! ":$%! &% 75 03 %* -",>"& &%% $%"*,>"$!% " "' &%-%$,'"'& *" "%$-)$" &%* -",> 9! %+)% $ *" +)% "!" *" "$-/()*". E* %'!": !% (,%'>" (' %* -",> &% %'$ "%$-)$" &% *! +)% ;"' " !%$ )!"&!. R-%'!% *"! "$-/()*"! !, %! '%(%!"$, (' %* ,' &% &%-%$,'"$ !, %**"! "!"' ' " -$";! &% &,( -",>[ !,' %"$# ' !% &%%$9 $>"$ "$" *,#"$*"! " "!"$ $ *"! "%$-)$"!.
5.7S% &%-%$,'" *" "!" &% *" )%!-$" $%-%',&" %' ("&" -",> (' )'" "*"'>" +)% ()*" * %,#,& %' *" S%((,' 4.1 L" "!" --"* &%* "-%$,"* &%!)! &%* -",>"& &%% !%$ ): $," " *" "!" &% *" )%!-$" $,#,'"* (*("&" !$% *! -",(%!. S, *"! ("'-,&"&%! &,,%$%' %' 9! &% .3= &% *" "!" $,#,'"* &% *" )%!-$" !%(" *! $%!)*-"&! ' &$9' !%$ )-,*,>"&! "$" ,'%! &% "(%-"(,'.
5.8C)"'& !%" '%(%!"$, &%-%$,'"$ *" ("'-,&"& &% "-%$,"* +)% "!" %* -",> &% 75 0N.2 !% %'!":"$9 $,%$ *" )%!-$" &% "()%$& (' *" '$" INV E 214. S% ""&% %* $(%'-"% &% "-%$,"* 9! ,' +)% %* -",> &% 75 0N.2 &%-%$,'"& $ %* (,-"& -& "* $(%'-"% "!"'-% $ %!-% ,! -",> %&,"'-% -",>"& %' !%( &% *" ,!" )%!-$" %' %* $%!%'-% -& &% %'!":.
5! 4LULOS
!1 GRANULOMETRÍA
1. P$(%'-"% $%-%',& P"$" %* $(%'-"% &% "-%$,"* $%-%',& %&,"'-% *" $%*"(,' %'-$% %* %! $%-%',& %' ("&" -",> : %* %! --"* &% *" )%!-$" -%'%! S% - ( %%* %* %! $%-%',& %' %* -",> &% \ "$" %* "#$%#"& #$)%!.
retenido =
W ret ∗100 Ws
retenido =
85.4 1031.69
∗100
retenido =8.28
2. P$(%'-"% $%-%',& "())*"& S% - ( %%* %* %! $%-%',& %' %* -",> &% \ "$" %* "#$%#"& #$)%!.
ret acumulado =
∑ Ret
ret acumulado =¿
2.64=]55.<=]33.5=
ret acumulado =¿
<1.5<=
3. P$(%'-"% &% "-%$,"* +)% "!" %' ("&" -",>
PASA =100 −%ret Acumulado
S% - ( %%* %* %! $%-%',& %' %* -",> &% 1 &%* "#$%#"& #$)%!. PASA =100 −%Ret Acumulado PASA =100 −58.54
PASA = 41.46
S% - ( %%* %* %! $%-%',& %' %* -",> &% &%* "#$%#"& #$)%!. PASA =100 −%Ret Acumulado PASA =100 − 99.87
PASA = 0.13
4. T"*" (' &"-! -%',&! 0"#$%#"& #$)%!
=RETENID PESO TAMIZ =RETENI O TAMIZ RETENID EN DO ACUMULA O DO 1 12^^ 381 2727 264 264 1^^ 254 5766< 55< 5854 34^^ 1<5 34<3 335 <15< 12^^ 127 854 828 <<87 38^^ <52 5< 6 <<<3 4 476 8 236 FONDO 81 8 1 1316< 5. C)$;" #$"')*-$,(" &%* "#$%#"& #$)%!
= PASA <736 4146 841 13 7
6. T"*" (' &"-! -%',&! 0"#$%#"& ,'
TAMIZ 38^^ 4 8 16 3 5 1 2 FONDO
PESO TAMIZ EN RETENID O <52 476 386 236 4716 118 5367 123 638< 27 572< 14< 4257 74 2<81 2835 3536
=RETENID =RETENIDO O ACUMULADO
= PASA
873 1334 1518 187 162 124 843 82
1 <127 77<3 6275 4468 2848 1644 81
7. C)$;" #$"')*-$,(" &%* "#$%#"& ,'
873 227 3725 5532 7152 8356 <1<< 1
!2 ONTENIDO DE HUMEDAD
S% ("*()*" %* ('-%',& --"* &% "#)" %;"$"*% ( !,#)% w p=
W − D × 100 D
D'&% w p
H)%&"& %;"$"*% &% *" )%!-$" =[
W
M"!" $,#,'"* &% *" )%!-$" #[
D
M"!" &% *" )%!-$" !%("&" #[
L)%# w p=
w p
W − D × 100 D
!3 MÓDULO DE FINURA
S% ("*()*" %* &)* &% ,')$" &%* "#$%#"& ,' ( !,#)% MF =
Σ Retenido Acumulado ( 3 / 8 ' ' , N ° 4, N ° 8, N ° 16, N ° 30, N ° 50, N ° 100 ) 100
L)%#
MF =
MF =
8,73 + 22,07 + 37,25 + 55,32 + 71,52 + 83,56 100
278,45 100
MF =2,78
S% ('!,&%$" +)% %* &)* &% ,')$" &% )'" "$%'" "&%()"&" "$" $&)(,$ ('($%- &%% %!-"$ %'-$% 23 : 31 &'&% )' ;"*$ %'$ +)% 2 ,'&,(" )'" "$%'" ,'" 25 )'" "$%'" &% ,')$" %&," : 9! &% 3 )'" "$%'" #$)%!".
! REOMENDAIONES
•
•
•
•
U' $%;, "'9*,!,! %' *"! %!%(,,("(,'%! &% *" '$"! +)% !% $%-%'&%' )!"$ "$" *" $%"*,>"(,' &%* *"$"-$,
U'" )%'" $%;,!,' % ,&%'-,,("(,' &% *! "#$%#"&! " )!"$!% %' *" $9(-,(" "$" )' !-%$,$ -",>"&
E* -",>"& !% &%% $%"*,>"$ ($$%(-"%'-% %' ;,,%'-! (,$()*"$%! $,>'-"*%! : ;%$-,("*%! -%',%'& !,%$% )' %!%(,"* (),&"& "$" +)% ' !% ,%$&" %* "-%$,"*.
T%'%$ *"! %&,&"! $%;%'-,;"! "* "',)*"$ %*%%'-! %+),! '%(%!"$,! "$" %* *"$"-$, +)% )%&"' (")!"$ "*#?' -, &% $,%!# *%!,'
7! ONLUSIONES
D% "()%$& " *! $%!)*-"&! -%',&! !% )%&% ('(*),$ +)%
E* "-%$,"* ,' +)% "!" %* -",> 75 ) 0N 2 !% )%&% !%"$"$ &% *"! "$-/()*"! ":$%! %' $" )( "! %,(,%'-% : (*%-" %&,"'-% -",>"& $ ;/" ?%&" +)% " -$";! &%* -",>"& %' !%(.
E* "#)" '"-)$"* %! "&%()"&" "$" !%"$"$ %* "-%$,"* 9! ,' &%* #$)%! %' *" ":$/" &% *! "#$%#"&!. E' "*#)'! ("!! !,' %"$# %* "-%$,"* ,' %!-" "&%$,& " *"! "$-/()*"! "! #$)%!"!