PRÁCTICA DE LABORATORIO DE SUELOS No. 3 PRÁCTICA DE LABORATORIO DE SUELOS No. 3
LÍMITES DE ATTERBERG LÍMITES DE ATTERBERG
MAYRA NATALIA OVIEDO VARGAS MAYRA NATALIA OVIEDO VARGAS
ID. 394938 ID. 394938
UNIVERSIDAD COOPERATIVA DE COLOMBIA UNIVERSIDAD COOPERATIVA DE COLOMBIA
FACULTAD DE INGENIERÍA FACULTAD DE INGENIERÍA INGENIERÍA CIVIL INGENIERÍA CIVIL V SEMESTRE V SEMESTRE NEIVA NEIVA 201 201
PRÁCTICA DE LABORATORIO DE SUELOS No. 3 PRÁCTICA DE LABORATORIO DE SUELOS No. 3
LÍMITES DE ATTERBERG LÍMITES DE ATTERBERG
MAYRA NATALIA OVIEDO VARGAS MAYRA NATALIA OVIEDO VARGAS
ID. 394938 ID. 394938
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AVIER CONDE CONDE GUTIRRGUTIRREE E!
E! +, +, ,&(/!,)#,,&(/!,)#, MECÁNICA
MECÁNICA DE DE SUELOSSUELOS
UNIVERSIDAD COOPERATIVA DE COLOMBIA UNIVERSIDAD COOPERATIVA DE COLOMBIA
FACULTAD DE INGENIERÍA FACULTAD DE INGENIERÍA INGENIERÍA CIVIL INGENIERÍA CIVIL V SEMESTRE V SEMESTRE NEIVA NEIVA 201 201 TABLA DE CONTENIDO TABLA DE CONTENIDO
LÍMITES DE ATTERBERG LÍMITES DE ATTERBERG
MAYRA NATALIA OVIEDO VARGAS MAYRA NATALIA OVIEDO VARGAS
ID. 394938 ID. 394938
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AVIER CONDE CONDE GUTIRRGUTIRREE E!
E! +, +, ,&(/!,)#,,&(/!,)#, MECÁNICA
MECÁNICA DE DE SUELOSSUELOS
UNIVERSIDAD COOPERATIVA DE COLOMBIA UNIVERSIDAD COOPERATIVA DE COLOMBIA
FACULTAD DE INGENIERÍA FACULTAD DE INGENIERÍA INGENIERÍA CIVIL INGENIERÍA CIVIL V SEMESTRE V SEMESTRE NEIVA NEIVA 201 201 TABLA DE CONTENIDO TABLA DE CONTENIDO
PAGINA PAGINA IINNTTRROODDUUCCCCIIÓÓNN 44 11.. OOBBJJEETTIIVVOOSS 55 22.. AALLCCAANNCCEE 66 33.. MMEETTOODDOOLLOOGGÍÍAA 77 44.. TTRRAABBAAJJOOS S REREAALLIIZZAADDOOSS 99 55.. RREESSUULLTTAADDOOSS 2200 66.. CCOONNCCLLUUSSIIOONNEESS 2211 B
BIIBBLLIIOOGGRRAAIIAA 2222
INTRODUCCI5N INTRODUCCI5N
!"#" $%& '()*('*#%& +','$*& *& -/ '-%#"(* *&'"# $"& #%'*"*& &'+"& / *$ +%-%#"-'*(% * -"&"& * &*$%& * &*#( &%-*'"& " ,"#'%& '%& * *#"&8 %# *&* -%',% *& '-%#"(* '*(''+"# $"& #%'*"*& *$ &*$%.
L%& L-'*& * C%(&'&*(+'" % L-'*& * A*#*#) &%( *(&"/%& * &* #*"$'"( *( *$ $"%#"%#'% -*'"(* #%+*'-'*(%& *&"##%$$"%& %# *$ +'*('+% &*+% A$*# M"#' A*#*#)8 $%& +"$*& *#-'*( **#-'("# $" +%(&'&*(+'" *
#*&*("( $%& &*$%& '(%& *( (+':( *$ +%(*('% * ;-*".
E( *&* '(%#-* &* *<$'+"# / "("$'"# $" #+'+" #*"$'"" *$ 25 * *#*#% *$ #*&*(* "=% *( *$ L"%#"%#'% * S*$%& '+"% *( $"& '(&"$"+'%(*& * $" U(',*#&'" C%%*#"'," * C%$%-'" &** N*',"8 %(* &* #*"$': $%& &')'*(*& *(&"/%& " $" -*&#" &-'('&#"" %# *$ I()*('*#% C','$ J",'*# C%(*>
? L-'* L'% ? L-'* !$&'+%
? Í('+* * !$"&'+'" ? L-'* * C%(#"++':(
!"#" *$ *&"##%$$% * $" #*&*(" #+'+" &* *&': #*,'"-*(* $"& &')'*(*& (%#-"& INVIAS>
I.N.V.E – 125 DETERMINACIÓN DEL LÍMITE LÍQUIDO DE LOS
SUELOS.
I.N.V.E – 126 LÍMITE PLÁSTICO E ÍNDICE DE PLASTICIDAD DE
LOS SUELOS.
I.N.V.E – 127 DETERMINACIÓN DE LOS FACTORES DE
CONTRACCIÓN DE LOS SUELOS.
1. OBETIVOS 1.1. OBETIVO GENERAL
M*'"(* $%& *(&"/%& * L-'*& * C%(&'&*(+'" **#-'("# $%& +%(*('%& * ")" * ( &*$% +%@*&',% * "$ &%-**#&* " ( &*+"% $*(%8 &* "&"# * ( E&"% L'% " E&"% !$&'+%8 $*)% " ( E&"% S*-'&:$'% / '("$-*(* E&"% S:$'% *$ &*$% *&"$*+'*(% +%##*$"+'%(*& &%#* & +%-%#"-'*(% '()*('*#'$8 "$*& +%-% $" +%-#*&''$'"8 $" *#-*"'$'" / $" +%-"+''$'" * ( &*$% '(%8 "#" &*# +$"&''+"% -*'"(* *$ S'&*-" U(''+"% * C$"&''+"+':( * S*$%& S.U.C.S. / "& *&"$*+*# &' *$ -"*#'"$ +-$* +%( $"& *&*+''+"+'%(*& +('+"& "#" *$ +"$ &*# '$'"%.
1.2. OBETIVOS ESPECÍFICOS
1.2.1. D**#-'("# *$ L-'* L'% * ( &*$% '(%8 *&"$*+'*(% *$ +%(*('% * ")" "#" #*& -*&#"& *( * &* @"/" **+"% (" #"(#" * '-*(&'%(*& (%#-"$'""& &* +'*##* " $% $"#)% * (" '&"(+'" * +*#+" * 13 -- "$ &%-**#$"& " * 10 " 15 )%$*&8 * 15 " 25 )%$*& / * 25 " 35 )%$*& #*&*+',"-*(* +%( $" +"*$" C"&")#"(*.
1.2.2. ;"$$"# *$ L-'* !$&'+% * ( &*$% '(% "#" $*)% +$"&''+"#$% -*'"(* *$ S'&*-" U(''+"% * C$"&''+"+':( * S*$%& S.U.C.S.8 '$'"(% $%& #*&$"%& %*('%& *( $%& *(&"/%&. 1.2.3. D**#-'("# *$ L-'* * C%(#"++':( * ( &*$%8 * *&
+%(*('% * @-*" %# *"% *$ +"$ (% &* #*&*(" +"-'%& * ,%$-*( * (" -"&" * &*$%.
E&%& *(&"/%& *#-''#( )*(*#"# (" #*$"+':( *(#* *$ +"-'% *$ ,%$-*( / *$ +%(*('% * ")" * &*$%& #*-%$*"%& / *$ &')(''+"% * && *&"%& * +%(&'&*(+'" / && $-'*& * &%-**# (" -*&#" * ( *&"% L'% " ( *&"% !$&'+%8 * ( *&"% !$&'+% " ( *&"% S*-'?&:$'% / * ( E&"% S*-'?&:$'% " ( E&"% S:$'% **#-'("(% *$ +%(*('% * ")" *$ &*$% / *&+#''*(% *$ #%+*'-'*(% "#" **#-'("# +"('"',"-*(* $" @-*" *$ &*$% '(%.
L%& #*&$"%& * *&* *(&"/% &* *-$*"#( "#" **#-'("# *$ +-$'-'*(% * $"& *&*+''+"+'%(*& *( #*$"+':( +%( $" '&#'+':( * "#+$"& / "#" &-'('&#"# "%& (*+*&"#'%& "#" *$ +%(#%$ * +"$'" * %#"8 $%& "%& "-'( **( &*#,'# "#" $%& *&'%& * *#-*"'$'" / +%-"+"'$'" *(#* "#+$"&.
3. METODOLOGÍA 3.1. LÍMITE LÍ6UIDO
S* %-: -"*#'"$ &*+% "$ "'#*8 "-'"-%& *$ -"*#'"$ *( *$ T"-' N%. 40 / &* %-: 120 )#"-%& *$ -"*#'"$ "&"(* * '+@% "-'.
S* +%$%+: *$ -"*#'"$ &%#* ( ,'#'%8 &* $* ")#*): ")" / +%( $" "/" * $"& *&$"& &* "-"&: $" -*&#" "#" (''+"# $" @-*" $%)#"(% *(*# (" "&" +#*-%&" / * @-*" ('%#-*.
S* ,*#''+: $" +"$'#"+':( * $" +"*$" * C"&")#"(* $" +"$ +%(&'&* *( ,*#''+"# $" "$#" * +"" * $" +"*$" &*" * 1 +- /" +"$'#"" $" +"*$" * C"&")#"(* &* ,*#': "#%<'-""-*(* 50 )#"-%& * $" "&" +#*-%&"8 &* "$'&: $" &*#'+'* * $" -*&#" / &* #*"$': $" #"(#" *( $" "#* +*(#"$ +%( *$ #"(#"%# *( %#-" *#*('+$"# " $" -*&#" / &* $* &-'('&#: $%& &')'*(*& )%$*& %# -*&#">
10 " 15 )%$*& %# #*& ,*+*& 15 " 25 )%$*& %# #*& ,*+*& 25 " 35 )%$*& %# #*& ,*+*&
E$ (F-*#% * )%$*& &* *'(': @"&" * &* +'*##* $" #"(#" *( & "#* '(*#'%# 13 -- "#%<'-""-*(*.
S* %-: (" -*&#" +*#+"(" " $" "#* * $" #"(#" * &* +*##: / &* **#-'(: $" @-*" +%$%+"(% $"& -*&#"& *( $" *&" *$+#'+".
C%( $%& "%& %*('%& * @-*" / (F-*#% * )%$*& &* #*"$': (" )#'+" / %# +%##*$"+':( &* **#-'(: $" @-*" * $" -*&#" " +"" (F-*#% * )%$*& *'('"& "(*#'%#-*(*.
S* **#-'("#%( $-'*& $'%& * **( *(#"# *(#* 10 " 35 )%$*&8 +%( *&%& ,"$%#*& &* +%(&#/: $" )#'+" *( %(* $"& "&+'&"& N%. * )%$*& *& (" *&+"$" $%)"#-'+" / $"& %#*(""& ;-*" *& (" *&+"$" "#'-'+".
C%( *&" )#'+" &* *'(': &' $" -*&#" *#" L'-% % A#+'$$" / & )#"% * $"&'+'".
3.2. LÍMITE PLÁSTICO
D* $"& -*&#"& #*"$'""& +%( *$ L-'* L'%8 &* %-: "#%<'-""-*(* 20 )#"-%& * $" +"*$"8 &* *-*: " "-"&"# $" -*&#" +%( $" "$-" * $" -"(% &%#* ( ,'#'% @"&" %*(*# +'$'(#%& * 3 -- * '-*#% "#%<'-""-*(*8 &*
*&"#%( / $*)% &* &%-*'*#%( " +"$%# *( $" *&" *$+#'+" / (*,"-*(* &* *&: "#" **#-'("# $" @-*".
3.3. LÍMITE DE CONTRACCI5N
S* %-: -*&#" *$ -"*#'"$ * &* '$': "#" $%& L-'*& L'%&8 $" +"$ &* -*+$: +%( ")" *&'$"" "#" %*(*# (" +%(&'&*(+'" $')*#"-*(* &*#'%# " $" *$ L-'* L'%.
L%& #*+''*(*& "#" +%(#"++':( * -*"$ &* #*,'&'*#%( +%( (" +"" *$)"" * ,"&*$'(" "#" *,'"# * $" -*&#" &* "@'*#" "$ #*+''*(* +"(% &*" &%-*'" "$ +"$%# *( *$ @%#(%.
S* $$*("#%( $%& #*+''*(*& * +%(#"++':( +%( *$ &*$% * "$ %#-" * (% *"#"( #"& * "'#* "#"""&8 %&*#'%#-*(* &* *(#"&"#%( +%( $" #*)$" -*$'+" / &* *&"#%(8 *&* ,"$%# *& *$ *&% *$ #*+''*(* +%( &*$% @F-*%.
L"& +&$"& +%( *$ -"*#'"$ &* &*+"#%( *( *$ @%#(% " (" *-*#"#" " 110 C8 @"&" *&% +%(&"(*8 &* *&"#%(8 "(%(%&* +%-% *&% *$ #*+''*(* -& &*$% &*+%.
S* **#-'(: *$ *&% * $" +"&$" *( )#"-%&8 $$*((%$% +%( -*#+#'% @"&" ( (',*$ -<'-% / *$'-'("(% *$ *<+*&%8 @"+'*(% #*&':( +%( $" $"+" * ,'#'% &%#* $" "#* &*#'%# *$ #*+''*(* / &* *&:8 *&* ,"$%# &* #*)'&#: +%-% *&% '('+'"$ * $" -"&" *$ &*$%.
S* **#-'(: *$ *&% * $" -"&" * &*$% &*+" % )"$$*"8 &* $$*(: *$ #*+''*(* * ,'#'% +%( -*#+#'% @"&" & (',*$ &*#'%# / &* *(#"&: #*&'%("(% *$ *<+*&% * -*#+#'% +%( $" $"+" * ,'#'%. !%&*#'%#-*(* &* @(': $" -*&#" * &*$% &*+% "-'( #*&'%((%$" *(#% *$ -*#+#'% +%( $"& #*& &"$'*(*& * $" $"+" * ,'#'% / &* #*+%)* *$ ,%$-*( *&"$%"% %# *&"8 $" +"$ &* *&" $% * +%##*&%(* "$ *&% * $" )"$$*" &*+" % *&% '("$ * $" -*&#".
S* $'-': $" )"$$*" % -*&#" &*+" / &* **#-'(: *$ *&% &*+%.
L*)% &* **#-'(: *$ L-'* * C%(#"++':( *$ &*$%8 * *& $" #*$"+':( *(#* ( +"-'% * ,%$-*( "%8 *<#*&"% +%-% %#+*("* *$ ,%$-*( &*+% / *$ +"-'% +%##*&%('*(* *( & +%(*('% * ")"8 %# *(+'-" *$ $-'* * +%(#"++':(.
4. TRABAOS REALIADOS 4.1. LÍMITE LÍ6UIDO
S* "-': *$ -"*#'"$ *( *$ T"-' N%. 408 &* %-: 120 )#"-%& *$ -"*#'"$ "&"(*.
S* +%$%+: *$ -"*#'"$ &%#* ( ,'#'%8 &* $* ")#*): ")" / +%( $" "/" * $"& *&$"& &* "-"&: $" -*&#" "#" (''+"# $" @-*" $%)#"(% *(*# (" "&" +#*-%&" / * @-*" ('%#-*.
S* ,*#''+: $" +"$'#"+':( * $" +"*$" * C"&")#"(* $" +"$ +%(&'&* *( ,*#''+"# $" "$#" * +"" * $" +"*$" &*" * 1 +-.
H" +"$'#"" $" +"*$" * C"&")#"(* &* ,*#': "#%<'-""-*(* 50 )#"-%& * $" "&" +#*-%&"8 &* "$'&: $" &*#'+'* * $" -*&#" / &* #*"$': $" #"(#" *( $" "#* +*(#"$ +%( *$ #"(#"%# *( %#-" *#*('+$"# " $" -*&#".
S* $*,"(: / )%$*% $" +"*$" )'#"(% $" -"('" @"&" * $"& %& -'"*& * $" "&" * &*$% &* &'*#%( *( +%("+% *( *$ %(% * $" #"(#". S* #*)'&#: *$ (F-*#% * )%$*& #**#'%& "#" +*##"# $" #"(#" *( & "#* '(*#'%# 13 --"#%<'-""-*(*. S* @'% *$ #%+*'-'*(% #*& ,*+*& / &* #*)'&#: "#" *$ #'-*#% 10 )%$*&8 "#" *$ &*)(% 20 )%$*& / *$ *#+*#% 34 )%$*&. E&%& "%& &* #*)'&#"#%( *( $" T"$" N%.1 T"$" *$ L-'* L'%.
S* &"+: (" """ * &*$%8 "#%<'-""-*(* *$ "(+@% * $" *&$" &* %-: * (% / %#% $"% / *( ()$% #*+% +%( $" #"(#" '(+$/*(% $" %#+':( * &" *( $" +"$ &* @'% +%("+% / &* +%$%+" *( ( #*+''*(* "*+"%. S* *&: / &* #*)'&#: *&%& ,"$%#*& *( $" T"$" N%.1 T"$" *$ L-'* L'%.
S* +%$%+: *$ &*$% +%( *$ #*+''*(* / &* $$*,: " $" *&" "#" &*+"#&* @"&" * &* %,% (" -"&" +%(&"(* / &* *&: "( #%(% +%-% &* *(#':. S* #*)'&#: *( $" T"$" N%.1 T"$" *$ L-'* L'% *&" -"&"8 "& +%-% $" #'" * -"&" *'" "$ &*+"-'*(% / $" -"&" *$ ")".
L*)% &* **#-'(: *$ +%(*('% * ;-*" * +"" (% * $%& #*& -"*#'"$*&8 *$ +"$ &* #*)'&#: *( $" T"$" N%.1 T"$" *$ L-'* L'% +%( *&%& "%& &* #*"$': $" G#'+" N%. 1. G#'+" *$ L-'* L'%.
4.2. LÍMITE PLÁSTICO
D* $"& -*&#"& #*"$'""& +%( *$ L-'* L'%8 &* %-: "#%<'-""-*(* 20 )#"-%& * $" +"*$"8 &* *-*: " "-"&"# $" -*&#" +%( $" "$-" * $" -"(% &%#* ( ,'#'% @"&" %*(*# ( +'$'(#% * 3 -- * '-*#% "#%<'-""-*(*.
L*)% &* &%-*'*#%( " +"$%# *( $" *&" *$+#'+" / (*,"-*(* &* *&: "#" **#-'("# $" #'" * @-*".
4.3. LÍMITE DE CONTRACCI5N
S* #%+*': " @-**+*#$" +%( ")" *&'$"" * -"(*#" * ,'*#" (" +%(&'&*(+'" $')*#"-*(* &*#'%# " $" *$ L-'* L'%.
S* #%+*': " *&"#$"&8 "##%"(% ( *&% * 21 )#"-%&8 20.9 )#"-%& / 21.1 )#"-%& #*&*+',"-*(* / &* #*)'&#: *( $" T"$" N%.3. T"$" *$ L-'* * C%(#"++':(.
S* $$*(: $"& +&$"& % #*+''*(*& * +%(#"++':( +%( *$ -"*#'"$ @-**+'%8 &* $* #%'("#%( )%$*& &",*& &%#* (" "&* *#*8 "#" "& *<#"*# $"& #"& * &* *'*#"( *(+%(#"# "#"""& *( $" -*&#".
S* *(#": +'"%&"-*(* $"& +&$"& +%( $" *&$"8 *,'"(% * $"& &*#'+'*& * $"& -*&#"& +%(*('"& *( $"& +"&$"& **( +%( #%*#"(+'"& % ")#'*"-'*(%& / &* $'-': *<*#'%#-*(* $" +&$".
S* **#-'(: *$ *&% * $" +&$" -& $"& -*&#"& @F-*"& "##%"(% $%& &')'*(*& ,"$%#*& 52.1 )#"-%8 4.9 )#"-%& / 50.7 )#"-%& #*&*+',"-*(* *&%& "%& &* #*)'&#"#%( *( $" T"$" N%.3. T"$" *$ L-'* * C%(#"++':(.
L*)% $"& +&$"& -& $"& -*&#"& @F-*"& &* &%-*'*#%( " &*+"% *( *$ @%#(% " 110C @"&" +%(&*)'# ( *&% +%(&"(* / &* *&"#%( $"& )"$$*"& "##%"(% $%& &')'*(*& "%& +"" ("> 44 )#"-%&8 41 )#"-%& / 42.7 )#"-%&. E&%& "%& &* #*)'&#"#%( *( $" T"$" N%.3. T"$" *$ L-'* * C%(#"++':(
S* **#-'(: *$ *&% *$ -*#+#'%>
S* $$*(: +%( -*#+#'% *$ #*+''*(* @"&" * &* *##"-"#"8 $*)% &* *(#"&: @"+'*(% #*&':( +%( $" $"+" * ,'#'% +%( #*& "%/%&.
L*)% &* *&: "##%"(% $%& &')'*(*& "%&> 234.5 )#"-%&8 231.2 )#"-%& / 235.5 )#"-%& %# *(&"/% * +"" -*&#". E&%& "%& &* #*)'&#"#%( *( $" T"$" N%.3. T"$" *$ L-'* * C%(#"++':(.
S* +%$%+: &%#* $" &*#'+'* * -*#+#'% $" )"$$*" * &*$% &*+% / +%( $" $"+" * ,'#'% +%( #*& "%/%& &* &-*#)':8 &* *(#": +%( $" $"+" * ,'#'%.
S* #*+%)': *$ -*#+#'% *&$""% %# $" )"$$*" * $" -*&#" &*+" *$ +"$ &* *&: "##%"(% $%& &')'*(*& "%&> 17 )#"-%&8 162.3 )#"-%& / 175. )#"-%& #*&*+',"-*(*. E&%& "%& &* #*)'&#"#%( *( $" T"$" N%.3. T"$" *$ L-'* * C%(#"++':(.
S* **#-'(: *$ *&% *$ -*#+#'% *&$""% %# $" )"$$*" * &*$% &*+% -*'"(* $" '*#*(+'" *(#* *$ *&% *$ #*+''*(* -& -*#+#'% / *$ *&% * $" #%*" ,"+".
7. TABLAS Y GRÁFICAS 7.1. TABLA DEL LÍMITE LÍ6UIDO
TABLA No.1. TABLA LÍMITE LÍ6UIDO 7.2. GRÁFICA DEL LÍMITE LÍ6UIDO
GRÁFICA No.1. GRÁFICA DEL LÍMITE LÍ6UIDO
TABLA No.2. TABLA DEL LÍMITE PLÁSTICO ÍNDICE DE PLASTICIDAD : ; 14<8
7.4. GRÁFICA CARTA DE PLASTICIDAD
GRÁFICA No.2. GRÁFICA DE CARTA DE PLASTICIDAD
TABLA No.3. TABLA DEL LÍMITE DE CONTRACCI5N
.1. CÁLCULO CONTENIDO DE =UMEDAD
.1.1. CÁLCULO CONTENIDO DE =UMEDAD 27 > 37 GOLPES:
.1.2. CÁLCULO CONTENIDO DE =UMEDAD 17 > 27 GOLPES:
.1.3. CÁLCULO CONTENIDO DE =UMEDAD 10 > 17 GOLPES:
.2. CÁLCULO DEL LÍMITE LÍ6UIDO
W (%) = 37,74 %
W (%) = 36,70 %
N K (F-*#% * )%$*& "#" * &* +'*##* $" #"(#"
N K +%(*('% * ")" "#" *$ (% #*"$'"% * #*'#': N )%$*& "#" +*##"# $" #"(#".
6.2.1. CÁLCULO DEL LÍMITE LÍ6UIDO 27 > 37 GOLPES:
6.2.2. CÁLCULO DEL LÍMITE LÍ6UIDO 17 > 27 GOLPES: WN = 32,30 – 28,30 = 4,00
6.2.3. CÁLCULO DEL LÍMITE LÍ6UIDO 10 > 17 GOLPES: WN = 29,70 – 25,80 = 3,90
.4. CÁLCULO DEL ÍNDICE DE PLASTICIDAD IP = LL – LP
IP = 38,30 – 23,53 = 14,8
.4.1. CÁLCULO DEL VOLUMEN DE LA CÁPSULA
.4.1.1. CÁLCULO DEL VOLUMEN DE LA CÁPSULA MUESTRA 1
.4.1.2. CÁLCULO DEL VOLUMEN DE LA CÁPSULA MUESTRA 2
.4.1.3. CÁLCULO DEL VOLUMEN DE LA CÁPSULA MUESTRA 3
?. CONCLUSIONES
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MECNICA DE SUELOS. TOMO 1 UNDAMENTOS DE LA MECNICA