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#ontenido
#ontenido
INTRODUCCION...4 INTRODUCCION...4 OBJETIVO
OBJETIVO GENERGENERAL...AL... 55 OBJETIVOS ESPECÍFICOS...
OBJETIVOS ESPECÍFICOS... 55 MAR
MARCO CO TEORICO...TEORICO... 55 Glosario...
Glosario... 55 Méo!os !"
Méo!os !" "#$ili%rio l&'i"..."#$ili%rio l&'i"... (( Méo!os
Méo!os ")a*os+....")a*os+... (( Méo!os ,o
Méo!os ,o ")a*os+...")a*os+... (( M-TODO DE LAS DOVELAS...
M-TODO DE LAS DOVELAS... SUPERFICIE DE DESLI/AM
SUPERFICIE DE DESLI/AMIENTO CIRCIENTO CIRCULARES METODO DE LAS DOVELAS..ULARES METODO DE LAS DOVELAS.... FFACTOR ACTOR DE DE SEGURIDASEGURIDAD...D... M-TODO
M-TODO DE DE SPENCER...SPENCER...0101 DEMOSTR
DEMOSTRACION DEL ACION DEL METODO DE METODO DE SPENCER...SPENCER...00...00 Bi%lio2ra3&a
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9El o%:"i;o <ri,*i<al !" $, "s$!io !" "sa%ili!a! !" al$!"s o 9El o%:"i;o <ri,*i<al !" $, "s$!io !" "sa%ili!a! !" al$!"s o la!"ras "s "l !"
la!"ras "s "l !" "sa%l"*"r '"!i!as !" <r";",*i=, > *o,rol <ara r"!$*ir"sa%l"*"r '"!i!as !" <r";",*i=, > *o,rol <ara r"!$*ir los ,i;"l"s !" a'",a?a > ri"s2o. La i,"sa%ili!a! !" $, al$!@ s" <$"!" los ,i;"l"s !" a'",a?a > ri"s2o. La i,"sa%ili!a! !" $, al$!@ s" <$"!" <ro!$*ir <or $, !"s,i;"l@ #$" i"," l$2ar <or !i;"rsas ra?o,"s+
<ro!$*ir <or $, !"s,i;"l@ #$" i"," l$2ar <or !i;"rsas ra?o,"s+ •
• Ra?Ra?o,"s o,"s 2"ol2"ol=2i*a=2i*as+ s+ la!"rala!"ras s <osi%l<osi%l"'","'"," " i,"si,"sa%l"a%l"s@ s@ oro2roro2ra3&aa3&a a*$sa!a@ "srai*a*i=,@ '""ori?a*i=,@ "*.
a*$sa!a@ "srai*a*i=,@ '""ori?a*i=,@ "*. •
• VVariaria*ia*i=, =, !"l!"l ,i;"l 3r"i*o,i;"l 3r"i*o+ si$a*io,"s "sa*io,al"s@ <r"si=, !"+ si$a*io,"s "sa*io,al"s@ <r"si=, !" <oros > o%ras r"ali?a!as <or
<oros > o%ras r"ali?a!as <or "l o'%r"."l o'%r". •
• O%ras !" i,2",i"r&a+ O%ras !" i,2",i"r&a+ r"ll",os o ")*a;a*io,"s. a,2"lo,"@ 101r"ll",os o ")*a;a*io,"s. a,2"lo,"@ 101
Los al$!"s a!"'s
Los al$!"s a!"'s s"r, "sa%l"s !"<",!i"s"r, "sa%l"s !"<",!i",!o ,!o !" !" la la r"sir"sis",*s",*iaia !"l 'a"rial !"l #$" "sé, *o'<$"sos@ los "'<$:"s a los #$" so, !"l 'a"rial !"l #$" "sé, *o'<$"sos@ los "'<$:"s a los #$" so, so'"i!os o las !is*o,i,$i!a!"s #$"
so'"i!os o las !is*o,i,$i!a!"s #$" <r"s",",. a,2"lo,"@ 101<r"s",",. a,2"lo,"@ 101
E, "l <r"s"," ra%a:o s" "s$!ia so%r" las 2ri"as !" ",si=, > las E, "l <r"s"," ra%a:o s" "s$!ia so%r" las 2ri"as !" ",si=, > las *o
*o,s,s"*"*$"$",*,*iaias s #$#$" " s" s" <$<$"!"!", ", *r*r"a"ar r ", ", "l "l 'o'o'"'",,o o !" !" r"r"alali?i?ar ar $,$, "s$!io 2"ol=2i*o >a #$" las 2ri"as !" ",si=, <$"!", *r"ar 2ra,!"s "s$!io 2"ol=2i*o >a #$" las 2ri"as !" ",si=, <$"!", *r"ar 2ra,!"s 3allas ", la s$<"r*i" !"l
3allas ", la s$<"r*i" !"l "rr",o"rr",o.. 9E
9Essas as ,o,oaas s <r<r""",",!"!", , ",",3o3o*a*ar r "l "l a,a,llisisis is !" !" "s"saa%i%ilili!a!a! ! !"!" 'a,"ra 2","ral. S" <r"s",a, las r"3"r",*ias <ara "l "s$!io <os"rior 'a,"ra 2","ral. S" <r"s",a, las r"3"r",*ias <ara "l "s$!io <os"rior !" los <ro*"!i'i",os a,al&i*os a;a,?a!os ")is","s ", la li"ra$ra !" los <ro*"!i'i",os a,al&i*os a;a,?a!os ")is","s ", la li"ra$ra "s<"*iali?a!a. $ra!o@ 04
"s<"*iali?a!a. $ra!o@ 04
S" ")<li*a "l "#$ili%rio l&'i" > "l 3a*or !" s"2$ri!a! los *$al"s S" ")<li*a "l "#$ili%rio l&'i" > "l 3a*or !" s"2$ri!a! los *$al"s so
so, , !" !" '$'$**a a i'i'<o<orra,*a,*ia ia <a<ara ra "l "l i,i,2"2",i,i"r"ro o a a la la oora ra !" !" r"r"alali?i?arar *$al#$i"r <ro>"*o.
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&+)/ G*RAL &+)/ G*RAL Es$!iar@ a,ali?ar
Es$!iar@ a,ali?ar > *o'<r",!"r "l 'éo!os !" > *o'<r",!"r "l 'éo!os !" S<",*"rS<",*"r..
&+)/' 'P#0F)#' &+)/' 'P#0F)#' •
• Co,o*"r los 3a*or"s #$" i,"r;i",", ", la "sa%ili!a! !" losCo,o*"r los 3a*or"s #$" i,"r;i",", ", la "sa%ili!a! !" los al$!"s.
al$!"s. •
• I!",i*ar la 3I!",i*ar la 3alla alla <or l" 'é<or l" 'éo!o S<",*"ro!o S<",*"r..
$AR# +R)# $AR# +R)#
Glosario Glosario
Acu12ero li3re:
Acu12ero li3re: "s a#$"l "srao o 3or'a*i=, 2"ol=2i*a <"r'"a%l" #$" "s a#$"l "srao o 3or'a*i=, 2"ol=2i*a <"r'"a%l" #$" <"r'i" la *ir*$la*i=, > "l al'a*",a'i",o !"l
<"r'i" la *ir*$la*i=, > "l al'a*",a'i",o !"l a2$a s$%"rr,"aa2$a s$%"rr,"a <or s$s <or s$s <o
<ororos s o o 2r2ri"i"aas@ s@ #$#$" " s" s" ",",*$*$",",rra a ", ", !i!ir"r"**o o *o*o,,a*a*o o *o*o, , la la ?o?o,a,a s$%sa$ra!a !"l s$"lo. E, "s" a*$&3"ro la <r"si=, !" a2$a ", la ?o,a s$%sa$ra!a !"l s$"lo. E, "s" a*$&3"ro la <r"si=, !" a2$a ", la ?o,a s$<"rior "s i2$al a la <r"si=, a'os3éri*a@ a$'",a,!o ", <ro3$,!i!a! a s$<"rior "s i2$al a la <r"si=, a'os3éri*a@ a$'",a,!o ", <ro3$,!i!a! a '"!i!a #$" a$'",a "l "s<"sor sa$ra!
'"!i!a #$" a$'",a "l "s<"sor sa$ra!o.o. &uza!iento:
&uza!iento: "s "l s",i!o $ ori",a*i=, !" la i,*li,a*i=, !" los "sraos"s "l s",i!o $ ori",a*i=, !" la i,*li,a*i=, !" los "sraos ", $,
", $, r"li";"r"li";" !" !" <l"2a'i",o<l"2a'i",o 3or'a!o ", 3or'a!o ", ro*asro*as s"!i'",arias@ #$" so, s"!i'",arias@ #$" so, las #$" s" !is<o,", ", 3or'a !" *a<as o
las #$" s" !is<o,", ", 3or'a !" *a<as o "sraos"sraos..
Ora !",i*i=, !" %$?a'i",o "s "l ,2$lo #$" 3or'a "l <la,o a Ora !",i*i=, !" %$?a'i",o "s "l ,2$lo #$" 3or'a "l <la,o a '"!ir *o, r"s<"*o a $, <la,o ori?o,al@ > !"%" ir a*o'<aa!o <or "l '"!ir *o, r"s<"*o a $, <la,o ori?o,al@ > !"%" ir a*o'<aa!o <or "l s",i!o ", "l #$" "l <la,o %$?a o %a:a.
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<osi*i=,@ ori",a*i=, > 'or3olo2&a. <osi*i=,@ ori",a*i=, > 'or3olo2&a. Do4ela:
Do4ela: E,E, ar#$i"*$raar#$i"*$ra "" i,2",i"r&a *i;ili,2",i"r&a *i;il@ "s $, "l"'",o *o,sr$*i;o@ "s $, "l"'",o *o,sr$*i;o #$" *o,3or'a $,
#$" *o,3or'a $, ar*oar*o > #$" <$"!" s"r !" !i3"r","s 'a"rial"s@ *o'o > #$" <$"!" s"r !" !i3"r","s 'a"rial"s@ *o'o llaa!!rriillllo o oo <i"!ra<i"!ra. . AA**$$alal''"",," " ss" " ""lala%o%orara, , "",, or'i2=,or'i2=, concretoconcreto
ar'a!o
ar'a!o o o <r"",sa!o<r"",sa!o..
E, ar#$i"*$ra *lsi*a@ la !o;"la "s $,a <i"?a@ ,or'al'"," !" E, ar#$i"*$ra *lsi*a@ la !o;"la "s $,a <i"?a@ ,or'al'"," !" <i"
<i"!ra@ !ra@ ", ", 3or3or'a 'a !" !" *$*$a #$" *a #$" *o'<o'<o,"o,", "l, "l ar*oar*o o l a o l a %=;"!a%=;"!a > > s"s" *ara*"ri?a,
*ara*"ri?a, <or <or s$ s$ !is<osi*i=, !is<osi*i=, ra!ial.ra!ial. F
Faallllaa:: ""s s $$,,a a !!iiss**oo,,ii,,$$ii!!aa! ! ##$$" " ss" " 33oorr''a a <<oor r 33rraa**$$rra a "",, las
las ro*asro*as s$<"r*ial"s !" la s$<"r*ial"s !" la Ti"rra Ti"rra asa $,os 11 H' !" <ro3$,!i!a! asa $,os 11 H' !" <ro3$,!i!a! *$a,!o las 3$"r?as
*$a,!o las 3$"r?as "*=,i*as"*=,i*as s$<"ra, la r"sis",*ia !" las ro*as. s$<"ra, la r"sis",*ia !" las ro*as. Las
Las supsuper5er5ciecies s piepiezo!zo!6tr6tricaicas:s: s" s" r"r"<r<r"s"s",",aa, , '"'"!i!ia,a," " l&l&,","asas ;i
;irr$a$all"s "s #$#$" " $,$,", ", <$<$,,os os !" !" ii2$2$al al ;;alalor or !"!"l l ,i,i;";"l l 33rr""i*i*o o oo <i"?o'éri*o ", "l a*$&3"ro "s$!ia!o.
<i"?o'éri*o ", "l a*$&3"ro "s$!ia!o. *i4el
*i4el 2re"2re"tico:tico: *o*oa a a%a%sosol$l$a a "", , ' ' soso%r%r" " "l "l ,i,i;";"l l !"!"l l 'a'ar r #$#$"" *orr"s<o,!" a la <ar" s$<"rior !" sa$ra*i=, ", $, a*$&3"ro li%r". Es *orr"s<o,!" a la <ar" s$<"rior !" sa$ra*i=, ", $, a*$&3"ro li%r". Es $,
$,a a ;a;ariria%a%l" l" !" !" sisi2,2,ii*a*a!o !o <$<$,,$a$al@ l@ <$<$"s "s lla a *o*oa a !"!"l l a2a2$a $a ;;arar&a&a "s<a*ial'"," ", "l
"s<a*ial'"," ", "l "rr",o"rr",o Presión de poros:
Presión de poros: "s la <r"si=, !"l a2$a #$" ll",a los "s<a*ios ;a*&os. "s la <r"si=, !"l a2$a #$" ll",a los "s<a*ios ;a*&os. O*$rr" #$" *$a,!o "sa <r"si=, ll"2a a *i"ro ;alor@ "l s$"lo s" ;$"l;" O*$rr" #$" *$a,!o "sa <r"si=, ll"2a a *i"ro ;alor@ "l s$"lo s" ;$"l;" i,"sa%l"@ !"%i!o a #$" las
i,"sa%l"@ !"%i!o a #$" las <ar&*$las <i"r!", *o"si=, ",r" s&.<ar&*$las <i"r!", *o"si=, ",r" s&. 'uper5cie 2re"tica:
'uper5cie 2re"tica: "s la s$<"r*i" #$" li'ia s$<"rior'"," la ?o,a "s la s$<"r*i" #$" li'ia s$<"rior'"," la ?o,a sa$ra!a !" $,
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ESTABILIDAD DE TALUDES
ESTABILIDAD DE TALUDES
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ESTABILIDAD DE TALUDES
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Fig.7 $6todos De #"lculos Fig.7 $6todos De #"lculos
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ESTABILIDAD DE TALUDES
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$6todos de e8uili3rio l1!ite$6todos de e8uili3rio l1!ite S"
S" %a%asasa, , ""))**ll$s$sii;;a'a'"",," " "", , lalas s ll">">"s "s !" !" lla a "s"sii*a *a <a<arraa !
!""""rr''ii,,aar r ""l l ""ssaa!!o o !!" " ""##$$iillii%%rriio o !!" " $$,,a a ''aassa a !!" " ""rrrr"",,oo <o",*ial'"," i,"sa%l". No i",", ", *$",a las !"3or'a*io,"s !"l <o",*ial'"," i,"sa%l". No i",", ", *$",a las !"3or'a*io,"s !"l "
"rrrr",",oo. . S$S$<o<o,",", , #$#$" " la la rr"s"sisis"",*,*ia ia al al *o*orr" " s" s" 'o'o;i;ilili?a ?a ooaal l >> si
si'$'$ll,,"a"a'"'",," " a a lo lo lalarr2o 2o !" !" la la s$s$<"<"rr*i*i" " !" !" *o*orr". ". S" S" <$<$"!"!",", *lasi*ar a s$ ;"? ", !os 2r$<os+
*lasi*ar a s$ ;"? ", !os 2r$<os+ K
K Méo!os Méo!os ")a*os.")a*os. K
K Méo!os Méo!os ,o ,o ")a*os.")a*os. $6todos e9actos: $6todos e9actos:
La a<li*a*i=, !" las l">"s !" la "si*a <ro<or*io,a, $,a La a<li*a*i=, !" las l">"s !" la "si*a <ro<or*io,a, $,a so
sol$l$*i*i=, =, "")a)a**a a !"!"l l <r<ro%o%l"l"'a 'a *o*o, , la la ,,i*i*a a sasal;l;"!"!a! a! !" !" lalass si'<li*a*io,"s <ro<ias !" o!os los 'éo!os !" "#$ili%rio l&'i" si'<li*a*io,"s <ro<ias !" o!os los 'éo!os !" "#$ili%rio l&'i" a$
a$s",s",*ia *ia !" !" !"3!"3or'or'a*ia*io,"o,"s@ s@ 3a*3a*or or !" !" s"2s"2$ri$ri!a! !a! *o,*o,sasa," ," ",", o!a la s$<"r*i" !" ro$ra@ "*.. Eso s=lo "s <osi%l" ", al$!"s o!a la s$<"r*i" !" ro$ra@ "*.. Eso s=lo "s <osi%l" ", al$!"s !" 2"o'"r&a s",*illa@ *o'o <or ":"'<lo la ro$ra <la,ar > la !" 2"o'"r&a s",*illa@ *o'o <or ":"'<lo la ro$ra <la,ar > la ro$ra <or *$as.
ro$ra <or *$as.
$6todos no e9actos: $6todos no e9actos:
E, la 'a>or <ar" !" los *asos la 2"o'"r&a !" la s$<"r*i" E, la 'a>or <ar" !" los *asos la 2"o'"r&a !" la s$<"r*i" !" ro$ra ,o <"r'i" o%","r $,a sol$*i=, ")a*a !"l <ro%l"'a !" ro$ra ,o <"r'i" o%","r $,a sol$*i=, ")a*a !"l <ro%l"'a '"
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ESTABILIDAD DE TALUDES
ESTABILIDAD DE TALUDES
•• Méo!os <r"*isos o *o'<l"os+ *$'<l", o!as las "*$a*io,"sMéo!os <r"*isos o *o'<l"os+ *$'<l", o!as las "*$a*io,"s !" la "si*a. Los 's *o,o*i!os so, los !"
!" la "si*a. Los 's *o,o*i!os so, los !" Morgenstern-PriceMorgenstern-Price@@ Spercer
Spercer >> Bishop rigurosoBishop riguroso.F"r,a,!o Ro!r&2$"?@ 111..F"r,a,!o Ro!r&2$"?@ 111.
$+D D LA' D/LA'
$+D D LA' D/LA'
E, "s" 'éo!o s" s$<o," #$" las 3$"r?as #$" a*a, so%r" las *aras !" E, "s" 'éo!o s" s$<o," #$" las 3$"r?as #$" a*a, so%r" las *aras !" *$
*$alal#$#$i"i"r r !o!o;";"la la ii",",", ", $,$,a a rr"s"s$l$laa,," " ,$,$la la !" !" lalas s !o!o;";"lalas s #$#$"" *o'<o,",.
*o'<o,",.
E)is", oras ,$'"rosas ;"rsio,"s !" "s" 'éo!o. E, $,o !" "llos s" E)is", oras ,$'"rosas ;"rsio,"s !" "s" 'éo!o. E, $,o !" "llos s" s$<o," las i,*li,a*io,"s @ !" las 3$"r?as la"ral"s. E, 2","ral s" o'a, s$<o," las i,*li,a*io,"s @ !" las 3$"r?as la"ral"s. E, 2","ral s" o'a, las @ i2$al"s a la i,*li,a*i=, !l al$!. Es" 'éo!o so%r"!""r'i,a las @ i2$al"s a la i,*li,a*i=, !l al$!. Es" 'éo!o so%r"!""r'i,a a'%ié, "l sis"'a " !o;"las <"ro !a ;alor"s '$> sais3a*orias. E, s$ a'%ié, "l sis"'a " !o;"las <"ro !a ;alor"s '$> sais3a*orias. E, s$ 3or'a a*$al@ l 'éo!o r"#$i"r" r"sol$*i=, 2ra*a <or a,"os.
3or'a a*$al@ l 'éo!o r"#$i"r" r"sol$*i=, 2ra*a <or a,"os.
'-PRF)#) D D'L);A$)*+ #)R#-LAR' $+D D
'-PRF)#) D D'L);A$)*+ #)R#-LAR' $+D D
LA' D/LA'
LA' D/LA'
El 'éo!o !"s*rio ", la a,"rior *o,si$>" $,a 3or'a '$> sais3a*oria El 'éo!o !"s*rio ", la a,"rior *o,si$>" $,a 3or'a '$> sais3a*oria !" !""r'i,ar "l 3a*or !" s"2$ri!a! !"
!" !""r'i,ar "l 3a*or !" s"2$ri!a! !" al$!"s ", $, s$"lo o'o2é,"o@al$!"s ", $, s$"lo o'o2é,"o@ si, "'%ar2o@ si "l al$! s" *o'<o," !" 'as !" $, s$"lo@ o si ")is" $, si, "'%ar2o@ si "l al$! s" *o'<o," !" 'as !" $, s$"lo@ o si ")is" $, sis"'a !" $:o <o*o $s$al@ la i,$i*i=, >a ,o sir;" <ara r"s<o,!"r a la sis"'a !" $:o <o*o $s$al@ la i,$i*i=, >a ,o sir;" <ara r"s<o,!"r a la *$
*$"s"sii=,=,@ @ $é $é "s "s $, $, !i!issriri%$%$*i*i=, =, ra?ra?o,o,a%a%l" l" !" !" "s"s3$3$"r"r?o?os s soso%r%r" " lala s$<"r*i" !" !"sli?a'i",o A!"'s a '$*os i,2",i"ros l"s !is2$sa s$<"r*i" !" !"sli?a'i",o A!"'s a '$*os i,2",i"ros l"s !is2$sa
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*r&i*os #$" raa, !" <ro!$*ir la 3alla@ a lo lar2o !" $,a s$<"r*i" *r&i*os #$" raa, !" <ro!$*ir la 3alla@ a lo lar2o !" $,a s$<"r*i" s$<$"sa !" <osi%l" 3alla+
s$<$"sa !" <osi%l" 3alla+ F.S. Q R"sis",*ia al *or" F.S. Q R"sis",*ia al *or" Es3$"r?o al *ora," Es3$"r?o al *ora,"
E, s$<"r*i"s *ir*$lar"s !o,!" ")is" $, *",ro !" 2iro > 'o'",os E, s$<"r*i"s *ir*$lar"s !o,!" ")is" $, *",ro !" 2iro > 'o'",os r"sis","s > a*$a,"s+
r"sis","s > a*$a,"s+ FF.S. .S. Q MQ Mo'",o'",o o r"sisr"sis",",""
Mo'",o a*$a," Mo'",o a*$a," E)
E)iiss"",@ ,@ a!a!""''ss@ @ oorros os sisiss""''as as !" !" <l<la,a,""ar ar ""l l 3a3a**oor r !"!" s"2$ri!a!@ al"s *o'o la r"la*i=, !" al$ra *r&i*a > al$ra r"al !"l al$! > s"2$ri!a!@ al"s *o'o la r"la*i=, !" al$ra *r&i*a > al$ra r"al !"l al$! > 'éo!o <ro%a%il&si*o. La 'a>or&a !" los sis"'as !" a,lisis as$'", $, 'éo!o <ro%a%il&si*o. La 'a>or&a !" los sis"'as !" a,lisis as$'", $, *ri"rio !" 9"#$ili%rio l&'i" !o,!" "l *ri"rio !" 3alla !" Co$lo'% "s *ri"rio !" 9"#$ili%rio l&'i" !o,!" "l *ri"rio !" 3alla !" Co$lo'% "s sa
saisis3"3"**o o a a lo lo lalar2r2o o !" !" $,$,a a !"!"""r'r'i,i,a!a!a a s$s$<"<"rr*i*i". ". S" S" "s"s$$!i!ia a $,$, *$"r<o li%r" ", "#$ili%rio@ <ari",!o !" las 3$"r?as a*$a,"s > !" las *$"r<o li%r" ", "#$ili%rio@ <ari",!o !" las 3$"r?as a*$a,"s > !" las 3$
3$"r"r?a?as s rr"s"sisis"",,"s "s #$#$" " s" s" rr"#"#$i$i"r"r", ", <a<ara ra <r<ro!o!$*$*ir ir "l "l "#"#$i$ilili%r%rioio.. Cal*$la!a "sa 3$"r?a r"sis","@ s" *o'<ara *o, la !is<o,i%l" !"l s$"lo Cal*$la!a "sa 3$"r?a r"sis","@ s" *o'<ara *o, la !is<o,i%l" !"l s$"lo o ro*a > s" o%i"," $,a i,!i*a*i=, !"l 3a*or !" s"2$ri!a!.
o ro*a > s" o%i"," $,a i,!i*a*i=, !"l 3a*or !" s"2$ri!a!.
Oro *ri"rio "s "l !" !i;i!ir la 'asa a "s$!iar ", $,a s"ri" !" Oro *ri"rio "s "l !" !i;i!ir la 'asa a "s$!iar ", $,a s"ri" !" a:a!as@ !o;"las o %lo#$"s > *o,si!"rar "l "#$ili%rio !" *a!a a:a!a <or a:a!as@ !o;"las o %lo#$"s > *o,si!"rar "l "#$ili%rio !" *a!a a:a!a <or s"<ara!o. U,a ;"? r"ali?a!o "l a,lisis !" *a!a a:a!a s" a,ali?a, las s"<ara!o. U,a ;"? r"ali?a!o "l a,lisis !" *a!a a:a!a s" a,ali?a, las *o,!i*io,"s !" "#$ili%rio !" la s$'aoria !" 3$"r?as o !" 'o'",os. *o,!i*io,"s !" "#$ili%rio !" la s$'aoria !" 3$"r?as o !" 'o'",os. Jai'" S$ar"?@ 11.
Jai'" S$ar"?@ 11.
$+D D 'P*#R $+D D 'P*#R
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ESTABILIDAD DE TALUDES
ESTABILIDAD DE TALUDES
s" r"s$"l;", <ara *al*$lar los 3a*or"s !" s"2$ri!a! F > los ,2$los !" s" r"s$"l;", <ara *al*$lar los 3a*or"s !" s"2$ri!a! F > los ,2$los !" i,*li,a*i=, !" las 3$"r?as ",r" !o;"las .
i,*li,a*i=, !" las 3$"r?as ",r" !o;"las .
Para r"sol;"r las "*$a*io,"s F > @ s" $ili?a $, sis"'a !" ",sa>o Para r"sol;"r las "*$a*io,"s F > @ s" $ili?a $, sis"'a !" ",sa>o >
> "r"rrror or !o!o,!,!" " s" s" asas$'$'", ", lolos s ;a;alolorr"s "s !" !" ""ssos os 3a3a**oror"s "s "", , 3o3orr'a'a r"<"ii;a asa #$" s"
r"<"ii;a asa #$" s" al*a,?a $, ,i;"l al*a,?a $, ,i;"l a*"<a%l" !" "rrora*"<a%l" !" "rror..
U,a ;"? s" o%i",", los ;alor"s !" F > s" *al*$la, las !"'s U,a ;"? s" o%i",", los ;alor"s !" F > s" *al*$la, las !"'s 3$
3$"r"r?a?as s soso%r%r" " lalas s !o!o;";"lalas s i,i,!i!i;i;i!$!$alal"s"s. . El El 'é'éoo!o !o !" !" S<S<",",*"*"r r s"s" *o,si!"ra '$> <r"*iso > a<li*a%l" <ara *asi o!o i<o !" 2"o'"r&a !" *o,si!"ra '$> <r"*iso > a<li*a%l" <ara *asi o!o i<o !" 2"o'"r&a !" al$! > <"rl"s !" s$"lo > "s al ;"?@ "l <ro*"!i'i",o !" "#$ili%rio 's al$! > <"rl"s !" s$"lo > "s al ;"?@ "l <ro*"!i'i",o !" "#$ili%rio 's *o'<l"o > 's s",*illo <ara "l *l*$lo !"l 3a*or !" s"2$ri!a!. Jai'" *o'<l"o > 's s",*illo <ara "l *l*$lo !"l 3a*or !" s"2$ri!a!. Jai'" S$ar"?@ 11.
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ESTABILIDAD DE TALUDES
ESTABILIDAD DE TALUDES
D$'+RA#)* DL $+D D 'P*#RD$'+RA#)* DL $+D D 'P*#R S$'aoria !" 3$"r?as *o,
S$'aoria !" 3$"r?as *o, r"s<"*o ala ;"ri*alr"s<"*o ala ;"ri*al
D"s<":a,!o "l ;alor !" N 3$"r?as !" *o,a*o D"s<":a,!o "l ;alor !" N 3$"r?as !" *o,a*o
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ESTABILIDAD DE TALUDES
ESTABILIDAD DE TALUDES
R""
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ESTABILIDAD DE TALUDES
ESTABILIDAD DE TALUDES
S$'aoria !" 3$"r?as r"s<"*o a la ori?o,alS$'aoria !" 3$"r?as r"s<"*o a la ori?o,al
R""
R""'<la?a,!o "l ;alor '<la?a,!o "l ;alor !" N!" N
&i3liogra21a
&i3liogra21a
a,2"lo,"@ i. s. 101. 2"olo2ia > 2"o"*,ia.
a,2"lo,"@ i. s. 101. 2"olo2ia > 2"o"*,ia. estabilidad de taludesestabilidad de taludes @ 8. @ 8.
$ra!o@ :. E. 04.