“Año del buen servicio al ciudadano ” UNIVERSIDAD NACIONAL DE INGENIERIA
TEMA: “SOT!ARE "#ASE $”
"ROESOR: ING. VALENCIA CHAVEZ, ELVIS WILLIAM CURSO: MECANICA DE ROCAS II ALUMNO:
GUERRA LOYOLA, AARON NELSON
CODIGO:
20132077E
2017
INTRODUCCI%N Exis!" #$%i&s '&(!)&s & $"$)&*+$s (! %&-)!'$s %!/!"!s ! s! !(!" s$% $%$ (!!%'i"$% )$s /&"s!/!"/i$s %&(/i($s $) %!$)i$% /i!% /i!%$ $s s !x/$ !x/$#$ #$/i /i&" &"!s !s & $) !!% !!%/! /!%% /i!% /i!%$s $s !% !%$ $s s ! ! $!/ $!/! !" " )$ !x/$#$/i4". E"&"/!s s! 5$" !s$-)!/i(& %!)$/i&"!s !"%! )$s /$%*$s, %&i!($(!s (!) '$!%i$), !"si&"!s 6 (!&%'$/i&"!s. Ci!%&s /$'-i&s ! &/%%!" /&'& )$s (!s#i$/i&"!s %!$)!s s! !(!" (!!%'i"$% &% '!(i& (! )$ %!/&i)$/i4" (! )&s ($&s !'+%i/&s. H&6 !" (+$ !xis!" (i!%!"!s s&$%!s i'&%$"!s ! si%#!" $%$ &(! &(!%% $"$)i $"$)i$ $%% (i! (i!%! %!" "!s !s si si$/ $/i& i&"! "!s s ! ! &/% &/%%! %!" " !" !) '$/i '$/i& & %&/&s&, %&/&s&, /&'& !) $"8)isis $"8)isis (! !s!%&s, !s!%&s, (is!9& (!) s&s!"i'i s&s!"i'i!"& !"& $%$ !x/$ !x/$#$ #$/i& /i&"! "!s, s, $"8)i $"8)isi sis s (! !x/$ !x/$#$ #$/i /i&" &"!s !s s- s-!% !%%8 %8"! "!$s $s,, !/. !/. Y " s&$%! s&$%! ! s! s$ $%$ !) si*i!"! %$-$& !s !) :HASE 2.
O&'ETIVOS
O-!"!% )$ *%8;/$ (! )$s /%#$s is&#$)4%i/$s (! )&s !s!%&s %i"/i$)!s i"(/i(&s !" "$ !x/$#$/i4" s-!%%8"!$ /i%/)$% s$"(& !) s&$%! :HASE 2 (! ROCSCIENCE.
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D!'&s%$% )$ i)i($( (!) %&*%$'$ :HASE 2, $si'is'& s #!%s$i)i($( /&" (i#!%s&s /$s&s %!s!"!s !" )$ %!$)i($(.
M&s%$% )&s %!s)$(&s (! )&s ($&s %!s!"$(&s, si!"(& !s$s )$s )$s *%8; *%8;/$ /$s s '&s '&s%$ %$($ ($s, s, ! i(!" i(!"i i;/ ;/$% $% )$s )$s (i! (i!%%!"/i !"/i$s $s ! i*$)($(!s (! !s$s.
UNDAMENTO TEORICO
M(TODO DE LOS ELEMENTOS INITOS )ME* E) '<&(& (! )&s !)!'!"&s ;"i&s !s " '<&(& (! $%&xi'$/i4" (! %&-)!'$s /&"i"&s, (! $) &%'$ !=
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-or+a0 E) ME?, &% $"&, s! -$s$ !" %$"s&%'$% " /!%& (! "$%$)!$ /&"i"$ !" " '&(!)& (is/%!& $%&xi'$(&, !s$ %$"s&%'$/i4" s! (!"&'i"$ (is/%!i$/i4" (!) '&(!)&. E) /&"&/i'i!"& (! )& ! s/!(! !" !) i"!%i&% (! !s! '&(!)& (!) /!% /!%& & $%& $%&xi xi'$ '$(& (&,, s! &-i &-i!" !"! ! '!(i '!(i$" $"! ! )$ i"! i"!% %&) &)$/ $/i4 i4" " (! )&s )&s #$)&%!s /&"&/i(&s !" )&s "&(&s. Es &% $"& "$ $%&xi'$/i4" (! )&s #$)& #$)&%! %!s s (! "$ "$ "/ "/i4 i4" " $ $%i $%i%% (!) (!) /&"& /&"&/i /i'i 'i!" !"& & (! " ">'! ">'!%& %& (!!%'i"$(& 6 ;"i& (! "&s. NO@A= NO@A= :&% /!si&"!s i)s%$i#$s s&)& s! '!"/i&"$%$ )$ si*i!"! !x%!si4" E" " %&-)!'$ $ $"$)i$% &% !) '<&(& (! !)!'!"&s ;"i&s, /&"&/!%!'&s )$s !%$s !x!%"$s !x!%i&%!s $)i/$($s !" $)*"&s (! )&s "(&s 6 )&s #$)&%!s (! )&s (!s)$$'i!"&s !" &%&s.
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DESCRI"CI%N DEL SOT!ARE "#ASE $: :5$s! 2 !s " &(!%&s& %&*%$'$ 2D $%$ $"8)isis (! !)!'!"&s ;"i&s 6 $"8)isis (! !s!%&s $%$ !x/$#$/i&"!s s-!%%8"!&s & (! s!%;/i! !" %&/$ & s!)&. E) s&$%! !(! s!% i)i$(& $%$ "$ $')i$ *$'$ (! %&6!/&s (! i"*!"i!%+$ 6 (is!9&, ! i"/)6! s&&%! $ )$ !s$-i)i($( (! $)(!s, i";)%$/i4" (! $*$s s-!%%8"!$s 6 $"8)isis %&-$-i)+si/&.
:5$s! 2 !(! s!% i)i$(& $%$ '&(!)$% )$ !x/$#$/i4" (! "$ 'i"$ $ /i!)& $-i!%&. E) '&(!)& !(! s!% !x/$#$(& !" !$$s 6 !(! i"/) i"/)i i%% $)) $))$s $s s- s-#! #!% %i/ i/$) $)!s !s ! ! i"!% i"!%/! /! $" $" !) !%% !%%!" !"&. &. M&(! M&(!)& )&s s /&')! /&')!&s &s & (! ')i ')i!x !x/$# /$#$/i $/i4" 4" !(!" !(!" s!% 8/i)' 8/i)'!" !"! ! /%!$( /%!$(&s &s 6 %8i($'!"! $"$)i$(&s >"!)!s !" %&/$ (<-i) & $%i/)$($, /$#!%"$s s- s-!% !%%8 %8"! "!$s $s,, 'i"$ 'i"$s s $ /i!) /i!)& & $-i! $-i!% %& & 6 !"( !"(i! i!" "!s !s,, #!% #!%!( !(!% !%&s &s,, !s% !s%/ / %$ %$s s (! i!% i!%%$ %$ !s$ !s$-i -i)i )i$ $($ ($s s MSE MSE 6 '/5 '/5& & '8s. '8s. ?$))$ $))$ %&*%!si#$, i"!%$//i4" (! $&6& 6 "$ #$%i!($( (! &%&s %&-)!'$s !( !(!" !" s!% s!% $-&% $-&%($ ($($ ($s. s. O%! O%!/! /! "$ "$ $') $')i$ i$ *$'$ *$'$ (! &/i& &/i&"! "!s s (! '&(!)$! (! $&6&. E)!'!"&s (! %!#!si'i!"& !(!" s!% $)i/$(&s !" !) '&(!)$! %&6!/$(&= /&"/%!&, sis!'$s (! /&""& (! $/!%&, '%&s (! /&"!"/i4", i)&!s, ')i/$$ (! %!#!si'i!"& /&'!s&, *!& !xi)!s 6 '/5& '8s. U"$ (! )$s /$%$/!%+si/$s %i"/i$)!s (! :5$s! 2 !s !) $"8)isis (! !)!'!"&s ;"i&s 6 (! !s$-i)i($( (! $)(!s s$"(& !) '<&(& (! %!(//i4" (! !%$ (! /&%!. Es$ &/i4" !s &$)'!"! $&'$i$($ 6 !(! s!% s$($ /&" /$)i!% $%8'!%& (! !%$ M&5%C&)&'& (! H&!F%&". L&s '&(!)&s (! i"/)i"$/i4" !(!" s!% i'&%$(&s!x&%$(&s !"%! !) S&$%! S)i(! 6 :5$s! 2 !%'ii!"(& "$ "$ /&' /&'$% $%$/ $/i4 i4" " 8/i 8/i)) (! !i !i)i )i-% -%i& i& )+'i )+'i! ! 6 )&s )&s %!s) !s)$ $(& (&s s (! !)!'!"&s ;"i&s.
"AR1M R1METR ETROS &RIN IND DADOS DOS "OR "OR EL IN INGE GEN NIER IERO "ARA ARA LA DETERMINACI%N DE LOS ESUER2OS M13IMOS 4 M5NIMOS6 4 ACTOR DE SEGURIDAD
DESARROLLO DEL "ROGRAMA "#ASE $ A-%i A-%i'& '&s s " "!# "!#& & %&6 %&6!/ !/& & 6 )& *$% *$%($ ($'& '&s s !" "$ "$ /$% /$%! !$ $ (! "!s%$ /&'$(&%$.
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:%&/!(!'&s $ (i-$% )$ !x/$#$/i4" !x/$#$/i4" !" &%'$ /i%/)$%. /i%/)$%. I"%&(/i'&s )$ )!%$ “i” !" !) /$(%& (!%!/5& i"!%i&% $%$ s!)!//i&"$% )$ &/i4" (! “/+%/)&”.
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S!)!//i&"$'&s " "& (! )$ 5&$ (! %$-$& 6 s! (i-$ $&'8i/$'!"! "!s%& /+%/)&.
L!*& (! !s& %&/!(!'&s $ $9$(i% $ )$ e7cavaci/n e7,ernal ! s!%8 !) 8%!$ (&"(! #$'&s $ %$-$$% & $"$)i$% )&s !s!%&s i"(/i(&s, $%$ !))& %!$)i$%!'&s )&s si*i!"!s $s&s=
N&s $$%!/!%8 " /$(%& /&'& s! '!s%$ $ /&"i"$/i4"=
E" !) /$(%& s!)!//i&"$'&s “OB” 6 "&s $$%!/!%8 )$ *%8;/$ si*i!"!=
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D!s< D!s
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L$ *%8;/$ "&s %!s)$ (! )$ si*i!"! '$"!%$=
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C&" !s! $s& &(%!'&s #!% )$s (i#!%s$s *%8;/$s=
GRAICA DEL SIGMA 8
GRAICA DEL SIGMA 9
GRAICA DEL ACTOR DE SEGURIDAD
GRAICA DE LEC#AS DEL ACTOR DE ESUER2OS
CONCLUSIONES
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E) %&* %&*%$ %$'$ '$ :5$s :5$s!2 !2 !s "$ "$ 5!%% 5!%%$' $'i! i!" "$ $ '6 '6 >i) >i) ! ! "&s "&s !%'i !%'i! ! (!!% (!!%'i" 'i"$% $% )&s %!s) %!s)$( $(&s &s ! s! %!i %!i!% !%!" !" (! "$ '$"!%$ '8s %8i($ 6 %!/is$, )& ! $ "&s&%&s !" " %$-$& "&s &'$ #$%i&s (+$s. E) %&* %&*%$ %$'$ '$ !s '6 '6 #!%s #!%s8 8i) i) !% !%'ii 'ii<" <"(& (&"& "&s s ($% ($% '/5 '/5$s $s /$%$ /$%$/ /!% !%+s +si i/$ /$s s $ )$s )$s !x/$#$ /$#$/i /i&" &"!s !s,, si!" si!"(& (& !s$ !s$s s ;*% ;*%$s $s /&"&/i /&"&/i($s ($s /i%/ /i%/)$ )$%! %!s, s, %!/$ %!/$"* "*)$% )$%!s, !s, /&%! /&%!,, !/. !/. 6 !" &%&s &%&s /$s& /$s&s s ;*% ;*%$s $s (!s/ (!s/&" &"&/ &/i( i($s $s 6 '6 '6 (!& (!&%' %'!s !s %$%$-$ $$" $"(& (& 6 5$))$"(& &($ )$ i"&%'$/i4" !%$ (! s -&%(!. Es& 'is'& s/!(! /&" !) '$!%i$) $)%!(!(&% (! !s$. E" !) i"&%'! $"!%i&% "& s! ))!*4 $ s$% !) '4()& (! Y&"* $si'is'& $'&/& !) /&!;/i!"! (! &iss&", si!"(& !" !s! /$s& /$s& !#$) !#$)$ $(& (&s s 6 !"i !"i!" !"(& (& !!/ !!/& & !" )$ *!"! *!"!%$ %$/i4 /i4" " (! )$s )$s /%#$s is&#$)&%i/$s !" /$($ /$s&. E" !) %!s!"! i"&%'! s! '!s%$ )$s *%8;/$s, si!"(& !s$s '6 si'i)$%!s $ )$s *!"!%$($s !" !) %i'!% i"&%'!, $si'is'& !s$ !s$ s! (i! (i!%! %!"/ "/i$ i$ !" )$ %!s %!s!" !"/i /i$ $ (! /&)& /&)&%! %!s s &"$ &"$)! )!s s $%$ $%$ (i!%!"/i$% 6 &(!% (!!%'i"$% &"$s (! '$6&% #$)&% 6 &"$s (! '!"&% #$)&% ! %!s!"$ (i/5$ *%8;/$, )$ /$) -!"!;/i$ '/5& !" !) !s(i&. E) %&*%$'$ :5$s!2 $"$)i$ )&s !s!%&s '!(i$"! !) $"$)isis (! )&s "&(&s ! s! *!"!%$" !" )$ '$))$ si!"(& !s&s "&(&s )&s #$)&%!s ! $"$)i$, s! &-s!%#& ! '!(i$"! '$6&% /$"i($( (! "&(&s s! %!s!"! s! &-!"(%$ "$ '!&% *%8;/$, (&"(! )$s /%#$s /%#$s is&#$) is&#$)&%i &%i/$s /$s '!s% '!s%$" $" " /&'&% /&'&%$' $'i!" i!"& & "i&% "i&%'!. '!. Asi'is'& (!!"(i!"(& (!) $"$)isis (!) i& (! '$))$ s$($ !s$ *!"!%$%$ "$ *%8;/$ (i!%!"! ! (!!"(! (! )$ &%'$ (! )$ '$))$.
BIBLIOGRAFÍA
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Apuntes de clase de de Mecánica de rocas II Distrib Distribuc ución ión de esfuer esfuerzos zos alrede alrededor dor de una excav excavaci ación ón (Ing. (Ing. David David Córdova Rojas
