Informe Replanteo Curvas Guia Re

“Año de la Promoción de la Industria Responsable y   del Compromiso Climático”

“INFORME: TRABAJO DE CAMPO" INTEGRANTE!

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ARRI ARRIET ETA A SIGU SIGUAS AS,, ISAB ISABEL EL ROS ROSAR ARIO IO CUAD CUADRO ROS S MEDR MEDRANO, ANO, NAT NATALY ALY JULI JULISSA SSA HERE HERENC NCIA IA AYB AYBAR AR,, LUI LUIS S FERN FERNAN ANDO DO PÉRE PÉREZ Z LEÓ LEÓN, N, EDG DGAR AR JHU JHUNI NIO OR ROJA ROJAS S HUA HUACH CHUA UA,, KA KATERI TERIN N MARI MARILLU SÁNC SÁNCHE HEZ Z BEL BELLIDO LIDO,, AXE AXEL

"#CENTE!

- ING. ED EDUARDO IN INJANTE  AIGNAT$RA!  AIGNA T$RA!

- CAMINOS I TE%A!

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REPLANTEO DE CURVAS GEOMÉTRICAS

ICA - PERÚ

UNIVERSIDAD ALAS PERUANAS FILIAL ICA FACULT FACULTAD DE INGENIERIA INGENIE RIA CIVIL

INFORME  T!"#  T!"# R$%"&'( ) C*+" G(!'+/0" H(+/1(&'"%. P"+'/0/$"&'# E'*)/"&' )% 2'( C/0%(, ) %" 3"0*%'") ) I&4&/+5" C//%. F"0/%/'")(+# I&4. E)*"+)( I&6"&'.

INTRODUCCIÓN

UNIVERSIDAD ALAS PERUANAS FILIAL ICA FACULT FACULTAD DE INGENIERIA INGENIE RIA CIVIL

INFORME  T!"#  T!"# R$%"&'( ) C*+" G(!'+/0" H(+/1(&'"%. P"+'/0/$"&'# E'*)/"&' )% 2'( C/0%(, ) %" 3"0*%'") ) I&4&/+5" C//%. F"0/%/'")(+# I&4. E)*"+)( I&6"&'.

INTRODUCCIÓN

S 0(&(0 7* % P+8  *& $"5 4(4+9:0"!&' "+/")(, ;" 7* '/& 1(&" !*; "%'", 0(!( 1(&" 7*  &0*&'+"& $(+ )<"6( )% &/% )% !"+= %( 0*"% )/:0*%'" % '+"<"6( ) %( '($>4+"3(, /&4&/+( ; 4>%(4( 7* '+"'"& ) &/%"+ %( '++&( $"+" $()+ '+"<"6"+ & %%(. R%"0/(&"&)( '" 0"+"0'+5'/0" ) &*'+( $"5 0(& &*'+( 0*+(, &( )"!( 0*&'" ) 7* ?"; <"' '" "&' 7* "$+ $+ &)+ $"+" )"++(%%"+%( %*4( & % 0"!$( ) "$%/0"0/>&. S(!( &(('+(, %( /&4&/+(, 7*/& &( &0"+4"+!( ) )/@"+ %" 0"++'+" 7* /&'+0(&0'"+9& )/+" 0/*)") ; $*<%( ) &*'+( $"5, 7* &( (<%/4"+9& " /)"+ (%*0/(& "&' ' '/$( ) 4(4+"35". P"+" 7* %( **"+/( ) %" 0"++'+" " 0(&'+*/+ ";"& 0>!()(, ; " %" 1 "4/%/0!( ; <+/&)!( *& !";(+ ; +9$/)( +/0/( ?"0/" %( !/!(.  Y / !( +(%+%( ) %" !6(+ !"&+". E /!$(+'"&' +"%'"+ 7* % "$+&)/1"6 )% +$%"&'( ) %" 0*+" 4(!'+/0" 4(! '+/0"  /&)/$ /&)/$&"< &"<%, %, ;" 7*  *&( ) %( '"&'( 0/!/&'( 0/!/&'( $"+" %"<(+"+ *&" 0"++'+".

MARCO TEORICO TRAZADO DE UNA CARRETERA

E% '+"1")( 0(&/' %" *& & %" $(%/4(&"% $(%/4(&"% ) )/@( ) 0"++'+" 0"++'+" & % '++&(. E'( +7*/+ 7* *& PI 7* (& %( +'/0 ) %" $(%/4(&"%, *'/%/1"&)( * 0((+)&")" UTM.

TRAZADO EN PLANTA

L( $+/&0/$"% %!&'( ) )/@( )% '+"1")( ) *&" 0"++'+" & $%"&'" (&# %" +0'", %" 0*+" 0/+0*%"+ ; %" 0*+" ) '+"&/0/>&. L" &(+!"'/"  0&'+" & % 09%0*%( ) %( +")/( !5&/!( ) %" 0*+" 0/+0*%"+ & 3*&0/>& ) %" %(0/)") ) $+(;0'(, "5 0(!( %" %(&4/'*) !5&/!" ) %" 0*+" ) '+"&/0/>&, 0"%0*%")" & 3*&0/>& ) "+/( 0+/'+/( ) 4*+/)") ; 0(!()/)"). L" &(+!"'/", ")!9, $+ )/+" 3(+!" ) 0(!
E% '+ '+"1 "1") ")( ( & "% "%1" 1")( )( ) *& '+ '+"! "!( (  0( 0(!$ !$(& (&  ) %" ") ")0 0*" *")" )" 0(!& ) %( /4*/&' %!&'(# /&0%/&"0/>& ) %" +""&'

"0&)/&' ( )0&)/&' ; "0*+)( +'/0"% $"+9<(%" 0>&0"" ( 0(&". COORDINACIÓN ENTRE PLANTA Y ALZADO L( '+"1")( & $%"&'" ; "%1")( ) *&" 0"++'+" )<& '"+ 0((+)/&")( ) 3(+!" & %" 7* % **"+/( $*)" 0/+0*%"+ $(+ %%" ) !"&+" 0>!()" ; 4*+", /& $+(0*$"0/(& ; /& &0/)") ) +"%/1"+ !"&/(<+" $0'"0*%"+ $"+" /'"+ "%48& '/$( ) "00/)&' $(+ "%4*&" 3"%%" & %" 5". • 

Replanteo de Carreteras:

C(&/' & %" )!"+0"0/>& ( )%/!/'"0/>&, & % '++&( %4/)( $"+" %" (<+", ) %" $"+' 7* 0(!$(&& *&" 0"++'+", 0(!(# %" 0*+", <(+) ) 0"%1")", <+!" ( $"%)(&, &'+ ('+" 7*  /+9& "$+&)/&)( " %( %"+4( )% 0*+(. • 

Sistemas de referencias terrestres:

P"+" '()( %( 0"( ) +$%"&'( ) :4*+" & % $"0/(  &0/'" *& $*&'( ) +3+&0/" Y 6 ) +3+&0/". A '( /'!"  %( )&('" 0(& % &(!<+ ) DATUM. E& 4()/" *& DATUM  *& 0(&6*&'( ) $*&'( ) +3+&0/" & %" *$+:0/ '++'+ & <" " %( 0*"% %" !)/)" ) %" $(/0/>& (& '(!")". C(&'" ) *& !()%( !"'!9'/0( 7* +$+&'" %" 3(+!" ) %" '/++" 0(!( *& 0*+$( %/$(/)"%. • 

Sistema de coordenadas geográcas:

L" 0((+)&")" 4(4+9:0" (& *& /'!" ) +3+&0/" 7* *'/%/1" %" )( 0((+)&")" "&4*%"+, %"'/'*) N(+' ; S*+ ; %(&4/'*) E' ; O' ; /+ $"+" )'+!/&"+ %( %"'+"% ) %" *$+:0/ '++'+ ( & 4&+"% ) *& 05+0*%( ( *& 3+(/). E'" )( 0((+)&")" "&4*%"+, /!$+ !)/)" )) % 0&'+( ) %" T/++", (& ) *& /'!" ) 0((+)&")" 3+/0" 7* '9& "%/&")" 0(& * 6 ) *& /'!" ) 0((+)&")" 4(4+9:0" /&0%*; *& DATUM, !+/)/"&( $+/&0/$"% ; *&/)") "&4*%"+. E'" 0((+)&")"  *%& $+"+ & 4+")( "4/!"%. LA LATITUD

M/) % 9&4*%( &'+ 0*"%7*/+ $*&'( ; % 0*")(+  %5&" 0*"'(+/"%. L" %5&" ) %"'/'*)  )&(!/&"& $"+"%%(. L" %"'/'*)  % 9&4*%( 7* /' &'+ *& $*&'( 0*"%7*/+" ; % E0*")(+, !)/)" (<+ %

!+/)/"&( 7* $"" $(+ )/0?( $*&'(. L" )/'"&0/" & ! " %" 7* 7*/"% *& 4+")( ) )/0?( !+/)/"&( )$&) ) %" %"'/'*), " !)/)" 7* %" %"'/'*) "*!&'" )/!/&*;& %( /%>!'+( $(+ 4+")(. P"+" % $"+"%%( )% E0*")(+, "
L" %"'/'*)  *% $+"+ & 4+")( "4/!"%.  T()( %( $*&'( *& N(+' N. A7*%%( 7*  &0*&'+"& "% *+ )% E0*")(+ +0/<& %" )&(!/&"0/>& S*+ S. S !/) )  " . A% E0*")(+ % 0(++$(&) %" %"'/'*) . L( $(%( N(+' ; S*+ '/&& %"'/'*)  N ;  S +$0'/"!&'. LA LONGITUD

M/) % 9&4*%( " %( %"+4( )% E0*")(+ )) 0*"%7*/+ $*&'( ) %"  T/++". S "0$'" 7* G+&/0? & L(&)+  %" %(&4/'*)  & %" !";(+5" ) %" (0/)") !()+&". L" %5&" ) %(&4/'*) (& 05+0*%( !9/!( 7* $""& $(+ %( $(%( ;  %%"!"& !+/)/"&(. P"+" %( !+/)/"&(, "
SISTEMA DE COORDENASAS UNIVERSAL TRANSVERSA DE MERCATOR (UTM)

E% /'!" UTM  *& /'!" ) 0((+)&")" <"")( & %" $+(;00/>& 0"+'(4+9:0" '+"&+" ) MERCATOR= %" !"4&/'*) & % /'!" ) UTM  $+"& & !'+( 8&/0"!&' "% &/% )% !"+. PROYECCION DE MERCATOR

F"!(( $(+ /)"+ %" %%"!")" “Pr!##$%& ' Mr#r*, G+"+) K+!+, 0(&(0/)( & %" R$*<%/7* ) L''+ <"6( * &(!<+ %"'/&/1")( ) G+"+)* M+0"'(+ ; & ''( 3+"&0 0(!( G+"+) M+0"'(+ &"0/)( %  ) !"+1( )  ; 3"%%0/)( %  ) )/0/!<+ ) , '"!4+"3( "!&0(. E& %" $+(;00/>& ) M+0"'(+  +$'"& %" 3(+!" ) %( 0(&'/&&' $+( &( %( '"!"@(. E' /'!" ) $+(;00/>&  %%"!" #&+r,. DISEO GEOMETRICO

E %" '0&/0" ) /&4&/+5" 0//% 7* 0(&/' & /'*"+ % '+"1")( ) *&" 0"++'+" ( 0"%% & % '++&(. L( 0(&)/0/(&"&' $"+" /'*"+ *&" 0"++'+" (<+ %" *$+:0/ (& !*0?(, &'+ %%( %" '($(4+"35" )% '++&(, %" 4(%(45", % !)/( "!
G&+"%!&'  '*)/"& "+/( 0(++)(+ ;  '/!" 0*9% $*) + % 0(' "!!/0( ( (0/"% ) %" 0(&'+*00/>& ) %" 0"++'+". U&" 1 %4/)( *& 0(++)(+  )'+!/&" % '+"1")( "0'(, !/&/!/1"&)( % 0(' ; '/!"&)( & % $+(;0'( ) 0(&'+*00/>& % 0(' '('"%, $0/"%!&' % 7* *$(&)+9 % (%*!& ) '/++" )$%"1")( ; % :+! &0"+/(. DISEO .ORIZONTAL

E$0/:0" /&3(+!"0/>& "0+0" ) %" $%"&/!'+5", 0(!( )% 6 ) %" 0"++'+", 0*+" ?(+/1(&'"%, (<+"&0?(, '0. E% 6 ) %" 0"++'+"  )'"%%" & %" /'" & $%"&'" )% $+(;0'( ?(+/1(&'"% 7*  &0*&'+" & %( $%"&(. E' 6 '9 0(!$*'( $(+ "%/&"!/&'( ?(+/1(&'"% +0'(, &%"1")( $(+ "%/&"!/&'( ?(+/1(&'"% 0*+(. E' 6 ,  &0*&'+" 00/(&")( $"+'/&)( ) *& $*&'( /&/0/"% ) 0"++'+" P( 0")"  !'+( ( !&( ?"'" %%4"+ "% $*&'( :&"% ) 0"++'+" PF.

T$/0 ' 1$&#$&0 2r$3&10:

L" "%/&"0/(& ?(+/1(&'"% ( "%/&"0/(& & $%"&'" /'( )) % $*&'( ) /'" *$+/(+ (& ) '+ '/$(#

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L" "%/&"0/>& +0'"# E *&" %5&" +0'". E %" "%/&"0/>& !9 )")", 0(& <*&" //& & '+"!( !*; %"+4( $(+ %( 7* '/&& 7* + 0(!& !9/!" $"+" %" %(&4/'*) ) %" +0'" 7* 7*/"% " %" %(&4/'*) 7* +0(++ *& ?50*%( " %" %(0/)") !9/!" ) %" 0"++'+" )*+"&' 2 4*&)(, ; *&" %(&4/'*) !5&/!" ) +0'" )  4*&)(.

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L" "%/&"0/>& 0*+" ( 0/+0*%"+ # L" 0*+" ) *&" 0"++'+" (& 0/+0*%"+ ( 0'(+ ) 0/+0*&3+&0/". C*"&'( !";(+ " % +")/( !";(+ +9 %" %(0/)") 7* $*)"& "%0"&1"+ %( ?50*%( "% $"( $(+ 0*+".

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L" "%/&"0/>& ) '+"&/0/>& # L" 0%('(/)  %" 0*+" 7* " "+/"&)( ) +")/( 48& ""&1"!( ) %(&4/'*). L" 0%('(/)  /&'+0"%"& &'+ %" "%/&"0/(& +0'" ; %" "%/&"0/(& 0*+" $"+" $+!/'/+ *&" '+"&/0/>& 4+")*"% ) 0*+"'*+".  T()( %( ?50*%( )"++(%%"& *&" 0%('(/) 0*"&)( "& 4/+"&)( * 6 )/+0'(+ )/!/&*;&)( ( "*!&'"&)( %" 0*+"'*+" 7* )0+/<&. L" 0%('(/) '"!
DISEO VERTICAL

E$0/:0" /&3(+!"0/>& +%"0/(&")" " %" "%'/!'+5", 0(!( % $+:% ) %(&4/'*), 0*+" +'/0"%, % $+"%', '0. E& % $+:% %(&4/'*)/&"%  )'"%%"& %( "%/&"!/&'( +'/0"%, * 4+")/&' %(&4/'*)/&"% "5 0(!( %" 0*+" +'/0"% 0(& * $"+9!'+( !9 /!$(+'"&' ; 0('" +$0'/". S )&('" %" %5&" +(6" 7* +$+&'" % $+:% )% '++&( &"'*+"% (<+ % 7*  0(&'+*/+9 % $+(;0'( 7* " * 1 +9 )&('")( 0(& %" %5&" &4+".

A% *&/+ )( "%/&"!/&'( +'/0"% 4&+"& %" 0(&(0/)" 0*+" +'/0"% 7* $*)& + 0>&0"" ( 0(&",. P"+" % )/@( ) *&" 0*+" '/0"  )< '&+ & 0*&'", /  0>&0"" ( 0(&", $(+7* 0")" *&" ) %%" (<)0 " *& 09%0*%( )/'/&'(. T$/0 ' 1$&#$&0 4r$#10:

L" "%/&"0/(& +'/0"% (& ) )( '/$(# • 

 Alineaciones rectas verticales.

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 Acerdos verticales, 7* (& $"+9<(%" 7* *&& "%/&"0/(&

+0'". L" +"1>& ) *"+ $"+9<(%"  7* (& %" 0*+" ) "0*+)( 7* $+!/'& *&" !";(+ //
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A#5r'0 #&460: A7*%%( 0*;( $*&'( !9 %")(  &0*&'+" & % 0&'+(. S '*)/" $"+" $+!/'/+ 7* % ?50*%( '&4" /!$+ //
Cr#r70$#0 ' 10 #5r'0 4r$#10#

L( "0*+)( +'/0"% /&& ):&/)( $(+ )( $"+9!'+( ; *&( '+0+( )$&)/&'# •

Q # D/3+&0/" ) /&0%/&"0/>& &'+ %" )( "%/&"0/(& +0'" 7* *&& % "0*+)(. '"&'( $(+ *&(

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K 

# R")/( ) %" 0/+0*&3+&0/" (0*%"'+/1 " %" $"+9<(%". !

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L

# L" %(&4/'*) '('"% )% "0*+)(. !

E8UIPOS Y .ERRAMIENTAS PARA EL TRAZADO Y  REPLANTEO CON ESTACIÓN TOTAL E0#$%& T1 (RECOMENDADO):

E *& "$"+"'( %0'+(->$'/0( *'/%/1")( & %" '($(4+"35", ; 0(&/)+")( & ' '+"<"6( 0(!( % $+/&0/$"%. C(&/' & %" /&0(+$(+"0/>& ) *& )/'"&0/>!'+( ; *& !/0+($+(0")(+ " *& '()(%/'( %0'+>&/0(. A%4*&" ) %" 0"+"0'+5'/0" 7* /&0(+$(+" ; 0(& %" 0*"% &( 0*&'"& %( '()(%/'(, (& *&" $"&'"%%" "%3"&*!+/0" ) 0+/'"% %57*/)( LCD, $+&'"0/>& ) "/(, /%*!/&"0/>& /&)$&)/&' ) %" %*1 (%"+, 0"%0*%")(+", )/'"&0/>!'+(, ; !!(+/" ) "%!"0&"!/&'( ) )"'(, %( 0*"% $+!/' *'/%/1"+%" & % 3*'*+( & 0(!$*'")(+ $+(&"%. C(!( & T('"%  !*; /!$(+'"&' $+( '"!
L" ?++"!/&'" (& '"& /!$(+'"&' 0(!( % /&'+*!&'( $+/&0/$"%, & ' 0"( %" E'"0/>& T('"%. S/& %%" % $+(&"% '($(4+9:0( &(  $*) +"%/1"+. • 

Tr!pode" #ast$n % prisma. E%!&'( 0(&6*&'( "% T()(%/'( (

E'"0/>& T('"%.

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Cinta m&trica % 'e($metro . E *& /&'+*!&'( ) !)/)" 7*

0(&/' & *&" 0/&'" /<% 4+")*")" ;  $*) &+(%%"+, ?"0/&)( 7* % '+"&$(+' " !9 390/%. T"!
Estacas" com#as" martillos % clavos.  H++"!/&'" *")" $"+"

!"+0"+ )/+( $*&'( 7* &( ";*)"+9& " )/<*6"+ &*'+" 0*+" & % '++&(, %" '"0" $*)& + ) !")+" ( ) "0+(.

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Teodolito . E *& /&'+*!&'( ) !)/0/>& !09&/0(->$'/0" 7*

 *'/%/1" $"+" (<'&+ 9&4*%( +'/0"% ;, & % !";(+ ) %( 0"(, ?(+/1(&'"%. .

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 )al$n. E *& "00(+/( $"+" +"%/1"+ !)/0/(& 0(&

/&'+*!&'( '($(4+9:0(.

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Cordel. E *&" ?++"!/&'" !$%")" $"+" '+"1"+ ( '/1"+ *&"

0(&'+*00/>&.

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Ti*a o Cal. E *&" ?++"!/&'" 7*  *'/%/1" $"+" ?"0+ % '+"1( ;

+$%"&'(.

Tr3' ' 1 /1$9&1 ' '$0<: Reconocimiento % #icaci$n de los pntos de inicio % n de la carretera:

E'( $*&'( '9& 0(&/4&")( & %( $%"&(. G&+"%!&'  *
Tra*ado de la poligonal de dise+o por coordenadas:

L( P*&'( A*/%/"+ P A*., (& ?/'( 7* % '($>4+"3( 0(%(0" & % 0"!$(, )(&) 0+ 0(&&/&', $"+" "5 '+"%")"+ %" E'"0/>& T('"% (  T()(%/'(, 0(& % (<6'/( ) '&+ *&" !6(+ /*"%/1"0/>& ) %( $*&'( " +$%"&'"+, 0(!( $(+ 6!$%( & 1(&" %")".

Compro#aci$n Anglar:

O3+0& /&3(+!"0/>& "0+0" )% "1/!*' )% (% & *&" 30?" ; ?(+" )'+!/&")" !)/"&' (<+"0/(& (%"+. L( )"'( &0"+/( $"+" +"%/1"+%" (&# . E% %*4"+ )(&)  +"%/1" %" (<+"0/>&. . L" 30?" ; ?(+" ) (<+"0/>& 0(&/)+"&)( %" ?(+" $+($(+0/(&")" $(+ % I&'/'*'( O0"&(4+9:0( ) %" A+!")" INOCAR. . E% &(!<+ ( &(!&0%"'*+" )% $*&'( 4(4+9:0( )) )(&)  %" +"%/1" $+/!+ $*&'( )% "%/&"!/&'(. . E% &(!<+ ( &(!&0%"'*+" )% $*&'( 4(4+9:0( 7*  *'/%/1" $"+" "%/&"+ % $+/!+ $*&'( 4*&)( $*&'( ( @"%. . E% /&'+*!&'( ) !)/0/>& *'/%/1")(. E'"0/>& T('"% SOKKIA S' 2. 2. L" '!$+"'*+" & % /&'"&' ) %" (<+"0/(&. . L" $+/>& "'!(3+/0" '(!")" $(+ *& <"+>!'+(, ( %" "%'*+" (<+ % &/% )% !"+, '(!")" ) *&" 0"+'" 4(4+9:0" )% IGM. . L" %"'/'*) & %" 0*"%  &0*&'+" %" '"0/>& ( ?/'(. L" 0*"% $*) + '(!")" )/+0'"!&' ) *&" 0"+'" 4(4+9:0", ( & !/!", * (<'&/)" " '+" ) %" *'/%/1"0/>& )% S/'!" ) P(/0/(&"!/&'( G%(<"%.

Coordenadas de los pntos a(iliares:

S" Z(, % $+(!)/( ) %( 9&4*%( %5)(,  ?"%%" *& "%(+ Z 0(++4/)( $(+ +3+"00/>& ; $"+"%"6, "$%/0"&)( %" /4*/&' $+/>& Z = Z > R - P . D(&) R  %" 0(++00/>& $(+ +3+"00/>& ; P  %" 0(++00/>& $(+ $"+"%"6. E'( )"'(  (<'/&& $(+ %" /&'+$(%"0/>&, <"")" & %( "%(+ ) %" '"<%" ")6*&'". D %" %/<+'" ) (<+"0/>&  '(!" % $+(!)/( ) %" ?(+". S )< (<'&+ %" ?(+" & GMT G+&/0? M+/)/"& T/!, 0(++$(&)/&' "% /&'"&' ) %" (<+"0/>&. P"+" % E0*")(+  )  ?(+" +'+"")", $(+ %( '"&'(  )< *!"+ '" ?(+" "% '/!$( %(0"%. S (<'/& 7* %" )0%/&"0/>& )% (% # 2 S*+ U"&)( '" 3>+!*%" (<'&!( % "%(+ ) U

Compro#aci$n Lineal:

O<'&/)( %( "1/!*' +)")+( ) 0")" *&( ) %( "%/&"!/&'(,  *'/%/1" '" /&3(+!"0/>& $"+" +/:0"+ %" 0((+)&")" UTM $"+" 0")" PI, !)/"&' * "++"'+ )) *& ?/'( )% IGM 0(& 0((+)&")" UTM 0(&(0/)" )"'( $+($(+0/(&")( $(+ % IGM, " *&" +3+&0/".

Replanteo del pro%ecto ,ori*ontal:

R+r&#$0:

U&" 1 +$%"&'")" ; 0(!$+(<")" %" $(%/4(&"% ) )/@(, % /4*/&' $"(  %" 0(%(0"0/>& ) +3+&0/" & %( PI. D %" !/!" 3(+!", )$* ) +$%"&'"+ %( PC ; %( PT, '"!
D/0?( $*&'(  %( $*) +$%"&'"+ !)/"&' %" '+"$(%"0/>& ( /&'+$(%"0/>& &'+ )( +3+&0/", *'/%/1"&)( *&" 0/&'" !'+/0" $"+" )"+ %" !)/)" 0(++$(&)/&'. R/1& ' #5r40 2r$3&10:

M/&'+" *& 4+*$( )% $+(&"% '($(4+9:0( ""&1" 0(& % +$%"&'( ) %( PC? PT ! PI, ('+( 4+*$( " +$%"&'"&)( %" 0*+" ?(+/1(&'"%. L" %/<+'" ) +$%"&'( ) 0*+" $(+ % ,@' &951 ' '6$%&  )/'"&0/",  ?" *")( $(+ !*0?( '/!$( ; 60*'")" & 0"!$( 0(& %" ";*)" ) *& '()(%/'( %0'+>&/0(. E& '" %/<+'" %" )/'"&0/" $"+0/"% (& "+0( ) 0/+0*&3+&0/" ; %( 9&4*%( ?(+/1(&'"% $"+0/"% &( (& ('+" 0(" 7* 9&4*%( ) )/>& $"+0/"%. E'( 9&4*%(  %( 0"%0*%" !*%'/$%/0"&)( %" %(&4/'*) ) 0")" "+0( $(+ *&" 0(&'"&' "&4*%"+ W , 7*  %" (<'/& "% )//)/+ %" !/'") )% 9&4*%( ) )3%/>& $+/&0/$"% W ) *&" 0*+" $"+" %" %(&4/'*) ) "7*%%" 0*+". ∝

S/& !<"+4(, '" %/<+'"  $(& " ++(+ 0(&/)+"<%, )& T('"% %( 0*"% &( +5" $(/<% & *& T()(%/'(, *% % +$%"&'( *& '+"<"6( !9 $+0/(, 390/% ; +9$/)(.

R/1& ' #13' ! #r&:

 T&/&)( % "<0/")( )% 6 %/'(  $+(0) " )!"+0"+ %" 0"%1")" ; %" 0(+(&" ) %" 0"++'+". L( <(+) ) 0(+(&" +9& %5&" $"+"%%" " %( <(+) %" 0"%1")" ; * +$%"&'( /4* % !/!( $+(0)/!/&'( "$%/0")( " %" 0"%1")". E' $+(0(  )'"%%" !/&*0/("!&' ) $+/&0/$/( " :&, $"+'/&)( )) %" *& ) %" 5" ?"'" % '+"1")( ; +$%"&'( ?(+/1(&'"% )% $+(;0'(.

DATOS EN GABINETE -ETD DE LAS DE/LE0I1ES:

I

V'

 

2 km

PI

 P  2 

+

T

L#

R

P#

P

. 

. 

. 

. 

. 

. 

h

ESTACA P# = H>HKH H> H> H> H> H> HH> HH> K> K> K> K> K> K> K> K>

CUERDA

.2              

DEFLEION PARCIALES ACUMULADOS -

. . . . . . . . . . . . . . .

. 2. .2 2. . 2. 2. . 2. . . . . .2 .

.

P= K>

.

.

E++(+.

-ETD DE LAS CRDE1ADAS:

I PI   

T . 

ESTACAS

L# . 

R . 

CUERDA (,)

 ρ

P# . 

 (,)

P P, . .  

G, 2. 

ANGULO ( )

 (,)

Y (,)

∝

P#=H>HKH  H>

-

-

-

-

-

.2

.2

.2

.

H>



.2

.

.

H>



.2

.

.

H>



.2

.

.

H>



.2

.

2.

HH>



.2

.

.

HH>



2.2

.2

.

K>



.2

.2  .  .  .  22.  .2  .  .

2.

.

E . 

P,=K> H P,=K> H K>

.

K>



K>



K>



K>



K>



K>

.

P=K> 

-

2.2 

 .2 .  .2 .  2. .  . .  . .  . .  . .2  . .  . 2.  -

C$R&A GRA'ICA EN A$T#CA"! -ETD DE LAS DE/LE0I1ES:

.2

.2

.2

.2

2.

.

.

.

2.

.

2.2

.

2.

.2

.

.

.2

.

-

-

-ETD DE LAS CRDE1ADAS:

UBICACIÓN DEL LUGAR E% %*4"+ )'/&( 0(4/)(,  * "% %*4"+, ;  +4/'+> *&" '!$+"'*+" ) C ; "% !(!&'( ) +'(+&"+ " I0", 0&'+(=  +4/'+"+(& C.

LEYENDA: L0 AQ5$0  Y5# '1 R0r$ I# C&r L59r ' Pr#$#

TRABAJO EN CAMPO

•

•

•

P"+" $"+'/+ "% %*4"+ /&)/0")( $+/"!&' &( +*&/!( & %" P%"1" ) A+!" ) I0" " %" # "!= $"+'/&)(, *&" 1 +*&/)( '()( %( 4+*$(, " %" 2# "!. L*4( ) # ?+ %%4"!( "% %*4"+, % 0*"% 7*)"<" & *&" $"!$" 0"!/&( "  Y"*0", %*4"+ $+(0?(( $"+" $()+ +"%/1"+ &*'+( +$%"&'( ) 0*+". A&' ) <"6"+ )% <*, % /&4&/+( &( /&)/0> %" +$0'/" !)/)" ) 4*+/)"), )%"+. N( "0(!$"@"+5"& )( 30'/( ) %" PNP, 7* +4*"+)"+5"& &*'+" /&'4+/)") & 0"( ) 0*"%7*/+ "0'( )%/&0*&0/"%.

•

•

U&" 1 & % 0"!$( )<5"!( %4/+ &*'+( $"0/( ) '+"<"6(, )
P"+" !$1"+ " '+"<"6"+, %4/!( $+/!+( ?"0+ % “,@' ' 10 '6$&0*, & % 0*"% *"!( '()(%/'(, *& 6"%>&, '"0", 0"% ( '/1", /&0?" )  !'+( ; 0(+)%. E0(4!( &*'+( $*&'( WPI )% 0*"% % *!"!( %" T"&4&' WT $"+" $()+ (<'&+ &*'+( $*&'( WPC. L*4( '"0/(&"!( % '()(%/'( $"+" $()+ <"+++ ; &0(&'+"+ &*'+( "&4*%( WI, )% 0*"% )"!( &*'+" )/'"&0/" WT &*"!&' & )/+00/>& )% "&4*%( WI $"+" $()+ (<'&+ &*'+( $*&'( WPT. U&" 1 $*'( %( $*&'( WPI-PC ; WPI-PT 0(%(0"!( %( 0(+)% ; ?0?"!( %" 0"%.

•

L*4( ) '/1")( ; 0(%(0")( %" )/'"&0/" WT 0(& %" 0"%,  T+"%")"!( % '()(%/'( ?"0/" % P0, *&" 1 '"0/(&")( &  $*&'( !$1"!( " %+ %( 9&4*%( "0*!*%")( 0")" *&( 0(& * +$0'/" %(&4/'*) ) 0*+)"= " !)/)" 7*  +"%/1"<" %" %0'*+",  /<" '"0"&)( %( $*&'( 7* 3(+!"<"& %" 0*+", %( 0*"%  /<"& '/1"&)(, :&"%!&' &( )/!( 0*&'" 7* %"

0*+" &( %%4( " 0++"+ $(+ *& !"+4& ) 20! &'+ % P' /&/0/"% ; % P' :&"%. A% :&"%/1"+ %( '"0")( $(+ !)/( ) %( 9&4*%( "0*!*%")( $+(0)/!( "% '/1")( ) %" 0"%.

•

U&" 1 '+!/&")( % “,@' ' 10 '6$&0*, )<5"!( ) <*0"+ ('+( $"0/( "!$%/( $"+" +"%/1"+ % “,@' ' 10 #r'&'0*  '&/&)( ;" *&" $+/" /)" ) %" )/!&/(& ) &*'+( '+"1(.

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P"+" % '+"1( ) %" $+$&)/0*%"+ WY, !$%"!( *& $+(0( "$+&)/)( $+/"!&' & % 0*+( ) TOPOGRAFIA I, % 0*"% 0(&/'5" & :6"+ )( %(&4/'*) 7*/)/'"&' "% $*&'( W" )(&) $"+'/+5" % Y, ) ( $*&'(  '+"1"<" *& 0'(+ 0/+0*%"+, %( 0*"%  /&'+0'"<"& & *& $*&'( 7* "% *&/+ 0(& % $+/!+ $*&'( W", 3(+!"+5"& *&" $+$&)/0*%"+ " %" '"&4&' )(&) '9<"!( '+"<"6"&)(.

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L%4"&)( "% P! "$+(. #"!, &( )/!( 0*&'" ) 7* ;" +" )!"/")( '"+) $"+" 0(&'/&*"+ 0(& % '+"<"6(, $(+ %( 0*"% +9$/)"!&' <*0"!( *&" (%*0/>& 3"0'/<% ; :0"1 $"+" 0(!$+(<"+ % 0/++ 0(++0'( ) &*'+" 0*+". M)/!( %" )/'"&0/" &'+ % P! ; % PI, %" 0*"% ) + /4*"% "% WE 0"%0*%")(, % 0*"% &( "++(6> *& ++(+ ( )/3+&0/" ) 0!.

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CONCLUSIONES •

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S "$+0/" 7* % '+"<"6(  *% !*0?( !9 390/% ; !9 +9$/)( "% *"+ *&" E'"0/>& T('"%, & %*4"+ ) *& T()(%/'( %0'+>&/0(, )& 7* $( %" E'"0/>& T('"%. A $"+ 7* %" '0&(%(45" ?" (%*0/(&")(, %( !'()(  !"&'/&&, $(+ '" +"1>&, %" 0(!$+(<"0/>&  *&" '"$" 7* &*&0" 3* 0%*/)", '"&'( & % '+"1")( ) %( PI, 0(!( & % R$%"&'( ) '()( %( 0(!$(&&' ) %" 00/>& ) %" 0"++'+".  T+"1"+ %" %5&" 4*5" ) *&" 0"++'+"  *& '+"<"6( '&*"&' ; "4('")(+, $+( &( )/!( 0*&'" 7* '()( %( "$+&)/)( & 0%", 3"0/%/'")( $(+ % I&4. I&6"&', &( /+/> ; ";*)> & '()( &'/)( " +"%/1"+ % +$%"&'(.

RECOMENDACIONES

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