PRACTICA N°2 DESPLAZAMIENTO DEBIDO AL RELIEVE DEL TERRENO (∆r) GEOMÁTICA TABLA DE CONTENIDO 1. INTRODUCCIÓN................... INTRODUCCIÓN............................... .......................... .......................... ......................... ......................... ........................ .............3 .3 2. JUSTIFICACIÓN.................... JUSTIFICACIÓN................................ ......................... ......................... .......................... .......................... ......................... .............4 4 3. OBJETIVOS...................... OBJETIVOS.................................... .......................... ........................ ......................... ......................... .......................... ..................5 ....5 4. 3.1 OBJEIVO GENERAL....................... GENERAL................................... ........................ .......................... .......................... .......................5 ...........5 5. 3.2 OBJETIVOS ESPECIFICOS................... ESPECIFICOS................................. .......................... ........................ ......................... ...............5 ..5 6. MARCO TEÓRICO................... TEÓRICO................................ .......................... ......................... ......................... ......................... ......................6 ..........6 7. METODOLOGIA................. METODOLOGIA............................. .......................... .......................... ......................... ......................... ........................ ................7 ....7 8. RESULTADOS... RESULTADOS................ ......................... .......................... .......................... ......................... ......................... ........................ ...................8 .......8 9. ANLISIS DE RESULTADOS... RESULTADOS................. .......................... ......................... ......................... ........................ ....................1! ........1! 1!.CONCLUSIONES........ 1!. CONCLUSIONES.................... ........................ .......................... .......................... ......................... ......................... ......................1 ..........11 1 11. 11. BIBLIOGRAFIA................... BIBLIOGRAFIA................................. .......................... ......................... ......................... ......................... .......................... ..............12 .12
INTRODUCCIÓN E" #$%&"'(')*$+,- #$*#- '" /$"*$0$ $% +' #$ "'% #$-/)'*-+$% $-),/*'% $ '$,'+ "' '"*#'# #$ "' *)'$+ #$ "'% -,-/''% '/$'% $%,- '$,'*+ %$ 0$ /$"$:'#' $+ "'% '+,*#'#$% +)/*'% $ %$ &$#'+ -,$+$/ #$ #*;' -,-/''. 1
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
JUSTIFICACIÓN E%,' &/?,*' $% #$ /'+ *)&-/,'+*' $+ +$%,/' -/)'*+ -)- *+$+*$/-% #$*#' $ +-% &$/)*,$ '&/$+#$/ ' ;'$/ "'% -//$*-+$% &$/,*+$+,$% ' '"*$/ -,-/'' '/$' /$%&$,- '" #$%&"'(')*$+,- /$"',*0- #$*#- '" /$"*$0$ #$ "' (-+' 2
#$ +-% &+,-% -+ /$"'*+ ' -,/-% $+ "' -,-/''. E%,$ &/-$%- $% /'+ ,*"*#'# #$+,/- #$ &/-<$,-% #$ '/?,$/ *+$+*$/*" -)- "' &"'+$'*+ 0*'" $" -/#$+')*$+,,$//*,-/*'" < "-% "$0'+,')*$+,- ,-&-/?*-% ,*"*('+#- "'% -,-/''% '/$'% &$% $%,- +-% '%$/' +' )'<-/ &/$*%*+ $+ "-% #',-% -,$+*#-% ' &'/,*/ #$ "'% -,-/''% $% #$*/ +$%,/-% #',-% %$/?+ )?% $/'+-% ' "' /$'"*#'# < &-/ ,'+,- #$ )'<-/ ,*"*#'# &/?,*'.
OBJETIVOS
OBJEIVO GENERAL 3
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C'""'/ $" #$%&"'(')*$+,- #$*#- '" /$"*$0$ #$" ,$//$+- #$ + &+,/$%&$,- ' -,/-
OBJETIVOS ESPECIFICOS I#$+,**'/ $" &+,- #$ )'<-/ < )$+-/ '",/' #$+,/- #$ "-% %$'"'#-% $+ "' F.A C'""'/ "' #*$/$+*' #$ '",/' $+,/$ #-% &+,-% C'""'/ "' #*%,'+*' $+,/$ "-% &+,-% ;-)"--% #$ "' -,-/''% •
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MARCO TEÓRICO DEFORMACIONES GEOMTRICAS DE LAS FOTOGRAFAS AREAS S-+ *)&$/$*-+$% $ '$,'+ "' '"*#'# '+,*,',*0' #$ "' *)'$+ -'%*-+'#' &-/ ',-/$% -)- $" #$%&"'(')*$+,- #$*#- '" /$"*$0$ #$" ,$//$+- $" 4
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
METODOLOGIA M',$/*'"$% ,*"*('#-% 1. E%,$/$-%-&*- #$ $%&$:-% 2. D-% -,-/''% '/$'% 5
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
RESULTADOS F-/)"'% ∆r
∆ H GR r Q Z R 6
E+ #-+#$ ∆r
E" #$%&"'(')*$+,- #$*#- '" /$"*$0$.
P+,- )?%
'",- #$ "' F.A. P+,- )?% ':- #$ "' F.A. ∆ H GR rQ
D*$/$+*' #$ '",/' $+,/$ Q < R.
D*%,'+*' #$%#$ $" &+,- &/*+*&'" ;'%,' $" &+,- )?% '",- = Q> )$#*#- -+ "'
/$"' $+ "' F.A *(*$/#'. Z R
A",/' #$ 0$"- /$%&$,- ' R.
S'*$+#- $ Z R = 3000 ,
r Q9.5 cm
.
D*%,'+*' Q´Q´´= 26.3cm, #*%,'+*' R´R´´= 26.1cm C'""')-%
∆ qr
< ∆ H GR
∆ qrQ ´ Q ´ ´ R ´ R ´ ´ ∆ qr26.3 cm26.1 cm
∆ qr0.2 cm
L$- -)- H =2 mm "' #*$/$+*' #$ '",/' $+,/$ Q < R %$/? ∆ H GR2 mm
→20m
E+,-+$% $" #$%&"'(')*$+,- #$*#- '" /$"*$0$ #$" ,$//$+- $%,? #'#' &-/ ∆r
20 m 9.5 cm 3000 m
∆ r0.06 cm
7
F-/)"'% ∆r
∆ H GR r Q Z R
E+ #-+#$ ∆r
E" #$%&"'(')*$+,- #$*#- '" /$"*$0$.
P+,- )?%
'",- #$ "' F.A. P+,- )?% ':- #$ "' F.A. ∆ H GR rQ
D*$/$+*' #$ '",/' $+,/$ Q < R.
D*%,'+*' #$%#$ $" &+,- &/*+*&'" ;'%,' $" &+,- )?% '",- = Q> )$#*#- -+ "'
/$"' $+ "' F.A *(*$/#'. Z R
A",/' #$ 0$"- /$%&$,- ' R.
S'*$+#- $ Z R = 3000 ,
r Q3.2 cm
.
D*%,'+*' Q´Q´´= 26cm, #*%,'+*' R´R´´= 26.4cm C'""')-%
∆ qr
< ∆ H GR
∆ qrQ ´ Q ´ ´ R ´ R ´ ´ ∆ qr26 cm26.4 cm ∆ qr 0.4 cm
L$- -)- H =4 mm "' #*$/$+*' #$ '",/' $+,/$ Q < R %$/? ∆ H GR 4 mm
→40m
E+,-+$% $" #$%&"'(')*$+,- #$*#- '" /$"*$0$ #$" ,$//$+- $%,? #'#' &-/ ∆r
40 m 3.2 cm 3000 m
8
∆ r0.0426 cm
ANÁLISIS DE RESULTADOS D$ "-% /$%",'#-% -,$+*#-% $+ "' &/?,*' &-#$)-% -+"*/ $ E" #$%&"'(')*$+,- #$*#- '" /$"*$0$ +- %-"- #$&$+#$ #$ "'% '",/'% #$ "-% &+,-% %*+- ,')*+ #$ "' #*%,'+*' $+,/$ $%,-% < $" &+,- &/*+*&'" #$ "' -,-/'' '/$'. E+,/$ )?% "$:-% $%,+ $%,-% &+,-% #$" &+,- &/*+*&'" )'<-/ %$/? % #$%&"'(')*$+,E" #$%&"'(')*$+,- #$*#- '" /$"*$0$ $% *+0$/%')$+,$ &/-&-/*-+'" ' "' '",/' #$ 0$"- $% #$*/ ' )'<-/ '",/' )$+-/ #$%&"'(')*$+,-. E+,-+$% %* $/$)-% #*%)*+*/ $%,$ $+)$+- $+ "' -,-/'' #$$)-% ')$+,'/ "' '",/' #$ 0$"-
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BIBLIOGRAFIA R-' M J'*)$ I+'*-. =1976> &/*+*&*-% #$ -,-/')$,/'. B--,?. D$ A-%,*+* D'+*$". =1978>. I+,/-#*+ ' "' -,-/')$,/'. B--,?.
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