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    UNIVERSIDADE CEUMA

     ARQUITETURA E URBANISMO

    4º PERÍODO

    PROF. GUSTAVO DI PAULA

    BRUNO GONÇALVES ARAUJO – CPD:3525

    TOPOGRAFIA

    S!O LUÍS2"5

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    UNIVERSIDADE CEUMA

     ARQUITETURA E URBANISMO

    4º PERÍODO

    PROF. GUSTAVO DI PAULA

    BRUNO GONÇALVES ARAUJO – CPD:3525

    TOPOGRAFIA

    S!O LUÍS2"5

    T#$%$&'( $ )*#  $+#*)*,-$( $( P#(/*))(# G0)-$1( P$0&$ ((#*60)-( +#*),71*& +$#$(%-*,89( * ,(-$ ()*0,( %*,)-*.

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    SUMÁRIO

    1.INTRODUÇÃO............................................................................................... 4

    2.DESENVOLVIMENTO...................................................................................5

    3. 1 PLANEJAMENTO DE LEVANTAMENTOS TOPOGRÁFICOS................6

    3.2 CLASSIFICAÇÃO DE MÉTODOS.............................................................6

    3.3 ETAPAS DE UM LEVANTAMENTO..........................................................7

    3.4 TIPOS DE LEVANTAMENTOS TOPOGRÁFICOS EM FUNÇÃO DO

    GRAU DE PRECISÃO......................................................................................

    3.5 TIPOS DE LEVANTAMENTOS TOPOGRÁFICOS EM FUNÇÃO DOS

    DADOS LEVANTADOS...................................................................................

    3.6 APRESENTAÇÃO DOS MÉTODOS TRADICIONAIS...............................

    3.7 ERRO NO USO DOS E!UIPAMENTOS.................................................1"

    4. CONCLUSÃO.............................................................................................12

    5.REFER#NCIAS $I$LIOGRÁFICAS...........................................................13

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    1.INTRODUÇÃO

     A -(+(#$/$ -* +(# /,$&$* *-*#,$# ( (,-(#,( *,)9( *

    +()89( #*&$-1$ * 0$ +(#89( &-$$ $ )0+*#/7* -*##*)-#* )* &*1$# *

    (,-$ $ 0#1$-0#$ #*)0&-$,-* $ *)/*#$* -*##*)-#* ;ESPARTEL ".

    O) ?-(() 0)$() +$#$ (&'*# () $() ,**))@#() +$#$ ( **0-$# 

    $ +&$,-$ ? '$$( * -(+(*-#$ 60* )* 1* * +&$,*-#$ * $&-*-#$.

     A +&$,*-#$ ? $ #*+#*)*,-$89( * +#(*89( '(#(,-$& () *-$&'*)

    *)-*,-*) ,$ )0+*#/7* $ $&-*-#$ *-*#,$ $) (-$) (0 )-,$)

    1*#-$) * 0 *#-( ,*#( * +(,-() #*/*#() $( +&$,( '(#(,-$& *

    +#(*89( ;ESPARTEL ".

     A +(#-,$ $ T(+(#$/$ +$#$ $ $#60-*-0#$ ? #*-$ * ,**))@#$.

     A( )* +#(*-$# 60$&60*# (%#$ ? ,**))@#( ( +#?1( &*1$,-$*,-( -(+(#@/(

    ( &0$# (,* $ *)$ *1*#$ )*# +&$,-$$ $7 $ +(#-,$ $

    -(+(#$/$ 60* )* *,$##*$ ( &*1$,-$*,-( (0 *89( 60* *1*#@ )*# 

    +#*)( * $$+-$( $( -*##*,(.

    N$ -(+(#$/$ '@ 0$ )?#* *-*,)$ * $-*#$) * )* ,9( '(01*# 

    0$() *)+*7/() (( 0 %( $,0)*( *)-*) $0*,-$)* $ '$,*

    * -*# 0 #$,* ,*#( * *##(). E##() *))*) 60* +(* )*# * 60$&$*:

    S)-*@-( #())*#( (0 $*,-$&. E)-* +#(%&*$ +&$ * 0$ $(# 

    +#*(0+$89( +(# +$#-* ( +#(/))(,$& * $ (,)*60H,$ (%)*#1$$ ? $

    $+&$89( * +&$,*$*,-() *&$%(#$().

    )(*,-* ( *-$+$) * +&$,*$*,-( **089( * $,@&)* *

    $() 60* '(* +(*)* 1*# -#$%$&'() * $+( ( +(,-() ( -*##*,(

    */,() +*&$ *89( * ,0&() * $&,'$*,-() 60* +$))$ $(,)--07#* () *&**,-() %@)() +$#$ $ #*+#*)*,-$89( *(?-#$ $ @#*$.

    N( *)#-#( )9( /*-() () @&0&() ,**))@#() () $() ;,0&() *

    )-,$)> ,0*#$*,-* *-*#,$() ,( $+( **0-$)* ( *)*,'(

    * +$+*& #*+#*)*,-$,( $ +#(*89( '(#(,-$& $ @#*$ &*1$,-$$.

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    2. DESENVOLVIMENTO

    U$ $) $(#*) @#*$) * $-0$89( $ -(+(#$/$ )9( ()

    &*1$,-$*,-() -(+(#@/() 60* (,))-* * -(( ( -#$%$&'( * $+( *

    $%,*-* 60* +*#-* $ #*(&'$ * -#$-$*,-( $ ,/(#$89( ,**))@#$ K

    +#(089( * 0$ +&$,-$ (0 $#-$ #*+#*)*,-$-1$ ( -*##*,( * *)-0(.

    E)-* () #$,*) ?-(() #*(,'*() +$#$ $ #*$&$89( ()

    &*1$,-$*,-() -(+(#@/() $$ 0 () 60$) #*(,$() +$#$ /*#*,-*)

    )-0$8*):

     – ( ?-(( &@))( 60* (,))-* ,$ #*(&'$ $ ,/(#$89(

    #*-$*,-* ,( -*##*,( $ +$#-# * ,)-#0*,-() )+&*) * *89( (( ?

    ( $)( () -*((&-() *)-$8*) -(-$) * ,71*) +-(). E)-* ?-(( +*&(

    %$( 0)-( 60* #*+#*)*,-$ $) +*&$ $(# (#()$* ,$ #*(&'$ $

    ,/(#$89( *)-@ $) ,$( +$#$ -#$%$&'() * *)$&$ *&*1$$ #*&$-1() $

    +*60*,$) )0+*#/7*) -*##-(#$).

     – ( ?-(( /(-(#$?-#( (,* ( #())( $ ,/(#$89( ? #*(&'(

    $-#$1?) $ $,@&)* * /(-(#$$) ( -*##*,( (%-() $-#$1?) * /(-(#$/$

    $?#*$ (0 * $*,) *,1$$) +(# )$-?&-*) $#-/$). E)-* ?-(( ?

    ,(#$&*,-* 0-&$( * &*1$,-$*,-() * )0+*#/7*) $) *-*,)$) *

    *)$&$) ,/*#(#*) $$ $ /0&$* * (%-*# ,/(#$89( ,0()$ *

    -$%? +(#60* () 0)-() /() )9( $(#*) ( 60* () ( ?-(( $,-*#(#.

    O) &*1$,-$*,-() -(+(#@/() +(* )*# */*-0$() ( (0 )*

    &$89( K #** *(?)$ ,$(,$&. A R** G*(?)$ N$(,$& ? $ ,/#$*)-#0-0#$ %@)$ (,* )* $+($

    -($ $ $#-(#$/$ ( P$7) +*#-,( #*/*#*,$# *(#$/$*,-* 60$&60*# 

    +#(*-(. (+()-$ +(# 0 (,0,-( * 1?#-*) *(?)() $-*#$&$()

    +(# ),$) *)-@1*) * 1)71*) ( ((#*,$$) (,'*$) 0$

    *-*#,$89( +*#-*,* K G*(*)$. T#$-$)* * 0$ #** (+&*$ 1$

    * /*#*,-*) (#*,) ;+#*#$ )*0,$ * -*#*#$> )*,( $ * -*#*#$

    (#* +(# )*# $ $) *,)$ $ $) 0-&$$ * T(+(#$/$.

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     A +(#-,$ * &$# () &*1$,-$*,-() -(+(#@/() K #** *(?)$

    ,$(,$& #*)* ,( /$-( * 60* * $)( )*$ ,**))@#( )* +(*# +#(**#

    +()-*#(#*,-* $ $&-*#$8*) () *)() )* /0&$*) * $(# 0$

    1* 60* () $#() *(?)() )9( #*/*#H,$) /$) * ,9( )0)*+-71*) *

    *)$+$#**#.

    3. 1 PLANEJAMENTO DE LEVANTAMENTOS TOPOGRÁFICOS

    (* * $ -*() $( ,())( )+(# 0 ,*#( 1$#$( *

    *60+$*,-() ( () 60$) +(* )*# /*-( 0 &*1$,-$*,-( -(+(#@/(

    *+*,*,( (%1$*,-* ( #(# * ( +#$( *(). E)-*) $)+*-()

    +(* (,(,$# $)( -*,'$() 1@#() #*0#)() $( )+(# 0$ %($ (0

    @ *)9( $( ,71*& ( +&$,*$*,-(.

    C(( (+(,*,-*) +#,+$) ( +&$,*$*,-( * &*1$,-$*,-()

    -(+(#@/() +(*() (,)*#$# $) )*0,-*): #(# -?,( /$-(# 

    *(,( +#$( * **089( * #*0#)(). S* 60*#*# )-,0# * -*#()

    * +(#-,$ 60$&60*# *)-*) (+(,*,-*) * +&$,*$*,-( -(#,$)*

    +*#$-1( *,(,-#$# 0 (+#())( *,-#* *&$) +(# /(#$ $ (%-*#)* 0$

    )(&089( 60* $#$,-$ $ 60$&$* $ %$( 0)-(. U &*1$,-$*,-( -(+(#@/(

    ? 0 (,0,-( * (+*#$8*) ( $ /,$&$* * *-*#,$# $ +()89(

    #*&$-1$ * +(,-() ,$ )0+*#/7* -*##*)-#*.

     A) *-*#,$8*) 9()* +(# *( * *8*) &,*$#*) * $,0&$#*)

    &$,( () +(,-() *)#-(#*) () (%*-() $ )*#* #*+#*)*,-$() (

    +()-*#(# +#(*))$*,-( * (*&( $-*@-( $*60$(.

    P$#-,()* ( (,*-( * 60* T(+(#$/$ ? 0 $)( +$#-0&$# $

    G*(*)$ +(*)* $/#$# 60* () ?-(() +&$,?-#() ( /,) *&*1$,-$*,-( +&$,-$89( (0 +()(,$*,-( *1* )*# *,$#$()

    )0$#$*,-* (( $+&$8*) $ *(*-#$ +&$,$.

    3.2 CLASSIFICAÇÃO DE MÉTODOS

    Q0$,( /$&$)* )(%#* ?-(() +(*)* &$))/@&() * () #0+()

    )-,-(): E,1(&1* () ?-(() 0$ )(&089( )* 1*#/$ +(# *( * 0$

    -#$,)/(#$89( * ((#*,$$) +(&$#*) * $#-*)$,$): I##$$89(

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    P(&(,$&.

    E,1(&1* () ?-(() %$)*$() ,$ )(&089( * -#,0&():

    I,-*#)*89( D#*-$

    I,-*#)*89( I,1*#)$

    T#$,0&$89(

    O) +#,+$) ?-(() 0-&$() )9(: -#$,0&$89( * ?-(( $

    +(&(,$& +$#$ $ +&$,*-#$ * ,1*&$*,-( *(?-#( +$#$ $ $&-*-#$.

    3.3 ETAPAS DE UM LEVANTAMENTO

    3.3." P&$,*$*,-(

    E)-$%*&**,-( * *)+*/$8*) * +#*)9( * (,-#(&*

    A,@&)* )(%#* (0*,-() $#-(#@/() +#**)-*,-*)

    V)-$ +#*&,$# * ,)+*89(

    S*&*89( * ?-(() * ,)-#0*,-()

    S*&*89( () ?-(() * @&0&( ;(+*,)$8*)>

    S*&*89( $ /(#$ * #*+#*)*,-$89( * $+#*)*,-$89(.

    3.3.2 E*089(

    I+&$,-$89( () +(,-() ,**))@#()

    M*8*) * $+( ( #*)-#( $) (%)*#1$8*)

    P(*#@ *1*,-0$&*,-* '$1*# $$+-$8*) ( +#(*-( * /0,89( *+$#-0&$#$*) ,9( *-*-$$) ,$ /$)* * +&$,*$*,-(.

    3.3.3 C@&0&()C(,&0)*)R*&$-#()

    E*089( /,$& () @&0&() * +#*+$#$89( () $() +$#$ *)*,'(

    R*$89( * #*&$-#( *)#*1*,( -(() () +$))() )*0() ,( +#(*-(

    %* (( #*)0&-$() (%-().

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    3.4 TIPOS DE LEVANTAMENTOS TOPOGRÁFICOS EM FUNÇÃO DO

    GRAU DE PRECISÃO

    E+*-( #@+( +(0( +#*)( ) 0-&$,( -#*,$ * %))(&$*89( ) * )-,$) (0 * )-,$) * -(() () $0-*) (0

    #0().• R*0&$# $(# +#*)9( ,( 7,( ( -#*,$ * -*((&-( *89( *

    )-,$) * ,0&() ;( +#*#( * (#*,-$89( * () *$)

    (,(?-#()>.• P#*)9( &*1$,-$*,-() -(+(#@/() +$#$ /,) *)+*$) ( $)

    *H,$) 60$,-( $() *60+$*,-() * +#(**,-() 0-&$().

    3.5 TIPOS DE LEVANTAMENTOS TOPOGRÁFICOS EM FUNÇÃO DOS

    DADOS LEVANTADOS

    • P&$,?-#(): /(#$ * *,)*) +&$,$)•  A&-?-#(): #*&*1(• P&$,$&-?-#(): /(#$ * *,)*) +&$,$) * #*&*1( * 0 *)(

    &*1$,-$*,-(.

    3.6 APRESENTAÇÃO DOS MÉTODOS TRADICIONAIS

    3.=." M?-(( $ P(&(,$& F*'$$ – ?-(( +#,+$& *

    &*1$,-$*,-( +&$,?-#( #*0&$# 

    U)$ (( *)-#0-0#$ * $+(( 0$ +(&(,$& /*'$$. A +$#-# ()

    1?#-*) $ +(&(,$& **)* () ,0&() ,-*#,() * $) )-,$) ()

    $&,'$*,-(). P(* )*# 0)$( ,$ -(+(#$/$ #*0&$# ;( -*((&-( * -#*,$ ,(

    7,( * +#(*))$*,-( $,$&7-( () $() ( $0)-$*,-( () *##() *

    *89(> (( -$%? ,$ -(+(#$/$ *+*-$ ;%))(&$ * -#*,$ *

    +#(*))$*,-( #@/( () $()>.

    E))* ?-(( +*#-* $ $1$&$89( * (##*89( () *##() $,0&$#*) *

    &,*$#*) (*-() ,$) *8*) * $+(. E &*1$,-$*,-() #*0&$#*)

    *))*) *##() *1* )*# -#$-$() * /(#$ $,$&7-$.

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    3.=.2 M?-(() )*0,@#() +$#$ &*1$,-$*,-() +&$,?-#() –

    0-&$)* $))($( $( ?-(( +#,+$&.

    N( $)( * *)-$# 0-&$,( -*((&-( ( ?-(( )*0,@#( $)

    0-&$( ? ( ?-(( $ ##$$89( ;(0 ((#*,$$ +(&$#>. A +$#-# * 0⇒

    +(,-( * 0$ #*89( ;A> (0 0$ %$)* (,'*$ ;> *-*#,$)* $ +()89(

    * 0 +(,-( *,( 0 ,0&( * 0$ )-,$.

    P$#$ ) 0)$# -#*,$ ( ?-(( $ 0)-$+()89( * -#,0&() ? 0 ()

    ,$() D*-*#,$)* $ +()89( * 0 +(,-( *,( $) 0$)⇒

    )-,$) *,-#* *))* +(,-( * $) *-#*$*) * 0$ %$)* (,'*$ ;>.

    3.=.3 N1*&$*,-( G*(?-#( – ?-(( +#,+$& * &*1$,-$*,-(

    $&-?-#(.

     A&-*-#$  ? $ +$#-* $ -(+(#$/$ 60* -* +(# (%*-1( $ *-*#,$89(

    $) $&-0#$) () +(,-() ( -*##*,( * #*&$89( $ 0$ )0+*#/7* '(#(,-$& *

    #*/*#H,$.

    O N1*&$*,-( G*(?-#( ;)+&*) (0 (+()-(> ? ( +#,+$& * $)

    +#*)( ?-(( * &*1$,-$*,-( $&-?-#( +() +*#-* ( $0)-$*,-( ()

    *##(). U-&$)* * 0 ,71*& * #$ +$#$ $ *-*#,$89( $) $&-0#$) ()

    +(,-(). A &($&$89( () +(,-() ? /*-$ +#*1$*,-* $-#$1?) (

    &*1$,-$*,-( +&$,?-#(. O ?-(( ( ,1*&$*,-( *(?-#( $+#*)*,-$

    &-$8*) +$#$ 0)( * -*##*,() $*,-$().

    O ,1*&$*,-( *(?-#( * +(,-() -(+(#@/() $&-?-#() %$)*$

    )* ,$ 1)$$ '(#(,-$& $-#$1?) * 0 ,71*& * &0,*-$ )(%#* #$)

    (&($$) 1*#-$&*,-* )(%#* () +(,-(). P(* )*# 0 ,1*&$*,-(

    *(?-#( )+&*) 60$,( ) 0$ *)-$89( +*#-* 1)$# -(() () +(,-() $

    ,1*&$# (0 ,1*&$*,-( *(?-#( (+()-( 60$,( ,**))-$ $)

    *)-$8*) +$#$ &*1$,-$# -(() () +(,-() $&-?-#() * 0 &*1$,-$*,-(-(+(#@/(.

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    3.=.4 L*1$,-$*,-( T$60*(?-#( – ?-(( )*0,@#( *

    &*1$,-$*,-( -(+(#@/( 0)$( * /(#$ (+&**,-$# +#,+$&*,-*

    +$#$ *,)/$# +(,-() $&-?-#().

     A T$60*(*-#$ ? 0 ?-(( * &*1$,-$*,-( +&$,$&-?-#( ,( 60$&

    $) *8*) * )-,$) '(#(,-$) * * /*#*,8$) * ,71*& )9( #*$&$$)

    * /(#$ ,#*-$ 0-&$,()* () +#,7+() $ -#(,(*-#$. S9( 0-&$()

    * $+( ( -*((&-( * $ #$.

    N9( ? +())71*& $1$&$# () *##() (*-() ,$) *8*) * $+(

    +(# ))( ? 0 ?-(( )*0,@#( 60* 1* (+&**,-$# () ?-(()

    +#,+$). A) 1$,-$*,) *))* ?-(( ? )0$ #$+* * $$+-$%&$* $

    -*##*,() $*,-$().

    3.7 ERROS NO USO DOS E!UIPAMENTOS

    C(( ? +())71*& *# ( +*#/*89( ( *##( )* -(#,$ +$#-* *

    60$&60*# *89(. P$#$ ,$# () *##() * *89( * -(+(#$/$ *1*

    )* -($# 0$() *)+*$) 0#$,-* () &*1$,-$*,-() * $0)-$# () *##()

    ;$1$&$# * #*)-#%0#> $,-*) * 0)$# () $() &*1$,-$(). I,*+*,*,-* (

    *60+$*,-( * *89( (0 -+( * *89( *)-* )0&-$,*$*,-* 1@#()

    -+() * /(,-*) * *##():

    3.." E##() ,( 0)( $ -#*,$

    *##() ))-*@-():

    ,9( $/*#89( ( (+#*,-( $ -#*,$

    *$*#$$ $-*,@#$ 1*#-$& ; -#*,$ ,9( *)-$$ > (0 '(#(,-$& ; *##(

    * $&,'$*,-( >

    ,9( 1*#-$&$* $ %$&$

    ,9( '(#(,-$&$* $ -#*,$

    1$#$89( ( (+#*,-( $ -#*,$ +*&$ -*+*#$-0#$ ;)(& 0-( /(#-*>.

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    *##() #())*#():

    *,$,( ,( ,*#( * -#*,$$) *##( ,( $0)-* ( *#( $ /-$ *,$,( ,( )*,-( $ #$0$89( $ /-$ *##( * $,(-$89(

    3..2 E##() ,( 0)( ( -*((&-(

    *##() ))-*@-():

    /$&-$ * +*#+*,0&$#$* *,-#* () 3 *() ( $+$#*&'( ;1*#-$&

    '(#(,-$& * * (&$89(>. E##( *&,$( +*&$ ?$ * 0$)

    &*-0#$) ( ,0&( 0$ ( $ &0,*-$ ,(#$& (0-#$ ( $ &0,*-$

    ,1*#-$. +*#/*89( ,$ 1)9( () 7#0&() * &*-0#$ () ,0&()

    ;&%()>. E)-* *##( ? $-*,0$(: +*&() +#(*))() * #*-*#$89( *

    #*+*-89( ; 1@#$) &*-0#$) ( *)( ,0&( '(#(,-$& 0)$,()*

    $ ?$> (0 +*&$ ?$ * &*-0#$) ( ,0&( 1*#-$& ( &0,*-$

    ,(#$& * ,1*#-$.

    *##() #())*#(): @ ,)-$&$89( ( $+$#*&'( ; /$*# (,# *( 1*#-$& ( +(,-(

    -(+(#@/( * ,1*&$# (##*-$*,-* ( $+$#*&'(> *##( * 1)$$ ;+#(0#$# 1)$# ( $) +#( ( )(&( +$#$ ,0# 

    ( *##( +#(1*,*,-* $ ,9( 1*#-$&$* $ %$&$ (0 #$> *##( * &*-0#$ * *##( * $,(-$89(.

    4.CONCLUSÃO

     A +$#-# *)-* -#$%$&'( (,&0)* 60* * #*/*#H,$ $()

    L*1$,-$*,-() T(+(#@/() $ T(+(#$/$ ? %$)*$$. P(# *( * )0$)

    /*#*,-*) /(#$) * $+&$89( (%-H)* *+() * -(( ( +&$,*$*,-(

    -$( 0$ $,@&)* * $() )-,-$). I))( ? #*/&*-( (( (*&() *

    L*1$,-$*,-() T(+(#@/() /*#*,-*).

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    P*#*%*0)* $)) 60* () L*1$,-$*,-() T(+(#@/() ,$ T(+(#$/$

    ? * +(#-,$ ),/$-1$ ? 0$ $,0$& * ,$8*) $ )*# )*0(

    +$#$ 60* ,( / * 0$ $,@&)* * @#*$ -*,'$() 0 %( #*)0&-$(.

    5. REFER#NCIAS $I$LIOGRÁFICAS

    ESPARTEL L?&). C%&'( )* T(+(,&-/-. "*. P(#-( A&*#* – RS:E-(#$ O G&(%( "

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    D)+(,71*& *:'--+:*,*(#$/$./.0&.+-(0*,-()(Z$+((Z$0&$)-(+(#$/$.+/Y A*))( * " D*. 2"5.

    C(*/(' '(:&* L*--*(' T(+(,&8/('D)+(,71*& *

    :'--+:.*)-.+%*$.+-W&*1-(+Z1&,(-*)Z-(+(".+/Y A*))(

    * 2 D*. 2"5.