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UNIVERSIDADE FEDERAL DE SANTA CATARINACENTRO TECNOLGICO

DEPARTAMENTO DE ENGENHARIA SANITRIA E AMBIENTAL

BRUNO ERICK FUCHS

DESENVOLVIMENTO DE UM SISTEMA DE CLCULO

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CENTRO TECNOLGICO

DEPARTAMENTO DE ENGENHARIA SANITRIA E AMBIENTAL

BRUNO ERICK FUCHS

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1& Metd,gia

A /$#%r'() & #4%Jar" #" ba#"' $ /$/",% &" &,a+ra*a'$,4,lar? #"$& '" #" '%,l,' &a !la%a4r*a CAD !ara 4a/,l,%ar a/$#%r'() +r-4,/a & &,a+ra*a '$,4,lar " &" !la$,lha# "l"%r$,/a# !arar"al,ar # /-l/'l# " a'%*a("# $"/"##-r,a# A !la$,lha "l"%r$,/a 4,"#/lh,&a !ara a r"al,a() & #4%Jar"? !,# a *"#*a &" 4-/,l'%,l,a() " $) r"'"r /$/",%# !r4'$ &" !r+ra*a()

O'%r !a## 4'$&a*"$%al $a /$#%r'() & #4%Jar" 4, a$al,#ar'a,# "%a!a# & !r"% &" *,/r&r"$a+"* #"r,a* a'%*a%,a C*"##a a$-l,#" &"4,$,'#" '" a /$#%r'() & &,a+ra*a '$,4,lar "* CAD "

$ E9/"l #"r,a 4",%a !"l '#'-r,? !r* /* '*a ,$%"r4a/" '"4a/,l,%ar,a a /$#%r'() *"#*# D"!,# 4, &"%"r*,$a& '" $a"%a!a &" /-l/'l #4%Jar" *$%ar,a # %r"/h# /* l/a,# ,$&,/a!ara ,$#"r() &" &a? # 'a,# &"."r,a* #"r ,$#"r, !"l '#'-r,D"!,# &a ,$#"r,? #4%Jar" 4ar,a # /-l/'l# " +"rar,a #r"#'l%a !ara '" !#%"r,r*"$%" '#'-r, !##a a$al,#-l# " al%"r-l# &" a/r& /* #'a $"/"##,&a&" A 4,$al & !r/"##? &"4,$,'#" '"a !la$,lha *$%ar,a '*a %ab"la &" !ar*"%r# /$#%r'%,.#a'%*a%,/a*"$%" /* # r"#'l%a !r".,a*"$%" /al/'la O r"#'l%a&

4,$al &a a$-l,#" &" r"#!$#ab,l,&a&" "$%r" '#'-r, " #4%Jar" !&" #"rb#"r.a& $a 4,+'ra 10 aba,93

F,+'ra 10 : D"4,$,() &a# 4'$("# U#'-r,S4%Jar"

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A 4r*a &" /$#%r'() &a !la$,lha a'%*a%,a&a #" ba#"' !"lar"!"%,() &a #"+',$%" r%,$a &" %rabalh3

F,+'ra 11 : R%,$a &" %rabalh !ara /$#%r'() &a Pla$,lhaA'%*a%,a&a

Na '"#%) &a /$#%r'() &" '*a "%a!a &a !la$,lha a'%*a%,a&a?%"$%a.a#" ,$%r&',r al+'*a !ar%" & !r/"## &" /-l/'l & !r"% &"*,/r&r"$a+"*? .,#% $a 4,+'ra W? &"$%r &a *"#*a N"#%a "%a!a b"%,. 4, /r,ar *-9,* &" a'%*a() !##."l $a !la$,lha?!"r*,%,$& %a*b* *-9,* &" ,$%"r4"r5$/,a & '#'-r, $a "$%ra&a &"&a " $a a$-l,#" &" r"#'l%a

Na '"#%) %"#%"#? #" ,$%r&',a !r"%# &" *,/r&r"$a+"*/* # /-l/'l# - r"al,a " r".,#a? b'#/a$& &"##a 4r*a '" a

!la$,lha a'%*a%,a&a al/a$(a#" # *"#*# r"#'l%a a$%"r,r*"$%"b%, N"#%a "%a!a %"$%'#" ,$%r&',r a *a,r 'a$%,&a&" &" !r"%#&,."r##? a 4,* &" "$/$%rar %&a# a# !##.",# 4alha# &" !r+ra*a() '&" ,$%"r4a/"

Na '"#%) a'#%"#? % # "rr# " 4alha# &"#/b"r%# $a#"%a!a# a$%"r,r"# "ra* !r,*",ra*"$%" "#%'&a %"r,/a*"$%"? b'#/a$&a *"lhr #l'() !ara "l"#? #"*!r" /* a !r"/'!a() &" $) /r,ar$.a# 4alha# !ara !#%"r,r*"$%" ,$%r&',r a# *'&a$(a# $a !la$,lha

D"##a 4r*a? $"#%a "%a!a /$#"r%a.a*#" % # "rr# " r"al,a.a*#"!"'"$# %"#%"#? a 4,* &" /$4,r*ar a #l'() !rbl"*a# N /a#&a /$#%a%a() &a $) r"#l'() & !rbl"*a? /,/l a$%"r,r*"$%"/,%a& #" r"!"%,a? a% a /*!l"%a #l'() & !rbl"*a

Na /$#%r'() &a !la$,lha a'%*a%,a&a 4ra* '%,l,a al+'$#&,4"r"$%"# %,!# &" /l'la#3

/l'la# !ara ,$#"r() &" &aZ /l'la# &" a!r"#"$%a() &" r"#'l%a !ar/,a,#? a# 'a,# $) !&"* #"r

*&,4,/a&a#Z /l'la# &" a!r"#"$%a() &" r"#'l%a !ar/,a,#? a# 'a,# &"."* #"r

a$al,#a&a# !"l '#'-r, " !&"* #"r *&,4,/a&a#Z "

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/l'la# &" ,$4r*a()? a# 'a,# a!r"#"$%a* a# '%ra# /l'la# /*,$4r*a("# b-#,/a#

A !la$,lha !##', %ra.a*"$% "* %&a# a# /l'la#? "9/"%'a$"

#*"$%" a# /l'la# /* ,$#"r() &" &a " a# /l'la# '" &"."* #"ra$al,#a&a# " !&"* #"r *&,4,/a&a#Na /$#%r'() &a !la$,lha a'%*a%,a&a 4ra* '%,l,a al+'$#

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/*'$,/ar#" "4"%,.a*"$%" /* '#'-r,? %"$%a$& *#%rar a /a&a "%a!a '" "#%- #"$& r"al,a& " '" &"." #"r 4",% Para ,##? a !la$,lha 4,

4",%a /* '* + &" /r"# " /* ,$4r*a("# ,$.,#.",#? a# 'a,# #a!ar"/"* 'a$& #) $"/"##-r,a# Para "#%" Xl%,* r"/'r# '%,l,'#" &a4r*a%a() /$&,/,$al Al* &,##? "9,#%"* ,$4r*a("# &,#!#%a#/$."$,"$%"*"$%" !r %&a a !la$,lha? %"$%a$& ,$&,/ar #!r/"&,*"$%# '" &"."* #"r r"al,a

2& Re!",tad!

2&%& Cn!tr"tr de Diagrama Uni/i,ar

Para /$#%r',r 'al'"r &,a+ra*a '$,4,lar a 4,* &" #"r '%,l,a& $a!la$,lha & UFSC Urba$ Dra,$a+" 10? !&"#" '%,l,ar & C$#%r'%r &"D,a+ra*a U$,4,lar "* !la%a4r*a CAD E#%" /$#%r'%r 4,&"#"$.l.,& /* % # "l"*"$%# a/",%# !"la !la$,lha a'%*a%,a&a" /* % # "l"*"$%# $"/"##-r,# !ara /$#%r'() & &,a+ra*a'$,4,lar? 4a% .,#% $a 4,+'ra 12 aba,93

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F,+'ra 12 : El"*"$%# !ara /$#%r'() & D,a+ra*a U$,4,lar "*!la%a4r*a CAD

Para a /$#%r'() & &,a+ra*a '$,4,lar $ C$#%r'%r &"D,a+ra*a U$,4,lar "9,#%" '*a *alha 4,9a /* l,$ha# " /l'$a#

$'*"ra&a#? .,#% $a 4,+'ra 1 aba,9 D"$%r &"##a *alha &"."* #"r'%,l,a # "l"*"$%# a!r"#"$%a a$%"r,r*"$%" a 4,* &" *$%ar &,a+ra*a '$,4,lar

F,+'ra 1 : Malha /* l,$ha# " /l'$a# $'*"ra&a# !ara /$#%r'() &D,a+ra*a U$,4,lar "* !la%a4r*a CAD

E##" &,a+ra*a /$#%r'& "* !la%a4r*a CAD $) #"r-/*!r""$&,& !"la !la$,lha a'%*a%,a&a? #"$& #*"$%" '* 4a/,l,%a&r

!ara /$#%r'() +r-4,/a & *"#* O# !r/"&,*"$%# !ara '" a!la$,lha a'%*a%,a&a "$%"$&a &,a+ra*a '$,4,lar #"r) "9!l,/a!#%"r,r*"$%"

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2&)& Man"a, d U>SC Ur#an Drainage %&F

UFSC Urba$ Dra,$a+" 10 %"* a 4'$() 4a/,l,%ar a "labra() &"Pr"%# &" M,/r&r"$a+"*? a'9,l,a$& &"#&" a /$#%r'() & D,a+ra*aU$,4,lar? !a##a$& !r %&a# a# "%a!a# &" C-l/'l " D,*"$#,$a*"$%a% a /$#%r'() &a Pla$,lha F,$al /* Par*"%r# &" C$#%r'%,.#

O UFSC Urba$ Dra,$a+" 10 !&" #"r '%,l,a& %a$% !ara 4,$#&,&-%,/# 'a$% !ara 4,$# !r-%,/#

2&0& In/rma'e! Gerai!

2&0&%& Cm-ati#i,idade

M,/r#4% E9/"l 200 : U%,l,a() & UFSC Urba$ Dra,$a+" 10Pla%a4r*a CAD : Cr,a() & D,a+ra*a U$,4,larM,/r#4% r& W200 ' #'!"r,r : V,#'al,a() & Ma$'al

2&0&)& Recmenda'e! de "!

O# !r"%# "* '" #4%Jar" r"/*"$&a& !ara '# #)a'"l"# '"3

'%,l,a* a!"$a# #ar"%a# " +al"r,a#Z &,a+ra*a '$,4,lar abra$+" %&a -r"a &" !r"%

2&0&0& Limita'e!Re!tri'e! de U!

N"#%a# #,%'a("# #4%Jar" $) "#%- a!% a #"r '%,l,a&3 l/al,&a&"# #"* "'a() &" /h'.a# ,$%"$#a#Z !r"%# '" $"/"##,%"* '%r# "l"*"$%# al* &" #ar"%a# "

+al"r,a#Z &,a+ra*a '$,4,lar &"? $ *-9,*? 1 l,$ha# !r 1 /l'$a#

=!&"$& #"r "9!a$&,& !"l a'%r? #" $"/"##-r,>

2&0&1& Recmenda'e! Gerai!

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a> UFSC Urba$ Dra,$a+" 10 &"."r- #"r '#a& !r '#'-r,# /*b$# /$h"/,*"$%# "* Dr"$a+"* Urba$a? !ara a /rr"%a /*!r""$#)+lbal & !r+ra*a

b> Para a !la$,lha $) !"r&"r a 4'$/,$al,&a&"? r"/*"$&-."l#al.-la !ara /a&a $. !r"% /* #"' !r!r, $*"? !r"#"r.a$&a##,* &/'*"$% r,+,$al

/> Ca&a ra* & D,a+ra*a U$,4,lar &"." %"r #'a !r!r,a !la$,lha?&"##a 4r*a !ara /a&a ra* & D,a+ra*a '$,4,lar &"."##" r"!"%,r a "%a!ab> a/,*a /,%a&a

&> Para /rr"% 4'$/,$a*"$% &a Pla$,lha UFSC Urba$Dra,$a+" 10 hab,l,%" /$%"X& &a *"#*a Para hab,l,%a() &/$%"X& #,+a /a*,$h3

F,+'ra 1 : Hab,l,%a$& Ma/r

2&0&2& A#a! da P,ani,5a A"tmati=ada

A# aba# #) "$/$%ra&a# $a !ar%" ,$4"r,r &a !la$,lha E9,#%"* 0=/,$/> aba# /* &,4"r"$%"# 4'$("#? /,%a&a# aba,93

1 Diagrama Uni/i,ar3 "#%a aba &"." #"r '%,l,a&a !ara ,$#"r,r &,a+ra*a '$,4,lar /$#%r'& $ /$#%r'%r &" &,a+ra*a '$,4,lar

P#%"r,r*"$%" '%,l,a#" "#%a aba !ara /$#%r',r &,a+ra*a'$,4,lar "* !la$,lha E9/"l? a 4,* '" a r%,$a &" !r+ra*a()

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,&"$%,4,'"? 4a% '" #"r- "9!l,/a& *a,# &"%alha&a*"$%" $a#!-+,$a# a #"+',r? $ ,%"* 22

2 P,ani,5a de C$,c",!3 /r"br & #4%Jar" E#%a aba

l/al $&" % # &a &"."* #"r ,$#"r, " $&" #r"#'l%a #) *#%ra !ara #"r"* a$al,#a !"l '#'-r, Gr$/ic >&R3 #) *#%ra # +r-4,/# &" 4a%r &" r"&'() &a

#ar"%a E#%a aba '%,l,a&a #*"$%" !ara 4,$# &" /$#'l%a Re!",tad!3 "#%a aba a #$%"#" r"#'l%a 4,$a,#? $"la

*#%ra&a '*a %ab"la /* # !ar*"%r# /$#%r'%,.# &"!r"%

S#re3 $"#%a aba "9,#%"* ,$4r*a("# #br" a'%r "r,"$%a&r & r"4"r,& !r"%

F,+'ra 1 : Aba# & #4%Jar"

2&1& O-era'( d !/tHare

2&1&%& De!cri'( d diagrama "ni/i,ar

A !la%a4r*a UFSC Urba$ Dra,$a+" 4'$/,$a /* ba#" $a"#%r'%'ra & &,a+ra*a '$,4,lar? #"$& "#%" c/r"brd & #4%Jar"T"$& "#%a ,*!r%$/,a? &,a+ra*a '$,4,lar &"." #"+',r al+'$# !r"/",%#b-#,/#3

N# &" *$%a$%" !ara '#a$%" =$ #4%Jar" "#'"r&a !ara &,r",%a>Z

O# $# $) !&"* #" #br"!rZ

C$"9"# #*"$%" a ' 0O "9"*!l aba,9 *#%ra !ar%" &" '* &,a+ra*a '$,4,lar?

#"+',$& # !r"/",%# a/,*a

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F,+'ra 1Q : L,+a() "$%r" $#

2&1&%&%& Ti-! de NSC Ur#an Drainage

N I$,/,al =,>3 $) r"/"b" /$%r,b',() &" $"$h'* $

F,+'ra 1 : N ,$,/,al

N Pa##a+"* =!>3 r"/"b" /$%r,b',("# &" *$%a$%" " !##',l,+a("# /* '%r# $# a '#a$%"

F,+'ra 1 : N &" !a##a+"*

N C$%,$'a() =/>3 %,! &" $ "9/l'#,. & !r+ra*a? a!"$a#/!,a a# ,$4r*a("# ,$#"r,&a# " /al/'la&a# & $ a$%"r,r El" '%,l,a& !ara al$+ar '* %r"/h & &,a+ra*a '$,4,lar? !##,b,l,%a$&a##,* a /$#%r'() &" 'al'"r &,a+ra*a '$,4,lar #"* '" haa#br"!#,() &" $#? "#%a$& a##,* &" a/r& /* # !r"/",%# b-#,/#

E#%" $ # a/",%a ,$4r*a("# & $ a *$%a$%" " a 0 ? /*"9"*!l,4,/a& $a# 4,+'ra# 1W " 20 aba,9

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37/79

F,+'ra 1W : N &" /$%,$'a()

F,+'ra 20 : N &" /$%,$'a()

N D"#/ar+a =&>3 ^ Xl%,* !$% & &,a+ra*a '$,4,lar? 'alr"/"b" %&a# a# /$%r,b',("# $# a *$%a$%"

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F,+'ra 21 : N &" &"#/ar+a

O "9"*!l aba,9 &"*$#%ra % # $# /,%a a/,*a $'*&,a+ra*a '$,4,lar? #"+',$& # !r"/",%# b-#,/# & &,a+ra*a '$,4,lar

F,+'ra 22 : E9"*!l /* % # %,!# &" $#

2&1&%&)& Cnee!

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38


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r"/"b" /$%r,b',("#? &"#%" *& $) !##', /$"9"# a *$%a$%"?#*"$%" a '#a$%"

e- a "9/"() $ &" /$%,$'a()? 'al '* ar%,4/, '#a&

!"l !r+ra*a !ara al$+ar '* %r"/h & &,a+ra*a '$,4,lar? !"r*,%,$&'" 'al'"r &,a+ra*a '$,4,lar #"a /$#%r'& $a !la$,lha O $/$%,$'a() #*"$%" r"/"b" a# ,$4r*a("# & $ a *$%a$%" a 0

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4,+'ra 2 aba,9? $a 'al "#%) a##,$ala # $# '" /$%r,b'"* !ara $ 1 " !r $&" '" "##a# ,$4r*a("# "#%) 4l',$&? #"$& ,$&,/a&a%ra.# &" 4l"/ha#

F,+'ra 2 : R"/r%" &" &,a+ra*a '$,4,lar

2&1&)& De!cri'( d diagrama "ni/i,ar a,terad -ara "! n!/tHare

2&1&)&%& E-,ica'( da! a,tera'e!

O &,a+ra*a '$,4,lar !ara #"r ,$#"r,& " /*!r""$&,& !"l

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,$%"rl,+a("# "$%r" # $# " #"'# r"#!"/%,.# %r"/h# A *alha "#%-"9"*!l,4,/a&a aba,93

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C* "##a *"%&l+,a /a&a $ !##', '* "$&"r"(? !r "9"*!l? $ &" !a##a+"* 10 "$/$%ra#" $a l,$ha /l'$a 2 e- $ &"&"#/ar+a 1 "$/$%ra#" $a l,$ha /l'$a 10 V"*# '" $ ,$,/,al

"$/$%ra#" $a l,$ha /l'$a 1? a##,* /* $a l,$ha /l'$a 1? 4a%!"r4",%a*"$%" $r*al $a /$#%r'() &" '* &,a+ra*a '$,4,lar

O '" #" '"r &"*$#%rar a', '" &,a+ra*a '$,4,lar /$#%r'& "* '*a *alha 4,9a /* l,$ha# " /l'$a# $'*"ra&a#?#"+',$& al+'$# !r"/",%# b-#,/# D"##a 4r*a? /a&a $ !##',r- '*"$&"r"( $ &,a+ra*a '$,4,lar

2&1&)&)& Diagrama Uni/i,ar n Ece,

C* &,a+ra*a '$,4,lar /r,a&? &"."#" ,$#"r,l $ E9/"l? $&" #4%Jar" a'%*a%,/a*"$%" ,&"$%,4,/ar- # %r"/h# '" &"."* #"r/r,a !ara a# "%a!a# !#%"r,r"# &" &,*"$#,$a*"$%

Como funciona?

N E9/"l "9,#%" '*a r"&" /* l,$ha# " /l'$a# $'*"ra&a# Ca&a

"$&"r"( =l,$ha 1 /l'$a 1Z l,$ha /l'$a ? "%/> !##',r- %r5# "#!a(#?'" &"."* #"r /*!l"%# /*3

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a> T,! &" N3 I$,/,al =,>? Pa##a+"* =!>? C$%,$'a() =/> 'D"#/ar+a =&>

b> N /rr"#!$&"$%" a "$&"r"(3 N a M$%a$%" & Tr"/h

/> N !#%"r,r 4r*a&r & %r"/h3 N a e'#a$%" & Tr"/h

Para /*!r""$#)? aba,9 %"*# '* "9"*!l &" '*a "%a!a =$1> &a /$#%r'() & &,a+ra*a '$,4,lar $ E9/"l3

F,+'ra 2 : D,a+ra*a '$,4,lar CADE9/"l

Porque escrever o diagrama unifilar em planilha !cel?

^ $"/"##-r, %ra$#/r"."r &,a+ra*a '$,4,lar !ara E9/"l? !,# aX$,/a 4r*a & #4%Jar" "$%"$&"r &,a+ra*a '$,4,lar? '*a ." '" "##"$) l5 &"#"$h# "' 4,+'ra#

A+ra .a*# a/*!a$har "9"*!l aba,9 " %"$%ar "$%"$&"r/* #4%Jar" 4, /$/"b,& !ara !"rar3Pr,*",ra*"$%" #" /r,a &,a+ra*a "* !la%a4r*a CAD "

!#%"r,r*"$%" !a##a !ara E9/"l? b%"$&3

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F,+'ra 2Q : D,a+ra*a '$,4,lar CADE9/"l

N "$&"r"( l,$ha 2 /l'$a 1 =L2C1> "#%- ,&"$%,4,/a&3 O %,! &" $ \ N I$,/,al =i>

N a M$%a$%" \ E$&"r"( & N \ N %

N a e'#a$%" \ N '" 4r*a Tr"/h \ N 0

N%" '" $ "$&"r"( l,$ha 2 /l'$a 2 $ a *$%a$%" $ ?

" '" $ "$&"r"( l,$ha 2 /l'$a 1 $ a '#a$%" $ C* ,#%? #4%Jar" "$%"$&" '" $ ,$,/,al 1 #" l,+a /* $ &" !a##a+"* ?4r*a$& %r"/h 1 S,+a ra/,/$, & #4%Jar"3

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