!"#$% "& %+!,*' *" (" '!"(" ) '- ("( ( ".+% &" " %/! '#$% (% ! $% ".+% 4556 1 '2 '3" " *%+" $% 0!.+% ( !"#$% "& %+!,*' *" (" '!"(" ) '- ("( ( ".+% &" " %/! '#$% (% ! *%+" $% 0!.+% ( 1 '2 '3" " "( '2 '3" " ( %'* '! "#$%7 %' ! .#$% -+ '!"(% 7 %8 "*' $% ".+% 4556 "( . %*"(% "9:% "(% ! ; 1&+" 8% - "(% "+! "(% 1 +"#$% ) - $% % 2 '"+< %/ &%' "/ +("( 9' *" (% ".!% *%1 " "'.='*" ( . % '!"(% $% ".+%<>? ( 5? ( 4556 '"!. " (%".!% '"!. " (%% '!"(% May, Simone Estudo da viabilidade do aproveitamento de água de chuva para consumo não potável em edificações / S. May. -- São Paulo, 2004. 159 p. Dissertação (Mestrado) - Escola Politécnica da Universidade de São Paulo. Departamento de Engenharia de Construção Civil. 1.Água pluvial (Aproveitamento; Qualidade; Coleta) 2.Viabilidade econômica I.Universidade de São Paulo. Escola Politécnica. 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" -"'!"2 1 ( 8+ ;0- +*%1 % "(%!"(% % -"!J % ( @2." ( +"#$% "% ("(% ( ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES '! "(" &" " % *@+*.+% % ; 1&+%<&%( H 10 3 .!+A" ( 1"'(" *%' !"'! %. ( 1"'(" -" @- +< *3.-" 1,( " 1 ' "+< *3.-" 1 ' "+ %. *3.-" ( @ "< /" !"'(% &" " % - 8*" " ( &%' / +("( ( ("(% &+.- %1,! *% & '*&" 8"!% D. '8+. '*"1 '% ( 1 ' %'"1 '!% (% -"!J %( @2." ( *3.-" $%7 @ " (%! +3"(%g D."'!("( ( @2." ' * @ " &" " "! '( ( 8' #$% (% !&% ( -"!J % D. *. !% < *. % $% "& &+"' +3" ( *3.-" .1 ( '!"(% " ?4> 2. < % ("(% ( ( 1 ' %'"1 '!% (% -%+.1 -"!J % ( "0(" (" @2." ( @ ; 1&+8*"(% "! "-, ( '!"(% '% ;"1 ( D."+8*"#$%< 1 "&% % ) ( *.!(" '%& +"' +3" '! "(" (% '-%+- 1 '!% ( !" & D. " " *%'* !." @ .!+A"(% 1 ! 1% ( 1,!%(% *%' ! .!-% !.(% ( *" %<"& & 1 " ( 1"'("g ( '! ! "/"+3% ( 1 ' %'"1 '!% (% -%+.1 -"!J % ( @2." ( *3.-" G ,!%(% '"+0!*% 2.'(% %1"A Y455PZ< &" " % ( 1 ' %'"1 '!% (% -%+.1 -"!J % ( @2." ( *3.-" (% $% ' * @ % % 2. '! (% ("(% ( '! "("7 & *& !"#$% 1,( " 1 ' "+< ( 1"'(" 1 ' "+ *%' !"'! %. -" @- +<@ " ( *%+ !" & %2 "1" $%7 -%+.1 *% 8* '! ( ( .'%88 B@ % ("(% ( *3.-" 1 ' "+< -%+.1 "*.1.+"(%<-%+.1 ( *3.-" 1 '% " ( 1"'(" 2. $% ( * !% % ("(% ( ( 1 ' %'"1 '!%(% ( *3.-" 1 ' "+ -%+.1 (% '! "(" -"!J %( @2." ( *3.-" "0(" (% -"!J % "0(" (" &+"' +3" ( ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES 10 4 7 3.-" 1,( " 1 ' "+ Y11Z7 &" " .1 *@+*.+% 1" & * % (" & *& !"#$% 1,( " 1 ' "+ , "*%' +3@- + ) .!+A"#$% (% ("(% 7 0'( * 0'( * &+.- %1,! *% 1 ' " &+.- %1,! *% (% +%*"+ ( & J; 1% &% 0- + 2. '! (% 9+!1% >5 "'% %. 1" ' !"+"#$% (% % & %2 "1" ( - "/ +("( ! 1" %. % 1" *%'K1 *" (% ! 1" @ & 1 !(" %1 '! " '! "(" ( & *& !"#$% 1,( " 1 ' "+ 1"'(" 1 ' "+Y1^Z7 " ( 1"'(" 1 ' "+ 8 @2." &%!@- + D. &%( -%+.1 ' * .1" ( ./ !!.0(% &% @2." ( @2." ' * @ % &" " "+1 '!" "% -%+.1 ( *3.-"< %. % &%'!% %'( :"< % '$% 3@ ("( (" .!+A"#$% ( @2." &%!@- +'% '! -"+% ( .1 1= (='*" " @2." ( *3.-" &%( @ -" % "' !@ %< +"-"2 1 ( +"-"2 1 ( *"+#"(" .!+A"(" &" " 1& H !* %.&" < .!+A"(" &" " +1& A" (% 2" ( :" ( 1< +"-"2 1 ( 1 '(9 ! " < " @2." ( 8 "1 '!% 1 !% 1 *" %< *3.-" &%( @ < " H*%'( *%'"(%< +1& A" (" "<-" % "' !@ % !* " ( *%+ !" Y1hZ7 %1" (" @ " ( !'"(" " *%+ !" @2." ( *3.-" % 8* '! ( .'%887 *% 8* '! 8 '! ) & (" ( @2." &% -"&% "#$%<-"A"1 '!% <+"-"2 1 (% ! +3"(%< !* M %+.1 7 ( *3.-" 1 ' "+ Y1^Z7 , % -%+.1 *3.-" D. &%( @ 1@; 1% ( @2." ( *%+ !"(% '% '! -"+% ( .1 1= 2.'(% %1"A Y>OOQZ<% -%+.1 1@; 1% ( *3.-" 1 ' "+D. &%( @ " 1"A '"(% , *"+*.+"(% & +" 2. '! D."#$%7 ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES 10 5 Q = P ∗ A∗C '( 7 T r %+.1 "'."+( @2." ( *3.-" Y1^Z r *& !"#$%1,( " 1 ' "+Y11Z r " ( *%+ !" Y1hZ .'%88 r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ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM 106 EDIFÍCAÇÕES 4O7 b m P m 11 H 1^ 1^ 1h 1^ 1^ 1^ b 1^ B B B n 91 %( ( " D. 3"- @ .& 1 '!%*%1 @2." ( *3.-"7 3 (" As colunas que estão grifadas em amarelo são referentes aos dados de entrada do programa, as demais são referentes aos dados de saída do programa. ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 107 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES ?44 1 ' %'"1 '!% (% -%+.1 @2." ( *3.-" H ,!%(% (% -"!J % ( @8*% 2.'(% %1"A Y455PZ< '% 1,!%(% (% 2 @8*% $% .!+A"(% % -%+.1 ( *3.-" "*.1.+"(" ( ( 1"'(" "*.1.+"(" ( :"' :"' % " ( A 1/ %< / 1 *%1% " % " ( A 1/ % % ("(% $% & '!"(% &% .1" *. -" % ("(% $% & '!"(% &% .1" " " % -%+.1 "*.1.+"(% &" " " ( 1"'(" *%' !"'! !"<*%1% ( 1%' ! " (% 2 @8*% (" 82. " "/" ;% Diagrama de massas (Rippl) 140 Consumo acumulado Chuva acumulada Volume em m³ 120 Limite inferior Limite superior 100 80 60 40 20 0 0 1 2 3 4 5 6 7 8 9 10 11 12 Tempo em meses 2 PN7 @+*.+% (% -%+.1 (% % 2 @8*% "*1" ( :"' ( 1"'(" 1 ' "+ !@ -"!J %< ! "#"H ,!%(% 2 @8*% !$% '( *"(% <'% ;% (" "/ * " <% 1 % " ( A 1/ % "*.1.+"(% 1 ' " -"!J % ( @2." ( *3.-" H ( % ;% (" @2." ( & *3.-" '!"(% & +" &" "+ +" % ( '"(" !" !$% % -%+.1 -%+.1 "*.1.+"(% (" " " %/! H % -%+.1 (% & +" *. -" "*.1.+"(" (% *%' .1% !"'2 '*"'(%H" & +% &%'!% 1" "+!% & +% &%'!% 1" /" ;% - !*"+ '! " (." &" "+ +" @%-%+.1 (% -"!J % ( !U'*" ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 108 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES ?P 8*"#$% (% -%+.1 (% -"!J % ( @2." ( *3.-" 2.'(% 3. !"+ Y>OOOZ<'% "& %- !"1 '!% ( @2." ( *3.-" % -"!J % , % *%1&%' '! *"&"*("( ( 1" ( & '( % % (% ." " 1"A '"1 '!% '8+. '*" '$% %1 '! % *. !%< 1" !"1/,1 " *"&"*("( ( "! '( 1 '!% (" ( 1"'(" Y4555Z<, ;! 1"1 '! 1&% !"'! 8"A " "'@+ *3.-" " ! 1" 2.'(% 3 '2 (% -%+.1 ( @2." ( *%+ !"("< &" " D. % *. !% 8'"+ '$% '- "/ +A % . % (% ! 1" " 82. " "/" ;% - '! "(" "0(" ( @2." (% 8*"H % D. 1" ( 8.'*%'"1 '!% ( -"!J %( "*.1.+"#$% ! 2 PQ7 "+"'#% ( '! "(" "0(" ( @2." ( *3.-" '% 7 3 '2 Y4555Z # -"!J % ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 109 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕ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g 1"'(" 1 ' "+Y1^Zg " ( *%+ !" Y1hZg % 8* '! ( .'%88g %+.1 (% -"!J % Y1^Z7 % -%+.1 (% "'! % & +%1,!%(%( -"!J % *%'8% 1 ' !"+"#$% (% M &&+ %( H ' * ("( -"!J % , %/!(% '% *@+*.+% !"1/,1 "(%!" .1 -%+.1 &" " % ( & %: !% *%'( #\ (% +%*"+ ( ! 1" 7 %+.1 ( *3.-" 1 ' "+Y1^Zg %+.1 '% ( @2." '% 4 5 -"!J % '% '0*% (% 1= R Y G >Z Y1^Z7 , % -%+.1 -"!J % '% '0*% ( *"(" 1= Os dados de entrada não descritos já foram citados anteriormente. O primeiro mês é considerado zero, pois supõe-se que o reservatório está vazio. ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 110 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES %+.1 '% -"!J % '% 8'"+(% 1= Y @2." 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'" ( !% '% Yc "" D. -"+ '! < 8 !-%< "*1" (% '( ;"(% (" &+"' +3"<" '8+"#$%*%' ( "("Zg 'r 0%(%!%!"+(%8+.;%8'"'* % Y"'% Zg Da> r '% (% '0*% (% 8+.;%( "F/"*C ( !% '% 1@ % Y"'%Z7 , % & "A% ( '- !1 '!% " !"/ +" P> '*%'! "1H "'@+ 8+.;% ( ( *.& "#$% (" *"&"*("( *%'K1 *" % ("(% ( 1 8'"'*"1 '!% '! "(" '" &+"' +3" ( " !"/ +" P4 '*%'! "1H 1&+"'!"#$% %& "#$% '" !"/ +" PP '*%'! "1H '- !1 '!%< !% '% & %2 "1" ( - "/ +("( 8% 1"#$% (" !";" '! '" ( *%'K1 *" % % 8+.;% !% '% (% ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 117 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES P>7 V Y "+% ";" Z 1 l(" ("!" /" (" "'@+ "'@+ 8 !-" *%' ( "(" "*1" (%0'( * ( "A%( > "'%&" " 1&+"'!"#$% *+%( 45 "'% ( %& "#$% '0*%( 1&+"'!"#$%'%>u"'% '0*%( %& "#$%'%>u%. '%4u"'% M'( * ( '8+"#$%2 "+7 M'( * ( '8+"#$% !% "+7 c "" c "" d5e '8+"#$%2 "+ ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM 118 EDIFICAÇÕES P47 W Q W >u >u > 4 P 6 R ? N Q O >5 >> >4 >P >6 >R >? >N >Q >O 45 8 As colunas que estão grifadas em amarelo são referentes aos dados de entrada do programa, as demais são referentes aos dados de saída do programa. ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM 119 EDIFICAÇÕES PP7 W < W W W b W [ W ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 120 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES ?64 +"' +3" ( "'@+ *%'K1 *" (% ! 1" *%1 8'"'*"1 '!% O7 "A%( 1&+"'!"#$%Y"'%Zg "A%( %& "#$% Y"'% Zg '0*%( 1&+"'!"#$%Y"'%Zg '0*%( %& "#$%Y"'%Zg 7 % * '!"2 1 (" 1&+"'! "'!"#$% " 8'"'*" YcZ7 , " &" * +" (% *. !% (" 1&+"'!"#$% D. @8'"'*"(" B. % (% 8'"'*"1 '!% Yc ""< D. -"+ '! < 8 !-%< "*1" (" '8+"#$%Z7 , " 1.' "#$% (% *"& !"+< " ( / !" (% "+(% ( - (% (% 8'"'*"1 '!% 7 M'( * ( M'( * '8+"#$% 2 "+Yc ""Zg !% "+Yc ""Zg 7 . ! % *%1 1&+"'!"#$%Y ld5eZg . ! % *%1 %& "#$% 1"'.! '#$% Y ld5eZg * !" 2 "(" & +" *%'%1 " ( @2." Y ld5eZg 9 Os dados de entrada não descritos já foram citados anteriormente. ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 121 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES M >57 *%+"1 '!% ( *. !% *%1 %& "#$% 1"'.! '#$% Yc Yc ""< D. -"+ '! < 8 !-%<"*1" (" '8+"#$%Zg %- 1 '!"#$%8'"'* " Y ld5eZg +.;% "*.1.+"(%Y l d5eZg '"'*"1 '!% G 1&+"'!"#$% D. / "#\ Y l d5eZ7 , " &" * +" (% *. !% ( @8'"'*"(" '- !1 '!%Y l d5eZg +.;% "*.1.+"(%"&J *. % +*. % ( &%'0- "'! '- !1 '!%Y l d5eZg (% &"2"1 '!% (% 8'"'*"1 '!% (R$ d5e): &" " &"2"1 '!%(%8'"'*"1 '!% '"'*"1 '!% G "+(% ( - (% (% "+(% ( - (% &"2"1 '!% Y l d5eZ7 &"2"1 '!% - '*.+"(% "% 8+.;% (" * !" 2 "(" '% **+% %& "*%'"+ !% '% "&J &"2"1 '!% 8'"'*"1 '!% (R$ d5e): , % 8+.;% 1 ' "+ ( *. % +- (% ! 1"<%. - '*.+"(% " ' '3.1 ( :"<"D. + *. % D. '$% !$% '*" ; 8.!. %<'%3% A%'! (%& %: !% +.;% '- !1 '!%[ !% '%Y ld5eZg % 1"#$% (" !";" '! '" ( !% '% Yc ""< D. -"+ '! < 8 !-%< "*1" (" '8+"#$%Zg "F/"*C 10 1@ %Y"'%Z Os dados de saída não descritos já foram citados anteriormente. ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA 122 PARA CONSUMO NÃO POTÁVEL EM EDIFICAÇÕES " !"/ +" P6 %/ -"1H % ("(% ( '! "(" '" &+"' +3" ( "'@+ *%'K1 *" *%1 8'"'*"1 '!% 8+.;% ( 1&+"'!"#$% %& "#$% '" !"/ +" P? %/ '- !1 '!%< !% '% - "/ +("( " !"/ +" PR %/ 8% 1"#$% (" !";" ( !% '% (% & %2 "1" ( V Y "+% 1 l(" ("!" /" Z (" "'@+ 8 !-" *%' ( "(" "*1" (%0'( * ( d5e '8+"#$% 2 "+ "A%( > "'%&" " 1&+"'!"#$% *+%( 45 "'% ( %& "#$% '0*%( 1&+"'!"#$%'% >u"'% '0*%( %& "#$%'%>u%. '% 4u"'% Porcentagem dos custos de implantação a financiar: Juros do financiamento (% aa, equivalente, taxa efetiva): M'( * ( '8+"#$%2 "+7 M'( * ( '8+"#$% !% "+7 % % 8+.;% ( *%'K1 *" P67 ";" -"1H -"1H c "" c "" . % . % 11 W >u >> W As colunas que estão grifadas em amarelo são referentes aos dados de entrada do programa, as demais são referentes aos dados de saída do programa. > 4 P 6 R ? N Q O >5 >> >4 >P >6 >R >? >N >Q >O 45 >u PR7 EDIFÍCAÇÕES ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM 123 ESTUDO DA VIABILIDADE DO APROVEITAMENTO DE ÁGUA DE CHUVA PARA CONSUMO NÃO POTÁVEL EM 124 EDIFÍCAÇÕES P?7 W < W b > 4 P 6 R ? N Q O >5 >> >4 >P >6 >R >? >N >Q >O 45 W b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