Projeto de Estradas - Memorial de Cálculo

UNIVERSIDADE FEDERAL DE RORAIMA CENTRO DE CIÊNCIAS TECNOLÓGICAS DEPARTAMENTO DE ENGENHARIA CIVIL

DIANA BATISTA XAUD ARAUJO FELIPE RHADAN SILVA THOMÉ LUIS GUSTAVO GUSTAVO GOMES BATISTA BATISTA TELES MATHEUS BORDONI GALVÃO NARCISO GALVÃO OLIVEIRA

PROJETO DE ESTRADAS MEMORIAL DE CÁLCULO

BOA VISTA, RR JULHO DE 201 DIANA BATISTA XAUD ARAUJO

FELIPE RHADAN SILVA THOMÉ LUIS GUSTAVO GUSTAVO GOMES BATISTA BATISTA TELES MATHEUS BORDONI GALVÃO NARCISO GALVÃO OLIVEIRA

PROJETO DE ESTRADAS MEMORIAL DE CÁLCULO

M!"#$%&' (! )*')+'# (# $#-!.# (! !/.$&(&/, &$!/!.&(# )#"# %/. % /.$+ $+"! "!. .# # (! & &&' &'%& %&3 3# # (& (%/)%'%& (%/) %'%& (! CIV CIV405 405 E/.$& E/.$&(&/, (&/, (& U U% %!$ !$/% /%(& (&(! (! F! F!(! (!$& $&'' (! R#$&%"&, "%%/.$&(# !'& P$#678 M/)7 R!& J#/9 (& C#/.& R%:!%$#7

BOA VISTA, RR JULHO DE 201

2

SUMÁRIO 17

INTRODU;ÃO5

27

CARACTER
>7



D&(#/ =!$&%/  S!)3# T$&/!$/&' 

MEMORIAL DE CÁLCULO ?

>71 PROJETO GEOMÉTRICO HORI@ONTAL ? 3.1.1 Dados Básicos ? 3.1.2 Curva Horizontal 01 ? 3.1.3 Curva Horizontal 02  10 >72 PROJETO GEOMÉTRICO VERTICAL77777777777777777777777777777777777777777777777777777777777777771 >7271 Cota dos pontos notáveis das curvas verticais..............................17 

>7>7 TERRA PLENAGEM >7>71 Distância Econômica de ransporte....................................................1!  >7>72 "apa de Cu#a$%o...............................................................................1! 

57

CONCLUSÃO

7

REFERÊNCIAS BIBLIOGRÁFICAS21

>

1. INTRODUÇÃO O .!$"# !/.$&(&/ 9 +.%'%&(# &$& (!6%%$, (# #.# (! %/.& .9)%)#, # )#-+.# (! #:$&/, !!)+.&(&/ !" (!.!$"%&(# .!$$!#, +! :+/)& %&:%'%&$ +"& /+!$6)%! )#.+&, /!(# !//& )&& (! &//!=+$&$ 3# / & 6&)%'%(&(!, )#"# .&":9" & /!=+$&& (# .$/%.# (! !)+'#/ +! #$ &'% .$&6!=&"7 O $#-!.# (! +"& $#(#%& 3# &='#"!$& &!&/ '&.&/, '&%'&/ ! "!"#$%&%/7 P&$& +" !"$!!(%"!.# )#"'!.# 9 !)!//*$%# +! # "!/"# .&":9" $!& %6#$"&!/ !)#K"%)&/, #'.%)&/, /#)%&%/ ! &":%!.&%/ (& $!=%3#, +"& ! +! $#(#%&/ /3# 6#$.!/ %6'+!)%&(#$&/ (!//!/ 6&.#$!/7 C#" & )#)!3# (# #//# $#-!.#, +! )#"$!!(! $#-!.# #$%#.&', )#" '&%'&/ ! (!/!#/ (!.&'&(#/ (! )&(& +", 9 #/.#  $#& # )#!)%"!.# +! 6#% &//&(# &#/ &'+#/ !" /&'& (! &+'&, &'9" (! %%)%&$ (! )!$.& 6#$"& & $!&$&3# (!//!/ &$& # 6+.+$#7

5

2. CARACTERÍSTICAS GERAIS DO PROJETO 2.1 Dados Gerais O $#-!.# )#/%/.! !" (!/!#'!$ +" $#-!.# =!#"9.$%)# (! +"& $#(#%& C'&//! I !" +" .!$$!# "#.&#/# /!=+(# &/ !/!)%6%)&!/ (# DNIT7 E/.! (!!$* /!$ (!/!#'%(# )#" & )+$& (! !' (&(& ! (!!$* )#.!$ 1 )+$& )%$)+'&$ 1 )+$& (! .$&/%3# ! 1 .&=!.! &$& +'.$&&//&=!"7 P#$9", (!%(# & '&.& &$!/!.&(&, 6#% !$)!:%(# +! 3# /!$%& #//!' !'&:#$&$ +"& )+$& )%$)+'&$ /%"'!/ (! &)#$(# )#" &/ $!)#"!(&!/ (# DNIT7  A//%", 6#$&" !'&:#$&(&/ (+&/ )+$&/ )%$)+'&$!/ (! .$&/%3#7

2.2 Secção Tras!ersa" O/ (&(#/ &$& & /!)3# .$&/!$/&' (# $#-!.# !/.3# "#/.$&(#/ & .&:!'& & /!=+%$ TABELA 1 DADOS DA SEC;ÃO TRANSVERSAL R#(#%& T!$$!# C&&'!.&T&'+(! "Q I)'%&3# F&%& R#'&"!.# Q I)'%&3# F&%& A)#/.&"!.# Q L&$=+$& F&%& R#'&"!.# "Q L&$=+$& F&%& A)#/.&"!.# "Q T#.&' (& S!)3# "Q

C'&//! 1 M#.&#/# 1 2, 2 >, 2, 15



#. $E$ORIA% DE C&%CU%O O "!"#$%&' (! )*')+'# 9 # (!.&'&"!.# (! .#(#/ #/ )*')+'#/ !6!.+&(#/ &$& & $!&'%&3# (!/.! $#-!.#7 N!'! /!$* &:#$(&(# #/ )*')+'#/ (#/ (&(#/ :*/%)#/ ! (#/ $#-!.#/ #$%#.&%/7

#.1 Pro'e(o )ori*o(a" >7171 D&(#/ B*/%)#/  A &$.%$ (& )'&//! ! (# .%# (! $!=%3# (# $#-!.#, .!"#/ +! #//& !'#)%(&(! (! $#-!.# 9 (! ?0 "7 A &$.%$ (!/.! &'#$, #(!"#/ )&')+'&$ .#(#/ #/ &$"!.$#/ (#/ (&(#/ :*/%)#/ &$& # $#-!.#7

C+"c,"o da Dis(-cia de rea/e0 D3    1 2  10,

d 2=0,0039.

 10,60

v² ( f  + i )

 1 52 "

d 2=0,0039.

60²

( 0,33− 0,06)

d 2=52 m

 A//%", #:.%!"#/ +! #//& (%/.)%& (! 6$!&=!" D6Q 9 (! W5"7

?

C+"c,"o da Dis(-cia de U"(ra4assa/e0 D,3   1 2 > 5

(

d 1=0,278. t 1. vu−m +

a . t 1 2

)

(

d 1=0,278.3,6 . 56,2 −15 +

2,25.3,6 2

)

d 1=45,2862 d 2=0,278. v u . t  2

d 2=0,278.56,2.9,3

d 2=145,2995 m

d 3=30 m (Tabelado ) 2

d 4= . d 3 3

2

d 4 = .30

d 4 =96,8663 m

3

 A//%", #:.%!"#/ &$& & #//& (%/.)%& (! +'.$&&//&=!" D+Q # &'#$ (! >1,52"7

C+"c,"o do Raio $5i0o R053  R=

v² 127,138. ( e + ft )

 R=

60² 127,138. ( 0,08 + 0,15 )

 R=123,1117 m

O $&%# "%"# &$& #//# $#-!.# 6#% (! 12>,111"7  A /!=+%$, /!$* "#/.$&(# +"& .&:!'& )#.!(# .#(#/ #/ &$"!.$#/ (#/ (&(#/ :*/%)#/ (# #//# $#-!.#7 TABELA 2 DADOS BÁSICOS DO PROJETO V!'#)%(&(! (! P$#-!.# D%/.)%& (! F$!&=!" D%/.)%& (! U'.$&&//&=!" R&%# M%"#

?0 " W5" >1,52" 12>,111"

>7172 C+$& H#$%#.&' 01 P!'# (!/!# (& #//& )+$&, #:.%!"#/ +" =+'# )!.$&' ACQ (! 8, !/)#'!"#/ +"& .&=!.! (! 200"7 & &$.%$ (!/.!/ &'#$!/, 6#$&" )&')+'&(#/ #/ &$"!.$#/ $!/.&.!/ &$& & $%"!%$& )+$& (! .$&/%3#7 V&'! $!//&'.&$, +! # .%# (! )+$& 9 & (! .$&/%3# !" E/%$&'7 

C+"c,"o do Raio da C,r!a T = R . tan

( )  AC 

2

200= R . tan

(  ) 78 2

 R =246,9794 m

 A//%", &(#.&"#/ +"& R&%# )#" &'#$ (! 25"7

C+"c,"o do Co04ri0e(o de Trasição P&$& & #//&/ )+$&/, +.%'%&"#/ # )#"$%"!.# (! .$&/%3# (!/!-*!'7 Vp ³ 60³   Lsdes = 0,7.  Lsdes=61,21 m 247  Rc

 Lsdes =0,7.

C#"# !/.! &$"!.$# (!! /!$ "'.%'# (! 20, &$$!(#(&"#/ # /!+ &'#$ &$& 0"7

C+"c,"o de 6/,"o Ce(ra" da Es4ira" θs =

80 Ls θs = θs =0,16 rad 2. Rc 2.247

C+"c,"o da A7scissa do SC e do CS 1−

θs

2

+

10

θs

4

1−

Q

216

 Xs= Ls . ¿

0,16

2

10

+

0,16

4

216

Q

 Xs =¿

W,W"

 Xs =80. ¿

C+"c,"o da Ordeada do SC e do CS θs

3

3

−

θs

42

+

θs

5

1320

Ys = Ls . ¿

Q

0,16 3

−

0,16

3

+

0,16

5

42 1320 Ys =80. ¿

Q

Ys =4,31 m

C+"c,"o da A7scissa do Ce(ro Q = Xs− Rc . sen (θs ) Q =79,79−247. sen ( 0,16 ) Q=39,97 m

C+"c,"o do Aas(a0e(o  p=Ys − Rc . [ 1−cos ( θs ) ] p= 4,31 −247. [ 1−cos ( 0,16 ) ] p =1,08 m

C+"c,"o da Ta/e(e To(a" 

TT =Q + ( Rc + p ) .tg

(  )  AC  2

TT =39,97 + ( 247 + 1,08 ) . tg

(  ) 78 2

TT =240,66 m

C+"c,"o do Dese!o"!i0e(o Circ,"ar  Dc=( AC −2. θs ) . RC Dc= ( 1,04 −2.0,16 ) .247 Dc = 256,26 m

C+"c,"o da Dis(-cia E8(era  E=

( Rc + p )

 E =

( 247 + 1,08 )

[ ( ) ] [ (  ) ] cos

 AC  2

− Rc

cos

78 2

 E = 72,22 m

−247

C+"c,"o da Es(aca TS T = !" −TT T =878,08 −240,66 T =637,22 m = 31+ 17,22

C+"c,"o da Es(aca do SC C =T + Ls C =637,22 + 80 C =717,22 m= 35 + 17,22

C+"c,"o da Es(aca do CS C = C + Dc C =717,22 + 256,26 C=973,47 m=48 + 13,47

C+"c,"o da Es(aca ST T =C + Ls T =973,47 + 80 T =1053,47 m= 52 + 13,47

 A /!=+%$ /!$3# "#/.$&(&/ (+&/ .&:!'&/, +"& )#.!(# #/ &$"!.$#/ :*/%)#/ &$& & $%"!%$& )+$& (! .$&/%3#, ! & /!=+(& )#" & '#)&3# (&/ !/.&)&/7 TABELA > PARYMETROS DA CURVA DE TRANSI;ÃO  Y=+'# C!.$&' ACQ T&=!.! TQ R&%# (& C+$& C#"$%"!.# (! T$&/%3#  Y=+'# C!.$&' (& E/%$&'  θs ¿  A:/)%//& SC ! CS X/Q O$(!&(& SC ! CS Z/Q  A:/)%//& (# C!.$# [Q  A6&/.&"!.# Q T&=!.! T#.&' TTQ

8 200" 25" 0" 0,1? $&( W,W" 5,>1" >W,W" 1,0" 250,?" W

D!/!#'%"!.# C%$)+'&$ D)Q D%/.)%& E.!$& EQ

2?,2?" 2,22"

TABELA 5 LOCA;ÃO DA PRIMEIRA CURVA

 TS

SC

CS

ST

ESTA FRAÇÃ CORD DISTÂNC θ(RA CA O A IA D) 0,000 31 17,22 0,00 0,00 0 0,000 32 2,78 2,78 2 0,013 33 20,00 22,78 1 0,0!6 3! 20,00 !2,78 3 0,0"" 3 20,00 62,78 7 0,161 3 17,22 17,22 80,00 " ESTA FRAÇÃ CORD DISTÂNC θ(RA CA O A IA D) 0,000 !8 13,!7 0,00 0,00 0 0,001 !" 6,3 6,3 1 0,017 0 20,00 26,3 8 0,0! 1 20,00 !6,3 8 0,112 2 20,00 66,3 0 0,161 2 13,!7 13,!7 80,00 "

X

Y

DEFLEXAO (G)

0,00

0,00

-

2,78

0,00

0,0037

22,78

0,10

0,208

!2,77

0,66

0,88!

62,72

2,0"

1,"0!6

7",7"

!,31

3,0"23

X

Y

DEFLEXAO (G)

0,00

0,000

-

6,3

0,0023

0,0206

26,2 0,17!

0,3!00

!6,1 0,8!"3

1,0!61

66,!! 2,!811

2,138

7",7" !,310!

3,0"22

E/.!/ 6#$&" #/ !'!"!.#/ ! '#)&3# (& $%"!%$& )+$& #$%#.&' (! .$&/%3#7 E" /!=+%(&, /!$* 6!%.# # "!/"# $#)!(%"!.# &$& & #//& /!=+(& )+$&7 3.1.3

CURVA HORIZONTAL 02

P!'# (!/!# (& #//& )+$&, #:.%!"#/ +" =+'# )!.$&' ACQ (! 58, !/)#'!"#/ +"& .&=!.! (! 100"7 & &$.%$ (!/.!/ &'#$!/, 6#$&" )&')+'&(#/ #/

10

&$"!.$#/ $!/.&.!/ &$& & /!=+(& )+$& (! .$&/%3#7 V&'! $!//&'.&$, +! # .%# (! )+$& 9 & (! .$&/%3# !" E/%$&'7

C+"c,"o do Raio da C,r!a T = R . tan

( )  AC  2

100= R . tan

( )  47 2

 R=229,9842 m

 A//%", &(#.&"#/ +"& R&%# )#" &'#$ (! 2>0"7

C+"c,"o do Co04ri0e(o de Trasição P&$& & #//&/ )+$&/, +.%'%&"#/ # )#"$%"!.# (! .$&/%3# (!/!-*!'7 60³ Vp ³   Lsdes = 0,7.  Lsdes = 65,74 m 230  Rc

 Lsdes =0,7.

C#"# !/.! &$"!.$# (!! /!$ "'.%'# (! 20, &$$!(#(&"#/ # /!+ &'#$ &$& 0"7

C+"c,"o de 6/,"o Ce(ra" da Es4ira" θs =

Ls 80 θs = θs =0,17 rad 2. Rc 2.230

C+"c,"o da A7scissa do SC e do CS 1−

θs

2

+

10

θs

4

1−

Q

216

 Xs= Ls . ¿

0,17

2

10

+

0,17

4

216

Q

 Xs =¿

W,?"

 Xs =80. ¿

C+"c,"o da Ordeada do SC e do CS θs

3

3

−

θs

42

+

θs

5

1320

Ys = Ls . ¿

Q

0,17 3

−

0,17

3

+

0,17

5

42 1320 Ys =80. ¿

Q

Ys =4,63 m

C+"c,"o da A7scissa do Ce(ro Q = Xs− Rc . sen (θs ) Q =79,76− 230. sen ( 0,17 ) Q=39,96 m

C+"c,"o do Aas(a0e(o 11

 p=Ys − Rc . [ 1−cos ( θs ) ] p= 4,63− 230. [ 1− cos ( 0,17 ) ] p =1,16 m

C+"c,"o da Ta/e(e To(a" TT =Q + ( Rc + p ) .tg

(  )  AC  2

TT =39,96 + ( 230 + 1,16 ) . tg

( )  47 2

TT =140,47 m

C+"c,"o do Dese!o"!i0e(o Circ,"ar  Dc=( AC −2. θs ) . RC Dc= ( 0,47−2.0,17 ) .230 Dc= 108,67 m

C+"c,"o da Dis(-cia E8(era  E=

( Rc + p )

 E =

( 230 + 1,16 )

[ ( ) ] [ ( ) ] cos

 AC  2

− Rc

cos

 47 2

 E =22,06 m

−230

C+"c,"o da Es(aca TS T = !" −TT T =1574,07 −140,47 T= 1433,60 m=71 + 13,60

C+"c,"o da Es(aca do SC C =T + Ls C =1433,60 + 80 C = 1513,60 m=75 + 13,60

C+"c,"o da Es(aca do CS C = C + Dc C =1513,60 + 108,67 C=1622,27 m = 81+ 2,27

C+"c,"o da Es(aca ST T =C + Ls T =1622,27 + 80 T = 1702,27 m=85 + 2,27

 A /!=+%$ /!$3# "#/.$&(&/ (+&/ .&:!'&/, +"& )#.!(# #/ &$"!.$#/ :*/%)#/ &$& & /!=+(& )+$& (! .$&/%3#, ! & /!=+(& )#" & '#)&3# (&/ !/.&)&/7

TABELA  PARYMETROS DA CURVA DE TRANSI;ÃO 12

 Y=+'# C!.$&' ACQ T&=!.! TQ R&%# (& C+$& C#"$%"!.# (! T$&/%3#  Y=+'# C!.$&' (& E/%$&'  θs ¿  A:/)%//& SC ! CS X/Q O$(!&(& SC ! CS Z/Q  A:/)%//& (# C!.$# [Q  A6&/.&"!.# Q T&=!.! T#.&' TTQ D!/!#'%"!.# C%$)+'&$ D)Q D%/.)%& E.!$& EQ

58 100" 2>0" 0" 0,1 $&( W,?" 5,?>" >W,W?" 1,1?" 150,5" 10,?" 22,0?"

TABELA ? LOCA;ÃO DA SEGUNDA CURVA DE TRANSI;ÃO

 TS

SC

CS

ESTAC FRAÇÃ CORD DISTÂNCI θ(RAD A O A A ) 0,000 71 13,60 0,00 0,00 0 0,001 72 6,!0 6,!0 1 0,018 73 20,00 26,!0 " 0,08 7! 20,00 !6,!0  0,11" 7 20,00 66,!0 8 0,173 7 13,60 13,60 80,00 " ESTAC FRAÇÃ CORD DISTÂNCI θ(RAD A O A A ) 0,000 81 2,27 0,00 0,00 0 0,008 82 17,73 17,73  0,038 83 20,00 37,73 7 0,0"0 8! 20,00 7,73 6

X

Y

DEFLEXAO( G)

0,00

0,00

-

6,!0

0,00

0,0213

26,!0

0,17

0,3617

!6,38

0,"0

1,1173

66,30

2,6

2,287"

7",76

!,63

3,3206

X

Y

DEFLEXAO( G)

0,00

0,00

-

17,73

0,0

0,1631

37,72

0,!"

0,7388

7,68

1,7!

1,72"

1>

8 ST

8

2,27

20,00

77,73

2,27

80,00

0,16! 2 0,173 "

77,2

!,2

3,130

7",76

!,63

3,3206

TABELA  LOCA;ÃO DO PRIMEIRO ARCO CIRCULAR SC  

                CS

ESTACA CORDA DISTÂNCIA DEFLEXAO(G) 3#17,22 0,00 0,00 36,00 2,78 2,78 37,00 20,00 22,78 38,00 20,00 !2,78 3",00 20,00 62,78 !0,00 20,00 82,78 !1,00 20,00 102,78 !2,00 20,00 122,78 !3,00 20,00 1!2,78 !!,00 20,00 162,78 !,00 20,00 182,78 !6,00 20,00 202,78 !7,00 20,00 222,78 !8,00 20,00 2!2,78 !8#13,!7 13,!7 26,2

0,00 0,!2 3,!7 6,1 ", 12,60 1,6! 18,6" 21,73 2!,77 27,82 30,86 33,"0 36," 3",00

TABELA  LOCA;ÃO DO SEGUNDO ARCO CIRCULAR SC    

CS

3.1.4.

ESTACA CORDA DISTÂNCIA DEFLEXAO(G) 7#13,6 0,00 0,00 0,00 76,00 6,!0 6,!0 1,38 77,00 20,00 26,!0 ,71 78,00 20,00 !6,!0 10,03 7",00 20,00 66,!0 1!,36 80,00 20,00 86,!0 18,68 81,00 20,00 106,!0 23,01 81#2,27 2,27 108,67 23,0

SUPER ELEVAÇÃO E SUPER LARGURA

15

 TS1

SC1

CS1

ST1

 TS2

SC2

CURVA I ESTAC CORDA( DISTÂNCIA SUPERELEVAÇÃ SUPERLARGUR AS m) S(m) O(%) A(m) 31#17, 22 0 0 0 32 2,78 2,78 0,278 0,012382101 33 20 22,78 2,278 0,101!61"68 3! 20 !2,78 !,278 0,1"0!183 3 20 62,78 6,278 0,27"621702 3#17, 22 17,22 80 8 0,3631"!67 36 2,78 2,78 8 0,3631"!67 37 20 22,78 8 0,3631"!67 38 20 !2,78 8 0,3631"!67 3" 20 62,78 8 0,3631"!67 !0 20 82,78 8 0,3631"!67 !1 20 102,78 8 0,3631"!67 !2 20 122,78 8 0,3631"!67 !3 20 1!2,78 8 0,3631"!67 !! 20 162,78 8 0,3631"!67 ! 20 182,78 8 0,3631"!67 !6 20 202,78 8 0,3631"!67 !7 20 222,78 8 0,3631"!67 !8 20 2!2,78 8 0,3631"!67 !8#13, !7 0 80 8 !" 6,3 73,!7 7,3!7 0 0 20 3,!7 ,3!7 0 1 20 33,!7 3,3!7 0 2 20 13,!7 1,3!7 0 2#13, !7 13,!7 0 0 0

CURVA II ESTAC CORDA( DISTÂNCIA SUPERELEVAÇÃ SUPERLARGUR AS m) S(m) O(%) A(m) 71#13, 6 0 0 0 72 6,! 6,! 0,6! 0,02807 73 20 26,! 2,6! 0,1178!2! 7! 20 !6,! !,6! 0,206662"1 7 20 66,! 6,6! 0,2"7!18 7#13, 6 13,6 80 8 0,3631"!67

1

CS2

ST2

76 77 78 7" 80 81 81#2,2 7 82 83 8! 8 8#2,2 7

6,! 20 20 20 20 20

86,! 106,! 126,! 1!6,! 166,! 186,!

8 8 8 8 8 8

0,3631"!67 0,3631"!67 0,3631"!67 0,3631"!67 0,3631"!67 0,3631"!67

0 13,6 20 20 20

80 66,! !6,! 26,! 6,!

8 8 8 8 8

0,3631"!67 0,3631"!67 0,3631"!67 0,3631"!67 0,3631"!67

2,27

!,13

8

0,3631"!67

C$%&' I - S$%*&'+ 10 8 6

S$%*&'+

! 2 0

0

0 100 10 200 20 300 30 !00 !0 00

D./.' (4)

1?

C$%&' I - S$%*'%$%' 05! 053

S$%*'%$%' 052 051 0

0

0 100 10 200 20 300 30 !00 !0 00

D./.' (4)

C$%&' II - S$%*&'+ " 8 7 6  S$%*&'+ () ! 3 2 1 0

0

0

100

10

200

20

D./.'/ (4)

C$%&' II - S$%*'%$%' 05! 053 053 052 S$%*'%$%' (4) 052 051 051 050 0

0

0

100

10

200

20

D./.' (4)

1

3.

2 PROJETO GEO$9TRICO :ERTICA% >7271 C#.& (#/ #.#/ #.*!%/ (&/ )+$&/ !$.%)&%/

1\ )+$& P&$& )*')+'# (! ) ! . 6#$&" &(#.&(#/ ]1120 " ! ]2  >?0 " %1  40,5 ! %2  40,15 PCV   ^ 100 PIV

¿ 0,0045 ¿

 5, "

 5 "

PTV =

5 ^ 0,0015

F'!)& PIV 

0,0031 2∗ 480

 >,0 "

¿ 360

_120`2  0,05? "

N#& )#.& PIV  >,W " 2\ )+$& P&$& )*')+'# (! ) ! . 6#$&" &(#.&(#/ ]1550 " ! ]2  220 "  %1  40,15 ! %2  0,2 PCV  5 4 PIV

 5 ^

PTV =

5 

F'!)& PIV 

0,14 100

∗260

0,14 100

∗700

0,27 100

∗220

0,0013 1320

 >,?>? "  >,02 "  >,W5 "

_550`2  0,1W0 "

N#& )#.& PIV  2, 0W> " >\ )+$& P&$& )*')+'# (! ) ! . 6#$&" &(#.&(#/ ]1250 " ! ]2  120 "  %1  0,2 ! %2  0, PCV  5  PTV =

 

0,27 100 0,85 100

∗480

 5,2W? "

∗120

 ?,02 "

PIV   " 1

F'!)& PIV 

0,0058 720

_250`2  0,5?5 "

N#& )#.& PIV  5,>? "

>7> TERRA P%ENAGE$ >7>71 DIST6NCIA ECON;$ICA DE TRANSPORTE C+/.# (! !/)&&3#  >,0 Ra"b

)!Q

C+/.# (! .$&/#$.!  1, Ra"b7"Q

).Q

D%/.)%& "9(%& &$& :#.&46#$&  00"

(:6Q

D%/.)%& "9(%& &$& !"$9/.%"#  00 "

(!"Q

D!. 

ce  + demp + dbf  ct 

D!.  > " >7>72 $APA DE CU
Aterr Aterro Corte o Vo!m Vo!me re"!#$" Com& Com& L$'*a "e (m²) (m²) e corte aterro o Tra's& Lo'$t& +r!c,'er 0 0 0 0 0 0 0 0 0,"0" ",0" 0 0 0 ",0" ",0" 2,"01 38,1 0 0 0 38,1 !7,1" ,0"" 80 0 0 0 80 127,1" 7,6 127,!" 0 0 0 127,!" 2!,68 10,8  6 18,06 0 0 0 18,06 !3",7! 1!,!7 6 6 23,32 0 0 0 23,32 6"3,06 1!,7" 7 ! 2"2,7 0 0 0 2"2,7 "8,76 17,3! 8 6 321,! 0 0 0 321,! 1307,16 1!,27 " 2 316,18 0 0 0 316,18 1623,3! 10 ",11 233,87 0 0 0 233,87 187,21

1W

11 8,11 12 ",71!

172,3 81,1

0 "7,1!

0 116,68

0 81,1

13 1! 1 16 17 18 1" 20 21 22 23 2! 2 26 27 28 2" 30 31 32 33 3! 3 36 37 38 3"

1!,33 18,8 21,"6 2!,03 2,37 2,37 26,6! 26,82 26,68 26,36 26,11 2,23 2!,!2 23,!1 22,21 20,!7 10,3 1!,86 16,11 1,11 11,88 ",2 !,2! 2, ",28 10,6" 11,!3

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

2!0,!! 331,3 !07,6 !"," !"! 07,! 20,1 3!,6 3 30,! 2!,7 13,! !"6, !78,3 !6,2 !26,8 308,2 22,1 30",7 312,2 26"," 21! 137,6 67," 118,3 1"",7 221,2

288,28 3"7,6 !8",12 1,88 "2,8 608,88 62!,12 6!1,2 6!2 636,!8 62",6! 616,08 ",8 73,"6 !7,!! 12,16 36",8! 302,2 371,6! 37!,6! 323,88 26,8 16,12 81,!8 1!1,"6 23",6! 26,!!

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

172,3 -3,!18 288,28 -3"7,6 -!8",12 -1,88 -"2,8 -608,88 -62!,12 -6!1,2 -6!2 -636,!8 -62",6! -616,08 -",8 -73,"6 -!7,!! -12,16 -36",8! -302,2 -371,6! -37!,6! -323,88 -26,8 -16,12 -81,!8 -1!1,"6 -23",6! -26,!!

!0

1!,1!

0

2,7

306,8!

0

-306,8!

!1

1",1"

0

333,3

3"","6

0

-3"","6

!2

10,2"

0

2"!,8

33,76

0

-33,76

!3

10,2"

0

20,8

2!6,"6

0

-2!6,"6

!!

20,1!

0

30!,3

36,16

0

-36,16

0,37

!,!

20,1

2!6,12

!,!

-2!1,72

!

0,!!

!6

8,13

8,7

3,7

!,!!

!,!!

81,26

!7 11,83

1"",6

0

0

0

1"",6

!8 12,"

2!!,2

0

0

0

2!!,2

202",1 1""!,0"2 170,6! 1308,00! 818,88! 267,00! -32,7"6 -"3!,676 -18,7"6 -2200,316 -28!2,316 -3!78,7"6 -!108,!36 -!72!,16 -320,316 -8"!,276 -6!!1,716 -6"3,876 -7323,716 -7626,236 -7""7,876 -8372,16 -86"6,3"6 -8"3,1"6 -"118,316 -"1"",7"6 -"3!1,76 -"81,3"6 -"8!6,836 1013,676 103,636 10"07,3"6 111!,36 111",16 11761,236 1167","76 11!80,376 11236,176

20

!"

8,23

208,2

0

0

0

208,2

0

8,68

16",1

0

0

0

16",1

1

",03

177,1

0

0

0

177,1

2

",3

183,3

0

0

0

183,3

3 12,6

21",

0

0

0

21",

! 12,2  10,62 6 10,1" 7 ",7 8 ",31 " 8,8 60 8,3! 61 8,12 62 7,8" 63 7,6 6! 7,!3 6 7,2! 66 6,12 67 6,"3 68 6,"" 6" ,06 70 ,8 71 ,12 72 !,"7 73 !,8 7! !,2 7 3,33 76 2," 77 2,!! 78 2,3! 7" 2,17 80 1,82 81 1,7 82 1 83 0,18 8! 8 86 87 88 8" 2,0"

2!8, 228,2 208,1 1"",! 1"0,6 181,6 171," 16!,6 160,1 1!, 1!"," 1!6,7 133,6 130, 13",2 120, 106,! 107 100," "8,2 "0, 7,3 62,3 3,! !7,8 !,1 3"," 3,7 27, 11,8 1,8 0 0 0 0 20,"

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ,7 27,3 !, 7!, 78,7 81,7 !",!

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6,8! 32,76 6,! 8",! "!,!! "8,0! ",28

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6,8! 1,8 0 0 0 0 20,"

2!8, 228,2 208,1 1"",! 1"0,6 181,6 171," 16!,6 160,1 1!, 1!"," 1!6,7 133,6 130, 13",2 120, 106,! 107 100," "8,2 "0, 7,3 62,3 3,! !7,8 !,1 3"," 3,7 27, !,"6 -30,"6 -6,! -8",! -"!,!! -"8,0! -38,38

0,7 2,16 3,2" !,16 3,71 !,!6 0,!8

11027,"76 1088,876 10681,776 10!"8,!76 10278,"76 10030,!76 -"802,276 -""!,176 -"3"!,776 -"20!,176 -"022,76 -880,676 -8686,076 -82,"76 -8371,!76 -8221,76 -807!,876 -7"!1,276 -7810,776 -7671,76 -71,076 -7!!!,676 -7337,676 -7236,776 -7138,76 -70!8,076 -6"72,776 -6"10,!76 -687,076 -680",276 -676!,176 -672!,276 -6688,76 -6661,076 -666,116 -6687,076 -672,!76 -68!1,876 -6"36,316 -703!,36 -7072,736

21

"0 "1 "2 "3

3,2 3,2 1,08 0,72

2," 6! !2,8 18

!,8 0 0 0

,76 0 0 0

,76 0 0 0

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