ALCANTARILLADOS_Tarea_1

7/25/2019 ALCANTARILLADOS_Tarea_1

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ALCANTARILLADOSHidrulica de los conductos


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Un -#"# e is(#ri!r!nes In'enier#s Hir)+$

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R#&er( M!nnin'611891:7;

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Henr. !s-!r D!r". 6103915;

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!rner S(e!r( 4i$$i!%s 6181:31;In'enier# Civi$ e'res!# e $! Universi! e

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s#&re ir)+$i"!, en es-e"i!$ s#&re -res!s &>ve!,-$!n(!s ir#e$="(ri"!s . e$ es!rr#$$# e $!s (!&$!se $! e"+!"i>n e H!/en94i$$i!%s

Es(+v# !$


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Hidrulica de los conductos

!r! !$"!n(!ri$$!#s $#s "#n+"(#s s#n "err!#s . sin -resi>n s#nK

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CONDUCTOS DE SECCIN CIRCULAR

E$e%en(#s ir)+$i"#s

e "#n+"(#s e se""i>n"ir"+$!r

I Es()(i"#s# e


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E$e%en(#s es()(i"#s # e n "ir"+$!r


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Flujo a seccin parcialmente llenaElementos estticos. ECUACIONES, CLCULO DE

R*ICAS(Todos los elementos los denominaremos con letra minscula

r#


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re! %#!! ! re! se"(#r "ir"+$!r OAEB P re! (ri)n'+$# OAB

rea seccin circular

rea seccin triangular


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re! %#!!


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re! %#!!

re! (ri!n'+$#


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re! %#!!

Q


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R!i# ir)+$i"#


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Flujo a seccin llenaElementos estticos

(Todos los elementos los denominaremos con letra ma

Proundidad6D;,

Permetro mojado 6;,

rea mojada 6A;,

!adio "idrulico 6R;,


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Re$!"i#nes !i%ensi#n!$es en(re $! s-!r"i!$%en(e $$en! . $$en! 6E$e%en(#s

Proundidad


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Re$!"i#nes !i%ensi#n!$es en(re $! se-!r"i!$%en(e $$en! . $$en! 6E$e%en(#s e

rea mojada


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Re$!"i#nes !i%ensi#n!$es en(re $! s-!r"i!$%en(e $$en! . $$en! 6E$e%en(#s

Permetro mojado


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Re$!"i#nes !i%ensi#n!$es en(re $! s-!r"i!$%en(e $$en! . $$en! 6E$e%en(#s e

!adio "idrulico


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T!&$! res+%enRe$!"i#nes !i%ensi#n!$es en(re $! se""

-!r"i!$%en(e $$en! . $$en! 6E$e%en(#s es()

!elacinadimensional

#rados se$agesimales !adiane

r#


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T!&+$!"i>n e re$!"i#nes !i%enr!#s 6;R!i!nes

r!#s 6; D !A - rR

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031 1 00081553 000012 005 0018383082 38 002717 00085107 01 0085107

0:2 5 005:87 002120:5 015 0118083

1257 72 00:5:15 008385 02 0231732

1571 :0 018881 00:0508 025 0383302

15 10 020810737 018385 03 0:5

21:: 128 02730075 022120:5 035 0832118:

2513 1 035:15 03085107 0 07881278

227 182 0217277 00012 05 0:0707

312 10 05 05 05

358 1: 05721723 05::115 055 10:210

3770 218 085505 08:35:3 08 1155:1

0 23 0728::525 07775:05 085 11:0:0

3: 252 07:3:283 05138535 07 12182382

712 270 0535533: 0:0:15: 075 12122085

5027 2 0:0505 0:5138535 0 11:2088

531 308 0:550328 0:775:05 05 115112

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5:8: 32 0::317 0:::115 0:5 10517700

823 380 1 1 1

C+rv!s e re$!"i#nes !i%ensi#n!$es 6D; vers+s 6!A;


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C+ !s e e !" # es ! e s # ! es 6 ; e s+s 6! ;

!elaciones adimensionales elementos estticos o de orma. !elacin (d%&) 'ersus (a%)

D ve rs +s !A D ve rs +s -

D vers+s rR

E$e%en(#s in)%i"#s # e


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E$e%en(#s in)%i"#s # e n -!r"i!$%en(e $$en!

C#nsier!"i#nes

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L!s e"+!"i#nes, $#s v!$#res . 'r)"!s ?+e se %+es(r!n ! "#n(in+!"i>n 6("+en(! e$ "#e"ien(e e r+'#si! e M!nnin'; re-resen(!n $#s "!s#s #. 6nN; X 1 Es e"ir $! re$!"i>n en(re e$ "#e"ien(e e r+'#si! e M!n! se""i#nes -!r"i!$%en(e $$en! . $$en!

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e$#"i! en n e$ )n'+


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e$#"i! en n e$ )n'+


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C!+!$ en


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C!+!$ en


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Re$!"i#nes !i%ensi#n!$es e e$e%en(#sen(re se""i>n -!r"i!$%en(e $$en! . $$en!

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'M!nnin'

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' 6 ; 6 U(i$i/!%#s $#s v!$#res !n(eri#r%en(e -resen(!#s en $! (!&$! e 6n

es(i%!r +n! e"+!"i>n ?+e inv#$+"re es(!s #s re$!"i#nes !i%ensi+s# e C+rveE-er( r#


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!r(i"+$!ri!es e $! "+rv

EcuacinK

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RZ0 ::58

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R 0::58Desvi!"i>n es()n!r00:31

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!$#res e $!s re$!"i#nes


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!$#res e $!s re$!"i#nes!i%ensi#n!$es -!r! e$ "!s# 6n

n%8,7

9:#rados; 9 :rad; d%& a% p%P r%! '%< =%> t%T

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1 0312 00082 0000 0050 0018 0085 00001 001

38 0823 0025 00085 0100 0085 0180: 00010 008

5 0:25 0055 00212 0150 0118 02717 0005 01

72 12588 00:55 008 0200 0232 03:8 001: 02

:0 1570 018 00:0 0250 0383 050:2 0083 038

10 150 02081 018 0300 0:5 08281 00:31 0:

128 21::1 02730 02212 0350 08321 07385 01830 083

1 25133 0355 03085 000 07881 0373 02588 078

182 227 021 000 050 0:07 0:257 03711 0:

10 3118 05 05 0500 1 1 05 1

1: 355 0572 05::2 0550 10: 105 083 10

218 378:: 0855 08:35 0800 1155: 1101 0783: 115

23 01 07270 077 0850 11:1 1120 075 11:

252 3:2 07:3: 051 0700 12182 113: 0:701 121

270 712 0538 0:0:2 0750 12122 1138: 10338 121

2 50285 0:05 0:51 000 11:2 11225 1087: 11

308 5307 0:55 0:7 050 11515 10:8 10753 115

32 585: 0:755 0::35 0:00 1103: 1081 10813 110

32 5:8:0 0::3 0:::2 0:50 1051 1032 1033 105

380 8232 1 1 1000 1 1 1 1

C+rv! e re$!"i#nes !i%ensi#n!$es e ) )


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ir)+$i"#s in)%i"#s -!r! 6nN;

!elaciones Elementos "idrulicos &inamicos :n%8,7;

?Y (T v

!r! $! re$!"i>n 6Nn; vers+s 6D; se #&(+v# e!+s(e e "+rv! "#n +n -#$in#%i# e 'r!


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!+s(e e "+rv! "#n +n -#$in#%i# e 'r!


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E"+!"i>n e "+rv! e !+s(e -!re$!"i>n 6Nn; vers+s 6D;

RZ0::7

Desvi!"i>n es()n!r 00:0

T!&$! e v!$#res -!r! re$!"i#n


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-!i%ensi#n!$es "#nsier!n# 6nN

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38 0823 38 0025 11232 03: 1131

5 0:25 5 0055 1182 050 11710

72 12588 72 00:55 1210 0237 1211

:0 1570 :0 018 12507 07::7 12505

10 150 10 02081 12728 0758 1272:

128 21::1 128 02730 127: 071 127:1

1 25133 1 0355 1272 0782 12720

182 227 182 021 12578 07:58 1258:

10 3118 10 05 1232 007: 1237

1: 355 1: 0572 12181 0221 1218

218 378:: 218 0855 11:1 03 11:21

23 01 23 07270 11838 05:0 1181

252 3:2 252 07:3: 11328 030 11325

270 712 270 0538 10::7 0:0:: 10::0

2 50285 2 0:05 10878 0:375 10887

308 5307 308 0:55 103:1 0:82: 1035

32 585: 32 0:755 10170 0:3 1018:

32 5:8:0 32 0::3 10031 0::88 1003

380 8232 380 1 0::3 10012 0::

L!s "#$+%n!s s#%&re!!sen !%!ri$$# "#rres-#nen !$#s v!$#res "!$"+$!#s "#n$!s e"+!"i#nes e !+s(e-resen(!!s!n(eri#r%en(eL! "#$+%n! s#%&re!! enn!r!n! s#n $#s v!$#res e6nN; "!$"+$!#s ! -!r(ir e$! "+rv! e !+s(e e6Nn;

Es e"ir 6nN; N>(ese?+e $#s v!$#res e nN e$! "#$+%n! en !%!ri$$# s#n%+. si%i$!res ! $#s v!$#rese $! "#$+%n! en n!r!n!

C+rv! e re$!"i#nes !i%ens6 N; X 1


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-!r! 6nN; X 1

!elaciones adimensionales de elementos dinmicos o de

+n(#s "r(i"#s re$!"i#nes en(re


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e$e%en(#s ir)+$i"#s es()(i"#s #

!elaciones entre reas permetros y

"idrulicosA &e las cur'as de !elaciones adimensionales elemento

o de orma !elacin (d%&) 'ersus (a%) (p%P) (r%!) se=ueA

E$ %)i%# se !$"!n/! "+!n# $! re$!"i>n D1 # , es e"ir

E$ %ni%# se !$"!n/! "+!n# # , es e"ir


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C$imo !elacin entre radios "idrulicosA

#r (!n(# e$ -+n(# %)i%# se -resen(!r) "+!n# En(#n"e


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UNTOS CRITICOS9RELACIONES DE LOS ELEMHIDRULICOS DINAMICOS 6nN1;

Mni%#s vv, ?? . (( -!r! 6nn1,0;

En $! 'r)"! se #&serv! ?+e $#s v!$#res %ni%#s -!r! $!s"+!n# nN1,0 se !$"!n/! "+!n# $! re$!"i>n e -r#


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M)i%#s vv, ?? . (( -!r! 6nn1,

M)i%# Re$!"i>n e ve$#"i!esK

#r (!n(# e$ -+n(# %)i%# se -resen(!r) "+!n# En(#n"e


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M)i%# Re$!"i>n e "!+!$esK

M)i%# Re$!"i>n e


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HIDRULICOS DINAMICOS 6nNX1;

Mni%#s vv, ?? . (( -!r! 6nnX1,0

L#s %ni%#s -!r! $!s re$!"i#nes "+!n# nNX1,0 se $#'r!n e i'"+!n# nN1, es e"ir, e$ v!$#r %ni%# se "#nsi'+e "+!n# -r#n ?+e e-rese$!s re$!"i#nes en(re $#s "#e"ien(es e M!nnin' en n er!K

C$imo !elacin de 'elocidadesA


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C$imo !elacin de 'elocidadesA


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E$ -+n(# %)i%# es(!r) !# -#r As -+esK

S+s(i(+.en#, (ene%#sK

Re$!"i>n e "!+!$esK


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E$ -+n(# %)i%# se -resen(!r) "+!n# En(#n"esK

M)i%# Re$!"i>n e


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De(er%in!"i>n e $!s e-resi#nes


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HIE83JJCG

L! e"+!"i>n e H!/en94i$$i!%s es(!&$e"e $# si'+ien(eK

Se #&(ienen $!s e-resi#nes e $#s "#e"ien(es e r+'#si!$!s ve$#"i!esK

A$ iviir $!s e-resi#nes #&(ene%#sK

T!&$! e v!$#res 6


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. ]r!#s^ ]r!^ D


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6


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re$!"i#nes 6n n "CK

C#e"ien(es e D!r".94eis&!


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e$#"i!es

!r!


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#r $# (!n(#K

!r! 6


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Re$!"i>n e C!+!$es

C#e"ien(es e H!/en94i$$i! !elacin de 'elocidades


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!r! 6"C;10

!r! 6"C; X 10

!elacin de caudales

Sien# `

!elacin de caudales


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!r! 6"C;10

!r! 6"C; X 10

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6?Y; (!n(# -!r! D 4 . H 4!$#res e 'r!#s, -r#


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%F,c%*,7

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$#s "#e"ien(es 6"C; . 6


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M)i%# .

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C$ima !elacin =%> para %F,7A


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C$ima !elacin =%> para c%*,7A

E"+!"i#nes e re$!"i#nes en(re $#s "#e"r+'#si! M!nnin', D!r".94eis&!" . H!/e


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!elaciones (%F) y (n%8)

Se #&(+v#K

L+e'#K

!elaciones c%* y n%8A

Se #&(+v#KK


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Se #&(+v#KK

De es(!


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L+e'#K

*#r%+$!"i>n e +n! e"+!"i>n -!r!


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Canning K en gradosA

K en radianesA

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360

1801

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K en radianesA

( ) ( ) ( )( )

( ) ( ) ( )( )

++=

++=

18019967,0109636,4106433,2105126,3

18019967,0109636,4106433,2105126,3

132538

132538

Q

q

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v

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++=

19967,0102844,0106776,8106070,6

19967,0102844,0106776,8106070,6

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132233

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9 (L)9

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- 0 ineni# ineni# ineni#

1 0,07288 0,322301 0,000008 0,32:028

7- 0,17533 0,3:7102 0,000058 0,187

71 0,2817:: 0,5211 0,000211 0,72:8

6- 0,3:088 0,0817 0,00053: 0,5217::

61 0,38332 0,508: 0,001110 0,58178:

2- 0,5235:: 0,53131: 0,001::8 0,5:8552

M- 1,071: 0,8187 0,01733 0,7887

- 1,5707:8 0,873132 0,081151 0,77

76- 2,0:3:5 0,71:025 0,10570 0,:1:10

71- 2,817:: 0,783020 0,257208 0,:852:37N- 3,115:3 0,0731 0,03871 1,000000

67- 3,8851:1 0,521 0,58:22 1,02152

60- ,17:0 0,:832 0,72113 1,03117

6/- ,7123: 0,:37535 0,52385 1,0325:

2-- 5,235: 0,:72058 0,:027 1,0253:

22- 5,75:57 0,::583 0,::1725 1,013:71

2M- 8,2315 1,003137 1,003137 1,000000

r)"!s 6v; ers+s 6?Y; -!r!"#ni"i#nesK re!$ . (e>ri"!


81/145

#rOca ('%ri"!


82/145

E"+!"i>n "#ni"i>n re!$K

E"+!"i>n "#ni"i>n (e>ri"!K

21

6578,01598,04847,0

Q

q

Q

q

V

v+=

21

3144,18128,05078,0Q

q

Q

q

V

v+=

&arcy3eisBac" K en gradosA

( ) 180 2

12

1

senfv


83/145

K en radianesA

( )

( )

=

=

360

1801

1801

23

21

sen

F

f

Q

q

sen

F

f

V

v

( )

( )

=

=

1801

1

2

3

2

1

21

21

rad

rad

radsen

F

f

Q

q

rad

radsen

F

f

V

v


84/145

T!&$! e v!$#res -!r! 6v; vers+s 9 (L)

9(radianes)

'%< !eal =%> !eal '%< Teorica


85/145

- 0 Ineni# Ineni# Ineni#

1 0,07288 0,011 0,00000 0,01172

7- 0,17533 0,0227 0,00000 0,02:51

71 0,2817:: 0,0750 0,00002 0,05081

6- 0,3:088 0,082 0,0000 0,0713

61 0,38332 0,0:01 0,00020 0,0::5:

2- 0,5235:: 0,1120 0,0002 0,12885

M- 1,071: 0,25725 0,0072 0,310:

- 1,5707:8 0,0577 0,0388 0,50:22

76- 2,0:3:5 0,55085 0,10785 0,70087

71- 2,817:: 0,8830 0,2313 0,82

7N- 3,115:3 0,073 0,0387 1,00000

67- 3,8851:1 0,:05 0,80222 1,0::

60- ,17:0 0,:8: 0,7:21: 1,1337

6/- ,7123: 1,03223 0,:38 1,138:

2-- 5,235: 1,0:37 1,01:11 1,1073

22- 5,75:57 1,03777 1,033 1,05707

2M- 8,2315 1,0031 1,0031 1,00000



86/145

#rOca ('%ri"!



87/145

E"+!"i>n "#ni"i>n (e>ri"!K2/1

2/1

004,20928,11562,0

5470,16121,00948,0

Q

q

Q

q

V

v

Q

q

Q

q

V

v

+=

+=

&arcy3eisBac" K en gradosA

( )

=

1801

10063

sen

C

c

V

v


88/145

K en radianesA

C#%-$e%en(!ri!%en(e se eni> ! 6"C; "#%#

( )

=

360

1801

100163

sen

C

c

Q

q

CV

( )

( )

=

=

1801

1

100163

10063

rad

rad

radsen

C

c

Q

q

rad

radsen

C

c

V

v

( ) ( ) 300111300

111

sin1;

sin1801

=

=

rad

rad

N

n

C

c

N

n

C

c



89/145

#rOca ('%ri"!


2/1


90/145

E"+!"i>n "#ni"i>n (e>ri"!K2/1

2/1

004,20928,11562,0

5470,16121,00948,0

Q

q

Q

q

V

v

Q

q

Q

q

V

v

+=

+=

Mis%! n ! "+!$?+ier -r#


91/145

srt = SRT =

rts

= R

TS

=

==

=

R

rS

s

R

r

R

T

r

t

S

s 11

!r! a en 'r!#sK

9 (L) d%& s%G

0 0

5 0 000 7 1735

9 (L) d%& s%G

0 0

0 000 3

= )(180

1

1

senS

s


92/145

!r! a en r!i!nesK

5 0,000 7,1735

10 0,001: 1:7,2882

15 0,002 7,20

20 0,0078 :,5305

25 0,0115 31,1830 0,0170 22,175

80 0,088:: 5,7012

:0 0,185 2,751:

120 0,25 1,70502

150 0,3705: 1,23807

10 0,5 1

210 0,82:1 0,7::8

20 0,75 0,287270 0,5355 0,2:

300 0,:3301 0,50

330 0,:2:8 0,:2012

380 1 1

5 0,000 7,1735

10 0,001: 1:7,2882

15 0,002 7,20

20 0,0078 :,5305

25 0,0115 31,1830 0,0170 22,175

80 0,088:: 5,7012

:0 0,185 2,751:

120 0,25 1,70502

150 0,3705: 1,23807

10 0,5 1

210 0,82:1 0,7::8

20 0,75 0,287270 0,5355 0,2:

300 0,:3301 0,50

330 0,:2:8 0,:2012

380 1 1

)(1

=

)(1

1

senS

s

C+rv! e re$!"i#nes !i%ensi#n!$es 6s6D;

*ur'a !elaciones dimensionales d%&


93/145

*ur'a !elaciones dimensionales d%&


94/145

Ree%-$!/!n# 6sS;K

en r!i!nesK

2/13/2

2/1

3/2

3/2

2/13/2

3/2

3/2

)(1801

4

)(1801

4

=

=

S

ssen

V

v

NSD

n

ssenD

V

v

2/1

3/2 )(1801;

)(1801

1)(1801

=

=

sen

V

v

sen

sen

V

v

6/1)(

1

=

rad

radsen

V

v

!r! 6nN;, Re$!"i>n e "!+!$esK

2/13/8

2/13/5

3/2

3/8 )(1801

41440

=SD

n

ssenD

Q

q


95/145

!$ s+s(i(+ir 6sS;, #&(ene%#sK

en r!i!nesK

2/13/5

3/2

)(1801

360

44

=

S

ssen

Q

q

N

SDQ

6/7

2/1

3/5

)(1801

360

)(1801

1)(1801

360

=

=

sen

Q

q

sen

sen

Q

q

6/7)(

1180

=

sen

Q

q

T!&$! e v!$#res -!r! v . ?Y "6nN;10


96/145

9 (L) d%&

*aso (n%8),7-

v ?Y

0 0 0 030 0,0170

0,5:855 0,0022

80 0,088:

:0,787 0,0215

2:0 0,18

50,75 0,0787

120 0,25 0,:1:1 0,17

7150 0,3705

:0,:852: 0,3253

:10 0,5 1 0,5210 0,82:

1

1,0215 0,8771

:20 0,75 1,0312 0,301270 0,535

51,0325: 0,:37

:300 0,:330

11,025 0,::82

8330 0,:2:

81,013:7 1,0101

8380 1 1 1

C+rv! -!r! $!s re$!"i#nes v . ?YD "#n 6nN;10


97/145

!elaciones ('%) en uncin de d

RD Is vRI C#n nRNO130 RD Is ?RY C#n nRNO130

(%F),7.- C!s# 6


98/145

Ree%-$!/!n# ! 6sS;, (ene%#sK

en r!i!nesK

2/1

2/1

2/1

)(1801;

4

8

4

=

=S

ssen

V

v

SD

F

g

f

V

v

1;)(180

1

1)(1801

2/1

2/1

=

=V

v

sen

sen

V

v

1=V

v

!r!6


99/145

S+s(i(+.en# ! 6sS;, se $$e'! ! ?+eK

en r!i!nesK

2/12/3

2/1

)(1801

360

44

=

S

ssen

Q

q

F

=

=

)(1801

360

)(1801

1)(1801

360

2/1

2/3

sen

Q

q

sen

sen

Q

q

=

)(1

180

sen

Q

q

T!&$! e v!$#res e v . ?Y -!10 6;

D

C!s# 6


100/145

v ?Y

0 0 1 0

30 0,0170 1 0,00378

80 0,088:: 1 0,023

:0 0,185 1 0,0:05

120 0,25 1 0,1:55

150 0,3705: 1 0,3370:

10 0,5 1 0,5

210 0,82:1 1 0,882:1

20 0,75 1 0,05

270 0,5355 1 0,:0:15

300 0,:3301 1 0,:7117

330 0,:2:8 1 0,::82

380 1 1 1

C+rv! -!r! $!s re$!"i#nes v . ?YD "#n 6


101/145

#rOcas de '%< y =%> en uncin de d%&

D s v C#n


102/145

S+s(i(+.en# ! 6sS;, se #&(ieneK

en r!i!nesK

54.063.0

54.0

63.0

63.037.012.0

)(180

1

43048.010

=

S

ssen

V

v

SD

CV

09.0

54.0

63.0

)(1801

)(1801

1)(1801

=

=

senVv

sen

sen

V

v

09.0)(

1

=

sen

V

v

!r! 6"C;10, Re$!"i>n e "!+!$esK

443048.010

)(1801

43048.010

254.0

63.0

63.037.012.0

54.0

63.1

63.0

63.037.012.0

=D

SD

C

ssenD

c

Q

q


103/145

S+s(i(+.en# ! 6sS;, #&(ene%#sK

en r!i!nesK

|)(180

1360

4454.063.1

=

S

ssen

Q

q

09.1

54.0

63.1

)(180

1360

)(1801

1)(1801

360

=

=

sen

Q

q

sen

sen

Q

q

09.1)(

1180

=

sen

Q

q

T!&$! e v!$#res e v . ?Y -!r!9 (L) d%&

*aso(c%*),7-'%< =%>


104/145

'%< =%>

0 0 0 0

300,0170

0,7585

70,002

80 0,088::

0,53:

0,0282

:00,18

50,:12:

20,02:

3

120 0,250,:531

10,183

3

1500,3705

:0,:11

10,3307

2

10 0,5 1 0,5

2100,82:

11,0115

0,8705

20 0,75 1,01708

0,122

2700,535

51,017

70,:250

3000,:330

11,013

70,:8

3300,:2:

81,0075

21,0037

380 1 1 1

C+rv! -!r! $!s re$!"i#nes v .vers+s D "#n 6"C;10


105/145

!elaciones '%< y =%> 'ersus d%&

D Is vI C#n "CO130 D Is ?Y C#n "CO130

(n%8)X 7.- (


106/145

Se ! %#s(r!# !n(eri#r%en(e ?+eK

Ree%-$!/!n# ! 6sS; -#r s+ e-resi>n, (ene%#sK

en r!i!nesK

nSV

= nN

S

ssen

Q

q 2/13/5

)(180

1360

= n

NsenVv

6/1

)(1801

=

senQq

)(1801360

=

n

Nsen

V

v 6/1

)(1

=

sen

Q

q

)(1

180

T!&$! e v!$#res e v . ?Y -!r! n

9 (L) d%&*aso (n%8)Q7-

'%< =%>


107/145

0 0 0 0

30 0,0170 0,53132 0,002

80 0,088:: 0,817 0,0173

:0 0,185 0,87313 0,08115

120 0,25 0,71:02 0,1057

150 0,3705: 0,78302 0,25721

10 0,5 0,073 0,0387

210 0,82:1 0,521 0,58:2

20 0,75 0,:83 0,7211

270 0,5355 0,:375 0,5238

300 0,:3301 0,:7208 0,:03

330 0,:2:8 0,::58 0,::172

380 1 1,0031 1,0031

C+rv! -!r! $!s re$!"i#nes v . ?YD "#n 6nN;10

#rOcas de '%< y =%> en uncion de d%&


108/145

#rOcas de '%< y =%> en uncion de d%&

D s v C#n nNX10 D s ?Y C#n nNX10

(%F)X 7.- (


109/145

A$ ree%-$!/!r 6


110/145

30 0,0170 0,53132 0,002

80 0,088:: 0,817 0,0173

:0 0,185 0,87313 0,08115

120 0,25 0,71:02 0,1057

150 0,3705: 0,78302 0,25721

10 0,5 0,073 0,0387

210 0,82:1 0,521 0,58:2

20 0,75 0,:83 0,7211

270 0,5355 0,:375 0,5238

300 0,:3301 0,:7208 0,:03

330 0,:2:8 0,::58 0,::172

380 1 1,0031 1,0031

C+rv! -!r! $!s re$!"i#nes v . ?D "#n 6


111/145

!elaciones '%< y =%> 'ersus

D s v C#n


112/145

!r! ve$#"i! . "!+!$ (ene%#sK

N

n

sen

C

c

N

n

S

s

sen

C

c

C

c

S

ssen

N

n

S

30/23

04.0

300/11

54.063.0

)(1801

)(1801

)(1801

)(1

=

=

=

T!&$! e v!$#res e v . ?Y -!r!

6; D C!s# 6


113/145

30 0,0170 0,53132 0,002

80 0,088:: 0,817 0,0173

:0 0,185 0,87313 0,08115

120 0,25 0,71:02 0,1057

150 0,3705: 0,78302 0,25721

10 0,5 0,073 0,0387

210 0,82:1 0,521 0,58:2

20 0,75 0,:83 0,7211

270 0,5355 0,:375 0,5238

300 0,:3301 0,:7208 0,:03

330 0,:2:8 0,::58 0,::172

C+rv! -!r! $!s re$!"i#nes v . ?D "#n 6


114/145

!elaciones de '%< y =%> 'ersu

D s v C#n "CX10 D s ?Y C#n "CX1

Des!rr#$$# e +n! e"+!"i>n -!r! 6v


115/145

!r! e$$#, (ene%#s $#s v!$#res e $!s re$!"i#nes e 6sS; . 6?Y; K

Re$!"i>n ?Y Re$!"i>n sS

Re$!"i>n sS

6Te>ri"!;0000

001 3:38 3:27

0128 2073 2108

0237 182 15:

038 1187 112

0500 1000 0:75

083 0:00 0:5078: 0 08

08 022 07

0:78 03: 0:5

1000 1000 0:03

Re$!"i>n ?Y Re$!"i>n sS

Re$!"i>n sS

6Te>ri"!;0000

001 3:38 3:27

0128 2073 2108

0237 182 15:

038 1187 112

0500 1000 0:75

083 0:00 0:5078: 0 08

08 022 07

0:78 03: 0:5

1000 1000 0:03

L! e"+!"i>n ?+e %e#r re-rre$!"i>n esK

C+.!s "!r!"(ers(i"!s es(!s#nK&es'iacin EstndarA -*oeOciente !6A -./N

2

3838.03519.0

+=

Q

q

S

s

C+rv! -!r! sS en


116/145

0,000 3:,585:3

0,00:5 ,:28

0,0828 3,8:817

0,138: 2,00313

0,2:287 1,28::

0,50000 0,:181

0,721:1 0,7:52

0,:11 0,822

1,03381 0,8810

1,07550 0,857:7

1,05310 0,85:3

1,00000 0,88800

0,000 3:,585:3

sS s ?Y Te>ri"!

C!s# 6nK

L! e"+!"i>n en"#n(r!! es

qs


117/145

C#n $!s si'+ien(es -r#-ie!

&es'iacin EstndarA -.*oeOciente !6A -./N

5183.06317.0

+=

Q

q

S

s

C+rv! -!r! sS en ri"

T!&$! e !$#res

?Y sS


118/145

sS 9 Te>ri"#

0 Inni(#

0,052 3,:158:5181

0,12 2,1250:278

0,252 1,507127

0,37 1,101225:

0,5 0,:017153

0,828 0,73:37

0,7 0,7173:5271

0,5 0,8537111

0,: 0,8757:0:7

1 0,87373:

C!s# 6"C;10, C#%# en $#s "!s#s !n(eri#res, se (!&+$!n $#s !(#6?Y;, -!r! #&(enerK

=%> s%G s%G 3 Terico

0000 Inni(# Inni(#

L! e"+!"i>n ?+e re$!"i#n! ees $! si'+ien(eK


119/145

008 3:38 3:0:

0133 2073 213

02 182 11

038 1187 11

0500 1000 0:82

0832 0:00 08:

075: 0 01

073 022 081

0:83 03: 0:05

1000 1000 0:30

C#n $!s si'+ien(es -r#-ie!es(!s(i"!s K

&es'iacin EstndarA -.-

*oeOciente !6

A -./N

3

92.03999.03926.0

+

+=

Qq

Q

q

S

s

C+rv! -!r! sS en


120/145

sS 9 Te>ri"#

=%> s%G

0 Inni(#

0,08 3,:0:15

0,133 2,13:750

0,2 1,25

0,38 1,1:858

0,5 0,:5112

0,832 0,313:

0,75: 0,757::0

0,73 0,718055

0,:83 0,8:50:3

1 0,8:101

!ri!"i>n e $!s re$!"i#nes 6nN6"C; . $! re$!"i>n sS vers+s

A$ "#nsier!r ?+e $!s re$!"i#nes e $#s "#e"ien(es e r+'#si!#&(iene $! si'+ien(e e"+!"i>n -!r! 6sS; en


121/145

=%> s%Gs%G 3

Terico

0000 Inni(# Inni(#

003 3:38 3:08

00:: 2073 21

018 182 10

02: 1187 115

00 1000 0:82

0527 0:00 08

0858 0 038

075 022 050

0:0 03: 0:

1003 1000 0:5

C#n $!s si'+ien(es -r#-ie!es es(!s(

&es'iacin EstndarA -.-0/0*oeOciente !6A -.N7

2/1

2

7871.05273.03629.0

+

+=Q

qQ

q

S

s

C+rv! -!r! 6sS; vers+s 6?Y;, -!r6nN;, 6


122/145

*ur'a !eal s%G (!uTaBla de s%G

0 Inni(#

0,03 3,:0528

0,0:: 2,13:317

0,18 1,835

0,2: 1,10878

0,0 0,82

0,527 0,73:725

0,858 0,8373:2

0,75 0,58828:

0,:0 0,5178:5

1 0,:823


123/145

Gntesis

E$e%en(#s ir)+$i"#s es()(i"#s


124/145

E$e%en(#s ir)+$i"#s in)%i"#@+#


125/145

M)i%#s e re$!"i#nes !i%ensi#-!r! e$e%en(#s ir)+$i"#s es()(i"#


126/145

M!nnin'


127/145

M)i%#s e re$!"i#nes !i%ensi#n!e$e%en(#s in)%i"#s

6sS;1 . 6(T;X1

M!nnin', 6nN;1


128/145

M!nnin', 6nN;1


129/145

M)i%#s . %ni%#s e re$!"i#n


130/145

M)i%#s . %ni%#s e re$!"i#n

!i%ensi#n!$es -!r! e$e%en(#s in)6sS; X1 . 6(T;1

M!nnin', 6nN;1


131/145

M!nnin', 6nN; 1


132/145

H!/en94i$$i!%s


133/145


6sS;1 . 6(T;X1

H!/en94i$$i!%s 6"C;1


134/145

H!/en94i$$i!%s 6"C;1


135/145


136/145

M)i%#s . %ni%#s e re$!"i#nes !i%ens-!r! e$e%en(#s in)%i"#s6H94;6sS; X1 . 6(T;1

H!/en94i$$i!%s 6"C;1


137/145

H!/en94i$$i!%s 6"C;1


138/145

D!r".94eis&!"


139/145


6sS;1 . 6(T;X1

D!r".94eis&!" 6


140/145

D!r".94eis&!" 6


141/145

M)i%#s . %ni%#s e re$!"i#


142/145

M)i%#s . %ni%#s e re$!"i#

!i%ensi#n!$es -!r! e$e%en(in)%i"#s6D94;6sS; X1 . 6(T;1

D!r".94eis&!" 6


143/145

D!r".94eis&!" 6


144/145

A$'+n#s M!(eri!$es


145/145

ALCANTARILLADOS_Tarea_1

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Transcript of ALCANTARILLADOS_Tarea_1