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    UNIVERSIDAD NACIONAL DEL ALTIPLANO

    ACULTAD DE CIENCIAS AGRARIAS

    ESCUELA PROFESIONAL DE INGENIERIA TOPOGRFICA Y AGRIMENSURA

    PRACTICA ENCARGADO :

    DIFERENCIAS DE LAS PRDIDAS DE CARGA

    CURSO:

    ABASTECIMIENTO DE AGUA Y ALCANTARILLADO

    DOCENTE:

    ING. EDWIN YANQUI

    PRESENTADO POR:

    ALMANZA QUIPE JOSE ANGEL

    SEMESTRE: VII

    PUNO-PER

    2016

    INDICE:Pag.

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    I. DETERMINACIN DE LAS PRDIDAS DE CARGA..........................................3

    1.1 I. PRDIDAS DE CARGA FRICCIONALES................................................3

    II. DARCY-WEISBACH.............................................................................................3

    2.1 Defii!i"......................................................................................................#2.2 F"$%&'( )ee$('............................................................................................#

    2.3 L( *+$,i,( ,e !($)( *-$ $&)-i,(, /i,$0&'i!(...............................................

    2.# F(!-$ ,e f$i!!i"..........................................................................................

    2.#.1 P($( f'&- '(%i($e.........................................................................

    2.#.2 P($( f'&- e $(i!i" 4 &$5&'e-..................................................

    III. MANNING (Tuber! ""e#!$.................................................................................... %

    3.1 COEFICIENTE DE MANNING......................................................................63.2 ANTECEDENTES.........................................................................................6

    3.3 CONCEPTOS APLICADOS..........................................................................6

    3.3.1 R&)-i,(, ,e '( &*e$fi!ie................................................................7

    3.3.2 8e)e(!i".........................................................................................7

    3.3.3 I$$e)&'($i,(, ,e' !(('.......................................................................7

    3.3.# A'ie(%ie- ,e' !(('......................................................................7

    3.3. Se,i%e(!i" 4 e$-i"...................................................................73.3.6 O5$&!!i".......................................................................................7

    3.# DETERMINACI9N DEL COEFICIENTE DE RUGOSIDAD MANNING........:

    I&. HA'EN-WILLIAMS............................................................................................))

    #.1 8('-$e *($( e' !-efi!iee C......................................................................12

    &. BIBLI*GRAFIA...................................................................................................)3

    I. DETERMINACIN DE LAS PRDIDAS DE CARGA

    2

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    I.1 I. PRDIDAS DE CARGA FRICCIONALES

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    L( e+u!+,# e D!r+/-We,0b!+1e &( e!&(!i" (%*'i(%ee &(,( e /i,$0&'i!(.Pe$%ie e' !0'!&'- ,e '( *+$,i,( ,e !($)(,e5i,( ( '( f$i!!i",e$- &( &5e$ '-)i&, ,e '( &5e$ ,i0%e$- ie$- ,e '( &5e$ e'-!i,(, %e,i( %K

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    II.( L& )*"+i+& +e c&"'& )," "$',i+&+ i+"/$%ic&

    P($( !-%*$e,e$ e' !-!e*- ,e R&)-i,(, i,$0&'i!( e ,e5e !-i,e$($ '(i)&iee -5e$(!i-e>

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    III. MANNING 5T$4e"6& %%en&7

    III.1 COEFICIENTE DE MANNING

    III.! ANTECEDENTES

    E e' (- 1:: e' i)eie$- i$'(,+ R-5e$ M(i) *$ee" *-$ *$i%e$( e='( e!&(!i" ,&$(e '( 'e!&$( ,e & ($

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    L( e!&(!i" ,e M(i) e e' $e&'(,- ,e' *$-!e- ,e & (&e ,e !&$( 4*-$ (- e !-%*'e(%ee e%*

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    P&e,e e$ i( !-%- &( !'(e ,e $&)-i,(, &*e$fi!i('. Ee efe!- ,e*e,e*$i!i*('%ee ,e '( ('&$( ,ei,(, ,i$i5&!i" 4 i*- ,e e)e(!i" 4 e%&4 i%*-$(e e e' ,ie- ,e !(('e *e;&e- ,e ,$e(e 4( ;&e *-$ '-!-% +- - $e!i5e %(ei%ie- $e)&'($.

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    P($( !('!&'($ e-!e e' !-efi!iee ,e $&)-i,(, ne ,i*-e ,e (5'(!-%- '( *&5'i!(,( *-$ e' U.S De*($(%e -f A)$i!&'&$e e 1 C/- 14 &( e$ie ,e f--)$(f

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    E!(!/(,- 2?3

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    27?33

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    #. POSADA M. J(ie$ E,&($,-. Determinacin del Coeficiente de Rugosidaden Canales Naturales. F(!&'(, ,e %i(. Uie$i,(, N(!i-(' ,e C-'-%5i(.Me,e''