EXAMEN PARCIAL
PROBLEMA Nº 01. Se desea conocer el volumen de sedimentos a acumular por un embalse al inal de su vida !til "100 a#os$ Este embalse se %alla a&uas deba'o del tramo de un r(o. )l *rea de drena'e "+ona resindeal suburbana$ es de 1, -m, tiene un tiempo de concentraci/n de 0., %oras A la serie serie de 0 intensidades intensidades de lluvia m2ima anuales para 1 minutos minutos de duraci/n duraci/n se le %a a'ustado a'ustado un modelo LN34 con parmetros 5lo&i 6 1.784 9lo&i6 1.0 a6,. n60.0,: Peso espec(ico a&ua 1000 -&;m3 9ensidad del material de lec%o ,<00 -&;cm3 =iscosidad cinemtica 10>? 30 m S60.,@ 1 3 Soluci/n Media 9es.E. a r
1.78 1.0 ,. 100 Tr=
sabiendo ueC P e2c 6 P no e2c6
1;100 6 1?P e2c 6
z = f ( Pexc)
0.01 0.77
=DISTR.N =DISTR.NORM ORM.EST .ESTAND AND.INV( .INV(0,99 0,99))
D 6 ,.3, ,.3,<3 <3: :8 8: :
6 m F + s 6 1.78F,.3,<3G1.0 6 :.:,,<<,<
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6 ln "2 ? a$ 2?a6 2?a6 26 H6
e "$ 83.318 8.818 8.818 m3;s.
Lue&o para encontrar el tirante4 por consi&uiente su rea %idraulica4 su perimetro mo'ado su radio %idraulico4 se procedeC
Maning :
dondeC
A: n:
Área hidraúlica Coefciente de rugosidad
!h:
!adio hidraúlido
":
#endiente del r$o
Z*Y^2 0.02
0.0002
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Jaudal Area Kidraulica Per(metro mo'ado Radio Kidrulico Altura Anc%o medio =elocidad media &asto liuido unitario Pendiente t0
'+s 2
Peso espec(ico =iscosidad cinematica
/g1+'
, A # ! Y A=A+Y -=,+A ,+A " #e!"
8.818 31.3<3 1.10 1.1 3.7< .7, ,.3< 10.83< 0.001: ,.:7:
#e %c
1000 0.00001 1.< ,<00 ,<00
#e sol#e3+#e3
D
Peso Espec(ico s/lido 9ensidad
/g /g1+' /g+'
9esviaci/n estndar 9m d:0 d0
#e sol. 4
1.0 1.138 0.< 0.8
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7.<< -&;se&. -&;se&. Para 1 min 6 8<7.0,0 - & Por Por a#o6 #o6 :3: :3:0 0.7 .78 8< -& Para Para 100 100 a#os a#os "vid "vida a !til$ !til$6 6 :3:0 :3:078. 78.<18-& <18-& :3:.07 :3:.077 7 n. esta corre&ido corre&ido pre&unta 0, PROBLEMA Nº 0,. Jalcular la altura de la presa para un embalse cua rea de drena'e ue lo alimenta es de 8 -m, cuo coeiciente de escurrimiento es de c6 0.: "considerar la misma precipitaci/n para el rea de drena'e el embalse el volumen de sedimentos asumirlo$
MES ENERO EB. MAR. ABR. MA. 5N. 5L. AO. SE. OJ. NO=. 9IJ.
Presipitaci/n "mm$ ,,8.7 ,3.: ,,.: 7. <., 3: 1,.1 :0.< 3 78.3 77.1 ,13 ,
Altura "m$
Area "m,$
::<3 ::<: ::< ::<< ::< ::<8 ::0 ::1 ::, ::3 ::: ::
3,7.037 ,<0.11 78.308 10,8<:.:<8 10:.88 ,<713.7: 07<7.11 <38:8:.1, 17<.78< 80,<,.88 831,01.1,3 7<703 :
MES ENERO EB. MAR. ABR. MA. 5N. 5L. AO. SE. OJ. NO=. 9IJ
Hec. "m3;s$ 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 01
Evapora. mm. 37.8 3.33 1.: 33.1, ,7.,7 ,.:7 :0.:1 :0.,1 3<.8 37.<3 :0.,, 37 <3
=ol. Jultiv. ,.1: ,.1< ,.1< 1.11 1.1, 1.1, 0 0.1 0.1 0.1 0.1 0 11
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EB. MAR. ABR. MA. 5N. 5L. AO. SE. OJ. NO=. 9IJ.
Altura "m$ ::<3 ::<: ::< ::<< ::< ::<8 ::0 ::1 ::, ::3
,7 31 30 31 30 31 31 30 31 30 31
,3.: ,,.: 7. <., 3: 1,.1 :0.< 3 78.3 77.1 ,13.,
.1 .,3 ,.,, 1.30 0.7 0.,8 0.7: 1.<7 ,.,8 ,.30 :.7
0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
3.33 1.: 33.1, ,7.,7 ,.:7 :0.:1 :0.,1 3<.8 37.<3 :0.,, 37.<3
Area "m,$
=olumen "m3$
=olumen "MMJ$ 0 0.0, 0.0: 0.08 0.1: 0.,, 0.8, 0.<0 0.<8 0
=A "MMJ$
Area "%a$
0 0.0, 0.0< 0.1: 0.,8 0.0 1.3, 1.7, ,.<0 3 3
0.3 ,.<< .77 10.,7 1.0 ,<.7 .10 <3.8 1.78 8 03
3,7.037 ,<0.11 78.308 10,8<:.:<8 10:.88 ,<713.7: 07<7.11 <38:8:.1, 17<.78< 80,<, 88
0 17:,.8< :,078.81 80:0<.: 138,8<.73 ,,1<0.3 8,,03.:, <0::1,.80 <817.: :7811 03
,.1< ,.1< 1.11 1.1, 1.1, 0 0.1 0.1 0.1 0.1 0.11
.7 .0, ,.331 1.3, 0.830 0.,7 0.771 1.8, ,.377 ,.:17 .,0:
=ol .31 .1 .,3 ,.,, 1.30 0.7 0.,8 0.7: 1.<7 , ,8
,.: ,.:: 1.:0 1.:1 1.37 0.,8 0.: 0.: 0.:< 0.:< 0.:1
3.3 3.0< 0.73 ?0.0: ?0.< 0.0, 0.: 1.33 1.7: 1.7< :.7
*rea "Ka$
*rea Mensual
7.< 78.1 7.3, 7.30 <.33 3.30 1.0 :3.,0 <1.,, <8.1,
0 7.8< 7.: 7.31 <.81 :<.81 ,. 30.: ,.,1 <:.<
<.3 7.8 10.1 10.: 7.71 7.73 10.: 11.80 13.: 1.0 ,0.:7
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vol operaci/n ,0.:7F,0.:7;3 ,.3,8,:<7 cota ondo ::<3 cota de operaci/n ::7.1<,,3 % presa 3,.1<,,333 9espuQs de reali+ar el Balance K(drico del vaso4 resulta mu peue#o dic%o vaso para la demanda necesaria.
PROBLEMA Nº 03. En la si&uiente presa calcular la subpresi/n en cimentaci/n por el mQtodo de LANE Peril del suelo &ravas cantos rodados. Jalculo de la uer+a de la subpresion
e2trapolacion .0
:: 3.3
,0.,
cal
10.:0
::80
,.33
2?:: ::7.1<,,
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