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7/21/2019 Diseño Estructural Reservorio 20 M3
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Capacidad de Reservorio
Nº Miemb. Pob. oblación futura par Qm (Lts) para Vol: 25%Qm (m)Vol: !%Qm (m)
"am. #"am. r$ r2 r r$ r2 r r$ r2 r
15 5 75 90 98 105 4500 4875 5250 2 2 2 2 2 2
15 6 90 108 117 126 5400 5850 6300 2 2 2 2 2 2
15 7 105 126 137 147 6300 6825 7350 2 2 2 2 2 3
20 5 100 120 130 140 6000 6500 7000 2 2 2 2 2 2
20 6 120 144 156 168 7200 7800 8400 2 2 2 3 3 320 7 140 168 182 196 8400 9100 9800 2 3 3 3 3 3
25 5 125 150 163 175 7500 8125 8750 2 2 3 3 3 3
25 6 150 180 195 210 9000 9750 10500 3 3 3 3 3 4
25 7 175 210 228 245 10500 11375 12250 3 3 3 4 4 4
30 5 150 180 195 210 9000 9750 10500 3 3 3 3 3 4
30 6 180 216 234 252 10800 11700 12600 3 3 4 4 4 4
30 7 210 252 273 294 12600 13650 14700 4 4 4 4 4 5
35 5 175 210 228 245 10500 11375 12250 3 3 3 4 4 4
35 6 210 252 273 294 12600 13650 14700 4 4 4 4 4 5
35 7 245 294 319 343 14700 15925 17150 4 4 5 5 5 6
40 5 200 240 260 280 12000 13000 14000 3 4 4 4 4 5
40 6 240 288 312 336 14400 15600 16800 4 4 5 5 5 5
40 7 280 336 364 392 16800 18200 19600 5 5 5 5 6 6
50 5 250 300 325 350 15000 16250 17500 4 4 5 5 5 6
50 6 300 360 390 420 18000 19500 21000 5 5 6 6 6 7
50 7 350 420 455 490 21000 22750 24500 6 6 7 7 7 8
60 5 300 360 390 420 18000 19500 21000 5 5 6 6 6 7
60 6 360 432 468 504 21600 23400 25200 6 6 7 7 7 8
60 7 420 504 546 588 25200 27300 29400 7 7 8 8 9 9
70 5 350 420 455 490 21000 22750 24500 6 6 7 7 7 8
70 6 420 504 546 588 25200 27300 29400 7 7 8 8 9 9
70 7 490 588 637 686 29400 31850 34300 8 8 9 9 10 11
80 5 400 480 520 560 24000 26000 28000 6 7 7 8 8 9
80 6 480 576 624 672 28800 31200 33600 8 8 9 9 10 10
80 7 560 672 728 784 33600 36400 39200 9 9 10 10 11 12
90 5 450 540 585 630 27000 29250 31500 7 8 8 8 9 10
90 6 540 648 702 756 32400 35100 37800 8 9 10 10 11 12
90 7 630 756 819 882 37800 40950 44100 10 11 11 12 13 14
100 5 500 600 650 700 30000 32500 35000 8 9 9 9 10 11100 6 600 720 780 840 36000 39000 42000 9 10 11 11 12 13
100 7 700 840 910 980 42000 45500 49000 11 12 13 13 14 15
110 5 550 660 715 770 33000 35750 38500 9 9 10 10 11 12
110 6 660 792 858 924 39600 42900 46200 10 11 12 12 13 14
110 7 770 924 1001 1078 46200 50050 53900 12 13 14 14 15 17
120 5 600 720 780 840 36000 39000 42000 9 10 11 11 12 13
120 6 720 864 936 1008 43200 46800 50400 11 12 13 13 14 16
120 7 840 1008 1092 1176 50400 54600 58800 13 14 15 16 17 18
130 5 650 780 845 910 39000 42250 45500 10 11 12 12 13 14
130 6 780 936 1014 1092 46800 50700 54600 12 13 14 14 16 17
130 7 910 1092 1183 1274 54600 59150 63700 14 15 16 17 18 20
140 5 700 840 910 980 42000 45500 49000 11 12 13 13 14 15
140 6 840 1008 1092 1176 50400 54600 58800 13 14 15 16 17 18
140 7 980 1176 1274 1372 58800 63700 68600 15 16 18 18 20 21
150 5 750 900 975 1050 45000 48750 52500 12 13 14 14 15 16150 6 900 1080 1170 1260 54000 58500 63000 14 15 16 17 18 19
150 7 1050 1260 1365 1470 63000 68250 73500 16 17 19 19 21 22
160 5 800 960 1040 1120 48000 52000 56000 12 13 14 15 16 17
160 6 960 1152 1248 1344 57600 62400 67200 15 16 17 18 19 21
160 7 1120 1344 1456 1568 67200 72800 78400 17 19 20 21 22 24
180 5 900 1080 1170 1260 54000 58500 63000 14 15 16 17 18 19
180 6 1080 1296 1404 1512 64800 70200 75600 17 18 19 20 21 23
180 7 1260 1512 1638 1764 75600 81900 88200 19 21 22 23 25 27
200 5 1000 1200 1300 1400 60000 65000 70000 15 17 18 18 20 21
200 6 1200 1440 1560 1680 72000 78000 84000 18 20 21 22 24 26
200 7 1400 1680 1820 1960 84000 91000 98000 21 23 25 26 28 30
Parmetros:
actua r$&$! r
2&$5 r
&2!
Coefciente de crecimiento anual / 1000 habit. : r = 10,15 y 20 !eriodo de dise"o : t = 20 a
#otaci$n de a%ua para la &ona 'ierra : ' = 50 (ts/)ab/#*a Consumo promedio diario : Qm +(ts
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"os
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#ise"o de Reservorios Rectan%ulares -*picos
V Características Geométricas Acero Estr
(m3) B (m) h (m) BL (m) H (m)
2.00 1.50 0.15 0.15 0.10 1.00 0.25 1.25 ø3/8" @ 0.25 ø3/8" @ 0.25 ø3/8" @ 0
3.00 1.75 0.15 0.15 0.10 1.00 0.25 1.25 ø3/8" @ 0.25 ø3/8" @ 0.25 ø3/8" @ 0
4.00 2.00 0.15 0.15 0.10 1.00 0.25 1.25 ø3/8" @ 0.25 ø3/8" @ 0.25 ø3/8" @ 0
5.00 2.10 0.15 0.15 0.10 1.15 0.25 1.40 ø3/8" @ 0.25 ø3/8" @ 0.25 ø3/8" @ 0
.00 2.30 0.15 0.15 0.10 1.15 0.25 1.40 ø3/8" @ 0.25 ø3/8" @ 0.25 ø3/8" @ 0
!.00 2.50 0.15 0.15 0.10 1.15 0.25 1.40 ø3/8" @ 0.20 ø3/8" @ 0.25 ø3/8" @ 0
".00 2.60 0.15 0.15 0.10 1.20 0.25 1.45 ø3/8" @ 0.20 ø3/8" @ 0.25 ø3/8" @ 0
#.00 2.75 0.15 0.15 0.10 1.20 0.25 1.45 ø3/8" @ 0.20 ø3/8" @ 0.25 ø3/8" @ 0
$0.00 2.90 0.15 0.15 0.10 1.20 0.30 1.50 ø3/8" @ 0.20 ø3/8" @ 0.25 ø3/8" @ 0
$$.00 3.00 0.15 0.15 0.10 1.25 0.30 1.55 ø3/8" @ 0.175 ø3/8" @ 0.25 ø3/8" @ 0
$2.00 3.10 0.15 0.15 0.10 1.25 0.30 1.55 ø3/8" @ 0.175 ø3/8" @ 0.25 ø3/8" @ 0
$3.00 3.25 0.15 0.15 0.10 1.25 0.30 1.55 ø3/8" @ 0.175 ø3/8" @ 0.25 ø3/8" @ 0
$4.00 3.30 0.15 0.15 0.10 1.30 0.30 1.60 ø3/8" @ 0.175 ø3/8" @ 0.25 ø3/8" @ 0
$5.00 3.40 0.15 0.15 0.10 1.30 0.30 1.60 ø3/8" @ 0.15 ø3/8" @ 0.20 ø3/8" @ 0
$.00 3.45 0.15 0.15 0.10 1.35 0.30 1.65 ø3/8" @ 0.15 ø3/8" @ 0.20 ø3/8" @ 0
$!.00 3.50 0.15 0.15 0.10 1.40 0.30 1.70 ø3/8" @ 0.125 ø3/8" @ 0.20 ø3/8" @ 0
$".00 3.55 0.15 0.15 0.10 1.45 0.30 1.75 ø3/8" @ 0.125 ø3/8" @ 0.175 ø3/8" @ 0
$#.00 3.60 0.15 0.15 0.10 1.50 0.30 1.80 ø3/8" @ 0.125 ø3/8" @ 0.15 ø3/8" @ 0
20.00 3.60 0.15 0.15 0.10 1.55 0.30 1.85 ø1/2" @ 0.175 ø3/8" @ 0.15 ø3/8" @ 0
22.50 3.75 0.20 0.15 0.125 1.60 0.30 1.90 ø3/8" @ 0.15 ø3/8" @ 0.20 ø3/8" @ 0
25.00 3.85 0.20 0.15 0.125 1.70 0.30 2.00 ø1/2" @ 0.20 ø3/8" @ 0.175 ø3/8" @ 0
30.00 4.10 0.20 0.15 0.125 1.80 0.30 2.10 ø1/2" @ 0.175 ø3/8" @ 0.15 ø3/8" @ 0
%A&'E&*+
e m (m) e
L, (m) e
LC (m) A
V (-) A
H (-) A
L, (-)
V Volúmen del reservorio rectan!lar. h lt!ra de #ivel $a%imo de !a. A L,(-) ce
B nc(o del reservorio )interior*. BL +ordo ,i-re. A LC(-) ce
e m sesor de m!ro. H lt!ra otal del eservorio )nterior*. L
$ ,on
eL, sesor de losa de &ondo. A
V (-) cero de re&!er'o vertical en m!ros. L
2 ,on
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eLC sesor de losa de c!-ierta. A
H(-) cero de re&!er'o (ori'ontal en m!ros. /c 175
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2.25 1.50
3.06 1.75
4.00 2.00
5.07 1.83
6.08 2.00
7.19 2.17
8.11 2.17
9.08 2.29
10.09 2.42
11.25 2.40
12.01 2.48
13.20 2.60
14.16 2.54
15.03 2.62
16.07 2.5617.15 2.50
18.27 2.45
19.44 2.40
20.09 2.32
22.50 2.34
25.20 2.26
30.26 2.28
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ua'ro 5
Valores de los coeficientes (K) para el cálculo de momentos
(Reservorio Cuadrado, Tapa libre y fondo empotrado)
+/2 +/2
h
x
B/h x/hy = 0 y = B/4 y = B/
!x !y !x !y !x !y
0 0.000 0.025 0.000 0.014 0.000 -0.082
1/4 0.010 0.019 0.007 0.013 -0.014 -0.071
3.00 1/2 0.005 0.010 0.008 0.010 -0.011 -0.055
3/4 -0.033 -0.004 -0.018 0.000 -0.006 -0.028B/h x/h
y = 0 y = B/4 y = B/
1 -0.126 -0.025 -0.092 -0.018 0.000 0.000 !x !y !x !y !x !y
0 0.000 0.027 0.000 0.013 0.000 -0.074 0 0.000 0.015 0.000 0.003 0.000 -0.029
1/4 0.012 0.022 0.007 0.013 -0.013 -0.066 1/4 0.005 0.015 0.002 0.005 -0.007 -0.034
2.50 1/2 0.011 0.014 0.008 0.010 -0.011 -0.053 1.25 1/2 0.014 0.015 0.008 0.007 -0.007 -0.037
3/4 -0.021 -0.001 -0.010 0.001 -0.005 -0.027 3/4 0.006 0.007 0.005 0.005 -0.005 -0.024
1 -0.108 -0.022 -0.077 -0.015 0.000 0.000 1 -0.047 -0.009 -0.031 -0.006 0.000 0.000
0 0.000 0.027 0.000 0.009 0.000 -0.060 0 0.000 0.009 0.000 0.002 0.000 -0.018
1/4 0.013 0.023 0.006 0.010 -0.012 -0.059 1/4 0.002 0.011 0.000 0.003 -0.005 -0.023
2.00 1/2 0.015 0.016 0.010 0.010 -0.010 -0.049 1.00 1/2 0.009 0.013 0.005 0.005 -0.006 -0.029
3/4 -0.008 0.003 -0.002 0.003 -0.005 -0.027 3/4 0.008 0.008 0.005 0.004 -0.004 -0.020
1 -0.086 -0.017 -0.059 -0.012 0.000 0.000 1 -0.035 -0.007 -0.022 -0.005 0.000 0.000
0 0.000 0.025 0.000 0.007 0.000 -0.050 0 0.000 0.004 0.000 0.001 0.000 -0.007
1/4 0.012 0.022 0.005 0.008 -0.010 -0.052 1/4 0.001 0.008 0.000 0.002 -0.002 -0.011
1.75 1/2 0.016 0.016 0.010 0.009 -0.009 -0.046 0.75 1/2 0.005 0.010 0.002 0.003 -0.003 -0.017
3/4 -0.002 0.005 0.001 0.004 -0.005 -0.027 3/4 0.007 0.007 0.003 0.003 -0.003 -0.013
1 -0.074 -0.015 -0.050 -0.010 0.000 0.000 1 -0.024 -0.005 -0.015 -0.003 0.000 0.000
0 0.000 0.021 0.000 0.005 0.000 -0.040 0 0.000 0.001 0.000 0.000 0.000 -0.002
1/4 0.008 0.020 0.004 0.007 -0.009 -0.044 1/4 0.000 0.005 0.000 0.001 -0.001 -0.004
1.50 1/2 0.016 0.016 0.010 0.008 -0.008 -0.042 0.50 1/2 0.002 0.006 0.001 0.001 -0.002 -0.009
3/4 0.003 0.006 0.003 0.004 -0.005 -0.026 3/4 0.004 0.006 0.001 0.001 -0.001 -0.007
1 -0.060 -0.012 -0.041 -0.008 0.000 0.000 1 -0.015 -0.003 -0.008 -0.002 0.000 0.000
( a.h)
M = K. a.h3
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!ente n:lisis ; dise<o de reservorios de concreto armado ivera ei=oo ,ima 1991.
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Diseño Estructural de Reservorio po!ado("or #ar$a de servi#ios o el%sti#o, tapa libre y fondo empotrado)
Nota: Ingresar datos en a !edas a"#es$ no %od&'&!ar as otras !edas or #e se da*ar+a e d&se*o estr#!t#ra.
&atos 'enerales (Reservorio con base cuadrada)
, n!ho de reseror&o (&nter&or) 4.00 m , es&sten!&a de !on!reto '! 210 Kg/Cm2
, t#ra de g#a (N&e x.) h 3.00 m , s'#er"o de '#en!&a a!ero ' 4200 Kg/Cm2
, ordo &re 0.30 m , eso ese!&'&!o de ag#a 1000 Kg/m3
, t#ra ota ; 3.30 m , eso ese!&'&!o de terreno 1960 Kg/m3
, <o=%en de eseror&o < 48.00 m3 , >aa!&dad ortante terreno 0.75 Kg/Cm2
, ea!&?n an!ho/at#ra ag#a /h 1.33 , eso #n&t. !on!reto ar%ado 2400 Kg/m3
!omentos en muros por empue de a$ua (Del Anexo Cuadro 5, para B/ se ob! ienen los siguien!es valores )
>oe'&!&entes @: o%entos (@g x %):
/h x/h
0 /4 /2
/h x/h
0 /4 /2
x x x x x x
0 0.000 0.027 0.000 0.009 0.000 -0.060 " "#"" $2%#"" "#"" 2&3#"" "#"" '''
1/4 0.013 0.023 0.006 0.010 -0.012 -0.059 /& 35#"" 2#"" 2#"" 2$"#"" *32&#"" '''
2.00 1/2 0.015 0.016 0.010 0.010 -0.010 -0.049 2.00 /2 &"5#"" &32#"" 2$"#"" 2$"#"" *2$"#"" '''
3/4 -0.008 0.003 -0.002 0.003 -0.005 -0.027 3/& *2#"" +#"" *5&#"" +#"" *35#"" *$2%#""
1 -0.086 -0.017 -0.059 -0.012 0.000 0.000 ''' *&5%#"" ''' *32&#"" "#"" "#""
!omentos y espesor de muro (Atodo est&!o s&n agr&eta%&ento)
x&%o %o%ento aso#to ert&!a: x 2322.00 @g-%
x&%o %o%ento aso#to hor&"onta: 1620.00 @g-%
x&%o %o%ento aso#to: 2322.00 @g-%
s'#er"o de tra!!&?n or 'ex&?n: 12.32 @g/>%2
n!ho o 'ranBa de ana&s&s: 100.00 >%
sesor de %#ro o ared: 33.63 >% C *+* >%
!omentos y espesor de losa de #ubierta (osa ar%ada en 2 sent&dos aoada en 4 extre%os)
#" de !!#o osa de !#&erta: 4.35 %
sesor de osa de !#&erta: 12.09 >% C -+.- >%
eso ro&o de osa / %: 377.04 @g/%
>arga <&a / %: 150.00 @g/%
>arga a!t#ante / %: 527.04 @g/%
o%entos 'ex&onantes ('aBa !entra): 359.56 @g-% , > 0.036 (N>)
!omentos y espesor de losa de fondo (Atodo est&!o s&n agr&eta%&ento)
sesor de osa de 'ondo (as#%&da): 0.20 %
eso ro&o de osa / %: 480.00 @g/%
eso de ag#a / %: 3000.00 @g/%
>arga a!t#ante / %: 3480.00 @g/%
o%ento en extre%os e%ot.: -153.41 @g-% , D "#52%"
. a
. t
Et
F
@ xa x h3
't 0.85 ('!)1/2
e% (6./ 't.)1/2 e
m =
Ge%
e>
/ 36 eC
=
e
> x
F
><
H G >
<
$
>H2
e
e
x
F
a h x
a
H G
a
e ->
eH2/192 >
e
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o%ento en e !entro de a osa: 7.44 @g-% , D "#"53! >
!H2/384 >
!
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C%l#ulo estru#tural y distribu#in de armadura
aa &re$ 'ondo e%otrado$ %etodo de ortand >e%ent sso!&at&on$ asados en a teor+a de ates and Jhes de
&%oshenKo$ !ons&derando aredes e%otradas entre s+.
Muro Vt Muro Hz Losa Fondo Losa Cubierta
o%ento %x&%o aso#to : (@g-%) 2322.00 1620.00 153.41 359.56
n!ho de a <&ga/'ranBa ana&"ada : (>%) 100 100 100 100
od#o de east&!&dad de !on!reto ! : 2.10G06 2.10G06 2.10G06 2.10G06
od#o de east&!&dad de a!ero s : 2.19G05 2.19G05 2.19G05 2.19G05
ea!&?n %od#ar n : ! / s 9 9 9 9
s'#er"o en e !on!reto '! : 95 95 95 95
s'#er"o en e a!ero 's : 900 900 900 1400
K 1 / (1G's/(n '!)) K : 1 / (1G's/(n '!)) 0.487 0.487 0.487 0.379
B 1 - (K/3) B : 1 - (K/3) 0.838 0.838 0.838 0.874
('! x B x K)/2 : ('! x B x K)/2 19.383 19.383 19.383 15.734
erate d : (L >%) 35.207 29.407 9.049 4.780
e!#r&%&ento r : (>%) 7.5 7.5 4 2.5
sesor red&%ens&onado e : (>%) 35.32 35.32 20.00 15.71
>he#eo de esesor. Mee !#%&rse : e d G r 12 12 12 12
sesor =t& d : e - r 27.821 27.821 16.000 13.210
rea de a!ero s : (100.)/('s.B.d) 11.071 7.724 1.272 2.225
>oe'&!&ente re'#er"o %+n&%o > : 0.0015 0.0015 0.0017 0.0017
e'#er"o %+n&%o s% : 5.2982 5.2982 3.4000 2.6707
rea e'e!t&a a!ero O 3/8P 11.36 7.81 3.55 2.84
sa!&a%&ento O 3/8P 0.06 0.09 0.20 0.25
rea e'e!t&a a!ero O 1/2P 11.61 7.74 3.87 3.87
sa!&a%&ento O 1/2P 0.11 0.17 0.33 0.33
(L) Je!!&?n agr&etada : d Je!!&?n no agr&etada : d
Che3ueo por esfuero #ortante y adheren#ia
Pared Losa de cubierta
#er"a !ortante tota < (@g) 4500.00 702.72
s'#er"o !ortante no%&na < / (B..d) 1.93 < / (.d) 0.53
s'#er"o er%&s&e no%&na 0.02 '! 4.20 4.20
>he#eo de es'#er"o !ortante 12 12
O3/8PQ.11 27.30 O3/8PQ.25 12.00
s'#er"o de adheren!&a or 'ex&?n 7.07 5.07
s'#er"o er%&s&e de adheren!&a or 'ex&?n 0.05 '! 10.50 0.05 '! 10.50
>he#eo de es'#er"o de adheren!&a or 'ex&?n 12 12
5otas
R >I-350 en as nor%as Jan&tar&as ara ee%entos en !onta!to !on e ag#a re!o%&enda aores ara
R os re!#r&%&entos as#%&dos ara e !!#o estr#!t#ra es !onserador$ re!o%endndose !o%o %+n&%os
2 >% ara a osa de !#&erta 4 >% ara os %#ros osa de 'ondo.
(@g/>%2)
15100 ('!)1/2
0.45 '! (@g/>%2)
(@g/>%2)
> . . e (>%2)
(6 . / 't . )1/2 $ ( / )1/2
( a.h2) / 2 H.
&nt / 3
(@g/>%2)
%ax
(@g/>%2) 0.29 ('!)1/2
S %ax
T0
# (@g/>%2) < / (T0.B.d) < / (T
0.B.d)
#%ax
(@g/>%2)
# S #%ax
fs 900 @g/>%2 n 9.
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