golpe de ariete excel
TRANSCRIPT
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CALCULO GOLPE DE ARIETE:
Hb = 125 [m]L = 258 [m] (Tubera de presin de acero)D = 1.05 [m] (Dime!ro de "a !ubera)e = 5 [mm] (#spesor de pared)
$d = 1.2 (%auda" de dise&o)T = 12 [s] (Tiempo de cierre de "a '"'u"a eis!en!e an!es dHo = [m] (obrepresin producida por e" *o"pe de arie!e)
Calculo de celeridad:+a = 0.010, (De !ab"as) 10 +a = 0.010,
-.,1/ < 10 +a = 0.0/1
#'= 2.2-#08 +a = 1.//#!= 2.10#0, (cero) #mp"ear ecuacin3
101./- =>
a = 825.11/ [m4s]
Calculo de velocidad del fujo:- 1.2
= 1.858 [m4s].1-15/2 1.052
Vericaci! "i#o de cierre $Le!"o o r%#ido&:
2 258= 0.,25- [s]
825.11/25-
Tcic"o= 0.,25,52 12 > 0.,25- %ierre Len!oT= 12
De"er'i!aci! "i#o de (al"o:
825.12 1.858= 0.-,, 1
a"!os de "!ura1/.,2 125
Calculo de la (o)re#re(i! #or *ol#e de arie"e $+o&:
6o= 2 258 1.858 1/.8 12 1 0.-,, ( 1
7
obrepresin ue se produce en "a !ubera 9 se debe :undamen!a"men!e a" cierre o abrirse b%uando eis!e cierre (7) cuando se abre "a !ubera.
[m4s]
e4D
[;*4m2
][;*4m2]
= [;*2 )=
=_ 2/=
)4(( )=2_
=
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6o = -.2100-,[m]
CALCULO DE LA ,O-REPRE,I./ E/ VARIO, TRA0O,:
$nomina" = 10@resin es!!ica= 10 [m] (" Ana" de "a !ubera)
Tra'o 1:"1 = 12 [m]e1 = 10.5 [mm] 8.,, [m4s]D1 = 2.11 [m];a = 0.010,
Tra'o 2:"2 = 121.5 [m]e2 = 11.5 [mm] 88.8 [m4s]D2 = 2 [m]
;a = 0.010,
Tra'o 3:" = 158.5 [m]e = 12 [mm] /05.5, [m4s]D = 1./ [m];a = 0.010,
L!o!a"3 -0 [m] 85.8 Bm =
Calculo (o)re#re(i! del Gol#e de arie"e:
85.8 .21/= 28.- [m]
/.81
De"er'i!aci! del fujo '4!i'o de cierre #ara 5ue la (o)re#re(i! al !al de la "u)e37 8
61 = 10 [m] 6o = 0. C 10 = 51 [m]T =
uponiendo cierre "en!o3
85.8 .21/= 0.8-55 1
a"!os de "!ura1/.,2 10
51 2 -0 .21/ 1/.81T 1 0.8-55 ( 1
7
[m4s]
=1-824(1 2 )
=1-824(1 2 )
=1-824(1 2 )
= 1 2E. )4_ ( + +_1 1 1 1 E.( / + /
)=+_/_
= 1 1 2_ ( + ) =+__ /_
F = )4_ (__=
)4(__( )=2_
=
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T= .225 [s] (%a"cu"o aui"iar so"'e H@)
Calculo de (o)re#re(i! al !al de la "u)er4a:i e" !iempo de cierre :uese T3 15 [s]
Vericaci! "i#o de cierre $Le!"o o r%#ido&:
2 -0= 0./202 [s]
85.802,2/
Tcic"o= 0./20221 15 > 0./202 %ierre Len!oT= 15
De"er'i!aci! "i#o de (al"o:
85.8 .21/= 0.8-55 1
a"!os de "!ura1/.,2 10
Calculo de la (o)re#re(i! #or *ol#e de arie"e $+o&:
6o= 2 -0 .21/ 1/.8 15 1 0.8-55 ( 1
7
6o = /.8-2-1[m]
E,PE,OR DE PARED DE LA TU-ER9A DE PRE,I./Valore( j #ara
Hb = -8 [m] ("!ura bru!a) Tub. %on bridas6o = 5-. [m] (obrepresin por *o"pe de arie!e) Tub. o"dadaDin!= 55 [cm] (Dime!ro in!erno) Tub. Go"ada 9 so"Tipo de nin3 Tub. %on bridas
Te!(io!e( Ad'+I = 1 cero
Jierro :undido cen!ri:u*adoTensin admisib"e3 @o"ie!i"eno J"eib"e (ma)
cero po"ie!i"eno r*ido (ma)
500 @B% (ma)
Hma= 5-1. [m]
5-1. 0.55= 0.00- [m]
20 500
e = -.2501- [mm] 1 [mm] = 5.251 [mm]
CALCULO DE LA DI,TA/CIA E/TRE APO;O,8000 (cero)
$ = 0., Te!(io!e( Ad'
adm= [;*4cm2]
ma!
= [;*4m]
[m4s]
=_ 2/=_
)4(__( )=2_
=
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Hb = 0 [m] ceroDin!= 0.2 [m] Jierro :undido cen!ri:u*adoe = 12 [mm] @o"ie!i"eno J"eib"e (ma)
2 (Knc"inacin 6orion!a") po"ie!i"eno r*ido (ma)
, [m] (Dis!ancia en!re apo9os) @B% (ma)Tensin admisib"e3
cero
1200
Pe(o del Tu)o
.1-15/2 0.012 < ( 0.2 0.012 ) C 8000 =
Pe(o del A*ua
1000 2
.1-15/2 0.25 0.2 1000 = 1.-1, [;*4m]
Calculo 0o'e!"o lec"or Re(i("e!"e
0.08 C ( ,./8 1.-1, ) C cos( 2
M = = 2-2.5/ [;*
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e "a !urbina)
(cero)(asbes!o comQn)
(@B%)
2 258 )
825.12 12
rusco de "a !ubera. ()
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2.85/8, [m4s]
.181 [m4s]
.52,/8 [m4s]
.21/,/ [m4s]
4a !o e6ceda el
2 -0 )
85.8T
=
=
=
2E
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2 -0 )
85.8 15
"i#o( de u!i!1
1.1 dada 1.2
i(i)le(1200 250 5001,00 1800 2000
,0100
100
i(i)le(
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1200 250 5001,00 1800 2000
,0 ,0100 100
100 100
,./8 [;*4m]
2
) C , =
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DI,EO DE A/CLA?E -/.-/%o!areser'orio3 520.5 [m]
$d= 0.125 /
Din!= 0.25 [m] 1,
e = [mm]
, [m] ,.8
2 [m] (Hacia debaIo de un pun!o AIo)
1., (Tensin admisib"e de" sue"o)
8000 (cero)E,UER@O, DEL TRA0O ,UPERIORE(uerBo de)ido al Pe(o
.1-15/ 0.00 < ( 0.25 0.00
Or = 1255.18 [;*]
1255.18 sen ( / ) = 8/./11 [;*]
E(uerBo de)ido a la ricci!
1000 2
.1-15/ 0.25 0.25 ,5.8 1000 =
R 0.5 C ( 1255.18- ,-5/./
J2 = R 2//.8 [;*]
E(uerBo de)ido a la #re(i!
520.5 7 -,.82 = 8.5
2
0.85- 0.25 1000 8.5 = -100.2,/ [;*]
E(uerBo de)ido al roBa'ie!"o
J-= R 10 DJ- = R 2500 [;*]
E(uerBo de)ido a la #re(i! de la ju!"a
2 9 = 2 sen ( / )=9 9 = 1.258,- [m]
/ %Iun!a3 -/.-/ 7 1.258,-1 =H1 = 520.5 7 -8.21- =
.1-15/ 0.00 C ( 0.25, ) C 1000
E,UER@O, DEL TRA0O I/ERIOR
E(uerBo de)ido al Pe(o.1-15/ 0.00 < ( 0.25 0.00
Or = 8.1515 [;*]
8.1515 sen ( 1, ) = 10.515/8 [;*]
[m4s] 1=1=
Lapo9os
=
LIun!as
=
adm
= [;*4cm2]
ma!
= [;*4m]
Or = e (D e) L1 m=
J1= Or en 1=
a*ua
= [;*4m]
OP = 4- (D2) 2
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E(uerBo de)ido a la ricci!
1000 2
.1-15/ 0.25 0.25 0 1000 =
R 0.5 C ( 8.1515 0
J2S = R 0 [;*] o 6a9 apo9os en "a "on*i!ud 6acia "a Iun!a en!once
E(uerBo de)ido a la #re(i!
520.5 7 -,.82 = 8.5
2
0.85- 0.25 1000 8.5 = -100.2,/ [;*]
E(uerBo de)ido al roBa'ie!"o
J-S= R 10 DJ-S = R 2500 [;*]
E(uerBo de)ido a la #re(i! de la ju!"a
2 9 = 2 sen ( 1, )=9 9 = 0.5512 [m]
/
%Iun!a3 -,.82 7 0.55125 =H1 = 520.5 7 -,.2,8 =
.1-15/ 0.00 C ( 0.25, ) C 1000
CO/ AU0E/TO DE TE0PERATURA:
8/./11 2//.8 -100.2,/
@#GKUG 10-8/. [;*] V
10.515// 7 0 7 -100.2,/
KJ#GKUG 7,/2.,2 [;*] W
,/2.,2 182.
1,,52/.-85 /
,,01.,8
JH = 8152.01 7 ,52/.-85 = 1,22.525 [;*] XJB = ,,01. 7 182.2//8 = -2/.0,8 [;*] V
CO/ DI,0I/UCI./ DE TE0PERATURA
8/./11 7 2//.8 -100.2,/
a*ua
= [;*4m]
OP = 4- (D2) 2
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@#GKUG 750,.1 [;*] W
10.515// 0 7 -100.2,/
KJ#GKUG 71/2.,2 [;*] W
750,.1 718.-8
1/2.,2 -/-.11
/ 1,
12.1 7/.2/
JH = 7/.2/ 7 12.1,8 = 7211,.- [;*] YJB = 718.-8 7 -/-.112// = 7812.5/ [;*] W
DI,EO DEL A/CLA?E
Di(eo co! au'e!"o de "e'#era"ura: (%o"ocar dimensiones 9 'eriAca
1.5
2.1
/
0.1,
0. 0.
JB = -2/.0,8
G = 121FH
Pe(o #ro#io del a!clajeVolu'e! 5ue ocu#a el "u)o
cos ( / ) =0. L1 = 0./002 [m]L 1
cos ( 1, ) =0. L2 = 0.2821 [m]L 2
Bo" To!= .1-15/2 C ( 0.25 2-
J=
JS= J1S J2S JS J-S J5S ... =
J=
4- (D2)C L =
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Vol "o"al = 7H7J3JFK
Volu'e! del a!claje:
VA = 5.1-5 7 0.088--, = KH711
Pe(o del A!claje:G = 5.0,11, C 2-00 = 121FHJ M*N V
A!ali(i( de E("a)ilidad:De(liBa'ie!"o: :d = 1.
0.5
0.5 C ( 121-,.8 -2/.0,81,22.525
d = KH277K > 1H3 CU0PLE
Vuelco: :' = 1.
1.5
2.1ZO =
2.058 2./-
ZO = 0.,5 [m]0. 1,22.52
0. 0.
-2/.0,8
121-,.
-2/.0 0. 121-,. 0.,5 = 11205. [;*
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0.52/-17
1.-=
70.105/[m]2
E! la #u!"a del a!claje
1,85.8
2.1 C ( 1 ,.0
p1 = 2/885.8 = 2./885818 > 1.,
E! el "al! del a!claje
1,85.82.1 C ( 1 7 ,.0
p1 = -,-2.1/ = 0.-,-2185 < 1.,
(p1 p2 deben ser posi!i'os sino 6abra !raccin)
CO/ DI,0I/UCI./ DE TE0PERATURA
Di(eo co! au'e!"o de "e'#era"ura: (%o"ocar dimensiones 9 'eriAca
1.5
2.1
/
0.1,
0. 0.
JB = 7812.5/28
G = 121FH
Pe(o #ro#io del a!clajeVolu'e! 5ue ocu#a el "u)o
cos ( / ) =0. L1 = 0./002 [m]L 1
cos ( 1, ) =0. L2 = 0.2821 [m]L 2
Bo" To!= .1-15/2 C ( 0.25 2-
[;*4m2] [;*4cm2] [;*4cm2]
[;*4m2] [;*4cm2] [;*4cm2]
4- (D2)C L =
? 42=#
- 1 4_. 0
(1, ))=(1 /
- 2 4_. 0(1?, ))=(1 /
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Vol "o"al = 7H7J3JFK
Volu'e! del a!claje:
VA = 5.1-5 7 0.088--, = KH711
Pe(o del A!claje:G = 5.0,11, C 2-00 = 121FHJ M*N V
A!ali(i( de E("a)ilidad:De(liBa'ie!"o: :d = 1.
0.5
0.5 C ( 121-,.8 7812.5/7211,.-
d = 2H > 1H3 CU0PLE
Vuelco: :' = 1.
1.5
2.1ZO =
2.058 2./-
ZO = 0.,5 [m]0. 7211,.5
0. 0.
7812.5/28
121-,.
7812.5/ 0. 121-,. 0.,5 = 2,., [;*
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0./08-7
1.-=
0.208-2[m]2
E! la #u!"a del a!claje
11-.2
2.1 C ( 1 ,.0
p1 = 285-.5- = 0.285-5-- < 1.,
E! el "al! del a!claje
11-.22.1 C ( 1 7 ,.0
p1 = -/-02.5 = -./-02-/, > 1.,
(p1 p2 deben ser posi!i'os sino 6abra !raccin)
Gesumen3
Co! au'e!"o de Te'#era"ura:" Des"iamien!o3
d = KH277K > 1H3 CU0PLE
" 'ue"co3
v = FH331 > 1H3 CU0PLE
#s:ueros permisib"es en "a pun!a de" anc"aIe3
2./885818 > 1.,
#s:uero permisib"e en e" !a"n de" anc"aIe3
0.-,-2185 < 1.,
Co! di('i!uci! de Te'#era"ura:" Des"iamien!o3
d = 2H > 1H3 CU0PLE
" 'ue"co3
v = 2HF2 > 1H3 CU0PLE
#s:ueros permisib"es en "a pun!a de" anc"aIe3
0.285-5-- < 1.,
#s:uero permisib"e en e" !a"n de" anc"aIe3
-./-02-/, > 1.,
[;*4m2] [;*4cm2] [;*4cm2]
[;*4m2] [;*4cm2] [;*4cm2]
[;*4cm2] [;*4cm2]
[;*4cm2] [;*4cm2]
[;*4cm2] [;*4cm2]
[;*4cm2] [;*4cm2]
? 42=#
- 1 4_. 0
(1, ))=(1 /
- 2 4_. 0(1?, ))=(1 /
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(Iun!a a 2 m)
-,.82
/ (Iun!a a 2 m)
-1-.8
1,
/./
) C ,5.8 8000 =
,-5/./ [;*4m]
) C cos( / ) =
[m]
-8.21 [m]-2.118, [m]
-2.118, = 101.,21 [;*]
) C 2 8000 =
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0 [;*4m]
) C cos( 1, ) =
no 6a9 :riccin
[m]
-,.2,/ [m]8-.081 [m]
8-.081 = 202.8, [;*]
2500 101.,21 =
7 2500 7 202.8, =
8152.010
10-8/.
7 2500 101.,21 =
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2500 7 202.8, =
)
JH = 1,22.525
2-00
20.00 ) C 1.,28/-
@.#. H= [+*4m]
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) = 5.200-82
0.1150.-/
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70.10, ) =1.-
o %ump"e
70.10, ) =
1.-
%ump"e
)
JH = 7211,.-,
2-00
2
0.00 ) C 1.,28/-
@.#. H= [+*4m]
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) = 2.,,185
0.1150.-/
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0.208- ) =1.-
%ump"e
0.208- ) =
1.-
o %ump"e
/o Cu'#le
Cu'#le
Cu'#le
/o Cu'#le
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DI,E O DE APO;O
De! = 1./ [mm] (medida 6as!a e" dime!ro e!erior de" !ubo)Din! = 12./ [mm] (medida 6as!a e" dime!ro in!erior de" !ubo)
8,0 (@eso especAco de" cero)25
[m] (Lon*i!ud en!re apo9os)
1., (Tensin admisib"e de" sue"o)0.5 (Tubo 9 6ormi*n)
E(#e(or del "u)o:
e =1./ 7 12./
=5 [mm]
2
Pe(o del "u)o:
.1-15/ 0.005 < ( 0.12/ 0.005 ) C
Or = 11-.85/ [;*]
Pe(o del A*ua:
1000 2
.1-15/ 0.25 0.12/ 1000 = 8/./51
20-./- C cos ( 25 ) = 185.,0 [;*]
0.5 C 185.,0 = /2.80 [;*]
Co! au'e!"o de "e'#era"ura:
/2.80 C cos ( 25 ) 7 185.,0 C sen (
JH = 5.,,,1 [;*]
/2.80 C sen ( 25 ) 185.,0 C cos (
J' = 20.- [;*] Q
Co! di('i!uci! de "e'#era"ura:
7/2.80 C cos ( 25 ) 7 185.,0 C sen (
JH = 71,2.55 [;*]
7/2.80 C sen ( 25 ) 185.,0 C cos (
J' = 12/.00 [;*] Q
Dise&ar con "os 'a"ores mas *randes ob!enidos de aumen!o o disminucin de !empera!ura3
Di(eo co! di('i!uci! de "e'#era"ura:
ma!
= [;*4m]=L
apo9o=
adm
= [;*4cm2]a =
Or = e (D e) L1 m=
a*ua
= [;*4m]
OP = 4- (D2) 2
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0.1-B1
0.,B2
0. 0.
0.-B 0./
0./
@eso @ropio31 15.12 [;*]2 12/., [;*] ., [;*]
G = 22H32 M*N
A!ali(i( de E("a)ilidad:De(liBa'ie!"o: :d = 1.
0.-
0.- C ( /22. 12/.00 ) =71,2.55
d = 2HKJ1 > 1H3 CU0PLE
Vuelco: :' = 1.
71,2.55 0.1- 1
0., 2
ZO =
0.00-2 0.02
0.021 0.18
ZO = 0.--/ [m]0.-
0., 0.
12/.00
/22.2
128.//, 0.15 /22.2 0.--/ = ,./8 [;*
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71,2.55 1.0 = 1./ [;* 1H3 CU0PLE
E(uerBo( #er'i(i)le(:
/22.2 128.//, = 1051. [;*]
G9 < Z 71,2.55 1.0 = 128.//, 0.15 /22. 0.--/
Z = 0.-85/ [m]
#cen!ricidad3
0.-85/7
0./=
0.05/ [m]2
E! la #u!"a del a!claje
1051.0.81 C ( 1 ,.0 0.05/
0./
p1 = 10-,.8 = 0.10-,/ < 1., Cu'#le
E! el "al! del a!claje
1051.0.81 C ( 1 7 ,.0 0.05/
0./
p1 = 10. = 0.10- < 1., Cu'#le
(p1 p2 deben ser posi!i'os sino 6abra !raccin)
Di(eo co! au'e!"o de "e'#era"ura:
0.1-
B1
0.,B2
0. 0.
0.-B 0./
0./
@eso @ropio3
M'=
G9 = O R J' =
[;*4m2] [;*4cm2] [;*4cm2]
[;*4m2] [;*4cm2] [;*4cm2]
&=( )4(, )=
? 42=#
- 1 4_. 0(1, ))=(1 /
- 2 4_. 0(1?, ))=(1 /
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1 15.12 [;*]2 12/., [;*] ., [;*]
G = 22H32 M*N
A!ali(i( de E("a)ilidad:De(liBa'ie!"o: :d = 1.
0.-
0.- C ( /22. 7 20.-- ) =5.,,,1
d = K7HFKF > 1H3 CU0PLE
Vuelco: :' = 1.
5.,,,1 0.1- 1
0., 2ZO =
0.00-2 0.020.021 0.18
ZO = 0.--/ [m]0.-
0., 0.
20.--
/22.2
20.- 0.15 /22.2 0.--/ = -8.5 [;*
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0.-/,7
0./=
0.02/, [m]2
E! la #u!"a del a!claje
1-./
0.81 C ( 1 ,.0 0.02/,0./
p1 = 8.112 = 0.081 < 1., Cu'#le
E! el "al! del a!claje
1-./0.81 C ( 1 7 ,.0 0.02/,
0./
p1 = 10/.- = 0.10/ < 1., Cu'#le
(p1 p2 deben ser posi!i'os sino 6abra !raccin)
[;*4m2] [;*4cm2] [;*4cm2]
[;*4m2] [;*4cm2] [;*4cm2]
? 42=#
- 1 4_. 0
(1, ))=(1 /
- 2 4_. 0(1?, ))=(1 /
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8,0 =
[;*4m]
25) =
25) =
25) =
25) =
2-00@.#. H= [+*4m]
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2.580
0.1,2
0.,
-
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) =
) =
2-00@.#. H= [+*4m]
-
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50.-5/
0.1,2 0.,
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) =
) =