Golpe de Ariete Excel

7/25/2019 Golpe de Ariete Excel

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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_

=


2/32

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_

=


3/32

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 =


12/32

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


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,., [;*


15/32

0./08-7

1.-=

0.208-2[m]2


11-.2

2.1 C ( 1 ,.0

p1 = 285-.5- = 0.285-5-- < 1.,


11-.22.1 C ( 1 7 ,.0

p1 = -/-02.5 = -./-02-/, > 1.,


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 /


16/32

(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 =


17/32

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 =


18/32

2500 7 202.8, =

)

JH = 1,22.525

2-00

20.00 ) C 1.,28/-

@.#. H= [+*4m]


19/32

) = 5.200-82

0.1150.-/


20/32

70.10, ) =1.-

o %ump"e

70.10, ) =

1.-

%ump"e

)

JH = 7211,.-,

2-00

2

0.00 ) C 1.,28/-

@.#. H= [+*4m]


21/32

) = 2.,,185

0.1150.-/


22/32

0.208- ) =1.-

%ump"e

0.208- ) =

1.-

o %ump"e

/o Cu'#le

Cu'#le

Cu'#le

/o Cu'#le


23/32

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


24/32

0.1-B1

0.,B2

0. 0.

0.-B 0./

0./

@eso @ropio31 15.12 [;*]2 12/., [;*] ., [;*]

G = 22H32 M*N


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 [;*


25/32

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


1051.0.81 C ( 1 ,.0 0.05/

0./

p1 = 10-,.8 = 0.10-,/ < 1., Cu'#le


1051.0.81 C ( 1 7 ,.0 0.05/

0./

p1 = 10. = 0.10- < 1., Cu'#le


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 /


26/32

1 15.12 [;*]2 12/., [;*] ., [;*]

G = 22H32 M*N


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 [;*


27/32

0.-/,7

0./=

0.02/, [m]2


1-./

0.81 C ( 1 ,.0 0.02/,0./

p1 = 8.112 = 0.081 < 1., Cu'#le


1-./0.81 C ( 1 7 ,.0 0.02/,

0./

p1 = 10/.- = 0.10/ < 1., Cu'#le


[;*4m2] [;*4cm2] [;*4cm2]

[;*4m2] [;*4cm2] [;*4cm2]

? 42=#

- 1 4_. 0

(1, ))=(1 /

- 2 4_. 0(1?, ))=(1 /


28/32

8,0 =

[;*4m]

25) =

25) =

25) =

25) =

2-00@.#. H= [+*4m]


29/32

2.580

0.1,2

0.,


30/32

) =

) =

2-00@.#. H= [+*4m]


31/32

50.-5/

0.1,2 0.,


32/32

) =

) =

Golpe de Ariete Excel

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Transcript of Golpe de Ariete Excel