informe 1 hidraulica 2

7/25/2019 Informe 1 Hidraulica 2

1/19

UNIVERSIDAD NACIONAL AUTONOMA DE NICARAGUARECINTO UNIVERSITARIO RICARDO MORALES AVILES

FACULTAD DE CIENCIAS E INGENIERIADEPARTAMENTO DE CONSTRUCCION

INFORME DE HIDRULICA II

PRACTICA DE LABORATORIO 1: DETERMINACION DE LA CURVA DE ENERGIA

ESPECFICA.

TUTOR: DR. VCTOR ROGELIO TIRADO PICADO

TUTOR DE LA PRCTICA: ING. LUIS FLORES CARCACHE

INFORME ELABORADO POR:

JONATHAN DARIL MERCADO COREA CARNET: 14042031 JUAN PABLO DUARTE MARTINEZ CARNET: 0043!42

GAR" ARAUZ

CARRERA: INGENIERA CIVIL

FECHA DE REALIZACI#N: JUEVES 0$ DE MARZO DEL 201%

FECHA DE ENTREGA: JUEVES 14 DE MARZO DEL 201%


2/19

&'()*

I&+,-'))(/&.......................................................................................................3

O*+(-............................................................................................................

O*+(- *&*,56:................................................................................................O*+(- *7*)89()-:...........................................................................................

G*&*,56('5'* M5,)- T*/,()-;..........................................................................%

D*5,,-66- '*6 65-,5+-,(-..................................................................................!

M5+*,(56* < *=(7-........................................................................................10

P,-)*'(>(*&+- *?7*,(>*&+56............................................................................10

D5+- ,*)-7(65'- '*6 65-,5+-,(-.....................................................................11

T565 '* 7,**&+5)(/& '* ,*6+5'-...............................................................1C*+(-&5,(-....................................................................................................1

C-&)6(-&*....................................................................................................1$

R*9*,*&)(5 B(6(-,@9()5...............................................................................1$

AENEOS.......................................................................................................1$

2


3/19

I&+,-'))(/&

E6 ((*&+* (&9-,>* '* )5,@)+*, (&9-,>@+()- )-&+(*&* 65 7,@)+()5 & 1 '* 65-,5+-,(- '*(',@6()5 II )-& *6 +*>5 D*+*,>(&5)(/& '* 65 ),5 '* *&*,85 *7*)89()5 9* 66*5'5 5)5- *6 '85 ** 0$ '* M5,- '*6 201% *& *6 ,*)(&+- &(*,(+5,(- R()5,'- M-,56* A(6

RURMA; '* 65 UNANM5&55. L5 7,@)+()5 +(*&* )->- -*+(- '*+*,>(&5, 65 ),5 '**&*,85 *7*)89()5 5 & )5'56 )-&+5&+* < 7*,>5&*&+*.

L5 *&*,85 *7*)89()5 *& 65 *))(/& '* & )5&56 * '*9(&* )->- 65 *&*,85 7-, >55 '*55 *& )56=(*, *))(/& '* & )5&56 >*'('5 )-& ,*7*)+- 56 9-&'- '*6 )5&56 *+- *:

E=Ycos+V

2

2g 1;

P5,5 & )5&56 '* 7*=*5 7*&'(*&+* 5 < @,*5 (',@6()5 A )-& V=Q

A

E=Y V

2

2g 3;

S7-&(*&'- =* K * )-&+5&+* < A * 9&)(/& '*6 +(,5&+* *&+-&)* 65 *&*,85

E7*)89()5 -6- '*7*&'* '*6 +(,5&+*.

D*9(&(,*>- *6 )5'56 7-, &('5' '* 5&)- - )5'56 &(+5,(- =; )->-: q=Q

b 4;

D-&'*:

= G5+- &(+5,(-.

K C5'56 T-+56.

A&)- '*6 )5&56.

L5 *6-)('5' >*'(5 * *?7,*5: V=q

Y ;

3


4/19

D-&'*:

V *6-)('5' >*'(5.

= 5+- &(+5,(-.

< +(,5&+* '* 55.E+- * (&+,-')* *& 65 *)5)(/& 2; < 7,-')* 65 ((*&+* ,*65)(/& *&+,* = < E:

E=Y q

2

2gy2 %;

S* 7*'* *, =* 75,5 &5 *))(/& '5'5 '* & )5&56 < & )5'56 K 65 *&*,85 *7*)(9()5*& 65 *))(/& '* &5 9&)(/& '* 65 7,-9&'('5' '*6 96- -65>*&+*.

4


5/19

O*+(-

O*+(- *&*,56:

D*+*,>(&5, 65 C,5 '* E&*,85 E7*)89()5 5 & )5'56 )-&+5&+* < 7*,>5&*&+*.

O*+(- *7*)89()-:

A)65,5, 6- )-&)*7+- -,* *&*,85 *7*)89()5 +(,5&+* (',@6()- )5'56 )-&+5&+* 5&*&+*.

C56)65, *6 )5'56 *&*,85 *7*)89()5 < +(,5&+* (',@6()5 75,5 )5'5 &- '*6 *&55'-*& *6 65-,5+-,(-.

A&56(5, 6- ,*6+5'- -+*&('- *& *6 65-,5+-,(-.

5


6/19

G*&*,56('5'* M5,)- T*/,()-;

F1-19 Canal Abierto - Versin 19

E6 )5&56 )-&+5 '* &5 *))(/& '* +,55- *& 5),86()-+,5&75,*&+* )-& &5 56+5 ,*65)(/& 7,-9&'('5' 5&)-.C*&+5 )-& ,*7,*5 '* 75- 7*,(-, * (&9*,(-, *& 6-*?+,*>- '* *&+,5'5 < '*)5,5 ,*7*)+(5>*&+*.

E6 55 *&+,5 56 )5&56 5 +,5 '* & +5&=* '*5>-,+(5)(/& 75,5 ,*')(, 65 +,6*&)(5. E6 55'*)5,5'5 '*6 )5&56 * ,*)-* *& *6 +5&=* -6>+,()- '*6 B5&)- H(',@6()- '* S*,()(-C->&* < ,*+-,&5 56 '*7/(+- 75,5 ,*)(,)65)(/&.

E6 96- 7*'* (56(5,* 7-, & (+*>5 '* (&(>-.

L- >-'*6- >(&(+,5'- )-& *6 )5&56 (&)6(+*& (56(5, '(*,5'*>-+,5)(-&* '* )5&56 5(*,+- < '* 96-.

L5 75+5 5+56* 7*,>(+*& &(*65, *6 *=(7-.

A,+8)6-: V56-,

A5 '* (&()5 5(>+,()5)(6(&',- 7*=*-)(6(&',- ,5&'*

6


7/19

F1-10 Banco hidrulico: E6 E=(7- F1 S*,(* (',@6()5 '* A,>9(*6' *+@ 55'- *& *6

B5&)- (',@6()- F110 < 5)->755 5 65 *?+*&5 5>5 '* 5))*-,(- -7)(-&56* =* 5&

('- '*5,,-665'- 75,5 *&*5, 5 6- *+'(5&+* >)- '* 6- 57*)+- '* 65 +*-,85

(',@6()5.

E6 5&)- (',@6()- A,>9(*6' < 5))*-,(-

5& ('- ',5&+* >)- +(*>7- *6 56-, '*

,*9*,*&)(5 *& 6- 65-,5+-,(- '* *&*5&5 '*

>*)@&()5 '* 96('-. E+5 )->76*+5 5>5 '*

*=(7- +,5+5 +-'- 6- 57*)+- '* 65

*&*5&5 '* 65 (',@6()5 '* &5 9-,>5

*,5 (56 < 9@)(6 '* )->7,*&'*,

,*756'5'5 7-, >5+*,(56* '* *&*5&5 '*

7,(>*, &(*6.

E+5 5>5 '* *=(7- * 5 5>76(5'- < ,*9-,5'- )-& &5 *,(* (&+*,5'5 '* 5))*-,(- '*

*&*5&5 (',-+@+()5 5'*>@ '* &*- 7,-')+- (',@6()-. D* *+5 9-,>5 )-& *+5

5+,5)+(5 5>5 '* 7,-')+- 7*'*& ),(,* +-'5 65 >5+*,(5 ),,()65,*.

E+5 &('5' *+@ '(*5'5 )->- >/'6- '* *,()(- 7-,+@+(6 * (&'*7*&'(*&+* '*+(&5'- 5 65

5>5 '* 5))*-,(- =* * '*),(* *& &5 *))(/& 7-+*,(-, '* *+5 -5 '**7*)(9()5)(-&*. E6 5&)- *+@ 95,()5'- *& & 6(*,- 76@+()- ,*(+*&+* 5 65 )-,,-(/& -&+5'- -,* ,*'5 75,5 95)(6(+5, +,5&7-,+*.

L5 75,+* 7*,(-, '*6 5&)- (&)-,7-,5 & )5&56 5(*,+- )-& )5&56* 65+*,56* 75,5 57-+,()5 * (&+*,56 < * 5 -7+5'- 7-, *665 -,* -+,- >+-'- '*

>*'()(/& '*6 96- 7-, 95)(6('5' '* - 7,*)((/& < *,('5' '* - *6 *+'(5&+* &-

+(*&* 7-, = >5&(765, 7*- 7*5'-;.

E6 '*7/(+- '* >*'()(/& -6>+,()5 *+@ *)56-&5'- 75,5 7-'*, '5, )5('5 5 >*'('5 '*

96- +5&+- *6*5'5 )->- ,*')('5. E6 '*96*)+-, '* )56>5 ,*')* 65 +,6*&)(5 < *6 +-

'* ((/& ,*>-+5 )-& *)565 -9,*)* &5 (&'()5)(/& (&+5&+@&*5 '*6 &(*6 '* 55. E& *6

7


8/19

)-&&+- * (&)6*'()(/& 75,5 65 >*'()(/& '* >*'('5 '* 96- >+,()- * )-&+,-65

>*'(5&+* & 5))(-&5'-, ,*>-+-. L5 57*,+,5 '* 65 @665 '* '*)5,5 '**6* *6 -6>*&'* 55 >*'('- 56 >('*,- =* * *&)*&+,5 *& 65 5* '*6 5&)- 75,5 7-((6(+5,

,*)()65*. E6 '*-,'5>(*&+- '*6 '*7/(+- -6>+,()- *(+5 ,*-*.

E6 55 * ,*)-* '*6 >('*,- >*'(5&+* &5 ->5 )*&+,895 >(*&+,5 =* &5 @665

'* )-&+,-6 >-&+5'5 *& 75&*6 ,*65 *6 96-. E6 )-&*)+-, '* +- '* 6(*,5)(/& ,@7('5 '*

9@)(6 - (+5'- *& 65 75,+* 7*,(-, '*6 5&)- 7*,>(+* *6 )5>(- ,@7('- '* 5))*-,(- (&

&*)*('5' '* +*&*, =* +(6(5, *,,5>(*&+5 >5&56*.

C5'5 &- '* 6- 5))*-,(- * >(&(+,5 )->- & '(7-(+(- )->76*+- =* &- &*)*(+5

&(&& +(7- '* *6*>*&+- '* *,()(- 575,+* '*6 5&)- (',@6()-. C5&'- * 5)-765& 56

5&)- 7*'*& +(6(5,* '* 9-,>5 (&>*'(5+5.

Agua: S+5&)(5 68=('5 (& -6-, )-6-, &( 5-, =* * *&)*&+,5 *& 65 &5+,56*5 *& *+5'-

>@ - >*&- 7,- 9-,>5&'- ,8- 65- < >5,* -)75 65 +,* )5,+5 75,+* '*6 765&*+5

T(*,,5 < 9-,>5 75,+* '* 6- *,* (- *+@ )-&+(+('5 7-, (',/*&- < -?8*&- H2 O ;.

U&cronmetro * & ,*6- '* 7,*)((/& =* * *>76*5 75,5 >*'(,

9,5))(-&* '* +(*>7- >< 7*=*5. A '(9*,*&)(5 '* 6- ,*6-*

)-&*&)(-&56* =* * +(6(5& 75,5 >*'(, 6- >(&+- < 65 -,5

=* ,(*& *6 +(*>7- )-+('(5&- 6- ),-&/>*+,- *6*& 5,* *&

)->7*+*&)(5 '*7-,+(5 < *& 65 (&'+,(5 75,5 +*&*, & ,*(+,- '*

9,5))(-&* +*>7-,56* >@ ,** )->- >(6(>5 '* *&'-.

Regla: es un trmino que deriva de la lengua latina (regula) y que tiene

mltiples usos. Puede tratarse de una herramienta heha on un material

s!lido que permite reali"ar mediiones o di#u$ar una l%nea reta.

&


9/19

'


10/19

D*5,,-66- '*6 65-,5+-,(-

C5&'- 65 7,-9&'('5' '*6 96- * '(5 )-&+,5 65 *&*,85 *7*)89()5 75,5 &5 *))(/&'5'5 '*6 )5&56 < 75,5 & )5'56 )-&+5&+* * -+(*&* 65 ),5 '* *&*,85 *7*)89()5. E+5),5 +(*&* '- 75,+* AC < CB. L5 75,+* AC * 57,-?(>5 56 ** -,(-&+56 5(&+/+()5>*&+*

5)(5 65 '*,*)5. L5 75,+* CB * 57,-?(>5 5 65 68&*5 OD 5 >*'('5 =* * *?+(*&'* 5)(55,,(5 < 5 65 '*,*)5. L5 68&*5 OD * &5 68&*5 =* 755 5 +,5 '*6 -,(*& < +(*&* &5(&)6(&5)(/& '* 4 '-&'* E *+,5 =* 75,5 &5 *&*,85 *7*)89()5 '5'5 5< '- 7-(6* 7,-9&'('5'*56+*,&5 7-, **>76- 65 )-+5 (&9*,(-, < *& *6 7&+- C 65 *&*,85 *7*)89()5 * & >8&(>-E>(&; 75,5 *6 )56 *?(+* & -6- 56-, '*6 +(,5&+* *6 )56 * )-&-)('- )->- 7,-9&'('5'),8+()5 *&+* =* *6 )5'56 5'- 75,5 65 )-&+,))(/& '* 65 ),5 AB.C5&'- 65 7,-9&'('5' '*6 96- * >@ ,5&'* =* 65 7,-9&'('5' ),8+()5 *,- F,-'** (56 5 65 U&('5' F 1; 65 *6-)('5' '*6 96- * (56 5 65 *6-)('5' ),8+()5 V V); 657,-9&'('5' '*6 96- * (56 5 65 7,-9&'('5' ),8+()5 '-&'*:

Yc=3

q2

g $;

E=23

Emin=( q2

g)1

3

;

E=3

2Yc !;

L5 '()(/& 5&+*,(-, -,* *&*,85 *7*)89()5 *& )5&56* ,*)+5&65,* - )5&56* 5&)-7*'* *, ,*>('5 *& 6- ((*&+* 7&+-:

1. U&5 )-&'()(/& '* 96- '5'5 * '*)(, & )(*,+- )5'56 &(+5,(- 96(&5'5 7-, '- )56*=(*,5 '* 65 5,(56* (&5)(/& = < E 65 )56 7,-')(,@ *& *&*,56 '- 7,-9&'('5'*'* 96-.


11/19

2. P5,5 )56=(*, 56-, '* E *?(+* &5 7,-9&'('5' ),8+()5 '5'5 7-, 65 *)5)(/& 75,5 65)56 *6 )5'56 &(+5,(- * >@?(>-.

3. P5,5 )56=(*, 56-, '* =Q *?(+* &5 7,-9&'('5' ),8+()5 '5'5 7-, 65 *)5)(/& $ 75,5 65)56 65 *&*,85 *7*)89()5 * >8&(>5.

4. C5&'- -),,* *6 96- ),8+()- 65 *)5)(/& Yc=23

E 58 )->- 65 *)5)(/&

Vc=gYc * )>76*& (>6+@&*5>*&+* < 65 )5,5 '* *6-)('5' * (56 5 65 >(+5' '*

65 7,-9&'('5' '* 96-Vc

2

2 g=

Yc

2

. P5,5 )56=(*, )-&'()(/& '* 96- '5'5 (*>7,* =* *5 '(9*,*&+* '* 65 ),8+()5 *?(+* -+,57,-9&'('5' 56+*,&5 75,5 65 )56 *6 >(>- )5'56 &(+5,(- 7*'* *, )-&')('- )-& 65>(>5 *&*,85 *7*)89()5.

M5+*,(56* < *=(7-

A5.

R*65 - *,&(*,.

1 C,-&/>*+,-.

1 C5&56 R*)+5&65,.

B->5 '* 1 H.P.

P,-)*'(>(*&+- *?7*,(>*&+56

1. N(*65, *6 )5&56 57,-?(>@&'-6- 5 &5 7*&'(*&+* S; (56 - >*&-, =* )*,-.2. A,(, 65 @665 '* 75* )->76*+5>*&+* 75,5 -+*&*, *6 )5'56 >@?(>-.

3. D*+*,>(&5, *6 )5'56 '* +,55-:

S* )(*,,5 *6 -,(9()(- '* 56('5 '*6 +5&=*.

S* ,*7(+* *+* 7,-)*'(>(*&+- *)* < 6*- * 7,->*'(5 *6 +(*>7-.


12/19

C-& *6 7,->*'(- '* 6- +(*>7- '*+*,>(&5'- * )56)65 *6 )5'56 ,*56 >*'(5&+* 65((*&+* *?7,*(/&:

Qr=Vol

Tp

D/&'*:

V-6: -6>*& '* 55 )-6*)+5'5.

T7: T(*>7- 7,->*'(- '* ,*)-6*))(/&.

4. C56)6* 65 P,-9&'('5' C,8+()5 T*/,()5 .

. F(5 65 P,-9&'('5' C,8+()5 T*/,()5 (&* 65 7,-9&'('5'* '*6 96- 75,5 '(9*,*&+* 7*&'(*&+* 5&'- 6- 5+*'* 0.4 )>.

D5+- '* )5&56.

L-&(+' +-+56 %00 >>.

L-&(+' P,@)+()5 %00>>.

A&)- '*6 C5&56 1>>.

A6+,5 T-+56 10>>.

D5+- ,*)-7(65'- '*6 65-,5+-,(-

Tabla de recoleccin de datos experimentales, clculo y presentacin de resultados

P,-)*'(>(*&+- '* )@6)6- '* )5'56

Lectura Vreg(lts) t(seg)Caudal(lt

s/s) Q(cm/s)

2 7.& .27&6 27&.552 2 7.3' .276 27.64

3 2 7.42 .26'5 26'.54

4 2 7.32 .2732 273.22

5 4 2.67 .357 35.7

6 3 .'& .2732 273.22

7 5 &.& .2765 276.55

2


13/19

Promedio 2.&6 .5 .2&5 2&.53

!rocedimiento de clculo de tirantes

P5,@>*+,-1 N0 P5,@>*+,- 2 N P5,@>*+,- 3 N1% P5,@>*+,- 4 N24"1 4.$ "1 3.% "1 3.4 "1 3.4

"2 4.3 "2 4.1 "2 3 "2 2."3 3.4 "3 3.2 "3 2.! "3 2.$"7,->*'(- 4.13 " 7,->*'(- 3.% " 7,->*'(- 3.1 " 7,->*'(- 2.!$P5,@>*+,- N32 P5,@>*+,- % N40 P5,@>*+,- $ N4"1 3.3 "1 3.1 "1 3.0"2 2.4 "2 2.4 "2 2.3"3 2.3 "3 2.3 "3 2.2"7,->*'(- 2.%$ " 7,->*'(- 2.% " 7,->*'(- 2.2

P5,@>*+,- 1 2 3 4 % $N>>; 0 1% 24 32 40 4")>; 4.13 3.% 3.1 2.!$ 2.%$ 2.% 2.2

3


14/19

Formulas a utili"ar

4

E=y+

q2

2g y2

#nde:E *&*,85 *7*)(9()5

" +(,5&+* '* 55 *& *+'(- )>;

9*,5 ,5(+5)(-&56 >2;= )5'56 &(+5,(- >2;

q=Q

b

#onde:K 5+- - )5'56 >3; 5&)- '* 65 *))(/& '*6 )5&56 >>;= )5'56 &(+5,(- >2;

Yc=3

q2

g

#onde:= )5'56 &(+5,(- >2; 9*,5 ,5(+5)(-&56 >2;") +(,5&+* ),(+()- )>;

Qr=V

tp

#onde:K, )5'56 ,*56 >3;+7 +(*>7- 7,->*'(-

V=Q

A

#onde:V *6-)('5' '*6 96- 5 +,5 '*6 )5&56)>;A @,*5 >-5'5 )>2;

A=Y x B #onde:A @,*5 >-5'5 )>2;" +(,5&+* '* 55 >>;B 5&)- '* 65 *))(/& '*6 )5&56 >>;

$nerg%a m%nima ") +(,5&+* ),(+()- '* 55 )>;


15/19

&emoria de clculos

'lculos de:

Tiempo promedio (Tp)

Tp=7.18+7.39+7.42+7.32+12.67+10.98+18.08

7

Tp=10.15 seg

*olumen !romedio (m+)

V=0.002+0.002+0.002+0.002+0.004+0.003+0.005

7

V=0.00286m3

'audal ()m+s

Q=0.00286m3

10.15 seg Q=0.000282

m3

seg281.77 cm3/ seg

.rea mo/ada (A)

A=4.13 cmx1.5cm A=6.195 cm2

*elocidad de la seccin del canal a partir del caudal ()

V=281.77 cm3 /seg

6.195 cm2V=45.48 cm/seg

'audal unitario ()

q=281.77 cm3/ seg

1.5cm q=187.85 cm2/seg

$nerg%a espec%2ica para canal rectangular ($)

5


16/19

4.13 cm 2

2x981cm / s eg2x

E=4.13cm+(187.85 c m2/seg )2

Tirante critico (3c)

187.85 c m2/seg 2

981cm /se g2

Yc=3

$nerg%a m%nima a partir del tirante critico ($c)

Ec=3

2(3.30 cm )Ec=4.95cm

#eterminacin de numero de Froud para 31 (F)

= 45.48cm /seg2

981cm /se g2x 4.13 cm=0.71


17/19

7 &. 2.52 3.7& 73.26 5.355 &7.6'

Promedio 4. 3.' 4.64 62.2& 5.4 &7.6'

C*+(-&5,(-

A 75,+(, '* 6- '5+- -+*&('- ,59()5, 65 ),5 '* 65 *&*,85 *7*)(9()5.

2 .5 3 . 3 .5 4 . 4 .5 5 . 5 .5 .

.5

.

.5

2.

2.5

3.

3.5

4.

4.5

5.

4.33.65

3.

2.'7 2.67

2.62.52

Cura de la 'nerg*a 's+ec*,ca (% s ')

*urva de +nergia

4 .& ) 5 .) ) 5 .2 ) 5 .4 )).))

(.))

2.))

3.))

4.))

5.))

4.(33.65

3.()2.'72.672.6)2.52

Cura de la 'nerg*a 's+ec*,ca (% s ')

*urva de +nergia

energia e

,irante y

I&+*,7,*+5, < 5&56(5, 6- ,*6+5'-.

P-'*>- &-+5, *& 65 ,@9()5 -+*&('5 =* 6- 56-,* 75,5 65 *&*,85 >@?(>5 < 65 *&*,85>8&(>5 - ),8+()5 -& 5+5&+* 57,-?(>5'5 5 6- 56-,* +*/,()- < =* 6- +(,5&+* '*6 96-

7


18/19

"1 < "2 +(*&*& *& )(*,+- >->*&+- 65 >(>5 *&*,85 )-& 6- )56 * )>76* 65 )-&*,5)(/&'* 65 >(>5.

D*+*,>(&* 65 7,-9&'('5' ),8+()5 +*/,()5 < )->7@,*65 )-& 65 7,-9&'('5' ),8+()5*?7*,(>*&+56 -+*&('5 '* 65 ),5 '* 65 *&*,85 *7*)89()5.

") T*/,()5 Yc=3.30 cm ") *& 65 ),5 Yc=3.10 cm

V*>- =* *6 )@6)6- +(*&* & *,,-, '* 57*&5 % 6- )56 * 5+5&+* 5)*7+56* 75,5 *6*&5(&* 65 *&*,85 >8&(>5 '* 65 ),5 < 6- 56-,* '* 6- +(,5&+* 5 *& *6 ,@9()-.

L5 *&*,85 >8&(>5 '* 65 ),5 * *6 56-, =* +->5 )5&'- *>- =* 5 '*),*)(*&'- (- < *6* 5 ),*)*, 56-, *+* )5- *,85 75,5 E>(&4.!%)> < 75,56- +(,5&+* '-&'* 65 *&*,85 * 65 >(>5 -& 75,5 "14.13)> < "22.%$)>.

C-&)6(-&*

C-& 65 *?7*,(>*&+5)(/& 7,5)+()5 '* 6- 57*)+- +*/,()- 7,-5,>*'(5&+* 65 '*+*,>(&5)(/& '* 65 ),5 '* *&*,85 *7*)(9()5 =* 75,5 & 96- )-&+5&+* 5&*&+* =*'5 '*+*,>(&5'- 7-, 5,(56* 8&(>5 75,5 *6 )56 -6- * *&)-&+,5,5 & +(,5&+* ),(+()- 59(*6'.)->*7,-')+(*W915&)-'*(',56()5*7,-')+(*W911!)5&565(*,+- ++7:'*9(&()(-&.'*),-&->*+,-

&
http://discoverarmfield.com/es/products/view/f1/banco-de-hidraulica-y-accesorios-f1-10http://discoverarmfield.com/es/products/view/f1/banco-de-hidraulica-y-accesorios-f1-10http://discoverarmfield.com/es/products/view/f1-19/canal-abiertohttp://definicion.de/cronometro/http://discoverarmfield.com/es/products/view/f1/banco-de-hidraulica-y-accesorios-f1-10http://discoverarmfield.com/es/products/view/f1/banco-de-hidraulica-y-accesorios-f1-10http://discoverarmfield.com/es/products/view/f1-19/canal-abiertohttp://definicion.de/cronometro/


19/19

AENEOS

'

informe 1 hidraulica 2

Documents