aforo del rio metodo del trapecio y simpson

7/25/2019 Aforo Del Rio Metodo Del Trapecio y Simpson

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METODO DEL TRAPECIOh =0.3

i Xi F(Xi) COF TRAPECI PRODUCTO0 0 0 0.5 01 0.3 0.027 1 0.0272 0.6 0.216 1 0.2163 0.9 0.729 1 0.7294 1.2 1.728 1 1.7285 1.5 3.375 1 3.3756 1.8 5.832 1 5.8327 2.1 9.261 1 9.2618 2.4 13.824 1 13.8249 2.7 19.683 1 19.683

10 3 27 0.5 13.5UMA = 68.175

AREA = 20.4525

h = 1i Xi F(Xi) COF TRAPECI PRODUCTO0 0 0.8 0.5 0.41 1 1.2 1 1.22 2 1.6 1 1.63 3 1.8 1 1.84 4 2 1 25 5 2.1 1 2.16 6 2.2 1 2.27 7 1.8 1 1.88 8 1.7 1 1.79 9 1.4 1 1.4

10 10 0.9 0.5 0.45UMA = 16.65

AREA = 16.65

METODO DE IMP O! 1"3h =0.3

i Xi F(Xi) COEF IMP PRODUCTO0 0 0 1 01 0.3 0.027 4 0.1082 0.6 0.216 2 0.4323 0.9 0.729 4 2.9164 1.2 1.728 2 3.4565 1.5 3.375 4 13.56 1.8 5.832 2 11.6647 2.1 9.261 4 37.0448 2.4 13.824 2 27.6489 2.7 19.683 4 78.732


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10 3 27 1 27UMA = 202.5

AREA = 20.25

h =0.5

i

0 0 #0.01 0.5 1 #0.0051 0.5 #0.28 1 4 #0.282 1 #0.24 1 2 #0.243 1.5 #0.2 1 4 #0.24 2 #0.23 1 2 #0.235 2.5 #0.21 1 4 #0.216 3 #0.15 1 2 #0.157 3.5 #0.098 1 4 #0.0988 4 #0.03 0.5 1 #0.015

UMA = #1.428

AREA =0.714 TRAPECIOAREA =0.7387 IMP O!

DI TA!CIA($)

TIRA!TE %($)

COEF. TRAPECIO

COEF.IMP O!

PRODUCTO TRAPECIO


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#0.01#1.12#0.48#0.8

#0.46#0.84#0.3

#0.392#0.03

#4.432

PRODUCTOIMP O!


5/18

AFORO DEL RIO1) Ubicacin : RIO OTUZCO2) Di&' 16 *+,i $- / 2013 + &' 12 $.

3) h&//&$+ /& , /+ i & i&/ ( * &$+ +)'

DISTANCIA = 20 mt1 = 25.3 set2 = 22.! set3 = 2".#5 se i$ + $+ & + / i+' 1t" = 23.$ set5 = 25.3 se

t %&'m = 2".35 se

/+ i & i&/ = = D" +$

( = D t %&'m = 0.821 m se

") *a++am's e+ a&ea ,san-' amb's met'-'s

A). METODO DEL TRAPECIO

SECCION : A-A

L = 11.4 $ h = 1.14

i

0 0 0 0.5 01 1.14 0.36 1 0.362 2.28 0.38 1 0.383 3.42 0.49 1 0.494 4.56 0.52 1 0.525 5.7 0.33 1 0.336 6.84 0.49 1 0.497 7.98 0.27 1 0.278 9.12 0.41 1 0.419 10.26 0.3 1 0.3

10 11.4 0 0.5 0UMA = 3.55

AREA TRAPECIO = 4.047 $2

P * i * ( ) / i+ ' 0.25

DI TA!CIA($)

TIRA!TE %($)

COEF. TRAPECIO

PRODUCTO TRAPECIO


6/18

SECCION : B-B

L = 11.3 $ h = 1.13

i

0 0 0 0.5 01 1.13 0.36 1 0.362 2.26 0.66 1 0.663 3.39 0.7 1 0.74 4.52 0.66 1 0.665 5.65 0.57 1 0.576 6.78 0.51 1 0.517 7.91 0.44 1 0.448 9.04 0.49 1 0.499 10.17 0.33 1 0.33

10 11.3 0 0.5 0UMA = 4.7200

AREA TRAPECIO 5.3336 $2

AREA PROMEDIO DE LA DO ECCIO!E '

AREA TRAPECIO +$ i+ = 4.6903 $2

ALLAMO EL CAUDAL CO! LA ELOCIDAD CORRE IDA

C = 0.85:( & i+) = 3.2745421 $3" ;

B). METODO DE SIMPSON 1/3SECCION : A-A

L = 11.4 $ h = 1.14

i

0 0 0 1 0

1 1.14 0.36 4 1.442 2.28 0.38 2 0.763 3.42 0.49 4 1.964 4.56 0.52 2 1.045 5.7 0.33 4 1.326 6.84 0.49 2 0.987 7.98 0.27 4 1.088 9.12 0.41 2 0.82

DI TA!CIA($)

TIRA!TE %($)

COEF. TRAPECIO

PRODUCTO TRAPECIO

DI TA!CIA($)

TIRA!TE %($)

COEF.IMP O!

PRODUCTOIMP O!

=


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9 10.26 0.3 4 1.210 11.4 #0.03 1 #0.03

UMA = 10.57AREA IMP O! = 4.0166 $2

SECCION : B-B

L = 11.3 $ h = 1i

0 0 0 1 01 1.13 0.36 4 1.442 2.26 0.66 2 1.323 3.39 0.7 4 2.84 4.52 0.66 2 1.325 5.65 0.57 4 2.286 6.78 0.51 2 1.027 7.91 0.44 4 1.768 9.04 0.49 2 0.989 10.17 0.33 4 1.32

10 11.3 0 1 0UMA = 14.24

AREA IMP O! = 4.7467 $2

5) AREA PROMEDIO DE LA DO ECCIO!E '

AREA IMP O! +$ i+ = 4.3816 $2

6) ALLAMO EL CAUDAL CO! LA ELOCIDAD CORRE IDA

: = C<


8/18

8) COMPARAMO CO! LA FORMULA DE MA!I!P& & & & + $ /& * i &$+ /& * i * ( ) / i+

A = 4.53597 $2P = 13 $R = A"P = 0.348920513 $

0.0025* = 0.035

: = 3.2116101 $3" ;.

=0.25 % =

>(2"3) >(1"2)= /


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5 $


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PRACTICA DE CAMPO: AFORO DEL RIO1) Ubicacin / S ' '' +ea&t ) :2) Di&' + &'

3) h&//&$+ /& , /+ i & i&/ ( * * &$+ +)'

DISTANCIA = t1 = 25.3 P * i * ( ) / i+ 't2 = 22.!t3 = 2".#5 i$ + $+ & + / i+t" = 23.$t5 = 25.3

t %&'m =

/+ i & i = D" +$

( = D t %&'m =

") *a++am's e+ a&ea ,san-' amb's met'-'s

A). METODO DEL TRAPECIOSECCION : A-A SECCION : B-B

L = h = L = h =i0 0.5 0.51 1 1

2 1 13 1 14 1 15 1 16 1 17 1 18 1 19 1 1

10 1 111 1 112 1 113 1 114 1 115 1 116 1 117 1 118 1 119 1 120 0.5 0.5

DISTANCIA(m)

TI ANTE !(m)

COE".T A#ECIO

# OD$CTOT A#ECIO

DISTANCIA(m)

TI ANTE !(m)

COE".T A#ECIO

>(2"3) >(1"2)= /

= * *

= ) ))"2( ( + (


14/18

S$%A = S$%A =


15/18

# OD$CTOT A#ECIO


16/18


17/18

# &CTICA DE CA%#O: A"O O DE $N 'O

1. $ i * i+, ( #S):2. " h* / * :3. * / * :

C / * i/*/ i* ( , , ; *m ; ):

Di &* i&($)' 20 Ti $ + ( ;)

T1 25.30 P * i * / ?+ ( )' T2 22.80 P ?$ + M+ & + / ?+' T3 24.75 T4 23.60

T5 25.30 T +$ i+ 24.35

V = 0.821 m/s

C / * *,/ %


18/18

ECCI@!' #L+*;i (L)' 11.8 A/ & (h)'Di &* i& ($) Ti &* ($) C+ .T& i+ P + +

0.00 0.00 0.50 01.13 0.36 1 0.362.26 0.66 1 0.663.39 0.70 1 0.74.52 0.66 1 0.665.65 0.57 1 0.576.78 0.51 1 0.517.91 0.44 1 0.449.04 0.49 1 0.49

10.17 0.33 1 0.3311.30 0.00 0.50 0

UMA' 4.72

aforo del rio metodo del trapecio y simpson

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