P1 Nivelación de bancos de nivel

April 1, 2019 | Author: Alexis | Category: Nature, Mathematics, Ciencia
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Proyecto de Nivelación de Bancos de Nivel....

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CIV-2214-\u201cB\u201d Topograf\u00eda II _______

Aux. Alexis A. D\u00e1valos Zuleta

N i v e l a ci \ u 0 0 f 3 n De ban co s d e n ivel \ue004\ue003 \ue01a\ue021\ue029\ue02b\ue033\ue01d\ue003

\ue004\ue003\ue004\ue003 \ue015\ue01e\ue025\ue021\ue02d\ue024\ue02f\ue029\ue003

\ue016\ue035\ue000\ue020\ue02b\ue033\ue02e\ue03d\ue032\ue03f\ue038\ue000\ue02d\ue02e\ue035\u

\ue037\ue032\ue03f\ue02e\ue035\ue000\ue039\ue038\ue03b\ue000\ue036\ue02e\ue02d\ue032\ue038\u

\ue02c\ue03e\ue02a\ue02d\ue03b\ue02a\ue02d\ue038\ue03c\ue000\ue039\ue02a\ue03b\ue02a\ue000\u

\ue041 \ue02e\ue035\ue02e\ue03f\ue02a\ue02c\ue032\ue048\ue037\ue000\ue02c\ue038\ue037\ue038\u

\ue004\ue003\ue005\ue003 \ue013\ue01d\ue02b\ue01f\ue029\ue000\ue01a\ue021\ue034

\ue01d\ue02a\ue000\ue037\ue032\ue03f\ue02e\ue035\ue02a\ue02c\ue032\ue048\ue037\ue000\ue031\u

\ue03a\ue03e\ue02e\ue000\ue035\ue02a\ue03c\ue000\ue02c\ue038\ue037\ue03c\ue03d\ue03b\ue03e\u

\ue02a\ue03b\ue03a\ue03e\ue032\ue03d\ue02e\ue02c\ue03d\ue03e\ue03b\ue02a\ue003\ue000\ue02e\u

\ue039\ue02a\ue035\ue039\ue02a\ue02b\ue035\ue02e\ue000\ue02d\ue02e\ue000\ue045\ue03c\ue03d\u

\ue03b\ue02a\ue036\ue02a\ue000\ue02d\ue02e\ue000\ue035\ue02a\ue000\ue03d\ue038\ue039\ue038\u

\ue03d\ue02a\ue037\ue03d\ue038\ue000\ue02d\ue02e\ue035\ue000\ue02c\ue035\ue032\ue036\ue02a\u

\ue036\ue02a\ue03d\ue02e\ue03b\ue032\ue02a\ue035\ue02e\ue03c\ue000\ue041\ue000\ue02d\ue02a\u

\ue02c\ue03e\ue035\ue03d\ue032\ue03f\ue038\ue03c\ue003\ue000\ue039\ue02e\ue037\ue03c\ue02a\u

\ue032\ue037\ue030\ue02e\ue037\ue032\ue038\ue03c\ue038\ue03c\ue000\ue032\ue037\ue03c\ue03d\u

\ue03d\ue02e\ue038\ue03b\ue046\ue02a\ue03c\ue003\ue000\ue02d\ue02e\ue03c\ue02a\ue03b\ue03b\u

\ue02c\ue038\ue03d\ue032\ue02d\ue032\ue02a\ue037\ue02a\ue036\ue02e\ue037\ue03d\ue02e\ue000\u

\ue039\ue032\ue03b\ue044\ue036\ue032\ue02d\ue02e\ue03c\ue000\ue02d\ue02e\ue000\ue016\ue030\u

\ue023\ue03e\ue02e\ue042\ue003\ue000\ue035\ue038\ue03c\ue000\ue03d\ue049\ue037\ue02e\ue035\u

\ue033\ue02a\ue036\ue044\ue03c\ue000\ue02e\ue03c\ue03d\ue02a\ue03b\ue046\ue02a\ue037\ue000\u

\ue02e\ue040\ue032\ue03c\ue03d\ue02e\ue037\ue02c\ue032\ue02a\ue000\ue02d\ue02e\ue000\ue035\u

\ue03c\ue02e\ue000\ue02e\ue037\ue02c\ue03e\ue02e\ue037\ue03d\ue03b\ue02a\ue000\ue035\ue02a\u

\ue02e\ue037\ue02c\ue038\ue037\ue03d\ue03b\ue02a\ue03b\ue000\ue02d\ue032\ue03b\ue02e\ue02c\u

\ue02c\ue038\ue03d\ue02a\ue03c\ue003\ue000\ue02e\ue037\ue000\ue03b\ue02e\ue035\ue02a\ue02c\u

\ue01d\ue02a\ue000\ue035\ue02a\ue02b\ue038\ue03b\ue000\ue02d\ue02e\ue000\ue037\ue032\ue03f\u

\ue03b\ue032\ue02e\ue030\ue038\ue000\ue03e\ue037\ue032\ue02f\ue038\ue03b\ue036\ue02e\ue000\u

\ue037\ue038\ue000\ue02e\ue03b\ue038\ue03c\ue032\ue03f\ue02a\ue000\ue041\ue000\ue03a\ue03e\u

\ue01d\ue02a\ue000\ue037\ue032\ue03f\ue02e\ue035\ue02a\ue02c\ue032\ue048\ue037\ue000\ue02d\u

\ue03c\ue02e\ue000\ue02c\ue038\ue036\ue039\ue02a\ue03b\ue02a\ue000\ue02c\ue038\ue037\ue000\u

\ue02f\ue03e\ue037\ue02d\ue02a\ue036\ue02e\ue037\ue03d\ue02a\ue035\ue036\ue02e\ue037\ue03d\u

Nivelaci\u00f3n de Bancos de Nivel

Proyecto N\u00ba 1

CIV-2214-\u201cB\u201d Topograf\u00eda II _______

Aux. Alexis A. D\u00e1valos Zuleta

\ue021\ue02a\ue03b\ue02a\ue000\ue02e\ue035\ue000\ue02c\ue044\ue035\ue02c\ue03e\ue035\ue038\u

\ue041\ue02a\ue000\ue03a\ue03e\ue02e\ue000\ue02e\ue03c\ue000\ue02e\ue035\ue000\ue036\ue044\u

\ue03b\ue02e\ue035\ue02a\ue03d\ue032\ue03f\ue02a\ue036\ue02e\ue037\ue03d\ue02e\ue000\ue039\u \ue039\ue02e\ue037\ue02d\ue032\ue02e\ue037\ue03d\ue02e\ue005

\ue01d\ue02a\ue000\ue03c\ue03e\ue039\ue02e\ue03b\ue02f\ue032\ue02c\ue032\ue02e\ue000\ue02d\u

\ue03d\ue038\ue036\ue02a\ue03d\ue02e\ue000\ue001\ue03f\ue02e\ue03b\ue000\ue039\ue035\ue02a\u

\ue044\ue03b\ue02e\ue02a\ue000\ue02d\ue02e\ue000\ue039\ue02e\ue037\ue02d\ue032\ue02e\ue037\u

\ue02d\ue032\ue03c\ue03d\ue02a\ue037\ue02c\ue032\ue02a\ue036\ue032\ue02e\ue037\ue03d\ue038\u

\ue038\ue03d\ue03b\ue02a\ue003\ue000\ue02d\ue02e\ue03d\ue02e\ue03b\ue036\ue032\ue037\ue044\u

\ue02c\ue02a\ue035\ue02c\ue03e\ue035\ue02a\ue000\ue02e\ue035\ue000\ue02c\ue02e\ue037\ue03d\u

\ue01d\ue02a\ue03c\ue000\ue02c\ue038\ue03d\ue02a\ue03c\ue000\ue039\ue03b\ue038\ue041\ue02e\u

\ue02d\ue032\ue02f\ue02e\ue03b\ue02e\ue037\ue02c\ue032\ue02a\ue000\ue02d\ue02e\ue000\ue02a\u

\ue02d\ue032\ue02f\ue02e\ue03b\ue02e\ue037\ue02c\ue032\ue02a\ue000\ue03c\ue02e\ue000\ue038\u

\ue03f\ue02a\ue035\ue038\ue03b\ue02e\ue03c\ue000\ue039\ue03b\ue038\ue036\ue02e\ue02d\ue032\u

\ue039\ue03b\ue038\ue041\ue02e\ue02c\ue03d\ue038\ue000\ue02a\ue000\ue035\ue02a\ue000\ue02c\u

\ue037\ue02e\ue030\ue02a\ue03d\ue032\ue03f\ue038\ue03c\ue000\ue03e\ue037\ue000\ue03b\ue02e\u

\ue016\ue037\ue000\ue035\ue038\ue03c\ue000\ue02c\ue02e\ue037\ue03d\ue03b\ue038\ue03c\ue000\u

\ue02c\ue038\ue037\ue02f\ue038\ue03b\ue036\ue02a\ue02c\ue032\ue048\ue037\ue000\ue02d\ue02e\u

\ue02c\ue038\ue037\ue03c\ue03d\ue03b\ue03e\ue032\ue02d\ue038\ue03c\ue000\ue02c\ue038\ue037\u

\ue039\ue03b\ue038\ue035\ue038\ue037\ue030\ue02a\ue02d\ue038\ue000\ue02a\ue02d\ue02e\ue036\u

\ue02e\ue035\ue000\ue039\ue03b\ue02e\ue03c\ue02e\ue037\ue03d\ue02e\ue000\ue02c\ue02a\ue039\u

\ue02c\ue038\ue036\ue039\ue02e\ue037\ue03c\ue02a\ue02c\ue032\ue048\ue037\ue000\ue02d\ue02e\u

\ue023\ue032\ue037\ue000\ue02e\ue036\ue02b\ue02a\ue03b\ue030\ue038\ue000\ue03b\ue02e\ue02c\u

\ue02d\ue02e\ue000\ue030\ue02e\ue037\ue02e\ue03b\ue02a\ue02c\ue032\ue048\ue037\ue000\ue035\u

\ue024\ue02a\ue036\ue02b\ue032\ue045\ue037\ue000\ue03b\ue02e\ue02c\ue038\ue03b\ue02d\ue02e\u

\ue02e\ue03a\ue03e\ue032\ue03f\ue038\ue02c\ue02a\ue02c\ue032\ue038\ue037\ue02e\ue03c\ue000\ue

\ue036\ue02e\ue02d\ue032\ue02c\ue032\ue038\ue037\ue02e\ue03c\ue000\ue035\ue02a\ue03c\ue000\u

\ue00d\ue015\ue014\ue00d\ue00f\ue016\ue01a\ue015\ue019\ue003\ue002

\ue01d\ue001\ue003\ue000\ue00f\ue02b\ue02b\ue029\ue02b\ue021\ue02c\ue000\ue01

\ue014\ue03e\ue02a\ue037\ue02d\ue038\ue000\ue03e\ue037\ue02a\ue000\ue036\ue02e\ue02d\ue032\u

\ue02e\ue035\ue000\ue036\ue032\ue03c\ue036\ue038\ue000\ue02e\ue03a\ue03e\ue032\ue039\ue038\u \ue035\ue02a\ue03c\ue000\ue036\ue032\ue03c\ue036\ue02a\ue03c\ue005

\ue013\ue02a\ue033\ue038\ue000\ue02e\ue03c\ue02a\ue03c\ue000\ue02c\ue038\ue037\ue03c\ue032\u

\ue039\ue03e\ue02e\ue02d\ue02e\ue037\ue000\ue02d\ue02e\ue03d\ue02e\ue03b\ue036\ue032\ue037\u \ue02e\ue040\ue039\ue03b\ue02e\ue03c\ue032\ue038\ue037\ue02e\ue03c

Nivelaci\u00f3n de Bancos de Nivel

Proyecto N\u00ba 1

CIV-2214-\u201cB\u201d Topograf\u00eda II _______ ................\ue000 d1 \ue000 d2 \ue000 d3 \ue000 dn

Dprom\ue002

n

Si \ue004 Em \ue002 1) n(n \ue001 dm P.L. \ue002 Em

Aux. Alexis A. D\u00e1valos Zuleta

Donde n= numero de mediciones Dm. = distancia promedio de las obs E.m. = error medio del promedio P.L. = Posici\u00f3n lineal Si = diferencia entre el promedio por cada una de las abs. N = numero de observaciones

\ue01e\ue001\ue003\ue000\ue00f\ue02b\ue02b\ue029\ue02b\ue021\ue02c\ue000\ue01

\ue016\ue037\ue000\ue036\ue03e\ue02c\ue031\ue038\ue03c\ue000\ue02c\ue02a\ue03c\ue038\ue03c\u

\ue036\ue02e\ue02d\ue032\ue02c\ue032\ue038\ue037\ue02e\ue03c\ue000\ue03d\ue02a\ue035\ue000\u

\ue01f\ue001\ue003\ue000\ue016\ue021\ue02c\ue029\ue003

\ue016\ue03c\ue000\ue02e\ue035\ue000\ue030\ue03b\ue02a\ue02d\ue038\ue000\ue02d\ue02e\ue000\u

\ue02f\ue038\ue03b\ue036\ue02a\ue03c\ue000\ue02d\ue02e\ue000\ue039\ue038\ue037\ue02d\ue02e\u

\ue004\ u e 0 3 0 \ue016\ue035\ue000\ue039\ue02e\ue03c\ue038\ue000\ue039\ue03e\ue02e\ue02

\ue005\ u e 0 3 0 \ue016\ue035\ue000\ue039\ue02e\ue03c\ue038\ue000\ue03c\ue02e\ue000\ue03

\ue006\ u e 0 3 0 \ue016\ue035\ue000\ue039\ue02e\ue03c\ue038\ue000\ue03c\ue02e\ue000\ue039\u

\ue035\ue02a\ue000\ue03c\ue02e\ue03b\ue032\ue02e\ue000\ue02d\ue02e\ue000\ue038\ue02b\ue03c\u

\ue03c\ue038\ue037\ue000\ue032\ue037\ue03f\ue02e\ue03b\ue03c\ue02a\ue036\ue02e\ue037\ue03d\u 2 2 2 2 2 ...............Pn * En P1 * (error1 \ue002 E1 ) \ue002 P2 * E2 \ue002 P3 * E3 \ue002

\ue021\ue02a\ue03b\ue02a\ue000\ue02d\ue02e\ue03d\ue02e\ue03b\ue036\ue032\ue037\ue02a\ue03b\u

\ue02c\ue038\ue036\ue038\ue000\ue02e\ue035\ue000\ue02e\ue03b\ue03b\ue038\ue03b\ue000\ue036\u

Xi * Pi \ue004 Xp \ue002 Pi \ue004

2 ( Pi * Si) \ue004 Em \ue002 Pi (n \ue001 1) \ue004

\ue011\ue014\ue019\ue01a\ue018\ue01b\ue013\ue00f\ue014\ue01a\ue015\ue019\ue00

\ue01d\ue038\ue03c\ue000\ue032\ue037\ue03c\ue03d\ue03b\ue03e\ue036\ue02e\ue037\ue03d\ue038\u

\ue03f\ue032\ue03c\ue03e\ue02a\ue035\ue02e\ue03c\ue000\ue031\ue038\ue03b\ue032\ue042\ue038\u

\ue039\ue02e\ue03c\ue02a\ue03b\ue000\ue03a\ue03e\ue02e\ue000\ue037\ue038\ue000\ue02f\ue03e\u

\ue030\ue02e\ue038\ue036\ue045\ue03d\ue03b\ue032\ue02c\ue02a\ue03c\ue005\ue000\ue02a\ue000\u

\ue02c\ue038\ue036\ue038\ue000\ue036\ue032\ue03b\ue02a\ue03c\ue000\ue02d\ue02e\ue000\ue037\u

\ue00f\ue019\ue01a\ue018\ue01b\ue00d\ue01a\ue01b\ue018\ue00c\ue019\ue000\ue00

Nivelaci\u00f3n de Bancos de Nivel

Proyecto N\u00ba 1

CIV-2214-“B” Topografía II

 







  













_______

Aux. Alexis A. Dávalos Zuleta

  

    

     

Nivelación de Bancos de Nivel

Proyecto Nº 1

CIV-2214-“B” Topografía II







_______





Aux. Alexis A. Dávalos Zuleta Tramo



a

Desnivel DH [m.] Peso +10.016 100

b

-8.006

100

1.414

c

-5.602

100

1.414

d

+3.614

100

1.414

e

+1.995 141.421

  

L

J

1

( Db Vb)

( De Ve)

0

( Dc Vc)

( Dd

Vd)

( De Ve)

0





 

e





i a

Pesoi * Vi

    

2*

i a

Pesoi * Vi

2



    





2

U



Li

Va Vb Ve 0.015 0 Vc Vd Ve 0.007 0

    

e

1

 

       

( Da Va )

 

 K

Pesoi

C

1.414

C j * Ec.Condición.

C j * Ec.Condición.

2*



U

1.414* (Va 2 * (C1 * (Va

U

Va U Vd

2 * 1.414* Vd

2 * C2

Vb Ve

2.429* C1

0.015

C2

Vc Vd Ve

C2

2.429* C 2

0.00633

0

2

C 2 * (Vc Vd Ve U

Vb U Ve

Vc

0.007)) U

2 * 1.414* Vb 2 * C1 2 * 1* Ve

2 * C1

2 * C2

Vd

0.714* C 2

2 * 1.414* Vc 2 * C2

Vc

0.714* C 2

Ve

0.714* C1

0.714* C1

(C 2

C1 )

0.015 0

0.714* C 2

0.714* C 2

(C 2

C1 )

0.007

C2

C1

0

0

0.007 0.015

0

0 0

0.007

Vb

Vd ) 1* Ve

0.714* C1

0.015

0.007

2.429* C 2

2.429* C1

Vb

2

0.015)

2 * C1

Va

Va

Vc

2

2 * 1.414* Va

0.714* C1

C1

Vb

Vb Ve

Va

C1

2

0

0.00633 Vc

Nivelación de Bancos de Nivel

C1 0.00466

0.00886

Vd

C2

0.00466 Ve

0.00653 0.00233

Proyecto Nº 1

CIV-2214-“B” Topografía II







 















_______

Aux. Alexis A. Dávalos Zuleta

  



  

  

Nivelación de Bancos de Nivel

Proyecto Nº 1

CIV-2214-“B” Topografía II

 

_______

PUNTO

NORTE

ESTE

ELEVACIÓN

BMI BMII BMIII BMIV BMV BMVI BMVIII BM XV BMXVI BMXVII BMXVIII

8010276 8010116 8009905 8009769 8009616 8009502 8009501 8009816 8009897 8010187 8010254

697528 697482 697432 697411 697393 697402 697255 697176 697004 697212 696880

3726 3729 3729 3725 3726 3727 3735 3746 3751 3739 3753

















Aux. Alexis A. Dávalos Zuleta

 Según direcciones del croquis Tramo I-XVIII XVIII-XVII II-I XVII-II XVII-II XVI-XVII XVI-XVII XVI-II XVI-II III-II III-XVI III-XVI XVI-XV III-XV III-XV III-IV XV-IV XV-IV XV-VIII VIII-IV VIII-IV VI-IV VI-VIII

a b c d d e e f f g h h i j j k l l m n n o p

a b c d e f g h i j k l m n o p

Nivelación de Bancos de Nivel

Em. 0,0035 0,0035 0,0025 0,0005 0,0035 0,005 0,003 0,039 0,0125 0,005 0,002 0,003 0,001 0,001 0,008 0,002 0,002 0,015 0,2565 0,014 0,004 0,0035 0,002

Desn. 35,548 -26,194 -2,223 -6,901 -15,951 -22,953 0,236 23,09 -7,135 15,931 -2,462 -18,366 -10,655 -7,968 -2,507 4,262

Desnivel Distancia 35,548 648,373 -26,194 338,693 -2,223 166,481 -6,890 279,179 -6,976 279,179 -16,023 356,881 -15,907 356,881 -22,781 525,780 -23,008 525,780 0,236 216,843 23,108 428,075 23,064 428,075 -7,135 190,118 15,931 271,029 15,932 271,029 -2,462 137,612 -18,398 239,654 -18,342 239,654 -10,655 324,755 -7,590 310,097 -8,076 310,097 -2,507 267,152 4,262 356,881

Dist. 648,373 338,693 166,481 279,179 356,881 525,78 216,843 428,075 190,118 271,029 137,612 239,654 324,755 310,097 267,152 356,881

Peso Corr V. 1 Va 1,914 Vb 3,895 Vc 2,322 Vd 1,817 Ve 1,233 Vf 2,99 Vg 1,515 Vh 3,41 Vi 2,392 Vj 4,712 Vk 2,705 Vl 1,996 Vm 2,091 Vn 2,427 Vo 1,817 Vp

Proyecto Nº 1

CIV-2214-“B” Topografía II

_______

a b c d e f g h i j k l m n o p

Desn. 35,548 -26,194 -2,223 -6,901 -15,951 -22,953 0,236 23,09 -7,135 15,931 -2,462 -18,366 -10,655 -7,968 -2,507 4,262

Aux. Alexis A. Dávalos Zuleta

Correcion V Desn. Corregido -0.107 35.441 -0.056 -26.250 -0.027 -2.250 -0.040 -6.941 0.008 -15.943 0.069 -22.884 -0.033 0.203 -0.003 23.087 -0.031 -7.166 -0.010 15.921 0.028 -2.434 0.011 -18.355 -0.080 -10.735 0.347 -7.621 -0.365 -2.872 0.487 4.749

Coordenadas PUNTO Eevación l BMI BMII BMIII BMIV BMVI BMVIII BM XV BMXVI BMXVII BMXVIII



3725.866 3728.116 3727.913 3725.479 .728.350 3733.099 3743.834 3751 3735.057 3761.307

  

Nivelación de Bancos de Nivel

Proyecto Nº 1

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