metodo de minimos cuadrados

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2 |TOPOGRAFIA II PASO 1 Cotas delterreno=21.904 +21.53 + 21.025+ 20.40 +19.464+19.955+ 20.175+ 20.469+ Cotas delterreno=403.601 PASO 2 COTAS NATURALES DEL TERRENO (A) COTA MENOR DEL TERRENO (B) COTA NATURAL REDUCIDA A - B 21.904 17.684 4.22 21.53 17.684 3.846 21.025 17.684 3.341 20.4 17.684 2.716 METODO DE LOS MINIMOS CUADRADOS FICSA

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TOPOGRAFÍA II

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METODO DE LOS MINIMOS CUADRADOS

PASO 1 PASO 2COTAS NATURALES DEL TERRENO (A)COTA MENOR DEL TERRENO (B)COTA NATURAL REDUCIDAA - B

21.90417.6844.22

21.5317.6843.846

21.02517.6843.341

20.417.6842.716

19.46417.6841.78

19.95517.6842.271

20.17517.6842.491

20.46917.6842.785

17.83317.6840.149

18.29817.6840.614

20.0317.6842.346

21.66517.6843.981

17.68417.6840.00

20.3217.6842.636

19.82517.6842.141

20.98717.6843.303

19.10317.6841.419

20.40817.6842.724

21.08117.6843.397

21.44517.6843.761

SUMATORIA DE COTAS NATURALES REDUCIDAS (Z)49.921

PASO 3

PASO 4

PASO 5P= 20

921

.812

Resolviendo la ecuacin nos da que:c = 1.467005m = 0.57118n = 0.172275PASO 6

Zc= 1.467005 + 0.57118X + 0.172275Y

|TOPOGRAFIA II2

METODO DE LOS MINIMOS CUADRADOSFICSA

PASO 7COTAS NATURALES DEL TERRENO (A)COTAS CORREGIDASZc= 1.467005 + 0.57118X + 0.172275Y

COTA NATURAL CORREGIDASC= ZC + 17.684ALTURA DE CORTE (A C)ALTURA DE RELLENO (C A)

21.904 (0,3)1.9838319.66783 Corte 2.23617

21.53 (1,3)2.5550120.23901 Corte 1.29099

21.025 (2,3)3.1261920.81019 Corte 0.21481

20.4 (3,3)3.6973721.38137 Relleno 0.98137

19.464 (0,2)1.81155519.495555Relleno 0.031555

19.955 (1,2)2.38273520.066735Relleno 0.111735

20.175 (2,2)2.95391520.637915Relleno 0.462915

20.469 (3,2)3.52509521.209095Relleno 0.740095

17.833 (0,1)1.6392819.32328 Relleno 1.49028

18.298 (1,1)2.2104619.89446 Relleno 1.59646

20.03 (2,1)2.7816420.46564 Relleno 0.43564

21.665 (3,1)3.3528221.03682 Corte 0.62818

17.684 (0,0)1.46700519.151005 Relleno 1.467005

20.32 (1,0)2.03818519.722185 Corte 0.597815

19.825 (2,0)2.60936520.293365 Relleno 0.468365

20.987 (3,0)3.18054520.864545 Corte 0.122455

19.103 (0,-1)1.2947318.97873 Corte 0.12427

20.408 (1,-1)1.8659119.54991 Corte 0.85809

21.081 (2.-1)2.4370920.12109 Corte 0.95991

21.445 (3,-1)3.0082720.69227 Corte 0.75273

PLANO FINAL CON LAS COTAS NIVELADAS