Verticalidad

SANTA FE COLON

Johnny Garcia

IMFICA

Ing A!e"andro J P#erto M

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ANGUL .E 2ASE

8 %%%%

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To!erancia

Grafica

α

vrs H

30.000

25.000

) 20.000 m ( H 15.000

10.000

5.000

0.000 0.000

2.500

a( grados)

5.000

Grafica

dα/dH

vrs

H

30.000

25.000

20.000

) m ( H 15.000

10.000

5.000

0.000 -1.000-0.750-0.500 -0.250 0.000 0.250 0.500 0.750 1.000

da/dH (grados/m)

Grafica

r

vrs

0.050

0.100

H

7.000

6.000

5.000

) m ( 4.000 H

3.000

2.000

1.000

0.000 0.000

r(m)

0.150

0.200

Grafica

dr/dH

vrs

H

20.000

18.000

16.000

14.000

) m ( H

12.000

10.000

8.000

6.000

4.000

2.000

0.000 -0.020 -0.015 -0.010 -0.005

0.000

dr/dH

0.005

0.010

0.015

0.020

METODO ANALITICO PARA EL CALCULO DE " D "

AB=

9.82 ANGULOS EN DECIMALES

1

81.7180555556

89.919444444

2

81.4333333333

90.193055556

77.31944444 93.7680556 76.541666667 95.395833333 77.43611111

93.6888889 76.7236111111 95.180555556

3

81.1430555556

90.477777778

77.56111111

93.6166667 76.890277778 94.969444444

4

80.85

90. 755555556

77. 675

5

80.5694444444

91.033333333

77.8

6

80.2902777778

91.3

7

80.0041666667

91.583333333

8

79.7152777778

91.858333333

78.15

93.2319444 77.809722222 93.880555556

9

79.4305555556

92.134722222

78.26944444

93.1583333 77.981944444 93.6611111111

10

79.4305555556

92.134722222

78.26944444

93.1583333 77.981944444 93.6611111111

BASE

82.0027777778

89.645833333

77.18611111

77.91805556

93.5 472222 7 7.0736 111111 94. 75555 5556 93.4555556

77.252777778

93.3833333 77.434722222 94.326388889

78.03194444 93.3027778 77.626388889 94.098611111

93.8305556

76.359722222 95.6111111111

ANGULO OPUESTO "C"

C 1

C

94.55

LADO DESCONOCIDO "AC"

C

AC1

AC2

AC3

8.3625

8.9125

8.0625

67.521265012 63.248109919 69.70595597

2

8.3736111111

8.875000000

8.095833333

67.431991092 63.518920155 69.44500035

3

8.3791666667

8.822222222

8.140277778

67.385640821 63.901020818 69.09098118

4

8.3944444444

8.7777777778

8.170833333

67.260366354 64.226888557 68.85621701

5

8.3972222222

8.7444444444

8.197222222

67.233187155 64.476114509 68.65610222

6

8.4097222222

8.6986111111

8.238888889

67.127607644 64.818088705 68.33196077

7

8.4125

8.6652777778

8.275

67.097250715 65.070857947 68.05575559

8

8.426 388889

8.6 180555556

8. 3097222 22

66. 9777947 3 65. 42931 3097 67. 79135998

9

8.4347222222

8.5722222222

8.356944444

66.900848936 65.781228306 67.42801048

10

8.4347222222

8.5722222222

8.356944444

66.900848936 65.781228306 67.42801048

BASE

8.3513888889

8.9833333333

8.029166667

67.609235507 62.748899711 69.96809951

COORDENADAS DE SECCIONES C1 X1

C2

C3

1

X2

1

9.7261

66.817101319

13.88391675

61.7054314 16.223236966

2

X3

3

2

10.0447

66.679666518

13.81715122

61.9978996

3

10.3752

66.58212404

13.7641638

4

10.6957

66.404505893

13.70965856

62.7466212 15.4030697111

67.111281196

5

11.0163

66.324525278

13.62540177

63.0199791 15.148979173

66.96393658

6

11.3215

66.165995589

13.56710168

63.3823191 14.865739636 66.695327027

7

11.6465

66.078739842

13.49350346

63.6564366

8

11.9582

65.901641077

13.43592232

64.0349202 14.314751769 66.262782688

67.79179065

15.947952579 67.588984913

62.4010277 15.670979582 67.290297069

14.58335995 66.474893621

9

12.2714

65.765762952

13.3739474

64.4073562

14.039855154 65.950125583

10

12.2714

65.765762952

13.3739474

64.4073562

14.039855154 65.950125583

9.4061

66.951723176

13.91675681

61.1861773

16.500249731 67.994681464

BASE

COMPONENTES DE SECCIONES PATA 1!PATA2 N

X

1 2

PATA2!PATA3

PATA1!PATA3



X



X

4. 1579

5. 111 669921 9

2.33 93202 14

6. 08635 925

6.4 972 0 .97 46893 302

3.7725

4.6817669584

2.130801358

5.59108535

5.9033 0.9093183955

3

3.3889

4.1810963525

1.906815783

4.88926938

5.2958 0.7081730287

4

3. 0139

3.6 57884 6621 1 .693 41114 99

4. 36465 997

4.7 073 0 .70 67753 033

5

2. 6091

3.3 04546 1546

1.52 35773 99

3. 94395 746

4.1 327 0. 6394113 021

6

2.2456

2.7836764824

1.298637958

3.31300792

3.5442 0.5293314381

7

1.8470

2.4223032605

1.08985649

2.81845704

2.9368 0.3961537783

8

1.4777

1.8667208878

0.878829447

2.2278625

9

1.1025

1.358406785

0.665907756

1.54276942

1.7684 0.1843626308

10

1.1025

1.358406785

0 .665907756

1.54276942

1.7684 0.1843626308

B AS E

4. 5106

5.7 65545 8587

2.58 34929 16

6. 80850 415

7.0 941 1 .04 29582 888

2.3565

DISTANCIAS DE LADOS DE SECCION 

LADO 1- 2 LADO 2-3

LADO 1-3

1

6.589

6.520

6.570

2

6.013

5.983

5.973

3

5.382

5.248

5.343

4

4.740

4.682

4.760

5

4.210

4.228

4.182

6

3.577

3.558

3.584

7

3.046

3.022

2.963

8

2.381

2.395

2.384

9

1.750

1.680

1.778

10

1.750

1.680

1.778

BASE

7.320

7.282

7.170



0.3611416111

COORDENADAS DE LA BASE

X#1

#1

9.4061411

X#2

#2

X#3

#3

66.95172318

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

9.406141059 66.9517231756

13.9168

61.1862 16.5002497

67.99468

COORDENADAS DEL PTO MEDIO DE CADA LADO DE LA BASE

COORDENADA 1$2

PARA

COORDENADA 1$2

D1 X

COORDENADA 1$2

PARA D2 

X

PARA D3 

X



15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

15.20850327 64.5904293907

12.9532 67.4732023 11.6614489

64.06895

PENDIENTES A INTER CEPTARSE PARA CALC. D1 PENDIENTE CENTRAL

PENDIENTE PERPENDICULAR

BASE

A Mb1

Mb1

M1

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

!0.40695387

2.457281

CALCULOS PARA "D1" COORDENADAS 

X



COMPONENTES X



D1

1

9.72760462 66.8209023

0.001547

0.003801

0.0041

2

1 0.0 4893 54 66. 690 1355

0. 004 260

0. 01 0469

0. 0113

3

10.366578 66.5608696

0.008650

0.021254

0.0229

4

10.703549

66.423738

0.007827

0.019232

0.0208

5

11.0 064 999 66. 300 4509

0. 009 797

0. 02 4074

0. 02 60

6

11.3 237 014 66. 171 3646

0. 002 185

0. 00 5369

0. 00 58

7

11.6 329 833

66 .0 4550 11

0. 013 527

0. 03 3239

0. 03 59

8

11.9 622 243

65 .9 11 5152

0. 004 018

0. 00 9874

0. 01 07

9

1 2.2 7838 53 65. 782 8523

0. 006 955

0. 01 7089

0. 01 85

10

1 2.2 7838 53 65. 782 8523

0. 006 955

0. 01 7089

0. 01 85

0.004104

PENDIENTES A INTERCEPTARSE PARA CALC. D2 PENDIENTE CENTRAL


BASE

A Mb2

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

!6.524779

0.1532619036

CALCULOS PARA "D2" COORDENADAS  1

X



13.838248 61.69843207

COMP ONENTES X 0.0456690754



D2

0.006999

0.0462

2

13.79292 61.99418582

0.0242313270

0.003714

0.0245

3

13.731338 62.39599668

0.0328262035

0.005031

0.0332

4

13.678336 62.74182067

0.0313226076

0.004801

0.0317

5

13.635468 63.02152195

0.0100666271

0.001543

0.0102

6

13.579872 63.38427631

0.0127703009

0.001957

0.0129

7

13.537135 63.66312368

0.0436318404

0.006687

0.0441

8

13.479138

64.0415435

0.0432156366

0.006623

0.0437

9

13.421945 64.41471243

0.0479979802

0.007356

0.0486

10

13.421945 64.41471243

0.0479979802

0.007356

0.0486

PENDIENTES A INT ERCEPTARSE PARA CALC. D3 PENDIENTE CENTRAL


BASE

A Mb3

Mb3

M3

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

0.8113025

!1.2325858612

CALCULOS PARA "D3" COORDENADAS 

COMPONENTES



X

X



D3

1

16.233928

67.7786136

0.010691

0.013177

0.0170

2

15.968689 67.56342514

0.020737

0.02556

0.0329

3

15.655521

67.309351

0.015458

0.019054

0.0245

4

15.40637 67.10721378

0.003300

0.004067

0.0052

5

15.181048 66.92440948

0.032068

0.039527

0.0509

6

14.878817 66.67920864

0.013077

0.016118

0.0208

7

14.600675 66.45355157

0.017315

0.021342

0.0275

8

14.33491 66.23793592

0.020158

0.024847

0.0320

9

14.016159

65.9793327

0.023696

0.029207

0.0376

10

14.016159

65.9793327

0.023696

0.029207

0.0376

Verticalidad

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