174
columnas E= 2173706.5119284 AREA B 0.6 0.24 M2 H 0.4 DATOS 1 E 217370.65119284 TN/M2 2 I 0.0072 M4 3 L 7 M4 4 A 0.24 M2 5 ANG 0 GRADOS 6 COSENO 1 SENO 0 DATOS 7 E 217370.65119284 TN/M2 8 I 0.0072 M4 9 L 6 M4 10 A 0.24 M2 11 ANG 0 GRADOS 12

Matriz

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matriz analisis estructural

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Page 1: Matriz

columnas

E= 2173706.51192842

AREA B 0.6 0.24M2

H 0.4

1DATOS 1 7452.7080408974

E 217370.651192842 TN/M2 2 0

I 0.0072 M4 3 0

L 7 M44

-7452.7080408974

A 0.24 M2 5 0

ANG 0 GRADOS 6 0

COSENO 1

SENO 0

7DATOS 7 8694.8260477137

E 217370.651192842 TN/M2 8 0

I 0.0072 M4 9 0

L 6 M4 10 -8694.8260477137

A 0.24 M2 11 0

ANG 0 GRADOS 12 0

INERCIA PARA COLUMNA=

Page 2: Matriz

COSENO 1

SENO 0

13DATOS 13 0

E 0 TN/M2 14 0

I 0.0072 M415

0

L 7 M4 16 0

A 0.24 M2 17 0

ANG 0 GRADOS 18 0

COSENO 1

SENO 0

1

DATOS 1 16.302798839463

Page 3: Matriz

E 217370.651192842 TN/M2 2 0

I 0.0032 M4 3 65.211195357852

L 8 M4 13 -16.302798839463

A 0.24 M2 14 0

ANG 270 GRADOS 15 65.211195357852

COSENO 0

SENO -1

4DATOS 4 130.4223907157

E 217370.651192842 TN/M2 5 0

I 0.0032 M4 6 260.84478143141

L 4 M4 7 -130.4223907157

A 0.24 M2 8 0

ANG 270 GRADOS 9 260.84478143141

COSENO 0

SENO -1

Page 4: Matriz

7DATOS 7 130.4223907157

E 217370.651192842 TN/M2 8 0

I 0.0032 M4 9 260.84478143141

L 4 M4 16 -130.4223907157

A 0.24 M2 17 0

ANG 270 GRADOS 18 260.84478143141

COSENO 0

SENO -1

10DATOS 10 130.4223907157

E 217370.651192842 TN/M2 11 0

I 0.0032 M4 12 260.84478143141

L 4 M4 19 -130.4223907157

A 0.24 M2 20 0

ANG 270 GRADOS 21 260.84478143141

COSENO 0

SENO -1

Page 5: Matriz

19DATOS 19 0

E 0 TN/M2 20 0

I 0.0032 M4 21 0

L 3.5 M4 13 0

A 0.24 M2 14 0

ANG 90 GRADOS 15 0

COSENO 0

SENO 1

22DATOS 22 0

E 0 TN/M2 23 0

I 0.0032 M4 24 0

L 3.5 M4 16 0

A 0.24 M2 17 0

ANG 90 GRADOS 18 0

COSENO 0

SENO 1

Page 6: Matriz

1DATOS 1 0

E 0 TN/M2 2 0

I 0.003125 M4 3 0

L 3 M4 4 0

A 0.125 M2 5 0

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

1DATOS 1 0

E 0 TN/M2 2 0

I 0.003125 M4 3 0

L 3 M4 4 0

A 0.125 M2 5 0

Page 7: Matriz

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

1DATOS 1 0

E 0 TN/M22

0

I 0.003125 M4 3 0

L 3 M4 4 0

A 0.125 M2 5 0

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

1DATOS 1 0

Page 8: Matriz

E 0 TN/M2 2 0

I 0.003125 M4 3 0

L 3 M4 4 0

A 0.125 M2 5 0

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

1DATOS 1 0

E 0 TN/M2 2 0

I 0.003125 M4 3 0

L 3 M4 4 0

A 0.125 M2 5 0

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

Page 9: Matriz

1DATOS 1 0

E 0 TN/M2 2 0

I 0.003125 M4 3 0

L 4 M4 4 0

A 0.125 M2 5 0

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

1DATOS 1 0

E 0 TN/M2 2 0

I 0.003125 M4 3 0

L 5 M4 4 0

A 0.125 M2 5 0

ANG 90 GRADOS 6 0

COSENO 0

SENO 1

Page 10: Matriz

vigasF´C CONCRETO

0.0032 M4 F´C= 210 AREA B

H

K1 VIGA

2 3 4 5 60 0 -7452.708 0 0

54.7545896882 191.64106 0 -54.754589688 191.64106

191.641063909 894.32496 0 -191.64106391 447.16248

0 0 7452.708 0 0

-54.754589688 -191.6411 0 54.754589688 -191.6411

191.641063909 447.16248 0 -191.64106391 894.32496

K2 VIGA

8 9 10 11 120 0 -8694.826 0 0

86.9482604771 260.84478 0 -86.948260477 260.84478

260.844781431 1043.3791 0 -260.84478143 521.68956

0 0 8694.826 0 0

-86.948260477 -260.8448 0 86.948260477 -260.8448

260.844781431 521.68956 0 -260.84478143 1043.3791

Page 11: Matriz

K3 VIGA

14 15 16 17 180 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

K4 COLUMNA

2 3 13 14 15

0 65.211195 -16.3028 0 65.211195

Page 12: Matriz

6521.11953579 0 0 -6521.1195358 0

0 347.79304 -65.2112 0 173.89652

0 -65.2112 16.302799 0 -65.2112

-6521.1195358 0 0 6521.1195358 0

0 173.89652 -65.2112 0 347.79304

K5 COLUMNA

5 6 7 8 90 260.84478 -130.4224 0 260.84478

13042.2390716 0 0 -13042.239072 0

0 695.58608 -260.8448 0 347.79304

0 -260.8448 130.42239 0 -260.8448

-13042.239072 0 0 13042.239072 0

0 347.79304 -260.8448 0 695.58608

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K6 COLUMNA

8 9 16 17 180 260.84478 -130.4224 0 260.84478

13042.2390716 0 0 -13042.239072 0

0 695.58608 -260.8448 0 347.79304

0 -260.8448 130.42239 0 -260.8448

-13042.239072 0 0 13042.239072 0

0 347.79304 -260.8448 0 695.58608

K7 COLUMNA

11 12 19 20 210 260.84478 -130.4224 0 260.84478

13042.2390716 0 0 -13042.239072 0

0 695.58608 -260.8448 0 347.79304

0 -260.8448 130.42239 0 -260.8448

-13042.239072 0 0 13042.239072 0

0 347.79304 -260.8448 0 695.58608

Page 14: Matriz

K8 COLUMNA

20 21 13 14 150 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

K9 COLUMNA

23 24 16 17 180 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

Page 15: Matriz

K10 COLUMNA

2 3 4 5 60 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

K11 COLUMNA

2 3 4 5 60 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

Page 16: Matriz

0 0 0 0 0

K12 COLUMNA

2 3 4 5 60 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

K13 COLUMNA

2 3 4 5 60 0 0 0 0

Page 17: Matriz

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

K14 COLUMNA

2 3 4 5 60 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

Page 18: Matriz

K15 COLUMNA

2 3 4 5 60 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

K16 COLUMNA

2 3 4 5 60 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

Page 19: Matriz

0.4 0.24M2 0.0072 M4

0.6

INERCIAPARA VIGA

Page 20: Matriz

1 21 7469.0108397369 0

2 0 6575.87412547

3 65.211195357852 191.641063909

4 -7452.7080408974 0

5 0 -54.7545896882

6 0 191.641063909

7 0 0

8 0 0

9 0 0

10 0 0

11 0 0

Page 21: Matriz

12 0 0

13 -16.302798839463 0

14 0 -6521.11953579

15 65.211195357852 0

16 0 0

17 0 0

18 0 0

19 0 0

20 0 0

21 0 0

22 0 0

23 0 0

24 0 0

25 0 0

26 0 0

27 0 0

28 0 0

29 0 0

30 0 0

Page 22: Matriz
Page 23: Matriz

MATRIZ ENSAMBLADA

3 4 5 6 7 8 9 1065.211195 -7452.7080408974 0 0 0 0 0 0

191.64106 0 -54.754589688 191.64106 0 0 0 0

1242.118 0 -191.64106391 447.16248 0 0 0 0

0 7583.1304316131 0 260.84478 -130.4224 0 260.84478 0

-191.6411 0 13096.993661 -191.6411 0 -13042.23907157 0 0

447.16248 260.84478143141 -191.64106391 1589.911 -260.8448 0 347.79304 0

0 -130.4223907157 0 -260.8448 8955.6708 0 0 -8694.826

0 0 -13042.239072 0 0 26171.426403618 260.84478 0

0 260.84478143141 0 347.79304 0 260.84478143141 2434.5513 0

0 0 0 0 -8694.826 0 0 8825.2484

0 0 0 0 0 -86.948260477137 -260.8448 0

Page 24: Matriz

0 0 0 0 0 260.84478143141 521.68956 260.84478

-65.2112 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

173.89652 0 0 0 0 0 0 0

0 0 0 0 -130.4224 0 -260.8448 0

0 0 0 0 0 -13042.23907157 0 0

0 0 0 0 260.84478 0 347.79304 0

0 0 0 0 0 0 0 -130.4224

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 260.84478

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

Page 25: Matriz

MATRIZ ENSAMBLADA

11 12 13 14 15 16 17 18 190 0 -16.3028 0 0 0 0 0 0

0 0 0 -6521.12 0 0 0 0 0

0 0 -65.2112 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 -130.4224 0 260.84478 0

-86.94826 260.84478143141 0 0 0 0 -13042.24 0 0

-260.8448 521.68956286282 0 0 0 -260.8448 0 347.79304 0

0 260.84478143141 0 0 0 0 0 0 -130.4224

13129.187 -260.84478143141 0 0 0 0 0 0 0

Page 26: Matriz

-260.8448 1738.9652095427 0 0 0 0 0 0 -260.8448

0 0 16.302799 0 0 0 0 0 0

0 0 0 6521.1195 0 0 0 0 0

0 0 -65.2112 0 0 0 0 0 0

0 0 0 0 0 130.42239 0 -260.8448 0

0 0 0 0 0 0 13042.239 0 0

0 0 0 0 0 -260.8448 0 695.58608 0

0 -260.84478143141 0 0 0 0 0 0 130.42239

-13042.24 0 0 0 0 0 0 0 0

0 347.79304190855 0 0 0 0 0 0 -260.8448

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

Page 27: Matriz

20 21 22 23 24 25 26 27 280 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 260.84478 0 0 0 0 0 0 0

-13042.24 0 0 0 0 0 0 0 0

Page 28: Matriz

0 347.79304 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 -260.8448 0 0 0 0 0 0 0

13042.239 0 0 0 0 0 0 0 0

0 695.58608 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

Page 29: Matriz

29 300 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

Page 30: Matriz

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

Page 31: Matriz

1 2 3 4 5 6

1 7452.708 0 0 -7452.708 0 02 0 54.754589688226 191.64106 0 -54.7545897 191.641063 0 191.64106390879 894.32496 0 -191.641064 447.162484 -7452.708 0 0 7452.708 0 05 0 -54.754589688226 -191.6411 0 54.75458969 -191.64116 0 191.64106390879 447.16248 0 -191.641064 894.324967 0 0 0 0 0 08 0 0 0 0 0 09 0 0 0 0 0 0

10 0 0 0 0 0 011 0 0 0 0 0 0

12 0 0 0 0 0 013 0 0 0 0 0 014 0 0 0 0 0 015 0 0 0 0 0 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 0

19 0 0 0 0 0 020 0 0 0 0 0 0

Page 32: Matriz

21 0 0 0 0 0 022 0 0 0 0 0 023 0 0 0 0 0 024 0 0 0 0 0 025 0 0 0 0 0 026 0 0 0 0 0 027 0 0 0 0 0 028 0 0 0 0 0 029 0 0 0 0 0 030 0 0 0 0 0 0

1 2 3 4 5 6

10 0 0 0 0 0

2 0 0 0 0 0 03 0 0 0 0 0 04 0 0 0 0 0 0

5 0 0 0 0 0 0

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8 0 0 0 0 0 0

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10 0 0 0 0 0 0

11 0 0 0 0 0 0

12 0 0 0 0 0 0

13 0 0 0 0 0 0

14 0 0 0 0 0 0

15 0 0 0 0 0 0

16 0 0 0 0 0 0

Page 33: Matriz

17 0 0 0 0 0 0

18 0 0 0 0 0 0

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1 2 3 4 5 6

1 0 0 0 0 0 02 0 0 0 0 0 03 0 0 0 0 0 04 0 0 0 0 0 05 0 0 0 0 0 06 0 0 0 0 0 07 0 0 0 0 0 08 0 0 0 0 0 09 0 0 0 0 0 0

10 0 0 0 0 0 011 0 0 0 0 0 012 0 0 0 0 0 0

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13 0 0 0 0 0 014 0 0 0 0 0 015 0 0 0 0 0 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 019 0 0 0 0 0 020 0 0 0 0 0 021 0 0 0 0 0 022 0 0 0 0 0 023 0 0 0 0 0 024 0 0 0 0 0 025 0 0 0 0 0 026 0 0 0 0 0 027 0 0 0 0 0 028 0 0 0 0 0 029 0 0 0 0 0 030 0 0 0 0 0 0

1 2 3 4 5 6

1 16.302799 0 65.211195 0 0 02 0 6521.1195357852 0 0 0 03 65.211195 0 347.79304 0 0 04 0 0 0 0 0 05 0 0 0 0 0 06 0 0 0 0 0 07 0 0 0 0 0 08 0 0 0 0 0 09 0 0 0 0 0 0

10 0 0 0 0 0 011 0 0 0 0 0 012 0 0 0 0 0 013 -16.3028 0 -65.2112 0 0 0

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14 0 -6521.1195357852 0 0 0 015 65.211195 0 173.89652 0 0 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 019 0 0 0 0 0 020 0 0 0 0 0 021 0 0 0 0 0 022 0 0 0 0 0 023 0 0 0 0 0 024 0 0 0 0 0 025 0 0 0 0 0 026 0 0 0 0 0 027 0 0 0 0 0 028 0 0 0 0 0 029 0 0 0 0 0 030 0 0 0 0 0 0

1 2 3 4 5 61 0 0 0 0 0 02 0 0 0 0 0 03 0 0 0 0 0 04 0 0 0 130.42239 0 260.844785 0 0 0 0 13042.23907 06 0 0 0 260.84478 0 695.586087 0 0 0 -130.4224 0 -260.84488 0 0 0 0 -13042.2391 09 0 0 0 260.84478 0 347.79304

10 0 0 0 0 0 011 0 0 0 0 0 012 0 0 0 0 0 013 0 0 0 0 0 0

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14 0 0 0 0 0 015 0 0 0 0 0 016 0 0 0 0 0 017 0 0 0 0 0 018 0 0 0 0 0 019 0 0 0 0 0 020 0 0 0 0 0 021 0 0 0 0 0 022 0 0 0 0 0 023 0 0 0 0 0 024 0 0 0 0 0 025 0 0 0 0 0 026 0 0 0 0 0 027 0 0 0 0 0 028 0 0 0 0 0 029 0 0 0 0 0 030 0 0 0 0 0 0

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17 0 0 0 0 0 018 0 0 0 0 0 019 0 0 0 0 0 020 0 0 0 0 0 021 0 0 0 0 0 022 0 0 0 0 0 023 0 0 0 0 0 024 0 0 0 0 0 025 0 0 0 0 0 026 0 0 0 0 0 027 0 0 0 0 0 028 0 0 0 0 0 029 0 0 0 0 0 030 0 0 0 0 0 0

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1 2 3 4 5 61 0 0 0 0 0 02 0 0 0 0 0 03 0 0 0 0 0 04 0 0 0 0 0 05 0 0 0 0 0 06 0 0 0 0 0 07 0 0 0 0 0 08 0 0 0 0 0 09 0 0 0 0 0 0

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1 2 3 4 5 61 0 0 0 0 0 02 0 0 0 0 0 03 0 0 0 0 0 04 0 0 0 0 0 05 0 0 0 0 0 06 0 0 0 0 0 07 0 0 0 0 0 08 0 0 0 0 0 09 0 0 0 0 0 0

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K9

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

K10

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

K11

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Page 74: Matriz

K12

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

K13

Page 75: Matriz

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

K14

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 76: Matriz

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K15

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

Page 77: Matriz

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K16

16 17 18 19 20 21 22 23 24 250 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

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26 27 28 29 30

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Page 90: Matriz

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Page 91: Matriz

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Page 92: Matriz

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Page 93: Matriz

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Page 94: Matriz

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Page 95: Matriz

0 1 2 3 41 7469.0108397369 0 65.211195357852 -7452.7080408974

2 0 6575.8741254735 191.64106390879 0

3 65.211195357852 191.64106390879 1242.1180068162 0

4 -7452.7080408974 0 0 7583.1304316131

5 0 -54.754589688226 -191.64106390879 0

6 0 191.64106390879 447.16248245385 260.84478143141

7 0 0 0 -130.4223907157

8 0 0 0 0

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14 0 -6521.1195357852 0 0

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Page 96: Matriz

26 0 0 0 0

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FILA K15 15

Page 97: Matriz

FILA K18 18

FILA K21 21

1 2 3 41 0 0 0 0

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Page 98: Matriz

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Page 99: Matriz

1 2 3 41 7469.01084 0 65.2111954 -7452.70804

2 0 6575.87413 191.641064 0

3 65.2111954 191.641064 1242.11801 0

4 -7452.70804 0 0 7583.13043

5 0 -54.7545897 -191.641064 0

6 0 191.641064 447.162482 260.844781

7 0 0 0 -130.422391

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13 -16.3027988 0 -65.2111954 0

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Page 100: Matriz

25 0 0 0 0

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Qƒ=Cargas en los Grados de libertad libres

Page 101: Matriz

13 02 -283 -32.67

4 0

5 -28

6 32.67

7 0

8 -27

9 -27

10 0

11 -27

12 27

13 0

14 0

16 0

17 0

19 0

20 0

1 21 0.0182107397645 0.00016403239272 0.0001640323927 0.00045280175923 -0.0004451242818 -5.633990035E-054 0.018112501506 0.00016389823945 1.2612350389E-05 1.7842505349E-066 -0.001484170848 -6.07148854E-057 0.006181821911 1.620588374E-058 4.0325477482E-05 1.6107546391E-069 -0.0016743615624 -9.298341903E-0610 0.0061313727993 1.6046604479E-0511 -0.0003336615895 -1.430525047E-06

Qƒ=Cargas en los Grados de libertad libres

Kƒƒ´-1

1° Paso

3° Paso

Page 102: Matriz

12 -0.0002458570536 5.8639832292E-0714 0.0001086061385 0.000299800848915 -0.0003909085357 -3.167146222E-0717 3.2127479366E-05 1.2832950696E-0618 -0.0002913790642 -2.809581021E-0720 -0.0002977504643 -1.276561374E-0621 -0.0011381922878 -3.300391885E-06

Dr1 02 03 04 05 06 07 08 09 0

10 011 012 014 015 017 018 020 021 0

000

Qrprimario

4° Paso

8° Paso

Desplazamaientos Restrigidos

Page 103: Matriz

Reacciones

13 2.6093591060295

16 2.9773371423077

19 -5.5866962483372

Capacidad Portante14 -27.784311664629 X

17 -54.972225156458 X

20 -27.243463178912 X

12° Paso

Reacciones Halladas

Page 104: Matriz

5 6 7 8 90 0 0 0 0

-54.754589688226 191.64106390879 0 0 0

-191.64106390879 447.16248245385 0 0 0

0 260.84478143141 -130.4223907157 0 260.84478143141

13096.993661259 -191.64106390879 0 -13042.2390715705 0

-191.64106390879 1589.9110487248 -260.84478143141 0 347.79304190855

0 -260.84478143141 8955.6708291451 0 0

-13042.23907157 0 0 26171.4264036181 260.84478143141

0 347.79304190855 0 260.84478143141 2434.5512933598

0 0 -8694.8260477137 0 0

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0 0 0 260.84478143141 521.68956286282

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0 0 260.84478143141 0 347.79304190855

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Page 105: Matriz

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

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suelo elastico

K HELICOIDE

COLUMNA DATOS

15 KZ= 2839.89333 KS(BALASTO) 650

Iz 4.3690666666667B 1.6

H 3.2

K HELICOIDE

Page 106: Matriz

COLUMNA DATOS

18 KZ= 2839.89333 KS(BALASTO) 650

Iz 4.3690666666667B 1.6

H 3.2

K HELICOIDE

COLUMNA DATOS

21 KZ= 634.443333 KS(BALASTO) 650

Iz 0.9760666666667B 1.1

H 2.2

5 6 7 8 90 0 0 0 0

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Page 107: Matriz

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Page 108: Matriz

5 6 7 8 90 0 0 0 0

-54.7545897 191.641064 0 0 0

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0 260.844781 -130.422391 0 260.844781

13096.9937 -191.641064 0 -13042.23907157 0

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0 -260.844781 8955.67083 0 0

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0 347.793042 0 260.84478143141 2434.55129

0 0 -8694.82605 0 0

0 0 0 -86.948260477137 -260.844781

0 0 0 260.84478143141 521.689563

0 0 0 0 0

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0 0 0 -13042.23907157 0

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Page 109: Matriz

0 0 0 0 0

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ƒ=Cargas en los Grados de libertad libres

Page 110: Matriz

3 4 5 6 7-0.0004451242818 0.018112501506 1.2612350389E-05 -0.00148417084797565 0.006181821911-5.633990035E-05 0.0001638982394 1.7842505349E-06 -6.07148853987959E-05 1.620588374E-050.0009383236314 -0.0004378876593 4.6457602471E-05 -0.00026116092922012 -0.0003967103357-0.0004378876593 0.018148291086 1.3046443927E-05 -0.00148970262983627 0.0061918734314.6457602471E-05 1.3046443927E-05 0.0004491921509 6.08580461512258E-05 8.5637690425E-05-0.0002611609292 -0.0014897026298 6.0858046151E-05 0.000993991292557902 0.0002302139479-0.0003967103357 0.006191873431 8.5637690425E-05 0.000230213947909795 0.006138641023.6939026335E-05 4.0736905944E-05 0.0003728196474 5.06003201751605E-05 8.8375660093E-057.4988950817E-05 -0.001677368075 -3.696509542E-05 2.40179066186381E-05 -0.0005440164389-0.000393551739 0.0061413415996 8.6104924912E-05 0.00022906573625032 0.00609602317021.8666523323E-05 -0.0003342281421 5.3876095627E-06 -2.70414184833322E-07 -0.0001923707903

ƒ=Cargas en los Grados de libertad libres2° Paso

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1.9371671858E-05 -0.0002462253638 -5.65195334E-05 -4.24300166857582E-05 -0.0005847839916-3.730274807E-05 0.0001085173154 1.1813554478E-06 -4.01994334466653E-05 1.0729944404E-05-4.723562218E-05 -0.0003890958582 -3.134371908E-06 5.00721384297298E-05 -0.00011765845052.9429479339E-05 3.2455266172E-05 0.0002970269982 4.03134902268195E-05 7.0409264153E-052.1892132964E-05 -0.0002918248998 -2.681939432E-06 -1.93476922525253E-05 -0.00039938779911.6657494182E-05 -0.0002982560403 4.8077552202E-06 -2.41310212557547E-07 -0.00017166642477.2117641477E-05 -0.0011400510541 -2.107411938E-06 -3.38291294569018E-05 -0.0010426325991

Kfr*Dr1 02 03 04 05 06 07 08 09 0

10 011 012 014 015 017 018 020 021 0

(Krf)*(Df)13 2.6093591060294916 2.977337142307719 -5.58669624833723

5° Paso

9° Paso

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Reacciones Elasticas14 -0.0083486513415 X 3328

15 0.0023920380421 X 2839.893333333

17 -0.0165180965013 3328

18 0.0007179037792 2839.893333333

20 -0.0173194298658 1573

21 -0.0092385014015 634.4433333333

Capacidad Portante5.12 -142.2556757229 -14.22556757229

5.12 -281.45779280107 -28.145779280107

2.42 -65.929180892968 -6.5929180892968

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MATRIZ ENSAMBLADA

10 11 12 13 140 0 0 -16.302798839463 0

0 0 0 0 -6521.11953578525

0 0 0 -65.211195357852 0

0 0 0 0 0

0 0 0 0 0

0 0 0 0 0

-8694.8260477137 0 0 0 0

0 -86.948260477137 260.84478143141 0 0

0 -260.84478143141 521.68956286282 0 0

8825.2484384294 0 260.84478143141 0 0

0 13129.187332048 -260.84478143141 0 0

260.84478143141 -260.84478143141 1738.9652095427 0 0

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260.84478143141 0 347.79304190855 0 0

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Page 114: Matriz

0 0 0 0 0

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suelo elastico

FILA K14 14

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FILA K17 17

FILA K20 20

10 11 12 13 140 0 0 0 0

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Page 116: Matriz

0 0 0 0 0

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MATRIZ ENSAMBLADA PARA UN SUELO ELASTICO

Page 117: Matriz

10 11 12 13 140 0 0 -16.3027988 0

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0 0 0 -65.2111954 0

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0 -260.844781 521.689563 0 0

8825.24844 0 260.844781 0 0

0 13129.1873 -260.844781 0 0

260.844781 -260.844781 1738.96521 0 0

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Page 118: Matriz

0 0 0 0 0

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R=KCOLUMNA POR DEFORMACION

123456

7

8Kƒƒ

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9

10

1112

14

15

17

18

20

21

13

16

19

8 9 10 11 124.0325477482E-05 -0.0016743615624 0.0061313727993 -0.0003336615895 -0.00024585705364981.6107546391E-06 -9.298341903E-06 1.6046604479E-05 -1.430525047E-06 5.8639832291996E-073.6939026335E-05 7.4988950817E-05 -0.000393551739 1.8666523323E-05 1.9371671858242E-054.0736905944E-05 -0.001677368075 0.0061413415996 -0.0003342281421 -0.00024622536382590.0003728196474 -3.696509542E-05 8.6104924912E-05 5.3876095627E-06 -5.651953339627E-055.0600320175E-05 2.4017906619E-05 0.0002290657363 -2.704141848E-07 -4.243001668576E-058.8375660093E-05 -0.0005440164389 0.0060960231702 -0.0001923707903 -0.00058478399157950.0003730917829 -3.853604203E-05 8.881598449E-05 5.1459236262E-06 -5.642046192031E-05-3.853604203E-05 0.0006285582714 -0.0005365478162 8.7386308598E-05 -0.00011632614930258.881598449E-05 -0.0005365478162 0.0061680024234 -0.0001929524823 -0.0005957235858945.1459236262E-06 8.7386308598E-05 -0.0001929524823 0.0007049273823 0.00010565125475598

Kƒƒ2° Paso

Df=(Kff-1)((Qf)-(Kfr)(Dr))

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-5.642046192E-05 -0.0001163261493 -0.0005957235859 0.0001056512548 0.000738898482010891.0664835071E-06 -6.156448687E-06 1.0624485323E-05 -9.471531743E-07 3.8825537099548E-07-3.187880563E-06 3.3855779075E-05 -0.000116693422 6.5187052674E-06 4.4593104486722E-060.0002972438098 -3.070182853E-05 7.0760072472E-05 4.0997792325E-06 -4.495042190135E-05-2.729407054E-06 -2.169559911E-05 -0.0003969781941 5.5965724398E-06 5.4588149163405E-054.5920813097E-06 7.7981148494E-05 -0.0001721855107 0.0006290578897 9.4280286212983E-05-2.665010216E-06 0.0001356459645 -0.0010538885139 1.0214719032E-05 -7.638354524652E-05

(Qf)-(Kfr*Dr)1 02 -283 -32.674 05 -286 32.677 08 -279 -27

10 011 -2712 2714 015 017 018 020 021 0

(Krr)*(Dr)000

6° Paso

10° Paso

Df=(Kff-1)((Qf)-(Kfr)(Dr))

Page 121: Matriz

Reacciones Elasticas-27.784311664629 ton

6.7931328887069 ton.m

-54.972225156458 ton

2.0387701565582 ton.m

-27.243463178912 ton

-5.8613056241975 tom.m

Qr=(Krf)(Df)+(krr)(Dr)

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MATRIZ ENSAMBLADA

15 16 17 18 19 200 0 0 0 0 0

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Page 123: Matriz

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K RESORTE

COLUMNA DATOS

14 KV 3328 KS 650AZ 5.12B 1.6

H 3.2

K RESORTE

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COLUMNA DATOS

17 KV 3328 KS 650AZ 5.12B 1.6

H 3.2

K RESORTE

COLUMNA DATOS

20 KV 1573 KS 650AZ 2.42B 1.1

H 2.2

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Page 125: Matriz

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MATRIZ ENSAMBLADA PARA UN SUELO ELASTICO

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Page 127: Matriz

0 0 0 0 0 0

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R=KCOLUMNA POR DEFORMACION

1 2 3 4 5 67469.0108397369 0 65.2111953579 -7452.7080408974 0 0

0 6575.8741254735 191.641063909 0 -54.754589688226 191.6410639087965.211195357852 191.64106390879 1242.11800682 0 -191.64106390879 447.16248245385-7452.7080408974 0 0 7583.1304316131 0 260.84478143141

0 -54.754589688226 -191.64106391 0 13096.993661259 -191.641063908790 191.64106390879 447.162482454 260.84478143141 -191.64106390879 1589.9110487248

0 0 0 -130.4223907157 0 -260.84478143141

0 0 0 0 -13042.23907157 0

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0 0 0 260.84478143141 0 347.79304190855

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14 15 17 18 20 210.0001086061385 0 3.2127479E-05 -0.0002913790642 -0.0002977504643 -0.00113819228780.0002998008489 0 1.2832951E-06 -2.809581021E-07 -1.276561374E-06 -3.300391885E-06-3.730274807E-05 0 2.9429479E-05 2.1892132964E-05 1.6657494182E-05 7.2117641477E-050.0001085173154 0 3.2455266E-05 -0.0002918248998 -0.0002982560403 -0.00114005105411.1813554478E-06 0 0.000297027 -2.681939432E-06 4.8077552202E-06 -2.107411938E-06-4.019943345E-05 0 4.031349E-05 -1.934769225E-05 -2.413102126E-07 -3.382912946E-051.0729944404E-05 0 7.0409264E-05 -0.0003993877991 -0.0001716664247 -0.00104263259911.0664835071E-06 0 0.00029724381 -2.729407054E-06 4.5920813097E-06 -2.665010216E-06-6.156448687E-06 0 -3.070183E-05 -2.169559911E-05 7.7981148494E-05 0.00013564596451.0624485323E-05 0 7.0760072E-05 -0.0003969781941 -0.0001721855107 -0.0010538885139-9.471531743E-07 0 4.0997792E-06 5.5965724398E-06 0.0006290578897 1.0214719032E-05

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3.88255371E-07 0 -4.495042E-05 5.4588149163E-05 9.4280286213E-05 -7.638354525E-050.0003000305928 0 8.4967194E-07 -1.860228583E-07 -8.452135525E-07 -2.185195328E-06-2.096973138E-07 0.0003521259014 -2.539798E-06 5.3502753585E-06 5.8171140491E-06 2.1719785021E-058.496719446E-07 0 0.00029790187 -2.174530205E-06 3.6585307041E-06 -2.12322497E-06-1.860228583E-07 0 -2.17453E-06 0.0003144478217 4.9942279687E-06 6.3580783052E-05-8.452135525E-07 0 3.6585307E-06 4.9942279687E-06 0.0006297757664 9.1153355075E-06-2.185195328E-06 0 -2.123225E-06 6.3580783052E-05 9.1153355075E-06 0.0009785249618

Df1 0.007597992636 m2 -0.0126093172459 m3 -0.0419134726263 m4 0.0072478703594 m5 -0.0228964425074 m6 0.0378488131935 m7 0.0193371408635 m8 -0.0207330342014 m9 -0.0218006843246 m

10 0.0186946097516 m11 -0.0194082938277 m12 0.0213089002562 m14 -0.0083486513415 m15 0.0023920380421 m17 -0.0165180965013 m18 0.0007179037792 m20 -0.0173194298658 m21 -0.0092385014015 m

2.6093591060295 TON2.9773371423077 TON-5.5866962483372 TON

Qrcomplementario

7° Paso

11° Paso

Df=(Kff-1)((Qf)-(Kfr)(Dr))

Page 130: Matriz

Qr=(Krf)(Df)+(krr)(Dr)

Page 131: Matriz

MATRIZ ENSAMBLADA

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MATRIZ ENSAMBLADA PARA UN SUELO ELASTICO

Page 135: Matriz

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Page 136: Matriz

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MATRIZ ENSAMBLADA

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Page 139: Matriz

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Page 140: Matriz

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Page 141: Matriz

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-260.8448 0 0 130.42239

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1 2 3 4 5 6 7 81 0 0 0 0 0 0 0 02 0 0 0 0 0 0 0 03 0 0 0 0 0 0 0 04 0 0 0 0 0 0 0 05 0 0 0 0 0 0 0 06 0 0 0 0 0 0 0 07 0 0 0 0 0 0 0 08 0 0 0 0 0 0 0 09 0 0 0 0 0 0 0 010 0 0 0 0 0 0 0 011 0 0 0 0 0 0 0 012 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 021 0 0 0 0 0 0 0 0

MATRIZ ENSAMBLADA PARA UN SUELO ELASTICO1 2 3 4 5 6 7 8

1 7469.0108 0 65.211195 -7452.708 0 0 0 02 0 6575.8741 191.64106 0 -54.75459 191.64106 0 03 65.211195 191.64106 1242.118 0 -191.6411 447.16248 0 04 -7452.708 0 0 7583.1304 0 260.84478 -130.4224 05 0 -54.75459 -191.6411 0 13096.994 -191.6411 0 -13042.246 0 191.64106 447.16248 260.84478 -191.6411 1589.911 -260.8448 07 0 0 0 -130.4224 0 -260.8448 8955.6708 08 0 0 0 0 -13042.24 0 0 26171.4269 0 0 0 260.84478 0 347.79304 0 260.84478

10 0 0 0 0 0 0 -8694.826 011 0 0 0 0 0 0 0 -86.9482612 0 0 0 0 0 0 0 260.8447813 -16.3028 0 -65.2112 0 0 0 0 014 0 -6521.12 0 0 0 0 0 015 65.211195 0 173.89652 0 0 0 0 016 0 0 0 0 0 0 -130.4224 017 0 0 0 0 0 0 0 -13042.2418 0 0 0 0 0 0 260.84478 019 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0

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21 0 0 0 0 0 0 0 0

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9 10 11 12 13 14 15 16 170 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 3328 0 0 00 0 0 0 0 0 2839.8933 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 33280 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

MATRIZ ENSAMBLADA PARA UN SUELO ELASTICO9 10 11 12 13 14 15 16 170 0 0 0 -16.3028 0 0 0 00 0 0 0 0 -6521.12 0 0 00 0 0 0 -65.2112 0 0 0 0

260.84478 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

347.79304 0 0 0 0 0 0 0 00 -8694.826 0 0 0 0 0 -130.4224 0

260.84478 0 -86.94826 260.84478 0 0 0 0 -13042.242434.5513 0 -260.8448 521.68956 0 0 0 -260.8448 0

0 8825.2484 0 260.84478 0 0 0 0 0-260.8448 0 13129.187 -260.8448 0 0 0 0 0521.68956 260.84478 -260.8448 1738.9652 0 0 0 0 0

0 0 0 0 16.302799 0 0 0 00 0 0 0 0 9849.1195 0 0 00 0 0 0 -65.2112 0 2839.8933 0 0

-260.8448 0 0 0 0 0 0 130.42239 00 0 0 0 0 0 0 0 16370.239

347.79304 0 0 0 0 0 0 -260.8448 00 -130.4224 0 -260.8448 0 0 0 0 00 0 -13042.24 0 0 0 0 0 0

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0 260.84478 0 347.79304 0 0 0 0 0

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18 19 20 210 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0

2839.8933 0 0 00 0 0 00 0 1573 00 0 0 634.44333

18 19 20 210 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0

260.84478 0 0 00 0 0 0

347.79304 0 0 00 -130.4224 0 260.844780 0 -13042.24 00 -260.8448 0 347.793040 0 0 00 0 0 00 0 0 0

-260.8448 0 0 00 0 0 0

3535.4794 0 0 00 130.42239 0 -260.84480 0 14615.239 0

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0 -260.8448 0 1330.0294