ejercicio de armadura

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ejercicio realizado por el método de rigidez matricial o meto de la rigidez

Transcript of ejercicio de armadura

EJE 1

AREA 0.003 m2EA 20000000 tn/m2

NUDO FUERZAS APLICADASX Y

1 5 22 7 -63 5 44 5 25 7 -66 7 -67 7 -68 7 -69 0 0

10 0 011 0 012 0 0

DATOS DE LAS BARRASBARRAS INICIO FIN AREA

1 12 10 0 -2 5 12

2 1 2

1

2

3

4

5

6

7

8

9

10

11

12

13

1

-2 5 0 73 1 3

-2 5 2 54 12 3

0 0 2 55 12 11

0 0 2 06 3 2

2 5 2 77 11 3

2 0 2 58 2 4

2 7 9 79 3 5

2 5 9 510 3 6

2 -5 6 -411 11 6

2 0 6 412 11 10

2 0 5 013 10 6

5 0 6 414 6 7

6 4 9 415 10 9

5 0 9 016 5 4

9 5 9 717 5 8

-9 5 -11 418 7 8

9 4 11 419 9 7

9 0 9 420 8 4

11 4 9 721 9 8

9 0 11 4

1A -0.371390676 0 At

0.928476691 00 -0.3713906760 0.928476691 k_

A1 -4137.931034 4137.931034

110344.82759 -10344.82759 K4137.931034 -4137.931034-10344.82759 10344.82759

2A 0.447213595 0 At

0.447213595 00 0.4472135950 0.447213595 k_

A1 4982.728791 -4982.7287914982.728791 -4982.728791 K-4982.728791 4982.728791-4982.728791 4982.728791

2A 0.447213595 0 At

0.447213595 00 0.4472135950 0.447213595 k_

A1 4982.728791 -4982.7287914982.728791 -4982.728791 K-4982.728791 4982.728791-4982.728791 4982.728791

3A 1 0 At

0 00 10 0 k_

A1 11141.72029 -11141.720290 0 K

-11141.72029 11141.720290 0

b 1 0.666666667d 2

2

LONGITUD CX CY K5.385164807 11141.72029

-0.371390676 0.9284766914.472135955 13416.40786

14

15

16

1718

19

20

21

2

3

4

5

6 7 8

9101112

0.447213595 0.4472135954 15000

1 05.385164807 11141.72029

0.371390676 0.9284766912 30000

1 02 30000

0 15 12000

0 17 8571.428571

1 07 8571.428571

1 04.123106 14552.13618

0.970142412 0.2425356035.656854 10606.60219

0.707106812 0.7071068123 20000

1 04.123106 14552.13618

0.242535603 0.9701424123 20000

1 04 15000

1 02 30000

0 12.236068 26832.81546

-0.894427182 -0.4472135912 30000

1 04 15000

0 13.605551 16641.00716

-0.554700239 0.8320503584.472136 13416.40773

0.447213591 0.894427182

-0.371390676 0.928476691 0 0

40 0 -0.371390676 0.928476691

11141.72029 -11141.72029-11141.72029 11141.72029

1536.789006 -3841.972514 -1536.789006 3841.9725144

-3841.972514 9604.931285 3841.972514 -9604.931285-1536.789006 3841.972514 1536.789006 -3841.9725143841.972514 -9604.931285 -3841.972514 9604.931285

0.447213595 0.447213595 0 0

50 0 0.447213595 0.447213595

12000 -12000-12000 12000

-1850.539016 -1850.539016 1850.539016 1850.5390164626.34754 4626.34754 -4626.34754 -4626.34754

1850.539016 1850.539016 -1850.539016 -1850.539016-4626.34754 -4626.34754 4626.34754 4626.34754

0.447213595 0.447213595 0 0

60 0 0.447213595 0.447213595

14552.13618 -14552.13618-14552.13618 14552.13618

-1850.539016 -1850.539016 1850.539016 1850.5390164626.34754 4626.34754 -4626.34754 -4626.34754

1850.539016 1850.539016 -1850.539016 -1850.539016-4626.34754 -4626.34754 4626.34754 4626.34754

1 0 0 0

60 0 1 0

15000 -15000-15000 15000

-4137.931034 0 4137.931034 010344.82759 0 -10344.82759 04137.931034 0 -4137.931034 0-10344.82759 0 10344.82759 0

A 0 0 At 00 0 00 00 0 k_ 0

0

A1 0 0

0 0 K 00 0 00 0 0

0

A 0 0 At 00 0 00 00 0 k_ 0

0

A1 0 00 0 K 00 0 00 0 0

0

A 0 0 At 00 0 00 00 0 k_ 0

0

A1 0 00 0 K 00 0 00 0 0

0

A 0 0 At 00 0 00 00 0 k_ 0

0

A1 0 00 0 K 00 0 00 0 0

0

0 0 00 0 0

00

0 0 00 0 00 0 00 0 0

0 0 00 0 0

00

0 0 00 0 00 0 00 0 0

0 0 00 0 0

00

0 0 00 0 00 0 00 0 0

0 0 00 0 0

00

0 0 00 0 00 0 00 0 0

EJE 4

NUDO FUERZAS APLICADASX Y

1 1 02 0 03 0 -24 0 05 0 0

0.003 4 x0.00075

ENSAMBLANDO MATRICES1 2 3 4

16711.76196947 -12998.037087 -16711.761969 12998.037087-12998.0370874 53796.7844013 12998.037087 -10109.584401

0 12998.0370874 16711.761969 -12998.03708712998.03708736 -10109.584401 -12998.037087 44088.517735

0 0 0 00 -43687.2 0 -33978.933333

1 2

Kuu7.3685132E-005 1.780333E-005

F5

1.7803333E-005 0.00002289 5

D0.0004574423 1 R 2.64466725820.0002034667 2 3.8888888889

3 04 -8.888888888956

EJE 4

A 0.03 m2E 10193680 tn/m2

DATOS DE LAS BARRASBARRAS INICIO FIN

1 3 10 0 0 7

BARRAS INICIO FIN

2 1 20 7 9 0

BARRAS INICIO FIN

3 3 20 0 0 9

ENSAMBLANDO MATRICES5 60 0 10 -43687.2 20 0 30 -33978.933333 40 0 50 77666.133333 6

3456

DATOS DE LAS BARRASE tn/m2 AREA m2 LONGITUD CX CY

10193680.0000 0.03 7 0 1

E tn/m2 AREA m2 LONGITUD CX CY

10193680 0.03 11.40175425 0.789352217 -0.613940614

E tn/m2 AREA m2 LONGITUD CX CY

10193680 0.03 9 0 1

ENSAMBLANDO MATRICES

DATOS DE LAS BARRASK

43687.20000

K

26821.346370749

K

33978.933333333

1K_ 43687.2 -43687.2

-43687.2 43687.2

A0 01 00 00 15 6

K0 00 43687.20 00 -43687.2

2K_ 26821.34637 -26821.34637

-26821.34637 26821.34637

A0.789352217 0-0.613940614 0

0 0.7893522170 -0.6139406141 2

K16711.762 -12998.04-12998.04 10109.584

0 12998.03712998.037 -10109.58

1AT 0 1 0 0

0 0 0 1

OP0 0

43687.2 -43687.20 0

-43687.2 43687.21 20 0 5 K 43687.20 -43687.2 6 CX 00 0 1 CY 1

0 43687.2 2

2AT 0.789352217 -0.613940614 0 0

0 0 0.789352217 -0.613940614

OP21171.48923 -21171.48923-16466.71385 16466.71385-21171.48923 21171.4892316466.71385 -16466.71385

3 4-16711.76 12998.037 1 K 26821.3463712998.037 -10109.58 2 CX 0.78935221716711.762 -12998.04 3 CY -0.613940614

-12998.04 10109.584 4

VALORES

VALORES

3K_ 33978.93333 -33978.93333 AT 0 1

-33978.93333 33978.93333 0 0

A0 0

OP0 0

1 0 33978.93333 -33978.933330 0 0 00 1 -33978.93333 33978.933335 6 3 4

K0 0 0 0 50 33978.933 0 -33978.93 60 0 0 0 30 -33978.93 0 33978.933 4

30 00 1

K 33978.93333CX 0CY 1

VALORES

1K_ 12600 -12600 AT-12600 12600

A1 0

OP2 00 10 2

K#REF! #REF! #REF!#REF! #REF! #REF!#REF! #REF! #REF!#REF! #REF! #REF!

2

K_ 26821.3464 -26821.3464-26821.3464 26821.3464

A0.78935222 0-0.61394061 0

0 0.789352220 -0.61394061

K0 0

34484.5882 -26821.34640 0

K-34484.5882 26821.3464

11 2 0 00 0 1 2

12600 #REF!25200-12600-25200#REF! K 12600#REF! CX 1#REF! CY 2#REF!

5

K_

A

K

2 6

AT 0.78935222 -0.61394061 0 0 K_0 0 0.78935222 -0.61394061

OP34484.5882 -34484.5882

A-26821.3464 26821.3464-34484.5882 34484.588226821.3464 -26821.3464

0 0 K 26821.3464

K-34484.5882 26821.3464 CX 0.789352220 0 CY -0.61394061

VALORES

VALORES

34484.5882 -26821.3464K

5

0 0 AT 0 0 00 0 0 0 00 0

OP0 0

0 0 0 00 0 0 00 0 0 00 0 0 0 K0 0 0 0 CX0 0 0 0 CY0 0 0 0

6

0 0 AT 0 0 00 0 0 0 00 0

OP0 0

0 0 0 00 0 0 00 0 0 00 0 0 0 K0 0 0 0 CX0 0 0 0 CY

VALORES

VALORES

0 0 0 0

5

0 30 K_ 33978.9333

-33978.9333

A010

0 00

K0

0 000

6

0 40 K_ 0

0

A000

0 00

K0

0 0

K 00

3-33978.9333 AT 0 1 0 033978.9333 0 0 0 1

0

OP0 0

0 43687.2 -43687.20 0 01 -43687.2 43687.20 0 0 K 33978.9333

43687.2 0 -43687.2 CX 00 0 0 CY 1

-43687.2 0 43687.2

40 AT 0 0 0 00 0 0 0 00

OP0 0

0 0 00 0 00 0 00 0 0 K 00 0 0 CX 0

VALORES

VALORES

0 0 0 CY 00 0 0

VALORES

7K_ 0 0 AT 0 0

0 0 0 0

A0 0

OP0 0

0 0 0 00 0 0 00 0 0 0

K0 0 0 00 0 0 00 0 0 00 0 0 0

VALORES

70 00 0

K 0CX 0CY 0

A 0.03 m2E 21000000 tn/m2

DATOS DE LAS BARRASBARRAS INICIO FIN

1 6 10 0 0

BARRAS INICIO FIN

2 1 20 2 0

BARRAS INICIO FIN

3 2 30 4 4

BARRAS INICIO FIN

4 1 30 2 4

BARRAS INICIO FIN

5 1 5

5 0 2 4BARRAS INICIO FIN

6 6 50 0 4

BARRAS INICIO FIN

7 5 34 0 4

BARRAS INICIO FIN

8 3 44 2 8

BARRAS INICIO FIN

9 5 44 0 8

BARRAS INICIO FIN

0 1 315000 16 0 1

0 1 315000 21 0 2

0.894427191 -0.4472135955 140872 32 0 3

1 0 157500 41 0 3

0.894427191 -0.4472135955 140872 51 0 5

1 0 157500 66 0 5

0 1 315000 75 0 3

0.894427191 -0.4472135955 140872 8

3 0 4

1 0 157500 95 0 4

DATOS DE LAS BARRASFIN E tn/m2 AREA m2 LONGITUD CX CY1

21000000 0.03 2 0 12

FIN E tn/m2 AREA m2 LONGITUD CX CY2

21000000 0.03 2 0 14

FIN E tn/m2 AREA m2 LONGITUD CX CY3

21000000 0.03 4.472135955 0.894427191 -0.4472135952

FIN E tn/m2 AREA m2 LONGITUD CX CY3

21000000 0.03 4 1 02

FIN E tn/m2 AREA m2 LONGITUD CX CY5

21000000 0.03 4.472135955 0.894427191 -0.447213595

021000000 0.03 4.472135955 0.894427191 -0.447213595

FIN E tn/m2 AREA m2 LONGITUD CX CY5

21000000 0.03 4 1 00

FIN E tn/m2 AREA m2 LONGITUD CX CY3

21000000 0.03 2 0 12

FIN E tn/m2 AREA m2 LONGITUD CX CY

4 21000000 0.03 4.472135955 0.894427191 -0.4472135950

FIN E tn/m2 AREA m2 LONGITUD CX CY4

21000000 0.03 4 1 00

FIN E tn/m2 AREA m2 LONGITUD CX CY

FUERZA AXIAL EN CADA ELEMENTO1

AT0 1 0 00 0 0 1

K_315000 -315000

K_*AT0

-315000 315000 0

D0 110 12

D 0.000103027 12.42019E-005 2

F1 -7.6236067987.6236068

2

AT0 1 0 00 0 0 1

K_315000 -315000

K_*AT0

-315000 315000 0

D0.000103027 12.42019E-005 20.000146975 33.21384E-005 4

F1-2.5

2.53

AT0.894427191 -0.447213595 0 0

0 0 0.894427191 -0.447213595

K_140872 -140872

K_*AT126000

-140872 140872 -126000

D0.000146975 33.21384E-005 40.000072851 5-2.7377E-005 6

F15.590169944

-5.590169943

AT1 0 0 00 0 1 0

K_157500 -157500

K_*AT157500

-157500 157500 -157500

D0.000103027 12.42019E-005 20.000072851 5-2.7377E-005 6

F14.752786405

F1-4.7527864

5

AT0.894427191 -0.447213595 0 0

0 0 0.894427191 -0.447213595

K_140872 -140872

K_*AT126000

-140872 140872 -126000

D0.000103027 12.42019E-005 2

0 90 8

F111.45673309

-11.45673316

AT1 0 0 00 0 1 0

K_157500 -157500

K_*AT157500

-157500 157500 -157500

D0 110 120 90 8

F10

07

AT0 1 0 00 0 0 1

K_315000 -315000

K_*AT0

-315000 315000 0

D0 90 8

0.000072851 5-2.7377E-005 6

F18.623606798

-8.62360688

AT0.894427191 -0.447213595 0 0

0 0 0.894427191 -0.447213595

K_140872 -140872

K_*AT126000

-140872 140872 -126000

D0.000072851 5-2.7377E-005 6

0 70 8

F110.90394669

-10.90394679

AT1 0 0 00 0 1 0

K_157500 -157500

K_*AT157500

-157500 157500 -157500

D0 90 100 70 8

F10

0

DATOS DE LAS BARRASK

3150000 1 315000 0 16 0 1 6 0

K 0 1

3150000 1 315000 1 01 0 2 1 0

K 2 0

140872.282582491 0 140872 1 02 0 3 1 0

K 1 0

1575001 0 157500 1 01 0 3 1 0

K 6 0

140872.282582491 0 140872 0 1

140872.282582491 0 5 5 0

K 1 0

1575001 0 157500 3 06 0 5 1 0

K 5 0

3150000 1 315000 0 05 0 3 0 0

K 0 0

140872.282582491 0 140872 0 0

3 0 4 0 0

K 0 0

1575001 0 157500 0 05 0 4 0 0

K 0 00 0 0 0 00 0 0 0 0

0 0

0 0 0 0 0

0 0 0 0 00 0

0 0 0 0 00 0 0 0 0

0 00 0 0 0 00 0 0 0 0

0 0

0 0 0 0 0

0 0 0

0 0 00 0 0

0 0 00 0 0

0 0 00 0 0

0 0 00 0 0

0 0 00 0 0

0 0 00 0 0

FUERZA AXIAL EN CADA ELEMENTO1

315000 0 -315000-315000 0 315000

2

315000 0 -315000-315000 0 315000

3

-63000 -126000 6300063000 126000 -63000

3

0 -157500 00 157500 0

5

-63000 -126000 6300063000 126000 -63000

6

0 -157500 00 157500 0

7

315000 0 -315000-315000 0 315000

8

-63000 -126000 6300063000 126000 -63000

9

0 -157500 00 157500 0

1K_ 315000 -315000

3150001

-315000 3150001 A 0 0

3150002

1 02 0 0

140872 3 0 13 11 12

1575004 K 0 0

3 0 315000140872 5 0 0

5 0 -315000157500

65

3150007

1

3 7 1 2 3

140872 8 0 0 04 0 315000 0

1575009 0 0 0

4 0 0 00

100 0 0

0 0 0 00

110 0 0

0 0 0 00

12 0 0 00 0 0 00

130 0 0

0 0 -315000 00 1400

150

0 1600 1700 1800

190

0 200

MATRIX GLOBAL1 2 3

1 270197.8260660 -56348.9130330 0.00000002 -56348.9130330 658174.4565165 0.00000003 0.0000000 0.0000000 112697.82606604 0.0000000 -315000.0000000 -56348.91303305 -157500.0000000 0.0000000 -112697.82606606 0.0000000 0.0000000 56348.91303307 0.0000000 0.0000000 0.00000008 0.0000000 0.0000000 0.00000009 -112697.8260660 56348.9130330 0.0000000

10 56348.9130330 -28174.4565165 0.000000011 0.0000000 0.0000000 0.000000012 0.0000000 -315000.0000000 0.000000013 0.0000000 0.0000000 0.0000000

14 0.0000000 0.0000000 0.000000015 0.0000000 0.0000000 0.000000016 0.0000000 0.0000000 0.00000001718192021222324

K

1 6.028367264E-006 9.898520599E-007 3.834770421E-0062 9.898520599E-007 3.076502541E-006 2.086650482E-0063 3.834770421E-006 2.086650482E-006 1.679210210E-0054 9.898520599E-007 3.076502541E-006 0.0000036745 3.638569155E-006 5.974495274E-007 5.832165998E-0066 5.974495274E-007 9.810063313E-008 -4.99348894E-007789

101112131415161718

F

15 10 25 30 40 5

-11 60 70 8

F 0 90 100 110 120 130 140 150 160 170 18

1AT 0 1 0

0 0 0

OP 0 0315000 -315000

0 0-315000 315000

1 20 0 11 VALORES0 -315000 120 0 10 315000 2

1

4 5 6 7

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

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

MATRIX GLOBAL4 5 6 7

0.0000000 -157500.0000000 0.0000000 0.0000000-315000.0000000 0.0000000 0.0000000 0.0000000-56348.9130330 -112697.8260660 56348.9130330 0.0000000343174.4565165 56348.9130330 -28174.4565165 0.000000056348.9130330 382895.6521320 -112697.8260660 -112697.8260660-28174.4565165 -112697.8260660 371348.9130330 56348.9130330

0.0000000 -112697.8260660 56348.9130330 270197.82606600.0000000 56348.9130330 -28174.4565165 -56348.91303300.0000000 0.0000000 0.0000000 -157500.00000000.0000000 0.0000000 -315000.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

0.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

9.898520599E-007 3.638569155E-006 5.974495274E-0073.076502541E-006 5.974495274E-007 9.810063313E-008

0.000003674 5.832165998E-006 -4.99348894E-0076.251105716E-006 5.974495274E-007 9.810063313E-0085.974495274E-007 6.028367264E-006 9.898520599E-0079.810063313E-008 9.898520599E-007 3.076502541E-006

D

0.0001030274 12.420192634E-005 2

0.0001469749 33.213843428E-005 4

0.000072851 5-2.73765295E-005 6

78

D 9101112131415161718

101

Cx 0Cy 1K 315000

1

8 9 10 11

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

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

MATRIX GLOBAL8 9 10 11

0.0000000 -112697.8260660 56348.9130330 0.00000000.0000000 56348.9130330 -28174.4565165 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

56348.9130330 0.0000000 0.0000000 0.0000000-28174.4565165 0.0000000 -315000.0000000 0.0000000-56348.9130330 -157500.0000000 0.0000000 0.000000028174.4565165 0.0000000 0.0000000 0.0000000

0.0000000 427697.8260660 -56348.9130330 -157500.00000000.0000000 -56348.9130330 343174.4565165 0.00000000.0000000 -157500.0000000 0.0000000 157500.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

0.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

R

-9.7527864045 74.8763932023 8

-10.2472135955 913.7472135955 10

0 11-7.6236067977 12

R

1

12 13 14 15

0-315000

00000

0000

315000

MATRIX GLOBAL12 13 14 15

0.0000000 0.0000000 0.0000000 0.0000000-315000.0000000 0.0000000 0.0000000 0.0000000

0.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

315000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

0.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

1

16 17 181234567

8

910111213141516

17

18

MATRIX GLOBAL16 17 18 19 20

0.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.00000000.0000000

0.00000000.00000000.0000000

2K_

A

K

1 2

1

0000000

00000

MATRIX GLOBAL21 22 23 24

123456789

10111213

1415161718192021222324

2315000 -315000 AT 0 1 0-315000 315000 0 0 0

0 0 OP 0 01 0 315000 -3150000 0 0 00 1 -315000 315000

1 2 3 40 0 0 0 1 VALORES0 315000 0 -315000 20 0 0 0 30 -315000 0 315000 4

2

2 3 4 5 6 7

0 0 0 0 0 0315000 0 -315000 0 0 0

0 0 0 0 0 0-315000 0 315000 0 0 0

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

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

201

Cx 0Cy 1K 315000

2

8 9 10 11 12 13

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

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

2

14 15 16 17 181234567

8

910111213141516

2

3K_ 140872 -140872.2826 AT 0.894427191 -0.447213595

-140872.2826 140872.2826 0 0

A 1 0 OP 126000 -1260000 0 -63000 630000 0.894427191 -126000 1260000 -0.447213595 63000 -63000

3 4 5 6

K 112697.83 -56348.91 -112697.8 56348.913 3-56348.91 28174.457 56348.913 -28174.46 4-112697.8 56348.913 112697.83 -56348.91 556348.913 -28174.46 -56348.91 28174.457 6

3

1 2 3 4 5 6

0 0 0 0 0 00 0 0 0 0 00 0 112698 -56349 -112698 563490 0 -56349 28174 56349 -281740 0 -112698 56349 112698 -563490 0 56349 -28174 -56349 281740 0 0 0 0 0

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

30 0

0.894427191 -0.447213595

VALORES Cx 1Cy 0K 140872

3

7 8 9 10 11 12

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

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

3

13 14 15 16 17 18

3

1234567

8

910111213141516

4K_ 157500 -157500 AT 1

-157500 157500 0

A 1 0 OP 1575000 0 00 1 -1575000 0 0

1 2 5 6

K 157500 0 -157500 00 0 0 0

-157500 0 157500 00 0 0 0

3 4

1 2 3 4 5

157500 0 0 0 -1575000 0 0 0 00 0 0 0 00 0 0 0 0

-157500 0 0 0 1575000 0 0 0 00 0 0 0 0

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

40 0 00 1 0

-1575000

1575000

1 VALORES Cx 12 Cy 05 K 1575006

4

6 7 8 9 10 11

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

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

4

12 13 14 15 16 17

0000000

00000

4

181234567

8

910111213141516

5K_ 140872 -140872.2826 AT

-140872.2826 140872.2826

A 1 0 OP0 00 0.8944271910 -0.447213595

1 2 9

K 112697.83 -56348.91 -112697.8-56348.91 28174.457 56348.913-112697.8 56348.913 112697.8356348.913 -28174.46 -56348.91

4 5

1 2 3 4

112698 -56349 0 0-56349 28174 0 0

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

0 0 0 0-112698 56349 0 056349 -28174 0 0

0 0 0 00 0 0 0

50.894427191 -0.447213595 0 0

0 0 0.894427191 -0.447213595126000 -126000-63000 63000

-126000 12600063000 -63000

1056348.913 1 VALORES Cx 1

-28174.46 2 Cy 0

-56348.91 9 K 14087228174.457 10

5

5 6 7 8 9 10

0 0 0 0 -112698 563490 0 0 0 56349 -281740 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

0 0 0 0 0 00 0 0 0 112698 -563490 0 0 0 -56349 281740 0 0 0 0 00 0 0 0 0 0

5

11 12 13 14 15 16

0 00 00 00 00 00 00 0

0 00 00 00 00 0

5

17 181234567

8

910111213141516

6K_ 157500 -157500

-157500 157500

A 1 00 00 10 0

11 12

K 157500 00 0

-157500 00 0

5 6

1 2 3

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

0 0 00 0 00 0 00 0 00 0 0

6AT 1 0 0 0

0 0 1 0

OP 157500 -1575000 0

-157500 1575000 0

9 10-157500 0 11 VALORES Cx 1

0 0 12 Cy 0

157500 0 9 K 1575000 0 10

6

4 5 6 7 8 9

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

0 0 0 0 0 00 0 0 0 0 1575000 0 0 0 0 00 0 0 0 0 -1575000 0 0 0 0 0

6

10 11 12 13 14 15

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

0 0 00 -157500 00 0 00 157500 00 0 0

6

16 17 181234567

8

910111213141516

7K_ 315000

-315000

A 0100

9

K 0000

6 7

1 2

0 00 00 00 00 00 00 0

0 00 00 00 00 0

7-315000 AT 0 1 0 0315000 0 0 0 1

0 OP 0 00 315000 -3150000 0 01 -315000 315000

10 5 60 0 0 9 VALORES Cx

315000 0 -315000 10 Cy

0 0 0 5 K-315000 0 315000 6

7

3 4 5 6 7 8

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 315000 0 00 0 0 0 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 -315000 0 00 0 0 0 0 00 0 0 0 0 0

7

01

315000

7

9 10 11 12 13 14

0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 -315000 0 00 0 0 0

0 0 0 00 0 0 00 315000 0 00 0 0 00 0 0 0

7

15 16 17 181234567

8

910111213141516

8K_

A

K

7 8

1

0000000

00000

8140872 -140872.2826 AT 0.894427191 -0.447213595 0

-140872.2826 140872.2826 0 0 0.8944271911 0 OP 126000 -1260000 0 -63000 630000 0.894427191 -126000 1260000 -0.447213595 63000 -63000

5 6 7 8112697.83 -56348.91 -112697.8 56348.913 5 VALORES-56348.91 28174.457 56348.913 -28174.46 6-112697.8 56348.913 112697.83 -56348.91 756348.913 -28174.46 -56348.91 28174.457 8

8

2 3 4 5 6 7

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 112698 -56349 -1126980 0 0 -56349 28174 563490 0 0 -112698 56349 112698

0 0 0 56349 -28174 -563490 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

80

-0.447213595

Cx 1Cy 0K 140872

8

8 9 10 11 12 13

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

56349 0 0 0 0-28174 0 0 0 0-56349 0 0 0 0

28174 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

8

14 15 16 17 181234567

8

910111213141516

8

9K_ 157500 -157500 AT 1 0

-157500 157500 0 0

A 1 0 OP 157500 -1575000 0 0 00 1 -157500 1575000 0 0 0

9 10 7 8

K 157500 0 -157500 0 90 0 0 0 10

-157500 0 157500 0 70 0 0 0 8

9

1 2 3 4 5 6

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

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

90 01 0

VALORES Cx 1Cy 0K 157500

9

7 8 9 10 11 12

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

157500 0 -157500 0 0 0

0 0 0 0 0 0-157500 0 157500 0 0 0

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

9

13 14 15 16 17 18

9

1234567

8

910111213141516

10K_ 0 0

0 0

A 0 00 00 00 0

-1 0

K 0 00 00 00 0

9 10

1 2 3 4 5

10AT 0 0 0 0

0 0 0 0

OP 0 00 00 00 0

-1 00 0 -1 VALORES Cx 0

0 0 0 Cy 0

0 0 -1 K 00 0 0

10

6 7 8 9 10 11

10

12 13 14 15 16 17

10

181234567

8

910111213141516

11K_ 0 0 AT

0 0

A 0 0 OP0 00 00 0

-1 0 -1

K 0 0 00 0 00 0 00 0 0

10 11

1 2 3 4

110 0 0 00 0 0 00 00 00 00 0

00 -1 VALORES Cx 0

0 0 Cy 0

0 -1 K 00 0

11

5 6 7 8 9 10

11

11 12 13 14 15 16

11

17 181234567

8

910111213141516

12K_ 0 0

0 0

A 0 00 00 00 0

-1 0

K 0 00 00 00 0

11 12

1 2 3

12AT 0 0 0 0

0 0 0 0

OP 0 00 00 00 0

-1 00 0 -1 VALORES Cx 0

0 0 0 Cy 0

0 0 -1 K 00 0 0

12

4 5 6 7 8 9

12

10 11 12 13 14 15

12

16 17 181234567

8

910111213141516

12 13

1 2

13K_ 0 0 AT 0 0

0 0 0 0

A 0 0 OP 0 00 0 0 00 0 0 00 0 0 0

-1 0 -1 0

K 0 0 0 0 -10 0 0 0 00 0 0 0 -10 0 0 0 0

13

3 4 5 6 7 8

130 00 0

VALORES Cx 0Cy 0K 0

13

9 10 11 12 13 14

13

15 16 17 181234567

8

910111213141516

14K_

A

K

13

1

140 0 AT 0 0 00 0 0 0 00 0 OP 0 00 0 0 00 0 0 00 0 0 0

-1 0 -1 00 0 0 0 -1 VALORES0 0 0 0 00 0 0 0 -10 0 0 0 0

2 3 4 5 6 7

1400

Cx 0Cy 0K 0

8 9 10 11 12 13

14 15 16 17 181234567

8

910111213141516

15K_ 0 0 AT 0 0

0 0 0 0

A 0 0 OP 0 00 0 0 00 0 0 00 0 0 0

-1 0 -1 0

K 0 0 0 0 -10 0 0 0 00 0 0 0 -10 0 0 0 0

1 2 3 4 5 6

150 00 0

VALORES Cx 0Cy 0K 0

7 8 9 10 11 12

13 14 15 16 17 18

1234567

8

910111213141516

16K_ 0 0

0 0

A 0 00 00 00 0

-1 0

K 0 00 00 00 0

1 2 3 4 5

16AT 0 0 0 0

0 0 0 0

OP 0 00 00 00 0

-1 00 0 -1 VALORES Cx 0

0 0 0 Cy 0

0 0 -1 K 00 0 0

6 7 8 9 10 11

12 13 14 15 16 17

181234567

8

910111213141516

17K_ 0 0 AT

0 0

A 0 0 OP0 00 00 0

-1 0 -1

K 0 0 00 0 00 0 00 0 0

1 2 3 4

170 0 0 00 0 0 00 00 00 00 0

00 -1 VALORES Cx 0

0 0 Cy 0

0 -1 K 00 0

5 6 7 8 9 10

11 12 13 14 15 16

17 181234567

8

910111213141516

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