armadura método matricial

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DESCRIPTION

método matricial de una armadura idealizada en el programa ftool, con la que se pide calcular los desplazamientos , fuerzas internas, diagramas de cortantes y flectores. Se aplica el metodo paso a paso para obtener las matrices locales de cada elemento y las matriz ensamblada de la estructura general. Una vez obtenida la matriz se divide entre los libres y restringidos, para hallar desplazamientos se multiplica la inversa de la matriz de los libres pos las fuerzas en los nudos de la armadura . Para hallar las reacciones se multiplica la matriz debajo de los libres por los desplazamientos. Para hallas las fuerzas internas de cada barra se procede a multiplicar su matriz de cada elemento por los desplazamientos de la estructura en general, solo se toman los desplazamientos que afectan a ese elemento ....

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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 1 20 4 2

BARRAS INICIO FIN

2 2 32 7 4

BARRAS INICIO FIN

3 3 44 4 6

BARRAS INICIO FIN

4 4 56 7 8

BARRAS INICIO FIN

5 5 6

5 8 4 10BARRAS INICIO FIN

6 6 710 7 12

BARRAS INICIO FIN

7 8 712 0 12

BARRAS INICIO FIN

8 9 80 0 12

BARRAS INICIO FIN

9 9 10 0 0

DATOS DE LAS BARRASFIN E tn/m2 AREA m2 LONGITUD CX CY2

21000000 0.03 3.605551275 0.554700196 0.8320502947

FIN E tn/m2 AREA m2 LONGITUD CX CY3

21000000 0.03 3.605551275 0.554700196 -0.8320502944

FIN E tn/m2 AREA m2 LONGITUD CX CY4

21000000 0.03 3.605551275 0.554700196 0.8320502947

FIN E tn/m2 AREA m2 LONGITUD CX CY5

21000000 0.03 3.605551275 0.554700196 -0.8320502944

FIN E tn/m2 AREA m2 LONGITUD CX CY6

21000000 0.03 3.605551275 0.554700196 0.832050294

721000000 0.03 3.605551275 0.554700196 0.832050294

FIN E tn/m2 AREA m2 LONGITUD CX CY7

21000000 0.03 3.605551275 0.554700196 -0.8320502944

FIN E tn/m2 AREA m2 LONGITUD CX CY7

21000000 0.03 4 0 14

FIN E tn/m2 AREA m2 LONGITUD CX CY

8 21000000 0.03 12 1 00

FIN E tn/m2 AREA m2 LONGITUD CX CY1

21000000 0.03 4 0 14

DATOS DE LAS BARRASK

1747311 1 174731 1 1 1747311 0 2 1 0 2

K 1 -1 174731

174730.561810951 -1 174731 2 0 32 0 3 1 1 174731

K 3 0 4

174730.561810951 1 174731 1 -1 1747313 0 4 4 0 5

K 1 1 174731

174730.561810951 -1 174731 5 0 64 0 5 1 -1 174731

K 6 0 7

174730.561810951 1 174731 0 1 157500

174730.561810955 0 6 8 0 7

K 1 0 52500

174730.561810951 -1 174731 9 0 86 0 7 0 1 157500

K 9 0 1

1575000 1 157500 0 0 08 0 7 0 0 0

K 0 0 0

525001 0 52500 0 0 0

9 0 8 0 0 0

K 0 0 0

1575000 1 157500 0 0 09 0 1 0 0 0

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

0 0 0

0 0 0 0 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 00 0 0 0 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

K

1K_ 174731 -174730.56181095

1-174730.56181095 174730.561810947

A 1 0

21 00 0.5547001962

3 0 0.8320502943

1 2

4 K 53763.249788 80644.87468280644.874682 120967.31202

5 -53763.249788 -80644.874682-80644.874682 -120967.31202

6

7

7

8

9

10

11

12

13

14

15

16

17

18

19

20

MATRIX GLOBAL1 2 3

1 53763.2497881 80644.8746823 -53763.24978812 80644.8746823 278467.3120230 -80644.87468233 -53763.2497881 -80644.8746823 107526.49957604 -80644.8746882 -120967.3120230 0.00000005 0.0000000 0.0000000 -53763.24978816 0.0000000 0.0000000 80644.87468237 0.0000000 0.0000000 0.00000008 0.0000000 0.0000000 0.00000009 0.0000000 0.0000000 0.0000000

10 0.0000000 0.0000000 0.000000011 0.0000000 0.0000000 0.000000012 0.0000000 0.0000000 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 0.000000017 0.0000000 0.0000000 0.000000018 0.0000000 -157500.0000000 0.0000000192021222324

1 -15459084.862694 -9.52472023E-006 -15459192.3773272 2.461170015E-005 6.349206349E-006 3.413628472E-0053 -3511363.6017902 -5.95751777E-011 -3511386.19784244 -7965147.5072422 -5.67423173E-010 -7965204.11960765 153.9756961739 9.678748985E-011 156.37680012066 -5624135.7889186 -4.63181394E-010 -5624175.73651327 -1526186.9237304 -7.44569567E-011 -1526192.3391378 -4606575.1893065 -3.49018430E-010 -4606609.9258949 967856.427785821 9.678447291E-011 967876.603894302

10 -2943879.6216322 -2.34857477E-010 -2943897.297209711 -930621.68405911 -5.95635876E-011 -930623.1614259812 -1678227.5470736 -1.30625436E-010 -1678230.787000813 1588317.94851628 1.364989722E-010 1588321.3341259614 1065.541306926 8.293678559E-014 1065.543364022715161718

F

0 10 20 3

-10 40 50 60 7

-10 8

F 0 90 100 11

-10 120 130 140 150 160 170 18

1AT 0.5547001962 0.8320502943 0

0 0 0.5547001962

OP 96923.076923077 -96923.076923077145384.615384615 -145384.61538462-96923.076923077 96923.076923077-145384.61538462 145384.615384615

3 4-53763.249788 -80644.874682 1 VALORES-80644.874682 -120967.31202 253763.249788 80644.874682 380644.874682 120967.31202 4

MATRIX GLOBAL4 5 6 7

-80644.8746823 0.0000000 0.0000000 0.0000000-120967.3120230 0.0000000 0.0000000 0.0000000

0.0000000 -53763.2497881 80644.8746823 0.0000000241934.6240460 80644.2497881 -120967.3120230 0.000000080644.8746823 107526.4995760 0.0000000 -53763.2497881

-120967.3120230 0.0000000 241934.6240460 -80644.87468230.0000000 -53763.2497881 -80644.8746823 107526.49957600.0000000 -80644.8746823 -120967.3120230 0.00000000.0000000 0.0000000 0.0000000 -53763.24978810.0000000 0.0000000 0.0000000 80644.87468230.0000000 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 0.00000000.0000000 0.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000 0.0000000

15.0587937252 -19098429.429645 -2426237.431696 -10769703.48286-4.02094826E-011 4.736948164E-005 8.821614583E-006 2.747240823E-005

0.9850808325 -2518974.5747739 661607.963033686 -1154068.46156129.3824752617 -11052969.90318 -2058563.5964738 -6410423.3474933-1.6004255419 195.2819369623 24.3370986595 109.99252552197.6588043454 -9373523.3320483 -2499619.3470947 -5640971.04477311.2310966968 -2543660.4270301 -678290.87359894 -2692476.4818455.7711228529 -7677619.5260795 -2047409.2066321 -3845913.3951932-1.6003745339 1613045.20822387 430177.212682342 101.88082234253.8834753658 -4906482.4359155 -1308430.482446 -2050861.15341550.9849112446 -1551061.9183295 -413624.85302597 -1153976.19488492.1599515135 -2797077.6848877 -745895.77197587 -1281475.769615-2.2570731224 2647218.49253731 705929.181870401 769457.912663246-0.0013713978 1775.922351606 473.5846203262 813.6354147747

D

102002297.999307 1-0.0002843246 2

2484640.8744265 366345104.7495128 4-1021.7057139786 564687996.3627618 65792546.44351857 760825617.5966078 8

D -15054107.471264 946927848.3201328 10

6783696.915747 1132369312.0621698 12-41801099.094056 13-20551.944305267 14

15161718

10

0.8320502943

Cx 1Cy 1K 174731

MATRIX GLOBAL8 9 10 11

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 0.0000000

-80644.8746823 0.0000000 0.0000000 0.0000000-120967.3120230 0.0000000 0.0000000 0.0000000

0.0000000 -53763.2497881 80644.8746823 0.0000000241934.6240460 80644.8746823 -120967.3120230 0.000000080644.8746823 107526.4995760 0.0000000 -53763.2497881

-120967.3120230 0.0000000 241934.6240460 -80644.87468230.0000000 -53763.2497881 -80644.8746823 107526.49957600.0000000 -80644.8746823 -120967.3120230 0.00000000.0000000 0.0000000 0.0000000 -53763.2497881

0.0000000 0.0000000 0.0000000 80644.87468230.0000000 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

-7978945.2323373 -2952753.7784636 -2767585.7452456 -3772109.61308592.208658854E-005 0.000006841 0.000008332 9.819878472E-006-248363.98429628 -558359.88107332 148771.949180166 -335079.14892491-5153720.8319957 -1596262.5982504 -1944238.4629386 -2291353.6427599

81.1988844525 30.2730200595 28.0517543473 38.4919581441-4988090.7098761 -1224002.4955236 -2043401.0612219 -2067941.8821724-579148.08362653 -1302784.2197066 347327.242523104 -781722.1233932-4601937.8548689 -355459.50037268 -2274933.8550677 -1546768.1386051505482.22839574 -1612891.2232277 430134.34894501 -967740.82895021-3212184.3135254 -562197.50272429 -2219729.1174519 -1670780.6089789-678348.66865668 -1526132.6529288 -926452.97402017 -2915779.10221-1756297.0488282 -620036.54959388 -1315337.5688125 -372088.426802961957769.56845777 -595487.31753263 1047806.08165713 -2357292.09207181115.1092448828 393.6740024011 835.1349699659 236.246621788

R

0 13236931228.07949 2

0 344.7811256324 4

#N/A 5#N/A 6#N/A 7#N/A 8

R #N/A 9#N/A 10#N/A 11#N/A 12#N/A 13#N/A 14

15161718

MATRIX GLOBAL12 13 14 15

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 0.0000000

-80644.8746823 0.0000000 0.0000000 0.0000000-120967.3120230 0.0000000 0.0000000 0.0000000

0.0000000 -53763.2497881 80644.8746823 0.0000000241934.6240460 80644.8746823 -120967.3120230 0.000000080644.8746823 53763.2497881 -80644.8746823 0.0000000

-120867.3120230 -80644.8746823 278467.3120230 0.00000000.0000000 0.0000000 0.0000000 52500.00000000.0000000 0.0000000 -157500.0000000 0.00000000.0000000 0.0000000 0.0000000 -52500.00000000.0000000 0.0000000 0.0000000 0.0000000

-2221299.6263872 -440620.09961242 9.517941904E-0066.345912388E-006 3.019302610E-007 -2.71923577E-017

-101.088227199 -334986.73329294 2.334487009E-010-1480799.0254309 -70422.244212551 6.345138970E-006

22.5721124873 4.6383299129 -9.67183977E-011-1480716.5852044 152905.336868107 6.344918859E-006-107.7918220268 -781680.47352316 3.112758130E-011

-1480629.6759147 674028.744770013 6.344833628E-006-69.8808948602 -967585.30365637 8.477117861E-011

-1480604.4019633 550092.191345331 6.344869390E-006-22.00782927 -2915746.0904661 -4.37360949E-010

-1480636.3173404 1848866.04922121 6.345217479E-0062222342.59802095 -5690805.9890908 -4.97119173E-010

940.0865570417 -1173.8832042594 6.345177640E-006

MATRIX GLOBAL16 17 18 19 20

0.0000000 0.0000000 0.00000000.0000000 0.0000000 -157500.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.00000000.0000000 0.0000000 0.0000000

-157500.0000000 0.0000000 0.00000000.0000000 -52500.0000000 0.0000000

157500.0000000 0.0000000 0.00000000.0000000 52500.0000000 0.00000000.0000000 0.0000000 157500.0000000

2K_

A

K

MATRIX GLOBAL21 22 23 24

123456789

10111213

1415161718192021222324

2174731 -174730.5618 AT 0.554700196 -0.832050294 0

-174730.5618 174730.5618 0 0 0.5547001961 0 OP 96923.07692 -96923.07692-1 0 -145384.6154 145384.61540 0.554700196 -96923.07692 96923.076920 -0.832050294 145384.6154 -145384.6154

3 4 5 653763.25 -80644.87 -53763.25 80644.875 3 VALORES-80644.87 120967.31 80644.875 -120967.3 4-53763.25 80644.875 53763.25 -80644.87 580644.875 -120967.3 -80644.87 120967.31 6

20

-0.832050294

Cx 1Cy -1K 174731

3K_ 174731 -174730.5618 AT 0.554700196 0.832050294

-174730.5618 174730.5618 0 0

A 1 0 OP 96923.07692 -96923.076921 0 145384.6154 -145384.61540 0.554700196 -96923.07692 96923.076920 0.832050294 -145384.6154 145384.6154

5 6 7 8

K 53763.25 80644.875 -53763.25 -80644.87 580644.875 120967.31 -80644.87 -120967.3 6-53763.25 -80644.87 53763.25 80644.875 7-80644.87 -120967.3 80644.875 120967.31 8

30 0

0.554700196 0.832050294

VALORES Cx 1Cy 1K 174731

4K_ 174731 -174730.5618 AT 0.554700196

-174730.5618 174730.5618 0

A 1 0 OP 96923.07692-1 0 -145384.61540 0.554700196 -96923.076920 -0.832050294 145384.6154

7 8 9 10

K 53763.25 -80644.87 -53763.25 80644.875-80644.87 120967.31 80644.875 -120967.3-53763.25 80644.875 53763.25 -80644.8780644.875 -120967.3 -80644.87 120967.31

4-0.832050294 0 0

0 0.554700196 -0.832050294-96923.07692145384.615496923.07692-145384.6154

7 VALORES Cx 18 Cy -19 K 17473110

5K_ 174731 -174730.5618 AT

-174730.5618 174730.5618

A 1 0 OP1 00 0.5547001960 0.832050294

9 10 11

K 53763.25 80644.875 -53763.2580644.875 120967.31 -80644.87-53763.25 -80644.87 53763.25-80644.87 -120967.3 80644.875

50.554700196 0.832050294 0 0

0 0 0.554700196 0.83205029496923.07692 -96923.07692145384.6154 -145384.6154-96923.07692 96923.07692-145384.6154 145384.6154

12-80644.87 9 VALORES Cx 1

-120967.3 10 Cy 1

80644.875 11 K 174731120967.31 12

6K_ 174731 -174730.5618

-174730.5618 174730.5618

A 1 0-1 00 0.5547001960 -0.832050294

0 1

K 53763.25 -80644.87-80644.87 120967.31-53763.25 80644.87580644.875 -120967.3

6AT 0.554700196 -0.832050294 0 0

0 0 0.554700196 -0.832050294

OP 96923.07692 -96923.07692-145384.6154 145384.6154-96923.07692 96923.07692145384.6154 -145384.6154

13 14-53763.25 80644.875 0 VALORES Cx 1

80644.875 -120967.3 1 Cy -1

53763.25 -80644.87 13 K 174731-80644.87 120967.31 14

7K_ 157500

-157500

A 0100

15

K 0000

7-157500 AT 0 1 0 0157500 0 0 0 1

0 OP 0 00 157500 -1575000 0 01 -157500 157500

16 13 140 0 0 15 VALORES Cx

157500 0 -157500 16 Cy

0 0 0 13 K-157500 0 157500 14

7

01

157500

8K_

A

K

852500 -52500 AT 1 0 0-52500 52500 0 0 1

1 0 OP 52500 -525000 0 0 00 1 -52500 525000 0 0 0

17 18 15 1652500 0 -52500 0 17 VALORES

0 0 0 0 18-52500 0 52500 0 15

0 0 0 0 16

800

Cx 1Cy 0K 52500

9K_ 157500 -157500 AT 0 1

-157500 157500 0 0

A 0 0 OP 0 01 0 157500 -1575000 0 0 00 1 -157500 157500

17 18 1 2

K 0 0 0 0 170 157500 0 -157500 180 0 0 0 10 -157500 0 157500 2

90 00 1

VALORES Cx 0Cy 1K 157500

10K_ 0 0

0 0

A 0 00 00 00 0

-1 0

K 0 00 00 00 0

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

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

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

12K_ 0 0

0 0

A 0 00 00 00 0

-1 0

K 0 00 00 00 0

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

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

130 00 0

VALORES Cx 0Cy 0K 0

14K_

A

K

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

1400

Cx 0Cy 0K 0

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

150 00 0

VALORES Cx 0Cy 0K 0

16K_ 0 0

0 0

A 0 00 00 00 0

-1 0

K 0 00 00 00 0

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

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

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

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