Portico 3 vanos.xlsx

MATRIZ DE RIGIDEZ DE PORTICOS EN COORDENADAS GLOBALES

DATOS GENERALES BARRA 40x40

AREA[M^2] A= 0.16

INERCIA [M^4] I= 0.002133333333

MODULO DE ELASTICIDAD [T/M^2] E= 2530000

LONGITUD [M] L= 3.5

COSENO A= 0

SENO A= 1

M= 3084.19047619

N= 0.489795918367

O= 0

P= -0.85714285714

Q= 37.5

R= 0

MATRIZ GLOBAL ELEMENTAL

1510.624 0.000 -2643.592 -1510.624 0.000 -2643.592

0.000 115657.143 0.000 0.000 -115657.143 0.000

K(40X40)= -2643.592 0.000 6168.381 2643.592 0.000 3084.190

-1510.624 0.000 2643.592 1510.624 0.000 2643.592

0.000 -115657.143 0.000 0.000 115657.143 0.000

-2643.592 0.000 3084.190 2643.592 0.000 6168.381


AREA[M^2] A= 0.12

INERCIA [M^4] I= 0.001600


LONGITUD [M] L= 3.5

COSENO A= 0

SENO A= 1

M= 2313.142857143

N= 0.489795918367

O= 0

P= -0.85714285714

Q= 37.5

R= 0


1132.968 0.000 -1982.694 -1132.968 0.000 -1982.694

0.000 86742.857 0.000 0.000 -86742.857 0.000

K(30X40)= -1982.694 0.000 4626.286 1982.694 0.000 2313.143

-1132.968 0.000 1982.694 1132.968 0.000 1982.694

0.000 -86742.857 0.000 0.000 86742.857 0.000

-1982.694 0.000 2313.143 1982.694 0.000 4626.286


AREA[M^2] A= 0.09

INERCIA [M^4] I= 0.000675


LONGITUD [M] L= 10

COSENO A= 1

SENO A= 0

M= 341.55

N= 66.66666666667

O= 0

P= 0

Q= 0.06

R= 0.3


22770.000 0.000 0.000 -22770.000 0.000 0.000

0.000 20.493 102.465 0.000 -20.493 102.465

K(30X30)= 0.000 102.465 683.100 0.000 -102.465 341.550

-22770.000 0.000 0.000 22770.000 0.000 0.000

0.000 -20.493 -102.465 0.000 20.493 -102.465

0.000 102.465 341.550 0.000 -102.465 683.100

0 5 10 15 20 25 30

-2

0

2

4

6

8

10

1 2 3 4

5 6 7

8 9 10 11

12 13 14

(1) (2) (3) (4)

(5) (6) (7) (8)

(9) (10) (11) (12)

Nodos y elementos

0 5 10 15 20 25 30 35

-2

0

2

4

6

8

10

1 2 3 4

5 6 7

8 9 10 11

12 13 14

(1) (2) (3) (4)

(5) (6) (7) (8)

(9) (10) (11) (12)

Deformada de Nodos y elementos

1 2 3 4

5 6 7

8 9 10 11

12 13 14

(1) (2) (3) (4)

(5) (6) (7) (8)

(9) (10) (11) (12)

233

133

36

2

6

2

36

2

6

2

36

2

6

2

36

2

6

2

133

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2

6

2

36

2

26

2

36

2

6

2

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2

6

2

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2

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MATRIZ GLOBAL ELEMENTALDX1 DY1 O1 DX5 DY5 O5 DX1 DY1 O1 DX2 DY2 O2 DX3 DY3 O3 DX4 DY4 O4 DX5 DY5 O5 DX6 DY6 O6 DX7 DY7 O7 DX8 DY8 O8 DX9 DY9 O9 DX10 DY10 O10 DX11 DY11 O11 DX12 DY12 O12 VF D Reacciones1510.62391 0 -2643.5918 -1510.6239 0 -2643.5918 DX1 DX1 1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 -1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DX1 0 0 -2.5989

0 115657.143 0 0 -115657.14 0 DY1 DY1 0 115657.14286 0 0 0 0 0 0 0 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DY1 0 0 -0.8066-2643.5918 0 6168.38095 2643.59184 0 3084.19048 O1 O1 -2643.5918367 0 6168.3809524 0 0 0 0 0 0 0 0 0 2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 O1 0 0 8.0025-1510.6239 0 2643.59184 1510.62391 0 2643.59184 DX5 DX2 0 0 0 1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 -1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DX2 0 0 -2.8306

0 -115657.14 0 0 115657.143 0 DY5 DY2 0 0 0 0 115657.14286 0 0 0 0 0 0 0 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DY2 0 0 0.0477-2643.5918 0 3084.19048 2643.59184 0 6168.38095 O5 O2 0 0 0 -2643.5918367 0 6168.3809524 0 0 0 0 0 0 0 0 0 2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 O2 0 0 8.1368

DX3 0 0 0 0 0 0 1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 -1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DX3 0 0 -2.7352MATRIZ GLOBAL ELEMENTAL DY3 0 0 0 0 0 0 0 115657.14286 0 0 0 0 0 0 0 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DY3 0 0 -0.0396DX2 DY2 O2 DX6 DY6 O6 O3 0 0 0 0 0 0 -2643.5918367 0 6168.3809524 0 0 0 0 0 0 0 0 0 2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 O3 0 0 7.93301510.62391 0 -2643.5918 -1510.6239 0 -2643.5918 DX2 DX4 0 0 0 0 0 0 0 0 0 1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 -1510.6239067 0 -2643.5918367 0 0 0 0 0 0 0 0 0 0 0 0 DX4 0 0 -2.3353

0 115657.143 0 0 -115657.14 0 DY2 DY4 0 0 0 0 0 0 0 0 0 0 115657.14286 0 0 0 0 0 0 0 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 0 0 0 0 0 DY4 0 0 0.7985-2643.5918 0 6168.38095 2643.59184 0 3084.19048 O2 O4 0 0 0 0 0 0 0 0 0 -2643.5918367 0 6168.3809524 0 0 0 0 0 0 0 0 0 2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 0 0 0 0 0 O4 0 0 7.4126-1510.6239 0 2643.59184 1510.62391 0 2643.59184 DX6 DX5 0 2643.5918367 1510.6239067 0 0 0 0 0 0 0 0 0 25413.591837 0 660.89795918 -22770 0 0 0 0 0 0 0 0 -1132.9679 0 -1982.6939 0 0 0 0 0 0 0 0 0 DX5 5.25 0.00564057 5.2500

0 -115657.14 0 0 115657.143 0 DY6 DY5 -115657.14286 0 0 0 0 0 0 0 0 0 0 0 0 202420.493 102.465 0 -20.493 102.465 0 0 0 0 0 0 0 -86742.857 0 0 0 0 0 0 0 0 0 0 DY5 0 0.000007 0.0000-2643.5918 0 3084.19048 2643.59184 0 6168.38095 O6 O5 0 3084.1904762 2643.5918367 0 0 0 0 0 0 0 0 0 660.89795918 102.465 11477.766667 0 -102.465 341.55 0 0 0 0 0 0 1982.69388 0 2313.14286 0 0 0 0 0 0 0 0 0 O5 0 -0.002240 0.0000

DX6 0 0 0 -1510.6239067 0 2643.5918367 0 0 0 0 0 0 -22770 0 0 48183.591837 0 660.89795918 -22770 0 0 0 0 0 0 0 0 -1132.9679 0 -1982.6939 0 0 0 0 0 0 DX6 0 0.005486 0.0000MATRIZ GLOBAL ELEMENTAL DY6 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 -20.493 -102.465 0 202440.986 0 0 -20.493 102.465 0 0 0 0 0 0 0 -86742.857 0 0 0 0 0 0 0 DY6 0 0.000000 0.0000DX3 DY3 O3 DX7 DY7 O7 O6 0 0 0 -2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 102.465 341.55 660.89795918 0 12160.866667 0 -102.465 341.55 0 0 0 0 0 0 1982.6939 0 2313.14286 0 0 0 0 0 0 O6 0 -0.002064 0.00001510.62391 0 -2643.5918 -1510.6239 0 -2643.5918 DX3 DX7 0 0 0 0 0 0 -1510.6239067 0 2643.5918367 0 0 0 0 0 0 -22770 0 0 48183.591837 0 660.89795918 -22770 0 0 0 0 0 0 0 0 -1132.9679 0 -1982.6939 0 0 0 DX7 0 0.005381 0.0000

0 115657.143 0 0 -115657.14 0 DY3 DY7 0 0 0 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 -20.493 -102.465 0 202440.986 0 0 -20.493 102.465 0 0 0 0 0 0 0 -86742.857 0 0 0 0 DY7 0 0.000000 0.0000-2643.5918 0 6168.38095 2643.59184 0 3084.19048 O3 O7 0 0 0 0 0 0 -2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 102.465 341.55 660.89795918 0 12160.866667 0 -102.465 341.55 0 0 0 0 0 0 1982.69388 0 2313.14286 0 0 0 O7 0 -0.002040 0.0000-1510.6239 0 2643.59184 1510.62391 0 2643.59184 DX7 DX8 0 0 0 0 0 0 0 0 0 -1510.6239067 0 2643.5918367 0 0 0 0 0 0 -22770 0 0 25413.591837 0 660.89795918 0 0 0 0 0 0 0 0 0 -1132.9679 0 -1982.6939 DX8 0 0.005320 0.0000

0 -115657.14 0 0 115657.143 0 DY7 DY8 0 0 0 0 0 0 0 0 0 0 -115657.14286 0 0 0 0 0 0 0 0 -20.493 -102.465 0 202420.493 -102.465 0 0 0 0 0 0 0 0 0 0 -86742.857 0 DY8 0 -0.000007 0.0000-2643.5918 0 3084.19048 2643.59184 0 6168.38095 O7 O8 0 0 0 0 0 0 0 0 0 -2643.5918367 0 3084.1904762 0 0 0 0 0 0 0 102.465 341.55 660.89795918 -102.465 11477.766667 0 0 0 0 0 0 0 0 0 1982.69388 0 2313.14286 O8 0 -0.002157 0.0000

DX9 0 0 0 0 0 0 0 0 0 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 0 0 0 23902.9679 0 1982.69388 -22770 0 0 0 0 0 0 0 0 DX9 5.25 0.013686 5.2500MATRIZ GLOBAL ELEMENTAL DY9 0 0 0 0 0 0 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 0 0 0 86763.3501 102.465 0 -20.493 102.465 0 0 0 0 0 0 DY9 0 0.000011 0.0000DX4 DY4 O4 DX8 DY8 O8 O9 0 0 0 0 0 0 0 0 0 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 0 0 1982.69388 102.465 5309.38571 0 -102.465 341.55 0 0 0 0 0 0 O9 0 -0.001923 0.00001510.62391 0 -2643.5918 -1510.6239 0 -2643.5918 DX4 DX10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 -22770 0 0 46672.968 0 1982.69388 -22770 0 0 0 0 0 DX10 0 0.013493 0.0000

0 115657.143 0 0 -115657.14 0 DY4 DY10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 -20.493 -102.465 0 86783.8431 0 0 -20.493 102.465 0 0 0 DY10 0 -0.000001 0.0000-2643.5918 0 6168.38095 2643.59184 0 3084.19048 O4 O10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 102.465 341.55 1982.6939 0 5992.48571 0 -102.465 341.55 0 0 0 O10 0 -0.001649 0.0000-1510.6239 0 2643.59184 1510.62391 0 2643.59184 DX8 DX11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 -22770 0 0 46672.9679 0 1982.69388 -22770 0 0 DX11 0 0.013376 0.0000

0 -115657.14 0 0 115657.143 0 DY8 DY11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 -20.493 -102.465 0 86783.8431 0 0 -20.493 102.465 DY11 0 0.000001 0.0000-2643.5918 0 3084.19048 2643.59184 0 6168.38095 O8 O11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 102.465 341.55 1982.69388 0 5992.48571 0 -102.465 341.55 O11 0 -0.001653 0.0000

DX12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 -22770 0 0 23902.9679 0 1982.69388 DX12 0 0.013334 0.0000DY12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 -20.493 -102.465 0 86763.3501 -102.465 DY12 0 -0.000011 0.0000

DX5 DY5 O5 DX6 DY6 O6 O12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 102.465 341.55 1982.69388 -102.465 5309.38571 O12 0 -0.001947 0.000022770 0 0 -22770 0 0 DX5 DX1 DY1 O1 DX2 DY2 O2 DX3 DY3 O3 DX4 DY4 O4 DX5 DY5 O5 DX6 DY6 O6 DX7 DY7 O7 DX8 DY8 O8 DX9 DY9 O9 DX10 DY10 O10 DX11 DY11 O11 DX12 DY12 O12

0 20.493 102.465 0 -20.493 102.465 DY5 MATRIZ REDUCIDA:0 102.465 683.1 0 -102.465 341.55 O5 DX5 DY5 O5 DX6 DY6 O6 DX7 DY7 O7 DX8 DY8 O8 DX9 DY9 O9 DX10 DY10 O10 DX11 DY11 O11 DX12 DY12 O12

-22770 0 0 22770 0 0 DX6 25413.591837 0 660.89795918 -22770 0 0 0 0 0 0 0 0 -1132.96793 0 -1982.6938776 0 0 0 0 0 0 0 0 0 DX50 -20.493 -102.465 0 20.493 -102.465 DY6 0 202420.493 102.465 0 -20.493 102.465 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 0 0 DY50 102.465 341.55 0 -102.465 683.1 O6 660.89795918 102.465 11477.766667 0 -102.465 341.55 0 0 0 0 0 0 1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 0 0 O5

-22770 0 0 48183.591837 0 660.89795918 -22770 0 0 0 0 0 0 0 0 -1132.96793 0 -1982.6938776 0 0 0 0 0 0 DX6MATRIZ GLOBAL ELEMENTAL 0 -20.493 -102.465 0 202440.986 0 0 -20.493 102.465 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 DY6DX6 DY6 O6 DX7 DY7 O7 0 102.465 341.55 660.89795918 0 12160.866667 0 -102.465 341.55 0 0 0 0 0 0 1982.6938776 0 2313.1428571 0 0 0 0 0 0 O6

22770 0 0 -22770 0 0 DX6 0 0 0 -22770 0 0 48183.591837 0 660.89795918 -22770 0 0 0 0 0 0 0 0 -1132.96793 0 -1982.6938776 0 0 0 DX70 20.493 102.465 0 -20.493 102.465 DY6 0 0 0 0 -20.493 -102.465 0 202440.986 0 0 -20.493 102.465 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 DY70 102.465 683.1 0 -102.465 341.55 O6 0 0 0 0 102.465 341.55 660.89795918 0 12160.866667 0 -102.465 341.55 0 0 0 0 0 0 1982.6938776 0 2313.1428571 0 0 0 O7

-22770 0 0 22770 0 0 DX7 0 0 0 0 0 0 -22770 0 0 25413.591837 0 660.89795918 0 0 0 0 0 0 0 0 0 -1132.96793 0 -1982.6938776 DX80 -20.493 -102.465 0 20.493 -102.465 DY7 0 0 0 0 0 0 0 -20.493 -102.465 0 202420.493 -102.465 0 0 0 0 0 0 0 0 0 0 -86742.857143 0 DY80 102.465 341.55 0 -102.465 683.1 O7 0 0 0 0 0 0 0 102.465 341.55 660.89795918 -102.465 11477.766667 0 0 0 0 0 0 0 0 0 1982.6938776 0 2313.1428571 O8

-1132.96793 0 1982.6938776 0 0 0 0 0 0 0 0 0 23902.96793 0 1982.6938776 -22770 0 0 0 0 0 0 0 0 DX9MATRIZ GLOBAL ELEMENTAL 0 -86742.857143 0 0 0 0 0 0 0 0 0 0 0 86763.350143 102.465 0 -20.493 102.465 0 0 0 0 0 0 DY9DX7 DY7 O7 DX8 DY8 O8 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 0 0 1982.6938776 102.465 5309.3857143 0 -102.465 341.55 0 0 0 0 0 0 O9

22770 0 0 -22770 0 0 DX7 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 -22770 0 0 46672.96793 0 1982.6938776 -22770 0 0 0 0 0 DX100 20.493 102.465 0 -20.493 102.465 DY7 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 -20.493 -102.465 0 86783.843143 0 0 -20.493 102.465 0 0 0 DY100 102.465 683.1 0 -102.465 341.55 O7 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 102.465 341.55 1982.6938776 0 5992.4857143 0 -102.465 341.55 0 0 0 O10

-22770 0 0 22770 0 0 DX8 0 0 0 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 -22770 0 0 46672.96793 0 1982.6938776 -22770 0 0 DX110 -20.493 -102.465 0 20.493 -102.465 DY8 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 -20.493 -102.465 0 86783.843143 0 0 -20.493 102.465 DY110 102.465 341.55 0 -102.465 683.1 O8 0 0 0 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 102.465 341.55 1982.6938776 0 5992.4857143 0 -102.465 341.55 O11

0 0 0 0 0 0 0 0 0 -1132.96793 0 1982.6938776 0 0 0 0 0 0 -22770 0 0 23902.96793 0 1982.6938776 DX12MATRIZ GLOBAL ELEMENTAL 0 0 0 0 0 0 0 0 0 0 -86742.857143 0 0 0 0 0 0 0 0 -20.493 -102.465 0 86763.350143 -102.465 DY12DX5 DY5 O5 DX9 DY9 O9 0 0 0 0 0 0 0 0 0 -1982.6938776 0 2313.1428571 0 0 0 0 0 0 0 102.465 341.55 1982.6938776 -102.465 5309.3857143 O121132.96793 0 -1982.6939 -1132.9679 0 -1982.6939 DX5 DX5 DY5 O5 DX6 DY6 O6 DX7 DY7 O7 DX8 DY8 O8 DX9 DY9 O9 DX10 DY10 O10 DX11 DY11 O11 DX12 DY12 O12

0 86742.8571 0 0 -86742.857 0 DY5-1982.6939 0 4626.28571 1982.69388 0 2313.14286 O5 INVERSA DE LA MATRIZ REDUCIDA: VF DESPLAZ.-1132.9679 0 1982.69388 1132.96793 0 1982.69388 DX9 0.0004062005 2.8994108E-07 -0.0001275316 0.0003759113 -2.130779E-09 -0.000113448 0.0003569071 1.9242071E-08 -0.0001113512 0.0003475888 -3.070524E-07 -0.0001188861 0.0006681941 3.9194098E-07 -3.92474E-05 0.0006667079 1.4067306E-08 -4.71773E-05 0.0006657044 3.8556608E-08 -5.287959E-05 0.0006657654 -4.445649E-07 -6.362976E-05 DX5 5.25 0.005641

0 -86742.857 0 0 86742.8571 0 DY9 2.8994108E-07 8.6440871E-06 -1.987552E-07 2.9586631E-07 2.8439016E-09 -1.922602E-07 3.0444656E-07 -1.260204E-10 -1.432292E-07 3.0705237E-07 -5.598758E-10 -1.499304E-07 1.0384452E-06 8.6427893E-06 -3.411085E-07 1.02868E-06 4.6605683E-09 -2.879067E-07 1.013567E-06 -2.446446E-10 -1.523828E-07 1.0079974E-06 -9.601846E-10 -1.866461E-07 DY5 0 0.000007-1982.6939 0 2313.14286 1982.69388 0 4626.28571 O9 -0.0001275316 -1.987552E-07 0.0001452319 -0.0001230918 5.6089493E-08 4.2094093E-05 -0.0001204115 -7.264648E-09 4.5093466E-05 -0.0001188861 1.4993039E-07 4.7535394E-05 -0.0002991529 -2.425436E-07 -1.675184E-06 -0.0002951921 1.2662132E-08 3.8795734E-05 -0.000292751 -1.057541E-08 3.5033031E-05 -0.0002919081 2.4045687E-07 4.1653352E-05 O5 0 -0.002240

0.0003759113 2.9586631E-07 -0.0001230918 0.0003873154 -1.168259E-08 -0.0001152944 0.000366877 2.0262842E-08 -0.0001126495 0.0003569071 -3.044466E-07 -0.0001204115 0.0006690973 4.0883365E-07 -5.312571E-05 0.0006683412 -1.500461E-08 -4.259278E-05 0.0006678202 4.1319677E-08 -5.021739E-05 0.0006680916 -4.351487E-07 -6.052523E-05 DX6 0 0.005486MATRIZ GLOBAL ELEMENTAL -2.130779E-09 2.8439016E-09 5.6089493E-08 -1.168259E-08 8.6404719E-06 8.0721879E-09 -2.026284E-08 3.0553188E-09 -4.095874E-08 -1.924207E-08 -1.260204E-10 7.2646477E-09 -7.640553E-08 4.6709217E-09 1.6921237E-07 -6.04831E-08 8.6367409E-06 1.0517909E-08 -4.537011E-08 5.0882853E-09 -1.25006E-07 -4.595773E-08 -2.54998E-10 1.4749938E-08 DY6 0 0.000000DX6 DY6 O6 DX10 DY10 O10 -0.000113448 -1.922602E-07 4.2094093E-05 -0.0001152944 8.0721879E-09 0.0001321306 -0.0001126495 4.0958738E-08 3.9392222E-05 -0.0001113512 1.4322924E-07 4.5093466E-05 -0.0002797521 -2.428515E-07 4.3830181E-05 -0.000280545 1.568308E-08 -9.498174E-07 -0.0002781379 -7.258567E-09 3.7330803E-05 -0.0002772842 2.3442701E-07 3.9921991E-05 O6 0 -0.0020641132.96793 0 -1982.6939 -1132.9679 0 -1982.6939 DX6 0.0003569071 3.0444656E-07 -0.0001204115 0.000366877 -2.026284E-08 -0.0001126495 0.0003873154 1.1682592E-08 -0.0001152944 0.0003759113 -2.958663E-07 -0.0001230918 0.0006680916 4.3514872E-07 -6.052523E-05 0.0006678202 -4.131968E-08 -5.021739E-05 0.0006683412 1.5004606E-08 -4.259278E-05 0.0006690973 -4.088336E-07 -5.312571E-05 DX7 0 0.005381

0 86742.8571 0 0 -86742.857 0 DY6 1.9242071E-08 -1.260204E-10 -7.264648E-09 2.0262842E-08 3.0553188E-09 4.0958738E-08 1.1682592E-08 8.6404719E-06 -8.072188E-09 2.1307788E-09 2.8439016E-09 -5.608949E-08 4.5957734E-08 -2.54998E-10 -1.474994E-08 4.537011E-08 5.0882853E-09 1.2500598E-07 6.04831E-08 8.6367409E-06 -1.051791E-08 7.6405529E-08 4.6709217E-09 -1.692124E-07 DY7 0 0.000000-1982.6939 0 4626.28571 1982.69388 0 2313.14286 O6 -0.0001113512 -1.432292E-07 4.5093466E-05 -0.0001126495 -4.095874E-08 3.9392222E-05 -0.0001152944 -8.072188E-09 0.0001321306 -0.000113448 1.9226017E-07 4.2094093E-05 -0.0002772842 -2.34427E-07 3.9921991E-05 -0.0002781379 7.2585674E-09 3.7330803E-05 -0.000280545 -1.568308E-08 -9.498174E-07 -0.0002797521 2.4285152E-07 4.3830181E-05 O7 0 -0.002040-1132.9679 0 1982.69388 1132.96793 0 1982.69388 DX10 0.0003475888 3.0705237E-07 -0.0001188861 0.0003569071 -1.924207E-08 -0.0001113512 0.0003759113 2.1307788E-09 -0.000113448 0.0004062005 -2.899411E-07 -0.0001275316 0.0006657654 4.4456489E-07 -6.362976E-05 0.0006657044 -3.855661E-08 -5.287959E-05 0.0006667079 -1.406731E-08 -4.71773E-05 0.0006681941 -3.91941E-07 -3.92474E-05 DX8 0 0.005320

0 -86742.857 0 0 86742.8571 0 DY10 -3.070524E-07 -5.598758E-10 1.4993039E-07 -3.044466E-07 -1.260204E-10 1.4322924E-07 -2.958663E-07 2.8439016E-09 1.9226017E-07 -2.899411E-07 8.6440871E-06 1.9875524E-07 -1.007997E-06 -9.601846E-10 1.8664608E-07 -1.013567E-06 -2.446446E-10 1.5238276E-07 -1.02868E-06 4.6605683E-09 2.8790666E-07 -1.038445E-06 8.6427893E-06 3.4110851E-07 DY8 0 -0.000007-1982.6939 0 2313.14286 1982.69388 0 4626.28571 O10 -0.0001188861 -1.499304E-07 4.7535394E-05 -0.0001204115 7.2646477E-09 4.5093466E-05 -0.0001230918 -5.608949E-08 4.2094093E-05 -0.0001275316 1.9875524E-07 0.0001452319 -0.0002919081 -2.404569E-07 4.1653352E-05 -0.000292751 1.0575413E-08 3.5033031E-05 -0.0002951921 -1.266213E-08 3.8795734E-05 -0.0002991529 2.4254359E-07 -1.675184E-06 O8 0 -0.002157

0.0006681941 1.0384452E-06 -0.0002991529 0.0006690973 -7.640553E-08 -0.0002797521 0.0006680916 4.5957734E-08 -0.0002772842 0.0006657654 -1.007997E-06 -0.0002919081 0.0019386522 1.7394706E-06 -0.0003269662 0.0019034298 -1.527395E-07 -0.000266873 0.0018820268 9.3153375E-08 -0.0002619172 0.0018740748 -1.679885E-06 -0.0003072307 DX9 5.25 0.013686MATRIZ GLOBAL ELEMENTAL 3.9194098E-07 8.6427893E-06 -2.425436E-07 4.0883365E-07 4.6709217E-09 -2.428515E-07 4.3514872E-07 -2.54998E-10 -2.34427E-07 4.4456489E-07 -9.601846E-10 -2.404569E-07 1.7394706E-06 2.0167976E-05 -7.462448E-07 1.7204212E-06 8.8688133E-09 -6.271472E-07 1.6908774E-06 -5.931637E-10 -2.700865E-07 1.6798846E-06 -1.679641E-09 -3.391942E-07 DY9 0 0.000011DX7 DY7 O7 DX11 DY11 O11 -3.92474E-05 -3.411085E-07 -1.675184E-06 -5.312571E-05 1.6921237E-07 4.3830181E-05 -6.052523E-05 -1.474994E-08 3.9921991E-05 -6.362976E-05 1.8664608E-07 4.1653352E-05 -0.0003269662 -7.462448E-07 0.0002933333 -0.0003158861 4.4412955E-07 4.9877334E-05 -0.0003097207 -3.707894E-08 6.0264847E-05 -0.0003072307 3.3919421E-07 6.8951691E-05 O9 0 -0.0019231132.96793 0 -1982.6939 -1132.9679 0 -1982.6939 DX7 0.0006667079 1.02868E-06 -0.0002951921 0.0006683412 -6.04831E-08 -0.000280545 0.0006678202 4.537011E-08 -0.0002781379 0.0006657044 -1.013567E-06 -0.000292751 0.0019034298 1.7204212E-06 -0.0003158861 0.0019117559 -1.212642E-07 -0.0002700832 0.0018900873 9.1720454E-08 -0.0002640203 0.0018820268 -1.690877E-06 -0.0003097207 DX10 0 0.013493

0 86742.8571 0 0 -86742.857 0 DY7 1.4067306E-08 4.6605683E-09 1.2662132E-08 -1.500461E-08 8.6367409E-06 1.568308E-08 -4.131968E-08 5.0882853E-09 7.2585674E-09 -3.855661E-08 -2.446446E-10 1.0575413E-08 -1.527395E-07 8.8688133E-09 4.4412955E-07 -1.212642E-07 2.0156467E-05 2.2854792E-08 -9.172045E-08 9.8286643E-09 -3.342059E-07 -9.315337E-08 -5.931637E-10 3.7078942E-08 DY10 0 -0.000001-1982.6939 0 4626.28571 1982.69388 0 2313.14286 O7 -4.71773E-05 -2.879067E-07 3.8795734E-05 -4.259278E-05 1.0517909E-08 -9.498174E-07 -5.021739E-05 1.2500598E-07 3.7330803E-05 -5.287959E-05 1.5238276E-07 3.5033031E-05 -0.000266873 -6.271472E-07 4.9877334E-05 -0.0002700832 2.2854792E-08 0.0002374404 -0.0002640203 3.3420595E-07 3.9365681E-05 -0.0002619172 2.7008647E-07 6.0264847E-05 O10 0 -0.001649-1132.9679 0 1982.69388 1132.96793 0 1982.69388 DX11 0.0006657044 1.013567E-06 -0.000292751 0.0006678202 -4.537011E-08 -0.0002781379 0.0006683412 6.04831E-08 -0.000280545 0.0006667079 -1.02868E-06 -0.0002951921 0.0018820268 1.6908774E-06 -0.0003097207 0.0018900873 -9.172045E-08 -0.0002640203 0.0019117559 1.2126421E-07 -0.0002700832 0.0019034298 -1.720421E-06 -0.0003158861 DX11 0 0.013376

0 -86742.857 0 0 86742.8571 0 DY11 3.8556608E-08 -2.446446E-10 -1.057541E-08 4.1319677E-08 5.0882853E-09 -7.258567E-09 1.5004606E-08 8.6367409E-06 -1.568308E-08 -1.406731E-08 4.6605683E-09 -1.266213E-08 9.3153375E-08 -5.931637E-10 -3.707894E-08 9.1720454E-08 9.8286643E-09 3.3420595E-07 1.2126421E-07 2.0156467E-05 -2.285479E-08 1.5273946E-07 8.8688133E-09 -4.441295E-07 DY11 0 0.000001-1982.6939 0 2313.14286 1982.69388 0 4626.28571 O11 -5.287959E-05 -1.523828E-07 3.5033031E-05 -5.021739E-05 -1.25006E-07 3.7330803E-05 -4.259278E-05 -1.051791E-08 -9.498174E-07 -4.71773E-05 2.8790666E-07 3.8795734E-05 -0.0002619172 -2.700865E-07 6.0264847E-05 -0.0002640203 -3.342059E-07 3.9365681E-05 -0.0002700832 -2.285479E-08 0.0002374404 -0.000266873 6.2714722E-07 4.9877334E-05 O11 0 -0.001653

0.0006657654 1.0079974E-06 -0.0002919081 0.0006680916 -4.595773E-08 -0.0002772842 0.0006690973 7.6405529E-08 -0.0002797521 0.0006681941 -1.038445E-06 -0.0002991529 0.0018740748 1.6798846E-06 -0.0003072307 0.0018820268 -9.315337E-08 -0.0002619172 0.0019034298 1.5273946E-07 -0.000266873 0.0019386522 -1.739471E-06 -0.0003269662 DX12 0 0.013334MATRIZ GLOBAL ELEMENTAL -4.445649E-07 -9.601846E-10 2.4045687E-07 -4.351487E-07 -2.54998E-10 2.3442701E-07 -4.088336E-07 4.6709217E-09 2.4285152E-07 -3.91941E-07 8.6427893E-06 2.4254359E-07 -1.679885E-06 -1.679641E-09 3.3919421E-07 -1.690877E-06 -5.931637E-10 2.7008647E-07 -1.720421E-06 8.8688133E-09 6.2714722E-07 -1.739471E-06 2.0167976E-05 7.4624482E-07 DY12 0 -0.000011DX8 DY8 O8 DX12 DY12 O12 -6.362976E-05 -1.866461E-07 4.1653352E-05 -6.052523E-05 1.4749938E-08 3.9921991E-05 -5.312571E-05 -1.692124E-07 4.3830181E-05 -3.92474E-05 3.4110851E-07 -1.675184E-06 -0.0003072307 -3.391942E-07 6.8951691E-05 -0.0003097207 3.7078942E-08 6.0264847E-05 -0.0003158861 -4.441295E-07 4.9877334E-05 -0.0003269662 7.4624482E-07 0.0002933333 O12 0 -0.0019471132.96793 0 -1982.6939 -1132.9679 0 -1982.6939 DX8

0 86742.8571 0 0 -86742.857 0 DY8 ESFUERZOS EN BARRAS:-1982.6939 0 4626.28571 1982.69388 0 2313.14286 O8 BARRA 1-5 VD FUERZAS-1132.9679 0 1982.69388 1132.96793 0 1982.69388 DX12 1510.6239067 0 -2643.5918367 -1510.6239067 0 -2643.5918367 0 -2.599 FX1

0 -86742.857 0 0 86742.8571 0 DY12 0 115657.14286 0 0 -115657.14286 0 0 -0.807 FY1-1982.6939 0 2313.14286 1982.69388 0 4626.28571 O12 -2643.5918367 0 6168.3809524 2643.5918367 0 3084.1904762 0 8.002 M1

-1510.6239067 0 2643.5918367 1510.6239067 0 2643.5918367 0.005641 2.599 FX5MATRIZ GLOBAL ELEMENTAL 0 -115657.14286 0 0 115657.14286 0 0.000007 0.807 FY5DX9 DY9 O9 DX10 DY10 O10 -2643.5918367 0 3084.1904762 2643.5918367 0 6168.3809524 -0.002240 1.094 M5

22770 0 0 -22770 0 0 DX90 20.493 102.465 0 -20.493 102.465 DY90 102.465 683.1 0 -102.465 341.55 O9

-22770 0 0 22770 0 0 DX100 -20.493 -102.465 0 20.493 -102.465 DY100 102.465 341.55 0 -102.465 683.1 O10

MATRIZ GLOBAL ELEMENTALDX10 DY10 O10 DX11 DY11 O11

22770 0 0 -22770 0 0 DX100 20.493 102.465 0 -20.493 102.465 DY100 102.465 683.1 0 -102.465 341.55 O10

-22770 0 0 22770 0 0 DX110 -20.493 -102.465 0 20.493 -102.465 DY110 102.465 341.55 0 -102.465 683.1 O11


22770 0 0 -22770 0 0 DX110 20.493 102.465 0 -20.493 102.465 DY110 102.465 683.1 0 -102.465 341.55 O11

-22770 0 0 22770 0 0 DX120 -20.493 -102.465 0 20.493 -102.465 DY120 102.465 341.55 0 -102.465 683.1 O12

MATRIZ GLOBAL ELEMENTALDX1 DY1 O1 DX5 DY5 O51510.62391 0 -2643.59184 -1510.62391 0 -2643.59184 DX1 DX1

0 115657.143 0 0 -115657.143 0 DY1 DY1-2643.59184 0 6168.38095 2643.59184 0 3084.19048 O1 O1-1510.62391 0 2643.59184 1510.62391 0 2643.59184 DX5 DX2

0 -115657.143 0 0 115657.143 0 DY5 DY2-2643.59184 0 3084.19048 2643.59184 0 6168.38095 O5 O2

DX3MATRIZ GLOBAL ELEMENTAL DY3DX2 DY2 O2 DX6 DY6 O6 O31510.62391 0 -2643.59184 -1510.62391 0 -2643.59184 DX2 DX4

0 115657.143 0 0 -115657.143 0 DY2 DY4-2643.59184 0 6168.38095 2643.59184 0 3084.19048 O2 O4-1510.62391 0 2643.59184 1510.62391 0 2643.59184 DX6 DX5

0 -115657.143 0 0 115657.143 0 DY6 DY5-2643.59184 0 3084.19048 2643.59184 0 6168.38095 O6 O5


0 115657.143 0 0 -115657.143 0 DY3 DY7-2643.59184 0 6168.38095 2643.59184 0 3084.19048 O3 O7-1510.62391 0 2643.59184 1510.62391 0 2643.59184 DX7 DX8

0 -115657.143 0 0 115657.143 0 DY7 DY8-2643.59184 0 3084.19048 2643.59184 0 6168.38095 O7 O8


0 115657.143 0 0 -115657.143 0 DY4 DY10-2643.59184 0 6168.38095 2643.59184 0 3084.19048 O4 O10-1510.62391 0 2643.59184 1510.62391 0 2643.59184 DX8 DX11

0 -115657.143 0 0 115657.143 0 DY8 DY11-2643.59184 0 3084.19048 2643.59184 0 6168.38095 O8 O11

DX12DY12

DX5 DY5 O5 DX6 DY6 O6 O1222770 0 0 -22770 0 0 DX5

0 20.493 102.465 0 -20.493 102.465 DY50 102.465 683.1 0 -102.465 341.55 O5

-22770 0 0 22770 0 0 DX60 -20.493 -102.465 0 20.493 -102.465 DY60 102.465 341.55 0 -102.465 683.1 O6


22770 0 0 -22770 0 0 DX60 20.493 102.465 0 -20.493 102.465 DY60 102.465 683.1 0 -102.465 341.55 O6

-22770 0 0 22770 0 0 DX70 -20.493 -102.465 0 20.493 -102.465 DY70 102.465 341.55 0 -102.465 683.1 O7


22770 0 0 -22770 0 0 DX70 20.493 102.465 0 -20.493 102.465 DY70 102.465 683.1 0 -102.465 341.55 O7

-22770 0 0 22770 0 0 DX80 -20.493 -102.465 0 20.493 -102.465 DY80 102.465 341.55 0 -102.465 683.1 O8

MATRIZ GLOBAL ELEMENTALDX5 DY5 O5 DX9 DY9 O91132.96793 0 -1982.69388 -1132.96793 0 -1982.69388 DX5

0 86742.8571 0 0 -86742.8571 0 DY5-1982.69388 0 4626.28571 1982.69388 0 2313.14286 O5-1132.96793 0 1982.69388 1132.96793 0 1982.69388 DX9

0 -86742.8571 0 0 86742.8571 0 DY9-1982.69388 0 2313.14286 1982.69388 0 4626.28571 O9


0 86742.8571 0 0 -86742.8571 0 DY6-1982.69388 0 4626.28571 1982.69388 0 2313.14286 O6-1132.96793 0 1982.69388 1132.96793 0 1982.69388 DX10

0 -86742.8571 0 0 86742.8571 0 DY10-1982.69388 0 2313.14286 1982.69388 0 4626.28571 O10


0 86742.8571 0 0 -86742.8571 0 DY7-1982.69388 0 4626.28571 1982.69388 0 2313.14286 O7-1132.96793 0 1982.69388 1132.96793 0 1982.69388 DX11

0 -86742.8571 0 0 86742.8571 0 DY11-1982.69388 0 2313.14286 1982.69388 0 4626.28571 O11


0 86742.8571 0 0 -86742.8571 0 DY8-1982.69388 0 4626.28571 1982.69388 0 2313.14286 O8-1132.96793 0 1982.69388 1132.96793 0 1982.69388 DX12

0 -86742.8571 0 0 86742.8571 0 DY12-1982.69388 0 2313.14286 1982.69388 0 4626.28571 O12


22770 0 0 -22770 0 0 DX90 20.493 102.465 0 -20.493 102.465 DY90 102.465 683.1 0 -102.465 341.55 O9

-22770 0 0 22770 0 0 DX100 -20.493 -102.465 0 20.493 -102.465 DY100 102.465 341.55 0 -102.465 683.1 O10


22770 0 0 -22770 0 0 DX100 20.493 102.465 0 -20.493 102.465 DY100 102.465 683.1 0 -102.465 341.55 O10

-22770 0 0 22770 0 0 DX110 -20.493 -102.465 0 20.493 -102.465 DY110 102.465 341.55 0 -102.465 683.1 O11


22770 0 0 -22770 0 0 DX110 20.493 102.465 0 -20.493 102.465 DY110 102.465 683.1 0 -102.465 341.55 O11

-22770 0 0 22770 0 0 DX120 -20.493 -102.465 0 20.493 -102.465 DY120 102.465 341.55 0 -102.465 683.1 O12

DX1 DY1 O1 DX2 DY2 O21510.62390671 0 -2643.5918367 0 0 0

0 115657.142857 0 0 0 0-2643.5918367 0 6168.38095238 0 0 0

0 0 0 1510.62390671 0 -2643.59183670 0 0 0 115657.142857 00 0 0 -2643.5918367 0 6168.380952380 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 2643.59183673 1510.62390671 0 0 0

-115657.14286 0 0 0 0 00 3084.19047619 2643.59183673 0 0 00 0 0 -1510.6239067 0 2643.591836730 0 0 0 -115657.14286 00 0 0 -2643.5918367 0 3084.190476190 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 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 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

DX1 DY1 O1 DX2 DY2 O2MATRIZ REDUCIDA:DX5 DY5 O5 DX6 DY6 O625413.5918367 0 660.897959184 -22770 0 0

0 202420.493 102.465 0 -20.493 102.465660.897959184 102.465 11477.7666667 0 -102.465 341.55

-22770 0 0 48183.5918367 0 660.897959184

0 -20.493 -102.465 0 202440.986 00 102.465 341.55 660.897959184 0 12160.86666670 0 0 -22770 0 00 0 0 0 -20.493 -102.4650 0 0 0 102.465 341.550 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-1132.96793 0 1982.69387755 0 0 00 -86742.857143 0 0 0 0

-1982.6938776 0 2313.14285714 0 0 00 0 0 -1132.96793 0 1982.693877550 0 0 0 -86742.857143 00 0 0 -1982.6938776 0 2313.142857140 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 0

DX5 DY5 O5 DX6 DY6 O6

INVERSA DE LA MATRIZ REDUCIDA:0.00040620047 2.8994108E-07 -0.0001275316 0.00037591132 -2.1307788E-09 -0.0001134482.8994108E-07 8.6440871E-06 -1.9875524E-07 2.9586631E-07 2.8439016E-09 -1.9226017E-07-0.0001275316 -1.9875524E-07 0.0001452319 -0.0001230918 5.6089493E-08 4.2094093E-050.00037591132 2.9586631E-07 -0.0001230918 0.00038731541 -1.1682592E-08 -0.0001152944-2.1307788E-09 2.8439016E-09 5.6089493E-08 -1.1682592E-08 8.6404719E-06 8.0721879E-09

-0.000113448 -1.9226017E-07 4.2094093E-05 -0.0001152944 8.0721879E-09 0.000132130560.0003569071 3.0444656E-07 -0.0001204115 0.00036687696 -2.0262842E-08 -0.0001126495

1.9242071E-08 -1.2602037E-10 -7.2646477E-09 2.0262842E-08 3.0553188E-09 4.0958738E-08-0.0001113512 -1.4322924E-07 4.5093466E-05 -0.0001126495 -4.0958738E-08 3.9392222E-050.00034758875 3.0705237E-07 -0.0001188861 0.0003569071 -1.9242071E-08 -0.0001113512-3.0705237E-07 -5.5987582E-10 1.4993039E-07 -3.0444656E-07 -1.2602037E-10 1.4322924E-07-0.0001188861 -1.4993039E-07 4.7535394E-05 -0.0001204115 7.2646477E-09 4.5093466E-050.00066819409 1.0384452E-06 -0.0002991529 0.00066909729 -7.6405529E-08 -0.00027975213.9194098E-07 8.6427893E-06 -2.4254359E-07 4.0883365E-07 4.6709217E-09 -2.4285152E-07

-3.9247397E-05 -3.4110851E-07 -1.6751835E-06 -5.3125708E-05 1.6921237E-07 4.3830181E-050.00066670786 1.02868E-06 -0.0002951921 0.00066834124 -6.04831E-08 -0.0002805451.4067306E-08 4.6605683E-09 1.2662132E-08 -1.5004606E-08 8.6367409E-06 1.568308E-08

-4.7177303E-05 -2.8790666E-07 3.8795734E-05 -4.2592783E-05 1.0517909E-08 -9.4981745E-070.00066570439 1.013567E-06 -0.000292751 0.00066782022 -4.537011E-08 -0.00027813793.8556608E-08 -2.4464462E-10 -1.0575413E-08 4.1319677E-08 5.0882853E-09 -7.2585674E-09

-5.2879588E-05 -1.5238276E-07 3.5033031E-05 -5.0217389E-05 -1.2500598E-07 3.7330803E-050.00066576539 1.0079974E-06 -0.0002919081 0.00066809163 -4.5957734E-08 -0.0002772842

-4.4456489E-07 -9.6018459E-10 2.4045687E-07 -4.3514872E-07 -2.5499797E-10 2.3442701E-07-6.3629757E-05 -1.8664608E-07 4.1653352E-05 -6.0525234E-05 1.4749938E-08 3.9921991E-05

FUERZAS EN BARRAS

Barra 1- 5DX1 DY1 O1 DX5 DY5 O5

1510.62390671 0 -2643.5918367 -1510.6239067 0 -2643.59183670 115657.142857 0 0 -115657.14286 0

-2643.5918367 0 6168.38095238 2643.59183673 0 3084.19047619-1510.6239067 0 2643.59183673 1510.62390671 0 2643.59183673

0 -115657.14286 0 0 115657.142857 0-2643.5918367 0 3084.19047619 2643.59183673 0 6168.38095238

DX3 DY3 O3 DX4 DY4 O40 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

1510.62390671 0 -2643.5918367 0 0 00 115657.142857 0 0 0 0

-2643.5918367 0 6168.38095238 0 0 00 0 0 1510.62390671 0 -2643.59183670 0 0 0 115657.142857 00 0 0 -2643.5918367 0 6168.380952380 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

-1510.6239067 0 2643.59183673 0 0 00 -115657.14286 0 0 0 0

-2643.5918367 0 3084.19047619 0 0 00 0 0 -1510.6239067 0 2643.591836730 0 0 0 -115657.14286 00 0 0 -2643.5918367 0 3084.190476190 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 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


DX7 DY7 O7 DX8 DY8 O80 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-22770 0 0 0 0 0

0 -20.493 102.465 0 0 00 -102.465 341.55 0 0 0

48183.5918367 0 660.897959184 -22770 0 00 202440.986 0 0 -20.493 102.465

660.897959184 0 12160.8666667 0 -102.465 341.55-22770 0 0 25413.5918367 0 660.897959184

0 -20.493 -102.465 0 202420.493 -102.4650 102.465 341.55 660.897959184 -102.465 11477.76666670 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

-1132.96793 0 1982.69387755 0 0 00 -86742.857143 0 0 0 0

-1982.6938776 0 2313.14285714 0 0 0

0 0 0 -1132.96793 0 1982.693877550 0 0 0 -86742.857143 00 0 0 -1982.6938776 0 2313.14285714


0.0003569071 1.9242071E-08 -0.0001113512 0.00034758875 -3.0705237E-07 -0.00011888613.0444656E-07 -1.2602037E-10 -1.4322924E-07 3.0705237E-07 -5.5987582E-10 -1.4993039E-07-0.0001204115 -7.2646477E-09 4.5093466E-05 -0.0001188861 1.4993039E-07 4.7535394E-050.00036687696 2.0262842E-08 -0.0001126495 0.0003569071 -3.0444656E-07 -0.0001204115-2.0262842E-08 3.0553188E-09 -4.0958738E-08 -1.9242071E-08 -1.2602037E-10 7.2646477E-09-0.0001126495 4.0958738E-08 3.9392222E-05 -0.0001113512 1.4322924E-07 4.5093466E-050.00038731541 1.1682592E-08 -0.0001152944 0.00037591132 -2.9586631E-07 -0.00012309181.1682592E-08 8.6404719E-06 -8.0721879E-09 2.1307788E-09 2.8439016E-09 -5.6089493E-08-0.0001152944 -8.0721879E-09 0.00013213056 -0.000113448 1.9226017E-07 4.2094093E-050.00037591132 2.1307788E-09 -0.000113448 0.00040620047 -2.8994108E-07 -0.0001275316-2.9586631E-07 2.8439016E-09 1.9226017E-07 -2.8994108E-07 8.6440871E-06 1.9875524E-07-0.0001230918 -5.6089493E-08 4.2094093E-05 -0.0001275316 1.9875524E-07 0.00014523190.00066809163 4.5957734E-08 -0.0002772842 0.00066576539 -1.0079974E-06 -0.00029190814.3514872E-07 -2.5499797E-10 -2.3442701E-07 4.4456489E-07 -9.6018459E-10 -2.4045687E-07

-6.0525234E-05 -1.4749938E-08 3.9921991E-05 -6.3629757E-05 1.8664608E-07 4.1653352E-050.00066782022 4.537011E-08 -0.0002781379 0.00066570439 -1.013567E-06 -0.000292751-4.1319677E-08 5.0882853E-09 7.2585674E-09 -3.8556608E-08 -2.4464462E-10 1.0575413E-08-5.0217389E-05 1.2500598E-07 3.7330803E-05 -5.2879588E-05 1.5238276E-07 3.5033031E-050.00066834124 6.04831E-08 -0.000280545 0.00066670786 -1.02868E-06 -0.00029519211.5004606E-08 8.6367409E-06 -1.568308E-08 -1.4067306E-08 4.6605683E-09 -1.2662132E-08

-4.2592783E-05 -1.0517909E-08 -9.4981745E-07 -4.7177303E-05 2.8790666E-07 3.8795734E-050.00066909729 7.6405529E-08 -0.0002797521 0.00066819409 -1.0384452E-06 -0.0002991529

-4.0883365E-07 4.6709217E-09 2.4285152E-07 -3.9194098E-07 8.6427893E-06 2.4254359E-07-5.3125708E-05 -1.6921237E-07 4.3830181E-05 -3.9247397E-05 3.4110851E-07 -1.6751835E-06

Desplaz. K*D VFMEPDX1 0 -2.2845574392 0DY1 0 3.15024776655 0.7O1 0 7.60970305237 0DX5 0.00561 2.2845574392 0DY5 -0.00003 -3.1502477665 0.7O5 -0.00234 0.38624798482 0

DX5 DY5 O5 DX6 DY6 O6-1510.6239067 0 -2643.5918367 0 0 0

0 -115657.14286 0 0 0 02643.59183673 0 3084.19047619 0 0 0

0 0 0 -1510.6239067 0 -2643.59183670 0 0 0 -115657.14286 00 0 0 2643.59183673 0 3084.190476190 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

25413.5918367 0 660.897959184 -22770 0 00 202420.493 102.465 0 -20.493 102.465

660.897959184 102.465 11477.7666667 0 -102.465 341.55-22770 0 0 48183.5918367 0 660.897959184

0 -20.493 -102.465 0 202440.986 00 102.465 341.55 660.897959184 0 12160.86666670 0 0 -22770 0 00 0 0 0 -20.493 -102.4650 0 0 0 102.465 341.550 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

-1132.96793 0 1982.69387755 0 0 00 -86742.857143 0 0 0 0

-1982.6938776 0 2313.14285714 0 0 00 0 0 -1132.96793 0 1982.693877550 0 0 0 -86742.857143 00 0 0 -1982.6938776 0 2313.142857140 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


DX9 DY9 O9 DX10 DY10 O10-1132.96793 0 -1982.6938776 0 0 0

0 -86742.857143 0 0 0 01982.69387755 0 2313.14285714 0 0 0

0 0 0 -1132.96793 0 -1982.6938776

0 0 0 0 -86742.857143 00 0 0 1982.69387755 0 2313.142857140 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

23902.96793 0 1982.69387755 -22770 0 00 86763.3501429 102.465 0 -20.493 102.465

1982.69387755 102.465 5309.38571429 0 -102.465 341.55-22770 0 0 46672.96793 0 1982.69387755

0 -20.493 -102.465 0 86783.8431429 00 102.465 341.55 1982.69387755 0 5992.485714290 0 0 -22770 0 00 0 0 0 -20.493 -102.4650 0 0 0 102.465 341.55

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


0.00066819409 3.9194098E-07 -3.9247397E-05 0.00066670786 1.4067306E-08 -4.7177303E-051.0384452E-06 8.6427893E-06 -3.4110851E-07 1.02868E-06 4.6605683E-09 -2.8790666E-07-0.0002991529 -2.4254359E-07 -1.6751835E-06 -0.0002951921 1.2662132E-08 3.8795734E-050.00066909729 4.0883365E-07 -5.3125708E-05 0.00066834124 -1.5004606E-08 -4.2592783E-05-7.6405529E-08 4.6709217E-09 1.6921237E-07 -6.04831E-08 8.6367409E-06 1.0517909E-08-0.0002797521 -2.4285152E-07 4.3830181E-05 -0.000280545 1.568308E-08 -9.4981745E-070.00066809163 4.3514872E-07 -6.0525234E-05 0.00066782022 -4.1319677E-08 -5.0217389E-054.5957734E-08 -2.5499797E-10 -1.4749938E-08 4.537011E-08 5.0882853E-09 1.2500598E-07-0.0002772842 -2.3442701E-07 3.9921991E-05 -0.0002781379 7.2585674E-09 3.7330803E-050.00066576539 4.4456489E-07 -6.3629757E-05 0.00066570439 -3.8556608E-08 -5.2879588E-05-1.0079974E-06 -9.6018459E-10 1.8664608E-07 -1.013567E-06 -2.4464462E-10 1.5238276E-07-0.0002919081 -2.4045687E-07 4.1653352E-05 -0.000292751 1.0575413E-08 3.5033031E-050.00193865218 1.7394706E-06 -0.0003269662 0.00190342977 -1.5273946E-07 -0.0002668731.7394706E-06 2.0167976E-05 -7.4624482E-07 1.7204212E-06 8.8688133E-09 -6.2714722E-07-0.0003269662 -7.4624482E-07 0.00029333328 -0.0003158861 4.4412955E-07 4.9877334E-050.00190342977 1.7204212E-06 -0.0003158861 0.00191175587 -1.2126421E-07 -0.0002700832-1.5273946E-07 8.8688133E-09 4.4412955E-07 -1.2126421E-07 2.0156467E-05 2.2854792E-08

-0.000266873 -6.2714722E-07 4.9877334E-05 -0.0002700832 2.2854792E-08 0.000237440440.00188202682 1.6908774E-06 -0.0003097207 0.00189008731 -9.1720454E-08 -0.00026402039.3153375E-08 -5.9316374E-10 -3.7078942E-08 9.1720454E-08 9.8286643E-09 3.3420595E-07-0.0002619172 -2.7008647E-07 6.0264847E-05 -0.0002640203 -3.3420595E-07 3.9365681E-050.00187407482 1.6798846E-06 -0.0003072307 0.00188202682 -9.3153375E-08 -0.0002619172

-1.6798846E-06 -1.6796407E-09 3.3919421E-07 -1.6908774E-06 -5.9316374E-10 2.7008647E-07-0.0003072307 -3.3919421E-07 6.8951691E-05 -0.0003097207 3.7078942E-08 6.0264847E-05

F=K*D+VFMEP-2.28463.85027.60972.2846

-2.45020.3862

DX7 DY7 O7 DX8 DY8 O8 DX90 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

-1510.6239067 0 -2643.5918367 0 0 0 00 -115657.14286 0 0 0 0 0

2643.59183673 0 3084.19047619 0 0 0 00 0 0 -1510.6239067 0 -2643.5918367 00 0 0 0 -115657.14286 0 00 0 0 2643.59183673 0 3084.19047619 00 0 0 0 0 0 -1132.967930 0 0 0 0 0 00 0 0 0 0 0 1982.69388

-22770 0 0 0 0 0 00 -20.493 102.465 0 0 0 00 -102.465 341.55 0 0 0 0

48183.5918367 0 660.897959184 -22770 0 0 00 202440.986 0 0 -20.493 102.465 0

660.897959184 0 12160.8666667 0 -102.465 341.55 0-22770 0 0 25413.5918367 0 660.897959184 0

0 -20.493 -102.465 0 202420.493 -102.465 00 102.465 341.55 660.897959184 -102.465 11477.7666667 00 0 0 0 0 0 23902.96790 0 0 0 0 0 00 0 0 0 0 0 1982.693880 0 0 0 0 0 -227700 0 0 0 0 0 00 0 0 0 0 0 0

-1132.96793 0 1982.69387755 0 0 0 00 -86742.857143 0 0 0 0 0

-1982.6938776 0 2313.14285714 0 0 0 00 0 0 -1132.96793 0 1982.69387755 00 0 0 0 -86742.857143 0 00 0 0 -1982.6938776 0 2313.14285714 0

DX7 DY7 O7 DX8 DY8 O8 DX9

DX11 DY11 O11 DX12 DY12 O120 0 0 0 0 0 DX50 0 0 0 0 0 DY50 0 0 0 0 0 O50 0 0 0 0 0 DX6

0 0 0 0 0 0 DY60 0 0 0 0 0 O6

-1132.96793 0 -1982.6938776 0 0 0 DX70 -86742.857143 0 0 0 0 DY7

1982.69387755 0 2313.14285714 0 0 0 O70 0 0 -1132.96793 0 -1982.6938776 DX80 0 0 0 -86742.857143 0 DY80 0 0 1982.69387755 0 2313.14285714 O80 0 0 0 0 0 DX90 0 0 0 0 0 DY90 0 0 0 0 0 O9

-22770 0 0 0 0 0 DX100 -20.493 102.465 0 0 0 DY100 -102.465 341.55 0 0 0 O10

46672.96793 0 1982.69387755 -22770 0 0 DX110 86783.8431429 0 0 -20.493 102.465 DY11

1982.69387755 0 5992.48571429 0 -102.465 341.55 O11

-22770 0 0 23902.96793 0 1982.69387755 DX120 -20.493 -102.465 0 86763.3501429 -102.465 DY120 102.465 341.55 1982.69387755 -102.465 5309.38571429 O12

DX11 DY11 O11 DX12 DY12 O12

0.00066570439 3.8556608E-08 -5.2879588E-05 0.00066576539 -4.4456489E-07 -6.3629757E-05 DX51.013567E-06 -2.4464462E-10 -1.5238276E-07 1.0079974E-06 -9.6018459E-10 -1.8664608E-07 DY5-0.000292751 -1.0575413E-08 3.5033031E-05 -0.0002919081 2.4045687E-07 4.1653352E-05 O5

0.00066782022 4.1319677E-08 -5.0217389E-05 0.00066809163 -4.3514872E-07 -6.0525234E-05 DX6-4.537011E-08 5.0882853E-09 -1.2500598E-07 -4.5957734E-08 -2.5499797E-10 1.4749938E-08 DY6-0.0002781379 -7.2585674E-09 3.7330803E-05 -0.0002772842 2.3442701E-07 3.9921991E-05 O60.00066834124 1.5004606E-08 -4.2592783E-05 0.00066909729 -4.0883365E-07 -5.3125708E-05 DX7

6.04831E-08 8.6367409E-06 -1.0517909E-08 7.6405529E-08 4.6709217E-09 -1.6921237E-07 DY7-0.000280545 -1.568308E-08 -9.4981745E-07 -0.0002797521 2.4285152E-07 4.3830181E-05 O7

0.00066670786 -1.4067306E-08 -4.7177303E-05 0.00066819409 -3.9194098E-07 -3.9247397E-05 DX8-1.02868E-06 4.6605683E-09 2.8790666E-07 -1.0384452E-06 8.6427893E-06 3.4110851E-07 DY8

-0.0002951921 -1.2662132E-08 3.8795734E-05 -0.0002991529 2.4254359E-07 -1.6751835E-06 O80.00188202682 9.3153375E-08 -0.0002619172 0.00187407482 -1.6798846E-06 -0.0003072307 DX91.6908774E-06 -5.9316374E-10 -2.7008647E-07 1.6798846E-06 -1.6796407E-09 -3.3919421E-07 DY9-0.0003097207 -3.7078942E-08 6.0264847E-05 -0.0003072307 3.3919421E-07 6.8951691E-05 O90.00189008731 9.1720454E-08 -0.0002640203 0.00188202682 -1.6908774E-06 -0.0003097207 DX10-9.1720454E-08 9.8286643E-09 -3.3420595E-07 -9.3153375E-08 -5.9316374E-10 3.7078942E-08 DY10-0.0002640203 3.3420595E-07 3.9365681E-05 -0.0002619172 2.7008647E-07 6.0264847E-05 O100.00191175587 1.2126421E-07 -0.0002700832 0.00190342977 -1.7204212E-06 -0.0003158861 DX111.2126421E-07 2.0156467E-05 -2.2854792E-08 1.5273946E-07 8.8688133E-09 -4.4412955E-07 DY11-0.0002700832 -2.2854792E-08 0.00023744044 -0.000266873 6.2714722E-07 4.9877334E-05 O110.00190342977 1.5273946E-07 -0.000266873 0.00193865218 -1.7394706E-06 -0.0003269662 DX12

-1.7204212E-06 8.8688133E-09 6.2714722E-07 -1.7394706E-06 2.0167976E-05 7.4624482E-07 DY12-0.0003158861 -4.4412955E-07 4.9877334E-05 -0.0003269662 7.4624482E-07 0.00029333328 O12

DY9 O9 DX10 DY10 O10 DX11 DY11 O110 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 -1982.69388 0 0 0 0 0 0

-86742.8571 0 0 0 0 0 0 00 2313.14286 0 0 0 0 0 00 0 -1132.9679 0 -1982.69388 0 0 00 0 0 -86742.8571 0 0 0 00 0 1982.6939 0 2313.14286 0 0 00 0 0 0 0 -1132.96793 0 -1982.693880 0 0 0 0 0 -86742.8571 00 0 0 0 0 1982.69388 0 2313.142860 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 1982.69388 -22770 0 0 0 0 0

86763.3501 102.465 0 -20.493 102.465 0 0 0102.465 5309.38571 0 -102.465 341.55 0 0 0

0 0 46672.968 0 1982.69388 -22770 0 0-20.493 -102.465 0 86783.8431 0 0 -20.493 102.465102.465 341.55 1982.6939 0 5992.48571 0 -102.465 341.55

0 0 -22770 0 0 46672.9679 0 1982.693880 0 0 -20.493 -102.465 0 86783.8431 00 0 0 102.465 341.55 1982.69388 0 5992.485710 0 0 0 0 -22770 0 00 0 0 0 0 0 -20.493 -102.4650 0 0 0 0 0 102.465 341.55

DY9 O9 DX10 DY10 O10 DX11 DY11 O11

F=K*D+FEP

VF-VFMEP desplaz.5.25 0.00561

-2.35 -0.00003-1.875 -0.00234

0 0.00548-3.475 -0.00005

0 -0.002070 0.00539

-3.475 -0.000050 -0.002040 0.00535

-2.35 -0.000041.875 -0.00205

5.25 0.01374-1.65 -0.00004

-1.875 -0.002260 0.01351

-2.775 -0.000090 -0.001640 0.01336

-2.775 -0.000090 -0.001660 0.01328

D=K-1(F-FMEP)

-1.65 -0.000061.875 -0.00161

DX12 DY12 O12 VF VFMEP VF-VFMEP D0 0 0 DX1 0 0 0.0000000 0 0 DY1 0.7 -0.7 0.0000000 0 0 O1 0 0 0.0000000 0 0 DX2 0 0 0.0000000 0 0 DY2 0.7 -0.7 0.0000000 0 0 O2 0 0 0.0000000 0 0 DX3 0 0 0.0000000 0 0 DY3 0.7 -0.7 0.0000000 0 0 O3 0 0 0.0000000 0 0 DX4 0 0 0.0000000 0 0 DY4 0.7 -0.7 0.0000000 0 0 O4 0 0 0.0000000 0 0 DX5 5.25 0 5.25 0.0056110 0 0 DY5 2.35 -2.35 -0.0000270 0 0 O5 1.875 -1.875 -0.0023420 0 0 DX6 0 0 0.0054770 0 0 DY6 3.475 -3.475 -0.0000550 0 0 O6 0 0 -0.0020660 0 0 DX7 0 0 0.0053900 0 0 DY7 3.475 -3.475 -0.0000540 0 0 O7 0 0 -0.002039

-1132.96793 0 -1982.69388 DX8 0 0 0.0053500 -86742.8571 0 DY8 2.35 -2.35 -0.000041

1982.69388 0 2313.14286 O8 -1.875 1.875 -0.0020550 0 0 DX9 5.25 0 5.25 0.0137370 0 0 DY9 1.65 -1.65 -0.0000420 0 0 O9 1.875 -1.875 -0.0022630 0 0 DX10 0 0 0.0135090 0 0 DY10 2.775 -2.775 -0.0000880 0 0 O10 0 0 -0.001637

-22770 0 0 DX11 0 0 0.0133590 -20.493 102.465 DY11 2.775 -2.775 -0.0000860 -102.465 341.55 O11 0 0 -0.001665

23902.9679 0 1982.69388 DX12 0 0 0.0132830 86763.3501 -102.465 DY12 1.65 -1.65 -0.000064

1982.69388 -102.465 5309.38571 O12 -1.875 1.875 -0.001607DX12 DY12 O12

REACCIONESF F+VFMEP-2.285 -2.285 FX13.150 3.850 FY17.610 7.610 M1

-2.812 -2.812 FX26.341 7.041 FY28.108 8.108 M2

-2.753 -2.753 FX36.254 6.954 FY37.962 7.962 M3

-2.650 -2.650 FX44.755 5.455 FY47.805 7.805 M45.250 5.250 FX5

-2.350 0.000 FY5-1.875 0.000 M50.000 0.000 FX6

-3.475 0.000 FY60.000 0.000 M60.000 0.000 FX7

-3.475 0.000 FY70.000 0.000 M70.000 0.000 FX8

-2.350 0.000 FY81.875 0.000 M85.250 5.250 FX9

-1.650 0.000 FY9-1.875 0.000 M90.000 0.000 FX10

-2.775 0.000 FY100.000 0.000 M100.000 0.000 FX11

-2.775 0.000 FY110.000 0.000 M110.000 0.000 FX12

-1.650 0.000 FY121.875 0.000 M12

REACCIONESFuerza Hz FHz+PP FHz+Plosa FHz+PSC

FX1 -2.5989 -2.2846FY1 -0.8066 3.8502M1 8.0025 7.6097FX2 -2.8306 -2.8125FY2 0.0477 7.0408M2 8.1368 8.1079FX3 -2.7352 -2.7533FY3 -0.0396 6.9536M3 7.9330 7.9620FX4 -2.3353 -2.6497FY4 0.7985 5.4553M4 7.4126 7.8054FX5 5.2500 5.2500FY5 0.0000 0.0000M5 0.0000 0.0000FX6 0.0000 0.0000FY6 0.0000 0.0000M6 0.0000 0.0000FX7 0.0000 0.0000FY7 0.0000 0.0000M7 0.0000 0.0000FX8 0.0000 0.0000FY8 0.0000 0.0000M8 0.0000 0.0000FX9 5.2500 5.2500FY9 0.0000 0.0000M9 0.0000 0.0000

FX10 0.0000 0.0000FY10 0.0000 0.0000M10 0.0000 0.0000FX11 0.0000 0.0000FY11 0.0000 0.0000M11 0.0000 0.0000FX12 0.0000 0.0000FY12 0.0000 0.0000M12 0.0000 0.0000

Date post:	12-Aug-2015
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Portico 3 vanos.xlsx

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