Flexibilidades (1).xlsx

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Matriz Primaria Barra Caso1 Caso2 Caso3 Caso4 Caso5 Caso6 1 0.75 -0.75 0.75 -0.50 0.75 -0.25 2 0.75 -0.75 0.75 -0.50 0.75 -0.25 3 0.25 -0.25 0.25 -0.50 0.25 -0.75 4 0.25 -0.25 0.25 -0.50 0.25 -0.75 5 -0.50 0.50 0.50 1.00 0.50 0.50 6 -0.50 0.50 -0.50 1.00 0.50 0.50 7 0.35 1.06 0.35 0.71 0.35 0.35 8 0.00 0.00 0.00 0.00 0.00 0.00 9 -0.35 0.35 -0.35 -0.71 -0.35 -0.35 10 0.00 0.00 0.00 1.00 0.00 0.00 11 0.35 -0.35 0.35 -0.71 0.35 0.35 12 0.00 0.00 0.00 0.00 0.00 0.00 13 -0.35 0.35 -0.35 0.71 -0.35 1.06 14 0.00 0.00 0.00 0.00 0.00 0.00 15 0.00 0.00 0.00 0.00 0.00 0.00 Matriz de Redundantes Fuer Barra Caso1 Caso2 Caso3 Caso4 Nodo 1 0.00 0.00 -1.00 -0.50 1x 2 -0.71 0.00 -1.00 -0.50 1y 3 0.00 -0.71 -1.00 -0.50 2x 4 0.00 0.00 -1.00 -0.50 2y 5 -0.71 0.00 0.00 1.00 3x 6 0.00 -0.71 0.00 1.00 3y 7 0.00 0.00 0.00 0.71 4x 8 -0.71 0.00 0.00 0.00 4y 9 1.00 0.00 0.00 -0.71 5x 10 -0.71 -0.71 0.00 0.00 6x 11 0.00 1.00 0.00 -0.71 6y 12 0.00 -0.71 0.00 0.00 13 0.00 0.00 0.00 0.71 14 1.00 0.00 0.00 0.00 15 0.00 1.00 0.00 0.00

Transcript of Flexibilidades (1).xlsx

Page 1: Flexibilidades (1).xlsx

Matriz PrimariaBarra Caso1 Caso2 Caso3 Caso4 Caso5 Caso6 Caso7

1 0.75 -0.75 0.75 -0.50 0.75 -0.25 1.002 0.75 -0.75 0.75 -0.50 0.75 -0.25 0.003 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.004 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.005 -0.50 0.50 0.50 1.00 0.50 0.50 0.006 -0.50 0.50 -0.50 1.00 0.50 0.50 0.007 0.35 1.06 0.35 0.71 0.35 0.35 0.008 0.00 0.00 0.00 0.00 0.00 0.00 0.009 -0.35 0.35 -0.35 -0.71 -0.35 -0.35 0.00

10 0.00 0.00 0.00 1.00 0.00 0.00 0.0011 0.35 -0.35 0.35 -0.71 0.35 0.35 0.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.0013 -0.35 0.35 -0.35 0.71 -0.35 1.06 0.0014 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Matriz de Redundantes FuerzasBarra Caso1 Caso2 Caso3 Caso4 Nodo F

1 0.00 0.00 -1.00 -0.50 1x 25.002 -0.71 0.00 -1.00 -0.50 1y 20.003 0.00 -0.71 -1.00 -0.50 2x 0.004 0.00 0.00 -1.00 -0.50 2y 0.005 -0.71 0.00 0.00 1.00 3x 0.006 0.00 -0.71 0.00 1.00 3y 0.007 0.00 0.00 0.00 0.71 4x 0.008 -0.71 0.00 0.00 0.00 4y 0.009 1.00 0.00 0.00 -0.71 5x 0.00

10 -0.71 -0.71 0.00 0.00 6x -5.0011 0.00 1.00 0.00 -0.71 6y 20.0012 0.00 -0.71 0.00 0.0013 0.00 0.00 0.00 0.7114 1.00 0.00 0.00 0.0015 0.00 1.00 0.00 0.00

Page 2: Flexibilidades (1).xlsx

Matriz Primaria Matriz de FlexibilidadesCaso8 Caso9 Caso11 Caso12 Barra 1 2

-0.75 1.00 1.00 -0.25 1 1.00 0.00-0.75 1.00 1.00 -0.25 2 0.00 1.00-0.25 0.00 1.00 -0.75 3 0.00 0.00-0.25 0.00 0.00 -0.75 4 0.00 0.000.50 0.00 0.00 0.50 5 0.00 0.000.50 0.00 0.00 0.50 6 0.00 0.001.06 0.00 0.00 0.35 7 0.00 0.00

-1.00 0.00 0.00 0.00 8 0.00 0.000.35 0.00 0.00 -0.35 9 0.00 0.000.00 0.00 0.00 0.00 10 0.00 0.00

-0.35 0.00 0.00 0.35 11 0.00 0.000.00 0.00 0.00 -1.00 12 0.00 0.000.35 0.00 0.00 1.06 13 0.00 0.000.00 0.00 0.00 0.00 14 0.00 0.000.00 0.00 0.00 0.00 15 0.00 0.00

So(Tn) br transpuesta-6.25 -6.25 -6.25 -6.25 0 -0.70710678-6.25 -6.25 -6.25 -6.25 0 0

-18.75 -18.75 -18.75 -18.75 -1 -1-13.75 -13.75 -13.75 -13.75 -0.5 -0.5

7.5 7.5 7.5 7.57.5 7.5 7.5 7.5 brt*f

37.123106 37.123106 37.123106 37.123106 0 -0.707106780 0 0 0 0 0

-8.83883476 -8.83883476 -8.83883476 -8.83883476 -1 -10 0 0 0 -0.5 -0.5

8.83883476 8.83883476 8.83883476 8.83883476-20 -20 -20 -20 brt*f*br

19.4454365 19.4454365 19.4454365 19.4454365 7.5082 10 0 0 0 1 7.50 0 0 0 0.70710678 0.70710678

-2.47487373 -2.47487373

brt*f*so-23.8648539 -23.864853948.6135912 48.6135912

45 4592.5 92.5

Page 3: Flexibilidades (1).xlsx

Matriz de Flexibilidades3 4 5 6 7 8 9 10

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 1.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 2.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 1.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 2.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 2.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 2.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

br transpuesta0 0 -0.70710678 0 0 -0.71 1 -0.70710678

-0.70710678 0 0 -0.70710678 0 0 0 -0.70710678-1 -1 0 0 0 0 0 0

-0.5 -0.5 1 1 0.707106781 0 -0.70710678 0

brt*f0 0 -1.41421356 0 0 -1.42 2 -1.41421356

-0.70710678 0 0 -1.41421356 0 0 0 -1.41421356-1 -1 0 0 0 0 0 0

-0.5 -0.5 2 2 0.707106781 0 -1.41421356 0

brt*f*br0.70710678 -2.47487373 0.160543784 0.006900163 -0.06342897 0.067657570.70710678 -2.47487373 0.006900163 0.160755021 -0.06350899 0.06774292

4 2 -0.06342897 -0.06350899 0.3337993 -0.122719252 8 0.067657572 0.067742924 -0.12271925 0.19756721

brt*f*so -br*f*so-23.8648539 -23.8648539 23.86485387 23.86485387 23.8648539 23.864853948.6135912 48.6135912 -48.6135912 -48.6135912 -48.6135912 -48.6135912

45 45 -45 -45 -45 -4592.5 92.5 -92.5 -92.5 -92.5 -92.5

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Matriz de Flexibilidades11 12 13 14 15

0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.002.00 0.00 0.00 0.00 0.000.00 2.00 0.00 0.00 0.000.00 0.00 1.00 0.00 0.000.00 0.00 0.00 2.00 0.000.00 0.00 0.00 0.00 2.00

br transpuesta0 0 0 1 01 -0.70710678 0 0 10 0 0 0 0

-0.70710678 0 0.70710678 0 0

brt*f0 0 0 2 02 -1.41421356 0 0 20 0 0 0 0

-1.41421356 0 0.70710678 0 0

R4.0969402 4.10210865 2.00803848 5.01754844

-8.34561893 -8.35614725 -4.09044876 -10.220932-7.72526453 -7.73501025 -3.78639367 -9.46118008-15.8797104 -15.8997433 -7.78314255 -19.4479813

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Matriz PrimariaBarra Caso1 Caso2 Caso3 Caso4 Caso5 Caso6 Caso7 Caso8 Caso9 Caso10 Caso11 Caso12

1 0.75 -0.75 0.75 -0.50 0.75 -0.25 1.00 -0.75 1.00 -0.50 1.00 -0.252 0.75 -0.75 0.75 -0.50 0.75 -0.25 0.00 -0.75 1.00 -0.50 1.00 -0.253 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.00 -0.25 0.00 -0.50 1.00 -0.754 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.00 -0.25 0.00 -0.50 0.00 -0.755 -0.50 0.50 0.50 1.00 0.50 0.50 0.00 0.50 0.00 1.00 0.00 0.506 -0.50 0.50 -0.50 1.00 0.50 0.50 0.00 0.50 0.00 1.00 0.00 0.507 0.35 1.06 0.35 0.71 0.35 0.35 0.00 1.06 0.00 0.71 0.00 0.358 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1.00 0.00 0.00 0.00 0.009 -0.35 0.35 -0.35 -0.71 -0.35 -0.35 0.00 0.35 0.00 -0.71 0.00 -0.35

10 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0011 0.35 -0.35 0.35 -0.71 0.35 0.35 0.00 -0.35 0.00 -0.71 0.00 0.3512 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1.0013 -0.35 0.35 -0.35 0.71 -0.35 1.06 0.00 0.35 0.00 0.71 0.00 1.0614 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Matriz de Redundantes Fuerzas So(Tn)Barra Caso1 Caso2 Caso3 Caso4 Nodo F -6.25 -6.25 -6.25

1 0.00 0.00 -1.00 -0.50 1x 25.00 -6.25 -6.25 -6.252 -0.71 0.00 -1.00 -0.50 1y 20.00 -18.75 -18.75 -18.753 0.00 -0.71 -1.00 -0.50 2x 0.00 -13.75 -13.75 -13.754 0.00 0.00 -1.00 -0.50 2y 0.00 7.50 7.50 7.505 -0.71 0.00 0.00 1.00 3x 0.00 7.50 7.50 7.506 0.00 -0.71 0.00 1.00 3y 0.00 37.12 37.12 37.127 0.00 0.00 0.00 0.71 4x 0.00 0.00 0.00 0.008 -0.71 0.00 0.00 0.00 4y 0.00 -8.84 -8.84 -8.849 1.00 0.00 0.00 -0.71 5x 0.00 0.00 0.00 0.00

10 -0.71 -0.71 0.00 0.00 5y 0.00 8.84 8.84 8.8411 0.00 1.00 0.00 -0.71 6x -5.00 -20.00 -20.00 -20.0012 0.00 -0.71 0.00 0.00 6y 20.00 19.45 19.45 19.4513 0.00 0.00 0.00 0.71 0.00 0.00 0.0014 1.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 1.00 0.00 0.00

Page 6: Flexibilidades (1).xlsx

Matriz de FlexibilidadesBarra 1 2 3 4 5 6 7 8 9 10 11

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.005 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.006 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.0011 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0014 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

br transpuesta0.00 -0.71 0.00 0.00 -0.71 0.00 0.00 -0.71 1.00 -0.71 0.000.00 0.00 -0.71 0.00 0.00 -0.71 0.00 0.00 0.00 -0.71 1.00

-1.00 -1.00 -1.00 -1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

brt*f0.00 -0.71 0.00 0.00 -1.41 0.00 0.00 -1.42 2.00 -1.41 0.000.00 0.00 -0.71 0.00 0.00 -1.41 0.00 0.00 0.00 -1.41 2.00

-1.00 -1.00 -1.00 -1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

brt*f*br7.51 1.00 0.71 0.14 -0.02 -0.021.00 7.50 0.71 -0.02 0.14 -0.020.71 0.71 4.00 -0.02 -0.02 0.26

brt*f*so -br*f*so R-23.86 -23.86 -23.86 23.86 23.86 23.86 5.03 5.03 5.0348.61 48.61 48.61 -48.61 -48.61 -48.61 -6.11 -6.11 -6.1145.00 45.00 45.00 -45.00 -45.00 -45.00 -11.06 -11.06 -11.06

br*R S e(mm)11.06 11.06 11.06 4.81 4.81 4.81 4.81 4.81 4.81

7.50 7.50 7.50 1.25 1.25 1.25 1.25 1.25 1.2515.38 15.38 15.38 -3.37 -3.37 -3.37 -3.37 -3.37 -3.3711.06 11.06 11.06 -2.69 -2.69 -2.69 -2.69 -2.69 -2.69-3.56 -3.56 -3.56 3.94 3.94 3.94 7.88 7.88 7.884.32 4.32 4.32 11.82 11.82 11.82 23.64 23.64 23.640.00 0.00 0.00 37.12 37.12 37.12 37.12 37.12 37.12

-3.57 -3.57 -3.57 -3.57 -3.57 -3.57 -7.15 -7.15 -7.155.03 5.03 5.03 -3.80 -3.80 -3.80 -7.61 -7.61 -7.61

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0.76 0.76 0.76 0.76 0.76 0.76 1.52 1.52 1.52-6.11 -6.11 -6.11 2.73 2.73 2.73 5.46 5.46 5.464.32 4.32 4.32 -15.68 -15.68 -15.68 -31.36 -31.36 -31.360.00 0.00 0.00 19.45 19.45 19.45 19.45 19.45 19.455.03 5.03 5.03 5.03 5.03 5.03 10.07 10.07 10.07

-6.11 -6.11 -6.11 -6.11 -6.11 -6.11 -12.22 -12.22 -12.22

Page 8: Flexibilidades (1).xlsx

Matriz de Flexibilidades12 13 14 15 bo transpuesta

0.00 0.00 0.00 0.00 0.75 0.75 0.25 0.25 -0.50 -0.50 0.35 0.000.00 0.00 0.00 0.00 -0.75 -0.75 -0.25 -0.25 0.50 0.50 1.06 0.000.00 0.00 0.00 0.00 0.75 0.75 0.25 0.25 0.50 -0.50 0.35 0.000.00 0.00 0.00 0.00 -0.50 -0.50 -0.50 -0.50 1.00 1.00 0.71 0.000.00 0.00 0.00 0.00 0.75 0.75 0.25 0.25 0.50 0.50 0.35 0.000.00 0.00 0.00 0.00 -0.25 -0.25 -0.75 -0.75 0.50 0.50 0.35 0.000.00 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -0.75 -0.75 -0.25 -0.25 0.50 0.50 1.06 -1.000.00 0.00 0.00 0.00 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -0.50 -0.50 -0.50 -0.50 1.00 1.00 0.71 0.000.00 0.00 0.00 0.00 1.00 1.00 1.00 0.00 0.00 0.00 0.00 0.002.00 0.00 0.00 0.00 -0.25 -0.25 -0.75 -0.75 0.50 0.50 0.35 0.000.00 1.00 0.00 0.000.00 0.00 2.00 0.000.00 0.00 0.00 2.00 Ho Hr Hr*R

-60.00 0.00 0.00 1.00 -11.06br transpuesta 7.50 0.00 0.00 0.00 0.00

0.00 0.00 1.00 0.00 0.00 0.00 0.00 -1.00 11.06-0.71 0.00 0.00 1.00 22.50 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00

brt*f0.00 0.00 2.00 0.00

-1.41 0.00 0.00 2.000.00 0.00 0.00 0.00

ur u(mm)0.00 0.00 0.00 -1.86 -1.86 -1.860.00 0.00 0.00 54.36 54.36 54.360.00 0.00 0.00 6.02 6.02 6.02

74.57 74.57 74.5729.66 29.66 29.6657.16 57.16 57.16

4.81 4.81 4.8161.51 61.51 61.51

6.06 6.06 6.06

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73.04 73.04 73.042.69 2.69 2.69

88.52 88.52 88.52

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bo transpuesta-0.35 0.00 0.35 0.00 -0.35 0.00 0.000.35 0.00 -0.35 0.00 0.35 0.00 0.00

-0.35 0.00 0.35 0.00 -0.35 0.00 0.00-0.71 1.00 -0.71 0.00 0.71 0.00 0.00-0.35 0.00 0.35 0.00 -0.35 0.00 0.00-0.35 0.00 0.35 0.00 1.06 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.000.35 0.00 -0.35 0.00 0.35 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

-0.71 0.00 -0.71 0.00 0.71 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00

-0.35 0.00 0.35 -1.00 1.06 0.00 0.00

H-71.06

7.5011.0622.50

Page 11: Flexibilidades (1).xlsx

Matriz PrimariaBarra Caso1 Caso2 Caso3 Caso4 Caso5 Caso6 Caso7 Caso8 Caso9 Caso10 Caso11 Caso12

1 0.75 -0.75 0.75 -0.50 0.75 -0.25 1.00 -0.75 1.00 -0.50 1.00 -0.252 0.75 -0.75 0.75 -0.50 0.75 -0.25 0.00 -0.75 1.00 -0.50 1.00 -0.253 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.00 -0.25 0.00 -0.50 1.00 -0.754 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.00 -0.25 0.00 -0.50 0.00 -0.755 -0.50 0.50 0.50 1.00 0.50 0.50 0.00 0.50 0.00 1.00 0.00 0.506 -0.50 0.50 -0.50 1.00 0.50 0.50 0.00 0.50 0.00 1.00 0.00 0.507 0.35 1.06 0.35 0.71 0.35 0.35 0.00 1.06 0.00 0.71 0.00 0.358 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1.00 0.00 0.00 0.00 0.009 -0.35 0.35 -0.35 -0.71 -0.35 -0.35 0.00 0.35 0.00 -0.71 0.00 -0.35

10 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0011 0.35 -0.35 0.35 -0.71 0.35 0.35 0.00 -0.35 0.00 -0.71 0.00 0.3512 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1.0013 -0.35 0.35 -0.35 0.71 -0.35 1.06 0.00 0.35 0.00 0.71 0.00 1.0614 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Matriz de Redundantes Fuerzas So(Tn)Barra Caso1 Caso2 Caso3 Caso4 Nodo F -6.25 -6.25 -6.25

1 0.00 0.00 -1.00 -0.50 1x 25.00 -6.25 -6.25 -6.252 -0.71 0.00 -1.00 -0.50 1y 20.00 -18.75 -18.75 -18.753 0.00 -0.71 -1.00 -0.50 2x 0.00 -13.75 -13.75 -13.754 0.00 0.00 -1.00 -0.50 2y 0.00 7.50 7.50 7.505 -0.71 0.00 0.00 1.00 3x 0.00 7.50 7.50 7.506 0.00 -0.71 0.00 1.00 3y 0.00 37.12 37.12 37.127 0.00 0.00 0.00 0.71 4x 0.00 0.00 0.00 0.008 -0.71 0.00 0.00 0.00 4y 0.00 -8.84 -8.84 -8.849 1.00 0.00 0.00 -0.71 5x 0.00 0.00 0.00 0.00

10 -0.71 -0.71 0.00 0.00 5y 0.00 8.84 8.84 8.8411 0.00 1.00 0.00 -0.71 6x -5.00 -20.00 -20.00 -20.0012 0.00 -0.71 0.00 0.00 6y 20.00 19.45 19.45 19.4513 0.00 0.00 0.00 0.71 0.00 0.00 0.0014 1.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 1.00 0.00 0.00

Page 12: Flexibilidades (1).xlsx

Matriz de FlexibilidadesBarra 1 2 3 4 5 6 7 8 9 10 11 12

1 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.002 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.003 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.004 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.005 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 0.006 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.007 0.00 0.00 0.00 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.008 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.009 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00

10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.00 0.0011 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.0013 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0014 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

So(Tn) br transpuesta-6.25 0.00 -0.71 0.00 0.00 -0.71 0.00 0.00 -0.71 1.00 -0.71 0.00 0.00-6.25 0.00 0.00 -0.71 0.00 0.00 -0.71 0.00 0.00 0.00 -0.71 1.00 -0.71

-18.75 -1.00 -1.00 -1.00 -1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00-13.75 -0.5 -0.5 -0.5 -0.5 1 1 0.7071 0 -0.7071 0 -0.71 0

7.57.5 brt*f

37.123 0 -0.707 0 0 -1.414 0 0 -1.42 2 -1.41 0 00 0 0 -0.707 0 0 -1.414 0 0 0 -1.41 2 -1.414

-8.839 -1 -1 -1 -1 0 0 0 0 0 0 0 00 -0.5 -0.5 -0.5 -0.5 2 2 0.7071 0 -1.4142 0 -1.41 0

8.8388-20 brt*f*br

19.445 7.51 1.00 0.71 -2.47 0.16 0.01 -0.06 0.070 1.00 7.50 0.71 -2.47 0.01 0.16 -0.06 0.070 0.71 0.71 4.00 2.00 -0.06 -0.06 0.33 -0.12

-2.47 -2.47 2.00 8.00 0.07 0.07 -0.12 0.20

brt*f*so -br*f*so R-23.86 -23.86 -23.86 -23.86 23.9 23.9 23.9 23.9 4.097 4.102148.61 48.61 48.61 48.61 -48.6 -48.6 -48.6 -48.6 -8.35 -8.35645.00 45.00 45.00 45.00 -45.0 -45.0 -45.0 -45.0 -7.73 -7.73592.50 92.50 92.50 92.50 -92.5 -92.5 -92.5 -92.5 -15.9 -15.9

br*R S e(mm)15.6651 15.685 7.678 19.185 9.42 9.43 1.43 12.94 9.42 9.434912.7681 12.784 6.2581 15.637 6.52 6.53 0.01 9.39 6.518 6.534321.5664 21.594 10.57 26.412 2.82 2.84 -8.18 7.66 2.816 2.843615.6651 15.685 7.678 19.185 1.92 1.93 -6.07 5.44 1.915 1.9349-18.777 -18.8 -9.203 -23 -11.28 -11.30 -1.70 -15.50 -22.6 -22.6

P38
user:
Page 13: Flexibilidades (1).xlsx

-9.9785 -9.991 -4.891 -12.22 -2.48 -2.49 2.61 -4.72 -4.96 -4.982-11.229 -11.24 -5.504 -13.75 25.89 25.88 31.62 23.37 25.89 25.88-2.9088 -2.912 -1.426 -3.562 -2.91 -2.91 -1.43 -3.56 -5.82 -5.82515.3256 15.345 7.5116 18.769 6.49 6.51 -1.33 9.93 12.97 13.0123.00427 3.0081 1.4725 3.6793 3.00 3.01 1.47 3.68 6.009 6.01612.88303 2.8867 1.4131 3.5309 11.72 11.73 10.25 12.37 23.44 23.4515.90124 5.9087 2.8924 7.2273 -14.10 -14.09 -17.11 -12.77 -28.2 -28.18-11.229 -11.24 -5.504 -13.75 8.22 8.20 13.94 5.69 8.217 8.20264.09694 4.1021 2.008 5.0175 4.10 4.10 2.01 5.02 8.194 8.2042-8.3456 -8.356 -4.09 -10.22 -8.35 -8.36 -4.09 -10.22 -16.7 -16.71

Page 14: Flexibilidades (1).xlsx

Matriz de Flexibilidades13 14 15 bo transpuesta

0.00 0.00 0.00 0.75 0.75 0.25 0.25 -0.50 -0.50 0.35 0.00 -0.35 0.000.00 0.00 0.00 -0.75 -0.75 -0.25 -0.25 0.50 0.50 1.06 0.00 0.35 0.000.00 0.00 0.00 0.75 0.75 0.25 0.25 0.50 -0.50 0.35 0.00 -0.35 0.000.00 0.00 0.00 -0.50 -0.50 -0.50 -0.50 1.00 1.00 0.71 0.00 -0.71 1.000.00 0.00 0.00 0.75 0.75 0.25 0.25 0.50 0.50 0.35 0.00 -0.35 0.000.00 0.00 0.00 -0.25 -0.25 -0.75 -0.75 0.50 0.50 0.35 0.00 -0.35 0.000.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -0.75 -0.75 -0.25 -0.25 0.50 0.50 1.06 -1.00 0.35 0.000.00 0.00 0.00 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -0.50 -0.50 -0.50 -0.50 1.00 1.00 0.71 0.00 -0.71 0.000.00 0.00 0.00 1.00 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -0.25 -0.25 -0.75 -0.75 0.50 0.50 0.35 0.00 -0.35 0.001.00 0.00 0.000.00 2.00 0.000.00 0.00 2.00

br transpuesta0.00 1.00 0.000.00 0.00 1.000.00 0.00 0.00

0.707 0 0

brt*f0 2 00 0 20 0 0

0.707 0 0

R2.008 5.018-4.09 -10.2-3.79 -9.46-7.78 -19.4

e(mm) u1.428 12.94 36.8397532 36.904 11 48.2080.008 9.387 -0.2194636 -0.303 33.67 -15.16-8.18 7.662 14.2863839 14.303 7.64 17.216-6.07 5.435 -33.4647301 -33.62 30.76 -61.77-3.41 -31 9.32945052 9.3207 12.86 7.7744

Page 15: Flexibilidades (1).xlsx

5.218 -9.44 0.28499154 0.1734 45.39 -19.5931.62 23.37 9.41511975 9.4349 1.428 12.935-2.85 -7.12 5.59819149 5.5217 36.52 -8.031-2.65 19.86 15.9332653 15.969 1.436 22.3222.945 7.359 -39.4732691 -39.64 27.82 -69.13

20.5 24.74 18.7496288 18.813 -6.74 29.985-34.2 -25.5 28.4825041 28.356 79.61 5.951813.94 5.6944.016 10-8.18 -20.4

Page 16: Flexibilidades (1).xlsx

bo transpuesta0.35 0.00 -0.35 0.00 0.00

-0.35 0.00 0.35 0.00 0.000.35 0.00 -0.35 0.00 0.00

-0.71 0.00 0.71 0.00 0.000.35 0.00 -0.35 0.00 0.000.35 0.00 1.06 0.00 0.000.00 0.00 0.00 0.00 0.00

-0.35 0.00 0.35 0.00 0.000.00 0.00 0.00 0.00 0.00

-0.71 0.00 0.71 0.00 0.000.00 0.00 0.00 0.00 0.000.35 -1.00 1.06 0.00 0.00

Page 17: Flexibilidades (1).xlsx

Matriz PrimariaBarra Caso1 Caso2 Caso3 Caso4 Caso5 Caso6 Caso7

1 0.75 -0.75 0.75 -0.50 0.75 -0.25 1.002 0.75 -0.75 0.75 -0.50 0.75 -0.25 0.003 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.004 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.005 -0.50 0.50 0.50 1.00 0.50 0.50 0.006 -0.50 0.50 -0.50 1.00 0.50 0.50 0.007 0.35 1.06 0.35 0.71 0.35 0.35 0.008 0.00 0.00 0.00 0.00 0.00 0.00 0.009 -0.35 0.35 -0.35 -0.71 -0.35 -0.35 0.00

10 0.00 0.00 0.00 1.00 0.00 0.00 0.0011 0.35 -0.35 0.35 -0.71 0.35 0.35 0.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.0013 -0.35 0.35 -0.35 0.71 -0.35 1.06 0.0014 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Matriz de RedundantesBarra Caso1 Caso2 Caso3 Caso4 Fuerzas

1 0.00 0.00 -1.00 -0.50 Nodo F2 -0.71 0.00 -1.00 -0.50 1x 25.003 0.00 -0.71 -1.00 -0.50 1y 20.004 0.00 0.00 -1.00 -0.50 2x 0.005 -0.71 0.00 0.00 1.00 2y 0.006 0.00 -0.71 0.00 1.00 3x 0.007 0.00 0.00 0.00 0.71 3y 0.008 -0.71 0.00 0.00 0.00 4x 0.009 1.00 0.00 0.00 -0.71 4y 0.00

10 -0.71 -0.71 0.00 0.00 6x -5.0011 0.00 1.00 0.00 -0.71 6y 20.0012 0.00 -0.71 0.00 0.0013 0.00 0.00 0.00 0.7114 1.00 0.00 0.00 0.0015 0.00 1.00 0.00 0.00

Page 18: Flexibilidades (1).xlsx

Matriz Primaria Matriz de FlexibilidadesCaso8 Caso11 Caso12 Barra 1 2 3

-0.75 1.00 -0.25 1 1.00 0.00 0.00-0.75 1.00 -0.25 2 0.00 1.00 0.00-0.25 1.00 -0.75 3 0.00 0.00 1.00-0.25 0.00 -0.75 4 0.00 0.00 0.000.50 0.00 0.50 5 0.00 0.00 0.000.50 0.00 0.50 6 0.00 0.00 0.001.06 0.00 0.35 7 0.00 0.00 0.00

-1.00 0.00 0.00 8 0.00 0.00 0.000.35 0.00 -0.35 9 0.00 0.00 0.000.00 0.00 0.00 10 0.00 0.00 0.00

-0.35 0.00 0.35 11 0.00 0.00 0.000.00 0.00 -1.00 12 0.00 0.00 0.000.35 0.00 1.06 13 0.00 0.00 0.000.00 0.00 0.00 14 0.00 0.00 0.000.00 0.00 0.00 15 0.00 0.00 0.00

So(Tn) br transpuesta-6.25 -6.25 -6.25 -6.25 0 -0.70710678-6.25 -6.25 -6.25 -6.25 0 0

-18.75 -18.75 -18.75 -18.75 -1 -1-13.75 -13.75 -13.75 -13.75 -0.5 -0.5

7.5 7.5 7.5 7.57.5 7.5 7.5 7.5 brt*f

37.123106 37.123106 37.123106 37.123106 0 -0.707106780 0 0 0 0 0

-8.83883476 -8.83883476 -8.83883476 -8.83883476 -1 -10 0 0 0 -0.5 -0.5

8.83883476 8.83883476 8.83883476 8.83883476-20 -20 -20 -20 brt*f*br

19.4454365 19.4454365 19.4454365 19.4454365 7.5082 10 0 0 0 1 7.50 0 0 0 0.70710678 0.70710678

-2.47487373 -2.47487373

brt*f*so-23.8648539 -23.864853948.6135912 48.6135912

45 4592.5 92.5

Page 19: Flexibilidades (1).xlsx

Matriz de Flexibilidades4 5 6 7 8 9 10 11

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 2.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 2.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 1.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 2.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 2.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 2.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 2.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

br transpuesta0 0 -0.70710678 0 0 -0.71 1 -0.70710678

-0.70710678 0 0 -0.70710678 0 0 0 -0.70710678-1 -1 0 0 0 0 0 0

-0.5 -0.5 1 1 0.70710678 0 -0.70710678 0

brt*f0 0 -1.41421356 0 0 -1.42 2 -1.41421356

-0.70710678 0 0 -1.41421356 0 0 0 -1.41421356-1 -1 0 0 0 0 0 0

-0.5 -0.5 2 2 0.70710678 0 -1.41421356 0

brt*f*br0.70710678 -2.47487373 0.16 0.01 -0.06 0.070.70710678 -2.47487373 0.01 0.16 -0.06 0.07

4 2 -0.06 -0.06 0.33 -0.122 8 0.07 0.07 -0.12 0.20

brt*f*so -br*f*so-23.8648539 -23.8648539 23.8648539 23.8648539 23.8648539 23.864853948.6135912 48.6135912 -48.6135912 -48.6135912 -48.6135912 -48.6135912

45 45 -45 -45 -45 -4592.5 92.5 -92.5 -92.5 -92.5 -92.5

Page 20: Flexibilidades (1).xlsx

Matriz de Flexibilidades12 13 14 15

0.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.002.00 0.00 0.00 0.000.00 1.00 0.00 0.000.00 0.00 2.00 0.000.00 0.00 0.00 2.00

br transpuesta0 0 0 1 01 -0.70710678 0 0 10 0 0 0 0

-0.70710678 0 0.70710678 0 0

brt*f0 0 0 2 02 -1.41421356 0 0 20 0 0 0 0

-1.41421356 0 0.70710678 0 0

R4.0969402 4.10210865 2.00803848 5.01754844

-8.34561893 -8.35614725 -4.09044876 -10.220932-7.72526453 -7.73501025 -3.78639367 -9.46118008-15.8797104 -15.8997433 -7.78314255 -19.4479813

Page 21: Flexibilidades (1).xlsx

boBarra Caso1 Caso2 Caso3 Caso4 Caso5 Caso6 Caso7 Caso8 Caso9

1 0.75 -0.75 0.75 -0.50 0.75 -0.25 1.00 -0.75 1.002 0.75 -0.75 0.75 -0.50 0.75 -0.25 0.00 -0.75 1.003 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.00 -0.25 0.004 0.25 -0.25 0.25 -0.50 0.25 -0.75 0.00 -0.25 0.005 -0.50 0.50 0.50 1.00 0.50 0.50 0.00 0.50 0.006 -0.50 0.50 -0.50 1.00 0.50 0.50 0.00 0.50 0.007 0.35 1.06 0.35 0.71 0.35 0.35 0.00 1.06 0.008 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1.00 0.009 -0.35 0.35 -0.35 -0.71 -0.35 -0.35 0.00 0.35 0.00

10 0.00 0.00 0.00 1.00 0.00 0.00 0.00 0.00 0.0011 0.35 -0.35 0.35 -0.71 0.35 0.35 0.00 -0.35 0.0012 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0013 -0.35 0.35 -0.35 0.71 -0.35 1.06 0.00 0.35 0.0014 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

br Matriz de Redundantes Fuerzas So=bo*fuerzas(Tn)Barra Caso1 Caso2 Caso3 Caso4 Nodo F -6.25

1 0.00 0.00 -1.00 -0.50 1x 25.00 -6.252 -0.71 0.00 -1.00 -0.50 1y 20.00 -18.753 0.00 -0.71 -1.00 -0.50 2x 0.00 -13.754 0.00 0.00 -1.00 -0.50 2y 0.00 7.505 -0.71 0.00 0.00 1.00 3x 0.00 7.506 0.00 -0.71 0.00 1.00 3y 0.00 37.127 0.00 0.00 0.00 0.71 4x 0.00 0.008 -0.71 0.00 0.00 0.00 4y 0.00 -8.849 1.00 0.00 0.00 -0.71 5x 0.00 0.00

10 -0.71 -0.71 0.00 0.00 6x -5.00 8.8411 0.00 1.00 0.00 -0.71 6y 20.00 -20.0012 0.00 -0.71 0.00 0.00 19.4513 0.00 0.00 0.00 0.71 0.0014 1.00 0.00 0.00 0.00 0.0015 0.00 1.00 0.00 0.00

Page 22: Flexibilidades (1).xlsx

bo Matriz de FlexibilidadesCaso10 Caso11 Barra 1 2 3 4 5 6

1.00 -0.25 1 1.00 0.00 0.00 0.00 0.00 0.001.00 -0.25 2 0.00 1.00 0.00 0.00 0.00 0.001.00 -0.75 3 0.00 0.00 1.00 0.00 0.00 0.000.00 -0.75 4 0.00 0.00 0.00 1.00 0.00 0.000.00 0.50 5 0.00 0.00 0.00 0.00 2.00 0.000.00 0.50 6 0.00 0.00 0.00 0.00 0.00 2.000.00 0.35 7 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 8 0.00 0.00 0.00 0.00 0.00 0.000.00 -0.35 9 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 10 0.00 0.00 0.00 0.00 0.00 0.000.00 0.35 11 0.00 0.00 0.00 0.00 0.00 0.000.00 -1.00 12 0.00 0.00 0.00 0.00 0.00 0.000.00 1.06 13 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 14 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 15 0.00 0.00 0.00 0.00 0.00 0.00

So=bo*fuerzas(Tn) brt transpuesta-6.25 -6.25 -6.25 0.00 -0.71 0.00 0.00 -0.71 0.00-6.25 -6.25 -6.25 0.00 0.00 -0.71 0.00 0.00 -0.71

-18.75 -18.75 -18.75 -1.00 -1.00 -1.00 -1.00 0.00 0.00-13.75 -13.75 -13.75 -0.50 -0.50 -0.50 -0.50 1.00 1.00

7.50 7.50 7.507.50 7.50 7.50 brt*f

37.12 37.12 37.12 0.00 -0.71 0.00 0.00 -1.41 0.000.00 0.00 0.00 0.00 0.00 -0.71 0.00 0.00 -1.41

-8.84 -8.84 -8.84 -1.00 -1.00 -1.00 -1.00 0.00 0.000.00 0.00 0.00 -0.50 -0.50 -0.50 -0.50 2.00 2.008.84 8.84 8.84

-20.00 -20.00 -20.00 brt*f*br inversa(brt*f*br)19.45 19.45 19.45 7.51 1.00 0.71 -2.47 0.161

0.00 0.00 0.00 1.00 7.50 0.71 -2.47 0.0070.00 0.00 0.00 0.71 0.71 4.00 2.00 -0.063

-2.47 -2.47 2.00 8.00 0.068

brt*f*so -br*f*so-23.86 -23.86 -23.86 -23.86 23.8648.61 48.61 48.61 48.61 -48.6145.00 45.00 45.00 45.00 -45.0092.50 92.50 92.50 92.50 -92.50

br*R S=[So]+br*R9.31 9.31 9.31 9.31 3.069.25 9.25 9.25 9.25 3.00

17.13 17.13 17.13 17.13 -1.629.31 9.31 9.31 9.31 -4.44

-14.50 -14.50 -14.50 -14.50 -7.00

Page 23: Flexibilidades (1).xlsx

-6.61 -6.61 -6.61 -6.61 0.89-10.20 -10.20 -10.20 -10.20 26.92

-0.07 -0.07 -0.07 -0.07 -0.0710.30 10.30 10.30 10.30 1.46

7.75 7.75 7.75 7.75 7.75-0.85 -0.85 -0.85 -0.85 7.987.82 7.82 7.82 7.82 -12.18

-10.20 -10.20 -10.20 -10.20 9.240.09 0.09 0.09 0.09 0.09

-11.06 -11.06 -11.06 -11.06 -11.06

Page 24: Flexibilidades (1).xlsx

Matriz de Flexibilidades7 8 9 10 11 12 13 14 15

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 2.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 2.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 2.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 2.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 2.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 1.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.00

brt transpuesta0.00 -0.71 1.00 -0.71 0.00 0.00 0.00 1.00 0.000.00 0.00 0.00 -0.71 1.00 -0.71 0.00 0.00 1.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.71 0.00 -0.71 0.00 -0.71 0.00 0.71 0.00 0.00

brt*f0.00 -1.42 2.00 -1.41 0.00 0.00 0.00 2.00 0.000.00 0.00 0.00 -1.41 2.00 -1.41 0.00 0.00 2.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.71 0.00 -1.41 0.00 -1.41 0.00 0.71 0.00 0.00

inversa(brt*f*br)0.007 -0.063 0.0680.161 -0.064 0.068

-0.064 0.334 -0.1230.068 -0.123 0.198

-br*f*so R= inversa(brt*f*br)*-br*f*so23.86 23.86 23.86 0.09 0.09 0.09 0.09

-48.61 -48.61 -48.61 -11.06 -11.06 -11.06 -11.06-45.00 -45.00 -45.00 -2.10 -2.10 -2.10 -2.10-92.50 -92.50 -92.50 -14.43 -14.43 -14.43 -14.43

S=[So]+br*R e=[f]*{s}(mm) [brt]*{e}=Ur3.06 3.06 3.06 3.06 3.06 3.06 3.06 0.003.00 3.00 3.00 3.00 3.00 3.00 3.00 0.00

-1.62 -1.62 -1.62 -1.62 -1.62 -1.62 -1.62 0.00-4.44 -4.44 -4.44 -4.44 -4.44 -4.44 -4.44 0.00-7.00 -7.00 -7.00 -13.99 -13.99 -13.99 -13.99

Page 25: Flexibilidades (1).xlsx

0.89 0.89 0.89 1.78 1.78 1.78 1.7826.92 26.92 26.92 26.92 26.92 26.92 26.92-0.07 -0.07 -0.07 -0.13 -0.13 -0.13 -0.131.46 1.46 1.46 2.91 2.91 2.91 2.917.75 7.75 7.75 15.51 15.51 15.51 15.517.98 7.98 7.98 15.97 15.97 15.97 15.97

-12.18 -12.18 -12.18 -24.36 -24.36 -24.36 -24.369.24 9.24 9.24 9.24 9.24 9.24 9.240.09 0.09 0.09 0.18 0.18 0.18 0.18

-11.06 -11.06 -11.06 -22.12 -22.12 -22.12 -22.12

Page 26: Flexibilidades (1).xlsx

bo transpuesta0.75 0.75 0.25 0.25 -0.50 -0.50 0.35 0.00 -0.35 0.00 0.35

-0.75 -0.75 -0.25 -0.25 0.50 0.50 1.06 0.00 0.35 0.00 -0.350.75 0.75 0.25 0.25 0.50 -0.50 0.35 0.00 -0.35 0.00 0.35

-0.50 -0.50 -0.50 -0.50 1.00 1.00 0.71 0.00 -0.71 1.00 -0.710.75 0.75 0.25 0.25 0.50 0.50 0.35 0.00 -0.35 0.00 0.35

-0.25 -0.25 -0.75 -0.75 0.50 0.50 0.35 0.00 -0.35 0.00 0.351.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-0.75 -0.75 -0.25 -0.25 0.50 0.50 1.06 -1.00 0.35 0.00 -0.351.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.001.00 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-0.25 -0.25 -0.75 -0.75 0.50 0.50 0.35 0.00 -0.35 0.00 0.35

[brt]*{e}=Ur u=[bot]*{e}(mm)0.00 0.00 0.00 20.00 20.00 20.00 20.000.00 0.00 0.00 18.07 18.07 18.07 18.070.00 0.00 0.00 6.01 6.01 6.01 6.010.00 0.00 0.00 15.51 15.51 15.51 15.51

7.79 7.79 7.79 7.79

Page 27: Flexibilidades (1).xlsx

20.86 20.86 20.86 20.863.06 3.06 3.06 3.06

18.20 18.20 18.20 18.206.06 6.06 6.06 6.064.44 4.44 4.44 4.44

45.22 45.22 45.22 45.22

Page 28: Flexibilidades (1).xlsx

bo transpuesta0.00 -0.35 0.00 0.000.00 0.35 0.00 0.000.00 -0.35 0.00 0.000.00 0.71 0.00 0.000.00 -0.35 0.00 0.000.00 1.06 0.00 0.000.00 0.00 0.00 0.000.00 0.35 0.00 0.000.00 0.00 0.00 0.000.00 0.00 0.00 0.00

-1.00 1.06 0.00 0.00