3d portico

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ELEMENTO b (m) h (m) Longitud (m) Columna 0.300 0.500 4.000 Viga (L=5m) 0.300 0.400 5.000 Viga (L=4m) 0.300 0.400 4.000 Ec 2188198 tn/m2 V 0.15 fx 1.5 fy 1.5 ELEMENTO AE/L GJ/L Columna 82057.425 667.398 1216.567 Viga (L=5m) 52516.752 362.668 328.846 Viga (L=4m) 65645.940 453.335 634.567 12EIx/(1+ay)L 3

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Page 1: 3d Portico

DATOS DE PROBLEMA :*

ELEMENTO b (m) h (m) Longitud (m)Columna 0.300 0.500 4.000Viga (L=5m) 0.300 0.400 5.000Viga (L=4m) 0.300 0.400 4.000Ec 2188198 tn/m2V 0.15fx 1.5fy 1.5

ELEMENTO AE/L GJ/LColumna 82057.425 667.398 1216.567Viga (L=5m) 52516.752 362.668 328.846Viga (L=4m) 65645.940 453.335 634.567

MATRICES DE RIGIDEZ LOCALES :3

12EIx/(1+ay)L3

Page 2: 3d Portico

ELEMENTO AE/L GJ/LColumna 82057.425 667.398 1216.567

82057.43 0.000.00 1216.570.00 0.000.00 0.000.00 0.00

Klocal (Columna)0.00 2433.13

-82057.43 0.000.00 -1216.570.00 0.000.00 0.000.00 0.000.00 2433.13

ELEMENTO AE/L GJ/LViga (L=5m) 52516.752 362.668 328.846

52516.75 0.000.00 328.850.00 0.000.00 0.000.00 0.00

Klocal (Viga 5m)0.00 822.12

-52516.75 0.000.00 -328.850.00 0.000.00 0.000.00 0.000.00 822.12

ELEMENTO AE/L GJ/LViga (L=4m) 65645.94 453.3354794265 634.5668438859

65645.94 0.000.00 634.570.00 0.000.00 0.000.00 0.00

Klocal (Viga 4m)0.00 1269.13

-65645.94 0.00

12EIx/(1+ay)L3

12EIx/(1+ay)L3

12EIx/(1+ay)L3

Page 3: 3d Portico

0.00 -634.570.00 0.000.00 0.000.00 0.000.00 1269.13

Page 4: 3d Portico

DATOS DE PROBLEMA :*

Area (m2) G (tn/m2) J Ix0.150 951390.43 0.002806 0.0031250.120 951390.43 0.001906 0.0016000.120 951390.43 0.001906 0.001600

(4+ax)EIy/(1+ax)L452.786 2433.133 905.572 2426.575186.741 822.116 466.852 1561.007362.229 1269.134 724.458 1941.260

MATRICES DE RIGIDEZ LOCALES :3

12EIy/(1+ax)L3 6EIx/(1+ay)L2 6EIy/(1+ax)L2

Page 5: 3d Portico

(4+ax)EIy/(1+ax)L452.786 2433.133 905.572 2426.575

0.00 0.00 0.00 0.000.00 0.00 0.00 2433.13

452.79 0.00 -905.57 0.000.00 667.40 0.00 0.00

-905.57 0.00 2426.58 0.000.00 0.00 0.00 6575.800.00 0.00 0.00 0.000.00 0.00 0.00 -2433.13

-452.79 0.00 905.57 0.000.00 -667.40 0.00 0.00

-905.57 0.00 1195.71 0.000.00 0.00 0.00 3156.74

(4+ax)EIy/(1+ax)L186.741 822.116 466.852 1561.007

0.00 0.00 0.00 0.000.00 0.00 0.00 822.12

186.74 0.00 -466.85 0.000.00 362.67 0.00 0.00

-466.85 0.00 1561.01 0.000.00 0.00 0.00 2755.510.00 0.00 0.00 0.000.00 0.00 0.00 -822.12

-186.74 0.00 466.85 0.000.00 -362.67 0.00 0.00

-466.85 0.00 773.26 0.000.00 0.00 0.00 1355.07

(4+ax)EIy/(1+ax)L362.2289077588 1269.1336877719 724.4578155176 1941.2601810352

0.00 0.00 0.00 0.000.00 0.00 0.00 1269.13

362.23 0.00 -724.46 0.000.00 453.34 0.00 0.00

-724.46 0.00 1941.26 0.000.00 0.00 0.00 3413.550.00 0.00 0.00 0.00

12EIy/(1+ax)L3 6EIx/(1+ay)L2 6EIy/(1+ax)L2

12EIy/(1+ax)L3 6EIx/(1+ay)L2 6EIy/(1+ax)L2

12EIy/(1+ax)L3 6EIx/(1+ay)L2 6EIy/(1+ax)L2

Page 6: 3d Portico

0.00 0.00 0.00 -1269.13-362.23 0.00 724.46 0.00

0.00 -453.34 0.00 0.00-724.46 0.00 956.57 0.00

0.00 0.00 0.00 1662.99

Page 7: 3d Portico

DATOS DE PROBLEMA :*

Iy A'x A'y ax0.001125 0.100000 0.100000 0.0194060.000900 0.080000 0.080000 0.0124200.000900 0.080000 0.080000 0.019406

(4+ay)EIx/(1+ay)L (2-ax)EIy/(1+ax)L (2-ay)EIx/(1+ay)L6575.797 1195.714 3156.7372755.513 773.256 1355.0663413.547 956.571 1662.988

MATRICES DE RIGIDEZ LOCALES :3

Page 8: 3d Portico

(4+ay)EIx/(1+ay)L (2-ax)EIy/(1+ax)L (2-ay)EIx/(1+ay)L6575.797 1195.714 3156.737

-82057.43 0.00 0.00 0.000.00 -1216.57 0.00 0.000.00 0.00 -452.79 0.000.00 0.00 0.00 -667.400.00 0.00 905.57 0.000.00 -2433.13 0.00 0.00

82057.43 0.00 0.00 0.000.00 1216.57 0.00 0.000.00 0.00 452.79 0.000.00 0.00 0.00 667.400.00 0.00 905.57 0.000.00 -2433.13 0.00 0.00

(4+ay)EIx/(1+ay)L (2-ax)EIy/(1+ax)L (2-ay)EIx/(1+ay)L2755.513 773.256 1355.066

-52516.75 0.00 0.00 0.000.00 -328.85 0.00 0.000.00 0.00 -186.74 0.000.00 0.00 0.00 -362.670.00 0.00 466.85 0.000.00 -822.12 0.00 0.00

52516.75 0.00 0.00 0.000.00 328.85 0.00 0.000.00 0.00 186.74 0.000.00 0.00 0.00 362.670.00 0.00 466.85 0.000.00 -822.12 0.00 0.00

(4+ay)EIx/(1+ay)L (2-ax)EIy/(1+ax)L (2-ay)EIx/(1+ay)L3413.5465755438 956.5710810352 1662.9881755438

-65645.94 0.00 0.00 0.000.00 -634.57 0.00 0.000.00 0.00 -362.23 0.000.00 0.00 0.00 -453.340.00 0.00 724.46 0.000.00 -1269.13 0.00 0.00

65645.94 0.00 0.00 0.00

Page 9: 3d Portico

0.00 634.57 0.00 0.000.00 0.00 362.23 0.000.00 0.00 0.00 453.340.00 0.00 724.46 0.000.00 -1269.13 0.00 0.00

Page 10: 3d Portico

DATOS DE PROBLEMA :*

ay0.0539060.0220800.034500

MATRICES DE RIGIDEZ LOCALES :3

Page 11: 3d Portico

0.00 0.000.00 2433.13

-905.57 0.000.00 0.00

1195.71 0.000.00 3156.740.00 0.000.00 -2433.13

905.57 0.000.00 0.00

2426.58 0.000.00 6575.80

0.00 0.000.00 822.12

-466.85 0.000.00 0.00

773.26 0.000.00 1355.070.00 0.000.00 -822.12

466.85 0.000.00 0.00

1561.01 0.000.00 2755.51

0.00 0.000.00 1269.13

-724.46 0.000.00 0.00

956.57 0.000.00 1662.990.00 0.00

Page 12: 3d Portico

0.00 -1269.13724.46 0.00

0.00 0.001941.26 0.00

0.00 3413.55

Page 13: 3d Portico

DATOS DE PROBLEMA :*

ELEMENTO b (m) h (m) Longitud (m) Area (m2)Columna 0.300 0.500 4.000 0.150Viga (L=5m) 0.300 0.400 5.000 0.120Viga (L=4m) 0.300 0.400 4.000 0.120Ec 2188198 tn/m2V 0.15fx 1.5fy 1.5

ELEMENTO AE/L GJ/LColumna 82057.43 667.40 1216.57 452.79Viga (L=5m) 52516.75 362.67 328.85 186.74Viga (L=4m) 65645.94 453.34 634.57 362.23

MATRICES DE RIGIDEZ LOCALES :3

12EIx/(1+ay)L3 12EIy/(1+ax)L3

Page 14: 3d Portico

ELEMENTO AE/L GJ/LColumna 82057.425 667.398 1216.567 452.786

82057.43 0.00 0.000.00 1216.57 0.000.00 0.00 452.790.00 0.00 0.000.00 0.00 -905.57

Klocal (Columna)0.00 2433.13 0.00

-82057.43 0.00 0.000.00 -1216.57 0.000.00 0.00 -452.790.00 0.00 0.000.00 0.00 -905.570.00 2433.13 0.00

ELEMENTO AE/L GJ/LViga (L=5m) 52516.752 362.668 328.846 186.741

52516.75 0.00 0.000.00 328.85 0.000.00 0.00 186.740.00 0.00 0.000.00 0.00 -466.85

Klocal (Viga 5m)0.00 822.12 0.00

-52516.75 0.00 0.000.00 -328.85 0.000.00 0.00 -186.740.00 0.00 0.000.00 0.00 -466.850.00 822.12 0.00

ELEMENTO AE/L GJ/LViga (L=4m) 65645.94 453.3354794265 634.5668438859 362.228907759

65645.94 0.00 0.000.00 634.57 0.000.00 0.00 362.230.00 0.00 0.000.00 0.00 -724.46

Klocal (Viga 4m)0.00 1269.13 0.00

-65645.94 0.00 0.00

12EIx/(1+ay)L3 12EIy/(1+ax)L3

12EIx/(1+ay)L3 12EIy/(1+ax)L3

12EIx/(1+ay)L3 12EIy/(1+ax)L3

Page 15: 3d Portico

0.00 -634.57 0.000.00 0.00 -362.230.00 0.00 0.000.00 0.00 -724.460.00 1269.13 0.00

MATRICES TRANSFORMERS :V

Elemento a b c dColumna 90 0 90 180

Viga (L=5m) 0 90 90 90Viga (L=4m) 90 90 0 90

Elemento cos a cos b cos c cos dColumna 0.00 1.00 0.00 -1.00

Viga (L=5m) 1.00 0.00 0.00 0.00Viga (L=4m) 0.00 0.00 1.00 0.00

Elemento cos a cos b cos c cos dColumna 0.00 1.00 0.00 -1.00

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

TG (COLUMNA)0 0 00 0 00 0 0

Page 16: 3d Portico

0 0 00 0 00 0 00 0 0

Elemento cos a cos b cos c cos dViga (L=5m) 1.00 0.00 0.00 0.00

1 0 00 1 00 0 10 0 00 0 0

TG (VIGA L=5m)0 0 00 0 00 0 00 0 00 0 00 0 00 0 0

Elemento cos a cos b cos c cos dViga (L=4m) 0.00 0.00 1.00 0.00

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

TG (VIGA L=4m)0 0 00 0 00 0 00 0 00 0 00 0 00 0 0

MATRICES DE RIGIDEZ GLOBAL o.O

Page 17: 3d Portico

Elemento 8 43g 44g 45gElemento 7 37g 38g 39gElemento 6 31g 32g 33gElemento 5 25g 26g 27g

1216.57 0.00 0.000.00 82057.43 0.000.00 0.00 452.790.00 0.00 905.570.00 0.00 0.00

KG (COLUMNA)-2433.13 0.00 0.00-1216.57 0.00 0.00

0.00 -82057.43 0.000.00 0.00 -452.790.00 0.00 905.570.00 0.00 0.00

-2433.13 0.00 0.00

Elemento 3 13g 14g 15gElemento 1 1g 2g 3g

52516.75 0.00 0.000.00 328.85 0.000.00 0.00 186.740.00 0.00 0.000.00 0.00 -466.85

KG (VIGA L=5m)0.00 822.12 0.00

-52516.75 0.00 0.000.00 -328.85 0.000.00 0.00 -186.740.00 0.00 0.000.00 0.00 -466.850.00 822.12 0.00

Elemento 4 13g 14g 15gElemento 2 19g 20g 21g

362.23 0.00 0.000.00 634.57 0.000.00 0.00 65645.940.00 -1269.13 0.00

Page 18: 3d Portico

724.46 0.00 0.00

KG (VIGA L=4m)0.00 0.00 0.00

-362.23 0.00 0.000.00 -634.57 0.000.00 0.00 -65645.940.00 -1269.13 0.00

724.46 0.00 0.000.00 0.00 0.00

OPERACIONES T_T

1 2 3 41216.567 0.000 0.000 0.000

0.000 82057.425 0.000 0.0000.000 0.000 452.786 -905.5720.000 0.000 -905.572 2426.5750.000 0.000 0.000 0.000

2433.133 0.000 0.000 0.000

52516.752 0.000 0.000 0.0000.000 328.846 0.000 0.0000.000 0.000 186.741 0.0000.000 0.000 0.000 362.6680.000 0.000 -466.852 0.0000.000 822.116 0.000 0.000

362.229 0.000 0.000 0.0000.000 634.567 0.000 1269.1340.000 0.000 65645.940 0.0000.000 1269.134 0.000 3413.547

-724.458 0.000 0.000 0.0000.000 0.000 0.000 0.000

7 8 9 101216.567 0.000 0.000 0.000

0.000 82057.425 0.000 0.0000.000 0.000 452.786 -905.5720.000 0.000 -905.572 2426.5750.000 0.000 0.000 0.000

2433.133 0.000 0.000 0.000

Page 19: 3d Portico

52516.752 0.000 0.000 0.0000.000 328.846 0.000 0.0000.000 0.000 186.741 0.0000.000 0.000 0.000 362.6680.000 0.000 466.852 0.0000.000 -822.116 0.000 0.000

362.229 0.000 0.000 0.0000.000 634.567 0.000 1269.1340.000 0.000 65645.940 0.0000.000 1269.134 0.000 3413.547

-724.458 0.000 0.000 0.0000.000 0.000 0.000 0.000

13 14 15 161216.567 0.000 0.000 0.000

0.000 82057.425 0.000 0.0000.000 0.000 452.786 -905.5720.000 0.000 -905.572 2426.5750.000 0.000 0.000 0.000

2433.133 0.000 0.000 0.000

52516.752 0.000 0.000 0.0000.000 328.846 0.000 0.0000.000 0.000 186.741 0.0000.000 0.000 0.000 362.6680.000 0.000 -466.852 0.0000.000 822.116 0.000 0.000

362.229 0.000 0.000 0.0000.000 634.567 0.000 -1269.1340.000 0.000 65645.940 0.0000.000 -1269.134 0.000 3413.547

724.458 0.000 0.000 0.0000.000 0.000 0.000 0.000

19 20 21 221216.567 0.000 0.000 0.000

0.000 82057.425 0.000 0.0000.000 0.000 452.786 -905.5720.000 0.000 -905.572 2426.5750.000 0.000 0.000 0.000

2433.133 0.000 0.000 0.000

Page 20: 3d Portico

52516.752 0.000 0.000 0.0000.000 328.846 0.000 0.0000.000 0.000 186.741 0.0000.000 0.000 0.000 362.6680.000 0.000 466.852 0.0000.000 -822.116 0.000 0.000

362.229 0.000 0.000 0.0000.000 634.567 0.000 -1269.1340.000 0.000 65645.940 0.0000.000 -1269.134 0.000 3413.547

724.458 0.000 0.000 0.0000.000 0.000 0.000 0.000

Page 21: 3d Portico

DATOS DE PROBLEMA :*

G (tn/m2) J Ix Iy951390.43 0.002806 0.003125 0.001125951390.43 0.001906 0.001600 0.000900951390.43 0.001906 0.001600 0.000900

(4+ax)EIy/(1+ax)L(4+ay)EIx/(1+ay)L2433.13 905.57 2426.58 6575.80822.12 466.85 1561.01 2755.511269.13 724.46 1941.26 3413.55

MATRICES DE RIGIDEZ LOCALES :3

6EIx/(1+ay)L2 6EIy/(1+ax)L2

Page 22: 3d Portico

(4+ax)EIy/(1+ax)L(4+ay)EIx/(1+ay)L2433.133 905.572 2426.575 6575.797

0.00 0.00 0.00 -82057.430.00 0.00 2433.13 0.000.00 -905.57 0.00 0.00

667.40 0.00 0.00 0.000.00 2426.58 0.00 0.000.00 0.00 6575.80 0.000.00 0.00 0.00 82057.430.00 0.00 -2433.13 0.000.00 905.57 0.00 0.00

-667.40 0.00 0.00 0.000.00 1195.71 0.00 0.000.00 0.00 3156.74 0.00

(4+ax)EIy/(1+ax)L(4+ay)EIx/(1+ay)L822.116 466.852 1561.007 2755.513

0.00 0.00 0.00 -52516.750.00 0.00 822.12 0.000.00 -466.85 0.00 0.00

362.67 0.00 0.00 0.000.00 1561.01 0.00 0.000.00 0.00 2755.51 0.000.00 0.00 0.00 52516.750.00 0.00 -822.12 0.000.00 466.85 0.00 0.00

-362.67 0.00 0.00 0.000.00 773.26 0.00 0.000.00 0.00 1355.07 0.00

(4+ax)EIy/(1+ax)L(4+ay)EIx/(1+ay)L1269.13368777 724.457815518 1941.260181035 3413.5465755438

0.00 0.00 0.00 -65645.940.00 0.00 1269.13 0.000.00 -724.46 0.00 0.00

453.34 0.00 0.00 0.000.00 1941.26 0.00 0.000.00 0.00 3413.55 0.000.00 0.00 0.00 65645.94

6EIx/(1+ay)L2 6EIy/(1+ax)L2

6EIx/(1+ay)L2 6EIy/(1+ax)L2

6EIx/(1+ay)L2 6EIy/(1+ax)L2

Page 23: 3d Portico

0.00 0.00 -1269.13 0.000.00 724.46 0.00 0.00

-453.34 0.00 0.00 0.000.00 956.57 0.00 0.000.00 0.00 1662.99 0.00

MATRICES TRANSFORMERS :V

e f g h90 90 90 900 90 90 900 90 180 90

cos e cos f cos g cos h0.00 0.00 0.00 0.001.00 0.00 0.00 0.001.00 0.00 -1.00 0.00

cos e cos f cos g cos h0.00 0.00 0.00 0.00

0 0 0 00 0 0 00 0 0 00 1 0 0-1 0 0 00 0 1 00 0 0 00 0 0 -1

Page 24: 3d Portico

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

cos e cos f cos g cos h1.00 0.00 0.00 0.00

0 0 0 00 0 0 00 0 0 01 0 0 00 1 0 00 0 1 00 0 0 10 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0

cos e cos f cos g cos h1.00 0.00 -1.00 0.00

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

MATRICES DE RIGIDEZ GLOBAL o.O

Page 25: 3d Portico

46g 47g 48g 19g40g 41g 42g 13g34g 35g 36g 7g28g 29g 30g 1g0.00 0.00 -2433.13 -1216.570.00 0.00 0.00 0.00

905.57 0.00 0.00 0.002426.58 0.00 0.00 0.00

0.00 667.40 0.00 0.000.00 0.00 6575.80 2433.130.00 0.00 2433.13 1216.570.00 0.00 0.00 0.00

-905.57 0.00 0.00 0.001195.71 0.00 0.00 0.00

0.00 -667.40 0.00 0.000.00 0.00 3156.74 2433.13

16g 17g 18g 19g4g 5g 6g 7g

0.00 0.00 0.00 -52516.750.00 0.00 822.12 0.000.00 -466.85 0.00 0.00

362.67 0.00 0.00 0.000.00 1561.01 0.00 0.000.00 0.00 2755.51 0.000.00 0.00 0.00 52516.750.00 0.00 -822.12 0.000.00 466.85 0.00 0.00

-362.67 0.00 0.00 0.000.00 773.26 0.00 0.000.00 0.00 1355.07 0.00

16g 17g 18g 1g22g 23g 24g 7g0.00 724.46 0.00 -362.23

-1269.13 0.00 0.00 0.000.00 0.00 0.00 0.00

3413.55 0.00 0.00 0.00

Page 26: 3d Portico

0.00 1941.26 0.00 -724.460.00 0.00 453.34 0.000.00 -724.46 0.00 362.23

1269.13 0.00 0.00 0.000.00 0.00 0.00 0.00

1662.99 0.00 0.00 0.000.00 956.57 0.00 -724.460.00 0.00 -453.34 0.00

OPERACIONES T_T

5 6 10.000 2433.133 54095.5480.000 0.000 0.0000.000 0.000 0.0000.000 0.000 0.000

667.398 0.000 -724.4580.000 6575.797 2433.133

0.000 0.0000.000 822.116

-466.852 0.0000.000 0.000

1561.007 0.0000.000 2755.513

-724.458 0.0000.000 0.0000.000 0.0000.000 0.000

1941.260 0.0000.000 453.335

11 12 70.000 2433.133 54095.5480.000 0.000 0.0000.000 0.000 0.0000.000 0.000 0.000

667.398 0.000 -724.4580.000 6575.797 2433.133

Page 27: 3d Portico

0.000 0.0000.000 -822.116

466.852 0.0000.000 0.000

1561.007 0.0000.000 2755.513

-724.458 0.0000.000 0.0000.000 0.0000.000 0.000

1941.260 0.0000.000 453.335

17 18 130.000 2433.133 54095.5480.000 0.000 0.0000.000 0.000 0.0000.000 0.000 0.000

667.398 0.000 724.4580.000 6575.797 2433.133

0.000 0.0000.000 822.116

-466.852 0.0000.000 0.000

1561.007 0.0000.000 2755.513

724.458 0.0000.000 0.0000.000 0.0000.000 0.000

1941.260 0.0000.000 453.335

23 24 190.000 2433.133 54095.5480.000 0.000 0.0000.000 0.000 0.0000.000 0.000 0.000

667.398 0.000 724.4580.000 6575.797 2433.133

Page 28: 3d Portico

0.000 0.0000.000 -822.116

466.852 0.0000.000 0.000

1561.007 0.0000.000 2755.513

724.458 0.0000.000 0.0000.000 0.0000.000 0.000

1941.260 0.0000.000 453.335

Page 29: 3d Portico

DATOS DE PROBLEMA :*

A'x A'y ax ay0.100000 0.100000 0.019406 0.0539060.080000 0.080000 0.012420 0.0220800.080000 0.080000 0.019406 0.034500

(2-ax)EIy/(1+ax)L(2-ay)EIx/(1+ay)L1195.71 3156.74773.26 1355.07956.57 1662.99

MATRICES DE RIGIDEZ LOCALES :3

Page 30: 3d Portico

(2-ax)EIy/(1+ax)L(2-ay)EIx/(1+ay)L1195.714 3156.737

0.00 0.00 0.00 0.00 0.00-1216.57 0.00 0.00 0.00 2433.13

0.00 -452.79 0.00 -905.57 0.000.00 0.00 -667.40 0.00 0.000.00 905.57 0.00 1195.71 0.00

-2433.13 0.00 0.00 0.00 3156.740.00 0.00 0.00 0.00 0.00

1216.57 0.00 0.00 0.00 -2433.130.00 452.79 0.00 905.57 0.000.00 0.00 667.40 0.00 0.000.00 905.57 0.00 2426.58 0.00

-2433.13 0.00 0.00 0.00 6575.80

(2-ax)EIy/(1+ax)L(2-ay)EIx/(1+ay)L773.256 1355.066

0.00 0.00 0.00 0.00 0.00-328.85 0.00 0.00 0.00 822.12

0.00 -186.74 0.00 -466.85 0.000.00 0.00 -362.67 0.00 0.000.00 466.85 0.00 773.26 0.00

-822.12 0.00 0.00 0.00 1355.070.00 0.00 0.00 0.00 0.00

328.85 0.00 0.00 0.00 -822.120.00 186.74 0.00 466.85 0.000.00 0.00 362.67 0.00 0.000.00 466.85 0.00 1561.01 0.00

-822.12 0.00 0.00 0.00 2755.51

(2-ax)EIy/(1+ax)L(2-ay)EIx/(1+ay)L956.5710810352 1662.98817554

0.00 0.00 0.00 0.00 0.00-634.57 0.00 0.00 0.00 1269.13

0.00 -362.23 0.00 -724.46 0.000.00 0.00 -453.34 0.00 0.000.00 724.46 0.00 956.57 0.00

-1269.13 0.00 0.00 0.00 1662.990.00 0.00 0.00 0.00 0.00

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634.57 0.00 0.00 0.00 -1269.130.00 362.23 0.00 724.46 0.000.00 0.00 453.34 0.00 0.000.00 724.46 0.00 1941.26 0.00

-1269.13 0.00 0.00 0.00 3413.55

MATRICES TRANSFORMERS :V

i00

90cos i1.001.000.00

cos i1.00

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 01 0 0 0 00 0 0 0 0

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0 1 0 0 00 0 0 1 00 0 -1 0 00 0 0 0 1

cos i1.00

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 01 0 0 0 00 1 0 0 00 0 1 0 00 0 0 1 00 0 0 0 1

cos i0.00

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 1 0 0 01 0 0 0 00 0 0 0 00 0 0 0 10 0 0 1 00 0 -1 0 0

MATRICES DE RIGIDEZ GLOBAL o.O

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20g 21g 22g 23g 24g14g 15g 16g 17g 18g8g 9g 10g 11g 12g2g 3g 4g 5g 6g

0.00 0.00 0.00 0.00 -2433.13-82057.43 0.00 0.00 0.00 0.00

0.00 -452.79 905.57 0.00 0.000.00 -905.57 1195.71 0.00 0.000.00 0.00 0.00 -667.40 0.000.00 0.00 0.00 0.00 3156.740.00 0.00 0.00 0.00 2433.13

82057.43 0.00 0.00 0.00 0.000.00 452.79 -905.57 0.00 0.000.00 -905.57 2426.58 0.00 0.000.00 0.00 0.00 667.40 0.000.00 0.00 0.00 0.00 6575.80

20g 21g 22g 23g 24g8g 9g 10g 11g 12g

0.00 0.00 0.00 0.00 0.00-328.85 0.00 0.00 0.00 822.12

0.00 -186.74 0.00 -466.85 0.000.00 0.00 -362.67 0.00 0.000.00 466.85 0.00 773.26 0.00

-822.12 0.00 0.00 0.00 1355.070.00 0.00 0.00 0.00 0.00

328.85 0.00 0.00 0.00 -822.120.00 186.74 0.00 466.85 0.000.00 0.00 362.67 0.00 0.000.00 466.85 0.00 1561.01 0.00

-822.12 0.00 0.00 0.00 2755.51

2g 3g 4g 5g 6g8g 9g 10g 11g 12g

0.00 0.00 0.00 724.46 0.00-634.57 0.00 -1269.13 0.00 0.00

0.00 -65645.94 0.00 0.00 0.001269.13 0.00 1662.99 0.00 0.00

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0.00 0.00 0.00 956.57 0.000.00 0.00 0.00 0.00 -453.340.00 0.00 0.00 -724.46 0.00

634.57 0.00 1269.13 0.00 0.000.00 65645.94 0.00 0.00 0.00

1269.13 0.00 3413.55 0.00 0.000.00 0.00 0.00 1941.26 0.000.00 0.00 0.00 0.00 453.34

OPERACIONES T_T

2 3 4 5 60.000 0.000 0.000 -724.458 2433.133

83020.838 0.000 1269.134 0.000 822.1160.000 66285.467 -905.572 -466.852 0.000

1269.134 -905.572 6202.790 0.000 0.0000.000 -466.852 0.000 4169.665 0.000

822.116 0.000 0.000 0.000 9784.645

8 9 10 11 120.000 0.000 0.000 -724.458 2433.133

83020.838 0.000 1269.134 0.000 -822.1160.000 66285.467 -905.572 466.852 0.000

1269.134 -905.572 6202.790 0.000 0.0000.000 466.852 0.000 4169.665 0.000

-822.116 0.000 0.000 0.000 9784.645

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14 15 16 17 180.000 0.000 0.000 724.458 2433.133

83020.838 0.000 -1269.134 0.000 822.1160.000 66285.467 -905.572 -466.852 0.000

-1269.134 -905.572 6202.790 0.000 0.0000.000 -466.852 0.000 4169.665 0.000

822.116 0.000 0.000 0.000 9784.645

20 21 22 23 240.000 0.000 0.000 724.458 2433.133

83020.838 0.000 -1269.134 0.000 -822.1160.000 66285.467 -905.572 466.852 0.000

-1269.134 -905.572 6202.790 0.000 0.0000.000 466.852 0.000 4169.665 0.000

-822.116 0.000 0.000 0.000 9784.645

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0 -1 01 0 00 0 10 0 00 0 0

TG t (COLUMNA)0 0 00 0 00 0 0

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0 0 00 0 00 0 00 0 0

1 0 00 1 00 0 10 0 00 0 0

TG t (VIGA L=5m)0 0 00 0 00 0 00 0 00 0 00 0 00 0 0

0 0 -10 1 01 0 00 0 00 0 0

TG t (VIGA L=2m)0 0 00 0 00 0 00 0 00 0 00 0 00 0 0

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25g 31g 37g 43g26g 32g 38g 44g27g 33g 39g 45g28g 34g 40g 46g29g 35g 41g 47g30g 36g 42g 48g1g 7g 13g 19g2g 8g 14g 20g3g 9g 15g 21g4g 10g 16g 22g5g 11g 17g 23g6g 12g 18g 24g

1g 13g2g 14g3g 15g4g 16g5g 17g6g 18g7g 19g8g 20g9g 21g

10g 22g11g 23g12g 24g

19g 13g20g 14g21g 15g22g 16g

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23g 17g24g 18g7g 1g8g 2g9g 3g

10g 4g11g 5g12g 6g

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0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 0

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0 0 0 0 0 10 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 01 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 10 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 -1 0 0 00 1 0 0 0 01 0 0 0 0 00 0 0 0 0 -10 0 0 0 1 00 0 0 1 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

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

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0 0 00 -1 01 0 00 0 1

0 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 01 0 00 1 00 0 1

0 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 -10 1 01 0 0

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MATRIZ GLOBAL .l.

1 2 3 4 5 6 71 54095.55 0.00 0.00 0.00 -724.46 2433.13 -52516.75

2 0.00 83020.84 0.00 1269.13 0.00 822.12 0.00

3 0.00 0.00 66285.47 -905.57 -466.85 0.00 0.00

4 0.00 1269.13 -905.57 6202.79 0.00 0.00 0.00

5 -724.46 0.00 -466.85 0.00 4169.67 0.00 0.00

6 2433.13 822.12 0.00 0.00 0.00 9784.64 0.00

7 -52516.75 0.00 0.00 0.00 0.00 0.00 54095.55

8 0.00 -328.85 0.00 0.00 0.00 -822.12 0.00

9 0.00 0.00 -186.74 0.00 466.85 0.00 0.00

10 0.00 0.00 0.00 -362.67 0.00 0.00 0.00

11 0.00 0.00 -466.85 0.00 773.26 0.00 -724.46

12 0.00 822.12 0.00 0.00 0.00 1355.07 2433.13

13 -362.23 0.00 0.00 0.00 724.46 0.00 0.00

14 0.00 -634.57 0.00 -1269.13 0.00 0.00 0.00

15 0.00 0.00 -65645.94 0.00 0.00 0.00 0.00

16 0.00 1269.13 0.00 1662.99 0.00 0.00 0.00

17 -724.46 0.00 0.00 0.00 956.57 0.00 0.00

18 0.00 0.00 0.00 0.00 0.00 -453.34 0.00

19 0.00 0.00 0.00 0.00 0.00 0.00 -362.23

20 0.00 0.00 0.00 0.00 0.00 0.00 0.00

21 0.00 0.00 0.00 0.00 0.00 0.00 0.00

22 0.00 0.00 0.00 0.00 0.00 0.00 0.00

23 0.00 0.00 0.00 0.00 0.00 0.00 -724.46

24 0.00 0.00 0.00 0.00 0.00 0.00 0.00

25 -1216.57 0.00 0.00 0.00 0.00 -2433.13 0.00

26 0.00 -82057.43 0.00 0.00 0.00 0.00 0.00

27 0.00 0.00 -452.79 905.57 0.00 0.00 0.00

28 0.00 0.00 -905.57 1195.71 0.00 0.00 0.00

29 0.00 0.00 0.00 0.00 -667.40 0.00 0.00

30 2433.13 0.00 0.00 0.00 0.00 3156.74 0.00

31 0.00 0.00 0.00 0.00 0.00 0.00 -1216.57

32 0.00 0.00 0.00 0.00 0.00 0.00 0.00

33 0.00 0.00 0.00 0.00 0.00 0.00 0.00

34 0.00 0.00 0.00 0.00 0.00 0.00 0.00

35 0.00 0.00 0.00 0.00 0.00 0.00 0.00

36 0.00 0.00 0.00 0.00 0.00 0.00 2433.13

37 0.00 0.00 0.00 0.00 0.00 0.00 0.00

38 0.00 0.00 0.00 0.00 0.00 0.00 0.00

39 0.00 0.00 0.00 0.00 0.00 0.00 0.00

40 0.00 0.00 0.00 0.00 0.00 0.00 0.00

41 0.00 0.00 0.00 0.00 0.00 0.00 0.00

42 0.00 0.00 0.00 0.00 0.00 0.00 0.00

43 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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44 0.00 0.00 0.00 0.00 0.00 0.00 0.00

45 0.00 0.00 0.00 0.00 0.00 0.00 0.00

46 0.00 0.00 0.00 0.00 0.00 0.00 0.00

47 0.00 0.00 0.00 0.00 0.00 0.00 0.00

48 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1 2 3 4 5 6 7

F 1 10.000F 2 0.000F 3 0.000F 4 0.000F 5 0.000F 6 0.000F 7 0.000F 8 0.000F 9 0.000F 10 0.000F 11 0.000F 12 0.000F 13 10.000F 14 0.000F 15 0.000F 16 0.000F 17 0.000

F=F 18

=0.000

F 19 0.000F 20 0.000F 21 0.000F 22 0.000F 23 0.000F 24 0.000F 25 F25F 26 F26F 27 F27F 28 F28F 29 F29F 30 F30F 31 F31F 32 F32F 33 F33F 34 F34F 35 F35F 36 F36F 37 F37F 38 F38F 39 F39

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F 40 F40F 41 F41F 42 F42F 43 F43F 44 F44F 45 F45F 46 F46F 47 F47F 48 F48

1 2 3 410.000 54095.55 0.00 0.00 0.00

0.000 0.00 83020.84 0.00 1269.13

0.000 0.00 0.00 66285.47 -905.57

0.000 0.00 1269.13 -905.57 6202.79

0.000 -724.46 0.00 -466.85 0.00

0.000 2433.13 822.12 0.00 0.00

0.000 -52516.75 0.00 0.00 0.00

0.000 0.00 -328.85 0.00 0.00

0.000=

0.00 0.00 -186.74 0.00

0.000 0.00 0.00 0.00 -362.67

0.000 0.00 0.00 -466.85 0.00

0.000 0.00 822.12 0.00 0.00

10.000 -362.23 0.00 0.00 0.00

0.000 0.00 -634.57 0.00 -1269.13

0.000 0.00 0.00 -65645.94 0.00

0.000 0.00 1269.13 0.00 1662.99

0.000 -724.46 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

0.000 0.00 0.00 0.00 0.00

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D1 0.0006373 0.0000024 0.0001004 0.0000108

D2 0.0000024 0.0000121 -0.0000039 -0.0000024

D3 0.0001004 -0.0000039 0.0012063 0.0001422

D4 0.0000108 -0.0000024 0.0001422 0.0001920

D5 0.0000791 0.0000000 0.0000998 0.0000110

D6 -0.0001412 -0.0000014 -0.0000209 -0.0000021

D7 0.0006279 0.0000024 0.0001004 0.0000108

D8 -0.0000024 0.0000000 -0.0000015 -0.0000003

D9=

-0.0001004 -0.0000015 0.0002580 0.0000368

D10 -0.0000108 -0.0000003 0.0000368 0.0000169

D11 0.0000776 0.0000000 0.0000998 0.0000110

D12 -0.0001385 -0.0000014 -0.0000209 -0.0000021

D13 0.0001240 0.0000010 -0.0001004 -0.0000108

D14 0.0000010 0.0000000 0.0000039 0.0000024

D15 0.0001004 -0.0000039 0.0011987 0.0001406

D16 0.0000108 -0.0000024 0.0001406 -0.0000300

D17 0.0000791 0.0000000 0.0000990 0.0000109

D18 -0.0000330 -0.0000003 0.0000209 0.0000021

D19 0.0001240 0.0000010 -0.0001004 -0.0000108

D20 -0.0000010 0.0000000 0.0000015 0.0000003

D21 -0.0001004 -0.0000015 0.0002580 0.0000367

D22 -0.0000108 -0.0000003 0.0000367 -0.0000008

D23 0.0000776 0.0000000 0.0000990 0.0000109

D24 -0.0000328 -0.0000003 0.0000209 0.0000021

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1 2 3 4F25 -1216.57 0.00 0.00 0.00

F26 0.00 -82057.43 0.00 0.00

F27 0.00 0.00 -452.79 905.57

F28 0.00 0.00 -905.57 1195.71

F29 0.00 0.00 0.00 0.00

F30 2433.13 0.00 0.00 0.00

F31 0.00 0.00 0.00 0.00

F32 0.00 0.00 0.00 0.00

F33=

0.00 0.00 0.00 0.00

F34 0.00 0.00 0.00 0.00

F35 0.00 0.00 0.00 0.00

F36 0.00 0.00 0.00 0.00

F37 0.00 0.00 0.00 0.00

F38 0.00 0.00 0.00 0.00

F39 0.00 0.00 0.00 0.00

F40 0.00 0.00 0.00 0.00

F41 0.00 0.00 0.00 0.00

F42 0.00 0.00 0.00 0.00

F43 0.00 0.00 0.00 0.00

F44 0.00 0.00 0.00 0.00

F45 0.00 0.00 0.00 0.00

F46 0.00 0.00 0.00 0.00

F47 0.00 0.00 0.00 0.00

F48 0.00 0.00 0.00 0.00

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MATRIZ GLOBAL .l.

8 9 10 11 12 13 14 150.00 0.00 0.00 0.00 0.00 -362.23 0.00 0.00

-328.85 0.00 0.00 0.00 822.12 0.00 -634.57 0.00

0.00 -186.74 0.00 -466.85 0.00 0.00 0.00 -65645.94

0.00 0.00 -362.67 0.00 0.00 0.00 -1269.13 0.00

0.00 466.85 0.00 773.26 0.00 724.46 0.00 0.00

-822.12 0.00 0.00 0.00 1355.07 0.00 0.00 0.00

0.00 0.00 0.00 -724.46 2433.13 0.00 0.00 0.00

83020.84 0.00 1269.13 0.00 -822.12 0.00 0.00 0.00

0.00 66285.47 -905.57 466.85 0.00 0.00 0.00 0.00

1269.13 -905.57 6202.79 0.00 0.00 0.00 0.00 0.00

0.00 466.85 0.00 4169.67 0.00 0.00 0.00 0.00

-822.12 0.00 0.00 0.00 9784.64 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 54095.55 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 83020.84 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 66285.47

0.00 0.00 0.00 0.00 0.00 0.00 -1269.13 -905.57

0.00 0.00 0.00 0.00 0.00 724.46 0.00 -466.85

0.00 0.00 0.00 0.00 0.00 2433.13 822.12 0.00

0.00 0.00 0.00 724.46 0.00 -52516.75 0.00 0.00

-634.57 0.00 -1269.13 0.00 0.00 0.00 -328.85 0.00

0.00 -65645.94 0.00 0.00 0.00 0.00 0.00 -186.74

1269.13 0.00 1662.99 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 956.57 0.00 0.00 0.00 -466.85

0.00 0.00 0.00 0.00 -453.34 0.00 822.12 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -2433.13 0.00 0.00 0.00

-82057.43 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 -452.79 905.57 0.00 0.00 0.00 0.00 0.00

0.00 -905.57 1195.71 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 -667.40 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 3156.74 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 -1216.57 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 -82057.43 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -452.79

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -905.57

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 2433.13 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

8 9 10 11 12 13 14 15

D 1 D1D 2 D2D 3 D3D 4 D4D 5 D5D 6 D6D 7 D7D 8 D8D 9 D9D 10 D10D 11 D11D 12 D12D 13 D13D 14 D14D 15 D15D 16 D16D 17 D17

D=D 18

=D18

D 19 D19D 20 D20D 21 D21D 22 D22D 23 D23D 24 D24D 25 0.000D 26 0.000D 27 0.000D 28 0.000D 29 0.000D 30 0.000D 31 0.000D 32 0.000D 33 0.000D 34 0.000D 35 0.000D 36 0.000D 37 0.000D 38 0.000D 39 0.000

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D 40 0.000D 41 0.000D 42 0.000D 43 0.000D 44 0.000D 45 0.000D 46 0.000D 47 0.000D 48 0.000

5 6 7 8 9 10 11 12-724.46 2433.13 -52516.75 0.00 0.00 0.00 0.00 0.00

0.00 822.12 0.00 -328.85 0.00 0.00 0.00 822.12

-466.85 0.00 0.00 0.00 -186.74 0.00 -466.85 0.00

0.00 0.00 0.00 0.00 0.00 -362.67 0.00 0.00

4169.67 0.00 0.00 0.00 466.85 0.00 773.26 0.00

0.00 9784.64 0.00 -822.12 0.00 0.00 0.00 1355.07

0.00 0.00 54095.55 0.00 0.00 0.00 -724.46 2433.13

0.00 -822.12 0.00 83020.84 0.00 1269.13 0.00 -822.12

466.85 0.00 0.00 0.00 66285.47 -905.57 466.85 0.00

0.00 0.00 0.00 1269.13 -905.57 6202.79 0.00 0.00

773.26 0.00 -724.46 0.00 466.85 0.00 4169.67 0.00

0.00 1355.07 2433.13 -822.12 0.00 0.00 0.00 9784.64

724.46 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

956.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 -453.34 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 -362.23 0.00 0.00 0.00 724.46 0.00

0.00 0.00 0.00 -634.57 0.00 -1269.13 0.00 0.00

0.00 0.00 0.00 0.00 -65645.94 0.00 0.00 0.00

0.00 0.00 0.00 1269.13 0.00 1662.99 0.00 0.00

0.00 0.00 -724.46 0.00 0.00 0.00 956.57 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -453.34

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0.0000791 -0.0001412 0.0006279 -0.0000024 -0.0001004 -0.0000108 0.0000776 -0.0001385

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D1 0.0076131 m

D2 0.0000343 m

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D4 0.0000000 rad

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D8 -0.0000343 m

D9=

0.0000000 m

D10 0.0000000 rad

D11 0.0000000 rad

D12 -0.0017134 rad

D13 0.0076131 m

D14 0.0000343 m

D15 0.0000000 m

D16 0.0000000 rad

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D18 -0.0017423 rad

D19 0.0075183 mD20 -0.0000343 mD21 0.0000000 m

Page 71: 3d Portico

D22 0.0000000 radD23 0.0000000 radD24 -0.0017134 rad

5 6 7 8 9 10 11 120.00 -2433.13 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-667.40 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 3156.74 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 -1216.57 0.00 0.00 0.00 0.00 -2433.13

0.00 0.00 0.00 -82057.43 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -452.79 905.57 0.00 0.00

0.00 0.00 0.00 0.00 -905.57 1195.71 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 -667.40 0.00

0.00 0.00 2433.13 0.00 0.00 0.00 0.00 3156.74

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

F25 -5.02 TnF26 -2.82 TnF27 0.00 TnF28 0.00 Tn.mF29 0.00 Tn.mF30 13.02 Tn.m

Page 72: 3d Portico

F31 -4.98 TnF32 2.82 TnF33

=0.00 Tn

F34 0.00 Tn.mF35 0.00 Tn.mF36 12.88 Tn.mF37 -5.02 TnF38 -2.82 TnF39 0.00 TnF40 0.00 Tn.mF41 0.00 Tn.mF42 13.02 Tn.mF43 -4.98 TnF44 2.82 TnF45 0.00 TnF46 0.00 Tn.mF47 0.00 Tn.mF48 12.88 Tn.m

Page 73: 3d Portico

MATRIZ GLOBAL .l.

16 17 18 19 20 21 22 230.00 -724.46 0.00 0.00 0.00 0.00 0.00 0.00

1269.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1662.99 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 956.57 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 -453.34 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 -362.23 0.00 0.00 0.00 -724.46

0.00 0.00 0.00 0.00 -634.57 0.00 1269.13 0.00

0.00 0.00 0.00 0.00 0.00 -65645.94 0.00 0.00

0.00 0.00 0.00 0.00 -1269.13 0.00 1662.99 0.00

0.00 0.00 0.00 724.46 0.00 0.00 0.00 956.57

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 724.46 2433.13 -52516.75 0.00 0.00 0.00 0.00

-1269.13 0.00 822.12 0.00 -328.85 0.00 0.00 0.00

-905.57 -466.85 0.00 0.00 0.00 -186.74 0.00 -466.85

6202.79 0.00 0.00 0.00 0.00 0.00 -362.67 0.00

0.00 4169.67 0.00 0.00 0.00 466.85 0.00 773.26

0.00 0.00 9784.64 0.00 -822.12 0.00 0.00 0.00

0.00 0.00 0.00 54095.55 0.00 0.00 0.00 724.46

0.00 0.00 -822.12 0.00 83020.84 0.00 -1269.13 0.00

0.00 466.85 0.00 0.00 0.00 66285.47 -905.57 466.85

-362.67 0.00 0.00 0.00 -1269.13 -905.57 6202.79 0.00

0.00 773.26 0.00 724.46 0.00 466.85 0.00 4169.67

0.00 0.00 1355.07 2433.13 -822.12 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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905.57 0.00 0.00 0.00 0.00 0.00 0.00 0.00

1195.71 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 -667.40 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 3156.74 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 -1216.57 0.00 0.00 0.00 0.00

Page 74: 3d Portico

0.00 0.00 0.00 0.00 -82057.43 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 -452.79 905.57 0.00

0.00 0.00 0.00 0.00 0.00 -905.57 1195.71 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -667.40

0.00 0.00 0.00 2433.13 0.00 0.00 0.00 0.00

16 17 18 19 20 21 22 23

Page 75: 3d Portico

13 14 15 16 17 18 19 20-362.23 0.00 0.00 0.00 -724.46 0.00 0.00 0.00

0.00 -634.57 0.00 1269.13 0.00 0.00 0.00 0.00

0.00 0.00 -65645.94 0.00 0.00 0.00 0.00 0.00

0.00 -1269.13 0.00 1662.99 0.00 0.00 0.00 0.00

724.46 0.00 0.00 0.00 956.57 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 -453.34 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 -362.23 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -634.57

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1269.13

0.00 0.00 0.00 0.00 0.00 0.00 724.46 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

54095.55 0.00 0.00 0.00 724.46 2433.13 -52516.75 0.00

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0.00 -1269.13 -905.57 6202.79 0.00 0.00 0.00 0.00

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2433.13 822.12 0.00 0.00 0.00 9784.64 0.00 -822.12

-52516.75 0.00 0.00 0.00 0.00 0.00 54095.55 0.00

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0.00 822.12 0.00 0.00 0.00 1355.07 2433.13 -822.12

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0.0001240 0.0000010 0.0001004 0.0000108 0.0000791 -0.0000330 0.0001240 -0.0000010

0.0000010 0.0000000 -0.0000039 -0.0000024 0.0000000 -0.0000003 0.0000010 0.0000000

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0.0001004 0.0000015 0.0002580 0.0000367 -0.0000990 -0.0000209 0.0001004 0.0000039

0.0000108 0.0000003 0.0000367 -0.0000008 -0.0000109 -0.0000021 0.0000108 0.0000024

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13 14 15 16 17 18 19 200.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-1216.57 0.00 0.00 0.00 0.00 -2433.13 0.00 0.00

0.00 -82057.43 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 -452.79 905.57 0.00 0.00 0.00 0.00

0.00 0.00 -905.57 1195.71 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 -667.40 0.00 0.00 0.00

2433.13 0.00 0.00 0.00 0.00 3156.74 0.00 0.00

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0.00 0.00 0.00 0.00 0.00 0.00 0.00 -82057.43

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Page 78: 3d Portico
Page 79: 3d Portico

MATRIZ GLOBAL .l.

24 25 26 27 28 29 30 310.00 -1216.57 0.00 0.00 0.00 0.00 2433.13 0.00

0.00 0.00 -82057.43 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 -452.79 -905.57 0.00 0.00 0.00

0.00 0.00 0.00 905.57 1195.71 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 -667.40 0.00 0.00

0.00 -2433.13 0.00 0.00 0.00 0.00 3156.74 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 -1216.57

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

-453.34 0.00 0.00 0.00 0.00 0.00 0.00 -2433.13

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

822.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

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24 25 26 27 28 29 30 31

Page 81: 3d Portico

21 22 23 240.00 0.00 0.00 0.00 D10.00 0.00 0.00 0.00 D20.00 0.00 0.00 0.00 D30.00 0.00 0.00 0.00 D40.00 0.00 0.00 0.00 D50.00 0.00 0.00 0.00 D60.00 0.00 -724.46 0.00 D70.00 1269.13 0.00 0.00 D8

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MATRIZ GLOBAL .l.

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