ejemplo de metodo de rigidez en excel

PORTICO EJE 5 11 ELEMENTO [ K ] = 19 20 21 33 402.150252 0 -703.76294 -402.150252 0 55895.3103 0 0 -703.76294 0 1650

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PORTICO EJE 5

11

ELEMENTO

[ K ] =

19 20 21 33 402.150252 0 -703.76294 -402.150252 0 55895.3103 0 0 -703.76294 0 1650.79997 703.76294 -402.150252 0 703.76294 402.150252 0 -55895.3103 0 0 -703.76294 0 812.370318 703.76294

ELEMENTO

33 [ K ] =

1

7

11075.9594 -13922.003 -13922.003

8

34

1090.7957 -11075.9594

18147.453 848.396653

13922.003

1090.7957 848.396653 10144.8299 -1090.7957 -11075.9594

13922.003 -1090.7957 11075.9594

13922.003 -18147.453 -848.396653 -13922.003 1104.5164 859.068309 5368.70891 -1104.5164

1 2 3 4 5 6 7 8 9

1 309321.147 466.344253 -2328.06378 1595.41257 0 0 -306993.083 -1109.24953 0

2 466.344253 12060.0918 -1575.59378 5368.70891 0 0 1109.24953 937.094005 0

3 -2328.06378 -1575.59378 154672.946 0 -118950.75 -914.107291 0 0 -33394.1315

4 1595.41257 5368.70891 30594.8692 914.107291 7640.7994 0 0 -4411.378

10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

0 0 0 154618.778 8618.38283 0 -163237.161 0 0 0 0 0 0 0 0 0 0 0 0 154618.778 8618.38283 0 0 -163237.161 0 0 0

0 0 0 2423.63341 -363.598566 0 -2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 2423.63341 -363.598566 0 0 -2060.03485 0 0 0

4411.378 0 0 8618.38283 100253.455 -23394.0369 0 -85477.8011 0 0 0 0 0 0 0 0 0 0 0 8618.38283 -70702.147 -23394.0369 0 0 -85477.8011 0 0

2865.63115 0 0 368.172133 2731.90499 -4570.53646 0 1470.45933 0 0 0 0 0 0 0 0 0 0 0 368.172133 2731.90499 -4570.53646 0 0 1470.45933 0 0

7 8 0 -703.76294 -55895.3103 0 0 812.370318 0 703.76294 55895.3103 0 0 1650.79997

19 20 21 33 7 8

[K] =

33 91735.2885 163237.161 -2060.03485 -91735.2885 -163237.161 -2060.03485

9

10

13922.003

1104.5164

33

-18147.453 859.068309

7

98254.9551

-848.396653 5368.70891

8

6398.75104

-13922.003 -1104.5164

34

-46527.4517

18147.453 -859.068309

9

-98254.9551

-859.068309 10339.9688

10

6398.75104

5

6

0 0 0 0 -118950.75 -914.107291 914.107291 7640.7994 867537.09 11207.3226 11207.3226 20254.9005 0 0 0 0 0 0

34

7 -306993.083 1109.24953 0 0 0 0 381035.847 1957.64619 -18147.453

[K] =

8 -1109.24953 937.094005 0 0 0 0 1957.64619 21713.515 -848.396653

46527.4517

9

10

0 0 -33394.1315 -4411.378 0 0 -18147.453 -848.396653 456020.074

0 0 4411.378 2865.63115 0 0 859.068309 5368.70891 -3009.42914

0 -748586.34 10293.2153 0 -23394.0369 1020635.05 0 0 -997241.013 0 0 0 0 0 0 0 0 0 0 0 -23394.0369 1231269.05 -210634 0 0 -997241.013 0

0 -10293.2153 2865.63115 0 4570.53646 -11922.8331 0 0 7352.29667 0 0 0 0 0 0 0 0 0 0 0 4570.53646 -3839.46779 -8083.36534 0 0 7352.29667 0

859.068309 0 0 -163237.161 0 0 149315.158 13922.003 0 0 -55895.3103 0 0 0 0 0 0 0 0 -163237.161 0 0 0 149315.158 13922.003 0 0

5368.70891 0 0 2060.03485 0 0 -265.476208 -1090.7957 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 2060.03485 0 0 0 -265.476208 -1090.7957 0 0

-3009.42914 -3009.42914 -2742.32187 0 -85477.8011 0 13922.003 458159.309 -98254.9551 0 0 0 -288348.556 -170798.743 5003.33905 0 0 0 0 0 -85477.8011 0 0 13922.003 458159.309 -98254.9551 0

35750.4765 2742.32187 7640.7994 0 -1470.45933 0 1104.5164 3950.31576 -6398.75104 0 0 0 2814.37821 -5003.33905 2505.75558 0 0 0 0 0 -1470.45933 0 0 1104.5164 3950.31576 -6398.75104 0

ELEMENTO

7

7 163237.161 306993.083 1109.24953 -163237.161 -306993.083 1109.24953

8 -2060.03485 1109.24953 1915.26194 2060.03485 -1109.24953 937.094005

ELEMENTO

29 -91735.2885 -163237.161 2060.03485 91735.2885 163237.161 2060.03485

1 -163237.161 -306993.083 -1109.24953 163237.161 306993.083 -1109.24953

2 -2060.03485 1109.24953 937.094005 2060.03485 -1109.24953 1915.26194

35

11

12

33 7 8 29 1 2

2

9

10

98254.9551 6398.75104 -46527.4517 -98254.9551 6398.75104

34

233679.747 -2742.32187 -98254.9551 -233679.747 -2742.32187

9

-2742.32187 14297.7756 -6398.75104 2742.32187

7640.7994

10

-98254.9551 -6398.75104 46527.4517 98254.9551 -6398.75104

35

-233679.747 2742.32187 98254.9551 233679.747 2742.32187

11

-2742.32187

12

7640.7994 -6398.75104 2742.32187 14297.7756

PORTICO EJE 5 11

12

0 0 0 0 0 0 0 0 -748586.34 10293.2153 -10293.2153 2865.63115 0 0 0 0 -3009.42914 -2742.32187

13 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0

14 8618.38283 -363.598566 100253.455 2731.90499 -23394.0369 4570.53646 0 0 -85477.8011

15 0 0 -23394.0369 -4570.53646 1020635.05 -11922.8331 0 0 0

16 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003

2742.32187 1896604.41 1204.94986 0 0 -997241.013 0 -98254.9551 2272919.24 0 0 0 0 0 0 -1177423.27 -914338.321 8755.84333 0 0 0 -997241.013 0 0 -98254.9551 2633337.42 -360418.18

7640.7994 0 -1470.45933 0 1104.5164 1204.94986 0 0 -997241.013 0 25410.5078 0 0 -7352.29667 0 0 129420.82 -37685.5318 0 -91735.2885 0 -37685.5318 305679.84 -6659.37319 0 -7352.29667 0 -6659.37319 1439068.12 0 0 -91735.2885 0 0 103213.398 6398.75104 0 -261334.935 0 -11075.9594 -5613.33686 0 0 -1432408.75 0 0 0 0 0 -402.150252 0 0 0 0 0 0 0 0 0 703.76294 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6566.8825 0 0 0 0 -8755.84333 0 0 0 0 2505.75558 0 0 0 0 0 0 0 19606.1245 2865.63115 0 0 0 0 0 0 0 0 0 0 -7352.29667 -210634 7949.756 0 0 0 0 0 -2820767.44 -13234.134 0 0 0 0 0 6398.75104 0 0 0 0 4266.33189 0 0 -360418.18 9716.36844 -9879.66875 -2820767.44 13234.134 7360100.34 -12657.2871

[K] =

22 521222.335 288348.556 2814.37821 -521222.335 -288348.556 2814.37821

ELEMENTO

12

23 288348.556 170798.743 -5003.33905 -288348.556 -170798.743 -5003.33905

24 2814.37821 -5003.33905 5155.60733 -2814.37821 5003.33905 2505.75558

ELEMENTO

29 [K] =

34 -521222.335 -288348.556 -2814.37821 521222.335 288348.556 -2814.37821

4

1

2

30

37685.5318 -8618.38283 363.598566 -37685.5318 -8618.38283 2328.06378 1575.59378 8618.38283 363.598566 1575.59378 10144.8299 -363.598566 -37685.5318 8618.38283 -363.598566 37685.5318 8618.38283 -2328.06378 -1575.59378 -8618.38283 368.172133 1595.41257 5368.70891 -368.172133

PORTICO EJE 5 17

18

19

20

21

22

0 0 0 0 0 0 0 0 0 0 0 0 -85477.8011 0 0 0 0 0 1470.45933 0 0 0 0 0 0 -997241.013 0 0 0 0 0 7352.29667 0 0 0 0 13922.003 0 0 -55895.3103 0 0 -1090.7957 0 -703.76294 0 812.370318 0 458159.309 -98254.9551 0 0 0 -288348.556

3950.31576 -98254.9551 6398.75104 0 -261334.935 0 -11075.9594 840160.68 -46527.4517 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 16175.0527 0 0 0 0 0 0 0 -5211798

-6398.75104 2272919.24 -5613.33686 0 0 -1432408.75 0 -46527.4517 3080104.76 0 0 0 0 0 0 -1601168.56 -1177423.27 -6566.8825 -19606.1245 0 0 0 0 0 0 0 -4178914.72

0 0 0 2814.37821 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 -521222.335 0 0 0 0 402.150252 0 -703.76294 0 0 55895.3103 0 0 -703.76294 0 1650.79997 0 0 0 0 521222.335 0 0 0 288348.556 0 0 0 2814.37821 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 -521222.335 0 0 0 0 0 0 0 0

9 -288348.556 -170798.743 5003.33905 288348.556 170798.743 5003.33905

10 2814.37821 -5003.33905 2505.75558 -2814.37821 5003.33905 5155.60733

3

4

22 23 24 34 9 10

34 261334.935 85477.8011 1470.45933 -261334.935 -85477.8011 1470.45933

[K] =

30

8618.38283 368.172133

29

-2328.06378 1595.41257

1

23394.0369

-1575.59378 5368.70891

2

4570.53646

-8618.38283 -368.172133

30

-6659.37319

2328.06378 -1595.41257

3

-23394.0369

-1595.41257 10339.9688

4

4570.53646

23

24

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -170798.743 5003.33905

25

[K] =

26 0 0 0 0 0 0 0 0 0

6659.37319

27 0 0 0 0 0 0 0 0 0

28 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

-5003.33905 0 0 0 0 0 0 -288348.556 0 0 0 0 288348.556 170798.743 -5003.33905 0 0 0 0 0 0 0 0 0 -288348.556 0 0

2505.75558 0 0 0 0 0 0 -2814.37821 0 0 0 0 2814.37821 -5003.33905 5155.60733 0 0 0 0 0 0 0 0 0 -2814.37821 0 0

0 -1177423.27 6566.8825 0 0 0 0 0 -1601168.56 0 0 0 0 0 0 1601168.56 1177423.27 6566.8825 0 0 0 0 0 0 0 -1601168.56 0

0 -914338.321 -8755.84333 0 0 0 0 0 -1177423.27 0 0 0 0 0 0 1177423.27 914338.321 -8755.84333 0 0 0 0 0 0 0 -1177423.27 0

0 8755.84333 2505.75558 0 0 0 0 0 -6566.8825 0 0 0 0 0 0 6566.8825 -8755.84333 5155.60733 0 0 0 0 0 0 0 -6566.8825 0

0 0 0 0 0 19606.1245 2865.63115 16175.0527 -19606.1245 0 0 0 0 0 0 0 0 0 5957.12486 0 0 0 0 0 0 0 -16175.0527

ELEMENTO

8

9 85477.8011 33394.1315 -4411.378 -85477.8011 -33394.1315 -4411.378

10 1470.45933 -4411.378 5957.12486 -1470.45933 4411.378 2865.63115

ELEMENTO

30 -261334.935 -85477.8011 -1470.45933 261334.935 85477.8011 -1470.45933

3 -85477.8011 -33394.1315 4411.378 85477.8011 33394.1315 4411.378

4 1470.45933 -4411.378 2865.63115 -1470.45933 4411.378 5957.12486

31

5

6

34 9 10 30 3 4

5

3

4

23394.0369 4570.53646 -6659.37319 -23394.0369 4570.53646

30

118950.75 -914.107291 -23394.0369 -118950.75 -914.107291

3

-914.107291 14297.7756 -4570.53646 914.107291

7640.7994

4

-23394.0369 -4570.53646 6659.37319 23394.0369 -4570.53646

31

-118950.75 914.107291 23394.0369 -914.107291

29 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0

118950.75 914.107291

5

7640.7994 -4570.53646 914.107291 14297.7756

6

30 8618.38283 -363.598566 -70702.147 2731.90499 -23394.0369 4570.53646 0 0 -85477.8011

31

32

0 0 0 0 -23394.0369 0 -4570.53646 0 1231269.05 -210634 -3839.46779 -8083.36534 0 0 0 0 0 0

33 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003

34 0 0 -85477.8011 1470.45933 0 0 13922.003 -1090.7957 458159.309

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 129420.82 -37685.5318 0 0 -91735.2885 0 0 0

-1470.45933 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -37685.5318 305679.84 -6659.37319 0 0 -261334.935 0 0

0 -997241.013 -7352.29667 -210634 7949.756 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6659.37319 1563955.12 -124887 0 0 -1432408.75 0

0 0 0 0 0 -2820767.44 -13234.134 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -124887 3671502.57 0 0 0 -3546615.57

1104.5164 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 0 0 0 -91735.2885 0 0 0 103213.398 -11075.9594 0 0

3950.31576 -98254.9551 6398.75104 0 0 0 0 0 0 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 0 0 -261334.935 0 0 -11075.9594 840160.68 -46527.4517 0

25 1601168.56 1177423.27 6566.8825 -1601168.56 -1177423.27 6566.8825

[K] =

ELEMENTO

13

26 1177423.27 914338.321 -8755.84333 -1177423.27 -914338.321 -8755.84333

27 6566.8825 -8755.84333 5155.60733 -6566.8825 8755.84333 2505.75558

ELEMENTO

31 [K] =

35 -1601168.56 -1177423.27 -6566.8825 1601168.56 1177423.27 -6566.8825

6

5

6

32

124886.995 210634.001 8083.36534

-124887

210634.001 387009.308 -4490.75852

-210634

8083.36534 -4490.75852 14166.6681 -8083.36534 -124887

-210634 -8083.36534 124886.995

-210634 -387009.308 4490.75852 210634.001 7949.756 -4416.53111 7388.97284

35 0 0 0 0 -997241.013 7352.29667 0 0 -98254.9551

36 0 0 0 0 0 0 0 0 0

1 2 3 4 5 6 7 8 9

-7949.756

-6398.75104 0 2633337.42 -360418.18 4266.33189 -9879.66875 0 -2820767.44 0 13234.134 -360418.18 7360100.34 9716.36844 -12657.2871 0 -5211798 0 -4178914.72 0 0 0 0 0 0 0 0 0 0 0 0 -1601168.56 0 -1177423.27 0 -6566.8825 0 0 -16175.0527 0 0 0 0 -1432408.75 0 0 -3546615.57 0+ -46527.4517 0 3080104.76 241975.684 -241975.684 9000389.29

10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

11 -1177423.27 -914338.321 8755.84333 1177423.27 914338.321 8755.84333

12 6566.8825 -8755.84333 2505.75558 -6566.8825 8755.84333 5155.60733

13

14

-210634

7949.756

31

-387009.308 -4416.53111

5

360418.18

4490.75852 7388.97284

6

9879.66875

-7949.756

32

-241975.684

387009.308 4416.53111

13

-360418.18

4416.53111 13810.3765

14

9716.36844

210634.001

25 26 27 35 11 12

[K] =

35 1432408.75 997241.013 7352.29667 -1432408.75 -997241.013 7352.29667

35 [K] =

241975.684

ELEMENTO

9

11 997241.013 748586.34 -10293.2153 -997241.013 -748586.34 -10293.2153

12 7352.29667 -10293.2153 5957.12486 -7352.29667 10293.2153 2865.63115

ELEMENTO

11

31 -1432408.75 -997241.013 -7352.29667 1432408.75 997241.013 -7352.29667

5 -997241.013 -748586.34 10293.2153 997241.013 748586.34 10293.2153

6 7352.29667 -10293.2153 2865.63115 -7352.29667 10293.2153 5957.12486

36

15

16

35 11 12 31 5 6

3

12

360418.18 9879.66875 -241975.684 -360418.18 9716.36844

35

578990.086 -6287.06193 -360418.18 -578990.086 -6183.14355

11

-6287.06193 14166.6681 -9879.66875 6287.06193 7388.97284

12

-360418.18 -9879.66875 241975.684

360418.18 -9716.36844

36

360418.18 578990.086 6183.14355

15

-6183.14355 7388.97284 -9716.36844 6183.14355 13810.3765

16

-578990.086 6287.06193

[K] =

17 5211798.04 4178914.72 16175.0527 -5211798 -4178914.72 16175.0527

ELEMENTO

14

18 4178914.72 3594051.5 -19606.1245 -4178914.72 -3594051.5 -19606.1245

28 16175.0527 -19606.1245 5957.12486 -16175.0527 19606.1245 2865.63115

ELEMENTO

36 [K] =

15

3546615.57 2820767.44

36 -5211798 -4178914.72 -16175.0527 5211798.04 4178914.72 -16175.0527

10

16

32

13234.134 -3546615.57

2820767.44 2406911.56 -16175.0527 -2820767.44 13234.134 -16175.0527 5957.12486 -13234.134 -3546615.57 -2820767.44 -13234.134 3546615.57 -2820767.44 -2406911.56 16175.0527 2820767.44 13234.134 -16175.0527 2865.63115 -13234.134

15 -4178914.72 -3594051.5 19606.1245 4178914.72 3594051.5 19606.1245

16 16175.0527 -19606.1245 2865.63115 -16175.0527 19606.1245 5957.12486

13

14

-2820767.44

13234.134

36

-2406911.56 -16175.0527

15

16175.0527 2865.63115

16

2820767.44 -13234.134

32

2406911.56 16175.0527

13

16175.0527 5957.12486

14

17 18 28 36 15 16

MATRIZ DE RIGIDEZ PORTICO EJE 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

1 309321.147 466.344253 -2328.06378 1595.41257 0 0 -306993.083 -1109.24953 0 0 0 0 154618.778 8618.38283 0 -163237.161 0 0 0 0 0 0 0 0 0 0 0 0 154618.778 8618.38283 0

2 466.344253 12060.0918 -1575.59378 5368.70891 0 0 1109.24953 937.094005 0 0 0 0 2423.63341 -363.598566 0 -2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 2423.63341 -363.598566 0

3 -2328.06378 -1575.59378 154672.946 -2509.51987 -118950.75 -914.107291 0 0 -33394.1315 4411.378 0 0 8618.38283 100253.455 -23394.0369 0 -85477.8011 0 0 0 0 0 0 0 0 0 0 0 8618.38283 -70702.147 -23394.0369

4 1595.41257 5368.70891 -2509.51987 30594.8692 914.107291 7640.7994 0 0 -4411.378 2865.63115 0 0 368.172133 2731.90499 -4570.53646 0 1470.45933 0 0 0 0 0 0 0 0 0 0 0 368.172133 2731.90499 -4570.53646

5

6

0 0 -118950.75 914.107291 867537.09 11207.3226 0 0 0 0 -748586.34 10293.2153 0 -23394.0369 1020635.05 0 0 -997241.013 0 0 0 0 0 0 0 0 0 0 0 -23394.0369 1231269.05

0 0 -914.107291 7640.7994 11207.3226 20254.9005 0 0 0 0 -10293.2153 2865.63115 0 4570.53646 -11922.8331 0 0 7352.29667 0 0 0 0 0 0 0 0 0 0 0 4570.53646 -3839.46779

32 33 34 35 36

0 0 0 0 -210634 -8083.36534 -163237.161 -2060.03485 0 0 0 0 0 0 -85477.8011 1470.45933 0 0 0 0 0 0 -997241.013 7352.29667 0 0 0 0 0 0

7 -306993.083 1109.24953 0 0 0 0 381035.847 1957.64619 -18147.453 859.068309 0 0 -163237.161 0 0 149315.158 13922.003 0 0 -55895.3103 0 0 0 0 0 0 0 0 -163237.161 0 0

8 -1109.24953 937.094005 0 0 0 0 1957.64619 21713.515 -848.396653 5368.70891 0 0 2060.03485 0 0 -265.476208 -1090.7957 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 2060.03485 0 0

9

10

11

12

0 0 -33394.1315 -4411.378 0 0 -18147.453 -848.396653 456020.074 -3009.42914 -3009.42914 -2742.32187 0 -85477.8011 0 13922.003 458159.309 -98254.9551 0 0 0 -288348.556 -170798.743 5003.33905 0 0 0 0 0 -85477.8011 0

0 0 4411.378 2865.63115 0 0 859.068309 5368.70891 -3009.42914 35750.4765 2742.32187 7640.7994 0 -1470.45933 0 1104.5164 3950.31576 -6398.75104 0 0 0 2814.37821 -5003.33905 2505.75558 0 0 0 0 0 -1470.45933 0

0 0 0 0 -748586.34 -10293.2153 0 0 -3009.42914 2742.32187 1896604.41 1204.94986 0 0 -997241.013 0 -98254.9551 2272919.24 0 0 0 0 0 0 -1177423.27 -914338.321 8755.84333 0 0 0 -997241.013

0 0 0 0 10293.2153 2865.63115 0 0 -2742.32187 7640.7994 1204.94986 25410.5078 0 0 -7352.29667 0 6398.75104 -5613.33686 0 0 0 0 0 0 6566.8825 -8755.84333 2505.75558 0 0 0 -7352.29667

13 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 129420.82 -37685.5318 0 -91735.2885 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -210634

14 8618.38283 -363.598566 100253.455 2731.90499 -23394.0369 4570.53646 0 0 -85477.8011 -1470.45933 0 0 -37685.5318 305679.84 -6659.37319 0 -261334.935 0 0 0 0 0 0 0 0 0 0 0 0 0 7949.756

15 0 0 -23394.0369 -4570.53646 1020635.05 -11922.8331 0 0 0 0 -997241.013 -7352.29667 0 -6659.37319 1439068.12 0 0 -1432408.75 0 0 0 0 0 0 0 0 0 19606.1245 0 0 0

16 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003 1104.5164 0 0 -91735.2885 0 0 103213.398 -11075.9594 0 -402.150252 0 703.76294 0 0 0 0 0 0 2865.63115 0 0 0

0 0 0 0 0 0 0 149315.158 -265.476208 13922.003 1104.5164 0 0 0 13922.003 -1090.7957 458159.309 3950.31576 -98254.9551 6398.75104 0 0 0 -98254.9551 -6398.75104 2633337.42 4266.33189 0 0 0 0 0 -360418.18 -9879.66875 -2820767.44

0 -2820767.44 -13234.134 0 0 0 0 0 0 0 -360418.18 9716.36844 13234.134 7360100.34 -12657.2871

17

18

0 0 -85477.8011 1470.45933 0 0 13922.003 -1090.7957 458159.309 3950.31576 -98254.9551 6398.75104 0 -261334.935 0 -11075.9594 840160.68 -46527.4517 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 16175.0527 0 0 0

0 0 0 0 -997241.013 7352.29667 0 0 -98254.9551 -6398.75104 2272919.24 -5613.33686 0 0 -1432408.75 0 -46527.4517 3080104.76 0 0 0 0 0 0 -1601168.56 -1177423.27 -6566.8825 -19606.1245 0 0 0

19

20 21 22 23 24 25 26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -55895.3103 0 0 0 0 0 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 0 -288348.556 -170798.743 5003.33905 0 0 0 0 0 2814.37821 -5003.33905 2505.75558 0 0 0 0 0 0 0 0 -1177423.27 -914338.321 0 0 0 0 0 0 6566.8825 -8755.84333 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 0 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 0 0 0 0 0 -1601168.56 -1177423.27 402.150252 0 -703.76294 0 0 0 0 0 0 55895.3103 0 0 0 0 0 0 -703.76294 0 1650.79997 0 0 0 0 0 0 0 0 521222.335 288348.556 2814.37821 0 0 0 0 0 288348.556 170798.743 -5003.33905 0 0 0 0 0 2814.37821 -5003.33905 5155.60733 0 0 0 0 0 0 0 0 1601168.56 1177423.27 0 0 0 0 0 0 1177423.27 914338.321 0 0 0 0 0 0 6566.8825 -8755.84333 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 -402.150252 0 0 0 0 0 0 -5211798 -4178914.72 0

0 0 0 0 0

0 0 0 0 0 0 703.76294 0 0 0 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 0 0 0 -1601168.56 -1177423.27 0 0 0 0 0 0

27

28

0 0 0 0 0 0 0 0 0 0 8755.84333 2505.75558 0 0 0 0 0 -6566.8825 0 0 0 0 0 0 6566.8825 -8755.84333 5155.60733 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 19606.1245 2865.63115 16175.0527 -19606.1245 0 0 0 0 0 0 0 0 0 5957.12486 0 0 0

29 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 129420.82 -37685.5318 0

30 8618.38283 -363.598566 -70702.147 2731.90499 -23394.0369 4570.53646 0 0 -85477.8011 -1470.45933 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -37685.5318 305679.84 -6659.37319

31

32 33 34 35 36 0 0 -163237.161 0 0 0 0 0 -2060.03485 0 0 0 -23394.0369 0 0 -85477.8011 0 0 -4570.53646 0 0 1470.45933 0 0 1231269.05 -210634 0 0 -997241.013 0 -3839.46779 -8083.36534 0 0 7352.29667 0 0 0 149315.158 13922.003 0 0 0 0 -265.476208 -1090.7957 0 0 0 0 13922.003 458159.309 -98254.9551 0 0 0 1104.5164 3950.31576 -6398.75104 0 -997241.013 0 0 -98254.9551 2633337.42 -360418.18 -7352.29667 0 0 6398.75104 4266.33189 -9879.66875 -210634 0 0 0 0 -2820767.44 7949.756 0 0 0 0 13234.134 0 -2820767.44 0 0 -360418.18 7360100.34 0 -13234.134 0 0 9716.36844 -12657.2871 0 0 0 0 0 -5211798 0 0 0 0 0 -4178914.72 0 0 -402.150252 0 0 0 0 0 0 0 0 0 0 0 703.76294 0 0 0 0 0 0 -521222.335 0 0 0 0 0 -288348.556 0 0 0 0 0 -2814.37821 0 0 0 0 0 0 -1601168.56 0 0 0 0 0 -1177423.27 0 0 0 0 0 -6566.8825 0 0 0 0 0 0 -16175.0527 0 0 -91735.2885 0 0 0 -6659.37319 0 0 -261334.935 0 0 1563955.12 -124887 0 0 -1432408.75 0

0 0 0 0 -124887 3671502.57 0 0 0 -3546615.57 0 0 -91735.2885 0 0 0 103213.398 -11075.9594 0 0 0 0 0 -261334.935 0 0 -11075.9594 840160.68 -46527.4517 0 -6566.8825 0 0 0 -1432408.75 0 0 -46527.4517 3080104.76 241975.684 0 -16175.0527 0 0 0 -3546615.57 0 0 -241975.684 9000389.29

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

32 33 34 35 36

MATRIZ DE RIGIDEZ PORTICO EJE 6 1 1 309321.147 2 466.344253 3 -2328.06378 4 1595.41257 5 0 6 0 7 -306993.083 8 -1109.24953 9 0 10 0 11 0 12 0 13 154618.778 14 8618.38283 15 0 16 -163237.161 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 154618.778 30 8618.38283 31 0

2 466.344253 12060.0918 -1575.59378 5368.70891 0 0 1109.24953 937.094005 0 0 0 0 2423.63341 -363.598566 0 -2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 2423.63341 -363.598566 0

3 -2328.06378 -1575.59378 154672.946 -2509.51987 -118950.75 -914.107291 0 0 -33394.1315 4411.378 0 0 8618.38283 100253.455 -23394.0369 0 -85477.8011 0 0 0 0 0 0 0 0 0 0 0 8618.38283 -70702.147 -23394.0369

4 1595.41257 5368.70891 -2509.51987 30594.8692 914.107291 7640.7994 0 0 -4411.378 2865.63115 0 0 368.172133 2731.90499 -4570.53646 0 1470.45933 0 0 0 0 0 0 0 0 0 0 0 368.172133 2731.90499 -4570.53646

5

6

0 0 -118950.75 914.107291 867537.09 11207.3226 0 0 0 0 -748586.34 10293.2153 0 -23394.0369 1020635.05 0 0 -997241.013 0 0 0 0 0 0 0 0 0 0 0 -23394.0369 1231269.05

0 0 -914.107291 7640.7994 11207.3226 20254.9005 0 0 0 0 -10293.2153 2865.63115 0 4570.53646 -11922.8331 0 0 7352.29667 0 0 0 0 0 0 0 0 0 0 0 4570.53646 -3839.46779

7 -306993.083 1109.24953 0 0 0 0 381035.847 1957.64619 -18147.453 859.068309 0 0 -163237.161 0 0 149315.158 13922.003 0 0 -55895.3103 0 0 0 0 0 0 0 0 -163237.161 0 0

8 -1109.24953 937.094005 0 0 0 0 1957.64619 21713.515 -848.396653 5368.70891 0 0 2060.03485 0 0 -265.476208 -1090.7957 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 2060.03485 0 0

32 33 34 35 36

0 0 0 0 -210634 -8083.36534 0 0 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 0 0 -85477.8011 1470.45933 0 0 13922.003 -1090.7957 0 0 0 0 -997241.013 7352.29667 0 0 0 0 0 0 0 0 0 0

9

10

11

12

0 0 -33394.1315 -4411.378 0 0 -18147.453 -848.396653 456020.074 -3009.42914 -3009.42914 -2742.32187 0 -85477.8011 0 13922.003 458159.309 -98254.9551 0 0 0 -288348.556 -170798.743 5003.33905 0 0 0 0 0 -85477.8011 0

0 0 4411.378 2865.63115 0 0 859.068309 5368.70891 -3009.42914 35750.4765 2742.32187 7640.7994 0 -1470.45933 0 1104.5164 3950.31576 -6398.75104 0 0 0 2814.37821 -5003.33905 2505.75558 0 0 0 0 0 -1470.45933 0

0 0 0 0 -748586.34 -10293.2153 0 0 -3009.42914 2742.32187 1896604.41 1204.94986 0 0 -997241.013 0 -98254.9551 2272919.24 0 0 0 0 0 0 -1177423.27 -914338.321 8755.84333 0 0 0 -997241.013

0 0 0 0 10293.2153 2865.63115 0 0 -2742.32187 7640.7994 1204.94986 25410.5078 0 0 -7352.29667 0 6398.75104 -5613.33686 0 0 0 0 0 0 6566.8825 -8755.84333 2505.75558 0 0 0 -7352.29667

13 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 129420.82 -37685.5318 0 -91735.2885 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -210634

14 8618.38283 -363.598566 100253.455 2731.90499 -23394.0369 4570.53646 0 0 -85477.8011 -1470.45933 0 0 -37685.5318 305679.84 -6659.37319 0 -261334.935 0 0 0 0 0 0 0 0 0 0 0 0 0 7949.756

15 0 0 -23394.0369 -4570.53646 1020635.05 -11922.8331 0 0 0 0 -997241.013 -7352.29667 0 -6659.37319 1439068.12 0 0 -1432408.75 0 0 0 0 0 0 0 0 0 19606.1245 0 0 0

16 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003 1104.5164 0 0 -91735.2885 0 0 103213.398 -11075.9594 0 -402.150252 0 703.76294 0 0 0 0 0 0 2865.63115 0 0 0

17

18

0 0 -85477.8011 1470.45933 0 0 13922.003 -1090.7957 458159.309 3950.31576 -98254.9551 6398.75104 0 -261334.935 0 -11075.9594 840160.68 -46527.4517 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 16175.0527 0 0 0

0 0 0 0 -997241.013 7352.29667 0 0 -98254.9551 -6398.75104 2272919.24 -5613.33686 0 0 -1432408.75 0 -46527.4517 3080104.76 0 0 0 0 0 0 -1601168.56 -1177423.27 -6566.8825 -19606.1245 0 0 0

0 0 0 0 0 13922.003 1104.5164 0 0 0 458159.309 3950.31576 -98254.9551 6398.75104 0 -98254.9551 -6398.75104 2633337.42 4266.33189 0 0 0 -360418.18 -9879.66875 -2820767.44

0 -2820767.44 -13234.134 0 0 0 0 0 0 0 -360418.18 9716.36844 13234.134 7360100.34 -12657.2871

0 0 0 0 0 0 0 0 -5211798 -4178914.72

19

20 21 22 23 24 25 26 27 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -55895.3103 0 0 0 0 0 0 0 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 0 0 0 -288348.556 -170798.743 5003.33905 0 0 0 0 0 0 0 2814.37821 -5003.33905 2505.75558 0 0 0 0 0 0 0 0 0 0 -1177423.27 -914338.321 8755.84333 0 0 0 0 0 0 0 6566.8825 -8755.84333 2505.75558 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19606.1245 -402.150252 0 703.76294 0 0 0 0 0 0 2865.63115 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 16175.0527 0 0 0 0 0 0 -1601168.56 -1177423.27 -6566.8825 -19606.1245 402.150252 0 -703.76294 0 0 0 0 0 0 0 0 55895.3103 0 0 0 0 0 0 0 0 -703.76294 0 1650.79997 0 0 0 0 0 0 0 0 0 0 521222.335 288348.556 2814.37821 0 0 0 0 0 0 0 288348.556 170798.743 -5003.33905 0 0 0 0 0 0 0 2814.37821 -5003.33905 5155.60733 0 0 0 0 0 0 0 0 0 0 1601168.56 1177423.27 6566.8825 0 0 0 0 0 0 0 1177423.27 914338.321 -8755.84333 0 0 0 0 0 0 0 6566.8825 -8755.84333 5155.60733 0 0 0 0 0 0 0 0 0 0 5957.12486 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 -402.150252 0 0 0

0 0 0 0 0

0 0 0 0 0 0 0 0 703.76294 0 0 0 0 0 0 0 0 -521222.335 -288348.556 -2814.37821 0 0 0 0 0 0 0 0 -1601168.56 -1177423.27 -6566.8825 0 0 0 0 0 0 0 0 -16175.0527

29 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 129420.82 -37685.5318 0

30 8618.38283 -363.598566 -70702.147 2731.90499 -23394.0369 4570.53646 0 0 -85477.8011 -1470.45933 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -37685.5318 305679.84 -6659.37319

31

32 33 34 35 36 0 0 -163237.161 0 0 0 0 0 -2060.03485 0 0 0 -23394.0369 0 0 -85477.8011 0 0 -4570.53646 0 0 1470.45933 0 0 1231269.05 -210634 0 0 -997241.013 0 -3839.46779 -8083.36534 0 0 7352.29667 0 0 0 149315.158 13922.003 0 0 0 0 -265.476208 -1090.7957 0 0 0 0 13922.003 458159.309 -98254.9551 0 0 0 1104.5164 3950.31576 -6398.75104 0 -997241.013 0 0 -98254.9551 2633337.42 -360418.18 -7352.29667 0 0 6398.75104 4266.33189 -9879.66875 -210634 0 0 0 0 -2820767.44 7949.756 0 0 0 0 13234.134 0 -2820767.44 0 0 -360418.18 7360100.34 0 -13234.134 0 0 9716.36844 -12657.2871 0 0 0 0 0 -5211798 0 0 0 0 0 -4178914.72 0 0 -402.150252 0 0 0 0 0 0 0 0 0 0 0 703.76294 0 0 0 0 0 0 -521222.335 0 0 0 0 0 -288348.556 0 0 0 0 0 -2814.37821 0 0 0 0 0 0 -1601168.56 0 0 0 0 0 -1177423.27 0 0 0 0 0 -6566.8825 0 0 0 0 0 0 -16175.0527 0 0 -91735.2885 0 0 0 -6659.37319 0 0 -261334.935 0 0 1563955.12 -124887 0 0 -1432408.75 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

0 0 -124887 3671502.57 0 0 0 -3546615.57 -91735.2885 0 0 0 103213.398 -11075.9594 0 0 0 -261334.935 0 0 -11075.9594 840160.68 -46527.4517 0 0 0 -1432408.75 0 0 -46527.4517 3080104.76 241975.684 0 0 0 -3546615.57 0 0 -241975.684 9000389.29

32 33 34 35 36

MATRIZ DE RIGIDEZ PORTICO EJE 5 1 1 1113357.19 2 -31307.5177 3 -1806.04936 4 1965.78489 5 0 6 0 7 -1111551.14 8 -33461.8026 9 0 10 0 11 0 12 0 13 545180.46 14 7540.65482 15 0 16 -552721.115 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 545180.46 30 7540.65482 31 0

2 -31307.5177 97260.8154 -2154.28481 6591.51991 0 0 33461.8026 32659.994 0 0 0 0 62524.4903 -381.142696 0 -62143.3476 0 0 0 0 0 0 0 0 0 0 0 0 62524.4903 -381.142696 0

3 -1806.04936 -2154.28481 116486.871 -2631.35559 -108081.02 -665.570706 0 0 -6599.8025 834.461772 0 0 7540.65482 31191.469 -17112.4417 0 -21619.6822 0 0 0 0 0 0 0 0 0 0 0 7540.65482 -12047.8953 -17112.4417

4 1965.78489 6591.51991 -2631.35559 26445.8707 665.570706 7147.53488 0 0 -834.461772 812.370318 0 0 347.79271 3559.08442 -4138.11352 0 231.236395 0 0 0 0 0 0 0 0 0 0 0 347.79271 3559.08442 -4138.11352

5

6

0 0 -108081.02 665.570706 344782.452 2738.70084 0 0 0 0 -236701.432 2073.13013 0 -17112.4417 345832.168 0 0 -328719.726 0 0 0 0 0 0 0 0 0 0 0 -17112.4417 572604.083

0 0 -665.570706 7147.53488 2738.70084 15357.9636 0 0 0 0 -2073.13013 831.811978 0 4138.11352 -5598.49583 0 0 1460.38231 0 0 0 0 0 0 0 0 0 0 0 4138.11352 4570.2066

7 -1111551.14 33461.8026 0 0 0 0 1632215.66 34621.8021 -17692.9861 1058.49955 0 0 -552721.115 0 0 538068.538 14652.5768 0 0 -502971.535 0 0 0 0 0 0 0 0 -552721.115 0 0

8 -33461.8026 32659.994 0 0 0 0 34621.8021 201347.98 -1159.99951 6591.51991 0 0 62143.3476 0 0 -7113.57385 -1375.42799 0 -53654.3458 0 38769.6383 0 0 0 0 0 0 0 62143.3476 0 0

32 33 34 35 36

0 0 0 0 -226771.916 -10168.7024 0 0 -552721.115 -62143.3476 0 0 0 0 538068.538 -7113.57385 0 0 -21619.6822 231.236395 0 0 14652.5768 -1375.42799 0 0 0 0 -328719.726 1460.38231 0 0 0 0 0 0 0 0 0 0

9

10

11

12

0 0 -6599.8025 -834.461772 0 0 -17692.9861 -1159.99951 371565.565 -1818.306 -1818.306 -2401.84211 0 -21619.6822 0 14652.5768 322379.909 -87664.1929 0 0 0 -227748.611 -128998.914 2476.49744 0 0 0 0 0 -21619.6822 0

0 0 834.461772 812.370318 0 0 1058.49955 6591.51991 -1818.306 28391.7179 2401.84211 7147.53488 0 -231.236395 0 1255.07804 3507.08388 -5874.38493 0 0 0 1343.4594 -2476.49744 967.679235 0 0 0 0 0 -231.236395 0

0 0 0 0 -236701.432 -2073.13013 0 0 -1818.306 2401.84211 1214848.07 4747.56035 0 0 -328719.726 0 -87664.1929 1410288.97 0 0 0 0 0 0 -993905.052 -759872.77 4418.84837 0 0 0 -328719.726

0 0 0 0 2073.13013 831.811978 0 0 -2401.84211 7147.53488 4747.56035 17303.8108 0 0 -1460.38231 0 5874.38493 -7699.81295 0 0 0 0 0 0 3285.81033 -4418.84837 967.679235 0 0 0 -1460.38231

13 545180.46 62524.4903 7540.65482 347.79271 0 0 -552721.115 62143.3476 0 0 0 0 425781.16 -43093.026 0 -382688.134 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -226771.916

14 7540.65482 -381.142696 31191.469 3559.08442 -17112.4417 4138.11352 0 0 -21619.6822 -231.236395 0 0 -43093.026 126159.309 -4438.62399 0 -78627.6592 0 0 0 0 0 0 0 0 0 0 0 0 0 11511.7386

15 0 0 -17112.4417 -4138.11352 345832.168 -5598.49583 0 0 0 0 -328719.726 -1460.38231 0 -4438.62399 476222.956 0 0 -471784.333 0 0 0 0 0 0 0 0 0 295865.392 0 0 0

16 -552721.115 -62143.3476 0 0 0 0 538068.538 -7113.57385 14652.5768 1255.07804 0 0 -382688.134 0 0 437096.103 -12676.8113 0 -41731.1578 0 53654.3458 0 0 0 0 0 0 38769.6383 0 0 0

17

18

0 0 -21619.6822 231.236395 0 0 14652.5768 -1375.42799 322379.909 3507.08388 -87664.1929 5874.38493 0 -78627.6592 0 -12676.8113 556288.49 -39709.2536 0 0 0 -425274.766 -227748.611 -1343.4594 0 0 0 242211.047 0 0 0

0 0 0 0 -328719.726 1460.38231 0 0 -87664.1929 -5874.38493 1410288.97 -7699.81295 0 0 -471784.333 0 -39709.2536 1868939.69 0 0 0 0 0 0 -1357446.1 -993905.052 -3285.81033 -295865.392 0 0 0

0 0 0 0 0 0 -4913508.49 -122374.592 14652.5768 1255.07804 0 0 0 0 0 0 322379.909 3507.08388 -87664.1929 5874.38493 0 0 0 0 -87664.1929 -5874.38493 1807660.17 4852.17912 0 0 -397371.199 14209.8023 0 0 -397371.199 -12551.9921 -4913508.49 122374.592 16792564.6 -134046.257

0 0 0 0 -16144460

0 0 0 0 -11481685

19

20 21 22 23 24 25 26 27 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -502971.535 0 0 0 0 0 0 0 0 -53654.3458 0 38769.6383 0 0 0 0 0 0 0 0 0 0 -227748.611 -128998.914 2476.49744 0 0 0 0 0 0 0 1343.4594 -2476.49744 967.679235 0 0 0 0 0 0 0 0 0 0 -993905.052 -759872.77 4418.84837 0 0 0 0 0 0 0 3285.81033 -4418.84837 967.679235 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 295865.392 -41731.1578 0 53654.3458 0 0 0 0 0 0 38769.6383 0 0 0 -425274.766 -227748.611 -1343.4594 0 0 0 242211.047 0 0 0 0 0 0 -1357446.1 -993905.052 -3285.81033 -295865.392 41731.1578 0 -53654.3458 0 0 0 0 0 0 0 0 502971.535 0 0 0 0 0 0 0 0 -53654.3458 0 99198.6793 0 0 0 0 0 0 0 0 0 0 425274.766 227748.611 1343.4594 0 0 0 0 0 0 0 227748.611 128998.914 -2476.49744 0 0 0 0 0 0 0 1343.4594 -2476.49744 1945.84717 0 0 0 0 0 0 0 0 0 0 1357446.1 993905.052 3285.81033 0 0 0 0 0 0 0 993905.052 759872.77 -4418.84837 0 0 0 0 0 0 0 3285.81033 -4418.84837 1945.84717 0 0 0 0 0 0 0 0 0 0 99198.6793 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 -41731.1578 0 0 0

0 0 0 0 0 0 0 0 0 0 53654.3458 0 0 0 0 0 0 0 0 0 -425274.766 -227748.611 -1343.4594 0 0 0 0 0 0 0 0 0 -1357446.1 -993905.052 -3285.81033 0 0 0 0 0 0 0 0 0 -242211.047

29 545180.46 62524.4903 7540.65482 347.79271 0 0 -552721.115 62143.3476 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 425781.16 -43093.026 0

30 7540.65482 -381.142696 -12047.8953 3559.08442 -17112.4417 4138.11352 0 0 -21619.6822 -231.236395 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -43093.026 126159.309 -4438.62399

31

32

0 0 -17112.4417 -4138.11352 572604.083 4570.2066 0 0 0 0 -328719.726 -1460.38231 -226771.916 11511.7386 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4438.62399 614302.084

0 0 0 0 -226771.916 -10168.7024 0 0 0 0 0 0 0 0 -4913508.49 -122374.592 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -138079.127

33 -552721.115 -62143.3476 0 0 0 0 538068.538 -7113.57385 14652.5768 1255.07804 0 0 0 0 0 0 0 0 -41731.1578 0 53654.3458 0 0 0 0 0 0 0 -382688.134 0 0

34

35

36

0 0 -21619.6822 231.236395 0 0 14652.5768 -1375.42799 322379.909 3507.08388 -87664.1929 5874.38493 0 0 0 0 0 0 0 0 0 -425274.766 -227748.611 -1343.4594 0 0 0 0 0 -78627.6592 0

0 0 0 0 -328719.726 1460.38231 0 0 -87664.1929 -5874.38493 1807660.17 4852.17912 0 0 -397371.199 14209.8023 0 0 0 0 0 0 0 0 -1357446.1 -993905.052 -3285.81033 0 0 0 -471784.333

0 0 0 0 0 0 0 0 0 0 -397371.199 -12551.9921 -4913508.49 122374.592 16792564.6 -134046.257 -16144460 -11481685 0 0 0 0 0 0 0 0 0 -242211.047 0 0 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

0 0 -138079.127 6848592.28 0 0 0 -6710513.15 -382688.134 0 0 0 437096.103 -12676.8113 0 0 0 -78627.6592 0 0 -12676.8113 556288.49 -39709.2536 0 0 0 -471784.333 0 0 -39709.2536 1868939.69 273985.284 0 0 0 -6710513.15 0 0 -273985.284 23128958.3

32 33 34 35 36

MATRIZ DE RIGIDEZ PORTICO EJE 1 1 2 1 1778191.56 -51940.4363 2 -51940.4363 109550.795 3 -1721.84059 -1713.90944 4 1647.98984 5079.00227 5 0 0 6 0 0 7 -1776469.72 53654.3458 8 -53654.3458 38769.6383 9 0 0 10 0 0 11 0 0 12 0 0 13 849033.718 99947.0151 14 7555.5533 -303.230131 15 0 0 16 -856589.271 -99643.785 17 0 0 18 0 0 19 0 0 20 0 0 21 0 0 22 0 0 23 0 0 24 0 0 25 0 0 26 0 0 27 0 0 28 0 0 29 849033.718 99947.0151 30 7555.5533 -303.230131 31 0 0

3 -1721.84059 -1713.90944 87170.1344 0 -74652.9154 -255.047657 0 0 -10795.3784 1315.25302 0 0 7555.5533 35995.4859 -9307.11164 0 -34243.9275 0 0 0 0 0 0 0 0 0 0 0 7555.5533 -32492.3692 -9307.11164

4 1647.98984 5079.00227 -1912.78454 21554.6898 264.794701 4855.58378 0 0 -1315.25302 937.094005 0 0 291.567434 1450.80966 -2106.8448 0 364.467703 0 0 0 0 0 0 0 0 0 0 0 291.567434 1450.80966 -2106.8448

5 0 0 -74652.9154 264.794701 691676.898 4105.72818 0 0 0 0 -617023.982 3850.68052 0 -9307.11164 806998.685 0 0 -797691.574 0 0 0 0 0 0 0 0 0 0 0 -9307.11164 962169.633

6 0 0 -255.047657 4855.58378 4105.72818 11253.6347 0 0 0 0 -3850.68052 937.094005 0 2029.29223 -4929.18743 0 0 2899.89521 0 0 0 0 0 0 0 0 0 0 0 2029.29223 399.836973

7 -1776469.72 53654.3458 0 0 0 0 2110878.38 54577.2201 -17668.5705 887.379146 0 0 -856589.271 0 0 841907.744 14681.5266 0 0 -316740.092 0 0 0 0 0 0 0 0 -856589.271 0 0

8 -53654.3458 38769.6383 0 0 0 0 54577.2201 205896.928 -922.874312 5079.00227 0 0 99643.785 0 0 -62474.3666 -1094.26526 0 -36075.1531 0 37233.3576 0 0 0 0 0 0 0 99643.785 0 0

9 0 0 -10795.3784 -1315.25302 0 0 -17668.5705 -922.874312 240705.262 -1619.97094 -1619.97094 -920.389371 0 -34243.9275 0 14681.5266 207978.798 -44598.5115 0 0 0 -143817.886 -80505.4547 1538.22471 0 0 0 0 0 -34243.9275 0

32 0 0 0 0 -155170.947 -5329.02441 0 0 0 33 -856589.271 -99643.785 0 0 0 0 841907.744 -62474.3666 14681.5266 34 0 0 -34243.9275 364.467703 0 0 14681.5266 -1094.26526 207978.798 35 0 0 0 0 -797691.574 2899.89521 0 0 -44598.5115 36 0 0 0 0 0 0 0 0 0

10 0 0 1315.25302 937.094005 0 0 887.379146 5079.00227 -1619.97094 23205.4898 955.563488 4855.58378 0 -364.467703 0 1052.17813 1275.44138 -2797.61358 0 0 0 834.461772 -1538.22471 812.370318 0 0 0 0 0 -364.467703 0

11 0 0 0 0 -617023.982 -3850.68052 0 0 -1619.97094 955.563488 1430511.35 266.209996 0 0 -797691.574 0 -44598.5115 1703569.97 0 0 0 0 0 0 -861279.881 -681751.505 3196.50114 0 0 0 -797691.574

12 0 0 0 0 3850.68052 937.094005 0 0 -920.389371 4855.58378 266.209996 12923.8764 0 0 -2899.89521 0 2694.63394 -2276.36742 0 0 0 0 0 0 2481.62868 -3196.50114 831.811978 0 0 0 -2899.89521

13 849033.718 99947.0151 7555.5533 291.567434 0 0 -856589.271 99643.785 0 0 0 0 689991.836 -43090.3901 0 -646901.446 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -155170.947

14 7555.5533 -303.230131 35995.4859 1450.80966 -9307.11164 2029.29223 0 0 -34243.9275 -364.467703 0 0 -43090.3901 169742.825 -1770.42553 0 -124882.01 0 0 0 0 0 0 0 0 0 0 0 0 0 4675.15638

15 0 0 -9307.11164 -2106.8448 806998.685 -4929.18743 0 0 0 0 -797691.574 -2899.89521 0 -1770.42553 1077293.51 0 0 -1075523.09 0 0 0 0 0 0 0 0 0 213199.485 0 0 0

16 -856589.271 -99643.785 0 0 0 0 841907.744 -62474.3666 14681.5266 1052.17813 0 0 -646901.446 0 0 680158.304 -12642.4851 0 -20614.3732 0 36075.1531 0 0 0 0 0 0 32659.994 0 0 0

17 0 0 -34243.9275 364.467703 0 0 14681.5266 -1094.26526 207978.798 1275.44138 -44598.5115 2694.63394 0 -124882.01 0 -12642.4851 421518.724 -16397.5491 0 0 0 -267596.68 -143817.886 -834.461772 0 0 0 189298.197 0 0 0

18 0 0 0 0 -797691.574 2899.89521 0 0 -44598.5115 -2797.61358 1703569.97 -2276.36742 0 0 -1075523.09 0 -16397.5491 2214395.96 0 0 0 0 0 0 -1122475.32 -861279.881 -2481.62868 -213199.485 0 0 0

19 0 0 0 0 0 0 0 -36075.1531 0 0 0 0 0 0 0 -20614.3732 0 0 20614.3732 0 -36075.1531 0 0 0 0 0 0 0 0 0 0

0 0 0 1052.17813 0 0 1275.44138 -44598.5115 2694.63394 -2797.61358 1946410.68 4004.26849 0 -242840.716 -6280.63591

0 0 -12627260 -234221.089 0 0 0 0 0 0 0 0 0 0 -242840.716 5510.00574 -12627260 234221.089 23597506.4 39412.8862

0 0 0 0 -13470032

0 0 0 -20614.3732 0 0 0 0 -10727406 0

20 0 0 0 0 0 0 -316740.092 0 0 0 0 0 0 0 0 0 0 0 0 316740.092 0 0 0 0 0 0 0 0 0 0 0

21 0 0 0 0 0 0 0 37233.3576 0 0 0 0 0 0 0 36075.1531 0 0 -36075.1531 0 89029.6784 0 0 0 0 0 0 0 0 0 0

22 0 0 0 0 0 0 0 0 -143817.886 834.461772 0 0 0 0 0 0 -267596.68 0 0 0 0 267596.68 143817.886 834.461772 0 0 0 0 0 0 0

23 0 0 0 0 0 0 0 0 -80505.4547 -1538.22471 0 0 0 0 0 0 -143817.886 0 0 0 0 143817.886 80505.4547 -1538.22471 0 0 0 0 0 0 0

24 0 0 0 0 0 0 0 0 1538.22471 812.370318 0 0 0 0 0 0 -834.461772 0 0 0 0 834.461772 -1538.22471 1650.79997 0 0 0 0 0 0 0

25 0 0 0 0 0 0 0 0 0 0 -861279.881 2481.62868 0 0 0 0 0 -1122475.32 0 0 0 0 0 0 1122475.32 861279.881 2481.62868 0 0 0 0

26 0 0 0 0 0 0 0 0 0 0 -681751.505 -3196.50114 0 0 0 0 0 -861279.881 0 0 0 0 0 0 861279.881 681751.505 -3196.50114 0 0 0 0

27 0 0 0 0 0 0 0 0 0 0 3196.50114 831.811978 0 0 0 0 0 -2481.62868 0 0 0 0 0 0 2481.62868 -3196.50114 1670.24163 0 0 0 0

28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 213199.485 32659.994 189298.197 -213199.485 0 0 0 0 0 0 0 0 0 84456.3149 0 0 0

29 849033.718 99947.0151 7555.5533 291.567434 0 0 -856589.271 99643.785 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 689991.836 -43090.3901 0

0 0 0 0 0 0 0 0 0 0 0 36075.1531 0 0 0 0 0 0 0 -646901.446 0 0 -267596.68 -143817.886 -834.461772 0 0 0 0 0 0 0 0 0 0 -1122475.32 -861279.881 -2481.62868 0 0 0 0 0 0 0 0 0 0 -189298.197 0

30 7555.5533 -303.230131 -32492.3692 1450.80966 -9307.11164 2029.29223 0 0 -34243.9275 -364.467703 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -43090.3901 169742.825 -1770.42553

31 0 0 -9307.11164 -2106.8448 962169.633 399.836973 0 0 0 0 -797691.574 -2899.89521 -155170.947 4675.15638 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1770.42553 1165530.06

32 0 0 0 0 -155170.947 -5329.02441 0 0 0 0 0 0 0 0 -12627260 -234221.089 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -88236.5448

33 -856589.271 -99643.785 0 0 0 0 841907.744 -62474.3666 14681.5266 1052.17813 0 0 0 0 0 0 0 0 -20614.3732 0 36075.1531 0 0 0 0 0 0 0 -646901.446 0 0

34 0 0 -34243.9275 364.467703 0 0 14681.5266 -1094.26526 207978.798 1275.44138 -44598.5115 2694.63394 0 0 0 0 0 0 0 0 0 -267596.68 -143817.886 -834.461772 0 0 0 0 0 -124882.01 0

35 0 0 0 0 -797691.574 2899.89521 0 0 -44598.5115 -2797.61358 1946410.68 4004.26849 0 0 -242840.716 5510.00574 0 0 0 0 0 0 0 0 -1122475.32 -861279.881 -2481.62868 0 0 0 -1075523.09

36 0 0 0 0 0 0 0 0 0 0 -242840.716 -6280.63591 -12627260 234221.089 23597506.4 39412.8862 -13470032 -10727406 0 0 0 0 0 0 0 0 0 -189298.197 0 0 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

0 -88236.5448 17059393.4 0 0 0 -16971157 0 0 0 680158.304 -12642.4851 0 0 -124882.01 0 0 -12642.4851 421518.724 -16397.5491 0 0 -1075523.09 0 0 -16397.5491 2214395.96 154507.149 0 0 -16971157 0 0 -154507.149 30595695.8

32 33 34 35 36

MATRIZ DE RIGIDEZ PORTICO EJE 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

1 309321.147 466.344253 -2328.06378 1595.41257 0 0 -306993.083 -1109.24953 0 0 0 0 154618.778 8618.38283 0 -163237.161 0 0 0 0 0 0 0 0 0 0 0 0 154618.778 8618.38283 0

2 466.344253 12060.0918 -1575.59378 5368.70891 0 0 1109.24953 937.094005 0 0 0 0 2423.63341 -363.598566 0 -2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 2423.63341 -363.598566 0

3 -2328.06378 -1575.59378 107854.376 0 -80480.714 -373.038431 0 0 -25045.5986 3308.5335 0 0 8618.38283 68083.9424 -12593.9744 0 -64108.3509 0 0 0 0 0 0 0 0 0 0 0 8618.38283 -60132.7593 -12593.9744

4 1595.41257 5368.70891 -1968.45101 25218.5358 373.038431 5505.58301 0 0 -3308.5335 2149.22336 0 0 368.172133 891.560093 -2362.57673 0 1102.8445 0 0 0 0 0 0 0 0 0 0 0 368.172133 891.560093 -2362.57673

5 0 0 -80480.714 373.038431 977907.356 9563.40927 0 0 0 0 -897426.642 9190.37084 0 -12593.9744 1140426.07 0 0 -1127832.1 0 0 0 0 0 0 0 0 0 0 0 -12593.9744 1287380.55

6 0 0 -373.038431 5505.58301 9563.40927 14878.567 0 0 0 0 -9190.37084 2149.22336 0 2362.57673 -9347.25857 0 0 6984.68184 0 0 0 0 0 0 0 0 0 0 0 2362.57673 -5051.91702

7 -306993.083 1109.24953 0 0 0 0 381035.847 1957.64619 -18147.453 859.068309 0 0 -163237.161 0 0 149315.158 13922.003 0 0 -55895.3103 0 0 0 0 0 0 0 0 -163237.161 0 0

8 -1109.24953 937.094005 0 0 0 0 1957.64619 21713.515 -848.396653 5368.70891 0 0 2060.03485 0 0 -265.476208 -1090.7957 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 2060.03485 0 0

32 0 0 0 33 -163237.161 -2060.03485 0 34 0 0 -64108.3509 35 0 0 0 36 0 0 0

0 -146954.476 -4295.34155 0 0 0 0 0 149315.158 -265.476208 1102.8445 0 0 13922.003 -1090.7957 0 -1127832.1 6984.68184 0 0 0 0 0 0 0

9 0 0 -25045.5986 -3308.5335 0 0 -18147.453 -848.396653 310755.627 -1534.21282 -1534.21282 -1119.11529 0 -64108.3509 0 13922.003 316160.822 -49713.0569 0 0 0 -216261.417 -128099.057 3752.50428 0 0 0 0 0 -64108.3509 0

10 0 0 3308.5335 2149.22336 0 0 859.068309 5368.70891 -1534.21282 29085.2413 1119.11529 5505.58301 0 -1102.8445 0 1104.5164 996.198032 -3108.65359 0 0 0 2110.78366 -3752.50428 1879.31669 0 0 0 0 0 -1102.8445 0

11 0 0 0 0 -897426.642 -9190.37084 0 0 -1534.21282 1119.11529 2007095.6 -566.246982 0 0 -1127832.1 0 -49713.0569 2378997.47 0 0 0 0 0 0 -1201452.32 -970205.436 7505.00857 0 0 0 -1127832.1

12 0 0 0 0 9190.37084 2149.22336 0 0 -1119.11529 5505.58301 -566.246982 18745.2725 0 0 -6984.68184 0 3108.65359 -1987.25969 0 0 0 0 0 0 5863.28794 -7505.00857 1879.31669 0 0 0 -6984.68184

13 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 129420.82 -37685.5318 0 -91735.2885 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -146954.476

14 8618.38283 -363.598566 68083.9424 891.560093 -12593.9744 2362.57673 0 0 -64108.3509 -1102.8445 0 0 -37685.5318 236394.131 -2707.39842 0 -196001.201 0 0 0 0 0 0 0 0 0 0 0 0 0 4241.98327

15 0 0 -12593.9744 -2362.57673 1140426.07 -9347.25857 0 0 0 0 -1127832.1 -6984.68184 0 -2707.39842 1526971.25 0 0 -1524263.85 0 0 0 0 0 0 0 0 0 4825.80302 0 0 0

16 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003 1104.5164 0 0 -91735.2885 0 0 103213.398 -11075.9594 0 -402.150252 0 703.76294 0 0 0 0 0 0 812.370318 0 0 0

17 0 0 -64108.3509 1102.8445 0 0 13922.003 -1090.7957 316160.822 996.198032 -49713.0569 3108.65359 0 -196001.201 0 -11075.9594 617262.305 -19268.3939 0 0 0 -390916.751 -216261.417 -2110.78366 0 0 0 4122.04008 0 0 0

18 0 0 0 0 -1127832.1 6984.68184 0 0 -49713.0569 -3108.65359 2378997.47 -1987.25969 0 0 -1524263.85 0 -19268.3939 3112962.02 0 0 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 -4825.80302 0 0 0

0 0 0 0 0 0 -2574124.46 -5546.24766 0 0 13922.003 1104.5164 0 0 0 0 0 0 0 0 316160.822 996.198032 -49713.0569 3108.65359 0 0 0 0 0 0 -49713.0569 -3108.65359 2605506.25 3044.42612 0 0 -226508.779 4969.1804 0 0 0 0 -226508.779 -5031.68581 -2574124.46 5546.24766 5029419.75 -3544.97282 -2642016.52 -2228786.51

19 20 21 22 23 24 25 26 27 28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -55895.3103 0 0 0 0 0 0 0 0 -703.76294 0 812.370318 0 0 0 0 0 0 0 0 0 0 -216261.417 -128099.057 3752.50428 0 0 0 0 0 0 0 2110.78366 -3752.50428 1879.31669 0 0 0 0 0 0 0 0 0 0 -1201452.32 -970205.436 7505.00857 0 0 0 0 0 0 0 5863.28794 -7505.00857 1879.31669 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4825.80302 -402.150252 0 703.76294 0 0 0 0 0 0 812.370318 0 0 0 -390916.751 -216261.417 -2110.78366 0 0 0 4122.04008 0 0 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 -4825.80302 402.150252 0 -703.76294 0 0 0 0 0 0 0 0 55895.3103 0 0 0 0 0 0 0 0 -703.76294 0 1650.79997 0 0 0 0 0 0 0 0 0 0 390916.751 216261.417 2110.78366 0 0 0 0 0 0 0 216261.417 128099.057 -3752.50428 0 0 0 0 0 0 0 2110.78366 -3752.50428 3866.7055 0 0 0 0 0 0 0 0 0 0 1569429.78 1201452.32 5863.28794 0 0 0 0 0 0 0 1201452.32 970205.436 -7505.00857 0 0 0 0 0 0 0 5863.28794 -7505.00857 3866.7055 0 0 0 0 0 0 0 0 0 0 1650.79997 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 -402.150252 0 0 0

0 0 0 0 0

0 0 0 0 0 0 0 0 703.76294 0 0 0 0 0 0 0 0 -390916.751 -216261.417 -2110.78366 0 0 0 0 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 0 0 0 0 0 0 0 0 -4122.04008

29 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 129420.82 -37685.5318 0

30 8618.38283 -363.598566 -60132.7593 891.560093 -12593.9744 2362.57673 0 0 -64108.3509 -1102.8445 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -37685.5318 236394.131 -2707.39842

31 0 0 -12593.9744 -2362.57673 1287380.55 -5051.91702 0 0 0 0 -1127832.1 -6984.68184 -146954.476 4241.98327 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2707.39842 1609768.9

32 0 0 0 0 -146954.476 -4295.34155 0 0 0 0 0 0 0 0 -2574124.46 -5546.24766 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -82797.6526

33 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003 1104.5164 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 0 0 0 -91735.2885 0 0

34 0 0 -64108.3509 1102.8445 0 0 13922.003 -1090.7957 316160.822 996.198032 -49713.0569 3108.65359 0 0 0 0 0 0 0 0 0 -390916.751 -216261.417 -2110.78366 0 0 0 0 0 -196001.201 0

35 0 0 0 0 -1127832.1 6984.68184 0 0 -49713.0569 -3108.65359 2605506.25 3044.42612 0 0 -226508.779 4969.1804 0 0 0 0 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 0 0 0 -1524263.85

36 0 0 0 0 0 0 0 0 0 0 -226508.779 -5031.68581 -2574124.46 5546.24766 5029419.75 -3544.97282 -2642016.52 -2228786.51 0 0 0 0 0 0 0 0 0 -4122.04008 0 0 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

0 0 -82797.6526 3149366.93 0 0 0 -3066569.28 -91735.2885 0 0 0 103213.398 -11075.9594 0 0 0 -196001.201 0 0 -11075.9594 617262.305 -19268.3939 0 0 0 -1524263.85 0 0 -19268.3939 3112962.02 142509.545 0 0 0 -3066569.28 0 0 -142509.545 5851095.35

32 33 34 35 36

MATRIZ DE RIGIDEZ PORTICO EJE 3 1 1 309321.14718379 2 466.3442527111 3 -2328.06378435 4 1595.4125746929 5 0 6 0 7 -306993.0833994 8 -1109.249532234 9 0 10 0 11 0 12 0 13 154618.77833767 14 8618.3828258941 15 0 16 -163237.1611636 17 0 18 0 19 0 20 0 21 0 22 0 23 0 24 0 25 0 26 0 27 0 28 0 29 154618.77833767 30 8618.3828258941 31 0

2 466.3442527111 12060.09183509 -1575.59378495 5368.70890572 0 0 1109.249532234 937.0940048313 0 0 0 0 2423.633411334 -363.598565757 0 -2060.03484558 0 0 0 0 0 0 0 0 0 0 0 0 2423.633411334 -363.598565757 0

3 -2328.06378435 -1575.59378495 107854.3764496 0 -80480.7140423 -373.038430632 0 0 -25045.598623 3308.533503696 0 0 8618.382825894 68083.94243598 -12593.9744053 0 -64108.3508566 0 0 0 0 0 0 0 0 0 0 0 8618.382825894 -60132.7592773 -12593.9744053

4 1595.412574693 5368.70890572 -1968.45100532 25218.53575928 373.0384306316 5505.58301052 0 0 -3308.5335037 2149.223364001 0 0 368.1721326214 891.56009348 -2362.57672733 0 1102.844501232 0 0 0 0 0 0 0 0 0 0 0 368.1721326214 891.56009348 -2362.57672733

5 0 0 -80480.7140423 373.0384306316 977907.3561703 9563.409274232 0 0 0 0 -897426.642128 9190.370843601 0 -12593.9744053 1140426.072809 0 0 -1127832.0984 0 0 0 0 0 0 0 0 0 0 0 -12593.9744053 1287380.549199

6 0 0 -373.038430632 5505.58301052 9563.409274232 14878.56700649 0 0 0 0 -9190.3708436 2149.223364001 0 2362.576727334 -9347.25856847 0 0 6984.681841136 0 0 0 0 0 0 0 0 0 0 0 2362.576727334 -5051.91702122

32 0 0 0 0 33 -163237.1611636 -2060.03484558 0 0 34 0 0 -64108.3508566 1102.844501232 35 0 0 0 0 36 0 0 0 0

-146954.47639 -4295.34154725 0 0 0 0 -1127832.0984 6984.681841136 0 0

7 -306993.083399 1109.249532234 0 0 0 0 381035.8467549 1957.646185666 -18147.4530487 859.06830945 0 0 -163237.161164 0 0 149315.1581371 13922.00302644 0 0 -55895.3103067 0 0 0 0 0 0 0 0 -163237.161164 0 0

8 -1109.24953223 937.0940048313 0 0 0 0 1957.646185666 21713.5149568 -848.396653432 5368.70890572 0 0 2060.034845578 0 0 -265.476207967 -1090.79569727 0 -703.762940341 0 812.3703182958 0 0 0 0 0 0 0 2060.034845578 0 0

9 0 0 -25045.598623 -3308.5335037 0 0 -18147.4530487 -848.396653432 310755.6265713 -1534.21282036 -1534.21282036 -1119.11529189 0 -64108.3508566 0 13922.00302644 316160.8215225 -49713.0568628 0 0 0 -216261.416829 -128099.056885 3752.504284683 0 0 0 0 0 -64108.3508566 0

10 0 0 3308.533503696 2149.223364001 0 0 859.06830945 5368.70890572 -1534.21282036 29085.24125769 1119.115291895 5505.58301052 0 -1102.84450123 0 1104.516397864 996.1980318305 -3108.6535886 0 0 0 2110.783660134 -3752.50428468 1879.316687507 0 0 0 0 0 -1102.84450123 0

11 0 0 0 0 -897426.642128 -9190.3708436 0 0 -1534.21282036 1119.115291895 2007095.595908 -566.246982341 0 0 -1127832.0984 0 -49713.0568628 2378997.470986 0 0 0 0 0 0 -1201452.31572 -970205.435765 7505.008569365 0 0 0 -1127832.0984

12 0 0 0 0 9190.370843601 2149.223364001 0 0 -1119.11529189 5505.58301052 -566.246982341 18745.2725049 0 0 -6984.68184114 0 3108.653588597 -1987.25969228 0 0 0 0 0 0 5863.287944817 -7505.00856937 1879.316687507 0 0 0 -6984.68184114

13 154618.7783377 2423.633411334 8618.382825894 368.1721326214 0 0 -163237.161164 2060.034845578 0 0 0 0 129420.8202465 -37685.531788 0 -91735.2884585 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -146954.47639

0 0 0 0 0 0 149315.1581371 -265.476207967 13922.00302644 1104.516397864 0 0 13922.00302644 -1090.79569727 316160.8215225 996.1980318305 -49713.0568628 3108.653588597 0 0 -49713.0568628 -3108.6535886 2605506.250384 3044.426120216 0 0 0 0 -226508.779398 -5031.68581249

0 0 0 0 -2574124.4645

14 8618.382825894 -363.598565757 68083.94243598 891.56009348 -12593.9744053 2362.576727334 0 0 -64108.3508566 -1102.84450123 0 0 -37685.531788 236394.1311122 -2707.39841688 0 -196001.200907 0 0 0 0 0 0 0 0 0 0 0 0 0 4241.98326716

15 0 0 -12593.9744053 -2362.57672733 1140426.072809 -9347.25856847 0 0 0 0 -1127832.0984 -6984.68184114 0 -2707.39841688 1526971.248921 0 0 -1524263.8505 0 0 0 0 0 0 0 0 0 4825.803019479 0 0 0

16 -163237.161164 -2060.03484558 0 0 0 0 149315.1581371 -265.476207967 13922.00302644 1104.516397864 0 0 -91735.2884585 0 0 103213.3981581 -11075.959448 0 -402.150251623 0 703.7629403407 0 0 0 0 0 0 812.3703182958 0 0 0

17 0 0 -64108.3509 1102.8445 0 0 13922.003 -1090.7957 316160.822 996.198032 -49713.0569 3108.65359 0 -196001.201 0 -11075.9594 617262.305 -19268.3939 0 0 0 -390916.751 -216261.417 -2110.78366 0 0 0 4122.04008 0 0 0

18 0 0 0 0 -1127832.1 6984.68184 0 0 -49713.0569 -3108.65359 2378997.47 -1987.25969 0 0 -1524263.85 0 -19268.3939 3112962.02 0 0 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 -4825.80302 0 0 0

19 20 21 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -55895.3103 0 0 -703.76294 0 812.370318 0 0 0 0 -216261.417 0 0 0 2110.78366 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 -390916.751 0 0 0 0 402.150252 0 -703.76294 0 0 55895.3103 0 0 -703.76294 0 1650.79997 0 0 0 0 390916.751 0 0 0 216261.417 0 0 0 2110.78366 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 -2574124.4645 -5546.24766117 0 0 0 0 0 0 0 0 -402.150252 0 0 0 0 0 0 0 -226508.779398 4969.180398673 0 0 0 5546.24766117 5029419.753869 -3544.97281664 -2642016.52 -2228786.51 0

0 0 0 0 0

0 0 703.76294 0 0 -390916.751 0 0 0 0

23 0 0 0 0 0 0 0 0 -128099.057 -3752.50428 0 0 0 0 0 0 -216261.417 0 0 0 0 216261.417 128099.057 -3752.50428 0 0 0 0 0 0 0

24 0 0 0 0 0 0 0 0 3752.50428 1879.31669 0 0 0 0 0 0 -2110.78366 0 0 0 0 2110.78366 -3752.50428 3866.7055 0 0 0 0 0 0 0

25 0 0 0 0 0 0 0 0 0 0 -1201452.32 5863.28794 0 0 0 0 0 -1569429.78 0 0 0 0 0 0 1569429.78 1201452.32 5863.28794 0 0 0 0

26 0 0 0 0 0 0 0 0 0 0 -970205.436 -7505.00857 0 0 0 0 0 -1201452.32 0 0 0 0 0 0 1201452.32 970205.436 -7505.00857 0 0 0 0

27 0 0 0 0 0 0 0 0 0 0 7505.00857 1879.31669 0 0 0 0 0 -5863.28794 0 0 0 0 0 0 5863.28794 -7505.00857 3866.7055 0 0 0 0

28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4825.80302 812.370318 4122.04008 -4825.80302 0 0 0 0 0 0 0 0 0 1650.79997 0 0 0

29 154618.778 2423.63341 8618.38283 368.172133 0 0 -163237.161 2060.03485 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 129420.82 -37685.5318 0

30 8618.38283 -363.598566 -60132.7593 891.560093 -12593.9744 2362.57673 0 0 -64108.3509 -1102.8445 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -37685.5318 236394.131 -2707.39842

31 0 0 -12593.9744 -2362.57673 1287380.55 -5051.91702 0 0 0 0 -1127832.1 -6984.68184 -146954.476 4241.98327 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2707.39842 1609768.9

32 0 0 0 0 -146954.476 -4295.34155 0 0 0 0 0 0 0 0 -2574124.46 -5546.24766 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -82797.6526

0 0 0 0 0 0 0 0 -82797.6526 3149366.93 0 0 0 0 0 0 -91735.2885 0 0 0 -216261.417 -2110.78366 0 0 0 0 0 -196001.201 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 0 0 0 -1524263.85 0 0 0 0 0 0 -4122.04008 0 0 0 -3066569.28

33 -163237.161 -2060.03485 0 0 0 0 149315.158 -265.476208 13922.003 1104.5164 0 0 0 0 0 0 0 0 -402.150252 0 703.76294 0 0 0 0 0 0 0 -91735.2885 0 0

34 0 0 -64108.3509 1102.8445 0 0 13922.003 -1090.7957 316160.822 996.198032 -49713.0569 3108.65359 0 0 0 0 0 0 0 0 0 -390916.751 -216261.417 -2110.78366 0 0 0 0 0 -196001.201 0

35 0 0 0 0 -1127832.1 6984.68184 0 0 -49713.0569 -3108.65359 2605506.25 3044.42612 0 0 -226508.779 4969.1804 0 0 0 0 0 0 0 0 -1569429.78 -1201452.32 -5863.28794 0 0 0 -1524263.85

36 0 0 0 0 0 0 0 0 0 0 -226508.779 -5031.68581 -2574124.46 5546.24766 5029419.75 -3544.97282 -2642016.52 -2228786.51 0 0 0 0 0 0 0 0 0 -4122.04008 0 0 0

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

0 0 0 -3066569.28 103213.398 -11075.9594 0 0 -11075.9594 617262.305 -19268.3939 0 0 -19268.3939 3112962.02 142509.545 0 0 -142509.545 5851095.35

32 33 34 35 36

PORTICO EJE 5 ELEMENTO

11

19 20 21 33 41731.1578 0 -53654.3458 -41731.1578 0 502971.535 0 0 -53654.3458 0 99198.6793 53654.3458 -41731.1578 0 53654.3458 41731.1578 0 -502971.535 0 0 -53654.3458 0 38769.6383 53654.3458

[K] =

ELEMENTO

[K] =

1 2 3 4 5 6 7 8 9 10 11 12 13 14

1

33 12676.8113 -14652.5768 1375.42799 -12676.8113 14652.5768 1255.07804

7 -14652.5768 17692.9861 1159.99951 14652.5768 -17692.9861 1058.49955

8 1375.42799 1159.99951 12804.5005 -1375.42799 -1159.99951 6591.51991

34 -12676.8113 14652.5768 -1375.42799 12676.8113 -14652.5768 -1255.07804

1 1113357.19 -31307.5177 -1806.04936 1965.78489 0 0 -1111551.14 -33461.8026 0 0 0 0 545180.46 7540.65482

2 -31307.5177 97260.8154 -2154.28481 6591.51991 0 0 33461.8026 32659.994 0 0 0 0 62524.4903 -381.142696

3 -1806.04936 -2154.28481 116486.871 0 -108081.02 -665.570706 0 0 -6599.8025 834.461772 0 0 7540.65482 31191.469

4 1965.78489 6591.51991 26445.8707 665.570706 7147.53488 0 0 -834.461772 812.370318 0 0 347.79271 3559.08442

15 0 0 -17112.4417 -4138.11352 16 -552721.115 -62143.3476 0 0 17 0 0 -21619.6822 231.236395 18 0 0 0 0 19 0 0 0 0 20 0 0 0 0 21 0 0 0 0 22 0 0 0 0 23 0 0 0 0 24 0 0 0 0 25 0 0 0 0 26 0 0 0 0 27 0 0 0 0 28 0 0 0 0 29 545180.46 62524.4903 7540.65482 347.79271 30 7540.65482 -381.142696 -12047.8953 3559.08442 31 0 0 -17112.4417 -4138.11352 32 0 0 0 0 33 -552721.115 -62143.3476 0 0 34 0 0 -21619.6822 231.236395 35 0 0 0 0 36 0 0 0 0

7 0 -502971.535 0 0 502971.535 0

8 -53654.3458 0 38769.6383 53654.3458 0 99198.6793

9 14652.5768 -17692.9861 -1159.99951 -14652.5768 17692.9861 -1058.49955

10 1255.07804 1058.49955 6591.51991 -1255.07804 -1058.49955 11107.3487

33 7 8 34 9 10

5 0 0 -108081.02 665.570706 344782.452 2738.70084 0 0 0 0 -236701.432 2073.13013 0 -17112.4417

6 0 0 -665.570706 7147.53488 2738.70084 15357.9636 0 0 0 0 -2073.13013 831.811978 0 4138.11352

7 -1111551.14 33461.8026 0 0 0 0 1632215.66 34621.8021 -17692.9861 1058.49955 0 0 -552721.115 0

19 20 21 33 7 8

[K] =

[K] =

8 -33461.8026 32659.994 0 0 0 0 34621.8021 201347.98 -1159.99951 6591.51991 0 0 62143.3476 0

9 0 0 -6599.8025 -834.461772 0 0 -17692.9861 -1159.99951 371565.565 -1818.306 -1818.306 -2401.84211 0 -21619.6822

33 382688.134 552721.115 -62143.3476 -382688.134 -552721.115 -62143.3476

34 39709.2536 87664.1929 5874.38493 -39709.2536 -87664.1929 5874.38493

10 0 0 834.461772 812.370318 0 0 1058.49955 6591.51991 -1818.306 28391.7179 2401.84211 7147.53488 0 -231.236395

345832.168 0 0 -328719.726 0 0 0 0 0 0 0 0 0 0 0 -17112.4417 572604.083 -226771.916 0 0 -328719.726 0

-5598.49583 0 0 1460.38231 0 0 0 0 0 0 0 0 0 0 0 4138.11352 4570.2066 -10168.7024 0 0 1460.38231 0

0 538068.538 14652.5768 0 0 -502971.535 0 0 0 0 0 0 0 0 -552721.115 0 0 0 538068.538 14652.5768 0 0

0 -7113.57385 -1375.42799 0 -53654.3458 0 38769.6383 0 0 0 0 0 0 0 62143.3476 0 0 0 -7113.57385 -1375.42799 0 0

0 14652.5768 322379.909 -87664.1929 0 0 0 -227748.611 -128998.914 2476.49744 0 0 0 0 0 -21619.6822 0 0 14652.5768 322379.909 -87664.1929 0

0 1255.07804 3507.08388 -5874.38493 0 0 0 1343.4594 -2476.49744 967.679235 0 0 0 0 0 -231.236395 0 0 1255.07804 3507.08388 -5874.38493 0

ELEMENTO

7 552721.115 1111551.14 33461.8026 -552721.115 -1111551.14 33461.8026

ELEMENTO

9 87664.1929 218273.863 -2401.84211 -87664.1929 -218273.863 -2401.84211

7

8 -62143.3476 33461.8026 84456.3149 62143.3476 -33461.8026 32659.994

29 -382688.134 -552721.115 62143.3476 382688.134 552721.115 62143.3476

1 -552721.115 -1111551.14 -33461.8026 552721.115 1111551.14 -33461.8026

2 -62143.3476 33461.8026 32659.994 62143.3476 -33461.8026 84456.3149

33 7 8 29 1 2

35 -39709.2536 -87664.1929 -5874.38493 39709.2536 87664.1929 -5874.38493

11 -87664.1929 -218273.863 2401.84211 87664.1929 218273.863 2401.84211

12 5874.38493 -2401.84211 7147.53488 -5874.38493 2401.84211 13687.722

34 9 10 35 11 12

2

10 5874.38493 -2401.84211 13687.722 -5874.38493 2401.84211 7147.53488

PORTICO EJE 5 11 0 0 0 0 -236701.432 -2073.13013 0 0 -1818.306 2401.84211 1214848.07 4747.56035 0 0

12 0 0 0 0 2073.13013 831.811978 0 0 -2401.84211 7147.53488 4747.56035 17303.8108 0 0

13 545180.46 62524.4903 7540.65482 347.79271 0 0 -552721.115 62143.3476 0 0 0 0 425781.16 -43093.026

14 7540.65482 -381.142696 31191.469 3559.08442 -17112.4417 4138.11352 0 0 -21619.6822 -231.236395 0 0 -43093.026 126159.309

15 0 0 -17112.4417 -4138.11352 345832.168 -5598.49583 0 0 0 0 -328719.726 -1460.38231 0 -4438.62399

16 -552721.115 -62143.3476 0 0 0 0 538068.538 -7113.57385 14652.5768 1255.07804 0 0 -382688.134 0

-328719.726 0 -87664.1929 1410288.97 0 0 0 0 0 0 -993905.052 -759872.77 4418.84837 0 0 0 -328719.726 0 0 -87664.1929 1807660.17 -397371.199

-1460.38231 0 -4438.62399 476222.956 0 0 -382688.134 0 0 437096.103 5874.38493 0 -78627.6592 0 -12676.8113 -7699.81295 0 0 -471784.333 0 0 0 0 0 -41731.1578 0 0 0 0 0 0 0 0 0 53654.3458 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3285.81033 0 0 0 0 -4418.84837 0 0 0 0 967.679235 0 0 0 0 0 0 0 295865.392 38769.6383 0 0 0 0 0 0 0 0 0 0 -1460.38231 -226771.916 11511.7386 0 0 0 0 0 -4913508.49 -122374.592 0 0 0 0 0 5874.38493 0 0 0 0 4852.17912 0 0 -397371.199 14209.8023 -12551.9921 -4913508.49 122374.592 16792564.6 -134046.257

ELEMENTO

[K] =

22 425274.766 227748.611 1343.4594 -425274.766 -227748.611 1343.4594

23 227748.611 128998.914 -2476.49744 -227748.611 -128998.914 -2476.49744

ELEMENTO

[K] =

17 0 0 -21619.6822 231.236395 0 0 14652.5768 -1375.42799 322379.909 3507.08388 -87664.1929 5874.38493 0 -78627.6592

29 43093.026 -7540.65482 381.142696 -43093.026 7540.65482 347.79271

1 -7540.65482 1806.04936 2154.28481 7540.65482 -1806.04936 1965.78489

12

24 1343.4594 -2476.49744 1945.84717 -1343.4594 2476.49744 967.679235

34 -425274.766 -227748.611 -1343.4594 425274.766 227748.611 -1343.4594

4

2 381.142696 2154.28481 12804.5005 -381.142696 -2154.28481 6591.51991

30 -43093.026 7540.65482 -381.142696 43093.026 -7540.65482 -347.79271

18 19 20 21 22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -328719.726 0 0 0 0 1460.38231 0 0 0 0 0 0 -502971.535 0 0 0 -53654.3458 0 38769.6383 0 -87664.1929 0 0 0 -227748.611 -5874.38493 0 0 0 1343.4594 1410288.97 0 0 0 0 -7699.81295 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 -12676.8113 556288.49 -39709.2536 0 0 0 -425274.766 -227748.611 -1343.4594 0 0 0 242211.047 0 0 0 0 0 0 0 -16144460

-471784.333 0 -39709.2536 1868939.69 0 0 0 0 0 0 -1357446.1 -993905.052 -3285.81033 -295865.392 0 0 0 0 0 0 0 -11481685

0 0 0 0 -41731.1578 0 53654.3458 0 0 0 0 -425274.766 0 0 0 0 41731.1578 0 -53654.3458 0 0 502971.535 0 0 -53654.3458 0 99198.6793 0 0 0 0 425274.766 0 0 0 227748.611 0 0 0 1343.4594 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -41731.1578 0 53654.3458 0 0 0 0 -425274.766 0 0 0 0 0 0 0 0

9 -227748.611 -128998.914 2476.49744 227748.611 128998.914 2476.49744

10 1343.4594 -2476.49744 967.679235 -1343.4594 2476.49744 1945.84717

3 7540.65482 -1806.04936 -2154.28481 -7540.65482 1806.04936 -1965.78489

4 347.79271 1965.78489 6591.51991 -347.79271 -1965.78489 11107.3487

22 23 24 34 9 10

29 1 2 30 3 4

[K] =

[K] =

23 24 25 26 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -128998.914 2476.49744 0 0 0 -2476.49744 967.679235 0 0 0 0 0 -993905.052 -759872.77 4418.84837 0 0 3285.81033 -4418.84837 967.679235 0 0 0 0 0 0 0 0 0 0

34 78627.6592 21619.6822 231.236395 -78627.6592 -21619.6822 231.236395

30 4438.62399 17112.4417 4138.11352 -4438.62399 -17112.4417 4138.11352

28 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 -227748.611 0 0 0 0 227748.611 128998.914 -2476.49744 0 0 0 0 0 0 0 0 0 -227748.611 0 0

0 0 -1343.4594 0 0 0 0 1343.4594 -2476.49744 1945.84717 0 0 0 0 0 0 0 0 0 -1343.4594 0 0

0 0 0 -1357446.1 0 0 0 0 0 0 1357446.1 993905.052 3285.81033 0 0 0 0 0 0 0 -1357446.1 0

0 0 0 -993905.052 0 0 0 0 0 0 993905.052 759872.77 -4418.84837 0 0 0 0 0 0 0 -993905.052 0

0 0 0 -3285.81033 0 0 0 0 0 0 3285.81033 -4418.84837 1945.84717 0 0 0 0 0 0 0 -3285.81033 0

295865.392 38769.6383 242211.047 -295865.392 0 0 0 0 0 0 0 0 0 99198.6793 0 0 0 0 0 0 0 -242211.047

ELEMENTO

9 21619.6822 6599.8025 -834.461772 -21619.6822 -6599.8025 -834.461772

ELEMENTO

8

10 231.236395 -834.461772 1650.79997 -231.236395 834.461772 812.370318

30 -78627.6592 -21619.6822 -231.236395 78627.6592 21619.6822 -231.236395

3 -21619.6822 -6599.8025 834.461772 21619.6822 6599.8025 834.461772

4 231.236395 -834.461772 812.370318 -231.236395 834.461772 1650.79997

34 9 10 30 3 4

5 -17112.4417 -108081.02 665.570706 17112.4417 108081.02 665.570706

6 4138.11352 -665.570706 7147.53488 -4138.11352 665.570706 13687.722

30 3 4 31 5 6

5

3 17112.4417 108081.02 -665.570706 -17112.4417 -108081.02 -665.570706

4 4138.11352 -665.570706 13687.722 -4138.11352 665.570706 7147.53488

31 -4438.62399 -17112.4417 -4138.11352 4438.62399 17112.4417 -4138.11352

29 545180.46 62524.4903 7540.65482 347.79271 0 0 -552721.115 62143.3476 0 0 0 0 0 0

30 7540.65482 -381.142696 -12047.8953 3559.08442 -17112.4417 4138.11352 0 0 -21619.6822 -231.236395 0 0 0 0

31 32 33 34 0 0 -552721.115 0 0 0 -62143.3476 0 -17112.4417 0 0 -21619.6822 -4138.11352 0 0 231.236395 572604.083 -226771.916 0 0 4570.2066 -10168.7024 0 0 0 0 538068.538 14652.5768 0 0 -7113.57385 -1375.42799 0 0 14652.5768 322379.909 0 0 1255.07804 3507.08388 -328719.726 0 0 -87664.1929 -1460.38231 0 0 5874.38493 -226771.916 0 0 0 11511.7386 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 425781.16 -43093.026 0 0 -382688.134 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 -43093.026 126159.309 -4438.62399 0 0 -78627.6592 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4438.62399 614302.084 -138079.127 0 0 -471784.333 0

-4913508.49 -122374.592 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -138079.127 6848592.28 0 0 0 -6710513.15

0 0 0 0 -41731.1578 0 53654.3458 0 0 0 0 0 0 0 -382688.134 0 0 0 437096.103 -12676.8113 0 0

0 0 0 0 0 0 0 -425274.766 -227748.611 -1343.4594 0 0 0 0 0 -78627.6592 0 0 -12676.8113 556288.49 -39709.2536 0

ELEMENTO

[K] =

25 1357446.1 993905.052 3285.81033 -1357446.1 -993905.052 3285.81033

26 993905.052 759872.77 -4418.84837 -993905.052 -759872.77 -4418.84837

ELEMENTO

[K] =

35 0 0 0 0 -328719.726 1460.38231 0 0 -87664.1929 -5874.38493 1807660.17 4852.17912 0 0

36 0 0 0 0 0 0 0 0 0 0 -397371.199 -12551.9921 -4913508.49 122374.592

31 138079.127 226771.916 10168.7024 -138079.127 -226771.916 11511.7386

1 2 3 4 5 6 7 8 9 10 11 12 13 14

5 226771.916 417375.056 -5680.17362 -226771.916 -417375.056 -6430.38523

13

27 3285.81033 -4418.84837 1945.84717 -3285.81033 4418.84837 967.679235

35 -1357446.1 -993905.052 -3285.81033 1357446.1 993905.052 -3285.81033

6

6 10168.7024 -5680.17362 15622.508 -10168.7024 5680.17362 9737.67975

32 -138079.127 -226771.916 -10168.7024 138079.127 226771.916 -11511.7386

-397371.199 16792564.6 14209.8023 -134046.257 0 -16144460 0 -11481685 0 0 0 0 0 0 0 0 0 0 0 0 -1357446.1 0 -993905.052 0 -3285.81033 0 0 -242211.047 0 0 0 0 -471784.333 0 0 -6710513.15 0+ -39709.2536 0 1868939.69 273985.284 -273985.284 23128958.3

15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

11 -993905.052 -759872.77 4418.84837 993905.052 759872.77 4418.84837

12 3285.81033 -4418.84837 967.679235 -3285.81033 4418.84837 1945.84717

13 -226771.916 -417375.056 5680.17362 226771.916 417375.056 6430.38523

14 11511.7386 -6430.38523 9737.67975 -11511.7386 6430.38523 18971.9668

25 26 27 35 11 12

31 5 6 32 13 14

[K] =

[K] =

35 471784.333 328719.726 1460.38231 -471784.333 -328719.726 1460.38231

35 273985.284 397371.199 12551.9921 -273985.284 -397371.199 14209.8023

ELEMENTO

11 328719.726 236701.432 -2073.13013 -328719.726 -236701.432 -2073.13013

ELEMENTO

11 397371.199 637279.988 -8063.46326 -397371.199 -637279.988 -9128.44897

9

12 1460.38231 -2073.13013 1670.24163 -1460.38231 2073.13013 831.811978

31 -471784.333 -328719.726 -1460.38231 471784.333 328719.726 -1460.38231

5 -328719.726 -236701.432 2073.13013 328719.726 236701.432 2073.13013

6 1460.38231 -2073.13013 831.811978 -1460.38231 2073.13013 1670.24163

35 11 12 31 5 6

36 -273985.284 -397371.199 -12551.9921 273985.284 397371.199 -14209.8023

15 -397371.199 -637279.988 8063.46326 397371.199 637279.988 9128.44897

16 14209.8023 -9128.44897 9737.67975 -14209.8023 9128.44897 18971.9668

35 11 12 36 15 16

3

12 12551.9921 -8063.46326 15622.508 -12551.9921 8063.46326 9737.67975

ELEMENTO

[K] =

17 16144459.8 11481684.9 242211.047 -16144460 -11481685 242211.047

18 11481684.9 11518877.8 -295865.392 -11481685 -11518878 -295865.392

ELEMENTO

[K] =

36 6710513.15 4913508.49 122374.592 -6710513.15 -4913508.49 122374.592

15 4913508.49 4625964.94 -151056.137 -4913508.49 -4625964.94 -151056.137

14

28 242211.047 -295865.392 99198.6793 -242211.047 295865.392 38769.6383

36 -16144460 -11481685 -242211.047 16144459.8 11481684.9 -242211.047

10

16 122374.592 -151056.137 84456.3149 -122374.592 151056.137 32659.994

32 -6710513.15 -4913508.49 -122374.592 6710513.15 4913508.49 -122374.592

15 -11481685 -11518878 295865.392 11481684.9 11518877.8 295865.392

16 242211.047 -295865.392 38769.6383 -242211.047 295865.392 99198.6793

17 18 28 36 15 16

13 -4913508.49 -4625964.94 151056.137 4913508.49 4625964.94 151056.137

14 122374.592 -151056.137 32659.994 -122374.592 151056.137 84456.3149

36 15 16 32 13 14