Transcript
Page 1: Examen Parcial de Analisis Estructural 2

1 2 3 4 5

Nº DE NUDOS 12 Nº DE ELEMENTOS

NUDOCOORDENADAS

X Y Z1 2.5 -2.5 02 2.5 2.5 03 -2.5 2.5 04 -2.5 -2.5 05 2 -2 46 2 2 47 -2 2 48 -2 -2 49 1.5 -1.5 8

10 1.5 1.5 811 -1.5 1.5 812 -1.5 -1.5 8

Page 2: Examen Parcial de Analisis Estructural 2

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 1

27750 -27750-27750 27750

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 2

27750 -27750-27750 27750

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 3

27750 -27750-27750 27750

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 4

27750 -27750-27750 27750

Page 3: Examen Parcial de Analisis Estructural 2

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 5

37000 -37000-37000 37000

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 6

37000 -37000-37000 37000

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 7

37000 -37000-37000 37000

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 8

37000 -37000-37000 37000

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 9

Page 4: Examen Parcial de Analisis Estructural 2

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 10

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 11

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 12

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 13

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

Page 5: Examen Parcial de Analisis Estructural 2

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 14

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 15

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 16

34711.8004561718 -34711.8004561718-34711.8004561718 34711.8004561718

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 17

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 18

Page 6: Examen Parcial de Analisis Estructural 2

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 19

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 20

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 21

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 22

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

Page 7: Examen Parcial de Analisis Estructural 2

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 23

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 24

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 25

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 26

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 27

Page 8: Examen Parcial de Analisis Estructural 2

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 28

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 29

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 30

3185.00071013354 -3185.00071013354-3185.00071013354 3185.00071013354

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 31

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

Page 9: Examen Parcial de Analisis Estructural 2

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 32

3604.40460377382 -3604.40460377382-3604.40460377382 3604.40460377382

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 33

3401.5822495275 -3401.5822495275-3401.5822495275 3401.5822495275

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 34

3401.5822495275 -3401.5822495275-3401.5822495275 3401.5822495275

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 35

4535.44299937 -4535.44299937-4535.44299937 4535.44299937

MATRIZ DE RIGIDEZ DEL ELEMENTO S.C.L 36

Page 10: Examen Parcial de Analisis Estructural 2

4535.44299937 -4535.44299937-4535.44299937 4535.44299937

Page 11: Examen Parcial de Analisis Estructural 2

6 7 8 9 10

36

ELEMENTODIRECCIÓN

ROTACIÓNnudo i nudo j

1 5 6 02 6 7 03 7 8 04 5 8 05 9 10 06 10 11 07 11 12 08 9 12 09 1 5 0

10 5 9 011 2 6 012 6 10 013 3 7 014 7 11 015 4 8 016 8 12 017 1 6 018 2 5 019 5 10 020 6 9 021 2 7 022 3 6 023 6 11 024 7 10 025 3 8 026 4 7 027 7 12 028 8 11 029 4 5 030 1 8 031 8 9 032 5 12 033 5 7 0

Page 12: Examen Parcial de Analisis Estructural 2

34 6 8 035 9 11 036 10 12 0

MATRIZ TRANSFORMACION DEL ELEMENTO

0 1 0 00 0 0 0

MATRIZ TRANSFORMACION DEL ELEMENTO

-1 0 0 00 0 0 -1

MATRIZ TRANSFORMACION DEL ELEMENTO

0 -1 0 00 0 0 0

MATRIZ TRANSFORMACION DEL ELEMENTO

-1 0 0 00 0 0 -1

Page 13: Examen Parcial de Analisis Estructural 2

MATRIZ TRANSFORMACION DEL ELEMENTO

0 1 0 00 0 0 0

MATRIZ TRANSFORMACION DEL ELEMENTO

-1 0 0 00 0 0 -1

MATRIZ TRANSFORMACION DEL ELEMENTO

0 -1 0 00 0 0 0

MATRIZ TRANSFORMACION DEL ELEMENTO

-1 0 0 00 0 0 -1

MATRIZ TRANSFORMACION DEL ELEMENTO

Page 14: Examen Parcial de Analisis Estructural 2

-0.12309149097933 0.12309149097933 0.984731927835 00 0 0 -0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.12309149097933 0.12309149097933 0.984731927835 00 0 0 -0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.12309149097933 -0.12309149097933 0.984731927835 00 0 0 -0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.12309149097933 -0.12309149097933 0.984731927835 00 0 0 -0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

0.12309149097933 -0.12309149097933 0.984731927835 00 0 0 0.123091490979333

Page 15: Examen Parcial de Analisis Estructural 2

MATRIZ TRANSFORMACION DEL ELEMENTO

0.12309149097933 -0.12309149097933 0.984731927835 00 0 0 0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

0.12309149097933 0.12309149097933 0.984731927835 00 0 0 0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

0.12309149097933 0.12309149097933 0.984731927835 00 0 0 0.123091490979333

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.08276058886024 0.74484529974213 0.662084710882 00 0 0 -0.082760588860237

MATRIZ TRANSFORMACION DEL ELEMENTO

Page 16: Examen Parcial de Analisis Estructural 2

-0.08276058886024 -0.74484529974213 0.662084710882 00 0 0 -0.082760588860237

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.09365858115817 0.65561006810719 0.749268649265 00 0 0 -0.093658581158169

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.09365858115817 -0.65561006810719 0.749268649265 00 0 0 -0.093658581158169

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.74484529974213 -0.08276058886024 0.662084710882 00 0 0 -0.744845299742131

MATRIZ TRANSFORMACION DEL ELEMENTO

0.74484529974213 -0.08276058886024 0.662084710882 00 0 0 0.744845299742131

Page 17: Examen Parcial de Analisis Estructural 2

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.65561006810719 -0.09365858115817 0.749268649265 00 0 0 -0.655610068107186

MATRIZ TRANSFORMACION DEL ELEMENTO

0.65561006810719 -0.09365858115817 0.749268649265 00 0 0 0.655610068107186

MATRIZ TRANSFORMACION DEL ELEMENTO

0.08276058886024 -0.74484529974213 0.662084710882 00 0 0 0.082760588860237

MATRIZ TRANSFORMACION DEL ELEMENTO

0.08276058886024 0.74484529974213 0.662084710882 00 0 0 0.082760588860237

MATRIZ TRANSFORMACION DEL ELEMENTO

Page 18: Examen Parcial de Analisis Estructural 2

0.09365858115817 -0.65561006810719 0.749268649265 00 0 0 0.093658581158169

MATRIZ TRANSFORMACION DEL ELEMENTO

0.09365858115817 0.65561006810719 0.749268649265 00 0 0 0.093658581158169

MATRIZ TRANSFORMACION DEL ELEMENTO

0.74484529974213 0.08276058886024 0.662084710882 00 0 0 0.744845299742131

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.74484529974213 0.08276058886024 0.662084710882 00 0 0 -0.744845299742131

MATRIZ TRANSFORMACION DEL ELEMENTO

0.65561006810719 0.09365858115817 0.749268649265 00 0 0 0.655610068107186

Page 19: Examen Parcial de Analisis Estructural 2

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.65561006810719 0.09365858115817 0.749268649265 00 0 0 -0.655610068107186

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.70710678118655 0.70710678118655 0 00 0 0 -0.707106781186548

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.70710678118655 -0.70710678118655 0 00 0 0 -0.707106781186548

MATRIZ TRANSFORMACION DEL ELEMENTO

-0.70710678118655 0.70710678118655 0 00 0 0 -0.707106781186548

MATRIZ TRANSFORMACION DEL ELEMENTO

Page 20: Examen Parcial de Analisis Estructural 2

-0.70710678118655 -0.70710678118655 0 00 0 0 -0.707106781186548

Page 21: Examen Parcial de Analisis Estructural 2

11 12 13 14 15

LONGITUDVECTOR UNITARIO

U14 0 1 04 -1 0 04 0 -1 04 -1 0 03 0 1 03 -1 0 03 0 -1 03 -1 0 0

4.06201920231798 -0.12309149097933 0.12309149097933 0.984731927834664.06201920231798 -0.12309149097933 0.12309149097933 0.984731927834664.06201920231798 -0.12309149097933 -0.12309149097933 0.984731927834664.06201920231798 -0.12309149097933 -0.12309149097933 0.984731927834664.06201920231798 0.12309149097933 -0.12309149097933 0.984731927834664.06201920231798 0.12309149097933 -0.12309149097933 0.984731927834664.06201920231798 0.12309149097933 0.12309149097933 0.984731927834664.06201920231798 0.12309149097933 0.12309149097933 0.984731927834666.04152298679729 -0.08276058886024 0.74484529974213 0.662084710881896.04152298679729 -0.08276058886024 -0.74484529974213 0.662084710881895.33853912601566 -0.09365858115817 0.65561006810719 0.749268649265365.33853912601566 -0.09365858115817 -0.65561006810719 0.749268649265366.04152298679729 -0.74484529974213 -0.08276058886024 0.662084710881896.04152298679729 0.74484529974213 -0.08276058886024 0.662084710881895.33853912601566 -0.65561006810719 -0.09365858115817 0.749268649265365.33853912601566 0.65561006810719 -0.09365858115817 0.749268649265366.04152298679729 0.08276058886024 -0.74484529974213 0.662084710881896.04152298679729 0.08276058886024 0.74484529974213 0.662084710881895.33853912601566 0.09365858115817 -0.65561006810719 0.749268649265365.33853912601566 0.09365858115817 0.65561006810719 0.749268649265366.04152298679729 0.74484529974213 0.08276058886024 0.662084710881896.04152298679729 -0.74484529974213 0.08276058886024 0.662084710881895.33853912601566 0.65561006810719 0.09365858115817 0.749268649265365.33853912601566 -0.65561006810719 0.09365858115817 0.749268649265365.65685424949238 -0.70710678118655 0.70710678118655 0

Page 22: Examen Parcial de Analisis Estructural 2

5.65685424949238 -0.70710678118655 -0.70710678118655 04.24264068711929 -0.70710678118655 0.70710678118655 04.24264068711929 -0.70710678118655 -0.70710678118655 0

1 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 01 0 1

0000

2 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -10 0 0

0000

3 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0-1 0 -1

0000

4 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -10 0 0

000

Page 23: Examen Parcial de Analisis Estructural 2

0

5 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 01 0 1

0000

6 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -10 0 0

0000

7 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0-1 0 -1

0000

8 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -10 0 0

0000

9 MATRIZ DE TRANSFORMACION TRANSPUESTA

Page 24: Examen Parcial de Analisis Estructural 2

0 0 -0.123091490979330.12309149097933 0.98473192783466 0.12309149097933

0.98473192783466000

10 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.123091490979330.12309149097933 0.98473192783466 0.12309149097933

0.98473192783466000

11 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.12309149097933-0.12309149097933 0.98473192783466 -0.12309149097933

0.98473192783466000

12 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.12309149097933-0.12309149097933 0.98473192783466 -0.12309149097933

0.98473192783466000

13 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.12309149097933-0.12309149097933 0.98473192783466 -0.12309149097933

0.9847319278346600

Page 25: Examen Parcial de Analisis Estructural 2

0

14 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.12309149097933-0.12309149097933 0.98473192783466 -0.12309149097933

0.98473192783466000

15 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.123091490979330.12309149097933 0.98473192783466 0.12309149097933

0.98473192783466000

16 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.123091490979330.12309149097933 0.98473192783466 0.12309149097933

0.98473192783466000

17 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.082760588860240.74484529974213 0.66208471088189 0.74484529974213

0.66208471088189000

18 MATRIZ DE TRANSFORMACION TRANSPUESTA

Page 26: Examen Parcial de Analisis Estructural 2

0 0 -0.08276058886024-0.74484529974213 0.66208471088189 -0.74484529974213

0.66208471088189000

19 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.093658581158170.65561006810719 0.74926864926536 0.65561006810719

0.74926864926536000

20 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.09365858115817-0.65561006810719 0.74926864926536 -0.65561006810719

0.74926864926536000

21 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.74484529974213-0.08276058886024 0.66208471088189 -0.08276058886024

0.66208471088189000

22 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.74484529974213-0.08276058886024 0.66208471088189 -0.08276058886024

0.6620847108818900

Page 27: Examen Parcial de Analisis Estructural 2

0

23 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.65561006810719-0.09365858115817 0.74926864926536 -0.09365858115817

0.74926864926536000

24 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.65561006810719-0.09365858115817 0.74926864926536 -0.09365858115817

0.74926864926536000

25 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.08276058886024-0.74484529974213 0.66208471088189 -0.74484529974213

0.66208471088189000

26 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.082760588860240.74484529974213 0.66208471088189 0.74484529974213

0.66208471088189000

27 MATRIZ DE TRANSFORMACION TRANSPUESTA

Page 28: Examen Parcial de Analisis Estructural 2

0 0 0.09365858115817-0.65561006810719 0.74926864926536 -0.65561006810719

0.74926864926536000

28 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.093658581158170.65561006810719 0.74926864926536 0.65561006810719

0.74926864926536000

29 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.744845299742130.08276058886024 0.66208471088189 0.08276058886024

0.66208471088189000

30 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.744845299742130.08276058886024 0.66208471088189 0.08276058886024

0.66208471088189000

31 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 0.655610068107190.09365858115817 0.74926864926536 0.09365858115817

0.7492686492653600

Page 29: Examen Parcial de Analisis Estructural 2

0

32 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.655610068107190.09365858115817 0.74926864926536 0.09365858115817

0.74926864926536000

33 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.707106781186550.70710678118655 0 0.70710678118655

0000

34 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.70710678118655-0.70710678118655 0 -0.70710678118655

0000

35 MATRIZ DE TRANSFORMACION TRANSPUESTA

0 0 -0.707106781186550.70710678118655 0 0.70710678118655

0000

36 MATRIZ DE TRANSFORMACION TRANSPUESTA

Page 30: Examen Parcial de Analisis Estructural 2

0 0 -0.70710678118655-0.70710678118655 0 -0.70710678118655

0000

Page 31: Examen Parcial de Analisis Estructural 2

16 17 18 19 20

ESECCIÓN

forma base / d altura / tw radio / bf20000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.12 0.015 0.12520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 PERFIL I 0.17 0.015 0.1520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.0175

Page 32: Examen Parcial de Analisis Estructural 2

20000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.017520000000 CIRCULAR ---- ---- 0.0175

MATRIZ DE TRANSFORMACION TRANSPUESTA 1

0 130 140 150 161 170 18

MATRIZ DE TRANSFORMACION TRANSPUESTA 2

0 160 170 18-1 190 200 21

MATRIZ DE TRANSFORMACION TRANSPUESTA 3

0 190 200 210 22-1 230 24

MATRIZ DE TRANSFORMACION TRANSPUESTA 4

0 130 140 15-1 220 23

Page 33: Examen Parcial de Analisis Estructural 2

0 24

MATRIZ DE TRANSFORMACION TRANSPUESTA 5

0 250 260 270 281 290 30

MATRIZ DE TRANSFORMACION TRANSPUESTA 6

0 280 290 30-1 310 320 33

MATRIZ DE TRANSFORMACION TRANSPUESTA 7

0 310 320 330 34-1 350 36

MATRIZ DE TRANSFORMACION TRANSPUESTA 8

0 250 260 27-1 340 350 36

MATRIZ DE TRANSFORMACION TRANSPUESTA 9

Page 34: Examen Parcial de Analisis Estructural 2

0 10 20 3

-0.12309149097933 130.123091490979333 140.984731927834662 15

MATRIZ DE TRANSFORMACION TRANSPUESTA 10

0 130 140 15

-0.12309149097933 250.123091490979333 260.984731927834662 27

MATRIZ DE TRANSFORMACION TRANSPUESTA 11

0 40 50 6

-0.12309149097933 16-0.12309149097933 170.984731927834662 18

MATRIZ DE TRANSFORMACION TRANSPUESTA 12

0 160 170 18

-0.12309149097933 28-0.12309149097933 290.984731927834662 30

MATRIZ DE TRANSFORMACION TRANSPUESTA 13

0 70 80 9

0.123091490979333 19-0.12309149097933 20

Page 35: Examen Parcial de Analisis Estructural 2

0.984731927834662 21

MATRIZ DE TRANSFORMACION TRANSPUESTA 14

0 190 200 21

0.123091490979333 31-0.12309149097933 320.984731927834662 33

MATRIZ DE TRANSFORMACION TRANSPUESTA 15

0 100 110 12

0.123091490979333 220.123091490979333 230.984731927834662 24

MATRIZ DE TRANSFORMACION TRANSPUESTA 16

0 220 230 24

0.123091490979333 340.123091490979333 350.984731927834662 36

MATRIZ DE TRANSFORMACION TRANSPUESTA 17

0 10 20 3

-0.08276058886024 160.744845299742131 170.662084710881894 18

MATRIZ DE TRANSFORMACION TRANSPUESTA 18

Page 36: Examen Parcial de Analisis Estructural 2

0 40 50 6

-0.08276058886024 13-0.74484529974213 140.662084710881894 15

MATRIZ DE TRANSFORMACION TRANSPUESTA 19

0 130 140 15

-0.09365858115817 280.655610068107186 290.749268649265355 30

MATRIZ DE TRANSFORMACION TRANSPUESTA 20

0 160 170 18

-0.09365858115817 25-0.65561006810719 260.749268649265355 27

MATRIZ DE TRANSFORMACION TRANSPUESTA 21

0 40 50 6

-0.74484529974213 19-0.08276058886024 200.662084710881894 21

MATRIZ DE TRANSFORMACION TRANSPUESTA 22

0 70 80 9

0.744845299742131 16-0.08276058886024 17

Page 37: Examen Parcial de Analisis Estructural 2

0.662084710881894 18

MATRIZ DE TRANSFORMACION TRANSPUESTA 23

0 160 170 18

-0.65561006810719 31-0.09365858115817 320.749268649265355 33

MATRIZ DE TRANSFORMACION TRANSPUESTA 24

0 190 200 21

0.655610068107186 28-0.09365858115817 290.749268649265355 30

MATRIZ DE TRANSFORMACION TRANSPUESTA 25

0 70 80 9

0.082760588860237 22-0.74484529974213 230.662084710881894 24

MATRIZ DE TRANSFORMACION TRANSPUESTA 26

0 100 110 12

0.082760588860237 190.744845299742131 200.662084710881894 21

MATRIZ DE TRANSFORMACION TRANSPUESTA 27

Page 38: Examen Parcial de Analisis Estructural 2

0 190 200 21

0.093658581158169 34-0.65561006810719 350.749268649265355 36

MATRIZ DE TRANSFORMACION TRANSPUESTA 28

0 220 230 24

0.093658581158169 310.655610068107186 320.749268649265355 33

MATRIZ DE TRANSFORMACION TRANSPUESTA 29

0 100 110 12

0.744845299742131 130.082760588860237 140.662084710881894 15

MATRIZ DE TRANSFORMACION TRANSPUESTA 30

0 10 20 3

-0.74484529974213 220.082760588860237 230.662084710881894 24

MATRIZ DE TRANSFORMACION TRANSPUESTA 31

0 220 230 24

0.655610068107186 250.093658581158169 26

Page 39: Examen Parcial de Analisis Estructural 2

0.749268649265355 27

MATRIZ DE TRANSFORMACION TRANSPUESTA 32

0 130 140 15

-0.65561006810719 340.093658581158169 350.749268649265355 36

MATRIZ DE TRANSFORMACION TRANSPUESTA 33

0 130 140 15

-0.70710678118655 190.707106781186548 20

0 21

MATRIZ DE TRANSFORMACION TRANSPUESTA 34

0 160 170 18

-0.70710678118655 22-0.70710678118655 23

0 24

MATRIZ DE TRANSFORMACION TRANSPUESTA 35

0 250 260 27

-0.70710678118655 310.707106781186548 32

0 33

MATRIZ DE TRANSFORMACION TRANSPUESTA 36

Page 40: Examen Parcial de Analisis Estructural 2

0 280 290 30

-0.70710678118655 34-0.70710678118655 35

0 36

Page 41: Examen Parcial de Analisis Estructural 2

21 22 23 24 25

SECCIÓNA

Coeficientetf Dilatación

0.015 0.005550.015 0.005550.015 0.005550.015 0.005550.015 0.005550.015 0.005550.015 0.005550.015 0.005550.015 0.00705 0.0000120.015 0.00705 0.0000120.015 0.00705 0.0000120.015 0.00705 0.0000120.015 0.00705 0.0000120.015 0.00705 0.0000120.015 0.00705 0.0000120.015 0.00705 0.000012

---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012

Page 42: Examen Parcial de Analisis Estructural 2

---- 9.62E-04 0.000012---- 9.62E-04 0.000012---- 9.62E-04 0.000012

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 113 14 15 16 170 0 0 0 00 27750 0 0 -277500 0 0 0 00 0 0 0 00 -27750 0 0 277500 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 216 17 18 19 20

27750 0 0 -27750 00 0 0 0 00 0 0 0 0

-27750 0 0 27750 00 0 0 0 00 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 319 20 21 22 230 0 0 0 00 27750 0 0 -277500 0 0 0 00 0 0 0 00 -27750 0 0 277500 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 413 14 15 22 23

27750 0 0 -27750 00 0 0 0 00 0 0 0 0

-27750 0 0 27750 00 0 0 0 0

Page 43: Examen Parcial de Analisis Estructural 2

0 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 525 26 27 28 290 0 0 0 00 37000 0 0 -370000 0 0 0 00 0 0 0 00 -37000 0 0 370000 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 628 29 30 31 32

37000 0 0 -37000 00 0 0 0 00 0 0 0 0

-37000 0 0 37000 00 0 0 0 00 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 731 32 33 34 350 0 0 0 00 37000 0 0 -370000 0 0 0 00 0 0 0 00 -37000 0 0 370000 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 825 26 27 34 35

37000 0 0 -37000 00 0 0 0 00 0 0 0 0

-37000 0 0 37000 00 0 0 0 00 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 91 2 3 13 14

Page 44: Examen Parcial de Analisis Estructural 2

525.936370548058 -525.936370548058 -4207.49096438446 -525.936370548058 525.936370548058-525.936370548058 525.936370548058 4207.49096438446 525.936370548058 -525.936370548058-4207.49096438446 4207.49096438446 33659.9277150757 4207.49096438446 -4207.49096438446-525.936370548058 525.936370548058 4207.49096438446 525.936370548058 -525.936370548058525.936370548058 -525.936370548058 -4207.49096438446 -525.936370548058 525.9363705480584207.49096438446 -4207.49096438446 -33659.9277150757 -4207.49096438446 4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 1013 14 15 25 26

525.936370548058 -525.936370548058 -4207.49096438446 -525.936370548058 525.936370548058-525.936370548058 525.936370548058 4207.49096438446 525.936370548058 -525.936370548058-4207.49096438446 4207.49096438446 33659.9277150757 4207.49096438446 -4207.49096438446-525.936370548058 525.936370548058 4207.49096438446 525.936370548058 -525.936370548058525.936370548058 -525.936370548058 -4207.49096438446 -525.936370548058 525.9363705480584207.49096438446 -4207.49096438446 -33659.9277150757 -4207.49096438446 4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 114 5 6 16 17

525.936370548058 525.936370548058 -4207.49096438446 -525.936370548058 -525.936370548058525.936370548058 525.936370548058 -4207.49096438446 -525.936370548058 -525.936370548058-4207.49096438446 -4207.49096438446 33659.9277150757 4207.49096438446 4207.49096438446-525.936370548058 -525.936370548058 4207.49096438446 525.936370548058 525.936370548058-525.936370548058 -525.936370548058 4207.49096438446 525.936370548058 525.9363705480584207.49096438446 4207.49096438446 -33659.9277150757 -4207.49096438446 -4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 1216 17 18 28 29

525.936370548058 525.936370548058 -4207.49096438446 -525.936370548058 -525.936370548058525.936370548058 525.936370548058 -4207.49096438446 -525.936370548058 -525.936370548058-4207.49096438446 -4207.49096438446 33659.9277150757 4207.49096438446 4207.49096438446-525.936370548058 -525.936370548058 4207.49096438446 525.936370548058 525.936370548058-525.936370548058 -525.936370548058 4207.49096438446 525.936370548058 525.9363705480584207.49096438446 4207.49096438446 -33659.9277150757 -4207.49096438446 -4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 137 8 9 19 20

525.936370548058 -525.936370548058 4207.49096438446 -525.936370548058 525.936370548058-525.936370548058 525.936370548058 -4207.49096438446 525.936370548058 -525.9363705480584207.49096438446 -4207.49096438446 33659.9277150757 -4207.49096438446 4207.49096438446-525.936370548058 525.936370548058 -4207.49096438446 525.936370548058 -525.936370548058525.936370548058 -525.936370548058 4207.49096438446 -525.936370548058 525.936370548058

Page 45: Examen Parcial de Analisis Estructural 2

-4207.49096438446 4207.49096438446 -33659.9277150757 4207.49096438446 -4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 1419 20 21 31 32

525.936370548058 -525.936370548058 4207.49096438446 -525.936370548058 525.936370548058-525.936370548058 525.936370548058 -4207.49096438446 525.936370548058 -525.9363705480584207.49096438446 -4207.49096438446 33659.9277150757 -4207.49096438446 4207.49096438446-525.936370548058 525.936370548058 -4207.49096438446 525.936370548058 -525.936370548058525.936370548058 -525.936370548058 4207.49096438446 -525.936370548058 525.936370548058-4207.49096438446 4207.49096438446 -33659.9277150757 4207.49096438446 -4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 1510 11 12 22 23

525.936370548058 525.936370548058 4207.49096438446 -525.936370548058 -525.936370548058525.936370548058 525.936370548058 4207.49096438446 -525.936370548058 -525.9363705480584207.49096438446 4207.49096438446 33659.9277150757 -4207.49096438446 -4207.49096438446-525.936370548058 -525.936370548058 -4207.49096438446 525.936370548058 525.936370548058-525.936370548058 -525.936370548058 -4207.49096438446 525.936370548058 525.936370548058-4207.49096438446 -4207.49096438446 -33659.9277150757 4207.49096438446 4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 1622 23 24 34 35

525.936370548058 525.936370548058 4207.49096438446 -525.936370548058 -525.936370548058525.936370548058 525.936370548058 4207.49096438446 -525.936370548058 -525.9363705480584207.49096438446 4207.49096438446 33659.9277150757 -4207.49096438446 -4207.49096438446-525.936370548058 -525.936370548058 -4207.49096438446 525.936370548058 525.936370548058-525.936370548058 -525.936370548058 -4207.49096438446 525.936370548058 525.936370548058-4207.49096438446 -4207.49096438446 -33659.9277150757 4207.49096438446 4207.49096438446

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 171 2 3 16 17

21.8150733570791 -196.335660213712 -174.520586856633 -21.8150733570791 196.335660213712-196.335660213712 1767.0209419234 1570.68528170969 196.335660213712 -1767.0209419234-174.520586856633 1570.68528170969 1396.16469485306 174.520586856633 -1570.68528170969-21.8150733570791 196.335660213712 174.520586856633 21.8150733570791 -196.335660213712196.335660213712 -1767.0209419234 -1570.68528170969 -196.335660213712 1767.0209419234174.520586856633 -1570.68528170969 -1396.16469485306 -174.520586856633 1570.68528170969

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 184 5 6 13 14

Page 46: Examen Parcial de Analisis Estructural 2

21.8150733570791 196.335660213712 -174.520586856633 -21.8150733570791 -196.335660213712196.335660213712 1767.0209419234 -1570.68528170969 -196.335660213712 -1767.0209419234-174.520586856633 -1570.68528170969 1396.16469485306 174.520586856633 1570.68528170969-21.8150733570791 -196.335660213712 174.520586856633 21.8150733570791 196.335660213712-196.335660213712 -1767.0209419234 1570.68528170969 196.335660213712 1767.0209419234174.520586856633 1570.68528170969 -1396.16469485306 -174.520586856633 -1570.68528170969

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 1913 14 15 28 29

31.61758424363 -221.32308970541 -252.94067394904 -31.61758424363 221.32308970541-221.32308970541 1549.26162793787 1770.58471764328 221.32308970541 -1549.26162793787-252.94067394904 1770.58471764328 2023.52539159232 252.94067394904 -1770.58471764328-31.61758424363 221.32308970541 252.94067394904 31.61758424363 -221.32308970541221.32308970541 -1549.26162793787 -1770.58471764328 -221.32308970541 1549.26162793787252.94067394904 -1770.58471764328 -2023.52539159232 -252.94067394904 1770.58471764328

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2016 17 18 25 26

31.61758424363 221.32308970541 -252.94067394904 -31.61758424363 -221.32308970541221.32308970541 1549.26162793787 -1770.58471764328 -221.32308970541 -1549.26162793787-252.94067394904 -1770.58471764328 2023.52539159232 252.94067394904 1770.58471764328-31.61758424363 -221.32308970541 252.94067394904 31.61758424363 221.32308970541

-221.32308970541 -1549.26162793787 1770.58471764328 221.32308970541 1549.26162793787252.94067394904 1770.58471764328 -2023.52539159232 -252.94067394904 -1770.58471764328

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 214 5 6 19 20

1767.0209419234 196.335660213712 -1570.68528170969 -1767.0209419234 -196.335660213712196.335660213712 21.8150733570791 -174.520586856633 -196.335660213712 -21.8150733570791-1570.68528170969 -174.520586856633 1396.16469485306 1570.68528170969 174.520586856633-1767.0209419234 -196.335660213712 1570.68528170969 1767.0209419234 196.335660213712

-196.335660213712 -21.8150733570791 174.520586856633 196.335660213712 21.81507335707911570.68528170969 174.520586856633 -1396.16469485306 -1570.68528170969 -174.520586856633

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 227 8 9 16 17

1767.0209419234 -196.335660213712 1570.68528170969 -1767.0209419234 196.335660213712-196.335660213712 21.8150733570791 -174.520586856633 196.335660213712 -21.81507335707911570.68528170969 -174.520586856633 1396.16469485306 -1570.68528170969 174.520586856633-1767.0209419234 196.335660213712 -1570.68528170969 1767.0209419234 -196.335660213712196.335660213712 -21.8150733570791 174.520586856633 -196.335660213712 21.8150733570791

Page 47: Examen Parcial de Analisis Estructural 2

-1570.68528170969 174.520586856633 -1396.16469485306 1570.68528170969 -174.520586856633

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2316 17 18 31 32

1549.26162793787 221.32308970541 -1770.58471764328 -1549.26162793787 -221.32308970541221.32308970541 31.61758424363 -252.94067394904 -221.32308970541 -31.61758424363

-1770.58471764328 -252.94067394904 2023.52539159232 1770.58471764328 252.94067394904-1549.26162793787 -221.32308970541 1770.58471764328 1549.26162793787 221.32308970541-221.32308970541 -31.61758424363 252.94067394904 221.32308970541 31.617584243631770.58471764328 252.94067394904 -2023.52539159232 -1770.58471764328 -252.94067394904

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2419 20 21 28 29

1549.26162793787 -221.32308970541 1770.58471764328 -1549.26162793787 221.32308970541-221.32308970541 31.61758424363 -252.94067394904 221.32308970541 -31.617584243631770.58471764328 -252.94067394904 2023.52539159232 -1770.58471764328 252.94067394904-1549.26162793787 221.32308970541 -1770.58471764328 1549.26162793787 -221.32308970541221.32308970541 -31.61758424363 252.94067394904 -221.32308970541 31.61758424363

-1770.58471764328 252.94067394904 -2023.52539159232 1770.58471764328 -252.94067394904

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 257 8 9 22 23

21.8150733570791 -196.335660213712 174.520586856633 -21.8150733570791 196.335660213712-196.335660213712 1767.0209419234 -1570.68528170969 196.335660213712 -1767.0209419234174.520586856633 -1570.68528170969 1396.16469485306 -174.520586856633 1570.68528170969-21.8150733570791 196.335660213712 -174.520586856633 21.8150733570791 -196.335660213712196.335660213712 -1767.0209419234 1570.68528170969 -196.335660213712 1767.0209419234-174.520586856633 1570.68528170969 -1396.16469485306 174.520586856633 -1570.68528170969

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2610 11 12 19 20

21.8150733570791 196.335660213712 174.520586856633 -21.8150733570791 -196.335660213712196.335660213712 1767.0209419234 1570.68528170969 -196.335660213712 -1767.0209419234174.520586856633 1570.68528170969 1396.16469485306 -174.520586856633 -1570.68528170969-21.8150733570791 -196.335660213712 -174.520586856633 21.8150733570791 196.335660213712-196.335660213712 -1767.0209419234 -1570.68528170969 196.335660213712 1767.0209419234-174.520586856633 -1570.68528170969 -1396.16469485306 174.520586856633 1570.68528170969

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2719 20 21 34 35

Page 48: Examen Parcial de Analisis Estructural 2

31.61758424363 -221.32308970541 252.94067394904 -31.61758424363 221.32308970541-221.32308970541 1549.26162793787 -1770.58471764328 221.32308970541 -1549.26162793787252.94067394904 -1770.58471764328 2023.52539159232 -252.94067394904 1770.58471764328-31.61758424363 221.32308970541 -252.94067394904 31.61758424363 -221.32308970541221.32308970541 -1549.26162793787 1770.58471764328 -221.32308970541 1549.26162793787-252.94067394904 1770.58471764328 -2023.52539159232 252.94067394904 -1770.58471764328

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2822 23 24 31 32

31.61758424363 221.32308970541 252.94067394904 -31.61758424363 -221.32308970541221.32308970541 1549.26162793787 1770.58471764328 -221.32308970541 -1549.26162793787252.94067394904 1770.58471764328 2023.52539159232 -252.94067394904 -1770.58471764328-31.61758424363 -221.32308970541 -252.94067394904 31.61758424363 221.32308970541

-221.32308970541 -1549.26162793787 -1770.58471764328 221.32308970541 1549.26162793787-252.94067394904 -1770.58471764328 -2023.52539159232 252.94067394904 1770.58471764328

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 2910 11 12 13 14

1767.0209419234 196.335660213712 1570.68528170969 -1767.0209419234 -196.335660213712196.335660213712 21.8150733570791 174.520586856633 -196.335660213712 -21.81507335707911570.68528170969 174.520586856633 1396.16469485306 -1570.68528170969 -174.520586856633-1767.0209419234 -196.335660213712 -1570.68528170969 1767.0209419234 196.335660213712

-196.335660213712 -21.8150733570791 -174.520586856633 196.335660213712 21.8150733570791-1570.68528170969 -174.520586856633 -1396.16469485306 1570.68528170969 174.520586856633

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 301 2 3 22 23

1767.0209419234 -196.335660213712 -1570.68528170969 -1767.0209419234 196.335660213712-196.335660213712 21.8150733570791 174.520586856633 196.335660213712 -21.8150733570791-1570.68528170969 174.520586856633 1396.16469485306 1570.68528170969 -174.520586856633-1767.0209419234 196.335660213712 1570.68528170969 1767.0209419234 -196.335660213712196.335660213712 -21.8150733570791 -174.520586856633 -196.335660213712 21.81507335707911570.68528170969 -174.520586856633 -1396.16469485306 -1570.68528170969 174.520586856633

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 3122 23 24 25 26

1549.26162793787 221.32308970541 1770.58471764328 -1549.26162793787 -221.32308970541221.32308970541 31.61758424363 252.94067394904 -221.32308970541 -31.61758424363

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Page 49: Examen Parcial de Analisis Estructural 2

-1770.58471764328 -252.94067394904 -2023.52539159232 1770.58471764328 252.94067394904

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 3213 14 15 34 35

1549.26162793787 -221.32308970541 -1770.58471764328 -1549.26162793787 221.32308970541-221.32308970541 31.61758424363 252.94067394904 221.32308970541 -31.61758424363

-1770.58471764328 252.94067394904 2023.52539159232 1770.58471764328 -252.94067394904-1549.26162793787 221.32308970541 1770.58471764328 1549.26162793787 -221.32308970541221.32308970541 -31.61758424363 -252.94067394904 -221.32308970541 31.61758424363

1770.58471764328 -252.94067394904 -2023.52539159232 -1770.58471764328 252.94067394904

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 3313 14 15 19 20

1700.79112476375 -1700.79112476375 0 -1700.79112476375 1700.79112476375-1700.79112476375 1700.79112476375 0 1700.79112476375 -1700.79112476375

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0 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 3416 17 18 22 23

1700.79112476375 1700.79112476375 0 -1700.79112476375 -1700.791124763751700.79112476375 1700.79112476375 0 -1700.79112476375 -1700.79112476375

0 0 0 0 0-1700.79112476375 -1700.79112476375 0 1700.79112476375 1700.79112476375-1700.79112476375 -1700.79112476375 0 1700.79112476375 1700.79112476375

0 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 3525 26 27 31 32

2267.721499685 -2267.721499685 0 -2267.721499685 2267.721499685-2267.721499685 2267.721499685 0 2267.721499685 -2267.721499685

0 0 0 0 0-2267.721499685 2267.721499685 0 2267.721499685 -2267.7214996852267.721499685 -2267.721499685 0 -2267.721499685 2267.721499685

0 0 0 0 0

MATRIZ RIGIDEZ DEL ELEMENTO S.C.G 3628 29 30 34 35

Page 50: Examen Parcial de Analisis Estructural 2

2267.721499685 2267.721499685 0 -2267.721499685 -2267.7214996852267.721499685 2267.721499685 0 -2267.721499685 -2267.721499685

0 0 0 0 0-2267.721499685 -2267.721499685 0 2267.721499685 2267.721499685-2267.721499685 -2267.721499685 0 2267.721499685 2267.721499685

0 0 0 0 0

Page 51: Examen Parcial de Analisis Estructural 2

26 27 28 29 30

Page 52: Examen Parcial de Analisis Estructural 2

18 10 1 2314.772385828540 2 -918.6076909754810 3 -5952.696832950790 4 00 5 00 6 0

7 08 09 0

21 10 00 11 00 12 00 13 -525.9363705480580 14 525.9363705480580 15 4207.490964384460 16 -21.8150733570791

17 196.33566021371218 174.52058685663319 0

24 20 00 21 00 22 -1767.02094192340 23 196.3356602137120 24 1570.685281709690 25 00 26 0

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24 30 00 31 00 32 00 33 00 34 00 35 0

Page 53: Examen Parcial de Analisis Estructural 2

0 36 0

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Page 54: Examen Parcial de Analisis Estructural 2

4207.49096438446-4207.49096438446-33659.9277150757-4207.490964384464207.4909643844633659.9277150757

274207.49096438446-4207.49096438446-33659.9277150757-4207.490964384464207.4909643844633659.9277150757

184207.490964384464207.49096438446-33659.9277150757-4207.49096438446-4207.4909643844633659.9277150757

304207.490964384464207.49096438446-33659.9277150757-4207.49096438446-4207.4909643844633659.9277150757

21-4207.490964384464207.49096438446-33659.92771507574207.49096438446-4207.49096438446

Page 55: Examen Parcial de Analisis Estructural 2

33659.9277150757

33-4207.490964384464207.49096438446-33659.92771507574207.49096438446-4207.4909643844633659.9277150757

24-4207.49096438446-4207.49096438446-33659.92771507574207.490964384464207.4909643844633659.9277150757

36-4207.49096438446-4207.49096438446-33659.92771507574207.490964384464207.4909643844633659.9277150757

18174.520586856633-1570.68528170969-1396.16469485306-174.5205868566331570.685281709691396.16469485306

15

Page 56: Examen Parcial de Analisis Estructural 2

174.5205868566331570.68528170969-1396.16469485306-174.520586856633-1570.685281709691396.16469485306

30252.94067394904

-1770.58471764328-2023.52539159232-252.940673949041770.584717643282023.52539159232

27252.94067394904

1770.58471764328-2023.52539159232-252.94067394904

-1770.584717643282023.52539159232

211570.68528170969174.520586856633-1396.16469485306-1570.68528170969-174.5205868566331396.16469485306

18-1570.68528170969174.520586856633-1396.164694853061570.68528170969-174.520586856633

Page 57: Examen Parcial de Analisis Estructural 2

1396.16469485306

331770.58471764328252.94067394904

-2023.52539159232-1770.58471764328-252.940673949042023.52539159232

30-1770.58471764328252.94067394904

-2023.525391592321770.58471764328-252.940673949042023.52539159232

24-174.5205868566331570.68528170969-1396.16469485306174.520586856633-1570.685281709691396.16469485306

21-174.520586856633-1570.68528170969-1396.16469485306174.5205868566331570.685281709691396.16469485306

36

Page 58: Examen Parcial de Analisis Estructural 2

-252.940673949041770.58471764328-2023.52539159232252.94067394904

-1770.584717643282023.52539159232

33-252.94067394904

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1770.584717643282023.52539159232

15-1570.68528170969-174.520586856633-1396.164694853061570.68528170969174.5205868566331396.16469485306

241570.68528170969-174.520586856633-1396.16469485306-1570.68528170969174.5205868566331396.16469485306

27-1770.58471764328-252.94067394904

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Page 59: Examen Parcial de Analisis Estructural 2

2023.52539159232

361770.58471764328-252.94067394904

-2023.52539159232-1770.58471764328252.94067394904

2023.52539159232

21000000

24000000

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36

Page 60: Examen Parcial de Analisis Estructural 2

000000

Page 61: Examen Parcial de Analisis Estructural 2

31 32 33 34 35

Page 62: Examen Parcial de Analisis Estructural 2

MATRIZ DE RIGIDEZ DE LA ESTRUCTURA2 3 4 5 6

-918.607690975481 -5952.69683295079 0 0 02314.77238582854 5952.69683295079 0 0 05952.69683295079 36452.2571047818 0 0 0

0 0 2314.77238582854 918.607690975481 -5952.696832950790 0 918.607690975481 2314.77238582854 -5952.696832950790 0 -5952.69683295079 -5952.69683295079 36452.25710478180 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

525.936370548058 4207.49096438446 -21.8150733570791 -196.335660213712 174.520586856633-525.936370548058 -4207.49096438446 -196.335660213712 -1767.0209419234 1570.68528170969-4207.49096438446 -33659.9277150757 174.520586856633 1570.68528170969 -1396.16469485306196.335660213712 174.520586856633 -525.936370548058 -525.936370548058 4207.49096438446-1767.0209419234 -1570.68528170969 -525.936370548058 -525.936370548058 4207.49096438446

-1570.68528170969 -1396.16469485306 4207.49096438446 4207.49096438446 -33659.92771507570 0 -1767.0209419234 -196.335660213712 1570.685281709690 0 -196.335660213712 -21.8150733570791 174.5205868566330 0 1570.68528170969 174.520586856633 -1396.16469485306

196.335660213712 1570.68528170969 0 0 0-21.8150733570791 -174.520586856633 0 0 0-174.520586856633 -1396.16469485306 0 0 0

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Page 63: Examen Parcial de Analisis Estructural 2

0 0 0 0 0

Page 64: Examen Parcial de Analisis Estructural 2

36 37 38 39 40

Page 65: Examen Parcial de Analisis Estructural 2

7 8 9 10 110 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

2314.77238582854 -918.607690975481 5952.69683295079 0 0-918.607690975481 2314.77238582854 -5952.69683295079 0 05952.69683295079 -5952.69683295079 36452.2571047818 0 0

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Page 66: Examen Parcial de Analisis Estructural 2

0 0 0 0 0

Page 67: Examen Parcial de Analisis Estructural 2

41 42 43 44 45

Page 68: Examen Parcial de Analisis Estructural 2

12 13 14 15 160 -525.936370548058 525.936370548058 4207.49096438446 -21.81507335707910 525.936370548058 -525.936370548058 -4207.49096438446 196.3356602137120 4207.49096438446 -4207.49096438446 -33659.9277150757 174.5205868566330 -21.8150733570791 -196.335660213712 174.520586856633 -525.9363705480580 -196.335660213712 -1767.0209419234 1570.68528170969 -525.9363705480580 174.520586856633 1570.68528170969 -1396.16469485306 4207.490964384460 0 0 0 -1767.02094192340 0 0 0 196.3356602137120 0 0 0 -1570.68528170969

5952.69683295079 -1767.0209419234 -196.335660213712 -1570.68528170969 05952.69683295079 -196.335660213712 -21.8150733570791 -174.520586856633 036452.2571047818 -1570.68528170969 -174.520586856633 -1396.16469485306 0-1570.68528170969 33872.3790933219 -2802.63872484326 -9042.34262550819 0-174.520586856633 -2802.63872484326 33872.3790933219 9042.34262550819 0-1396.16469485306 -9042.34262550819 9042.34262550819 74159.2356030422 0

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0 1770.58471764328 -252.94067394904 -2023.52539159232 0

Page 70: Examen Parcial de Analisis Estructural 2

46 47 48 49 50

Page 71: Examen Parcial de Analisis Estructural 2

17 18 19 20 21196.335660213712 174.520586856633 0 0 0-1767.0209419234 -1570.68528170969 0 0 0

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0 0 -252.94067394904 1770.58471764328 -2023.52539159232

Page 73: Examen Parcial de Analisis Estructural 2

51 52 53 54 55

Page 74: Examen Parcial de Analisis Estructural 2

22 23 24 25 26-1767.0209419234 196.335660213712 1570.68528170969 0 0196.335660213712 -21.8150733570791 -174.520586856633 0 01570.68528170969 -174.520586856633 -1396.16469485306 0 0

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Page 75: Examen Parcial de Analisis Estructural 2

-4207.49096438446 -4207.49096438446 -33659.9277150757 0 0

Page 76: Examen Parcial de Analisis Estructural 2

56 57 58 59 60

Page 77: Examen Parcial de Analisis Estructural 2

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-1770.58471764328 0 0 0 -31.61758424363-252.94067394904 0 0 0 -221.32308970541

-2023.52539159232 0 0 0 -252.94067394904-2689.84692069022 0 0 0 -2267.7214996852689.84692069022 0 -37000 0 2267.72149968537706.9784982603 0 0 0 0

0 41374.5370824146 2351.01169082224 -2689.84692069022 -370000 2351.01169082224 41374.5370824146 -2689.84692069022 00 -2689.84692069022 -2689.84692069022 37706.9784982603 00 -37000 0 0 41374.53708241460 0 0 0 -2351.011690822240 0 0 0 2689.846920690220 -2267.721499685 -2267.721499685 0 00 -2267.721499685 -2267.721499685 0 0

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0 0 0 0 0

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61 62 63 64 65

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32 33 34 35 360 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 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 -1549.26162793787 221.32308970541 1770.584717643280 0 221.32308970541 -31.61758424363 -252.940673949040 0 1770.58471764328 -252.94067394904 -2023.52539159232

-221.32308970541 1770.58471764328 0 0 0-31.61758424363 252.94067394904 0 0 0252.94067394904 -2023.52539159232 0 0 0

525.936370548058 -4207.49096438446 -31.61758424363 221.32308970541 -252.94067394904-525.936370548058 4207.49096438446 221.32308970541 -1549.26162793787 1770.584717643284207.49096438446 -33659.9277150757 -252.94067394904 1770.58471764328 -2023.52539159232-221.32308970541 -252.94067394904 -525.936370548058 -525.936370548058 -4207.49096438446

-1549.26162793787 -1770.58471764328 -525.936370548058 -525.936370548058 -4207.49096438446-1770.58471764328 -2023.52539159232 -4207.49096438446 -4207.49096438446 -33659.9277150757

2267.721499685 0 -37000 0 0-2267.721499685 0 0 0 0

0 0 0 0 00 0 -2267.721499685 -2267.721499685 00 0 -2267.721499685 -2267.721499685 00 0 0 0 0

-2351.01169082224 2689.84692069022 0 0 041374.5370824146 -2689.84692069022 0 -37000 0-2689.84692069022 37706.9784982603 0 0 0

0 0 41374.5370824146 2351.01169082224 2689.84692069022-37000 0 2351.01169082224 41374.5370824146 2689.84692069022

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0 0 2689.84692069022 2689.84692069022 37706.9784982603

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66 67 68 69 70

Page 83: Examen Parcial de Analisis Estructural 2

CARGAS DE FIJACIÓN EN SCL CARGAS EQUIVALENTES EN SCLqf100

qf200

qf300

qf400

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qf500

qf600

qf700

qf800

qf9

Page 85: Examen Parcial de Analisis Estructural 2

33.84-33.84

qf1033.84-33.84

qf1133.84-33.84

qf1233.84-33.84

qf1333.84-33.84

Page 86: Examen Parcial de Analisis Estructural 2

qf1433.84-33.84

qf1533.84-33.84

qf1633.84-33.84

qf1700

qf18

Page 87: Examen Parcial de Analisis Estructural 2

00

qf1900

qf2000

qf2100

qf2200

Page 88: Examen Parcial de Analisis Estructural 2

qf2300

qf2400

qf2500

qf2600

qf27

Page 89: Examen Parcial de Analisis Estructural 2

00

qf2800

qf2900

qf3000

qf3100

Page 90: Examen Parcial de Analisis Estructural 2

qf3200

qf3300

qf3400

qf3500

qf36

Page 91: Examen Parcial de Analisis Estructural 2

00

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71 72 73 74 75

Page 93: Examen Parcial de Analisis Estructural 2

CARGAS EQUIVALENTES EN SCL CARGAS EQUIVALENTES EN SCGqe1 Qe1

0 13 00 14 0

15 016 017 018 0

qe2 Qe20 16 00 17 0

18 019 020 021 0

qe3 Qe30 19 00 20 0

21 022 023 024 0

qe4 Qe40 13 00 14 0

15 022 023 0

Page 94: Examen Parcial de Analisis Estructural 2

24 0

qe5 Qe50 25 00 26 0

27 028 029 030 0

qe6 Qe60 28 00 29 0

30 031 032 033 0

qe7 Qe70 31 00 32 0

33 034 035 036 0

qe8 Qe80 25 00 26 0

27 034 035 036 0

qe9 Qe9

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-33.84 1 4.16541605533.84 2 -4.16541605

3 -33.323328413 -4.1654160514 4.16541605515 33.32332844

qe10 Qe10-33.84 13 4.16541605533.84 14 -4.16541605

15 -33.323328425 -4.1654160526 4.16541605527 33.32332844

qe11 Qe11-33.84 4 4.16541605533.84 5 4.165416055

6 -33.323328416 -4.1654160517 -4.1654160518 33.32332844

qe12 Qe12-33.84 16 4.16541605533.84 17 4.165416055

18 -33.323328428 -4.1654160529 -4.1654160530 33.32332844

qe13 Qe13-33.84 7 -4.1654160533.84 8 4.165416055

9 -33.323328419 4.16541605520 -4.16541605

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21 33.32332844

qe14 Qe14-33.84 19 -4.1654160533.84 20 4.165416055

21 -33.323328431 4.16541605532 -4.1654160533 33.32332844

qe15 Qe15-33.84 10 -4.1654160533.84 11 -4.16541605

12 -33.323328422 4.16541605523 4.16541605524 33.32332844

qe16 Qe16-33.84 22 -4.1654160533.84 23 -4.16541605

24 -33.323328434 4.16541605535 4.16541605536 33.32332844

qe17 Qe170 1 00 2 0

3 016 017 018 0

qe18 Qe18

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0 4 00 5 0

6 013 014 015 0

qe19 Qe190 13 00 14 0

15 028 029 030 0

qe20 Qe200 16 00 17 0

18 025 026 027 0

qe21 Qe210 4 00 5 0

6 019 020 021 0

qe22 Qe220 7 00 8 0

9 016 017 0

Page 98: Examen Parcial de Analisis Estructural 2

18 0

qe23 Qe230 16 00 17 0

18 031 032 033 0

qe24 Qe240 19 00 20 0

21 028 029 030 0

qe25 Qe250 7 00 8 0

9 022 023 024 0

qe26 Qe260 10 00 11 0

12 019 020 021 0

qe27 Qe27

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0 19 00 20 0

21 034 035 036 0

qe28 Qe280 22 00 23 0

24 031 032 033 0

qe29 Qe290 10 00 11 0

12 013 014 015 0

qe30 Qe300 1 00 2 0

3 022 023 024 0

qe31 Qe310 22 00 23 0

24 025 026 0

Page 100: Examen Parcial de Analisis Estructural 2

27 0

qe32 Qe320 13 00 14 0

15 034 035 036 0

qe33 Qe330 13 00 14 0

15 019 020 021 0

qe34 Qe340 16 00 17 0

18 022 023 024 0

qe35 Qe350 25 00 26 0

27 031 032 033 0

qe36 Qe36

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0 28 00 29 0

30 034 035 036 0

Page 102: Examen Parcial de Analisis Estructural 2

76 77 78 79 80

Page 103: Examen Parcial de Analisis Estructural 2

CARGAS EQUIVALENTES TOTALES EN SCG CARGAS EN LOS NUDOS S.C.GQE

1 4.165416055 1 Qn12 -4.16541605 2 Qn23 -33.3233284 3 Qn34 4.165416055 4 Qn45 4.165416055 5 Qn56 -33.3233284 6 Qn67 -4.16541605 7 Qn78 4.165416055 8 Qn89 -33.3233284 9 Qn9

10 -4.16541605 10 Qn1011 -4.16541605 11 Qn1112 -33.3233284 12 Qn1213 0 13 014 0 14 015 0 15 016 0 16 017 0 17 018 0 18 019 0 19 020 0 20 021 0 21 022 0 22 023 0 23 024 0 24 025 -4.16541605 25 1026 4.165416055 26 527 33.32332844 27 -3028 -4.16541605 28 1029 -4.16541605 29 530 33.32332844 30 -3031 4.165416055 31 1032 -4.16541605 32 533 33.32332844 33 -3034 4.165416055 34 1035 4.165416055 35 5

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36 33.32332844 36 -30

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81 82 83 84 85 86

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CARGAS EN LOS NUDOS S.C.G VECTOR DE CARGAS Qi S.C.G VECTOR DE DESPLAZAMIENTOS Di S.C.GQ = Qeq + Qni Di = Dap + Dni

1 Q1 1 02 Q2 2 03 Q3 3 -0.054 Q4 4 05 Q5 5 06 Q6 6 07 Q7 7 08 Q8 8 09 Q9 9 0

10 Q10 10 011 Q11 11 012 Q12 12 -0.0513 0 13 D1314 0 14 D1415 0 15 D1516 0 16 D1617 0 17 D1718 0 18 D1819 0 19 D1920 0 20 D2021 0 21 D2122 0 22 D2223 0 23 D2324 0 24 D2425 5.834583945 25 D2526 9.165416055 26 D2627 3.323328438 27 D2728 5.834583945 28 D2829 0.834583945 29 D2930 3.323328438 30 D3031 14.16541605 31 D3132 0.834583945 32 D3233 3.323328438 33 D3334 14.16541605 34 D3435 9.165416055 35 D35

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36 3.323328438 36 D36

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87 88 89 90 91 92 93 94

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VECTOR DE DESPLAZAMIENTOS Di S.C.G MATRIZ DE RIGIDEZ REORDENADA DE LA ESTRUCTURADi = Dap + Dni 13 14 15 16 17

13 33872.37909 -2802.63872 -9042.34263 0 014 -2802.63872 33872.37909 9042.342626 0 -2775015 -9042.34263 9042.342626 74159.2356 0 016 0 0 0 33872.37909 2802.63872517 0 -27750 0 2802.638725 33872.3790918 0 0 0 -9042.34263 -9042.3426319 -1700.79112 1700.791125 0 -27750 020 1700.791125 -1700.79112 0 0 021 0 0 0 0 022 -27750 0 0 -1700.79112 -1700.7911223 0 0 0 -1700.79112 -1700.7911224 0 0 0 0 025 -525.936371 525.9363705 4207.490964 -31.6175842 -221.3230926 525.9363705 -525.936371 -4207.49096 -221.32309 -1549.2616327 4207.490964 -4207.49096 -33659.9277 252.9406739 1770.58471828 -31.6175842 221.3230897 252.9406739 -525.936371 -525.93637129 221.3230897 -1549.26163 -1770.58472 -525.936371 -525.93637130 252.9406739 -1770.58472 -2023.52539 4207.490964 4207.49096431 0 0 0 -1549.26163 -221.3230932 0 0 0 -221.32309 -31.617584233 0 0 0 1770.584718 252.940673934 -1549.26163 221.3230897 1770.584718 0 035 221.3230897 -31.6175842 -252.940674 0 036 1770.584718 -252.940674 -2023.52539 0 01 -525.936371 525.9363705 4207.490964 -21.8150734 196.33566022 525.9363705 -525.936371 -4207.49096 196.3356602 -1767.020943 4207.490964 -4207.49096 -33659.9277 174.5205869 -1570.685284 -21.8150734 -196.33566 174.5205869 -525.936371 -525.9363715 -196.33566 -1767.02094 1570.685282 -525.936371 -525.9363716 174.5205869 1570.685282 -1396.16469 4207.490964 4207.4909647 0 0 0 -1767.02094 196.33566028 0 0 0 196.3356602 -21.81507349 0 0 0 -1570.68528 174.5205869

10 -1767.02094 -196.33566 -1570.68528 0 011 -196.33566 -21.8150734 -174.520587 0 0

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12 -1570.68528 -174.520587 -1396.16469 0 0

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95 96 97 98 99 100 101 102

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MATRIZ DE RIGIDEZ REORDENADA DE LA ESTRUCTURA18 19 20 21 22 23 24 250 -1700.79112 1700.791125 0 -27750 0 0 -525.9363710 1700.791125 -1700.79112 0 0 0 0 525.93637050 0 0 0 0 0 0 4207.490964

-9042.34263 -27750 0 0 -1700.79112 -1700.79112 0 -31.6175842-9042.34263 0 0 0 -1700.79112 -1700.79112 0 -221.3230974159.2356 0 0 0 0 0 0 252.9406739

0 33872.37909 -2802.63872 9042.342626 0 0 0 00 -2802.63872 33872.37909 -9042.34263 0 -27750 0 00 9042.342626 -9042.34263 74159.2356 0 0 0 00 0 0 0 33872.37909 2802.638725 9042.342626 -1549.261630 0 -27750 0 2802.638725 33872.37909 9042.342626 -221.323090 0 0 0 9042.342626 9042.342626 74159.2356 -1770.58472

252.9406739 0 0 0 -1549.26163 -221.32309 -1770.58472 41374.537081770.584718 0 0 0 -221.32309 -31.6175842 -252.940674 -2351.01169-2023.52539 0 0 0 -1770.58472 -252.940674 -2023.52539 -2689.846924207.490964 -1549.26163 221.3230897 -1770.58472 0 0 0 04207.490964 221.3230897 -31.6175842 252.9406739 0 0 0 0-33659.9277 -1770.58472 252.9406739 -2023.52539 0 0 0 01770.584718 -525.936371 525.9363705 -4207.49096 -31.6175842 -221.32309 -252.940674 -2267.7215252.9406739 525.9363705 -525.936371 4207.490964 -221.32309 -1549.26163 -1770.58472 2267.7215-2023.52539 -4207.49096 4207.490964 -33659.9277 -252.940674 -1770.58472 -2023.52539 0

0 -31.6175842 221.3230897 -252.940674 -525.936371 -525.936371 -4207.49096 -370000 221.3230897 -1549.26163 1770.584718 -525.936371 -525.936371 -4207.49096 00 -252.940674 1770.584718 -2023.52539 -4207.49096 -4207.49096 -33659.9277 0

174.5205869 0 0 0 -1767.02094 196.3356602 1570.685282 0-1570.68528 0 0 0 196.3356602 -21.8150734 -174.520587 0-1396.16469 0 0 0 1570.685282 -174.520587 -1396.16469 04207.490964 -1767.02094 -196.33566 1570.685282 0 0 0 04207.490964 -196.33566 -21.8150734 174.5205869 0 0 0 0-33659.9277 1570.685282 174.5205869 -1396.16469 0 0 0 0-1570.68528 -525.936371 525.9363705 -4207.49096 -21.8150734 196.3356602 -174.520587 0174.5205869 525.9363705 -525.936371 4207.490964 196.3356602 -1767.02094 1570.685282 0-1396.16469 -4207.49096 4207.490964 -33659.9277 -174.520587 1570.685282 -1396.16469 0

0 -21.8150734 -196.33566 -174.520587 -525.936371 -525.936371 -4207.49096 00 -196.33566 -1767.02094 -1570.68528 -525.936371 -525.936371 -4207.49096 0

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0 -174.520587 -1570.68528 -1396.16469 -4207.49096 -4207.49096 -33659.9277 0

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103 104 105 106 107 108 109 110

Page 115: Examen Parcial de Analisis Estructural 2

26 27 28 29 30 31 32 33525.9363705 4207.490964 -31.6175842 221.3230897 252.9406739 0 0 0-525.936371 -4207.49096 221.3230897 -1549.26163 -1770.58472 0 0 0-4207.49096 -33659.9277 252.9406739 -1770.58472 -2023.52539 0 0 0-221.32309 252.9406739 -525.936371 -525.936371 4207.490964 -1549.26163 -221.32309 1770.584718

-1549.26163 1770.584718 -525.936371 -525.936371 4207.490964 -221.32309 -31.6175842 252.94067391770.584718 -2023.52539 4207.490964 4207.490964 -33659.9277 1770.584718 252.9406739 -2023.52539

0 0 -1549.26163 221.3230897 -1770.58472 -525.936371 525.9363705 -4207.490960 0 221.3230897 -31.6175842 252.9406739 525.9363705 -525.936371 4207.4909640 0 -1770.58472 252.9406739 -2023.52539 -4207.49096 4207.490964 -33659.9277

-221.32309 -1770.58472 0 0 0 -31.6175842 -221.32309 -252.940674-31.6175842 -252.940674 0 0 0 -221.32309 -1549.26163 -1770.58472-252.940674 -2023.52539 0 0 0 -252.940674 -1770.58472 -2023.52539-2351.01169 -2689.84692 0 0 0 -2267.7215 2267.7215 041374.53708 2689.846921 0 -37000 0 2267.7215 -2267.7215 02689.846921 37706.9785 0 0 0 0 0 0

0 0 41374.53708 2351.011691 -2689.84692 -37000 0 0-37000 0 2351.011691 41374.53708 -2689.84692 0 0 0

0 0 -2689.84692 -2689.84692 37706.9785 0 0 02267.7215 0 -37000 0 0 41374.53708 -2351.01169 2689.846921-2267.7215 0 0 0 0 -2351.01169 41374.53708 -2689.84692

0 0 0 0 0 2689.846921 -2689.84692 37706.97850 0 -2267.7215 -2267.7215 0 0 0 00 0 -2267.7215 -2267.7215 0 0 -37000 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0

Page 117: Examen Parcial de Analisis Estructural 2

111 112 113 114 115 116 117 118

Page 118: Examen Parcial de Analisis Estructural 2

34 35 36 1 2 3 4 5-1549.26163 221.3230897 1770.584718 -525.936371 525.9363705 4207.490964 -21.8150734 -196.33566221.3230897 -31.6175842 -252.940674 525.9363705 -525.936371 -4207.49096 -196.33566 -1767.020941770.584718 -252.940674 -2023.52539 4207.490964 -4207.49096 -33659.9277 174.5205869 1570.685282

0 0 0 -21.8150734 196.3356602 174.5205869 -525.936371 -525.9363710 0 0 196.3356602 -1767.02094 -1570.68528 -525.936371 -525.9363710 0 0 174.5205869 -1570.68528 -1396.16469 4207.490964 4207.490964

-31.6175842 221.3230897 -252.940674 0 0 0 -1767.02094 -196.33566221.3230897 -1549.26163 1770.584718 0 0 0 -196.33566 -21.8150734-252.940674 1770.584718 -2023.52539 0 0 0 1570.685282 174.5205869-525.936371 -525.936371 -4207.49096 -1767.02094 196.3356602 1570.685282 0 0-525.936371 -525.936371 -4207.49096 196.3356602 -21.8150734 -174.520587 0 0-4207.49096 -4207.49096 -33659.9277 1570.685282 -174.520587 -1396.16469 0 0

-37000 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

-2267.7215 -2267.7215 0 0 0 0 0 0-2267.7215 -2267.7215 0 0 0 0 0 0

0 0 0 0 0 0 0 00 0 0 0 0 0 0 00 -37000 0 0 0 0 0 00 0 0 0 0 0 0 0

41374.53708 2351.011691 2689.846921 0 0 0 0 02351.011691 41374.53708 2689.846921 0 0 0 0 02689.846921 2689.846921 37706.9785 0 0 0 0 0

0 0 0 2314.772386 -918.607691 -5952.69683 0 00 0 0 -918.607691 2314.772386 5952.696833 0 00 0 0 -5952.69683 5952.696833 36452.2571 0 00 0 0 0 0 0 2314.772386 918.6076910 0 0 0 0 0 918.607691 2314.7723860 0 0 0 0 0 -5952.69683 -5952.696830 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

Page 119: Examen Parcial de Analisis Estructural 2

0 0 0 0 0 0 0 0

Page 120: Examen Parcial de Analisis Estructural 2

119 120 121 122 123 124 125 126

Page 121: Examen Parcial de Analisis Estructural 2

6 7 8 9 10 11 12174.5205869 0 0 0 -1767.02094 -196.33566 -1570.685281570.685282 0 0 0 -196.33566 -21.8150734 -174.520587-1396.16469 0 0 0 -1570.68528 -174.520587 -1396.164694207.490964 -1767.02094 196.3356602 -1570.68528 0 0 04207.490964 196.3356602 -21.8150734 174.5205869 0 0 0-33659.9277 -1570.68528 174.5205869 -1396.16469 0 0 01570.685282 -525.936371 525.9363705 -4207.49096 -21.8150734 -196.33566 -174.520587174.5205869 525.9363705 -525.936371 4207.490964 -196.33566 -1767.02094 -1570.68528-1396.16469 -4207.49096 4207.490964 -33659.9277 -174.520587 -1570.68528 -1396.16469

0 -21.8150734 196.3356602 -174.520587 -525.936371 -525.936371 -4207.490960 196.3356602 -1767.02094 1570.685282 -525.936371 -525.936371 -4207.490960 -174.520587 1570.685282 -1396.16469 -4207.49096 -4207.49096 -33659.92770 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

-5952.69683 0 0 0 0 0 0-5952.69683 0 0 0 0 0 036452.2571 0 0 0 0 0 0

0 2314.772386 -918.607691 5952.696833 0 0 00 -918.607691 2314.772386 -5952.69683 0 0 00 5952.696833 -5952.69683 36452.2571 0 0 00 0 0 0 2314.772386 918.607691 5952.6968330 0 0 0 918.607691 2314.772386 5952.696833

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0 0 0 0 5952.696833 5952.696833 36452.2571

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127 128 129 130 131 132 133 134

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MATRIZ Do MATRIZ Qx MATRIZ D ensamblado

13 0.00401439 1 -6.96964735 114 -0.03800938 2 -0.55036767 215 -0.04502708 3 12.67667156 316 0.004043533 4 -11.956304 417 -0.03795814 5 -9.44963233 518 -0.0052625 6 44.67667156 619 0.004021438 7 -8.043696 720 -0.03801642 8 0.523680977 821 -0.00479167 9 -19.3233284 922 0.004050581 10 -13.0303527 1023 -0.03795109 11 -10.523681 1124 -0.04455625 12 -51.3233284 1225 0.00968466 1326 -0.07509352 1427 -0.03973034 1528 0.009691581 1629 -0.07517213 1730 -0.00953767 1831 0.009777113 1932 -0.07518597 2033 -0.009923 2134 0.009784034 2235 -0.07507968 2336 -0.04011567 24

2526272829303132333435

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36

Page 126: Examen Parcial de Analisis Estructural 2

135 136 137 138 139 140 141 142

Page 127: Examen Parcial de Analisis Estructural 2

MATRIZ D ensamblado MATRIZ Q ensamblado COMPROVANDO MATRIZ QQ = K*D

0 1 -6.96964735 1 -6.969647350 2 -0.55036767 2 -0.55036767

-0.05 3 12.67667156 3 12.676671560 4 -11.956304 4 -11.9563040 5 -9.44963233 5 -9.449632330 6 44.67667156 6 44.676671560 7 -8.043696 7 -8.0436960 8 0.523680977 8 0.5236809770 9 -19.3233284 9 -19.32332840 10 -13.0303527 10 -13.03035270 11 -10.523681 11 -10.523681

-0.05 12 -51.3233284 12 -51.32332840.00401439 13 0 13 2.98428E-13-0.03800938 14 0 14 -3.49942E-13-0.04502708 15 0 15 -1.42109E-140.004043533 16 0 16 -1.66978E-13-0.03795814 17 0 17 7.56284E-13-0.0052625 18 0 18 -2.4869E-14

0.004021438 19 0 19 1.08358E-13-0.03801642 20 0 20 1.13687E-13-0.00479167 21 0 21 7.10543E-140.004050581 22 0 22 -4.26326E-13-0.03795109 23 0 23 1.98952E-13-0.04455625 24 0 24 -1.13687E-120.00968466 25 5.834583945 25 5.834583945-0.07509352 26 9.165416055 26 9.165416055-0.03973034 27 3.323328438 27 3.3233284380.009691581 28 5.834583945 28 5.834583945-0.07517213 29 0.834583945 29 0.834583945-0.00953767 30 3.323328438 30 3.3233284380.009777113 31 14.16541605 31 14.16541605-0.07518597 32 0.834583945 32 0.834583945

-0.009923 33 3.323328438 33 3.3233284380.009784034 34 14.16541605 34 14.16541605-0.07507968 35 9.165416055 35 9.165416055

Page 128: Examen Parcial de Analisis Estructural 2

-0.04011567 36 3.323328438 36 3.323328438

Page 129: Examen Parcial de Analisis Estructural 2

143 144 145 146 147 148 149

Page 130: Examen Parcial de Analisis Estructural 2

MATRIZ DE DESP. FINALES S.C.G MATRIZ DE DESPLAZAMIENTOS S.C.LD1 d1

13 0.00401439 -0.0380093814 -0.03800938 -0.0379581415 -0.0450270816 0.00404353317 -0.0379581418 -0.0052625

D2 d216 0.004043533 -0.0040435317 -0.03795814 -0.0040214418 -0.005262519 0.00402143820 -0.0380164221 -0.00479167

D3 d319 0.004021438 0.03801642420 -0.03801642 0.0379510921 -0.0047916722 0.00405058123 -0.0379510924 -0.04455625

D4 d413 0.00401439 -0.0040143914 -0.03800938 -0.0040505815 -0.0450270822 0.00405058123 -0.03795109

Page 131: Examen Parcial de Analisis Estructural 2

24 -0.04455625

D5 d525 0.00968466 -0.0750935226 -0.07509352 -0.0751721327 -0.0397303428 0.00969158129 -0.0751721330 -0.00953767

D6 d628 0.009691581 -0.0096915829 -0.07517213 -0.0097771130 -0.0095376731 0.00977711332 -0.0751859733 -0.009923

D7 d731 0.009777113 0.07518597432 -0.07518597 0.07507967933 -0.00992334 0.00978403435 -0.0750796836 -0.04011567

D8 d825 0.00968466 -0.0096846626 -0.07509352 -0.0097840327 -0.0397303434 0.00978403435 -0.0750796836 -0.04011567

D9 d9

Page 132: Examen Parcial de Analisis Estructural 2

1 0 -0.04923662 0 -0.049512373 -0.05

13 0.0040143914 -0.0380093815 -0.04502708

D10 d1013 0.00401439 -0.0495123714 -0.03800938 -0.049559215 -0.0450270825 0.0096846626 -0.0750935227 -0.03973034

D11 d114 0 05 0 -0.001007556 0

16 0.00404353317 -0.0379581418 -0.0052625

D12 d1216 0.004043533 -0.0010075517 -0.03795814 -0.0013319518 -0.005262528 0.00969158129 -0.0751721330 -0.00953767

D13 d137 0 08 0 0.0004559969 0

19 0.00402143820 -0.03801642

Page 133: Examen Parcial de Analisis Estructural 2

21 -0.00479167

D14 d1419 0.004021438 0.00045599620 -0.03801642 0.00068673621 -0.0047916731 0.00977711332 -0.0751859733 -0.009923

D15 d1510 0 -0.049236611 0 -0.0480488312 -0.0522 0.00405058123 -0.0379510924 -0.04455625

D16 d1622 0.004050581 -0.0480488323 -0.03795109 -0.0475405224 -0.0445562534 0.00978403435 -0.0750796836 -0.04011567

D17 d171 0 -0.033104242 0 -0.032091813 -0.05

16 0.00404353317 -0.0379581418 -0.0052625

D18 d18

Page 134: Examen Parcial de Analisis Estructural 2

4 0 05 0 -0.001832876 0

13 0.0040143914 -0.0380093815 -0.04502708

D19 d1913 0.00401439 -0.0590326914 -0.03800938 -0.0573375815 -0.0450270828 0.00969158129 -0.0751721330 -0.00953767

D20 d2016 0.004043533 0.02056400217 -0.03795814 0.01855632118 -0.005262525 0.0096846626 -0.0750935227 -0.03973034

D21 d214 0 05 0 -0.003021586 0

19 0.00402143820 -0.0380164221 -0.00479167

D22 d227 0 08 0 0.0026690259 0

16 0.00404353317 -0.03795814

Page 135: Examen Parcial de Analisis Estructural 2

18 -0.0052625

D23 d2316 0.004043533 -0.003038917 -0.03795814 -0.0068031618 -0.005262531 0.00977711332 -0.0751859733 -0.009923

D24 d2419 0.004021438 0.00260681420 -0.03801642 0.00624813521 -0.0047916728 0.00969158129 -0.0751721330 -0.00953767

D25 d257 0 08 0 -0.000897099 0

22 0.00405058123 -0.0379510924 -0.04455625

D26 d2610 0 -0.0331042411 0 -0.0311560312 -0.0519 0.00402143820 -0.0380164221 -0.00479167

D27 d27

Page 136: Examen Parcial de Analisis Estructural 2

19 0.004021438 0.02171034720 -0.03801642 0.02008194121 -0.0047916734 0.00978403435 -0.0750796836 -0.04011567

D28 d2822 0.004050581 -0.0578863523 -0.03795109 -0.0558119724 -0.0445562531 0.00977711332 -0.0751859733 -0.009923

D29 d2910 0 -0.0331042411 0 -0.0299673212 -0.0513 0.0040143914 -0.0380093815 -0.04502708

D30 d301 0 -0.033104242 0 -0.035657923 -0.05

22 0.00405058123 -0.0379510924 -0.04455625

D31 d3122 0.004050581 -0.0342834523 -0.03795109 -0.0304524924 -0.0445562525 0.0096846626 -0.07509352

Page 137: Examen Parcial de Analisis Estructural 2

27 -0.03973034

D32 d3213 0.00401439 -0.0399291614 -0.03800938 -0.0435037815 -0.0450270834 0.00978403435 -0.0750796836 -0.04011567

D33 d3313 0.00401439 -0.0297152914 -0.03800938 -0.0297252615 -0.0450270819 0.00402143820 -0.0380164221 -0.00479167

D34 d3416 0.004043533 0.02398124817 -0.03795814 0.0239712818 -0.005262522 0.00405058123 -0.0379510924 -0.04455625

D35 d3525 0.00968466 -0.0599472326 -0.07509352 -0.0600779727 -0.0397303431 0.00977711332 -0.0751859733 -0.009923

D36 d36

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28 0.009691581 0.04630174229 -0.07517213 0.04617099430 -0.0095376734 0.00978403435 -0.0750796836 -0.04011567

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150 151 152 153 154 155 156 157

Page 140: Examen Parcial de Analisis Estructural 2

MATRIZ DE DESPLAZAMIENTOS S.C.L MATRIZ DE FUERZAS qe FUERZAS FINALES qFeq1 qF1

-1.42184264 -1.421842641.42184264 1.42184264

Tracción

q2 qF2-0.61312755 -0.613127550.61312755 0.61312755

Tracción

q3 qF31.813017719 1.813017719-1.81301772 -1.81301772

Compresión

q4 qF41.004302629 1.004302629-1.00430263 -1.00430263

Compresión

Page 141: Examen Parcial de Analisis Estructural 2

q5 qF52.908609247 2.908609247-2.90860925 -2.90860925

Compresión

q6 qF63.164682155 3.164682155-3.16468215 -3.16468215

Compresión

q7 qF73.932900879 3.932900879-3.93290088 -3.93290088

Compresión

q8 qF83.676827971 3.676827971-3.67682797 -3.67682797

Compresión

q9 qF9

Page 142: Examen Parcial de Analisis Estructural 2

9.572716701 43.4127167-9.5727167 -43.4127167

Compresión

q10 qF101.62555707 35.46555707-1.62555707 -35.4655571

Compresión

q11 qF1134.97388695 68.81388695-34.9738869 -68.8138869

Compresión

q12 qF1211.26051854 45.10051854-11.2605185 -45.1005185

Compresión

q13 qF13-15.8284535 18.0115464515.82845355 -18.0115465

Compresión

Page 143: Examen Parcial de Analisis Estructural 2

q14 qF14-8.0094044 25.8305956

8.009404401 -25.8305956Compresión

q15 qF15-41.2296238 -7.3896237941.22962379 7.389623792

Tracción

q16 qF16-17.6443659 16.1956341317.64436587 -16.1956341

Compresión

q17 qF17-3.22458981 -3.224589813.224589814 3.224589814

Tracción

q18 qF18

Page 144: Examen Parcial de Analisis Estructural 2

5.837694667 5.837694667-5.83769467 -5.83769467

Compresión

q19 qF19-6.10985637 -6.109856376.109856371 6.109856371

Tracción

q20 qF207.236491444 7.236491444-7.23649144 -7.23649144

Compresión

q21 qF219.6237233 9.6237233-9.6237233 -9.6237233

Compresión

q22 qF22-8.50084566 -8.500845668.500845661 8.500845661

Tracción

Page 145: Examen Parcial de Analisis Estructural 2

q23 qF2313.56790154 13.56790154-13.5679015 -13.5679015

Compresión

q24 qF24-13.1247941 -13.124794113.12479409 13.12479409

Tracción

q25 qF252.857240239 2.857240239-2.85724024 -2.85724024

Compresión

q26 qF26-6.20504424 -6.205044246.205044241 6.205044241

Tracción

q27 qF27

Page 146: Examen Parcial de Analisis Estructural 2

5.869436205 5.869436205-5.86943621 -5.86943621

Compresión

q28 qF28-7.47691161 -7.476911617.47691161 7.47691161

Tracción

q29 qF29-9.99107287 -9.991072879.991072874 9.991072874

Tracción

q30 qF308.133496086 8.133496086-8.13349609 -8.13349609

Compresión

q31 qF31-13.8083217 -13.808321713.80832171 13.80832171

Tracción

Page 147: Examen Parcial de Analisis Estructural 2

q32 qF3212.88437392 12.88437392-12.8843739 -12.8843739

Compresión

q33 qF330.033905814 0.033905814-0.03390581 -0.03390581

Compresión

q34 qF340.033905814 0.033905814-0.03390581 -0.03390581

Compresión

q35 qF350.593000371 0.593000371-0.59300037 -0.59300037

Compresión

q36 qF36

Page 148: Examen Parcial de Analisis Estructural 2

0.593000371 0.593000371-0.59300037 -0.59300037

Compresión

Page 149: Examen Parcial de Analisis Estructural 2

158 159 160 161 162 163 164 165

Page 150: Examen Parcial de Analisis Estructural 2

FUERZAS FINALES qFe RECCIONES DE ARMADURAQni

1 -11.13506342 3.6150483863 464 -16.12172015 -13.61504846 787 -3.878279948 -3.641735089 14

10 -8.864936611 -6.3582649212 -1813 014 015 016 017 018 019 020 021 022 023 024 025 1026 527 -3028 1029 530 -3031 1032 533 -3034 1035 5

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36 -30

Page 152: Examen Parcial de Analisis Estructural 2

166 167 168 169 170 171 172 173

Page 153: Examen Parcial de Analisis Estructural 2

174 175 176 177 178 179 180 181

Page 154: Examen Parcial de Analisis Estructural 2

182 183 184 185 186 187 188 189

Page 155: Examen Parcial de Analisis Estructural 2

190 191 192 193 194 195 196 197

Page 156: Examen Parcial de Analisis Estructural 2

198 199 200 201 202 203 204 205

Page 157: Examen Parcial de Analisis Estructural 2

206 207 208 209 210 211 212 213

Page 158: Examen Parcial de Analisis Estructural 2

214 215 216 217 218 219 220 221

Page 159: Examen Parcial de Analisis Estructural 2

222 223 224 225 226 227 228 229

Page 160: Examen Parcial de Analisis Estructural 2

230 231 232 233 234 235 236 237

Page 161: Examen Parcial de Analisis Estructural 2

238 239 240 241 242 243 244 245

Page 162: Examen Parcial de Analisis Estructural 2

246 247 248 249 250 251 252 253

Page 163: Examen Parcial de Analisis Estructural 2

254 255 256 257 258 259 260 261

Page 164: Examen Parcial de Analisis Estructural 2

262 263 264 265 266 267 268 269

Page 165: Examen Parcial de Analisis Estructural 2

270 271 272 273 274 275 276 277

Page 166: Examen Parcial de Analisis Estructural 2

278 279 280 281 282 283 284 285

Page 167: Examen Parcial de Analisis Estructural 2

286 287 288 289 290 291 292 293

Page 168: Examen Parcial de Analisis Estructural 2

294 295 296 297 298 299 300 301

Page 169: Examen Parcial de Analisis Estructural 2

302 303 304 305 306 307 308 309

Page 170: Examen Parcial de Analisis Estructural 2

310 311 312 313 314 315 316 317

Page 171: Examen Parcial de Analisis Estructural 2

318 319 320 321 322 323 324 325

Page 172: Examen Parcial de Analisis Estructural 2

326 327 328 329 330 331 332 333

Page 173: Examen Parcial de Analisis Estructural 2

334 335 336 337 338 339 340 341

Page 174: Examen Parcial de Analisis Estructural 2

342 343 344 345 346 347 348 349

Page 175: Examen Parcial de Analisis Estructural 2

350 351 352 353 354 355 356 357

Page 176: Examen Parcial de Analisis Estructural 2

358 359 360 361 362 363 364 365

Page 177: Examen Parcial de Analisis Estructural 2

366 367 368 369 370 371 372 373

Page 178: Examen Parcial de Analisis Estructural 2

374 375 376 377 378 379 380 381

Page 179: Examen Parcial de Analisis Estructural 2

382 383 384 385 386 387 388 389

Page 180: Examen Parcial de Analisis Estructural 2

390 391 392 393 394 395 396 397

Page 181: Examen Parcial de Analisis Estructural 2

398 399 400 401 402 403 404 405

Page 182: Examen Parcial de Analisis Estructural 2

406 407 408 409 410 411 412 413

Page 183: Examen Parcial de Analisis Estructural 2

414 415 416 417 418 419 420 421

Page 184: Examen Parcial de Analisis Estructural 2

422 423 424 425 426 427 428 429

Page 185: Examen Parcial de Analisis Estructural 2

430 431 432 433 434 435 436 437

Page 186: Examen Parcial de Analisis Estructural 2

438 439 440 441 442 443 444 445

Page 187: Examen Parcial de Analisis Estructural 2

446 447 448 449 450 451 452 453

Page 188: Examen Parcial de Analisis Estructural 2

454 455 456 457 458 459 460 461

Page 189: Examen Parcial de Analisis Estructural 2

462 463 464 465 466 467 468 469

Page 190: Examen Parcial de Analisis Estructural 2

470 471 472 473 474 475 476 477

Page 191: Examen Parcial de Analisis Estructural 2

478 479 480 481 482 483 484 485

Page 192: Examen Parcial de Analisis Estructural 2

486 487 488 489 490 491 492 493

Page 193: Examen Parcial de Analisis Estructural 2

494 495 496 497 498 499 500 501

Page 194: Examen Parcial de Analisis Estructural 2

502 503 504 505 506 507 508 509

Page 195: Examen Parcial de Analisis Estructural 2

510 511 512 513 514 515 516 517

Page 196: Examen Parcial de Analisis Estructural 2

518 519 520 521 522 523 524 525

Page 197: Examen Parcial de Analisis Estructural 2

526 527 528 529 530 531 532 533

Page 198: Examen Parcial de Analisis Estructural 2

534 535 536 537 538 539 540 541

Page 199: Examen Parcial de Analisis Estructural 2

542 543 544 545 546 547 548 549

Page 200: Examen Parcial de Analisis Estructural 2

550 551 552 553 554 555 556 557

Page 201: Examen Parcial de Analisis Estructural 2

558 559 560 561 562 563 564 565

Page 202: Examen Parcial de Analisis Estructural 2

566 567 568 569 570 571 572 573

Page 203: Examen Parcial de Analisis Estructural 2

574 575 576 577 578 579 580 581

Page 204: Examen Parcial de Analisis Estructural 2

582 583 584 585 586 587 588 589

Page 205: Examen Parcial de Analisis Estructural 2

590 591 592 593 594 595 596 597

Page 206: Examen Parcial de Analisis Estructural 2

598 599 600 601 602 603 604 605

Page 207: Examen Parcial de Analisis Estructural 2

606 607 608 609 610 611 612 613

Page 208: Examen Parcial de Analisis Estructural 2

614 615 616 617 618 619 620 621

Page 209: Examen Parcial de Analisis Estructural 2

622 623 624 625 626 627 628 629

Page 210: Examen Parcial de Analisis Estructural 2

630 631 632 633 634 635 636 637

Page 211: Examen Parcial de Analisis Estructural 2

638 639 640 641 642 643 644 645

Page 212: Examen Parcial de Analisis Estructural 2

646 647 648 649 650 651 652 653

Page 213: Examen Parcial de Analisis Estructural 2

654 655 656 657 658 659 660 661

Page 214: Examen Parcial de Analisis Estructural 2

662 663 664 665 666 667 668 669

Page 215: Examen Parcial de Analisis Estructural 2

670 671 672 673 674 675 676 677

Page 216: Examen Parcial de Analisis Estructural 2

678 679 680 681 682 683 684 685

Page 217: Examen Parcial de Analisis Estructural 2

686 687 688 689 690 691 692 693

Page 218: Examen Parcial de Analisis Estructural 2

694 695 696 697 698 699 700 701

Page 219: Examen Parcial de Analisis Estructural 2

702 703 704 705 706 707 708 709

Page 220: Examen Parcial de Analisis Estructural 2

710 711 712 713 714 715 716 717

Page 221: Examen Parcial de Analisis Estructural 2

718 719 720 721 722 723 724 725

Page 222: Examen Parcial de Analisis Estructural 2

726 727 728 729 730 731 732 733

Page 223: Examen Parcial de Analisis Estructural 2

734 735 736 737 738 739 740 741

Page 224: Examen Parcial de Analisis Estructural 2

742 743 744 745 746 747 748 749

Page 225: Examen Parcial de Analisis Estructural 2

750 751 752 753 754 755 756 757

Page 226: Examen Parcial de Analisis Estructural 2

758 759 760 761 762 763 764 765

Page 227: Examen Parcial de Analisis Estructural 2

766 767 768 769 770 771 772 773

Page 228: Examen Parcial de Analisis Estructural 2

774 775 776 777 778 779 780 781

Page 229: Examen Parcial de Analisis Estructural 2

782 783 784 785 786 787 788 789

Page 230: Examen Parcial de Analisis Estructural 2

790 791 792 793 794 795 796 797

Page 231: Examen Parcial de Analisis Estructural 2

798 799 800 801 802 803 804 805

Page 232: Examen Parcial de Analisis Estructural 2

806 807 808 809 810 811 812 813

Page 233: Examen Parcial de Analisis Estructural 2

814 815 816 817 818 819 820 821

Page 234: Examen Parcial de Analisis Estructural 2

822 823 824 825 826 827 828 829

Page 235: Examen Parcial de Analisis Estructural 2

830 831 832 833 834 835 836 837

Page 236: Examen Parcial de Analisis Estructural 2

838 839 840 841 842 843 844 845

Page 237: Examen Parcial de Analisis Estructural 2

846 847 848 849 850 851 852 853

Page 238: Examen Parcial de Analisis Estructural 2

854 855 856 857 858 859 860 861

Page 239: Examen Parcial de Analisis Estructural 2

862 863 864 865 866 867 868 869

Page 240: Examen Parcial de Analisis Estructural 2

870 871 872 873 874 875 876 877

Page 241: Examen Parcial de Analisis Estructural 2

878 879 880 881 882 883 884 885

Page 242: Examen Parcial de Analisis Estructural 2

886 887 888 889 890 891 892 893

Page 243: Examen Parcial de Analisis Estructural 2

894 895 896 897 898 899 900 901

Page 244: Examen Parcial de Analisis Estructural 2

902 903 904 905 906 907 908 909

Page 245: Examen Parcial de Analisis Estructural 2

910 911 912 913 914 915 916 917

Page 246: Examen Parcial de Analisis Estructural 2

918 919 920 921 922 923 924 925

Page 247: Examen Parcial de Analisis Estructural 2

926 927 928 929 930 931 932 933

Page 248: Examen Parcial de Analisis Estructural 2

934 935 936 937 938 939 940 941

Page 249: Examen Parcial de Analisis Estructural 2

942 943 944 945 946 947 948 949

Page 250: Examen Parcial de Analisis Estructural 2

950 951 952 953 954 955 956 957

Page 251: Examen Parcial de Analisis Estructural 2

958 959 960 961 962 963 964 965

Page 252: Examen Parcial de Analisis Estructural 2

966 967 968 969 970 971 972 973

Page 253: Examen Parcial de Analisis Estructural 2

974 975 976 977 978 979 980 981

Page 254: Examen Parcial de Analisis Estructural 2

982 983 984 985 986 987 988 989

Page 255: Examen Parcial de Analisis Estructural 2

990 991 992 993 994 995 996 997

Page 256: Examen Parcial de Analisis Estructural 2

998 999 1000


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