69
COLUMNA E = 2173706.51192842 TN/m² A = 0.075 m² I = 0.0005625 BARRA 1 2 1 3 29 30 28 30 E = 2173706.512 TN/m² A = 0.075 m² I = 0.0005625 L = 3.5 m EA / L = 46579.425 90 12 EI / L³= 342.216 C = 0E+00 6 EI / L²= 598.878 S = 1 4 EI /L = 1397.383 2 EI / L = 698.6915 RIGIDEZ EN COORDENADAS LOCALES 46579.425 0 0 -46579.425 0 0 0 342.216 598.878 0 -342.216 598.878 k 1 = 0 598.878 1397.383 0 -598.878 698.6915 -46579.425 0 0 46579.425 0 0 0 -342.216 -598.878 0 342.216 -598.878 0 598.878 698.6915 0 -598.878 1397.383 m 4 m 4 q =

Trabjo Rigidez Analsi Estructural Terminado

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Page 1: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 1 2

13

29

30 2830

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3.5 m

EA / L = 46579.425 9012 EI / L³= 342.216 C = 0E+006 EI / L²= 598.878 S = 14 EI /L = 1397.3832 EI / L = 698.6915

RIGIDEZ EN COORDENADAS LOCALES

46579.425 0 0 -46579.425 0 00 342.216 598.878 0 -342.216 598.878

k 1 = 0 598.878 1397.383 0 -598.878 698.6915-46579.425 0 0 46579.425 0 0

0 -342.216 -598.878 0 342.216 -598.8780 598.878 698.6915 0 -598.878 1397.383

m 4

m 4

q =

Page 2: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 0 0 028 29 30 1 2 3

342.216 0 -598.878 -342.216 0 -598.878 28 0

0 46579.425 0 0 -46579.425 0 29 0

K 1 = -598.878 0 1397.383 598.878 0 698.6915 30 0

-342.216 0 598.878 342.216 0 598.878 1 0

0 -46579.425 0 0 46579.425 0 2 0

-598.878 0 698.6915 598.878 0 1397.383 3 0

T T =

Page 3: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 2 5

46

32

3133

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3.5 m

EA / L = 46579.425 9012 EI / L³= 342.216 C = 0E+006 EI / L²= 598.878 S = 14 EI /L = 1397.3832 EI / L = 698.6915

RIGIDEZ EN COORDENADAS LOCALES

46579.425 0 0 -46579.425 0 00 342.216 598.878 0 -342.216 598.878

k 2 = 0 598.878 1397.383 0 -598.878 698.6915-46579.425 0 0 46579.425 0 0

0 -342.216 -598.878 0 342.216 -598.8780 598.878 698.6915 0 -598.878 1397.383

m 4

m 4

q =

Page 4: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 0 5 631 32 33 4 5 6

342.216 0 -598.878 -342.216 0 -598.878 31

0 46579.425 0 0 -46579.425 0 32

K 2 = -598.878 0 1397.383 598.878 0 698.6915 33

-342.216 0 598.878 342.216 0 598.878 4

0 -46579.425 0 0 46579.425 0 5

-598.878 0 698.6915 598.878 0 1397.383 6

T T =

Page 5: Trabjo Rigidez Analsi Estructural Terminado

0

0

0

0

5

6

Page 6: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 3 8

79

35

3436

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3.5 m

EA / L = 46579.425 9012 EI / L³= 342.216 C = 0E+006 EI / L²= 598.878 S = 14 EI /L = 1397.3832 EI / L = 698.6915

RIGIDEZ EN COORDENADAS LOCALES

46579.425 0 0 -46579.425 0 00 342.216 598.878 0 -342.216 598.878

k 3 = 0 598.878 1397.383 0 -598.878 698.6915-46579.425 0 0 46579.425 0 0

0 -342.216 -598.878 0 342.216 -598.8780 598.878 698.6915 0 -598.878 1397.383

m 4

m 4

q =

Page 7: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0E+00 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 7 8 934 35 36 7 8 9

342.216 0 -598.878 -342.216 0 -598.878 34

0 46579.425 0 0 -46579.425 0 35

K 3 = -598.878 0 1397.383 598.878 0 698.6915 36

-342.216 0 598.878 342.216 0 598.878 7

0 -46579.425 0 0 46579.425 0 8

-598.878 0 698.6915 598.878 0 1397.383 9

T T =

Page 8: Trabjo Rigidez Analsi Estructural Terminado

0

0

0

7

8

9

Page 9: Trabjo Rigidez Analsi Estructural Terminado

VIGAS

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 4 52

1 4

3 6

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3 m

EA / L = 54342.663 012 EI / L³= 543.427 C = 16 EI / L²= 815.14 S = 04 EI /L = 1630.282 EI / L = 815.14

RIGIDEZ EN COORDENADAS LOCALES

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.14

k 6 = 0 815.14 1630.28 0 -815.14 815.14-54342.663 0 0 54342.663 0 0

0 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

MATRIZ DE TRANSFORMACION

1 0 0 0 0 00 1 0 0 0 0

T = 0 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

1 0 0 0 0 0

m 4

m 4

q =

Page 10: Trabjo Rigidez Analsi Estructural Terminado

0 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 0 5 0

1 2 3 4 5 6

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.14

K 6 = 0 815.14 1630.28 0 -815.14 815.14-54342.663 0 0 54342.663 0 0

0 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

T T =

Page 11: Trabjo Rigidez Analsi Estructural Terminado
Page 12: Trabjo Rigidez Analsi Estructural Terminado

1 0

2 0

3 0

4 0

5 5

6 0

Page 13: Trabjo Rigidez Analsi Estructural Terminado

VIGAS

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 5 85

4 7

6 10

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3 m

EA / L = 54342.663 012 EI / L³= 543.427 C = 16 EI / L²= 815.14 S = 04 EI /L = 1630.282 EI / L = 815.14

RIGIDEZ EN COORDENADAS LOCALES

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.14

k 7 = 0 815.14 1630.28 0 -815.14 815.14-54342.663 0 0 54342.663 0 0

0 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

MATRIZ DE TRANSFORMACION

1 0 0 0 0 00 1 0 0 0 0

T = 0 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

1 0 0 0 0 0

m 4

m 4

q =

Page 14: Trabjo Rigidez Analsi Estructural Terminado

0 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES0 5 6 7 8 10

4 5 6 7 8 10

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.14

K 7 = 0 815.14 1630.28 0 -815.14 815.14-54342.663 0 0 54342.663 0 0

0 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

T T =

Page 15: Trabjo Rigidez Analsi Estructural Terminado
Page 16: Trabjo Rigidez Analsi Estructural Terminado

4 0

5 5

6 6

7 7

8 8

10 10

Page 17: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 6 11

1012

2

13

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 2.4 m

EA / L = 67928.329 9012 EI / L³= 1061.38 C = 0E+006 EI / L²= 1273.656 S = 14 EI /L = 2037.852 EI / L = 1018.925

RIGIDEZ EN COORDENADAS LOCALES

67928.329 0 0 -67928.329 0 00 1061.38 1273.656 0 -1061.38 1273.656

k 4 = 0 1273.656 2037.85 0 -1273.656 1018.925-67928.329 0 0 67928.329 0 0

0 -1061.38 -1273.656 0 1061.38 -1273.6560 1273.656 1018.925 0 -1273.656 2037.85

m 4

m 4

q =

Page 18: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 0 0 0

1 2 3 10 11 12

1061.38 0 -1273.656 -1061.38 0 -1273.656 1

0 67928.329 0 0 -67928.329 0 2

K 4 = -1273.656 0 2037.85 1273.656 0 1018.925 3

-1061.38 0 1273.656 1061.38 0 1273.656 10

0 -67928.329 0 0 67928.329 0 11

-1273.656 0 1018.925 1273.656 0 2037.85 12

T T =

Page 19: Trabjo Rigidez Analsi Estructural Terminado

000000

Page 20: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 6 14

1315

5

46

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 2.4 m

EA / L = 67928.329 9012 EI / L³= 1061.38 C = 0E+006 EI / L²= 1273.656 S = 14 EI /L = 2037.852 EI / L = 1018.925

RIGIDEZ EN COORDENADAS LOCALES

67928.329 0 0 -67928.329 0 00 1061.38 1273.656 0 -1061.38 1273.656

k 4 = 0 1273.656 2037.85 0 -1273.656 1018.925-67928.329 0 0 67928.329 0 0

0 -1061.38 -1273.656 0 1061.38 -1273.6560 1273.656 1018.925 0 -1273.656 2037.85

m 4

m 4

q =

Page 21: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 5 6 0 0 0

4 5 6 13 14 15

1061.38 0 -1273.656 -1061.38 0 -1273.656 4

0 67928.329 0 0 -67928.329 0 5

K 4 = -1273.656 0 2037.85 1273.656 0 1018.925 6

-1061.38 0 1273.656 1061.38 0 1273.656 13

0 -67928.329 0 0 67928.329 0 14

-1273.656 0 1018.925 1273.656 0 2037.85 15

T T =

Page 22: Trabjo Rigidez Analsi Estructural Terminado

056000

Page 23: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 6 17

1618

8

109

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 2.4 m

EA / L = 67928.329 9012 EI / L³= 1061.38 C = 0E+006 EI / L²= 1273.656 S = 14 EI /L = 2037.852 EI / L = 1018.925

RIGIDEZ EN COORDENADAS LOCALES

67928.329 0 0 -67928.329 0 00 1061.38 1273.656 0 -1061.38 1273.656

k 4 = 0 1273.656 2037.85 0 -1273.656 1018.925-67928.329 0 0 67928.329 0 0

0 -1061.38 -1273.656 0 1061.38 -1273.6560 1273.656 1018.925 0 -1273.656 2037.85

m 4

m 4

q =

Page 24: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

7 8 9 16 17 1810 8 9 16 17 18

1061.38 0 -1273.656 -1061.38 0 -1273.656 10

0 67928.329 0 0 -67928.329 0 8

-1273.656 0 2037.85 1273.656 0 1018.925 9

-1061.38 0 1273.656 1061.38 0 1273.656 16

0 -67928.329 0 0 67928.329 0 17

-1273.656 0 1018.925 1273.656 0 2037.85 18

T T =

Page 25: Trabjo Rigidez Analsi Estructural Terminado

7

8

9

16

17

18

Page 26: Trabjo Rigidez Analsi Estructural Terminado

VIGAS

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 9 1411

10 13

12 15

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3 m

EA / L = 54342.663 012 EI / L³= 543.427 C = 16 EI / L²= 815.14 S = 04 EI /L = 1630.282 EI / L = 815.14

RIGIDEZ EN COORDENADAS LOCALES

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.14

k 12 = 0 815.14 1630.28 0 -815.14 815.14-54342.663 0 0 54342.663 0 0

0 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

MATRIZ DE TRANSFORMACION

1 0 0 0 0 00 1 0 0 0 0

T = 0 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

1 0 0 0 0 0

m 4

m 4

q =

Page 27: Trabjo Rigidez Analsi Estructural Terminado

0 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

10 0 0 0 0 0

10 11 12 13 14 15

0 54342.663 0 0 -54342.663 0 017 0 543.427 815.14 0 -543.427 815.1418 0 815.14 1630.28 0 -815.14 815.14

0 -54342.663 0 0 54342.663 0 014 0 -543.427 -815.14 0 543.427 -815.1415 0 815.14 815.14 0 -815.14 1630.28

T T =

Page 28: Trabjo Rigidez Analsi Estructural Terminado
Page 29: Trabjo Rigidez Analsi Estructural Terminado

10 10

11 0

12 0

13 0

14 0

15 0

Page 30: Trabjo Rigidez Analsi Estructural Terminado

VIGAS

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 10 1714

13 16

15 18

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 3 m

EA / L = 54342.663 012 EI / L³= 543.427 C = 16 EI / L²= 815.14 S = 04 EI /L = 1630.282 EI / L = 815.14

RIGIDEZ EN COORDENADAS LOCALES

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.14

k 13 = 0 815.14 1630.28 0 -815.14 815.14-54342.663 0 0 54342.663 0 0

0 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

MATRIZ DE TRANSFORMACION

1 0 0 0 0 00 1 0 0 0 0

T = 0 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

1 0 0 0 0 0

m 4

m 4

q =

Page 31: Trabjo Rigidez Analsi Estructural Terminado

0 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 16 17 18

13 14 15 16 17 18

54342.663 0 0 -54342.663 0 00 543.427 815.14 0 -543.427 815.140 815.14 1630.28 0 -815.14 815.14

-54342.663 0 0 54342.663 0 00 -543.427 -815.14 0 543.427 -815.140 815.14 815.14 0 -815.14 1630.28

T T =

Page 32: Trabjo Rigidez Analsi Estructural Terminado
Page 33: Trabjo Rigidez Analsi Estructural Terminado

13 0

14 0

15 0

16 16

17 17

18 18

Page 34: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 6 26

2527

11

1012

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 2.4 m

EA / L = 67928.329 9012 EI / L³= 1061.38 C = 0E+006 EI / L²= 1273.656 S = 14 EI /L = 2037.852 EI / L = 1018.925

RIGIDEZ EN COORDENADAS LOCALES

67928.329 0 0 -67928.329 0 00 1061.38 1273.656 0 -1061.38 1273.656

k 4 = 0 1273.656 2037.85 0 -1273.656 1018.925-67928.329 0 0 67928.329 0 0

0 -1061.38 -1273.656 0 1061.38 -1273.6560 1273.656 1018.925 0 -1273.656 2037.85

m 4

m 4

q =

Page 35: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

10 0 0 0 26 2710 11 12 25 26 27

1061.38 0 -1273.656 -1061.38 0 -1273.656 10

0 67928.329 0 0 -67928.329 0 11

-1273.656 0 2037.85 1273.656 0 1018.925 12

-1061.38 0 1273.656 1061.38 0 1273.656 25

0 -67928.329 0 0 67928.329 0 26

-1273.656 0 1018.925 1273.656 0 2037.85 27

T T =

Page 36: Trabjo Rigidez Analsi Estructural Terminado

10

0

0

0

26

27

Page 37: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 6 23

2224

14

1315

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 2.4 m

EA / L = 67928.329 9012 EI / L³= 1061.38 C = 0E+006 EI / L²= 1273.656 S = 14 EI /L = 2037.852 EI / L = 1018.925

RIGIDEZ EN COORDENADAS LOCALES

67928.329 0 0 -67928.329 0 00 1061.38 1273.656 0 -1061.38 1273.656

k 4 = 0 1273.656 2037.85 0 -1273.656 1018.925-67928.329 0 0 67928.329 0 0

0 -1061.38 -1273.656 0 1061.38 -1273.6560 1273.656 1018.925 0 -1273.656 2037.85

m 4

m 4

q =

Page 38: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

0 0 0 22 0 013 14 15 22 23 24

1061.38 0 -1273.656 -1061.38 0 -1273.656 13

0 67928.329 0 0 -67928.329 0 14

-1273.656 0 2037.85 1273.656 0 1018.925 15

-1061.38 0 1273.656 1061.38 0 1273.656 22

0 -67928.329 0 0 67928.329 0 23

-1273.656 0 1018.925 1273.656 0 2037.85 24

T T =

Page 39: Trabjo Rigidez Analsi Estructural Terminado

0

0

0

22

0

0

Page 40: Trabjo Rigidez Analsi Estructural Terminado

COLUMNA

E = 2173706.51192842 TN/m²A = 0.075 m²

I = 0.0005625

BARRA 6 20

1921

17

1618

E = 2173706.512 TN/m²A = 0.075 m²

I = 0.0005625L = 2.4 m

EA / L = 67928.329 9012 EI / L³= 1061.38 C = 0E+006 EI / L²= 1273.656 S = 14 EI /L = 2037.852 EI / L = 1018.925

RIGIDEZ EN COORDENADAS LOCALES

67928.329 0 0 -67928.329 0 00 1061.38 1273.656 0 -1061.38 1273.656

k 4 = 0 1273.656 2037.85 0 -1273.656 1018.925-67928.329 0 0 67928.329 0 0

0 -1061.38 -1273.656 0 1061.38 -1273.6560 1273.656 1018.925 0 -1273.656 2037.85

m 4

m 4

q =

Page 41: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ DE TRANSFORMACION

0 1 0 0 0 0-1 0 0 0 0 0

T = 0 0 1 0 0 00 0 0 0 1 00 0 0 -1 0 00 0 0 0 0 1

0 -1 0 0 0 0

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

MATRIZ DE RIGIDEZ EN COORDENADAS GLOBALES

16 17 18 19 20 2116 17 18 19 20 21

1061.38 0 -1273.656 -1061.38 0 -1273.656 16

0 67928.329 0 0 -67928.329 0 17

-1273.656 0 2037.85 1273.656 0 1018.925 18

-1061.38 0 1273.656 1061.38 0 1273.656 19

0 -67928.329 0 0 67928.329 0 20

-1273.656 0 1018.925 1273.656 0 2037.85 21

T T =

Page 42: Trabjo Rigidez Analsi Estructural Terminado

16

17

18

19

20

21

Page 43: Trabjo Rigidez Analsi Estructural Terminado

MATRIZ ENSAMBLADA (39*39)

1 2 3 4 5 6 71 1403.596 0 -1273.656 0 0 0 02 0 115051.181 -815.14 0 -543.427 -815.14 03 -1273.656 -815.14 5065.513 0 815.14 815.14 04 0 0 0 0 0 0 05 0 -543.427 815.14 0 115594.608 815.14 06 0 -815.14 815.14 0 815.14 6695.793 07 0 0 0 0 0 0 08 0 0 0 0 -543.427 815.14 09 0 0 0 0 -815.14 815.14 0

10 -1061.38 0 1273.656 0 0 0 011 0 -67928.329 0 0 0 0 012 -1273.656 0 1018.925 0 0 0 013 0 0 0 0 0 0 014 0 0 0 0 -67928.329 0 015 0 0 0 0 0 1018.925 016 0 0 0 0 0 0 017 0 0 0 0 0 0 018 0 0 0 0 0 0 0

Page 44: Trabjo Rigidez Analsi Estructural Terminado

8 9 10 11 12 13 14 150 0 -1061.38 0 -1273.656 0 0 00 0 0 -67928.329 0 0 0 00 0 1273.656 0 1018.925 0 0 00 0 0 0 0 0 0 0

-543.427 -815.14 0 0 0 0 -67928.329 0815.14 815.14 0 0 0 0 0 1018.925

0 0 0 0 0 0 0 047122.852 815.14 0 0 0 0 0 0

815.14 3027.663 0 0 0 0 0 00 0 55404.043 0 1273.656 0 0 00 0 0 68471.756 -815.14 0 -543.427 -815.140 0 1273.656 -815.14 2037.85 0 815.14 815.140 0 0 0 0 0 0 00 0 0 -543.427 815.14 0 69015.183 815.140 0 0 -815.14 815.14 0 815.14 5298.410 0 0 0 0 0 0

-67928.329 0 0 0 0 0 -543.427 815.140 1018.925 0 0 0 0 -815.14 815.14

Page 45: Trabjo Rigidez Analsi Estructural Terminado

16 17 180 0 00 0 00 0 00 0 00 -67928.329 00 0 00 0 00 -67928.329 00 0 1018.9250 0 00 0 00 0 00 0 00 -543.427 -815.140 815.14 815.140 0 00 68471.756 815.140 815.14 1630.28

Page 46: Trabjo Rigidez Analsi Estructural Terminado

APLICAMOS LA ECUACION EN COORDENADAS GLOBALES

P1 02 -5.283 2.94 05 -11.66 07 08 -5.289 0.409 = P

10 011 -3.4112 1.8713 014 -6.8215 016 017 -3.4118 1.87

Page 47: Trabjo Rigidez Analsi Estructural Terminado

ENCONTRANDO LOS DEZPLAZAMIENTOSP 1 2 3 4 5

0 1403.596 0 -1273.656 0 0-5.28 0 115051.181 -815.14 0 -543.4272.9 -1273.656 -815.14 5065.513 0 815.140 0 0 0 0 0

-11.6 0 -543.427 815.14 0 115594.6080 0 -815.14 815.14 0 815.140 0 0 0 0 0

-5.28 0 0 0 0 -543.4270.409 = 0 0 0 0 -815.14

0 -1061.38 0 1273.656 0 0-3.41 0 -67928.329 0 0 01.87 -1273.656 0 1018.925 0 0

0 0 0 0 0 0-6.82 0 0 0 0 -67928.329

0 0 0 0 0 00 0 0 0 0 0

-3.41 0 0 0 0 01.87 0 0 0 0 0

RESOLVIENDO

D1D2D3D4D5D6D7D8D9 =

D10D11D12D13D14D15

Page 48: Trabjo Rigidez Analsi Estructural Terminado

D16D17D18

Page 49: Trabjo Rigidez Analsi Estructural Terminado

K 6 7 8 9 10 11 12 130 0 0 0 -1061.38 0 -1273.656 0

-815.14 0 0 0 0 -67928.329 0 0815.14 0 0 0 1273.656 0 1018.925 0

0 0 0 0 0 0 0 0815.14 0 -543.427 -815.14 0 0 0 0

6695.793 0 815.14 815.14 0 0 0 00 0 0 0 0 0 0 0

815.14 0 47122.852 815.14 0 0 0 0815.14 0 815.14 3027.663 0 0 0 0

0 0 0 0 55404.043 0 1273.656 00 0 0 0 0 68471.756 -815.14 00 0 0 0 1273.656 -815.14 2037.85 00 0 0 0 0 0 0 00 0 0 0 0 -543.427 815.14 0

1018.925 0 0 0 0 -815.14 815.14 00 0 0 0 0 0 0 00 0 -67928.329 0 0 0 0 00 0 0 1018.925 0 0 0 0

Page 50: Trabjo Rigidez Analsi Estructural Terminado

14 15 16 17 180 0 0 0 0 10 0 0 0 0 20 0 0 0 0 30 0 0 0 0 4

-67928.329 0 0 -67928.329 0 50 0 0 0 0 60 0 0 0 0 70 0 0 -67928.329 0 80 0 0 0 1018.925 90 0 0 0 0 10 *

-543.427 0 0 0 0 11815.14 0 0 0 0 12

0 0 0 0 0 1369015.183 0 0 -543.427 -815.14 14

815.14 5298.41 0 815.14 815.14 150 0 0 0 0 16

-543.427 815.14 0 68471.756 815.14 17-815.14 815.14 0 815.14 1630.28 18

Page 51: Trabjo Rigidez Analsi Estructural Terminado

D1D2D3D4D5D6D7D8D9

D10D11D12D13D14D15D16D17D18

Page 52: Trabjo Rigidez Analsi Estructural Terminado

ENCONTRANDO LOS DEZPLAZAMIENTOSP 1 2 3 5 6

0 1 1403.596 0 -1273.656 0 0-5.28 2 0 115051.181 -815.14 -543.427 -815.142.9 3 -1273.656 -815.14 5065.513 815.14 815.14

-11.6 4 0 -543.427 815.14 115594.608 815.140 5 0 -815.14 815.14 815.14 6695.793

-5.28 6 0 0 0 -543.427 815.140.409 7 0 0 0 -815.14 815.14

0 8 -1061.38 0 1273.656 0 0-3.41 9 0 -67928.329 0 0 01.87 10 -1273.656 0 1018.925 0 0-6.82 11 0 0 0 -67928.329 0

0 12 0 0 0 0 1018.925-3.41 13 0 0 0 0 01.87 14 0 0 0 0 0

D1 = 0.003 1D2 = 0.000 2D3 = 0.001 3D5 = 0.000 4D6 = 0.000 5D8 = 0.000 6D9 = 0.000 7D10 = 0.000 8D11 = 0.000 9D12 = 0.002 10D14 = 0.000 11D15 = -0.001 12D17 = 0.000 13D18 = 0.002 14

Page 53: Trabjo Rigidez Analsi Estructural Terminado

K 8 9 10 11 12 14 15 170 0 -1061.38 0 -1273.656 0 0 00 0 0 -67928.329 0 0 0 00 0 1273.656 0 1018.925 0 0 0

-543.427 -815.14 0 0 0 -67928.329 0 -67928.329815.14 815.14 0 0 0 0 0 0

47122.852 815.14 0 0 0 0 0 -67928.329815.14 3027.663 0 0 0 0 0 0

0 0 55404.043 0 1273.656 0 0 00 0 0 68471.756 -815.14 -543.427 0 00 0 1273.656 -815.14 2037.85 815.14 0 00 0 0 -543.427 815.14 69015.183 0 -543.4270 0 0 -815.14 815.14 815.14 5298.41 815.14

-67928.329 0 0 0 0 -543.427 815.14 68471.7560 1018.925 0 0 0 -815.14 815.14 815.14

Page 54: Trabjo Rigidez Analsi Estructural Terminado

180 1 D10 2 D20 3 D30 5 D50 6 D60 8 D8

1018.925 9 D90 10 * D100 11 D110 12 D12

-815.14 14 D14815.14 15 D15815.14 17 D17

1630.28 18 D18

Page 55: Trabjo Rigidez Analsi Estructural Terminado

CALCULO DE4 LAS FUERZAS EN LSO ELEMENTOISBARRA1 28 29 30 1 2 3

342.216 0 -598.878 -342.216 0 -598.878 28 0 00 46579.425 0 0 -46579.425 0 29 0 0

F1 = -598.878 0 1397.383 598.878 0 698.6915 30 * 0 0-342.216 0 598.878 342.216 0 598.878 1 0 0

0 -46579.425 0 0 46579.425 0 2 0.0004 0-598.878 0 698.6915 598.878 0 1397.383 3 -0.0004 0

D1 = 0.0026D2 = -0.0001D3 = 0.0008D5 = 0.0001D6 = -0.0001D8 = 0.0004D9 = -0.0004D10 = 0.0000D11 = -0.0002D12 = 0.0021D14 = 0.0000

0.26219906 28-20.4079472 29

F1= -0.30589912 30-0.26219906 120.4079472 2

-0.61179823 3

Page 56: Trabjo Rigidez Analsi Estructural Terminado

BARRA2

0 0 0 0 5 631 32 33 4 5 6

342.216 0 -598.878 -342.216 0 -598.878 31 0 00 46579.425 0 0 -46579.425 0 32 0 0

F2 = -598.878 0 1397.383 598.878 0 698.6915 33 0 * 0-342.216 0 598.878 342.216 0 598.878 4 0 0

0 -46579.425 0 0 46579.425 0 5 5 0.0001-598.878 0 698.6915 598.878 0 1397.383 6 6 -0.0001

0.07630865 31-5.77599545 32-0.08902683 33

F2= -0.07630865 45.77599545 5

-0.17805365 6

Page 57: Trabjo Rigidez Analsi Estructural Terminado

0