Osorio Quinte Denys- Porticos.xlsx

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E= N° ELEMENTO 1 2 3 4 5 6 7 8 9 10

200000 Mpa A= 1 cm2 ESCOGER COORDENADAS COORDENADA INICIO COORDENADA FNAL XN YN XF YF XN 0 4 2 2 1 0 4 2 0 4 2 2 3 4 7 2 0 3 4 10 2 0 2 2 13

DATOS PRELIMINARES I= GRADOS DE LIB INICIO YN 2 5 8 11 14

MATRICES LOCA

E= A= L= Cos = Sen = I=

E= A= L= Cos = Sen = I=

E= A= L= Cos = Sen = I=

200000 1 2.828427125 0.707106781 -0.707106781 0

200000 1 2.828427125 0.707106781 -0.707106781 0

200000 1 2.236067977 0.447213595 0.894427191 0

K1= K2= K3= K4= K5=

70710.6781 0 0 0 0

K1= K2= K3= K4= K5=

70710.6781 0 0 0 0

K1= K2= K3= K4= K5=

89442.7191 0 0 0 0

N° ELEMENTO 1 1 1 35355.3391 2 -35355.339 3 0 4 -35355.339 5 35355.3391 6 0 N° ELEMENTO 2 4 4 35355.3391 5 -35355.339 6 0 7 -35355.339 8 35355.3391 9 0 N° ELEMENTO 3 7 7 17888.5438 8 35777.0876 9 0 10 -17888.544 11 -35777.088 12 0 N° ELEMENTO 4

2 -35355.339 35355.3391 0 35355.3391 -35355.339 0 5 -35355.339 35355.3391 0 35355.3391 -35355.339 0 8 35777.0876 71554.1753 0 -35777.088 -71554.175 0

E= A= L= Cos = Sen = I=

E= A= L= Cos = Sen = I=

K=

200000 1 4.123105626 0.242535625 0.9701425 0

200000 1 2 0 1 0

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

K1= K2= K3= K4= K5=

48507.125 0 0 0 0

K1= K2= K3= K4= K5=

100000 0 0 0 0

1 35355.3391 -35355.339 0 -35355.339 35355.3391 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

2 -35355.339 35355.3391 0 35355.3391 -35355.339 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

10 10 2853.36029 11 11413.4412 12 0 13 -2853.3603 14 -11413.441 15 0 N° ELEMENTO 5 13 13 0 14 0 15 0 16 0 17 0 18 0

3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

4 -35355.339 35355.3391 0 70710.6781 -70710.678 0 -35355.339 35355.3391 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

11 11413.4412 45653.7647 0 -11413.441 -45653.765 0 14 0 100000 0 0 -100000 0 MATRIZ GLOBAL 5 35355.3391 -35355.339 0 -70710.678 70710.6781 0 35355.3391 -35355.339 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

28 29 30

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

CARGAS EN LOS NU

Pn=

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

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

NUDO 1 =

NUDO 2 =

NUDO 3 =

NUDO 4 =

Pe=

NUDO 5 =

NUDO 6 =

NUDO 7 =

NUDO 8 =

NUDO 9 =

NUDO 10 =

0.70710678 - -0.7071068 0 0.70710678 - 0.70710678 0 0.70710678 0 0 0.70710678 - -2.236068 0 0.70710678 0 0 0.70710678 -200000 0 0.70710678 - -0.2425356 0 0.70710678 0 0 0.70710678 -1 0 0.70710678 -1 0

DATOS PRELIMINARES GRADOS DE LIBERTAD INICIO M 3 6 9 12 15

X 4 7 10 13 16

FINAL Y 5 8 11 14 17

M 6 9 12 15 18

INERCIA

AREA

0 0 0 0 0 0 0 0 0 0

1 1 1 1 1 1 1 1 1 1

elijes un eje de coordenadas y le das sus reespectivas corrdenadas, le pones un orden a cada elemento y su grado de libertad correspondiente, enumeras los grados de libertad tal que las reacciones y apoyos nulos sean primero.

MATRICES LOCALES

N° ELEME 3 0 0 0 0 0 0

4 -35355.339 35355.3391 0 35355.3391 -35355.339 0

5 35355.3391 -35355.339 0 -35355.339 35355.3391 0

6 0 0 0 0 0 0

E= A= L= Cos = Sen = I=

200000 1 0 #DIV/0! #DIV/0! 0

K1= K2= K3= K4= K5=

#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

N° ELEME 6

8 35355.3391 -35355.339 0 -35355.339 35355.3391 0

9

0 0 0 0 0 0

7 -35355.339 35355.3391 0 35355.3391 -35355.339 0

11 -35777.088 -71554.175 0 35777.0876 71554.1753 0

12

0 0 0 0 0 0

10 -17888.544 -35777.088 0 17888.5438 35777.0876 0

0 0 0 0 0 0

E= A= L= Cos = Sen = I=

200000

E= A= L= Cos = Sen = I=

200000

1 0 #DIV/0! #DIV/0! 0

K1= K2= K3= K4= K5=

#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

K1= K2= K3= K4= K5=

#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

N° ELEME 9

0 0 0 0 0 0

1 0 #DIV/0! #DIV/0! 0

N° ELEME

12 0 0 0 0 0 0

13 -2853.3603 -11413.441 0 2853.36029 11413.4412 0

14 -11413.441 -45653.765 0 11413.4412 45653.7647 0

15 0 0 0 0 0 0

E= A= L= Cos = Sen = I=

200000 1 0 #DIV/0! #DIV/0! 0

K1= K2= K3= K4= K5=

#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

N° ELEMEN 15

16 0 0 0 0 0 0

17 0 0 0 0 0 0

0 -100000 0 0 100000 0

7 0 0 0 -35355.339 35355.3391 0 53243.8829 421.748581 0 -17888.544 -35777.088 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

8 0 0 0 35355.3391 -35355.339 0 421.748581 106909.514 0 -35777.088 -71554.175 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

18 0 0 0 0 0 0

E= A= L= Cos = Sen = I=

200000

10 0 0 0 0 0 0 -17888.544 -35777.088 0 20741.9041 47190.5288 0 -2853.3603 -11413.441 0 0 0 0 0 0 0 0 0 0 0 0 0

11 0 0 0 0 0 0 -35777.088 -71554.175 0 47190.5288 117207.94 0 -11413.441 -45653.765 0 0 0 0 0 0 0 0 0 0 0 0 0

1 0 #DIV/0! #DIV/0! 0

K1= K2= K3= K4= K5=

#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

13 0 0 0 0 0 0 0 0 0 -2853.3603 -11413.441 0 2853.36029 11413.4412 0 0 0 0 0 0 0 0 0 0 0 0 0

MATRIZ GLOBAL 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

CARGAS EN LOS NUDOS

0.70710678 0.70710678 0 -0.7071068 0.70710678 0 0 0.70710678 0 2.23606798 0.70710678 0 0 0.70710678 0 200000 0.70710678 0 0.24253563 0.70710678 0 0 0.70710678 0 1 0.70710678 0 1 0.70710678 0

0 0 1 0 0 1 0 0 1 0 0 1 4.33333333 4.83333333 5.33333333 5.83333333 6.33333333 6.83333333 7.33333333 7.83333333 8.33333333 8.83333333 9.33333333 9.83333333 10.3333333 10.8333333 11.3333333 11.8333333 12.3333333 12.8333333

X

1 2 3

+

X

+

X

+

X

+

X

+

X

+

X

+

X

+

X

+

X

+

0.70710678 -0.7071068 0.70710678 0.70710678 0 0

Pn G.D.L 1 2 3 4 5 6 7 8 9 10 11 12

CARGAS

N° ELEMENTO 6 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 7 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 8 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 9

G.D.L 13 14 15 16 17 18 19 20 21 22 23 24

CARGAS

G.D.L 25 26 27 28 29 30

NUDO

CARGAS N° 1

2

3

4

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

G.D.L 1 2 3 4 5 6 7 8 9 10 11 12

0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 10 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0!

14 0 0 0 0 0 0 0 0 0 -11413.441 -45653.765 0 11413.4412 145653.765 0 0 -100000 0 0 0 0 0 0 0 0 0 0

15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

17 0 0 0 0 0 0 0 0 0 0 0 0 0 -100000 0 0 100000 0 0 0 0 0 0 0 0 0 0

21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0

0 0 0

0 0 1

X

0 0 0

0 0 0

0 0 0

1 2 3

0 0 0

0 0 0

0 0 0

F F1

NUDO F2

N° 5

6

7

8

F G.D.L 13 14 15 16 17 18 19 20 21 22 23 24

F1

NUDO F2

N° 9

10

G.D.L 24 26 27 28 29 30

22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

F F1

F2

30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0

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