Primer Ejercicio Aii.Metodo De Muto

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PRIMER EJERCICIO AII.METODO DE MUTO 1 kc k"" a D K

1

2 0.5 0.75 1.5 42

2.00 0.80 1.19 2.39 66.78

1 kc k"" a D K

1.18

2 0.5 0.4 0.8 5.6

2 0.5 0.75 1.5 42

2.00 0.55 0.82 1.64 45.78

1 kc k"" a D K

H=400 H=600 H=300

2 0.5 0.4 0.8 12.6

kc k"" a D K

2.00 0.50 0.13 0.25 3.94

Do= 15.75 Do= 7 Do= 28 15 6

10

1.5

10 2

5

2.39

10

9

1.5

1.64

0.8

8

4

8

0.8

0.25

1

3

7

DISTRIBUCION DE CORTE

�_(5 −6) �_(1 −2)

�_(3 −4)

CALCULO DE LA CORTANTE EN CADA COLUMNA

4.08 Tn

6.05 Tn

32.76 Tn

�_(9 −10) �_(4 −5) �_(7 −8)

6.48 Tn

11.35 Tn

10.24 Tn

�_(12 −13) �_(8 −9)

15

4.08 Tn

6.48 Tn

10

10

11.35 Tn

12.37 Tn

32.76 Tn

10.24 Tn

6.05 Tn

8

PUNTOS DE INFLEXION

COL col1 - col2 col3 - col4 col4 - col5 col5 - col6 col7 - col8 col8 - col9 col9 - col10 col11- col12 col12 - col13

Kinf K Ksup

-

Yo inf Yo Yo sup

K 0.50 0.50 0.50 0.50 0.50 0.55 0.80 0.79 0.55

h col 6.00 4.00 3.00 3.00 4.00 3.00 3.00 6.00 3.00

α1 1 1 1.18 1.85 0.85

α2 0 0.75 1 0 0.75 1 0 0 0

0.7 0.79 0.8

0.7 Yo 0.65

=

α3 0 0 1.33 1 0 1.33 1 0 2

Yo 0.65 0.65 0.65 0.65 0.65 0.73 0.65 0.66 0.73

Y1 0 0 0 0 0

MOMENTOS EN LAS COLUMNAS

COL col1 - col2 col3 - col4 col4 - col5 col5 - col6 col7 - col8 col8 - col9 col9 - col10 col11- col12 col12 - col13

V 6.05 Tn 32.76 Tn 11.35 Tn 4.08 Tn 10.24 Tn 12.37 Tn 6.48 Tn 5.24 Tn 4.44 Tn

h col 6.00 4.00 3.00 3.00 4.00 3.00 3.00 6.00 3.00

Y 0.65 0.65 0.65 0.65 0.65 0.73 0.65 0.66 0.73

1-Y 0.35 0.35 0.35 0.35 0.35 0.27 0.35 0.34 0.27

Mcol abajo Mcol arriba 23.60 12.71 85.18 45.87 22.12 11.91 7.95 4.28 26.62 14.33 27.08 10.02 12.64 6.81 20.74 10.69 9.73 3.60

DIAGRAMA DE MOMENTOS EN COLUMNAS 4.28

4.08 Tn

12.71

6.48 Tn

11.91 7.95

12.64

11.35 Tn

12.37 Tn

6.05 Tn

45.87 22.12

27.08

32.76 Tn

10.24 Tn

85.18

26.62

23.60

1.54

1.40 3.40

4.28

6.51

3.40

19.86

8.61

12.71

22.65

21.88 67.99

41.42

ODO DE MUTO 2.00 0.55 0.82 1.64 45.78

kc K" a D K=

1.5 0.79 0.46 0.69 4.85

13

1.64

12

5.52 Tn/cm

0.69 4.63 Tn/cm

11

1.05 Tn/cm

CORTE

UMNA

_(12 13)

�_(8 −9)

4.44 Tn

12.37 Tn

43.00 Tn

15.00 Tn

�_(11 −12)

5.24 Tn

35.00 Tn

4.44 Tn

5.24 Tn

N -0.1 -0.01

=

Y2 0 0 0 0 0 0 0 -

Y3 0 0 0 0 0 0 0 0 0

0.05 Yo

Y 0.65 0.65 0.65 0.65 0.65 0.73 0.65 0.66 0.73

0.65

=

0.66

NAS

6.81

3.60

4.44 Tn

10.02

10.69 9.73

5.24 Tn

14.33

9.73

1.40 3.60

8.61

20.42

15.00 Tn

35.00 Tn

43.00 Tn