TAREA DISEÑO

7.18.- El eje que se muestra en la fgura soporta un engrane de 20 lb a la izquierda y uno de 3 lb a la dere!"a. Estime la primera #elo!idad !r$ti!a debida a las !argas% la #elo!idad !r$ti!a del eje sin las !argas y la #elo!idad !r$ti!a de la !ombina!i&n.

SOLUCIÓN

DIAGRAMAS CORTANTES Y FLEXIONANTES

x(in) 0 1 1 2 3 4 5 6 7  ! ! 10 11 12 13 14 15 15 16 "#M

 

M(lb.in )

d(in)

E(psi)

I(in^4)

0 21.875

2

30000000

0.785398163

2

30000000

0.785398163

M/E*I

∫(M/EI)dx

∫∫(M/EI)dxdx

y(in)

dy/dx (rad)

w

w*y

w*y^2

0

0

0

-1.35031E-08

-1.35031E-08

0

0

0

9 .28404E-07

4.64202E-07

0

-1.35031E-08

4.50699E-07

0.885929128

-1.19628E-08

1.61535E-16

2 1. 87 5

2 .4 72

3 00 00 00 0

1 .8 33 00 54 84

3 .9 77 98 E- 07

4 .6 42 02 E- 07

5 .4 15 69 E- 07

5 .2 80 66 E- 07

4 .5 06 99 E- 07

1 .3 53 43 03 86

7 .1 47 E- 07

3 .7 74 09 E- 13

4 3. 75

2 .4 72

3 00 00 00 0

1 .8 33 00 54 84

7 .9 55 97 E- 07

1 .0 60 9E -0 6

1 .2 59 95 E- 06

1 .2 46 45 E- 06

1 .0 47 4E -0 6

2 .7 06 86 07 71

3 .3 73 97 E- 06

4 .2 05 49 E- 12

4 5. 625

2. 47 2

3 00 00 000

1. 83 30 05 484

8. 29 694 E-0 7

1. 87 35 4E- 06

4 .1 61 E- 06

4 .1 47 5E- 06

1. 86 004 E-0 6

4. 06 02 9115 7

1. 68 401 E-0 5

6. 98 441 E-11

4 7. 5

2 .4 72

3 00 00 00 0

1 . 83 30 05 48 4

8 .6 37 91 E- 07

2 .7 20 29 E- 06

9 .1 68 49 E- 06

9 .1 54 98 E- 06

2 .7 06 78 E- 06

5 .4 13 72 15 42

4 .9 56 25 E- 05

4 .5 37 44 E- 10

4 9. 37 5

2 .4 72

3 00 00 00 0

1 .8 33 00 54 84

8 .9 78 88 E- 07

3 .6 011 3E -0 6

1 .6 43 4E -0 5

1 .6 42 04 E- 05

3 .5 87 62 E- 06

6 .7 67 15 19 28

0 .0 00 1111 2

1 .8 24 64 E- 09

5 1. 25

2 .4 72

3 00 00 00 0

1 .8 33 00 54 84

9 .3 19 85 E- 07

4 .5 16 06 E- 06

2 .6 04 83 E- 05

2 .6 03 48 E- 05

4 .5 02 56 E- 06

8 .1 20 58 23 14

0 .0 00 211 41 8

5 .5 04 23 E- 09

5 3. 12 5

2 .4 72

3 00 00 00 0

1 .8 33 00 54 84

9 .6 60 82 E- 07

5 .4 65 1E -0 6

3 .8 10 25 E- 05

3 .8 08 9E -0 5

5 .4 51 59 E- 06

9 .4 74 01 26 99

0 .0 00 36 08 56

1 .3 74 46 E- 08

55

2. 47 2

3 00 00 000

1. 83 30 05 484

1. 00 018 E-0 6

6. 44 82 3E- 06

5. 26 87 5E- 05

5 .2 67 4E- 05

6. 43 472 E-0 6

1 0. 82 74 43 08

0 .00 057 03 24

3. 004 13E -08

5 6. 87 5

2 .4 72

3 00 00 00 0

1 .8 33 00 54 84

1 .0 34 28 E- 06

7 .4 65 45 E- 06

6 .9 89 41 E- 05

6 .9 88 06 E- 05

7 .4 51 95 E- 06

1 2. 18 08 73 47

0 .0 00 85 12 07

5 .9 48 29 E- 08

5 6. 87 5

2 .7 62

3 00 00 00 0

2 . 85 66 99 74 3

6 .6 36 45 E- 07

7 .4 65 45 E- 06

7 .9 67 85 E- 05

7 .9 66 5E -0 5

7 .4 51 95 E- 06

1 5. 20 64 85 34

0 .0 01 211 42 5

9 .6 50 82 E- 08

5 8. 75

2 .7 62

3 00 00 00 0

2 . 85 66 99 74 3

6 .8 55 23 E- 07

8 .1 40 04 E- 06

8 .9 74 49 E- 05

8 .9 73 14 E- 05

8 .1 26 53 E- 06

1 6. 89 60 94 82

0 .0 01 51 61 1

1 .3 60 43 E- 07

6 0. 62 5

2 .7 62

3 00 00 00 0

2 .8 56 69 97 43

7 .0 74 01 E- 07

8 .8 36 5E -0 6

0 .0 00 1114 59

0 .0 00 1114 45

8 .8 23 E- 06

1 8. 58 57 04 31

0 .0 02 07 12 92

2 .3 08 36 E- 07

62 .5

2. 76 2

3 00 00 000

2. 85 66 99 743

7 .29 28E- 07

9. 55 48 4E- 06

0 .00 013 503

0 .0 00 13 501 7

9. 54 134 E-0 6

2 0. 27 53 13 79

0 .00 273 75 07

3. 696 09E -07

6 4. 37 5

2 .7 62

3 00 00 00 0

2 .8 56 69 97 43

7 .5 115 8E -0 7

1 .0 29 51 E- 05

0 .0 00 16 05 17

0 .0 00 16 05 04

1 .0 28 16 E- 05

2 1. 96 49 23 27

0 .0 03 52 54 49

5 .6 58 47 E- 07

6 6. 25

2 .7 62

3 00 00 00 0

2 . 85 66 99 74 3

7 .7 30 37 E- 07

1 .1 05 72 E- 05

0 .0 00 18 79 78

0 .0 00 18 79 64

1 .1 04 37 E- 05

2 3. 65 45 32 75

0 .0 04 44 62 1

8 .3 57 29 E- 07

3 3. 12 5

2 .7 62

3 00 00 00 0

2 .8 56 69 97 43

3 .8 65 18 E- 07

1 .1 63 69 E- 05

0 .0 00 21 74 03

0 .0 00 21 73 89

1 .1 62 34 E- 05

2 5. 34 41 42 23

0 .0 05 50 95 47

1 .1 97 72 E- 06

3 3. 125

2

3 00 00 000

0. 78 53 98 163

1. 40 587 E-0 6

1. 16 36 9E- 05

0. 00 023 28 22

0 .0 00 23 280 9

1. 16 234 E-0 5

1 3. 28 89 36 92

0 .00 309 37 79

7. 202 59E -07

0

2

30000000

0.785398163

0

1.23399E-05

0.000248455

0.000248442

1.23264E-05

14.17486605

0.003521628

8.74919E-07

0.029808351

5.13859E-06

CÁLCULO DE LA VELOCIDAD CRÍTICA:

ω=

ω=

√∑

g∗∑ w i∗ y 1

√

wi∗ y 1

2

386∗0.029808351 −6

5. 13859∗10

ω =1496.375691 ω =1 4289 RPM 

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