80
a= 3 a= 3 b= 7 b= 7 Tipo A Tipo A Weight= 5 Weight= 5 Longitud= 10 Longitud= 8 A B Inercia= 1.5 Inercia= 1 FD 0.55 0.45 EF 41.67 -41.67 26.67 MNE MD 8.18 6.82 MT 4.09 0 2.39 MNE MD -1.30 -1.09 MT -0.65 0 -0.6 MNE MD 0.33 0.27 MT 0.16 0.00 0.24 MNE MD -0.13 -0.11 MT -0.06 0.00 -0.06 MNE MD 0.03 0.03 MT 0.02 0.00 0.02 MNE MD -0.01 -0.01 MT -0.01 0.00 -0.01 MNE MD 0.00 0.00 MT 0.00 0.00 0.00 MNE MD 0.00 0.00 MT 0.00 0.00 0.00 MNE ∑= 45.22 -34.57 34.57 -15.00 2.39 0.24 -0.06 0.02 -0.01 0.00 -0.60 0.00

Metodo de Cross excel

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Page 1: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo A Tipo A

Weight= 5 Weight= 5

Longitud= 10 Longitud= 8

A B

Inercia= 1.5 Inercia= 1

FD 0.55 0.45

EF 41.67 -41.67 26.67

MNE

MD 8.18 6.82

MT 4.09 0 2.39

MNE

MD -1.30 -1.09

MT -0.65 0 -0.6

MNE

MD 0.33 0.27

MT 0.16 0.00 0.24

MNE

MD -0.13 -0.11

MT -0.06 0.00 -0.06

MNE

MD 0.03 0.03

MT 0.02 0.00 0.02

MNE

MD -0.01 -0.01

MT -0.01 0.00 -0.01

MNE

MD 0.00 0.00

MT 0.00 0.00 0.00

MNE

MD 0.00 0.00

MT 0.00 0.00 0.00

MNE

∑= 45.22 -34.57 34.57

-15.00

2.39

0.24

-0.06

0.02

-0.01

0.00

-0.60

0.00

Page 2: Metodo de Cross excel
Page 3: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo A Tipo A

Weight= 5 Weight= 5

Longitud= 5 Longitud= 4

C D

Inercia= 1.5 Inercia= 2

0.29 0.71 0.38 0.63

-26.67 10.42 -10.42 6.67 -6.67

4.78 11.47 1.41 2.34

3.41 0.70 5.74 0.00 1.17

-1.21 -2.90 -2.15 -3.58

-0.54 -1.08 -1.45 0 -1.79

0.48 1.14 0.54 0.91

0.14 0.27 0.57 0 0.45

-0.12 -0.29 -0.21 -0.36

-0.05 -0.11 -0.14 0.00 -0.18

0.05 0.11 0.05 0.09

0.01 0.03 0.06 0.00 0.05

-0.01 -0.03 -0.02 -0.04

-0.01 -0.01 -0.01 0.00 -0.02

0.00 0.01 0.01 0.01

0.00 0.00 0.01 0.00 0.00

0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00

-19.74 19.74 -6.04 6.04 -6.98

-16.25 -3.75

4.11 5.74

0.41 0.57

-0.16 -0.14

0.04

-0.02 -0.01

0.00 0.00

-1.45-1.62

0.00 0.01

0.06

Page 4: Metodo de Cross excel
Page 5: Metodo de Cross excel

TIPO

A

(W)*(L^2)/(12)

41.67

Tipo

B

((P)(L))/(8)

6.25

L/2

Tipo

C P

(P)*(a)*(b^2)/((L^2))

7.35

a b

Tipo

D

((11)*(w)*(L^2))/((192))

28.65

L/2 L/2

L/2

Claro A-B

w(t/m)

P

w

Page 6: Metodo de Cross excel
Page 7: Metodo de Cross excel

Tipo

A

-41.67 26.67

Tipo

B

-6.25 5

L/2 L/2

Tipo P

C

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2))

-3.15 11.484375

a b

Tipo

D

((5)*(W)*(L^2))/((192)) ((11)*(w)*(L^2))/((192))

13.02 18.33

L/2 L/2

Claro B-C

w(t/m)

((P)(L))/(8)

P

(W)*(L^2)/(12)

w

Page 8: Metodo de Cross excel
Page 9: Metodo de Cross excel

Tipo

A

-26.67 10.42

Tipo

B

-5 3.125

L/2 L/2

Tipo

C P

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2))

-4.921875 29.4

a b

Tipo

D

((5)*(W)*(L^2))/((192)) ((11)*(w)*(L^2))/((192))

8.33 7.16

L/2 L/2

Claro C-D

w(t/m)

P

((P)(L))/(8)

(W)*(L^2)/(12)

w

Page 10: Metodo de Cross excel
Page 11: Metodo de Cross excel

Tipo

A

-10.42 6.67

Tipo

B

-3.125 2.5

L/2

Tipo

C

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2)) P

-12.6 45.9375

a

Tipo

D

((5)*(w)*(L^2))/((192)) ((11)*(w)*(L^2))/((192))

-3.26 4.58

L/2 L/2

Claro C-D Claro D-E

w(t/m)

P

(W)*(L^2)/(12)

((P)(L))/(8)

w

Page 12: Metodo de Cross excel
Page 13: Metodo de Cross excel

-6.67

-2.5

L/2

(P)*(a)*(b^2)/((L^2))

-45.9375

b

-2.08

L/2

Claro D-E

w(t/m)

P

(W)*(L^2)/(12)

((P)(L))/(8)

((5)*(w)*(L^2))/((192))

Page 14: Metodo de Cross excel
Page 15: Metodo de Cross excel
Page 16: Metodo de Cross excel
Page 17: Metodo de Cross excel
Page 18: Metodo de Cross excel
Page 19: Metodo de Cross excel
Page 20: Metodo de Cross excel
Page 21: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo B Tipo A

Weight= 20 Weight= 5

Longitud= 10 Longitud= 8

A B

Inercia= 1 Inercia= 1

FD 0.38 0.63

EF 0 -37.5 26.7

MNE

MD 4.1 6.8

MT 0 0.0 2.4

MNE

MD -0.9 -1.5

MT 0 0.0 11.2

MNE

MD -4.2 -7.0

MT 0 0.0 0.4

MNE

MD -0.1 -0.2

MT 0 0.0 1.8

MNE

MD -0.7 -1.1

MT 0 0.0 0.1

MNE

MD 0.0 0.0

MT 0 0.0 0.3

MNE

MD -0.1 -0.2

MT 0 0.0 0.0

MNE

MD 0.0 0.0

MT 0 0.0 0.0

MNE

∑= 0.00 -39.53 39.58

0.0

0.0

0.3

0.1

1.8

0.4

2.4

11.2

-10.8

Page 22: Metodo de Cross excel
Page 23: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo A Tipo A

Weight= 5 Weight= 20

Longitud= 5 Longitud= 10

C D

Inercia= 1.5 Inercia= 2

0.29 0.71 0.67 0.33

-26.7 10.4 -10.4 250.0 0

4.8 11.5 -159.7 -79.9

3.4 -79.9 5.7 0.0 0

22.5 54.0 -3.8 -1.9

-0.7 -1.9 27.0 0.0 0

0.8 1.9 -18.0 -9.0

-3.5 -9.0 0.9 0.0 0

3.7 8.8 -0.6 -0.3

-0.1 -0.3 4.4 0.0 0

0.1 0.3 -2.9 -1.5

-0.6 -1.5 0.2 0.0 0

0.6 1.4 -0.1 0.1

0.0 -0.1 0.7 0.0 0

0.0 0.1 -0.5 0.0

-0.1 -0.2 0.0 0.0 0

0.1 0.2 0.0 0.0

0.0 0.0 0.1 0.0 0

4.23 -4.24 -157.03 157.49 0.00

-0.3 0.0

0.0 0.1

-0.1 0.7

-2.0 0.2

-0.4 4.4

-12.5 0.9

-76.5 5.7

-2.7 27.0

-16.3 239.6

Page 24: Metodo de Cross excel
Page 25: Metodo de Cross excel

P

L/2

P

a b

L/2 L/2

W

L/2

Claro A-B

w(t/m)

Page 26: Metodo de Cross excel
Page 27: Metodo de Cross excel

Tipo Tipo

A A

((W)*(L^2))/(8) (W)*(L^2)/(12)

-40.00 26.67

Tipo Tipo

B B

3PL/16 ((P)(L))/(8)

-37.5 5

L/2 L/2

Tipo Tipo P

C C

M=(P)(ab)*(b+L)/(2L^2) (P)*(a)*(b^2)/((L^2))

-35.7 11.484375

a b

Tipo Tipo

D D

(9WL^2)/(128) ((11)*(w)*(L^2))/((192))

140.63 18.33

L/2 L/2

w

P

Claro B-C

w(t/m)

Page 28: Metodo de Cross excel
Page 29: Metodo de Cross excel

Tipo

A

-26.67 10.42

Tipo

B

-5 3.125

L/2 L/2

Tipo

C P

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2))

-3.15 29.4

a b

Tipo

D

(5)*(W)*(L^2)/(192) ((11)*(w)*(L^2))/((192))

-8.33 7.16

L/2 L/2 L/2

w

(W)*(L^2)/(12)

P

((P)(L))/(8)

Claro B-C Claro C-D

w(t/m)

Page 30: Metodo de Cross excel
Page 31: Metodo de Cross excel

Tipo

A

(W)*(L^2)/(12) ((W)*(L^2))/(8)

-10.42 250.00

Tipo

B

((P)(L))/(8) 3PL/16

-3.125 37.5

Tipo

C

(P)*(a^2)*(b)/((L^2)) M=(P)(ab)*(b+L)/(2L^2)

-12.6 35.7

Tipo

D

((5)*(W)*(L^2))/((192)) (9)(W)(L^2)/(128)

8.33 140.63

L/2

Claro C-D Claro D-E

Page 32: Metodo de Cross excel
Page 33: Metodo de Cross excel

L/2 L/2

P

a b

L/2 L/2

w

P

Claro D-E

w(t/m)

Page 34: Metodo de Cross excel
Page 35: Metodo de Cross excel
Page 36: Metodo de Cross excel
Page 37: Metodo de Cross excel
Page 38: Metodo de Cross excel
Page 39: Metodo de Cross excel
Page 40: Metodo de Cross excel
Page 41: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo B Tipo A

Weight= 20 Weight= 5

Longitud= 10 Longitud= 8

A B

Inercia= 1 Inercia= 1

FD 0.38 0.63

EF 0 -37.5 26.7

MNE

MD 4.1 6.8

MT 0 0.0 2.4

MNE

MD -0.9 -1.5

MT 0 0.0 0.7

MNE

MD -0.3 -0.4

MT 0 0.0 0.4

MNE

MD -0.1 -0.2

MT 0 0.0 0.1

MNE

MD 0.0 -0.1

MT 0 0.0 0.1

MNE

MD 0.0 0.0

MT 0 0.0 0.0

MNE

MD 0.0 0.0

MT 0 0.0 0.0

MNE

MD 0.0 0.0

MT 0 0.0 0.0

MNE

∑= 0.00 -34.80 34.80

-10.8

2.4

0.7

0.4

0.1

0.1

0.0

0.0

0.0

Page 42: Metodo de Cross excel
Page 43: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo A Tipo B

Weight= 5 Weight= 20

Longitud= 5 Longitud= 10

C D

Inercia= 1.5 Inercia= 2

0.29 0.71 0.60 0.40

-26.7 10.4 -10.4 37.5 0

4.8 11.5 -16.3 -10.8

3.4 -8.1 5.7 0.0 -5

1.4 3.3 -3.4 -2.3

-0.7 -1.7 1.7 0.0 -1

0.7 1.7 -1.0 -0.7

-0.2 -0.5 0.9 0.0 -0.3

0.2 0.5 -0.5 -0.3

-0.1 -0.3 0.3 0.0 -0.2

0.1 0.3 -0.2 -0.1

0.0 -0.1 0.1 0.0 -0.1

0.0 0.1 -0.1 0.1

0.0 0.0 0.0 0.0 0.03

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

-17.14 17.13 -23.17 23.30 -7.10

-16.3 27.1

-4.7 5.7

-2.5 1.7

-0.7 0.9

-0.4 0.3

-0.1 0.1

-0.1 0.0

0.0 0.0

0.0 0.0

Page 44: Metodo de Cross excel
Page 45: Metodo de Cross excel

P

L/2

P

a b

L/2 L/2

Claro A-B

w(t/m)

L/2

W

Page 46: Metodo de Cross excel
Page 47: Metodo de Cross excel

Tipo Tipo

A A

((W)*(L^2))/(8) (W)*(L^2)/(12)

-40.00 26.67

Tipo Tipo

B B

3PL/16 ((P)(L))/(8)

-37.5 5

L/2 L/2

Tipo Tipo P

C C

M=(P)(ab)*(b+L)/(2L^2) (P)*(a)*(b^2)/((L^2))

-35.7 11.484375

a b

Tipo Tipo

D D

(9WL^2)/(128) ((11)*(w)*(L^2))/((192))

140.63 18.33

L/2 L/2

Claro B-C

w(t/m)

P

w

Page 48: Metodo de Cross excel
Page 49: Metodo de Cross excel

Tipo

A

-26.67 10.42

Tipo

B

-5 3.125

L/2 L/2

Tipo

C P

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2))

-3.15 29.4

a b

Tipo

D

(5)*(W)*(L^2)/(192) ((11)*(w)*(L^2))/((192))

-8.33 7.16

L/2 L/2 L/2

Claro B-C Claro C-D

w(t/m)

(W)*(L^2)/(12)

P

((P)(L))/(8)

w

Page 50: Metodo de Cross excel
Page 51: Metodo de Cross excel

Tipo

A

(W)*(L^2)/(12) ((W)*(L^2))/(8)

-10.42 250.00

Tipo

B

((P)(L))/(8) 3PL/16

-3.125 37.5

Tipo

C

(P)*(a^2)*(b)/((L^2)) M=(P)(ab)*(b+L)/(2L^2)

-12.6 35.7

Tipo

D

((5)*(W)*(L^2))/((192)) (9)(W)(L^2)/(128)

8.33 140.63

L/2

Claro C-D Claro D-E

Page 52: Metodo de Cross excel
Page 53: Metodo de Cross excel

L/2 L/2

P

a b

L/2 L/2

Claro D-E

w(t/m)

P

w

Page 54: Metodo de Cross excel
Page 55: Metodo de Cross excel
Page 56: Metodo de Cross excel
Page 57: Metodo de Cross excel
Page 58: Metodo de Cross excel
Page 59: Metodo de Cross excel
Page 60: Metodo de Cross excel
Page 61: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo A Tipo A

Weight= 5 Weight= 5

Longitud= 10 Longitud= 8

A B

Inercia= 1.5 Inercia= 1

FD 0.55 0.45

EF 41.67 -41.67 26.67

MNE

MD 8.18 6.82

MT 4.09 0 2.39

MNE

MD -1.30 -1.09

MT -0.65 0 -0.6

MNE

MD 0.34 0.28

MT 0.17 0.00 0.27

MNE

MD -0.15 -0.12

MT -0.07 0.00 -0.07

MNE

MD 0.04 0.03

MT 0.02 0.00 0.03

MNE

MD -0.02 -0.01

MT -0.01 0.00 -0.01

MNE

MD 0.00 0.00

MT 0.00 0.00 0.00

MNE

MD 0.00 0.00

MT 0.00 0.00 0.00

MNE

∑= 45.22 -34.57 34.57

-15.00

2.39

-0.62

0.27

-0.07

0.03

-0.01

0.00

0.00

Page 62: Metodo de Cross excel
Page 63: Metodo de Cross excel

a= 3 a= 3

b= 7 b= 7

Tipo A Tipo A

Weight= 5 Weight= 5

Longitud= 5 Longitud= 4

C D

Inercia= 1.5 Inercia= 2

0.29 0.71 0.44 0.56

-26.67 10.42 -10.42 6.67 0.00

4.78 11.47 1.67 2.08

3.41 0.83 5.74 0.00 0.00

-1.25 -2.99 -2.55 -3.19

-0.54 -1.27 -1.50 0 0.00

0.53 1.28 0.67 0.83

0.14 0.33 0.64 0 0.00

-0.14 -0.33 -0.29 -0.36

-0.06 -0.14 -0.17 0.00 0.00

0.06 0.14 0.07 0.09

0.02 0.04 0.07 0.00 0.00

-0.02 -0.04 -0.03 0.04

-0.01 -0.02 -0.02 0.00 0.00

0.01 0.02 0.01 0.00

0.00 0.00 0.01 0.00 0.00

0.00 0.00 0.00 0.00

0.00 0.00 0.00 0.00 0.00

-19.73 19.73 -6.10 6.17 0.00

-16.25 -3.75

4.24 5.74

-1.82 -1.50

0.47 0.64

-0.20 -0.17

0.05 0.07

-0.02 -0.02

0.01 0.01

0.00 0.00

Page 64: Metodo de Cross excel
Page 65: Metodo de Cross excel

TIPO

A

(W)*(L^2)/(12)

41.67

Tipo

B

((P)(L))/(8)

6.25

L/2

Tipo

C P

(P)*(a)*(b^2)/((L^2))

7.35

a b

Tipo

D

((11)*(w)*(L^2))/((192))

28.65

L/2 L/2

Claro A-B

w(t/m)

P

L/2

w

Page 66: Metodo de Cross excel
Page 67: Metodo de Cross excel

Tipo

A

-41.67 26.67

Tipo

B

-6.25 5

L/2 L/2

Tipo P

C

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2))

-3.15 11.484375

a b

Tipo

D

((5)*(W)*(L^2))/((192)) ((11)*(w)*(L^2))/((192))

13.02 18.33

L/2 L/2

Claro B-C

w(t/m)

P

(W)*(L^2)/(12)

((P)(L))/(8)

w

Page 68: Metodo de Cross excel
Page 69: Metodo de Cross excel

Tipo

A

-26.67 10.42

Tipo

B

-5 3.125

L/2 L/2

Tipo

C P

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2))

-4.921875 29.4

a b

Tipo

D

((5)*(W)*(L^2))/((192)) ((11)*(w)*(L^2))/((192))

8.33 7.16

L/2 L/2

Claro C-D

w(t/m)

(W)*(L^2)/(12)

P

((P)(L))/(8)

w

Page 70: Metodo de Cross excel
Page 71: Metodo de Cross excel

Tipo

A

-10.42 6.67

Tipo

B

-3.125 2.5

L/2

Tipo

C

(P)*(a^2)*(b)/((L^2)) (P)*(a)*(b^2)/((L^2)) P

-12.6 45.9375

a

Tipo

D

((5)*(w)*(L^2))/((192)) ((11)*(w)*(L^2))/((192))

-3.26 4.58

L/2 L/2

Claro C-D Claro D-E

w(t/m)

(W)*(L^2)/(12)

P

((P)(L))/(8)

w

Page 72: Metodo de Cross excel
Page 73: Metodo de Cross excel

-6.67

-2.5

L/2

(P)*(a^2)*(b)/((L^2))

19.6875

b

-2.08

L/2

Claro D-E

w(t/m)

((P)(L))/(8)

(W)*(L^2)/(12)

P

((5)*(w)*(L^2))/((192))

Page 74: Metodo de Cross excel
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Page 76: Metodo de Cross excel
Page 77: Metodo de Cross excel
Page 78: Metodo de Cross excel
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Page 80: Metodo de Cross excel