CALCULAR LAS REACCIOENES Y DIBUJAR LOS DMF, DFC

50 KN/M

A B C D

METODO DE CROSS

CALCULO DEL FACTOR DE DISTRIBUCION

TRAMO I L K=I/L FD

AB 1 20 0.04 0.43 3/4K

BC 1 20 0.05 0.57

0.09

BC 1 20 0.05 0.57

CD 1 20 0.04 0.43 3/4K

0.09

CALCULO DE LOS MEP

TRAMO W P a b L MEP MEP

AB 50 20.00 Wl2/12 1,666.67

BA 50 20.00 Wl2/12 1,666.67

BC 50 20.00 Wl2/12 1,666.67

CB 50 20.00 Wl2/12 1,666.67

CD 50 20.00 Wl2/12 1,666.67

DC 50 20.00 Wl2/12 1,666.67

I=1 I=1 I=1

20.00 20.0020.00

0.43 0.57 0.57 0.43

-1,666.67 1,666.67 -1,666.67 1,666.67 -1,666.67 1,666.67

1,666.67 833.34 -833.34 -1,666.67

-358.34 -475.00 475.00 358.34

237.50 -237.50

-102.13 -135.38 135.38 102.13

67.69 -67.69

-29.11 -38.58 38.58 29.11

19.29 -19.29

-8.29 -11.00 11.00 8.29

5.50 -5.50

-2.37 -3.14 3.14 2.37

1.57 -1.57

-0.68 -0.89 0.89 0.68

0.45 -0.45

-0.19 -0.26 0.26 0.19

0.13 -0.13

-0.06 -0.07 0.07 0.06

0.04 -0.04

-0.02 -0.02 0.02 0.02

MOMENTOS FLECTORES FINALES - 1998.82 -1,998.84 1998.84 -1,998.82 - KN-M

CALCULO DE LAS REACCIONES

MF FINALES

L

CORTANTES (1) -99.94 99.94 - 0 99.94 -99.94

CORTANTES (2) 500.00 500.00 500.00 500.00 500.00 500.00

(1)+(2) 400.06 599.94 500.00 500.00 599.94 400.06

CORTANTES FINALES 400.06 -599.94 500.00 -500.00 599.94 -400.06 KN

REACCIONES 400.06 400.06 KN1,099.94 1,099.94

1998.82 0.00 -1998.82

20 20 20

CALCULO DE LOS CORTANTES COMO VIGAS SIMPLEMENTE APOYADAS

TRAMO W P a b L V V

AB 50 20.00 Wl/2 500.00

BA 50 20.00 Wl/2 500.00

BC 50 20.00 Wl/2 500.00

CB 50 20.00 Wl/2 500.00

CD 50 20.00 Wl/2 500.00

DC 50 20.00 Wl/2 500.00

DMF, DFC

NUDO A B C

P -400.06 -1,099.94 -1,099.94

w1 50.00 50.00 50.00

w2 50.00 50.00 50.00

M - - -

L 20.00 20.00 20.00

L+ 20.00 40.00 60.00

n 10.00 10.00 10.00

x 2.00 2.00 2.00

n x V x V x V

- - 400.06 - 500.00 - 599.94

1 2.00 300.06 2.00 400.00 2.00 499.94

2 4.00 200.06 4.00 300.00 4.00 399.94

3 6.00 100.06 6.00 200.00 6.00 299.94

4 8.00 0.06 8.00 100.00 8.00 199.94

5 10.00 -99.94 10.00 - 10.00 99.94

6 12.00 -199.94 12.00 -100.00 12.00 -0.06

7 14.00 -299.94 14.00 -200.00 14.00 -100.06

8 16.00 -399.94 16.00 -300.00 16.00 -200.06

9 18.00 -499.94 18.00 -400.00 18.00 -300.06

10 20.00 -599.94 20.00 -500.00 20.00 -400.06

n x V x V x V

- - 400.06 20.00 500.00 40.00 599.94

1 2.00 300.06 22.00 400.00 42.00 499.94

2 4.00 200.06 24.00 300.00 44.00 399.94

3 6.00 100.06 26.00 200.00 46.00 299.94

4 8.00 0.06 28.00 100.00 48.00 199.94

5 10.00 -99.94 30.00 - 50.00 99.94

6 12.00 -199.94 32.00 -100.00 52.00 -0.06

7 14.00 -299.94 34.00 -200.00 54.00 -100.06

8 16.00 -399.94 36.00 -300.00 56.00 -200.06

9 18.00 -499.94 38.00 -400.00 58.00 -300.06

10 20.00 -599.94 40.00 -500.00 60.00 -400.06

n x M x M x M

- - - - -1,998.80 - -1,998.80

1 2.00 700.12 2.00 -1,098.80 2.00 -898.92

2 4.00 1,200.24 4.00 -398.80 4.00 0.96

3 6.00 1,500.36 6.00 101.20 6.00 700.84

4 8.00 1,600.48 8.00 401.20 8.00 1,200.72

5 10.00 1,500.60 10.00 501.20 10.00 1,500.60

6 12.00 1,200.72 12.00 401.20 12.00 1,600.48

7 14.00 700.84 14.00 101.20 14.00 1,500.36

8 16.00 0.96 16.00 -398.80 16.00 1,200.24

9 18.00 -898.92 18.00 -1,098.80 18.00 700.12

10 20.00 -1,998.80 20.00 -1,998.80 20.00 -

n x M x M x M

- - - 20.00 -1,998.80 40.00 -1,998.80

1 2.00 700.12 22.00 -1,098.80 42.00 -898.92

2 4.00 1,200.24 24.00 -398.80 44.00 0.96

3 6.00 1,500.36 26.00 101.20 46.00 700.84

4 8.00 1,600.48 28.00 401.20 48.00 1,200.72

5 10.00 1,500.60 30.00 501.20 50.00 1,500.60

6 12.00 1,200.72 32.00 401.20 52.00 1,600.48

7 14.00 700.84 34.00 101.20 54.00 1,500.36

8 16.00 0.96 36.00 -398.80 56.00 1,200.24

9 18.00 -898.92 38.00 -1,098.80 58.00 700.12

10 20.00 -1,998.80 40.00 -1,998.80 60.00 -

(800)

(600)

(400)

(200)

-

200

400

600

800

- 10 20 30 40 50 60 70

(2,500)

(2,000)

(1,500)

(1,000)

(500)

-

500

1,000

1,500

2,000

- 10 20 30 40 50 60 70