Centroide Plastico

CÁLCULO DEL CENTROIDE PLÁSTICO f'c = L=

t = B=

210 600 cm

PARA EL CONCRETO:

 = 0.85′  ∗ 

Fuerza (kg) Concreto

25 cm 200 cm

Momento (kg-m)

 2.35

345843 7.5

  =   ∗ 

8 1 2 7 3 2 8 .1 3

PARA EL ACERO: Para calcular la fuerza por cada capa:

 = 4200 − 0.85 ∗  ′  ∗ A s Para calcular el momento por cada capa:

  =  ∗  

capa

Ø

AØ

No. Varrillas

As

Fuerza(kg)

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

1 1 1 1 1 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 3/8 1 1 1 1 1 3/8 3/8

5.1 5.1 5.1 5.1 5.1 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 5.1 5.1 5.1 5.1 5.1 0.71 0.71

3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 6 6

1 5.3 1 0.2 1 0.2 1 0.2 1 5.3 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 .4 2 1 0.2 1 0.2 1 0.2 2 5.5 2 5.5 4 .2 6 4 .2 6

6 1 5 28 .9 5 4 1 0 1 9 .3 4 1 0 1 9 .3 4 1 0 1 9 .3 6 1 5 28 .9 5 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 5 7 1 0 .5 3 4 1 0 1 9 .3 4 1 0 1 9 .3 4 1 0 1 9 .3 10254 548 8 .2 5 10254 548 8 .2 5 1 7 1 31 .5 9 1 7 1 31 .5 9 699901.86

Σ=

Finalmente, calculamos en centroide plástico en dirección de X:

 =

. . + +

= . +

2.38 m

Brazo(m)

5.95 5.825 5.7 5.575 5.45 5.3 5 4.7 4.4 4.1 3.8 3.5 3.2 2.9 2.6 2.3 2 1.7 1.4 1.1 0.8 0.65 0.5 0.35 0.2 0.05 0.2 0.05 Σ=

Momento (kg-m)

366097.2525 238937.4225 233810.01 228682.5975 335332.7775 30265.809 28552.65 26839.491 25126.332 23413.173 21700.014 19986.855 18273.696 16560.537 14847.378 13134.219 11421.06 9707.901 7994.742 6281.583 4568.424 26662.545 20509.65 14356.755 20509.65 5127.4125 3426.318 856.5795 1772982.83

Centroide Plastico

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