Centroide Plastico

CÁLCULO DEL CENTROIDE PLÁSTICO f'c = L= 210 600 cm t= B= π‘“π‘’π‘’π‘Ÿπ‘§π‘Ž = 0.85𝑓 β€² 𝑐 βˆ— 𝐴𝑔 PARA EL CONCRETO: Concreto 25 cm

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Citation preview

CÁLCULO DEL CENTROIDE PLÁSTICO f'c = L=

210 600 cm

t= B=

π‘“π‘’π‘’π‘Ÿπ‘§π‘Ž = 0.85𝑓 β€² 𝑐 βˆ— 𝐴𝑔

PARA EL CONCRETO:

Concreto

25 cm 200 cm

π‘₯ 2.35

Fuerza (kg) 3458437.5

π‘€π‘œπ‘šπ‘’π‘›π‘‘π‘œ = πΉπ‘’π‘’π‘Ÿπ‘§π‘Ž βˆ— π‘₯

Momento (kg-m) 8127328.13

PARA EL ACERO: Para calcular la fuerza por cada capa: π‘“π‘’π‘’π‘Ÿπ‘§π‘Ž = 4200 βˆ’ 0.85 βˆ— 𝑓 β€² 𝑐 βˆ— As Para calcular el momento por cada capa: π‘€π‘œπ‘šπ‘’π‘›π‘‘π‘œ = πΉπ‘’π‘’π‘Ÿπ‘§π‘Ž βˆ— π΅π‘Ÿπ‘Žπ‘§π‘œ capa 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

Ø 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

AØ 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

No. Varrillas 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

As 15.3 10.2 10.2 10.2 15.3 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 1.42 10.2 10.2 10.2 25.5 25.5 4.26 4.26 Ξ£=

Fuerza(kg) 61528.95 41019.3 41019.3 41019.3 61528.95 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 5710.53 41019.3 41019.3 41019.3 102548.25 102548.25 17131.59 17131.59 699901.86

Finalmente, calculamos en centroide plΓ‘stico en direcciΓ³n de X: 𝑋𝑐𝑝 =

π‘€π‘π‘œπ‘›π‘. +π‘€π‘Žπ‘π‘’π‘Ÿπ‘œ = πΉπ‘π‘œπ‘›π‘. +π‘€π‘œπ‘Žπ‘π‘’π‘Ÿπ‘œ

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 Ξ£=

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