INERCIA LOSA (COLUMNA CENTRICA)

INERCIA EN EL CENTRO

sep = 50 cm A = 4 m ancho de influenciaLizq = 2 m bw = 10 cmLder = 2 m h = 20 cm

t = 5 cm

Numeor de nervios 8Inercia de nervios A1n = 2000 cm4 y1n = 2.5 cm

A2n = 150 cm4 y2n = 12.5 cm

yn = 6.25 cm

I1 = 32291.66667 cm4 I2 = 8671.875 cm4

In = 101666.6667 cm4

INERCIA EN EL ABACOhab = 20 cmLaba = 200 cm

Numeor de nervios 3

A1n = 2000 cm4 y1n = 2.5 cmA2n = 3000 cm4 y2n = 12.5 cmA3n = 150 cm5 y3n = 12.5 cm

yn = 8.83 cm

I1 = 84311.43563 cm4 I2 = 96650.639676795 cm4

I3 = 4832.531984 cm4 Ia-n = 195459.67125382 cm4

INERCIA EN LA COLUMNA

col = 30 cm ancho de columna

Icol = 228440.8137 cm4

INERCIA PONDERADA

Ln = 4 m La = 1.6 m Lcol = 0.4 m

Ipon = 135129.7444 cm4

4.DISEÑO ESTRUCTURAL:

4.1 DISEÑO A FLEXOCOMPRESIÓNCOLUMNA INTERMEDIA fyk [Kp/cm^2]

6000fck = 210 Kg/cm² γc = 1.4 fcd = 150 Kg/cm² 5000fyk = 4200 Kg/cm² γs = 1.1 fyd = 3818.2 Kg/cm² 4600

Es = 2100 Ton/cm² γf = 1.5 4200

4000

2150

PLANO XZ:

Col Ñ N [T]Columna inferior Columna superior

I [cm^4] I/L I [cm^4] I/L

3-B 0-1 199 2.46 0.08 50 30 4.8 112500 234 40 30 3.2 90000 2813-B 1-2 157 1.28 1.13 40 30 3.2 90000 281 35 35 3 125052 4173-B 2-3 119 1.48 1.16 35 35 3 125052.08 417 30 30 3 67500 2253-B 3-4 86.57 1.04 0.61 30 30 3 67500 225 30 30 3 67500 2253-B 4-5 72.01 1.23 1.34 30 30 3 67500 225 30 30 3 67500 2253-B 5-6 39.22 1.27 1.5 30 30 3 67500 225 0 0 0 0 0

Col Ñ N [T]Viga Derecha Coef. Giro PANDEO

I [cm^4] I/L Øi Øjk Hi Lo [cm]

3-B 0-1 199 2.46 0.08 25 40 5 135129.74 270 0.5 0.95 1.25 0.00 5773-B 1-2 157 1.28 1.13 20 40 5 135129.74 270 0.95 1.41 1.39 40.00 3903-B 2-3 119 1.48 1.16 20 40 5 135129.74 270 1.41 1.30 1.44 40.00 3753-B 3-4 86.57 1.04 0.61 20 40 5 135129.74 270 1.30 0.91 1.37 40.00 3563-B 4-5 72.01 1.23 1.34 20 40 5 135129.74 270 0.91 0.91 1.31 40.00 3423-B 5-6 39.22 1.27 1.5 20 40 5 135129.74 270 0.91 0.45 1.24 40.00 322

Col Ñ N [T] Ng [T]Columna Inferior Excentricidad en X Exc. Adicional x

Lo [m] i e b Ng/N

3-B 0-1 199 143.79 2.46 0.08 50 30 577 8.7 2 0.04 2.0 1.5 0.723-B 1-2 157 117.81 1.28 1.13 40 30 390 8.7 2.0 0.72 2.0 1.5 0.753-B 2-3 119 94.51 1.48 1.16 35 35 375 10.1 2 1.0 2.0 1.5 0.793-B 3-4 86.57 71.31 1.04 0.61 30 30 356 8.7 2 0.7 2.0 1.5 0.823-B 4-5 72.01 46.19 1.23 1.34 30 30 342 8.7 2 1.9 2.0 1.5 0.643-B 5-6 39.22 21.18 1.27 1.5 30 30 322 8.7 2 3.8 3.8 1.5 0.54

Tabla para : eNg/N Mayor a 0.7 Menor a 0.7

Mx [T-m]

My [T-m] b

[cm]h [cm]

L [m]

b [cm]

h [cm]

L [m]

Mx [T-m]

My [T-m] b

[cm]h [cm]

L [m]

Mx [T-m]

My [T-m] b

[cm]h [cm]

ex min ex

e 0.004 0.003

PLANO YZ:

Col Ñ N [T]Columna inferior Columna superior

I [cm^4] I/L I [cm^4] I/L

3-B 0-1 199 2.46 0.08 30 50 4.8 312500 651 30 40 3.2 160000 5003-B 1-2 157 1.28 1.13 30 40 3.2 160000 500 35 35 3 125052 4173-B 2-3 119 1.48 1.16 35 35 3 125052.08 417 30 30 3 67500 2253-B 3-4 86.57 1.04 0.61 30 30 3 67500 225 30 30 3 67500 2253-B 4-5 72.01 1.23 1.34 30 30 3 67500 225 30 30 3 67500 2253-B 5-6 39.22 1.27 1.5 30 30 3 67500 225 0 0 0 0 0

Col Ñ N [T]Viga Derecha Coef. Giro PANDEO

I [cm^4] I/L Øi Øjk Hi Lo [cm]

3-B 0-1 199 2.46 0.08 25 50 7 706457.37 1009 0.5 0.57 1.19 0.00 5443-B 1-2 157 1.28 1.13 25 50 7 706457.37 1009 0.57 0.45 1.19 50.00 3213-B 2-3 119 1.48 1.16 25 50 7 706457.37 1009 0.45 0.32 1.14 50.00 2863-B 3-4 86.57 1.04 0.61 25 50 7 706457.37 1009 0.32 0.22 1.10 50.00 2763-B 4-5 72.01 1.23 1.34 25 50 7 706457.37 1009 0.22 0.22 1.09 50.00 2713-B 5-6 39.22 1.27 1.5 25 50 7 726600.39 1038 0.22 0.11 1.06 50.00 266

Col Ñ N [T] Ng [T]Columna Inferior Excentricidad en y Exc. Adicional y

Lo [m] i e b Ng/N

3-B 0-1 199 143.79 2.46 0.08 30 50 544 14.435 2.50 1.24 2.50 1.5 0.723-B 1-2 157 117.81 1.28 1.13 30 40 321 11.548 2.00 0.82 2.00 1.5 0.753-B 2-3 119 94.51 1.48 1.16 35 35 286 10.105 2.00 1.24 2.00 1.5 0.793-B 3-4 86.57 71.31 1.04 0.61 30 30 276 8.661 2.00 1.20 2.00 1.5 0.823-B 4-5 72.01 46.19 1.23 1.34 30 30 271 8.661 2.00 1.71 2.00 1.5 0.643-B 5-6 39.22 21.18 1.27 1.5 30 30 266 8.661 2.00 3.24 3.24 1.5 0.54

Mx [T-m]

My [T-m] b

[cm]h [cm]

L [m]

b [cm]

h [cm]

L [m]

Mx [T-m]

My [T-m] b

[cm]h [cm]

L [m]

Mx [T-m]

My [T-m] b

[cm]h [cm]

ex min ey

fyk [Kp/cm^2] r [o/oo]

6000 45000 54600 5.4

4200 5.8 2 8 20 3.84000 6

2150 8

Para el caso que una de las excentricidades sea menor a la minima:

Viga Izquierda

Plano

Col Ñ N [T]Col. Inferior Excentricidad

b [cm] I [cm^4] I/L

25 40 5 135129.74 270 XY3-B 0-1 199.02

50 30 7.4320 40 6 135129.74 225 YZ 30 50 2.0020 40 6 135129.74 225 XY

3-B 1-2 156.7740 30 4.10

20 40 6 135129.74 225 YZ 30 40 0.0020 40 6 135129.74 225 XY

3-B 2-3 119.4235 35 2.00

20 40 6 135129.74 225 YZ 35 35 2.00XY

3-B 3-4 86.5730 30 2.00

YZ 30 30 2.00XY

3-B 4-5 72.0130 30 2.00

YZ 30 30 2.00PANDEO XY

3-B 5-6 39.2230 30 3.82

i lCOND.

EP: Existe Pandeo YZ 30 30 0.00NEP : No Existe Pandeo

8.661 66.62 EP8.661 45.029 EP

10.1045 37.112 EP8.661 41.104 EP8.661 39.487 EP8.661 37.178 EP 2 8 20 3.8

Para el caso donde las excentricidades sean mayores a la minima:METODO A FLEXION RECTA

Exc. Adicional x

PlanoCol Ñ N [T]

Col. Inferior Excentricidad

e

0.0040 0.002 7.39 XY3-B 0-1 199.02

50 30 0.000.0040 0.002 3.38 YZ 30 50 0.000.0040 0.002 2.61 XY

3-B 1-2 156.7740 30 0.00

0.0040 0.002 2.81 YZ 30 40 0.000.0030 0.002 2.15 XY

3-B 2-3 119.4235 35 0.00

0.0030 0.002 2.12 YZ 35 35 0.00XY

3-B 3-4 86.5730 30 0.00

YZ 30 30 0.00XY

3-B 4-5 72.0130 30 0.00

Menor a 0.7 YZ 30 30 0.00

rec [cm]

fe [mm]

fp [mm]

d' [cm]

h [cm]

L [m]

b [cm]

h [cm]

ei

rec [cm]

fe [mm]

fp [mm]

d' [cm]

ey eaxb

[cm]h [cm]

ei

0.003 XY3-B 5-6 39.22

30 30 0.00YZ 30 30 0.00

Viga Izquierda

b [cm] I [cm^4] I/L

25 50 7 706457.37 100925 50 7 706457.37 100925 50 7 706457.37 100925 50 7 706457.37 100925 50 7 706457.37 100925 50 7 726600.39 1038

PANDEO

i lCOND.

14.435 37.686 EP11.548 27.797 NEP

10.1045 28.304 NEP8.661 31.867 NEP8.661 31.29 NEP8.661 30.712 NEP

Exc. Adicional y

e

0.004 0 40.004 0 00.004 0 00.004 0 00.003 0 00.003 0 0

h [cm]

L [m]

ey eay

Para el caso que una de las excentricidades sea menor a la minima:

Excentricidad Plano xz Plano yzw

d'/h v w1 d'/h v w2

2.50 0.13 1.327 0.33 0.42 0.08 1.3268 0.07 0.27 0.42

4.99 0.13 1.327 0.09 0.27 0.08 1.3268 0.13 0.46 0.46

2.00 0.13 1.306 0.18 0.76 0.10 1.3064 0.07 0.63 0.76

0.00 0.00 0 0.00 0 0.00 0 0.00 0 0

2.00 0.11 0.975 0.06 0.28 0.11 0.9749 0.06 0.28 0.28

1.24 0.11 0.975 0.06 0 0.11 0.9749 0.03 0 0

2.00 0.13 0.962 0.06 0.27 0.13 0.9619 0.06 0.27 0.27

1.20 0.13 0.962 0.06 0 0.13 0.9619 0.04 0 0

2.00 0.13 0.8 0.05 0.08 0.13 0.8001 0.05 0.08 0.08

1.71 0.13 0.8 0.05 0 0.13 0.8001 0.05 0 0

3.24 0.13 0.436 0.06 0 0.13 0.4358 0.05 0 0

0.00 0.00 0 0.00 0 0.00 0 0.00 0 0

v 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9b 0.5 0.6 0.7 0.8 0.9 0.8 0.7 0.6 0.5 0.5

Para el caso donde las excentricidades sean mayores a la minima:

Excentricidad Plano xz Plano yzb a m w

Revision w>0.6

d'/h v d'/h v b+1 a

0.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 0

eia mx my

eia mx my

0.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 00.00 0.00 0.00 0.000 0.00 0 0 0 0 0.000 0 0 0

Col Ñ N [T]Col. Inferior

wb [cm] h [cm]

3-B 0-1 199.0250 30 0.4630 50

3-B 1-2 156.7740 30 0.7630 40

3-B 2-3 119.4235 35 0.2835 35

3-B 3-4 86.5730 30 0.2730 30

3-B 4-5 72.0130 30 0.0830 30

3-B 5-6 39.2230 30 0.0030 30

>=10.5

Revision w>0.6 Revision w<0.2w

m b-1 a m

0.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 00.00 0 0 0.00 0

0.00 0 0 0.00 00.00 0 0 0.00 0