cuantia

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Cuantia Balanceada fy 4200 Kg/cm^2 Es 2000000 Kg/cm^2 0.003 cm/cm 0.0021 cm/cm f'c 175 210 280 350 420 β1 0.85 0.85 0.85 0.8 0.75 ρb 0.0180 0.0216 0.0289 0.0333 0.0375 ρmin 0.00220 0.00242 0.00279 0.00312 0.00342 ZONA BAJA SISMICIDAD ρmax 0.0134 0.0162 0.0216 0.0250 0.0281 0.3216 0.3240 0.3240 0.3000 0.2813 Ku 41.0411 49.5301 66.0402 77.7735 88.6713 ZONA ALTA SISMICIDAD ρmaxs 0.0090 0.0108 0.0145 0.0167 0.0188 0.2160 0.2160 0.2168 0.2000 0.1875 Kus 29.6845 35.6214 47.6359 55.5660 63.0345 las cuantias balanceadas y cuantias maximas son aplicables solo a seccio sin acero en comprension Designacion Peso Diametro Area Kg/ml pulg cm cm^2 2 2 0.25 1/4" 0.64 0.32 0.63 3 0.56 3/8" 0.95 0.71 1.43 4 0.994 1/2" 1.27 1.27 2.53 5 1.552 5/8" 1.59 1.98 3.96 6 2.235 3/4" 1.91 2.85 5.70 8 3.973 1" 2.54 5.07 10.13 11 7.907 1 3/8" 3.49 9.58 19.16 6 mm 0.222 - 0.6 0.28 0.57 8 mm 0.395 - 0.8 0.50 1.01 12 mm 0.888 - 1.2 1.13 2.26 εcu εy ωmax ωmaxs

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Page 1: CUANTIA

Cuantia Balanceada

fy 4200 Kg/cm^2Es 2000000 Kg/cm^2

0.003 cm/cm0.0021 cm/cm

f'c 175 210 280 350 420 4501β 0.85 0.85 0.85 0.8 0.75 0.73bρ 0.0180 0.0216 0.0289 0.0333 0.0375 0.0391

minρ 0.00220 0.00242 0.00279 0.00312 0.00342 0.00354

ZONA BAJA SISMICIDADmaxρ 0.0134 0.0162 0.0216 0.0250 0.0281 0.0293

0.3216 0.3240 0.3240 0.3000 0.2812 0.2738Ku 41.0411 49.5301 66.0402 77.7735 88.6713 92.9621

ZONA ALTA SISMICIDADmaxsρ 0.0090 0.0108 0.0145 0.0167 0.0188 0.0196

0.2160 0.2160 0.2168 0.2000 0.1875 0.1825Kus 29.6845 35.6214 47.6359 55.5660 63.0345 65.9540

las cuantias balanceadas y cuantias maximas son aplicables solo a secciones rectangularessin acero en comprension

DesignacionPeso Diametro Area Area (cm^2)

Kg/ml pulg cm cm^2 2 32 0.25 1/4" 0.64 0.32 0.63 0.953 0.56 3/8" 0.95 0.71 1.43 2.144 0.994 1/2" 1.27 1.27 2.53 3.805 1.552 5/8" 1.59 1.98 3.96 5.946 2.235 3/4" 1.91 2.85 5.70 8.558 3.973 1" 2.54 5.07 10.13 15.20

11 7.907 1 3/8" 3.49 9.58 19.16 28.746 mm 0.222 - 0.6 0.28 0.57 0.858 mm 0.395 - 0.8 0.50 1.01 1.51

12 mm 0.888 - 1.2 1.13 2.26 3.39

εcuεy

maxω

maxsω

Page 2: CUANTIA

ϕ 0.9 FLEXIONϕ 0.85 CORTEϕ 0.85 TORSION

ϕ 0.75 REF. HELICOIDALϕ 0.7 REF. ESTRIBOS

Area (cm^2)4 5

1.27 1.582.85 3.565.07 6.337.92 9.90

11.40 14.2520.27 25.3438.32 47.901.13 1.412.01 2.514.52 5.65