Ejemplo 2 Losa.pdf - EJEMPLO 2 CORTANTE EN LOSAS COLUMNA CUADRADA Una losa plana maciza de 25 cm de espesor est� apoyada en columnas cuadradas de 50 x

Ejemplo 2 Losa.pdf - EJEMPLO 2 CORTANTE EN LOSAS COLUMNA...

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Unformatted text preview: EJEMPLO 2: CORTANTE EN LOSAS - COLUMNA CUADRADA Una losa plana maciza de 25 cm de espesor está, apoyada en columnas cuadradas de 50 x 50 cm, con entreejes de 650 cm. Debe transmitirse en la columna B2 una fuerza cortante total última Vu = 50 ton y un momento flexionante Mu =15 ton-m, debidos a sismo. Verificar de acuerdo con las NTC, la capacidad de la losa para resistir cortante por penetración al rededor de la columna B2. De requerir refuerzo proponerlo. 1 2 L1 = L2 = h= d= A L2 650 cm 650 cm 25 cm 22 cm Materiales f'c = 350 kg/cm2 fy = 4200 kg/cm2 B L1 Vus = 50 ton Mus = 15 ton-m Sección crítica c1 + d = c2 + d = 50 + 22 = 72 cm Propiedades geométricas Acr = 2d (c1 + c2 +2d) Acr = 2*22(50+50+44) = 6336 cm2 ∗ = + ∗ + ∗ ∗ = 5,602,080 Fracción del Momento que debe transmitirse por cortante = 0.4 ∝ =1− . Cortantes últimos = ∗ + = ∗ - . ∗ . ∗ ∗ ∗ = 7.89 + 3.85 = 11.74 kg/ = 7.89 - 3.85 = 4.04 kg/ Cortante resistente v R = (0.5 + ) =1 = vR = 0.65*1.5 √350 = 18.24 kg/cm2 pero vR y FR = 0.65 ≤ = 0.65*√350 = 12.16 kg/cm2 (rige) v R > v u AB Por lo tanto el peralte es adecuado y no se requiere refuerzo adicional por cortante ...
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