Viga Flexión Simple (Método Parábola Rectángulo)

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Transcript of Viga Flexión Simple (Método Parábola Rectángulo)

viga1(c1-c2)DIMENSIONAMIENTO DE VIGASMTODO PARBOLA RECTNGULODatos Iniciales:Fck =210Kg/cm2c =1.5f =1.6Fyk =5000Kg/cm2s =1.15Fcd= Fck / cFyd = Fyk / sFcd =140Kg/cm2Fyd =4348Kg/cm2Fcd =1400ton/m2Fyd =43478ton/m2Mk =6.69ton*mMomento flector de servicio sin mayorarMd =f * MkMd =10.704ton*mMomento flector de diseo mayorado1. Predimensionamientoa) base b:b =12cmen funcin a la luz y a la experienciab =0.12mten otras obrasb) Altura h:h = d + ddmn = 2 * Mdb*Fcdd' =2.5De la tabla 9.2 del libro Hormign Armado decmJimenez Montoya para un H-21dmn =0.50mth =52.98cmdmn =50.48cmh =40cmd = h - d'RESUMEN:d =37.5cmh =45cm0.45mtb =12cm0.12mtd =42.5cm0.425mtd'=2.5cm0.025mtCaso 1:Canto igual o superior al mnimod dmnARMADURA DE TRACCIN = Md . . .b *d2 * Fcd =0.35 0.252Dominio 3No necesita armadura de compresin = * (1 + ) =0.477 =0.003De la tabla 14.3 en funcin de A = *b*d*(Fcd / Fyd)A =7.836cm2Area de clculo de traccin necesariaAmn = 0.04 *b*d*(Fcd / Fyd)Amn =0.657cm2Area de armadura mnimaA =0.823cm2AREA DE TRACCIN ADOPTADAN barras = A / Adimetro asumidoDimetroArea (cm2)N barras =1.043d = 10mm0.79N barras =0.731d = 12mm1.13N barras =0.410d = 16mm2.01N barras =0.260d = 20mm3.14N barras =0.170d = 25mm4.92ARMADURA DE COMPRESIN: (Por aspecto constructivo)Amn = 0.04 *b*d*(Fcd / Fyd)Amn =0.657cm2Area de armadura mnimaN barras = A / Adimetro asumidoDimetroArea (cm2)N barras =0.833d = 10mm0.79N barras =0.581d = 12mm1.13N barras =0.330d = 16mm2.01N barras =0.210d = 20mm3.14N barras =0.130d = 25mm4.92Caso 2:Canto inferior al mnimod < dmnRESUMEN:h =40cm0.4mtb =12cm0.12mtd =37.5cm0.375mtd'=2.5cm0.025mt = Md . . .b *d2 * Fcd =0.45> 0.252Dominio 4Necesita armadura de compresinARMADURA DE COMPRESIN: = 0.252 = d' / d1 =0.067 =0.2154421769ARMADURA DE TRACCIN:A = *b*d*(Fcd / Fyd) = + 0.31A =3.122cm2Area de clculo de traccin necesariaAmn = 0.04 *b*d*(Fcd / Fyd)Amn =0.580cm2Area de armadura mnimaA =3.122cm2AREA DE TRACCIN ADOPTADAN barras = A / Adimetro asumidoDimetroArea (cm2)N barras =3.954d = 10mm0.79N barras =2.763d = 12mm1.13N barras =1.552d = 16mm2.01N barras =0.991d = 20mm3.14N barras =0.631d = 25mm4.92ARMADURA DE TRACCIN: = + 0.31 =0.525A = *b*d*(Fcd / Fyd)A =7.614cm2Area de clculo de traccin necesariaAmn = 0.04 *b*d*(Fcd / Fyd)Amn =0.580cm2Area de armadura mnimaA =7.614cm2AREA DE COMPRESIN ADOPTADAN barras = A / Adimetro asumidoDimetroArea (cm2)N barras =9.6410d = 10mm0.79N barras =6.747d = 12mm1.13N barras =3.794d = 16mm2.01N barras =2.422d = 20mm3.14N barras =1.552d = 25mm4.92

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