Vigas - Flexão Simples 2

FLEXÃO SIMPLES

Neste exemplo, será dimensionada a armadura longitudinal e transversal de uma viga submetida a Flexão Simples utilizando como base a Norma ACI318-19, conforme dados abaixo:

68fd0c903dd7c4905a09390fa5f8fb9b.png

Concreto - C25 (4000 psi) / Aço – ADN420 (60 ksi)

bw: 8 in / h: 24 in

Mu:

TQS = 460,25 kip.inSoftware B = 474,41 kip.inSoftware C = 460,25 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

26bdcc5213783a7181c49de45a64c1ad.png

727532cd4e27006c1a7e9b10e7f901af.png

6c030f26401f55177e4dba1afb1f8bba.png

8eb53cf8f507a25f9d8f436c53e7a3b8.png


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As,min (ACI 318-19 – 9.6.1.2)

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ae1c944b4d97ed99bd650d5cabf78819.png

220b65ddd4c7d9692a92d9a3947a1d00.png

TQS = 0,58 in2Software B = 0,52 in2Software C = 0,60 in2

0,60 in2 ≥ 0,58 in2 → OK!

8ae5abde2d1d9fab05df55f3a1667afc.png

øMn (702,46 kip.in) ≥ Mu (460,25 kip.in) → OK!!


Verificação do fator de redução (ACI318-19 – 21.2.2)

365d9160c1057d6845e4763a54f1cb30.png

Linha Neutra: a3b2c6407399b3acd390b45f952a6035.pnga3b2c6407399b3acd390b45f952a6035.png

9e60077d9de4f08a4ac4705a88682d4f.png

0,06 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 10,05 kipsVu,design = 7,41 kipsVu = 9,64 kipsVu,design = 7,34 kipsVu = 9,99 kipsVu,design = 7,28 kips

7bb367397cb7c88332f5a35676605d1d.png 9a439c57b52998bd1b31a69f11c8c8b2.png 8eb5a7e55d9003601bc0e19faa0bda03.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 7,41 ≥ 7,41 → OK!!

    Área de Aço:


    583e57aaf35cfb1014ae39989fc2d632.png

    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    1a5b39d95181673f2a90c0c8c79359af.png1a5b39d95181673f2a90c0c8c79359af.png 0,0 ≤ 0,0067 → 4ab3c11a642ded3c352fedae41c99a35.png!! 0,0067 in2!!


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    0732cd3ee966d911839df452c16e5c56.png

    8b4c578af9c587a34a740e9beac68d2c.png8b4c578af9c587a34a740e9beac68d2c.png→ #3 c/ 10 in


    øVn (23,89 kips) ≥ Vu (7,41 kips)