Vigas - Flexão Simples - Balanço 3

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:

33a92b79bdad577b697ed4ef7b1f69df.png

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

bw: 8 in / h: 24 in

Mu:

TQS = 146,06 kip.inSoftware B = 128,68 kip.inSoftware C = 146,20 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

0e7e9bdbcda26193eb0a7b64ed56de51.png

ee3f5cc85b372ba73ca0046f87a6fab2.png

fdaf2cf1521591a905a6d805fe25811b.png

821b003e094c70e94e703576a15693af.png


db5ed5d6f4af10127f89d6f7a69c5482.png



As,min (ACI 318-19 – 9.6.1.2)

52b58b520fa78a87559706d78f310fd5.png

23b9f699e06c2187f7bd94b2549b3290.png

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TQS = 0,18 in²Software B = 0,16 in²Software C = 0,57 in²

0,22 in2 ≥ 0,18 in2 → OK!

acc89f5d9bb3d81ccb37296939c3de58.png

øMn (256,896 kip.in) ≥ Mu (146,06 kip.in) → OK!!


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

7dcfbbedda048f9486a27c902dc71982.png

Linha Neutra: 49c09f307cac7c249ab25a118478d6e4.png49c09f307cac7c249ab25a118478d6e4.png

7e268438b8b4469436d0410d49efdbb7.png

0,20 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 2,89 kipsVu,design = 2,89 kipsVu = 2,86 kipsVu,design = 2,37 kipsVu = 3,00 kipsVu,design = 2,43 kips

7bb367397cb7c88332f5a35676605d1d.png 025742b037d0d9b4a8244203e3df9286.png 08849a32b8c7bf911ce7788d964432fa.png

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44c23b8dfd13dd1041acefc31e879de0.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 2,89 ≥ 2,89 → OK!!

    Área de Aço:


    2504f88541de4fdb4da3b6e1e7e0179f.png


    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

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


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    cb57c43a3ae6ba828ce6f12006606b33.png

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


    øVn (38,04 kips) ≥ Vu (2,89 kips)