Vigas - Flexão Simples 6

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:

03aeafafc5ddf4cbc17910a6c7e29a53.png

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

bw: 8 in / h: 31,50 in

Mu:

TQS = 362,85 kip.inSoftware B = 369,93 kip.inSoftware C = 364,62 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

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08d3eb68a6ceef0519d44ba8c55ce5cf.png

0dfc3f8a1c1e8cf0cd2618e063cb26e5.png

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As,min (ACI 318-19 – 9.6.1.2)

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TQS = 0,55 in2Software B = 0,32 in2Software C = 0,80 in2

0,55 in2 ≥ 0,31 in2 → OK!

2b17efe7a1560877f4c425823264dc1a.png

øMn (848,78 kip.in) ≥ Mu (362,85 kip.in) → OK!!


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

7d2f915c77e115e30edd8c5bb5f2c490.png

Linha Neutra: 82b3cc53c0ae92cff7124550638e7d0d.png82b3cc53c0ae92cff7124550638e7d0d.png

b8178ff4ed9c384f9bc50ba5b74f6f21.png

0,14 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 10,48 kipsVu,design = 6,63 kipsVu = 9,75 kipsVu,design = 6,58 kipsVu = 10,74 kipsVu,design = 6,61 kips

7bb367397cb7c88332f5a35676605d1d.png 030c7508d57b574eaa95088ef7d12979.png 08ac3a002141547d1574426df8449d47.png

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7e44fd609d880433d1f5b2bcba1fd9f2.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 6,63 ≥ 6,63 → OK!!

    Área de Aço:


    64402700855a5538ab08b12ee7114032.png




    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    1a5b39d95181673f2a90c0c8c79359af.png1a5b39d95181673f2a90c0c8c79359af.png 0,00 ≤ 0,0067 → 4ab3c11a642ded3c352fedae41c99a35.png!! 0,0067 in2!!


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    21cdfa85012cb0939dbe4d296cb89d64.png

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


    øVn (51,37 kips) ≥ Vu (6,63 kips)