Vigas - Flexão com Torção 1

TORÇÃO

Neste exemplo, será dimensionada a armadura longitudinal e transversal de uma viga submetida a Flexão Simples combinada com torção utilizando como base a Norma ACI 318-19, conforme dados abaixo:

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

bw: 15,75 in / h: 23,62 in

Mu:

TQS = 1654,95 kip.inSoftware B = 1820,45 kip.inSoftware C = 1716,90 kip.in


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Flexão:

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As,min (ACI 318-19 – 9.6.1.2)

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TQS = 1,50 in²Software B = 1,42 in²Software C = 1,47 in²

1,50 in2 ≥ 1,50 in2 → OK!
øMn (1654,95 kip.in) ≥ Mu (1654,95 kip.in) → OK!!


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

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0,0292 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 28,84 kipsVu = 28,31 kipsVu = 29,37 kips
Vu,design = 28,84 kips Vu,design = 23,75 kips Vu,design = 23,59 kips

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    Ø0,75 → øVn ≥ Vu → 28,84 ≥ 28,84 → OK!!

    Torção:

    Tu:

    TQS = 240,72 kip.inSoftware B = 239,84kip.inSoftware C = 238,07 kip.in

    68e19f71f2d631123e8c7c9faedeb886.png

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    3978d73c516ee9ebf7be2024d2f36330.png

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    de56f140c13e72b8dff2cbe5adb3c394.png

    914520d8dd9ac6fd963b62b82010a71b.png

    Fissuração:

    3c743327b41dddbb27bae6d90231eb80.png

    462cceec261318901c724790e807dce1.png

    aaf456a660996da50651a34d1fa2f255.png


    Armaduras Transversal:

    7ee4003e7ecd713a642cdfa25a80c565.png

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    2dfc47ba70792cef64b2636df4d7a847.png

    5469b27797bd5235c443b3800d9a5896.png

    Considerando 2 ramos:

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    1498b28e62b5a7fb00cd36552b55274c.png

    87ddeb42f6787e2a6e5062af02909dc0.png




    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    0a3e75872f87c4980b122644f36de95d.png

    4caa2560ed9788f0648f03456689b84b.png

    022f0cb93eab2d27fb9bba35f7d58e7e.png

    Øt = #3 → Av = 0,028 in²/in → #3 @ 8 in


    øVn (58,84 t) ≥ Vu (28,84 t) → OK!!


    Armadura Longitudinal:

    c502f15d90a349b1f21e10f18b62ae69.png

    146c5d5a97f3b78f90393d33ebd20ca4.png

    135d546deda04ccf9ebe6b2cd9fd1076.png

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    Vigas - Torção
    Vigas - Flexão com Torção 2