Vigas - Flexão com Torção 2

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 = 2849,70 kip.inSoftware B = 3127,06 kip.inSoftware C = 2910,77 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 = 2,68 in²Software B = 1,42 in²Software C = 1,47 in²

2,68 in² ≥ 2,68 in² → OK!
øMn (2849,70 kip.in) ≥ Mu (2849,70 kip.in) → OK!!


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

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0,015 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 49,37 kipsVu = 49,17 kipsVu = 49,33 kips
Vu,design = 49,37 kipsVu,design = 41,12 kipsVu,design = 41,26 kips

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    Ø0,75 → øVn ≥ Vu → 49,37 ≥ 49,37 → OK!!

    Torção:

    Tu:

    TQS = 389,40 kip.inSoftware B = 384,09 kip.inSoftware C = 387,63 kip.in

    75384bb676cde6418771aa1b3d342fd3.png

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    de56f140c13e72b8dff2cbe5adb3c394.png

    4902a12aae9939646762677588e27985.png

    Fissuração:

    3c743327b41dddbb27bae6d90231eb80.png

    b740ed6c3716e4aaa95ec247b2dedfab.png

    3020c4fd4f0e60db87e3a68992c0f485.png


    Armaduras Transversal:

    c9c41ef71d46ce45390a4b5764e9f193.png

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    8d4ac31945ce32aefcd7faebe8ebba71.png

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    Considerando 2 ramos:

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    1498b28e62b5a7fb00cd36552b55274c.png

    a54d1bfefc605ae17912c8ae45397317.png


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    0a3e75872f87c4980b122644f36de95d.png

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    7fbc548d97cd344d28adf1aefd09d5c2.png

    Øt = #4 → Av = 0,067 in²/in → #4 @ 6 in


    øVn (95,20 t) ≥ Vu (49,37 t) → OK!!


    Armadura Longitudinal:

    c502f15d90a349b1f21e10f18b62ae69.png

    ab21f8eab289b0347b33b131f79a6b14.png

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    Vigas - Flexão com Torção 1
    Vigas - Flexão com Torção 3