Vigas - Flexão Simples 1

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:

e2a3be11345a43b9155ee1ceb83c7787.png

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

bw: 8 in / h: 24 in

Mu:

TQS = 522,15 kip.inSoftware B = 539,91 kip.inSoftware C = 523,98 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

575e6fb5d981340d1c72a4f2bbd80b88.png

1001dee94929e6a947f315d179e35308.png

1ff3331d1a799768aa02941bc7471ea8.png

73bf881e1eba66bac478d1a79a7be437.png


779474b6fff4e01d1c25eaf4457fe71c.png



As,min (ACI 318-19 – 9.6.1.2)

0d93d96c999c328114e3f23a92832f3b.png

95d33a2e3316ea729df6a624f14f5730.png

220b65ddd4c7d9692a92d9a3947a1d00.png

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

0,60 in2 ≥ 0,58 in2 → OK!

8ae5abde2d1d9fab05df55f3a1667afc.png

øMn (685,20 kip.in) ≥ Mu (522,15 kip.in) → OK!!


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

aa33f4ff855bbc3231e317c63b92b3ec.png

Linha Neutra: 4b95c8740c6c1af44f0630de5fc13ae0.png4b95c8740c6c1af44f0630de5fc13ae0.png

8cf1bdf0728eea6f465aed6d7d3a0d4c.png

0,053 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 7,41 kipsVu,design = 6,17 kipsVu = 7,23 kipsVu,design = 6,17 kipsVu = 7,34 kipsVu,design = 6,17 kips

7bb367397cb7c88332f5a35676605d1d.png 0476b35e1f980d784dfc95728b5fd6dd.png 5bc8d4ab473795cce360a16257ee45f6.png

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15c67f3fd6adb6b280dd540e53775ef9.png

77d9895862316372ad510c2e556fe7c4.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 6,17 ≥ 6,17 → OK!!

    Área de Aço:


    a72fe7a4e0b54bbf3471d88cf4e092d6.png



    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    1a5b39d95181673f2a90c0c8c79359af.png1a5b39d95181673f2a90c0c8c79359af.png0,0 ≤ 0,0067 → 4ab3c11a642ded3c352fedae41c99a35.png!!

    0,0067 in2!!

    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    62f941175b37bd71933d41aae0d3b607.png

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


    øVn (23,89 kips) ≥ Vu (6,17 kips)