Vigas - Flexão Simples 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:

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

bw: 8 in / h: 24 in

Mu:

TQS = 1124,08 kip.inSoftware B = 1177,18 kip.inSoftware C = 1141,78 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

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46673d8b3d41517945521ddd57aeee37.png

af61b9bcbc938ae391c596b3b6b34a08.png


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As,min (ACI 318-19 – 9.6.1.2)

0d93d96c999c328114e3f23a92832f3b.png

95d33a2e3316ea729df6a624f14f5730.png

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TQS = 1,01 in2Software B = 1,13 in2Software C = 0,99 in2

1,00 in2 ≈ 1,01 in2 → OK!

526c0d62d3acc57f16f6de0f1d78cb8f.png

øMn (1146,94 kip.in) ≥ Mu (1124,08 kip.in) → OK!!


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

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Linha Neutra: e3c07ae800b6f24ea82a06e989d254df.pnge3c07ae800b6f24ea82a06e989d254df.png

16f3fdc9aaf8604bb496bbe04919f73e.png

0,0221 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 16,07 kipsVu,design = 13,40 kipsVu = 15,66 kipsVu,design = 13,36 kipsVu = 15,99 kipsVu,design = 13,45 kips

7bb367397cb7c88332f5a35676605d1d.png bddb8ec92353f2598c4aeb82cf15149a.png 9dd7ead215d81d0ce3346e1f33c38717.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 13,40 ≥ 13,40 → OK!!

    Área de Aço:


    583e57aaf35cfb1014ae39989fc2d632.png

    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

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


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    768ddfd28d50ef4318d2281d5e15552c.png

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


    øVn (23,89 kips) ≥ Vu (13,40 kips)






    Vigas - Flexão Simples 2
    Vigas - Flexão Simples 4