Vigas - Flexão Simples - Viga Continua 4

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:

35c9caf9e22d7ecca55fc0b582ea4288.png

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

bw: 8 in / h: 31,5 in

TQSMu+ 160,19 kip.in / Mu- 299,13 kip.inSoftware BMu+ 153,99 kip.in / Mu- 312,41 kip.inSoftware CMu+ 172,58 kip.in / Mu- 307,98 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão+:

799f4d08446c9e4ced3b87c6193d6c23.png

24bd25872365943baa3aeead29cca1e8.png

9e28a48884b4f0dc1e6645ea530de8cc.png

be0844156d522b29ed44cc8848aae6f4.png


f47a5ff76d4f5ffdcc3dd867254b0073.png



As,min (ACI 318-19 – 9.6.1.2)

9a96ae1d21166e8f6bd3f76ecea67eb6.png

129f46042e6d3fb806bd0beb9ea2931a.png

9b94e59cf37273e1a4fd07a06cb8843d.png9b94e59cf37273e1a4fd07a06cb8843d.png 385d4ee3d328571cb1f0a37f2dfdc3a7.png


60c2178a2f9e9f387e6e6e2342eb5ca9.png

TQS = 0,55 in²Software B = 0,13 in²Software C = 0,80 in²

0,55 in2 ≥ 0,55 in2 → OK!

2b17efe7a1560877f4c425823264dc1a.png

øMn (854,35 kip.in) ≥ Mu (160,19 kip.in) → OK!!


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

1c9610ca082a93d3e34ab14de2a4b2da.png

Linha Neutra: e04c0bbfc41ab4b93b9ae5baf4015310.pnge04c0bbfc41ab4b93b9ae5baf4015310.png

605d7827d7c2f0f7b5c6323e3e87cdde.png

0,33 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Flexão-:

d35570c9bf7fbd7222a30549437e229b.pngd35570c9bf7fbd7222a30549437e229b.png

24bd25872365943baa3aeead29cca1e8.png

599a405a8936a2a4bdb01c5a9ac86287.png

8e001ed03ed5e3802642efe54f6e911a.png


f3af218a4b239749e514f2af4bf24af0.png



As,min (ACI 318-19 – 9.6.1.2)

9a96ae1d21166e8f6bd3f76ecea67eb6.png

129f46042e6d3fb806bd0beb9ea2931a.png

5187597cbe8e969ee6a8a404a65a9172.png5187597cbe8e969ee6a8a404a65a9172.png 385d4ee3d328571cb1f0a37f2dfdc3a7.png


60c2178a2f9e9f387e6e6e2342eb5ca9.png

TQS = 0,55 in²Software B = 0,26 in²Software C = 0,80 in²

0,55 in2 ≥ 0,55 in2 → OK!

2b17efe7a1560877f4c425823264dc1a.png

øMn (854,35 kip.in) ≥ Mu (299,13 kip.in) → OK!!


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

a42d75225851acd0329b89470e5b0873.png

Linha Neutra: 95a12bcd80a175ebd7ef3669c023b957.png95a12bcd80a175ebd7ef3669c023b957.png

ab908d6ba3015da4e6a6914fa87361ff.png

0,16 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!

Cortante:


TQSSoftware BSoftware C
Vu = 8,02 kipsVu,design = 6,55 kipsVu = 7,61 kipsVu,design = 5,58 kipsVu = 7,81 kipsVu,design = 5,29 kips

7bb367397cb7c88332f5a35676605d1d.png b71c3d4586cbf9302848fed19a335a9a.png b2e0299529d0a92f305555397fe63754.png

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90bb9ac388737cb8be8a99dfcf68921c.png

f4b86e2d3a32ac81a91fdcabdcb1d75a.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 6,55 ≥ 6,55 → 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

    21cdfa85012cb0939dbe4d296cb89d64.png

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


    øVn (51,37 kips) ≥ Vu (6,55 kips)






    Vigas - Flexão Simples - Viga Continua 3
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