Vigas - Flexão Simples - Viga Continua 2

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:

28c758ad4208f5aa99b8b87361a8a3f0.png

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

bw: 8 in / h: 24 in

TQSMu+ 274,35 kip.in / Mu- 495,60 kip.inSoftware BMu+ 268,16 kip.in / Mu- 492,06 kip.inSoftware CMu+ 250,46 kip.in / Mu- 487,64 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão+:

d1a318f52d0158e97ea2d3eb0f7b01e3.png

2fce249c147531d83891175b37db4929.png

dc8cd2eb27267f0b5a78e97903aee55f.png

b6de8fb0686bfc30113c4493753f5aeb.png


73446ba6693b3a89da2c2bdfb28d98ab.png



As,min (ACI 318-19 – 9.6.1.2)

52b58b520fa78a87559706d78f310fd5.png

23b9f699e06c2187f7bd94b2549b3290.png

cfae15bb02fe6dd6ed8493f357c20055.pngcfae15bb02fe6dd6ed8493f357c20055.png


c31ea4a56f4e41e1d95138bade150e91.png

TQS = 0,32 in²Software B = 0,31 in²Software C = 0,60 in²

0,33 in2 ≥ 0,32 in2 → OK!

f75c2b555483acc46d0634069ae51224.png

øMn (383,28 kip.in) ≥ Mu (274,35 kip.in) → OK!!


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

649d7cad7e2c9d1dc13117098bebd6d2.png

Linha Neutra: d8f4e566cbfed6d080b2954a8dc7e102.pngd8f4e566cbfed6d080b2954a8dc7e102.png

091e4f68a5ab40ad324ff3b1875432c6.png

0,10 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Flexão-:

121b47e928964d8059cb976d9082efc6.png

1001dee94929e6a947f315d179e35308.png

20630485054ecc5738978cacecf1af29.png

29192bbc24e186e11f9bc2a9b200237a.png


2c7eb29fd42434fcf105949fbd69f6b3.png



As,min (ACI 318-19 – 9.6.1.2)

0d93d96c999c328114e3f23a92832f3b.png

95d33a2e3316ea729df6a624f14f5730.png

24644a12bec5677e7e8c07398fd39769.png24644a12bec5677e7e8c07398fd39769.png


220b65ddd4c7d9692a92d9a3947a1d00.png

TQS = 0,58 in²Software B = 0,57 in²Software C = 0,60 in²

0,60 in2 ≥ 0,58 in2 → OK!

8ae5abde2d1d9fab05df55f3a1667afc.png

øMn (685,20 kip.in) ≥ Mu (495,60 kip.in) → OK!!


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

b67845aec8661897789f25df6d08664c.png

Linha Neutra: aa0b5d70f6d0995a105dc971e0a3bba7.pngaa0b5d70f6d0995a105dc971e0a3bba7.png

9c6175856b9046466f2afd57fa3381db.png

0,056 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!

Cortante:


TQSSoftware BSoftware C
Vu = 12,26 kipsVu,design = 9,68 kipsVu = 11,90 kipsVu,design = 9,74 kipsVu = 12,30 kipsVu,design = 9,70 kips

7bb367397cb7c88332f5a35676605d1d.png aacb0caab0c54837f274ca08349fc37f.png db2b28bcd97a052d40be66161a3443ac.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 9,68 ≥ 9,68 → 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

    db58605f27fd576a1b05635291f64b6d.png

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


    øVn (38,14 kips) ≥ Vu (9,68 kips)






    Vigas - Flexão Simples - Viga Continua 1
    Vigas - Flexão Simples - Viga Continua 3