Vigas - Flexão Simples - Viga Continua 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:

ef6df09966a9db3b62b1794198e9a20a.png

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

bw: 8 in / h: 24 in

TQSMu+ 681,45 kip.in / Mu- 1247,85 kip.inSoftware BMu+ 684,11 kip.in / Mu- 1258,47 kip.inSoftware CMu+ 641,63 kip.in / Mu- 1162 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão+:

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1001dee94929e6a947f315d179e35308.png

6b3ccb2940a4d16b7591605246c51101.png

85c4ba4e9d3fcf2ce082d3fe7f0e1c31.png


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As,min (ACI 318-19 – 9.6.1.2)

0d93d96c999c328114e3f23a92832f3b.png

95d33a2e3316ea729df6a624f14f5730.png


220b65ddd4c7d9692a92d9a3947a1d00.png

TQS = 0,60 in²Software B = 0,64 in²Software C = 0,58 in²

0,60 in2 ≥ 0,60 in2 → OK!

8ae5abde2d1d9fab05df55f3a1667afc.png

øMn (685,20 kip.in) ≥ Mu (681,45 kip.in) → OK!!


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

ecc614e2b6f262e91b10254f0bcc5bbe.png

Linha Neutra: c3bf1cc5034ec46fdfa4689ddb149863.pngc3bf1cc5034ec46fdfa4689ddb149863.png

515ad44fd981ab3a6d907634c6784d4e.png

0,0393 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Flexão-:

58fe690c782b5098992414d921955d8f.png

727532cd4e27006c1a7e9b10e7f901af.png

61c958289ddeeb4bbbc344231923f830.png

6a8c411fecf0ce0ece5026d138bbe5c6.png


a38f18fe88b61dd4c30d33d0916c47d7.png



As,min (ACI 318-19 – 9.6.1.2)

a8f1266b331ccb93635b4582d49cd88d.png

ae1c944b4d97ed99bd650d5cabf78819.png



220b65ddd4c7d9692a92d9a3947a1d00.png

TQS = 1,13 in²Software B = 1,17 in²Software C = 1,05 in²

1,24 in2 ≥ 1,13 in2 → OK!

a4059a3b38d6af298c9022f02699e0e2.png

øMn (1364,63 kip.in) ≥ Mu (1247,85 kip.in) → OK!!


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

5535015d9f0d3a6eed488e48b99bab61.png

Linha Neutra: 45d563da43f5380016cfffe9c6511c2b.png45d563da43f5380016cfffe9c6511c2b.png

5f3248bf02fd33766b14cb63355bdbbb.png

0,02 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!

Cortante:


TQSSoftware BSoftware C
Vu = 19,47 kipsVu,design = 16,87 kipsVu = 19,13 kipsVu,design = 16,98 kipsVu = 19,20 kipsVu,design = 16,54 kips

7bb367397cb7c88332f5a35676605d1d.png 7e17887067fbdbb15dc91c5aabdbc281.png e1712ede43a86f33cdbbc3cf422c1203.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 16,87 ≥ 16,87 → OK!!

    Área de Aço:


    61746682709bf1f5405b4612194f29b2.png

    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    1a5b39d95181673f2a90c0c8c79359af.png1a5b39d95181673f2a90c0c8c79359af.png 0,00037 ≤ 0,0067 → 4ab3c11a642ded3c352fedae41c99a35.png!! 0,0067 in2!!


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    db58605f27fd576a1b05635291f64b6d.png

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


    øVn (38,04 kips) ≥ Vu (16,87 kips)






    Vigas - Flexão Simples - Viga Continua 2
    Vigas - Flexão Simples - Viga Continua 4