Vigas - Flexão Simples - Viga Continua 6

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:

0c8520b6fbc3ee8796d8ef6f9d166cde.png

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

bw: 8 in / h: 31,5 in

TQSMu+ 619,50 kip.in / Mu- 1185,90 kip.inSoftware BMu+ 597,38 kip.in / Mu- 1202,72 kip.inSoftware CMu+ 690,30 kip.in / Mu- 1197,41 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão+:

1c10481f59cf69755cd96ba089cd6d28.png

24bd25872365943baa3aeead29cca1e8.png

8821a4da5e8322fc6e71262ff071946f.png

3506ba2c7f99849cdd931d84eb5af015.png


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As,min (ACI 318-19 – 9.6.1.2)

9a96ae1d21166e8f6bd3f76ecea67eb6.png

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60c2178a2f9e9f387e6e6e2342eb5ca9.png

TQS = 0,55 in²Software B = 0,52 in²Software C = 0,80 in²

0,55 in2 ≥ 0,55 in2 → OK!

2b17efe7a1560877f4c425823264dc1a.png

øMn (854,35 kip.in) ≥ Mu (619,50 kip.in) → OK!!


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

a1310855a4a60512568b3e595eeae0a0.png

Linha Neutra: 6ac3be8cfacfa15522409e46e7271906.png6ac3be8cfacfa15522409e46e7271906.png

8b4577c07a204f044e020c688d27092f.png

0,083 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Flexão-:

6a0b767240151b672008b3a19b89b9e9.png

ccd064d31e899abfac81e7dceff0904b.png

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4d4440921dc8fecb901e656b7836371b.png


a63367dd4d80775a926154f3671c3d25.png



As,min (ACI 318-19 – 9.6.1.2)

441e30dcad464b55b4d7ee76e4d417de.png

44a2f848cb0d6f4e698ae549e4691b22.png


170fb35860d5c127d925a069d4566fd9.png

TQS = 0,78 in²Software B = 0,79 in²Software C = 0,80 in²

0,80 in2 ≥ 0,78 in2 → OK!

b538e60251404d49da5480958dca9e83.png

øMn (1228,07 kip.in) ≥ Mu (1185,90 kip.in) → OK!!


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

c4f972f1347f9df2b2840fb3e3079f5c.png

Linha Neutra: 3c0b21303e204f6a1c11c52c301b2004.png3c0b21303e204f6a1c11c52c301b2004.png

a619ddab57a6d5b6986601ad40ec9662.png

0,041 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!

Cortante:


TQSSoftware BSoftware C
Vu = 19,65 kipsVu,design = 15,59 kipsVu = 18,89 kipsVu,design = 15,72 kipsVu = 19,80 kipsVu,design = 15,66 kips

7bb367397cb7c88332f5a35676605d1d.png 1d2b1a7db7807cecdab3a4e7e9552df3.png f87fa35d0ec87361c672900bc0abb282.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 15,59 ≥ 15,59 → OK!!

    Área de Aço:


    583e57aaf35cfb1014ae39989fc2d632.png0,0067 in2!!

    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 (15,59 kips)






    Vigas - Flexão Simples - Viga Continua 5
    Vigas - ACI Example - Continous Beam