Vigas - Flexão Simples - Viga Continua 5

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:

ce74e14ff94197538b4b7da5d27c5cb9.png

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

bw: 8 in / h: 31,5 in

TQSMu+ 256,65 kip.in / Mu- 486,75 kip.inSoftware BMu+ 238,95 kip.in / Mu- 485,87 kip.inSoftware CMu+ 269,93 kip.in / Mu- 480,56 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão+:

6649a7801367a491a264f7fe4095bf6b.png

24bd25872365943baa3aeead29cca1e8.png

024302ca894c20403b656625e4092f7b.png

00c6b522a1e90b08d4032c66837ec332.png


98c703b6658142d874b6af5436915aa2.png



As,min (ACI 318-19 – 9.6.1.2)

9a96ae1d21166e8f6bd3f76ecea67eb6.png

129f46042e6d3fb806bd0beb9ea2931a.png

974de8e29301fb85b44f76ebedca26ce.png974de8e29301fb85b44f76ebedca26ce.png 385d4ee3d328571cb1f0a37f2dfdc3a7.png


60c2178a2f9e9f387e6e6e2342eb5ca9.png

TQS = 0,55 in²Software B = 0,20 in²Software C = 0,80 in²

0,55 in2 ≥ 0,55 in2 → OK!

2b17efe7a1560877f4c425823264dc1a.png

øMn (854,35 kip.in) ≥ Mu (256,65 kip.in) → OK!!


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

1b64b5ec8a6d8cdd73e0e9059ba88fb8.png

Linha Neutra: 96953dc96a91e5d49c447d5f6fa138dc.png96953dc96a91e5d49c447d5f6fa138dc.png

a01f86ced4b442d486b1546c6d5364e3.png

0,21 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Flexão-:

75d4b1e5792fd29dbb1a03a9a620b707.png

24bd25872365943baa3aeead29cca1e8.png

da11e1717bf31bd18fa505e4b57fbad4.png

c0ab1eadc73864f2b1141c365820fb20.png


1740b0c297c4905039792d4c818fce99.png



As,min (ACI 318-19 – 9.6.1.2)

9a96ae1d21166e8f6bd3f76ecea67eb6.png

129f46042e6d3fb806bd0beb9ea2931a.png

2c2d3428e5bec8847bdd5fafc6d4b6c7.png2c2d3428e5bec8847bdd5fafc6d4b6c7.png 385d4ee3d328571cb1f0a37f2dfdc3a7.png


60c2178a2f9e9f387e6e6e2342eb5ca9.png

TQS = 0,55 in²Software B = 0,41 in²Software C = 0,80 in²

0,55 in2 ≥ 0,55 in2 → OK!

2b17efe7a1560877f4c425823264dc1a.png

øMn (854,35 kip.in) ≥ Mu (486,75 kip.in) → OK!!


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

1d39fcd880a697beb2499b5b5bab95e1.png

Linha Neutra: 1ea5795a169ae7ddfe0955d4cb527894.png1ea5795a169ae7ddfe0955d4cb527894.png

f75047d2358b5e7182a8b4dae909099c.png

0,11 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!

Cortante:


TQSSoftware BSoftware C
Vu = 12,54 kipsVu,design = 10,25 kipsVu = 11,85 kipsVu,design = 8,68 kipsVu = 12,56 kipsVu,design = 8,38 kips

7bb367397cb7c88332f5a35676605d1d.png 598846c54828fc11a6bd1b31805b4a79.png 45d37270bd3d5948d2e0023b741d3509.png

b8075f05d872de99e9f59e773a4c39a6.png

57ac0bdf00d6e04a50b016fb5607e1e4.png

f4b86e2d3a32ac81a91fdcabdcb1d75a.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 10,25 ≥ 10,25 → 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 (10,25 kips)






    Vigas - Flexão Simples - Viga Continua 4
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