Vigas - Flexão Simples - Balanço 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:

79e3dc67b260bd4693b49f1628b0c21d.png

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

bw: 8 in / h: 24 in

Mu:

TQS = 1177,18 kip.inSoftware B = 1201,97 kip.inSoftware C = 1230,29 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

e423b756d4d0851681f0c5511c554430.png

727532cd4e27006c1a7e9b10e7f901af.png

f559fde9c64fb08f4ad61eff2d727a3c.png

b8a3a7ac9b897b66f99673309b19ba80.png


9832cba975ae5b8cab98d8afd64f73b5.png



As,min (ACI 318-19 – 9.6.1.2)

a8f1266b331ccb93635b4582d49cd88d.png

ae1c944b4d97ed99bd650d5cabf78819.png

04227e340e4215424c78b75b9f972aef.png

TQS = 1,06 in2Software B = 1,15 in2Software C = 1,09 in2

1,24 in2 ≥ 0,60 in2 → OK!

a4059a3b38d6af298c9022f02699e0e2.png

øMn (1404,48 kip.in) ≥ Mu (1177,18 kip.in) → OK!!


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

6536abb85aa08499ece17c28cc2d3c06.png

Linha Neutra: ee61e32256c602bd30c9d5aba4e43f2f.pngee61e32256c602bd30c9d5aba4e43f2f.png

037d7caf8d2be0047dbc4c39518dc684.png

0,0207 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 12,35 kipsVu,design = 12,35 kipsVu = 12,10 kipsVu,design = 10,69 kipsVu = 12,26 kipsVu,design = 10,58 kips

7bb367397cb7c88332f5a35676605d1d.png 9cc7395c5647f62665f8830bce53d293.png 5334035f3f246af3b650b3af267df038.png

a14542b25f3160698beb322f9424c3ef.png

3d64d9e61eea097db330df88573a675b.png

f1fddf3197a059eed33052015e84df19.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 12,35 ≥ 12,35 → OK!!


    Área de Aço:


    2504f88541de4fdb4da3b6e1e7e0179f.png

    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

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


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    0732cd3ee966d911839df452c16e5c56.png

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


    øVn (38,14 kips) ≥ Vu (12,35 kips)