Vigas - Flexão Simples - Balanço 1

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:

cb42bcddb1fa10c7c3f3ffc794f498a3.png

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

bw: 8 in / h: 24 in

Mu:

TQS = 1239,14 kN.mSoftware B = 1190,46 kN.mSoftware C = 1230,29 kN.m


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

83a1f0727defd11a25b1f05a12b5e690.png

727532cd4e27006c1a7e9b10e7f901af.png

812dfbb951f2c67e3caea852a7cbe473.png

f1d7d5ab854d5bccde461504983f549c.png


1d942b501a37cd67879e8d46277279a4.png



As,min (ACI 318-19 – 9.6.1.2)

a8f1266b331ccb93635b4582d49cd88d.png

ae1c944b4d97ed99bd650d5cabf78819.png

04227e340e4215424c78b75b9f972aef.png

TQS = 1,12 in2Software B = 1,21 in2Software C = 1,10 in2

1,24 in2 ≥ 1,12 in2 → OK!

a4059a3b38d6af298c9022f02699e0e2.png

øMn (1404,48 kip.in) ≥ Mu (1239,14 kip.in) → OK!!


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

76bc1419b9c6e179ef62f950505b3e1c.png

358a6ae76185ea3865ec50c535f682a0.png

e852bfb079856c24c6cc0d3d6a479672.png

0,0195≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


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

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:


    df6cbf4e8e0027de880427a8fd0ff51a.png


    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    ed95237ef0115995ec7a301fd5af9f74.png


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    0732cd3ee966d911839df452c16e5c56.png

    7f36e20ea4f55c3408bee25a219509b7.png


    øVn (23,89 kips) ≥ Vu (12,35 kips)