Vigas - Flexão Simples 8

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:

2f34a8c6d6a3e8a6279fb2fec97b0bbc.png

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

bw: 8 in / h: 31,50 in

Mu:

TQS = 1407,15 kip.inSoftware B = 1427,51 kip.inSoftware C = 1459,40 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

e4ed0da6405ecbca7e28cbeb4ac78055.png

6a918fa3c582ebe8ba8f785d67df5cf7.png

023f6bb89eb6483cf51aaaa985086542.png

c7692305f538b5a932cc58a5bbbcf8ac.png


101b1c56dd1148cf1b0a51221719d9d4.png


As,min (ACI 318-19 – 9.6.1.2)

acc46a869d7de32a576be0146608358c.png

c081e59afd5d214835de88af307340a5.png

170fb35860d5c127d925a069d4566fd9.png

TQS = 0,93 in2Software B = 0,97 in2Software C = 0,87 in2

1,32 in2 ≥ 0,93 in2 → OK!

6ff8e3df3db73c7c74414de12284d6de.png

øMn (1976,53 kip.in) ≥ Mu (1407,15 kip.in) → OK!!


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

f6d77e8c97472f5fc266865155d8e9a0.png

22a7d94bb68f5ad00f80d25d5b79bbc2.png

c01fb54c71829acefd545a5d4552fc41.png

0,034 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 40,77 kipsVu = 37,61 kipsVu = 41,60 kips
Vu,design = 25,81 kipsVu,design = 25,05 kipsVu,design = 25,58 kips

7bb367397cb7c88332f5a35676605d1d.png

40b06d3248440d26f375efc5b2f1e933.png

3c1f1aca2dd5663f060da7b57f09c537.png

8561f3cff47f9483c9054d1e87c5beb3.png

a910d5436d9d2ec144af260f1fa86ce4.png

e6d8df8b966bf81eb1698ce0811d8121.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 25,81 ≥ 25,81 → OK!!

    Área de Aço:


    4ce9fb81cc41751efb84d9addf75ae0e.png




    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    42c96b0a93ba0ea09d7058cdca2c027d.png


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    7d5e4c331366a14a126c08a3d5a956e7.png

    7f36e20ea4f55c3408bee25a219509b7.png


    øVn (51,04 kips) ≥ Vu (25,81 kips)