Vigas - Flexão Simples 4

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:

7a3e238503e4962bd969eb3d18626184.png

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

bw: 8 in / h: 24 in

Mu:

TQS = 1168,20 kip.inSoftware B = 1204,49 kip.inSoftware C = 1172,63 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

33f2c49df5ca2d9193fb31c6b34caed0.png

727532cd4e27006c1a7e9b10e7f901af.png

441a614d35891bf8d74285c9acb4dd21.png

74fc24b294c5b2493d62b065a79fe4b9.png


bc20b94089b7a6ad89b5ef91fd3e9042.png


As,min (ACI 318-19 – 9.6.1.2)

a8f1266b331ccb93635b4582d49cd88d.png

ae1c944b4d97ed99bd650d5cabf78819.png

220b65ddd4c7d9692a92d9a3947a1d00.png

TQS = 1,05 in2Software B = 1,15 in2Software C = 1,03 in2

1,24 in2 ≥ 1,05 in2 → OK!

a4059a3b38d6af298c9022f02699e0e2.png

øMn (1404,48 kip.in) ≥ Mu (1168,20 kip.in) → OK!!


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

40f1a12e4a5420a0f2054660fb7d3de6.png

44d38313279d51531fdb55cdd65e9422.png

7f7946caff38d50403c620003ce377f6.png

0,0209 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 25,51 kipsVu = 24,45 kipsVu = 25,42 kips
Vu,design = 18,70 kipsVu,design = 18,65 kipsVu,design = 18,52 kips

7bb367397cb7c88332f5a35676605d1d.png

ad518739ffa52ebfbd091db16d47aac7.png

28a6b7746c8855be22bbfe0a1d02774b.png

a14542b25f3160698beb322f9424c3ef.png

fb10e5205d93c0591197b443435c191b.png

f1fddf3197a059eed33052015e84df19.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 18,70 ≥ 18,70 → OK!!

    Área de Aço:


    f0958b262e6b0a73455e2dec2a63381f.png


    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    7afbf7eaba13f055272a7af36617b79a.png


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    0732cd3ee966d911839df452c16e5c56.png

    7f36e20ea4f55c3408bee25a219509b7.png


    øVn (23,89 kips) ≥ Vu (18,70 kips)