Vigas - Flexão Simples 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:

e2a3be11345a43b9155ee1ceb83c7787.png

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

bw: 8 in / h: 24 in

Mu:

TQS = 522,15 kip.inSoftware B = 539,91 kip.inSoftware C = 523,98 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

575e6fb5d981340d1c72a4f2bbd80b88.png

1001dee94929e6a947f315d179e35308.png

1ff3331d1a799768aa02941bc7471ea8.png

58c3e4ada6a27f1c67fa184075aedee9.png


fbb203182f89576d50dff128954f1121.png



As,min (ACI 318-19 – 9.6.1.2)

0d93d96c999c328114e3f23a92832f3b.png

95d33a2e3316ea729df6a624f14f5730.png

220b65ddd4c7d9692a92d9a3947a1d00.png

TQS = 0,58 in2Software B = 0,60 in2Software C = 0,60 in2

0,60 in2 ≥ 0,58 in2 → OK!

8ae5abde2d1d9fab05df55f3a1667afc.png

øMn (685,20 kip.in) ≥ Mu (522,15 kip.in) → OK!!


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

aa33f4ff855bbc3231e317c63b92b3ec.png

0b5ca1ca4f83c01825c4d75849f697d1.png

846e2b8d0936d808d584593f792b3841.png

0,053 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 7,41 kipsVu = 7,23 kipsVu = 7,34 kips
Vu,design = 6,17 kips Vu,design = 6,17 kips Vu,design = 6,17 kips

7bb367397cb7c88332f5a35676605d1d.png

0476b35e1f980d784dfc95728b5fd6dd.png

5bc8d4ab473795cce360a16257ee45f6.png

d3384a40bd55225946fbc99206271ac3.png

15c67f3fd6adb6b280dd540e53775ef9.png

77d9895862316372ad510c2e556fe7c4.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 6,17 ≥ 6,17 → OK!!

    Área de Aço:


    96ee8f2a6c2441dc24e67616ead00ef7.png


    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    119e615a7204d6a84e54786c71f276f2.png


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    62f941175b37bd71933d41aae0d3b607.png

    7f36e20ea4f55c3408bee25a219509b7.png


    øVn (23,89 kips) ≥ Vu (6,17 kips)