Vigas - Flexão Simples - Viga Continua 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:

0a0b6f0461a28b0d9da6b1b0aa7d7b92.png

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

bw: 8 in / h: 24 in

TQSMu+ 124 kip.in / Mu- 230,1 kip.inSoftware BMu+ 124 kip.in / Mu- 227,5 kip.inSoftware CMu+ 115,05 kip.in / Mu- 223,91 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão+:

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ee359abdb5c908e4c1f4cbebb3282715.png

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49925caeeb784e3aab71304dd9ef7f25.png


30494b54f10a13a23e3d9b82a858f255.png



As,min (ACI 318-19 – 9.6.1.2)

52b58b520fa78a87559706d78f310fd5.png

23b9f699e06c2187f7bd94b2549b3290.png

f15b3074a08389cf230db7939189eddc.pngf15b3074a08389cf230db7939189eddc.png


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TQS = 0,15 in²Software B = 0,14 in²Software C = 0,60 in²

0,22 in2 ≥ 0,15 in2 → OK!

acc89f5d9bb3d81ccb37296939c3de58.png

øMn (256,96 kip.in) ≥ Mu (124,00 kip.in) → OK!!


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

0d3e6a038d0cc990db80e9d83998e959.png

Linha Neutra: 2fdea6a8ab30b47ab3d007db195a086b.png2fdea6a8ab30b47ab3d007db195a086b.png

94c12138cd448361988458c5fdd0d805.png

0,02 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Flexão-:

0197da0295eb0a6bbc3218c0633867f2.png

ee359abdb5c908e4c1f4cbebb3282715.png

5d4a341a63f0ff70b6eb555fad04158c.png

9f6b75346c96006dc937a7921f7ba150.png


32c7b661014043ea10d268d93a543d73.png



As,min (ACI 318-19 – 9.6.1.2)

52b58b520fa78a87559706d78f310fd5.png

23b9f699e06c2187f7bd94b2549b3290.png

2a7c791fecb06375621602d1858e9a5c.png2a7c791fecb06375621602d1858e9a5c.png


fa30c159e821faf08fb5b7dc88678a50.png

TQS = 0,27 in²Software B = 0,26 in²Software C = 0,60 in²

0,33 in2 ≥ 0,27 in2 → OK!

f75c2b555483acc46d0634069ae51224.png

øMn (383,28 kip.in) ≥ Mu (230,10 kip.in) → OK!!


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

d97c2125fbf2d236cab19f7e531fa07e.png

Linha Neutra: 6a4ae979cb258bbbbe4cfa8de6435442.png6a4ae979cb258bbbbe4cfa8de6435442.png

b7707781c48a4a02c21fdfefc514ce3c.png

0,13 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!

Cortante:


TQSSoftware BSoftware C
Vu = 5,59 kipsVu,design = 4,41 kipsVu = 5,49 kipsVu,design = 3,16 kipsVu = 5,64 kipsVu,design = 4,41 kips

7bb367397cb7c88332f5a35676605d1d.png 1f6d2d4fc34d614cd7461dd2c6356c9b.png 9dcdb46b1ed97d91e02cc26cb45d807d.png

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3621fb40867e496df99479c26f143624.png

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Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 4,41 ≥ 4,41 → OK!!

    Área de Aço:


    583e57aaf35cfb1014ae39989fc2d632.png

    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    1a5b39d95181673f2a90c0c8c79359af.png1a5b39d95181673f2a90c0c8c79359af.png 0,0 ≤ 0,0067 → 4ab3c11a642ded3c352fedae41c99a35.png!! 0,0067 in2!!


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    db58605f27fd576a1b05635291f64b6d.png

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


    øVn (38,14 kips) ≥ Vu (4,41 kips)






    Vigas - Flexão Simples - Balanço 3
    Vigas - Flexão Simples - Viga Continua 2