Vigas - Flexão Simples 7

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:

529c8f1a124120f9798a000c8118196b.png

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

bw: 8 in / h: 31,50 in

Mu:

TQS = 846,06 kip.inSoftware B = 838,10 kip.inSoftware C = 858,45 kip.in


25fb89e34086ff9d112742c5d9b3dca8.png

Flexão:

4a5358a76fc69f914d24d13012b9d26f.png

e867e6fb8946ce9950d043acf26764ad.png

386cd825218cd74f3ec835256e76c59f.png

570ce1cc864597ba20739e12df60d7a0.png


3aad63b3129b8c80b3df828d5917fab8.png


As,min (ACI 318-19 – 9.6.1.2)

441e30dcad464b55b4d7ee76e4d417de.png

44a2f848cb0d6f4e698ae549e4691b22.png

9d2e1993cfb4f17e45892a4b7b01daf8.png

4fd222c9e77b7c3371f50515d9fdcfeb.png

TQS = 0,73 in2Software B = 0,74 in2Software C = 0,80 in2

0,80 in2 ≥ 0,73 in2 → OK!

b538e60251404d49da5480958dca9e83.png

øMn (1222,67 kip.in) ≥ Mu (846,06 kip.in) → OK!!


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

1a6e1ac8bcfedea9018e460060e0026c.png

Linha Neutra: 49286f85d57679f03d8f9ea67d658d85.png49286f85d57679f03d8f9ea67d658d85.png

8aab3f9beaf618031689abed7c8627cd.png

0,059 ≥ 0,005 → OK! Tension Controlled! → ø 0,90 OK!


Cortante:


TQSSoftware BSoftware C
Vu = 17,11 kipsVu,design = 13,03 kipsVu = 16,11 kipsVu,design = 12,94 kipsVu = 17,20 kipsVu,design = 13,01 kips

7bb367397cb7c88332f5a35676605d1d.png 7b0a17cecb6058193a6c1bc71cc68ac4.png 09d0107d226121a8673d21b045e9f44e.png

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8a1fe467ba816d0f14b6deb9122ff1da.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 13,03 ≥ 13,03 → OK!!

    Área de Aço:


    64402700855a5538ab08b12ee7114032.png




    ec5e2b756a07c720342b191606d8fa18.png

    3839d14c2d8aa8169cf2d179395ffb2a.png

    1a5b39d95181673f2a90c0c8c79359af.png1a5b39d95181673f2a90c0c8c79359af.png 0,00 ≤ 0,0067 → 4ab3c11a642ded3c352fedae41c99a35.png!! 0,0067 in2!!


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    21cdfa85012cb0939dbe4d296cb89d64.png

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


    øVn (51,26 kips) ≥ Vu (13,03 kips)






    Vigas - Flexão Simples 6
    Vigas - Flexão Simples 8