Vigas - ACI Example - Continous Beam

FLEXÃO SIMPLES

Neste exemplo, será dimensionada a armadura longitudinal e transversal de uma viga submetida a Flexão Simples seguindo modelo do ACI-SP17-14 - Beam Example 1 - Continous Interior Beam:


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Given:

Load

Service additional dead load D = 15 psf

Service live load L = 65 psf


Material properties

fy = 60000 psi

fck = 5000 psi

Ec = 4030000 psi

Es = 29000000 psi

Span length: 36 ft

Beam width: 18 in.

Beam Depth: 30 in

Column dimensions: 24 in. x 24 in

Tributary width: 14 ft

Slab thickness: 7 in.


Self-weight

Beam: wb = 0.56 kip/ft

Slab: ws = 1.1 kip/ft


Shear diagram:


ACI


8c6d9fc977d531e500eb89d7b917b5e4.png



Moment diagram:


ACI

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Required Reinforcement:


1.

e2cd12baee3b0a5ae658f12d0f3c5018.emf

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2.

7b0744ad505e578ae069a3800968c6c9.emf

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3.

0bd5bd25b8aae25ef2b4c017aeaae245.emf

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4.

afd5c50b02514925f87365d88464db2c.emf

ccf7d5e2a94f8879e159626f8efadcb7.png

5.

52713e9e7893402cd563e88b8098cc19.emf

0cbaf76ecd7b795b89a49508d9c195f0.png

Tension Controlled! → ø 0,90 OK!

As,min (ACI 318-19 – 9.6.1.2)

3ed9e9f373b91d1ddfc4304aa6fe769d.png

33b4a91fb03812232cb16e23d5f30d67.png

68a0447134fecbadd153ad29da9f382f.png

Shear:


92ffc83ace2cab2f7ed0ee7038ec51bc.png

802fbe6c34c0b6a9964aa1e93078d72d.png

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aa092ba20fe90ba03b3d4b4d49c21dfb.png

7f2c5af236fe31c06cb1491bac14a9f1.png

Vs ≤ Vs,lim OK!

    Ø0,75 → øVn ≥ Vu → 63,50 ≥ 63,50 → OK!!

    Shear Reinforcement:


    d469bfd6460185519229e2e0df97f6a5.png


    d47084125115500cace1f688ee0eafa8.png

    7db4708d8881091a1f44b2275c418446.png

    5e020c4f114df2644b23c39119ab8042.png


    Espaçamento:

    aaf477c314ee6ffc14dae8b6f50c229d.png

    137f3665b6abc22807d973713b96543f.png

    b792f529102c62326b0b5bc8574e66b4.png


    øVn (75,62 kip) ≥ Vu (63,50 kip)


    Final Design using #7 and #3 stirrups in TQS:

    0db9aa195904499b2980b37ca70615a2.png

    7b18daa28aff9b870a3c882faac0b605.png

    Vigas - Cortante
    Pilar - Flexão Composta Obliqua 1