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:


eb929f81daf40cefcbf335bf7db4af71.png



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

da9b15ecfaf00fce3d271b91ce581ef6.png


Required Reinforcement:


1.

e2cd12baee3b0a5ae658f12d0f3c5018.emf

b023249920cb5edd6a542939476718f9.png

2.

7b0744ad505e578ae069a3800968c6c9.emf

7b236bbace74ec0e3bfaedde05793913.png



3.

0bd5bd25b8aae25ef2b4c017aeaae245.emf

aeff2491dde7538cb2eef16770cf9c3f.png

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)

0c3fc54881e4f08f25d84555ef6a929e.png

33b4a91fb03812232cb16e23d5f30d67.png

68a0447134fecbadd153ad29da9f382f.png

Shear:


7bb367397cb7c88332f5a35676605d1d.png

8f7f445e0ea052aaa7c2dce63eb7896c.png

b5814122497bdf8d134ad80174465a80.png

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aa092ba20fe90ba03b3d4b4d49c21dfb.png

4f04751db19bc5a1e3a27180433cca8d.png

Vs ≤ Vs,lim OK!

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

    Shear Reinforcement:


    d469bfd6460185519229e2e0df97f6a5.png


    d47084125115500cace1f688ee0eafa8.png

    7db4708d8881091a1f44b2275c418446.png7db4708d8881091a1f44b2275c418446.png

    5e020c4f114df2644b23c39119ab8042.png


    Espaçamento:

    06d1e07ea784adbc04a385a9e9430ab3.png

    137f3665b6abc22807d973713b96543f.png

    b792f529102c62326b0b5bc8574e66b4.png


    øVn (75,62 kip) ≥ Vu (63,50 kip)



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


    8737482300f7180f23d8b2a99deb3860.png


    60c1db4cf64df1e1fbb56287b7cb0feb.png



    Vigas - Flexão Simples - Viga Continua 6
    Pilar - Flexão Composta Obliqua 1