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Beams without shear reinforcement

 
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azaman
SEFI Member
SEFI Member


Joined: 12 Aug 2010
Posts: 14

PostPosted: Tue Aug 09, 2022 2:43 pm    Post subject: Beams without shear reinforcement Reply with quote

When we have a Beams without shear reinforcement ,ACI 318-18 says we can use allowable  shear stress from *TABALE 22.5.5.1-C-*

In such case we can notuse the truss model simulation because there is not vertical tensil elements(stirrups).
What is the suitable model for such manner?
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vikram.jeet
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Joined: 26 Jan 2003
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PostPosted: Wed Aug 10, 2022 2:43 am    Post subject: Reply with quote

Footing slab acting as wide beam is also a beam without shear reinf , since section thickness is provided such as to satisfy one way  ( as also two way) shear stress within permitted limit.

Beam  irrespective of  with/without shear reinf  is subject to horizontal and vertical shear stresses .  

Regarding the query,  I think , in case of beam without shear reinf ,the section dimensions are such that  horizontal and vertical shears are duly resisted by concrete without causing Diagonal forces .  Whereas in beams requiring shear reinf , horizontal and vertical shears are resisted upto their permitted limit and balance shears create Diagonal forces requiring shear reinf.

Hope experts on sefi put better explanations , and also  correct my understanding if needed.
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satishkemkar
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PostPosted: Wed Aug 10, 2022 5:40 am    Post subject: Reply with quote

If we are discussing analysis model then Finite element / line element can be used . However for beam even though shear will be resisted by concrete , minimum shear reinforcement is essential as per codal provision,

Thank you,

Satish Kemkar
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azaman
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Joined: 12 Aug 2010
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PostPosted: Wed Aug 10, 2022 6:22 am    Post subject: Beams without shear reinforcement Reply with quote

Beams without shear reinforcement

neglec axial force.



without shear stirrup.jpg
 Description:
no shear reinforcement
but a relatively good acceptable allowable shear stress only due to high percentage main rebar???
which theory can explain it?
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without shear stirrup.jpg


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pvgraju
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PostPosted: Thu Aug 11, 2022 4:09 am    Post subject: Beams without shear reinforcement Reply with quote

Dear Sir,

For beams without shear reinforcement vertical elements in the truss represents shear reinforcement. Truss to be modelled by top chord,bottom chors,diagnol elements.

But for checking shear stress behaviour in such beams refer topic on beams without shear reinforcement in literature.

Regards,

P.V.Gavarraju.
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