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Pull-out bearing capacity of a headed stud (ACI-318) 1

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Chaking

Structural
Oct 11, 2018
1
I am now calculating for pull-out bearing capacity of a headed stud.

From ACI-318 code appendix D, it is known that the ultimate bearing capacity = 8*Area of bearing contract*concrete strength

I am wondering how the 8 is coming, if we simply think of the failure mechanism - local crushing of concrete near the head of the stud toward the pull-out direction, isn't the capacity is just equal to area of bearing (Area of head - area of bolt) times the concrete strength? Why will the final result of pull-out bearing capacity become so large?



Thank you.
 
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That's a good question. I suspect it is related to f'c being determined by crushing tall (6"Dx12"H) unconfined cylinders with various possible modes whereas the mechanism for bearing failure under a stud is highly confined, uniform, and basically pure compression.

Edit: Also f'c is specified at 28 days whereas strength for other failure modes may not be required until much later (120 days or more) when the concrete is stronger.
 
I think it's expected that (under the right circumstances) the bearing load will "spread". Similar in concept to the A1/A2 bearing area concept you see in masonry design.
 
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