Looking at the commentary for this section (the pages with gray trim), equation I6-6 seems to show the equation for circular area by coincidence.
The engaged perimeter is assumed to be one-quarter of the circumference (0.25 pi D) assuming the member giving load to the filled steel member frames in from only one side. The engaged transfer length of load is assumed to be twice the diameter in each direction (above and/or below) (Cin D)
Therefore the surface area engaged in load transfer is shown as (0.25 pi D)(Cin D) = 0.25 pi D^2 Cin.
The commentary states that you are allowed to increase the amount of the circumference engaged in load transfer when the applied load comes in from multiple sides or some configuration other than the basic assumed one.
For a micropile, I believe you could use the full circumference, and a value of 2 for Cin (the pile is only below the point of load application, not above).
Hope this helps! It's always good to visualize the load path for your structure.
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Walter Kaniecki A.M.ASCE
Transportation Engineer
Penfield NY
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Original Message:
Sent: 05-03-2017 17:02
From: Fernando Martinez
Subject: Project with Micro Piles
Hello,
I have a project with micro piles (i.e. 7.5" diameter hollow steel tube filled with concrete and with one reinforcing bar in the middle). I want to calculate how long the steel tube needs to be so that it can transfer the entire compressive load applied on top of the steel tube to the concrete which continues below the steel tube. AISC Manual Eq. 16 I6-6 (Rn=0.25*π*D^2*Cin^2Fin^2) for the available bond strength between the steel and the concrete uses the cross sectional area of the entire micro pile section for the calculation since D= outside diameter of round HSS, in. (page 16.1-96 of Manual). This, however, does not take into account the actual surface area in contact between the concrete and the steel. Is there a mistake in this equation?
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Fernando Martinez EI, A.M.ASCE
Douglas Wood Associates
Coral Gables FL
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