Angie: If you haven't already done so (and I am getting from your note that your dilemma has some history), you may want to consider what's contained in the publication " C-2011 Standard for Composite Steel Floor Deck-Slabs" (SDI ANSI C 2011), along with the tables in SDI's "Floor Deck Design, 1st edition" publication (the manual).
Beginning on page 13 of SDI ANSI C 2011, there is a discussion and a protocol presented to evaluate concentrated load effects. There is a method of considering an equivalent uniformly distributed load spread over an effective width (be), from a concentrated load. This method is conceived for a load presented on top of the slab, by a plate, with dimensions (b1 and b2), which obviously does not correspond neatly to an anchor from underneath - someone will have to use further judgment to get around that (or decide that he/she can not, I suppose.)
I had occasion about a year ago to slog through the calculations, for an evaluation I was doing, and I created a spreadsheet to keep track of things -- there are moment, direct shear and punching shear checks to be performed, plus deflection. One thing that helped a lot, in addition to the C-2011 standard and the SDI manual, was an example problem found in the Canam deck catalog, on page 33. The example is from a design standpoint, and you are doing evaluations, but it is still the best starting point, along with the publications.
It is a lot of figuring, and if you have many of these loads bunched together, then it may be close to impossible to get comfortable with how to work a solution, but for cases with a more or less isolated single concentrated load, I like that once the equivalent load is determined, it all goes pretty rationally, using more or less standard concrete engineering, and the table data from the manual. The table data from the manual gives the the phi-My, phi-Vn and moment of inertia. If you use the quantities in the tables, you don't have to go back to rock bottom first principles, as presented in the appendices of C-2011. I used tables 3, 4, and 8 from the manual in my calculations. If your slab has no steel mesh, then you will not have much capacity in the direction opposite the ribs, and that will put you at a disadvantage. In my evaluation, the slab I was working with had 6x6 - W2.1X2.1. The C-2011 is a free download, but the Floor Deck Design, 1st edition publication has a cost. Good luck to you on this.
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William Moorhead P.E., S.E., M.ASCE
Alpharetta GA
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