Some good advice... thanks for contributing.
BA, the 24"x24" opening was just an estimate. The allowable opening size is up to me. The penetrations are for a group of 4" diameter electrical conduits. We are leaning toward grouping them and cutting one or two rectangular openings rather than coring a hole for each conduit. There are no drawings for the building. We will field verify the joist size, spacing, span, etc. before proceeding, but we haven't done that yet. If the joist are less than 24" apart, I will adjust the size of the opening.
Ron9867, you mentioned effective flange width of the joist. Are joists usually reliant on a compression flange? I thought that was one of the differentiating features between a joist and a T-beam. JAE also indicated that the original designer may have relied on a T-beam section. Without drawings, determining the design section may be difficult. Any thoughts? Also, is testing to determine the existing concrete compressive strength warranted?
Right now, the plan is to field verify the framing layout and map an entire bay (16.5'x16.5') for rebar locations. I am thinking the rebar locations may yield some insight into the original design intent, particularly if there is any slab rebar parallel to joist webs. I would like to place the opening near the end of the joists for the reasons stated by JAE, but I want to make sure that there isn't any negative moment rebar distributed uniformly within the slab at the girder line supporting the end of the joists. Other than that, I will probably reinforce the edge of the openings with steel angles spanning between joists as suggested by a couple of folks above.