The gap, no more that 1/4 inch, is between a concrete sidewalk and vertical metal walls surrounding steel metal doors that cover stairs to the basement. The concern is water getting in the gap, then freezing in the cold New Jersey winters, expanding and damaging the concrete.
I couldn't find any caulk in Home Depot that specified both concrete and metal. That may be just because the situation isn't that common, and one of the caulks may very will do the job without having to be replaced every couple of years.
Thanks,
Ray