Qshake is on to something.
The foundation design that accounts for the horizontal shear can be handled in a number of ways:
1. No hairpins - the horizontal shear is a lateral force at the top of the pedestal, some distance x from the bottom of the footing. Thus, the footing experiences a moment where the stress on one side of the footing is higher than the other. This is the vertical effect. There is a lateral effect as well, where the sliding resistance must come from passive resistance of soil on the side of the footing and gradewalls.
2. With hairpins, a calculated amount of reinforcing is extended around the anchor bolts at the slab level. This effectively takes out any lateral force applied to the footing so there is not vertical, or horizontal effect on the footing itself. The hairpin must be sized to resist the lateral force, and extend into a slab far enough to be developed. Also, it must extend far enough into the slab whereby the slab will not fail in shear (imagine a section of slab adjacent to the column breaking free and sliding with the column base outward). Usually, we provide reinforcing in the slab to extend the tension to the other side.
3. Similar to 2 above, you can create an under-slab tie beam that extends all the way across the building, directly below the floor slab. This is usually a concrete trenched-type footing with reinforcing in it that is also wrapped around the anchor bolts similar to the hairpins. This is a good detail for smaller buildings and for buildings where future or planned trench drains, etc. are not anticipated across the tie. The tie can be placed a bit below the floor slab as long as you design the concrete pedestal under the column for the slight amount of bending.