Also remember that depending on the thickness of your mat you may transition from a flexurally controlled element to a shear controlled element. There is debate wether very thick matts require shear reinforcement. Some engineers provide straight bars with Lenton Terminators (or SIM), others argue it isn't required.
In general I would also recommend that you consult a geotech to obtain soil springs (and iterate with him) for your analysis. Depending on the modulus you may have additional rotation that you will have to add to your drfit calcs.