support fins 24 extend from a bottom surface of floor grate 16 to provide rigidity for grates 16 and to contact with portions of subfloor 26 support fins 24 while providing rigidity for grates 16 introduces obstacles which the present invention works around in order to provide heat to floor grate 16 subfloor 26 additionally has a floor drain 28 for the removal of water that drains through floor grate 16 ice melting drying system 18 includes plates 30 having slots 32 therein system 18 additionally includes heater conductors 34 tape 36 heated leads 38 an electrical connection 40 conductors 42 a sensor 44 sensor conductors 46 and a controller 48 plates 30 have slots 32 which accommodate support fins 28 of grates 16 slots 32 allow for plate 30 to be seated against a surface of the underneath side of grate 16 to allow the conduction of heat into grates 16 in the example shown in fig3 and 4 two plates 30 each having slots 32 are used to provide heat to one floor grate sector 16 heater conductors 34 are routed upon a surface of plate 30 in a serpentine manner and are covered with heating tape 36 which may be in the form of a metallic adhesive tape that bonds well with plate 30 at an end of the conduction paths of heater conductors 34 heater conductors 34 extend away from plate 30 and be electrically connected at electrical connection 40 the extension of heater conductors 34 is shown and identified as heated leads 38 that extend into drain 28 this advantageously provides heat in drain 28 to prevent the accumulation of ice therein at some point along.