Very nice set of calculations, but you missed one issue.  You only 
accounted for heating the top 1.5 inches of concrete to 32F.  It won't 
work that way.  If the surface of the concrete is 0F, and the ground is 
0F, when the heating elements kick on, they will dump just as much heat 
into the top 1.5 inches of concrete as they will into the 1.5 inches 
below the elements.  Not completely true because the upper half is exposed 
to the air, and the lower half is attached to a very very large heat sink.

So, double the watts needed to heat the 1.5 inches of concrete and you are 
getting closer.

-- 
Blue skies.
Dan Rossi
Carnegie Mellon University.
E-Mail: d...@andrew.cmu.edu
Tel:    (412) 268-9081

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