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Three Types of Foundations
All information about footings is from Sunset Books
"Sheds and Garages".
T-Shaped

A traditional foundation method to support a structure
in an area where the ground freezes. A footing is placed
below the frost line and then the walls are added on
top. The footing is wider than the wall, providing extra
support at the base of the foundation. A T-shaped
foundation is placed and allowed to cure; second, the
walls are constructed; and finally, the slab is poured
between the walls.
In summary:
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T-shaped foundations are used in areas where the
ground freezes.
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First, the footing is placed.
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Second, the walls are constructed and poured.
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Lastly, the slab is placed.
Slab-on-grade foundation

As the name suggests, a slab is a single layer of
concrete, several inches thick. The slab is poured
thicker at the edges, to form an integral footing;
reinforcing rods strengthen the thickened edge. The slab
normally rests on a bed of crushed gravel to improve
drainage. Casting a wire mesh in the concrete reduces
the chance of cracking. A slab on grade is suitable in
areas where the ground doesn't freeze, but it can also
be adapted with insulation to prevent it from being
affected by the frost heaves. (see below)
In summary:
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Slab on grade used in areas where ground does not
freeze.
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The edges of the slab-on-grade are thicker than the
interior of the slab.
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The slab-on-grade is monolithic (poured all at one
time).
Frost Protected

This method only works with a heated structure. It
relies on the use of two sheets of rigid, polystyrene
insulation—one on the outside of the foundation wall and
the other laid flat on a bed of gravel at the base of
the wall—to prevent freezing, which is a problem with
slab-on grade foundations in areas with frost. The
insulation holds heat from the structure in the ground
under the footings and prevents heat loss from the edge
of the slab. This heat keeps the ground temperature
around the footings above freezing.
In summary:
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Only works with a heated structure.
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Has the benefits of a the slab-on-grade method
(concrete poured monolithically) in areas subject to
frost.
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Concrete is poured in one operation, versus 3 pours
required for T-shaped foundations.
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