Purpose of Footings:
If a man stands on soft mud, marshy ground, or quicksand, he sinks
into a greater or less depth, proportional to his weight. If,
however, he stands on a plank or a wooden platform, or on a post
or posts driven through the mud or marsh to firmer ground, his
weight is distributed over a larger area in the first case and
carried down to a better foundation in the second.
The same thing is true of the footings of buildings. By spreading
the load, or weight of the structure, over a larger area or bearing
surface, the weight of the building is more evenly distributed,
and the likelihood of a settlement, due to compression of the
ground, is greatly diminished. For this reason, the higher and
heavier the building is to be, the wider and deeper the supports
of footings for the foundation must be and if extremely soft or
yielding ground is encountered, piling should be resorted to in
order to carry the weight of the building to a more solid base.
Footings may be of iron, timber or large, flat building stones
laid directly on the ground or on a bed of concrete, or they may
be concrete alone or with reinforcement, or of concrete and stepped-up
brickwork. Where piling is used, heavy capping timbers are often
placed on the heads of the piles, with either stone or concrete
footings resting on them; or large footing stones may be laid
directly on the piles
Special Footings:
Footings on Rock and Gravel. In placing foundation footings on
a rock, it is sometimes found that some portions of the footings
will rest on the rock, and others, owing to the diversified character
of the surface, will rest on clay, sand, or gravel. The settlement
of the foundation walls - and as a necessary consequence, that
of the whole building - will then be uneven, as the walls resting
on the rock will not settle, while those resting on the sand,
gravel, or clay, by compressing the material on which they are
carried will settle.

Fig. 58 illustrates the method employed to obtain equal settlement.
In a are shown the rock and gravel before leveling or excavating,
the clay or sand being shown at a and the rock at b. It is customary
to remove the rock to a certain level, as shown in b b. The softer
solid a is the removed and leveled off, as at c c, and a bed of
concrete about 3 feet thick, as shown at d, is then put down.
This concrete is brought to the level of the rock, as at b b,
and on this base, the brick or stone foundation wall e is built.
In erecting footings on solid rock, it is not considered necessary
to cut the footing bed level over the entire surface of the rock,
nor even to cut a series of horizontal surfaces resembling steps,
as is frequently done in softer soils, but it is necessary to
roughen the surface of the rock so as to prevent the footing from
the slipping on its foundation. After this is done, concrete may
be put in to bring the foundation to its proper level. If the
structure is to be only three of four stories in height, stone
or brick may be used instead of concrete, but a concrete base
is usually preferable.
Footing on Sloping Ground:

Footing courses built on slopes - especially of
clay - are always liable to slide. This tendency to slide, however,
may be overcome by cutting horizontal steps in the slope, as shown
in Fig 59, where the slope e f is stepped off, as shown at a,
in order that the footings b may have a horizontal bearing. These
footings may be either of stone or of concrete, but if the former
material is used, great care must be exercised to secure a perfect
bond at the stepping places, and the foundations should be laid
in as long sections as possible.