UFC 3-220-01N
15 AUGUST 2005
or
__fo__ = ___1____
(12-6)
w 1 2D2
fn
Figure 12-1 Response Spectra for Vibration Limits
(Courtesy of F. E. Richart, Jr., J. R. Hall, Jr. and R. D. Woods,
Vibrations of Soils and Foundations,
1970. p 316. Reprinted by permission of Prentice-
Hall, Inc., Englewood Cliffs, N. J.)
12-1.3
Foundations on Elastic Soils
12-1.3.1
Foundations on Elastic Half-Space. For very small deformations,
assume soils to be elastic materials with properties as noted in UFC 3-220-09.
Therefore, theories describing the behavior of rigid foundations resting on the surface of
a semi-infinite, homogeneous, isotropic elastic body have been found useful for study of
the response of real footings on soils. The theoretical treatment involves a circular
foundation of radius, ro, on the surface of the ideal half-space. This foundation has six
degrees of freedom: (1-3) translation in the vertical (z) or in either of two horizontal (x
and y) directions; (4) torsional (yawing) rotation about the vertical (z) axis; or (5-6)
12-3
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