3.4—Modulus of subgrade reaction
3.4.1 Introduction—Design methods listed in
Chapter 2
,
including Westergaard’s (Westergaard 1923, 1926) pioneering
work on rigid pavement analysis, employ the modulus of
subgrade reaction as a single property to represent the
supporting capacity to be used in design. This modulus, also
called the modulus of soil reaction or Winkler foundation, is
a spring constant that assumes a linear response between
load and deformation from the subgrade.
Actually, there is no single k value for a subgrade because
the relationship between load and deformation of a soil is
nonlinear and is not a fundamental soil property. A typical
nonlinear relationship between a normal compressive load
and the resulting deformation for an area is depicted in
Fig. 3.2
.
The type of soil structure, density, moisture content, and
Table 3.1—Unified soil classification system (Winterkorn and Fang 1975)
Field identification procedures
(excluding particles larger than 3 in. [75 mm], and basing fractions on estimated weights)
Group
symbol
Typical names
Coarse-grained soils
(more than half of
material is larger than
No. 200 sieve* [75
μm])
Gravels (more than half
of coarse fraction is
larger than No. 4 sieve
*
[4.75 mm])
Clean gravels (little or
no fines)
Wide range in grain size and
substantial amounts of all intermediate
particle sizes
GW
Well-graded gravel,
gravel-sand mixtures,
little or no fines
Predominantly one size or a range of
sizes with some intermediate sizes
missing
GP
Poorly graded gravels,
gravel-sand mixtures,
little or no fines
Gravel with fines
(appreciable amount of
fines)
Nonplastic fines (for identification
procedures, refer to CL below)
GM
Silty gravels, poorly graded
gravel-sand-silt mixtures
Plastic fines (for identification
procedures, refer to ML below)
GC
Clayey gravels, poorly graded
gravel-sand-clay mixtures
Sands (more than half
of coarse fraction is
smaller than No. 4 sieve
*
[4.75 mm])
Clean sands (little or no
fines)
Wide range in grain sizes and
substantial amounts of all intermediate
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