Liquid limit is defined as “ the moisture content at which soil changes
from liquid state to plastic state”
Or
According to Casagrande Liquid Limit Test it is also defined as “ the
moisture content at which two sides of a groove come close together for a
distance of 12.7 mm under the impact of 25 number of blows”
Or
According to fall cone test method Liquid Limit is also defined as
“the moisture content at which the cone( fall cone test) penetrates with in
the soil for 1 cm when falls freely for 5 seconds.
The water content at which the soil begins to crumble when rolled into
threads of specified size. The Plastic Limit, also known as the lower plastic
limit, is the water content at which a soil changes from the plastic state to
a semisolid state. Plastic Limit (PL or wP) ‑ the water content, in percent,
of a soil at the boundary between the plastic and semi‑solid states.
It is defined as “The moisture content at which the soil behaves like
a plastic material is called plastic limit”
Or
It may also be defined as “The moisture content at which the soil changes
from plastic state to semi solid state"
Or
“The moisture content at which the soil begins to crumble when rolled
up into a thread of 3 mm in diameter”
- 3. Shrinkage
limit: Shrinkage
limit is defined as “the moisture content at which the soil change from
a semi solid state to a solid state”
Or
“The maximum water content at which the reduction in water content
will not cause decrease in total volume of soil but the increase in moisture
content will cause an increase in moisture content”
Or
It is also defined as “the lowest water content at which the soil are
still completely saturated”
- 4. Plasticity Index (PI) ‑ the range of water
content over which a soil behaves plastically. It is defined as “the
range of consistency with in which the soil exhibit plastic properties”.
Or
It is also defined as “the numerical difference between the liquid
limit and plastic limit”.
Mathematically, Plasticity index = Liquid Limit –
Plastic Limit
It is denoted by Ip and
Ip = LL – PL
- 5.
Liquidity index: Its advantage is that The liquidity index
(LI) is used for scaling the natural water content of a soil sample to
the limits.
How to find
Bearing Capacity of Soil
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Methods
of bearing capacity determination
§ Analytic
method i.e. through bearing capacity equations like using Terzaghi equation,
Meyerhof equation, Hansen equation etc
§ Correlation
with field test data e.g. Standard penetration test (SPT), Cone penetration
test (CPT) etc
§ On site
determination of bearing capacity e.g Plate load test, Pile load test
- Presumptive bearing capacity
(recommended bearing capacity, in various codes)
Following
are the methods:
- Analytical Method of Bearing capacity
determination
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Analytical
Method
Lower
Bound Failure
Lower
bound failure states that “If an equilibrium distribution of stress can be
found which balances the applied load and nowhere violates the yield
criterion, the soil mass will not fail or will just be at a point of failure
i.e. it will be a lower bound estimate of capacity. Consider the equilibrium
conditions in soil under the footing load. When the foundation pushes into
the ground, stress block 1 has principal stresses, as shown. The push into
the ground however, displaces the soil on the right side of the line OY
laterally, resulting in the major principal stress on block 2 being
horizontal as shown. When the two blocks are adjacent to each other at the
vertical line OY, then
Some
Formulae
Upper
Bound theorem
Upper
bound theorem states that “If a solution is kinematically admissible and
simultaneously satisfies equilibrium failure must result” i.e. it will be an
upper bound estimate of capacity. For a possible upper bound, consider
failure surface as semicircle. Taking moment about O
Terzaghi’s
bearing capacity equation (1943)
Terzaghi
developed a general formula for ultimate bearing capacity of spread footing
foundation under the following assumptions:
- The depth of the footing is less than
or equal to its width (D, B)
- The foundation is rigid and has a
rough bottom
- The soil beneath the foundation is
homogeneous semi-infinite mass
- Strip foundation with a horizontal
base and level ground surface under vertical loads.
- The general shear mode of failure
governs and no consolidation if the soil occurs (settlement is due only
to shearing and lateral movements of the soil)
- The shear strength of the soil is
described by s = c + σ tan
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