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Dr
relative density
emax
maximum void ratio
emin
minimum void ratio
Gs
specific gravity of solids
e
insitu void ratio
ρw
density of water
𝛾 = 𝛾m
moist unit weight
𝛾sat
saturated unit weight
𝛾d
dry unit weight
𝛾s
unit weight of solids
𝛾’
effective unit weight
CR
relative compaction
K
coefficient of lateral earth pressure at rest
σH′
horizontal effective stress
σV′
vertical effective stress
σV
vertical stress
u
pore water pressure = (unit weight of water 𝛾w)(depth below ground water table H)
z
depth below soil
densification of soils
Removal of air voids
Application of mechanical energy
Consolidation removes water slowly
purpose of densification of soils
Reduce settlement potential
Increase strength
Decrease permeability
water added to soil
Act as lubricant
Reduces surface tension
Obtain higher dry unit weight (If too much water is added, dry unit weight goes down)
most suitable soils for smooth wheel/drum roller
well-graded sand gravel, crushed rock, asphalt
most suitable soils for pneumatic or rubber-tired rollers
coarse grained soils with some fines
most suitable soils for grid rollers
weathered rock, well-graded coarse soils
most suitable soils for sheepsfoot rollers, static
fine grained soils with >20% fines
most suitable soils for sheepsfoot rollers, vibratory
fine grained soils with >20% fines and sand-gravel mixes
most suitable soils for vibrating plates
coarse soil, 4-8% fines
tampers/rollers
all types
standard proctor test
3 layers (lifts)
25 blows
5.5 lb hammer
12” height
modified proctor test
5 layers
25 blows
10 lb hammer
18” height
Requires more energy
why was the modified proctor test made?
Soils needed higher unit weights to support heavier vehicles and aircraft in and after WW2
method specification
follow a procedure designed by the engineer
Type of roller, weight of roller, # of passes, lift thickness, acceptable moisture content range
end product specification
defines final required properties (given by engineer). Contractor can achieve in any way they desire
factors affecting field compaction
1) Weight of Roller (heavier roller = greater density. NOT TRUE IF BEARING CAPACITY OF SOIL IS EXCEEDED
2) Number of Coverages (minimum 4-8 passes required for efficient use of rollers. less passes = more cost efficient)
3) Contact Pressure (higher contact pressures = compact deeper lifts due to deeper stress penetration)
4) Lift Thickness (higher pressures allow for thicker lifts to be compacted)
5) Water Content (very important for compaction efforts and equipment operation)
field compaction steps
Select borrow soil
Haul to site to dump
Spread into layers
Alter moisture content (dry or wet the soil)
Mix soil to make uniform and break lumps
Compact the soil by rolling (Method Specification or End-Product Specification)
methods to measure water content and density
Sand Cone - Direct
Oven Drying - Direct
Nuclear Probes – Indirect
Assumptions
homogeneous (same properties throughout), isotropic (same properties in all directions at a point), elastic, half-space (semi-infinite).