CIVE40009 Geotechnics Flashcards
Water content ?
w = mass of water / mass of dry soil
= Mw / Ms
= ρwVw / ρsVs
=(Sr*e) / Gs
Define soft ground
exhibits significant displacement in response to an applied load
Describe the relationship between void ratio and resistance to load
higher void ratio (e) = lower resistance
Unit Weight ?
force per unit volume in kN/m^3
Specific Gravity
Gs = ρ solid / ρ water
(ratio of densities of soil mineral and water)
Specific Gravity
Gs = ρ solid / ρ water
(ratio of densities of soil mineral and water)
Void Ratio ?
e = volume of voids / volume of solid
(Vv/Vs) or (Vw+Vg)/Vs
Specific Volume
v = total volume / volume of solid
=(Vv +Vs)/Vs
=1 +e
Solid Volume Fraction ?
= volume of solid / total volume
= Vs / (Vv + Vs)
= 1/v
Porosity ?
n = volume of voids / total volume
=Vv / (Vv+Vs)
=e/(1+e)
=(v-1)/v
Degree of Saturation ?
Sr = Vol of liquid / vol of voids
= Vw / Vv
= Vw / Vw + Vg
Air Void Ratio ?
a = vol gas / total volume
= Vg / Vv + Vs
= (1-Sr)e / 1 + e
Mass of Liquid Content ?
Mw = Sreρw*Vs
Bulk Density ?
(Sr*e + Gs)/(1+e) * ρw
Saturated Density ?
ρ sat = (e + Gs)/(1+e) * ρw
Dry Density ?
ρd = Gs/(1+e) * ρw
= Gs*ρw/v
Specific Volume ?
v = ρs/ρd
Buoyant Weight ?
y’ = y - yw
(unit weights)
- effective weight of a soil sample when it is submerged in a fluid
- calculated by subtracting the weight of the displaced fluid from the weight of the soil sample
Vertical Stress Differential ?
dσz / dz = ρg = y( unit weight )
Gradient of Increase in Pore Water Pressure over Depth ?
du / dz = ρw*g = yw (unit weight)
u = pore water pressure
Effective Stress ?
difference between total (vertical) stress & pore pressure
σ’z = σz - u
(in equilibrium)
- stress that is transmitted through the solid skeleton (as opposed to water-filled voids) of a soil, and it governs the shear strength, compressibility, and settlement characteristics of soil
How can you link effective stress & buoyant weight ?
dσ’z/dz = dσz/dz - du/dz = y - yw = y’
how to find water content of a soil ?
using a ratio of masses
method : soil moisture analysis
1. Weigh sample and record the weight as initial dry weight.
2. Place the soil sample in an oven and dry it at constant temp.
3. allow it to cool in a desiccator (using drying agent e.g. silica gel)
4. Weigh the soil and record the weight as final dry weight
Water content (%) = [(Initial dry weight - Final dry weight)/Final dry weight] x 100%
how do you determine the specific gravity of soil minerals ?
pycnometer method
1. weigh pycnometer (small glass bottle with stopper & narrow tubular hole, known volume) M1
2. place some dry soil particles in bottle & weigh, M2
3. fill with water - ! ensure no trapped air ! & weigh M3
4. empty & clean the pycnometer
5. fill with water only, & weigh M4
Gs = (M2-M1) / [ (M4-M3) + (M2-M1) ]
= mass of dry soil / mass of displaced water - mass of dry soil
this method provides an average specific gravity for the soil sample, and it assumes that the soil particles have a uniform density
how do you determine degree of saturation
- determine density of soil :
- remove soil, insert flexible membrane lining, fill hole with water to identify volume - using mass of displaced soil & volume, calculate in-situ density
- using specific gravity, calculate void ratio : e = (Gs * (ρw/ρd))-1
- hence calculate degree of saturation : Sr = [((1+e) * ρ)/(ρw -Gs)]/ e
compaction ?
mechanically increasing the density of soil by reducing its volume’
usually by a roller or falling weight
how does ease of compaction vary with moisture content
compaction energy required to achieve a certain density increases as the degree of saturation increases, as at lower moisture contents the soil particles can more easily be displaced
until the optimum moisture content - moisture content at which this maximum dry density is achieved
over- and under- compaction can have considerable structural consequences :
beyond the optimum moisture content may result in reduced strength and stability (over)
under-compaction may lead to excessive settling and deformation
how are soil particles formed
processes of erosion, transport & weathering from parent rocks
different minerals have varying resistance to temperature, humidity & chemical weathering
what are the means of transport of soil particles
gravity (e.g. landslide), ice (e.g. glaciers), water, air (wind)
riffling ?
process of dividing a soil sample into smaller representative samples
According to the BS1999 classification system what is the boundary between fine and coarse-grained soils
75µm
what are the two soil behaviour framworks ?
Nature
- essential, intrinsic characteristics of the soil due to the materials in the composition
- e.g. particle size distribution (PSD), mineralogy (plasticity)
State
- physical conditions in the environment the soil is in
- e.g. exposure to weathering
what is the coefficient of uniformity
Cu = d60 / d10
poorly graded : Cu<4
describes degree of uniformity or variation in the soil particle sizes
high coefficient of uniformity = narrow range of particle sizes = well-graded
low coefficient of uniformity = wider range of particle sizes = poorly graded
what is the coefficient of curvature
Cz = (d30)^2 / d60*d10
well graded: 1<Cz<3
gap graded outside of this range
identifies gaps
When would you use dry and wet sieving respectively
Dry - for soils containing insignificant amounts of silt & clay ONLY (due to flocculation & agglomeration)
Wet - for most coarse-grained soils
at what PSD would sedimentation & seiving techniques be used respectively ?
Sedimentation : fine-grained soils, such as silt and clay
PSD of < 425 microns
Seiving : coarse-grained soils
sedimentation methods ?
hydrometer & pipette :
- relies on application of Stokes’ Law
- assumed smooth spherical particles, in reality angular & rough
- through the settiling of soil particles suspended in a liquid
- uses settling velocity
- not applicable to particles < 0.2 in diameter
laser diffraction :
- based on the principle that the intensity of light scattered by particles is proportional to their size
seiving methods ?
- soil passed through series of stacked seives with decreasing aperture
- limitation : not ideal for non-spherically shaped soil particles
undisturbed soil ?
soil in its natural state
remoulded soil ?
disturbed from its natural structure with some/most of its natural structure removed due to mechanical means (eg mixing)
intact soil ?
somewhat disturbed, some loss of natural structure
reconstituted soil ?
all of its natural structure has been removed due to mechanical mixing
- at 1.5-2x liquid limit
reconstituted soil ?
all of its natural structure has been removed due to mechanical mixing
- at 1.5-2x liquid limit
liquidity index ?
used for clays to quantify soil state :
IL = (w-wp) / (wL-wp)
w = water content
wp = water content at plastic limit
wL = ‘’ at liquid limit
relative density ?
used to quantify state of sands :
Dr = (emax - e) / (emax - emin)
e = void ratio
how do you find the plastic limit ?
roll to about 3 mm diameter in a given number of rolls
subjective
Atterberg Limits ?
set of tests used to determine the properties of fine-grained soils, such as silt and clay
Liquid limit (LL): lowest water content at which soil cannot maintain its shape (soil changes plastic state –> liquid state).
Plastic limit (PL): Lowest water content where soil is deformable without cracking/crumbling ( changes semi-solid state to a plastic state )
Shrinkage limit (SL): The water content at which further loss of moisture will not cause any more volume reduction.
classifying fine grained soils
plasticity index ?
Ip = wL - wP
how to you find the liquid limit ?
cone penetrometer (less subjective & more repeatable)
casagrande cup (more subjective & more dependant on operator)
which parameters describe nature & state conditions ?
Nature :
clays : mineral composition, wP, wL, Ip
sands : mineral comp, PSD, emin, emax
State :
clays : w, e, LI (liquidity index), clay structure
sand : grain structure, e , Dr, State parameter
soil fabric ?
arrangement of soil particles in a soil mass, including their shape, size, orientation, and distribution
(non-scalar quantity)
relative compaction ?
RC = pd / pdmax
pd = dry density
used for state quantification of soil mixtures
consolidation ?
for saturated soils :
- densification of soil by applying external loads
- to remove water
- hence decreased void volume
why compact soils ?
- increase stiffness (reduces settlement)
- increase strength ( bearing capacity, liquefaction resistance etc.)
- reduce permeability
- reduces air voids
porosity ?
volume of void spaces (pores) within a soil or rock
n = Vv / Vt
volume of voids / total volume
expressed as percentage
note void ratio is relative to total volume of solid, porosity to total volume
specific volume ?
V = 1 + e
volume containing 1 unit Volume of solid material
examples of uses of compacted soils
- retaining wall backfill
- road embankment
- earth dam
- offshore pipeline backfill