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