FE Exam Formulas Ch. 12 Flashcards
Purpose and Variables of…
Uniformity Coefficient
D60=particle size at which 60% of the particles are finer
D10=particle size at which 10% of the particles are finer
Purpose and Variables of…
Coefficient of Curvature
D60=particle size at which 60% of the particles are finer
D30=particle size at which 30% of the particles are finer
D10=particle size at which 10% of the particles are finer
Purpose and Variables of…
Plastic Index
LL=Liquid Limit
PL=Plastic Limit
Purpose of…
Moisture or Water Content
Purpose of…
Degree of Saturation
Purpose of…
Total Unit Weight
Purpose of…
Dry Unit Weight
Purpose of…
Solids Unit Weight
Purpose of…
Void Ratio
Purpose of…
Porosity
Purpose of…
Specific Gravity
Purpose and Variables of…
Dry Unit Weight
Ws=Unit Weight of Solids
V=Volume
Purpose and Variables of…
Dry Unit Weight
Gs=specific gravity
gammaw=specific density of water (62.4)
e=void ratio
Purpose and Variables of…
Saturated Unit Weight
Gs=specific gravity
gammaw=specific density of water (62.4)
e=void ratio
Purpose and Variables of…
Effective (submerged or buoyant) Unit Weight
gamma’=effective unit weight
gammasat=saturated unit weight
gammaw=62.4 or 9.81
Purpose and Variables of…
Void Ratio
Gs=specific gravity
gammaw=specific density of water (62.4)
e=void ratio
gammaD=dry unit weight
Purpose and Variables of…
Porosity
e=void ratio
Purpose and Variables of…
Degree of Saturation
omega=
Gs=specific gravity
e=void ratio
Purpose and Variables of…
Relative Density
gammad=in situ dry unit weight
gammadmin=minimum dry unit weight
gammadmax=maximum dry unit weight
emax/min=max/min void ratio
Purpose of…
Relative Compaction
Purpose and Variables of…
Total Vertical Stress
sigmav=total vertical stress
gammai=total unit weight of the soil layer above the level where the stress is calculated
zi=unit weight thickness of soil layer
Purpose and Variables of…
Pore Water Pressure
gammaw=unit weight of water
zw=height of water column above POI
Purpose and Variables of…
Pore Water Pressure in Seepage Case
gammaw=unit weight of water
hp=height of water column above POI
Purpose and Variables of…
Effective Vertical Stress
sigmav=total vertical stress
u=pore water pressure
Purpose of…
Lateral Earth Pressure Coefficient
Purpose of…
At Rest Earth Pressure
Purpose of…
Active Earth Pressure
Purpose and Variables of…
Passive Earth Pressure
Purpose of…
Factor of Safety Overturning
MR=resisting moment
MO=overturning moment
Purpose of…
Factor of Safety Sliding
FR=resisting forces
FD=driving forces
Purpose of…
Factor of Safety Sliding
SIGMAV=sum of vertical forces
delta=friction angle between the base of the wall and the foundation soil
Purpose of…
Factor of Safety Bearing Capacity
qult=ultimate bearing pressure
Purpose and Variables of…
Bearing Pressure from Toe
SIGMAV=sum of vertical forces
e=eccentricity
Purpose and Variables of…
Eccentricity
MR=resisting moment
MO=overturning moment
SIGMAV=sum of vertical forces
Purpose and Variables of…
Total Normal Stress
P=normal force
A=cross-sectional area
Purpose and Variables of…
Effective Stress
sigma=total normal stress
u=pore water pressure
Purpose and Variables of…
Shear Stress
T=shear force
A=cross-sectional area
Purpose and Variables of…
Shear Total Stress
tauF=shear strength at failure
sigmaN=stress normal to shear plane at failure
phi=angle of friction
Purpose and Variables of…
Terzaghi’s Bearing Capacity Theory
qult=ultimate bearing pressure
Nc=bearing capacity factor for cohesion
Nq=bearing capacity factor for depth
Ngamma=bearing capacity factor for unit weight
Df=depth of footing below ground surface
B=width of the strip footing
Purpose of…
Allowable Bearing Capacity
Purpose and Variables of…
Compression Index
deltae=change in void ratio
p1,p2=stress due to load
Purpose and Variables of…
Compression Index
LL=liquid limit
Purpose and Variables of…
Recompression Index
deltae=change in void ratio
p1,p2=stress due to load
Purpose and Variables of…
Average Degree of Consolidation
UAV=average degree of consolidation
St=settlement at time t
Sult=total predicted settlement
Purpose and Variables of…
Time Factor
cv=coefficient of consolidation
Hd=length of the shortest drainage path
Purpose and Variables of…
Slope Failure Along Planar Surface
TFF=available shearing resistance along slip surface
TMOB=mobilized shear force along slip surface
Purpose and Variables of…
Available Shearing Resistance
TFF=available shearing resistance along slip surface
Ls=length of assumed planar slip surface
Wm=weight of soil mass above the slip surface
alphas=angle of assumed slip surface relative to horizontal plane
Purpose and Variables of…
Mobilized Shear Force
TMOB=mobilized shear force along slip surface
Wm=weight of soil mass above the slip surface
alphas=angle of assumed slip surface relative to horizontal plane
