FE Exam Formulas Ch. 12 Flashcards by Luke Bockman

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

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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

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Purpose and Variables of…

Plastic Index

LL=Liquid Limit
PL=Plastic Limit

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Purpose of…

Moisture or Water Content

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Purpose of…

Degree of Saturation

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Purpose of…

Total Unit Weight

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Purpose of…

Dry Unit Weight

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Purpose of…

Solids Unit Weight

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Purpose of…

Void Ratio

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Purpose of…

Porosity

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Purpose of…

Specific Gravity

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Purpose and Variables of…

Dry Unit Weight

Ws=Unit Weight of Solids
V=Volume

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Purpose and Variables of…

Dry Unit Weight

Gs=specific gravity
gammaw=specific density of water (62.4)
e=void ratio

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Purpose and Variables of…

Saturated Unit Weight

Gs=specific gravity
gammaw=specific density of water (62.4)
e=void ratio

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Purpose and Variables of…

Effective (submerged or buoyant) Unit Weight

gamma’=effective unit weight
gammasat=saturated unit weight
gammaw=62.4 or 9.81

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Purpose and Variables of…

Void Ratio

Gs=specific gravity
gammaw=specific density of water (62.4)
e=void ratio
gammaD=dry unit weight

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Purpose and Variables of…

Porosity

e=void ratio

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Purpose and Variables of…

Degree of Saturation

omega=
Gs=specific gravity
e=void ratio

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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

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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