Cheat sheet

PE Civil Geotechnical Cheat Sheet

Site Characterization

10-15%of exam

Soil Mechanics, Lab Testing, and Analysis

10-15%of exam

Construction Observation, Monitoring, QA/QC, and Safety

7.5-11.25%of exam

Earthquake Engineering and Dynamic Loads

6.25-10%of exam

Earth Structures, Ground Improvement, and Pavement

11.25-17.5%of exam

Groundwater and Seepage

5-7.5%of exam

Problematic Soil and Rock Conditions

5-7.5%of exam

Retaining Structures

12.5-18.75%of exam

Shallow Foundations

7.5-11.25%of exam

Deep Foundations

12.5-18.75%of exam

Quick Facts

Exam owner
NCEES
Format
80 questions, computer-based
Question types
Multiple-choice and alternative item types
Seat time
9-hour appointment, 8-hour exam
Scheduled break
50 minutes, optional
Availability
Year-round at Pearson test centers
Units
SI and U.S. customary
Supplied references
Electronic handbook and listed standards
NCEES exam fee
$400
Scoring
Pass/fail, no wrong-answer penalty
Topic blueprint
Effective April 2024
Standards update
Effective April 2027
Domain percentages
Question ranges divided by 80

Seat, Then Count

Seat the sampler, then count the next two increments.

First 6 inches seatsNext 12 inches gives N

Field Test Picker

  1. Continuous soil behavior profile→CPT(Pairs tip and sleeve measurements)
  2. Need penetration pore pressures→Piezocone CPTu(Dissipation test tracks pressure decay)
  3. Blow count and disturbed sample→SPT with split barrel(Discrete sampling depths)
  4. Intact soft cohesive specimen→Thin-walled tube(Minimize disturbance)
  5. In-place soft clay strength→Field vane(Undrained response)
  6. Need rock quality and recovery→Rock coring(Log natural breaks)

Field Exploration

Historical aerials
Trace former fills and channels
Exploration depth
Capture weak layers and influence zone
Hollow-stem auger
Sample through the hollow stem
Split-barrel sampler
Disturbed sample during SPT
Thin-walled tube
Relatively intact cohesive soil
SPT N-value
Blows for final 12 inches
N₆₀
SPT adjusted to 60% energy
CPTu
Tip, sleeve, and pore pressure
Field vane
Undrained strength of soft clay
Pressuremeter
Radial pressure–deformation response
Piezocone dissipation
Track pore pressure after pausing
Normalized SPT (N₁)₆₀
N₆₀ corrected for overburden

Soil and Rock Classification

USCS fines sieve
No. 200, 0.075 mm
USCS fine-grained
≥50% passes No. 200
USCS sand–gravel split
No. 4, 4.75 mm
USCS high liquid limit
LL ≥ 50
USCS plasticity chart
Plot liquid limit and PI
Cᵤ, uniformity coefficient
D₆₀/D₁₀
Cc, curvature coefficient
D₃₀²/(D₁₀ × D₆₀)
Core recovery fraction
Recovered core length/run length
RQD percent
100 × qualifying length/run length
Mechanical breaks in core
Fit broken pieces back together
RQD length criterion
FHWA counts sound pieces >100 mm
Rock discontinuities
Orientation, spacing, persistence, infill

Drained vs Undrained

Drained response

  • Drainage during load application
  • Use c′, φ′ and effective stress

Undrained response

  • Negligible drainage during loading
  • Use sᵤ if φᵤ assumed zero

Compare loading time with drainage

Phase and Stress Formulas

Water content w
Water mass/dry solids mass
Void ratio e
Void volume/solids volume
Porosity n as fraction
e/(1 + e)
Saturation S
wGₛ/e, fractional w and S
Solids specific gravity Gₛ
Solids density/water density
Dry unit weight γd
γbulk/(1 + w), fractional w
Total vertical overburden
Sum bulk unit weight × thickness
Effective stress
σ′ = σ − u
Hydrostatic pore pressure
u = γw × pressure head
Submerged unit weight
γ′ = γsat − γw
Plasticity index PI
LL − PL
Liquidity index
(w − PL)/PI, consistent units

Strength and Lab Tests

Effective-stress shear strength
τf = c′ + σ′ₙtanφ′
UU triaxial
No consolidation or shear drainage
CU triaxial
Drain consolidation, close during shear
CD triaxial
Drain consolidation and shear
CU with pore pressure
Obtain effective-stress strength parameters
Saturated clay, φᵤ = 0
sᵤ = qᵤ/2 in unconfined compression
Direct shear
Shear on an imposed plane
Oedometer
One-dimensional compression and stress history
Constant-head lab test
Typically higher-conductivity granular soils
Falling-head lab test
Suited to lower conductivity
Hazen conductivity estimate
k ∝ D₁₀² for clean sand

Compaction vs Relative Density

Relative compaction

  • Field dry density versus Proctor
  • Reference specified compaction effort

Relative density

  • Granular soil packing index
  • Use minimum and maximum densities

Identify the reference density

Compaction and Field Checks

Proctor curve peak
Maximum dry unit weight
Optimum moisture content
Water content at Proctor peak
Modified Proctor
Higher effort than Standard Proctor
Zero air voids
100% saturation curve
Relative compaction
100 × γd,field/γd,max
Sand cone
Excavated hole volume from sand
Nuclear gauge
In-place density and moisture
Proof rolling
Reveals yielding or pumping zones

Monitoring and Trench Safety

Inclinometer
Lateral movement versus depth
Settlement plate
Vertical movement beneath fill
Piezometer
Pore pressure at instrument tip
Trench egress at ≥4 ft
≤25 ft lateral travel
Cave-in protection exceptions
Entirely stable rock or shallow exception
Excavation <5 ft exception
Competent person finds no cave-in potential
Excavation inspections
Daily, before work, after rain
Excavation inspector
Competent person when exposure anticipated
Spoil setback or restraint
≥2 ft or retaining device
Riprap scour protection
Filter retains underlying soil

Pseudostatic vs Newmark

Pseudostatic slope analysis

  • Represent shaking with inertial force
  • Compute slope safety factor

Newmark sliding block

  • Find acceleration that initiates sliding
  • Estimate permanent displacement

Match method to required output

Seismic Analysis Picker

  1. Need seismic stiffness profile→Measure shear-wave velocity(Use governing site-class criteria)
  2. Loose saturated granular deposit→Liquefaction triggering analysis(Compare CRR with CSR)
  3. Need seismic slope safety factor→Pseudostatic limit equilibrium(Horizontal inertia kₕW)
  4. Need permanent sliding displacement→Newmark sliding-block analysis(Use yield acceleration)

Seismic Demand and Resistance

Site class
Apply governing edition’s profile criteria
Vₛ₃₀
30 m / summed layer travel times
Small-strain shear modulus
Gmax = ρVₛ²
PGA
Peak ground acceleration
Liquefaction susceptibility
Screen loose saturated granular soils
CSR
Cyclic stress ratio, shaking demand
CRR
Cyclic resistance ratio, soil capacity
Liquefaction factor of safety
CRR/CSR on same basis
Liquefaction lateral spreading
Lateral ground displacement after triggering
Simplified CSR equation
0.65(amax/g)Rσrd
CSR stress ratio Rσ
Initial total/effective vertical stress
CSR factor rd
Depth-dependent stress reduction
CSR acceleration ratio amax/g
Peak ground acceleration/gravity

Ground Improvement Picker

  1. Slow consolidation in soft clay→Preload with wick drains(Monitor pore pressure and settlement)
  2. Loose clean granular deposit→Consider vibrocompaction(Densify granular soil)
  3. Reduce added embankment stress→Consider lightweight fill(Lower applied dead load)
  4. Need stiffer treated ground→Consider deep soil mixing(Trial mix verifies binder response)
  5. Weak shallow pavement subgrade→Consider undercut and replacement(Verify replacement support and drainage)
  6. Need separate soil and aggregate→Consider separator geotextile(Check filtration and installation survivability)

Slopes and Earth Structures

Slope factor of safety
Available strength/mobilized shear demand
Infinite slope
Shallow plane parallel to slope
Simplified Bishop
Circular slip surface
Spencer
Force and moment equilibrium
Rapid drawdown
External support drops before drainage
Toe berm
Adds resistance near slope toe
Landfill liner interface
Check interface shear strength
Embankment staging
Track settlement and pore pressure

Ground Improvement and Pavement

Wick drains
Shorten drainage path, accelerate consolidation
Preloading
Induce settlement before service
Deep soil mixing
Blend binder with in-place soil
Lightweight fill
Reduces stress on weak soils
Geotextile filtration
Pass water, retain soil
Geosynthetic separation
Limits mixing of adjacent layers
Flexible pavement
Asphalt over supporting layers
Rigid pavement
Concrete slab distributes loads
CBR
Penetration resistance relative to standard
Resilient modulus
Repeated-load stiffness of subgrade
Geogrid reinforcement
Mobilizes tensile resistance
April 2027 geosynthetics reference
Adds FHWA-NHI-07-092

Darcy vs Seepage Velocity

Darcy velocity

  • Q divided by gross area
  • Equals ki

Seepage velocity

  • Q divided by pore area
  • Equals ki/n for saturated flow

Use porosity for pore velocity

Dewatering Picker

  1. Shallow drawdown in permeable soil→Consider wellpoints(Suction lift limits each stage)
  2. Deep drawdown with high flow→Consider pumped deep wells(Set submersible pumps below drawdown)
  3. Deep drawdown with small flows→Consider jet eductors(Useful in silty fine sands)
  4. Artesian uplift below excavation→Pressure relief wells(Check basal uplift separately)
  5. Drawdown near sensitive structures→Monitor head and settlement(Consider cutoff or recharge)

Head and Flow Formulas

Seepage head h
z + u/γw
Head symbols z and γw
Elevation and water unit weight
Hydraulic gradient i
Head loss/flow length
Darcy discharge Q
kiA, area normal to flow
Seepage velocity
Q/(An), saturated flow
Isotropic flow net
Flow per width = kΔhNf/Nd
Flow-net counts
Nf channels, Nd equipotential drops
Head loss per drop
Total head loss/Nd
Critical upward gradient
ic = γ′/γw
Exit heave safety factor
Critical gradient/local exit gradient
Piping
Seepage carries soil particles
Permeability k
Hydraulic conductivity, length per time

Frost Heave Ingredients

Frost heave needs cold, water, and susceptible soil.

Freezing temperaturesAvailable waterFrost-susceptible soil

Expansive vs Collapsible

Expansive soil

  • Wetting can cause heave
  • Measure swell or swell pressure

Collapsible soil

  • Wetting under load causes settlement
  • Measure inundation strain in oedometer

Compare wetting-induced volume changes

Ground Hazards

Karst
Dissolution cavities and sinkholes
Peat and organic deposits
High compressibility and creep
Sensitive clay
Strength loss when remolded
Clay sensitivity
Intact/remolded undrained shear strength
Frost heave
Ice lenses lift ground
Thaw weakening
Thaw reduces support
Corrosivity indicators
Resistivity, pH, chlorides, sulfates
Rock slope kinematics
Compare joints with slope face
Rockfall catch ditch
Intercepts falling rock

Wall Load Shapes

Uniform surcharge makes a rectangle, hydrostatic water a triangle.

Rectangle at midheightTriangle toward deeper endIntegrate soil pressure separately

Active vs Passive Pressure

Active

  • Wall moves away from soil
  • Pressure drops toward active limit

Passive

  • Wall moves toward soil
  • Pressure rises toward passive limit

Passive generally requires more movement

Wall Pressure Picker

  1. Wall restrained against movement→At-rest K₀(Use stress history)
  2. Wall moves away enough→Active Kₐ(Movement away from backfill)
  3. Wall moves into soil enough→Passive Kₚ(Verify mobilization and available soil)
  4. Multilevel bracing or anchors→Applicable apparent pressure envelope(Account for excavation stages)
  5. Water behind wall→Add separate pore pressure(Check expected drainage conditions)

Earth Pressure Formulas

Basic Rankine assumptions
Smooth vertical wall, level cohesionless backfill
Rankine active Kₐ
tan²(45° − φ′/2)
Rankine passive Kₚ
tan²(45° + φ′/2)
Normally consolidated K₀ estimate
1 − sin φ′
Cohesionless lateral pressure
Kσ′ᵥ + u
Uniform surcharge increment
Δσₕ = Kq
Triangle resultant per width
½ × height × peak pressure
Triangle force location
H/3 from high-pressure end
Uniform surcharge force location
H/2 above base
K in Kσ′ᵥ + u
Coefficient selected by wall movement

Wall and Excavation Checks

Wall sliding
Compare horizontal resistance and demand
Bearing and eccentricity
Check base resultant and pressure
Global stability
Trial surface beyond wall footprint
MSE internal stability
Reinforcement rupture and pullout
MSE external stability
Treat reinforced fill as block
Braced cut support loads
Use applicable apparent pressure envelope
Ground anchor bond zone
Locate beyond potential failure surface
Cofferdam base stability
Check uplift and seepage exit
Underpinning
Transfers existing foundation loads
Soil nail
Passive reinforcement mobilized by movement
Tieback anchor
Prestressed tendon transfers tensile load

Two Drains, Half Path

Two drainage faces halve the vertical drainage path.

Time scales with path squaredSame final settlement, other inputs fixed

ASD vs LRFD

ASD

  • Compare service demand and allowable resistance
  • Apply safety factor to resistance

LRFD strength

  • Compare factored demand and resistance
  • Apply load and resistance factors

Use one framework consistently

Settlement Method Picker

  1. Short-term sand settlement→Consider Schmertmann method(Strain influence and stiffness)
  2. Loading below preconsolidation stress→Use recompression index Cr(Overconsolidated stress range)
  3. Stress crosses preconsolidation→Use Cr then Cc(Split stress interval)
  4. Loading normally consolidated clay→Use compression index Cc(Virgin compression range)
  5. Time to target consolidation→Use longest drainage path(Single drainage uses full thickness)

Bearing and Eccentricity

Basic drained strip bearing
qult = c′Nc + q′Nq + ½γBNγ
Bearing surcharge q′
Effective overburden at footing base
Bearing γ term
Use groundwater-adjusted unit weight
Net ultimate pressure
Gross ultimate minus base overburden
Uniaxial eccentricity
e = M/V
Meyerhof effective width
B′ = B − 2|e|
Linear full-contact pressure
q = V/A ± M/S
Section modulus S
Use base area about bending axis
Rectangular no-tension limit
|e| ≤ B/6, uniaxial loading
Basic strip bearing geometry
Centered vertical load, level ground

Bearing vs Settlement

Bearing capacity

  • Soil shear failure limit
  • Check strength or safety factor

Settlement

  • Vertical movement under service loads
  • Check total and differential movement

Evaluate strength and serviceability

Footing Settlement

Immediate settlement
Initial soil deformation under load
Primary consolidation
Excess pore pressure dissipation
Secondary compression
Time-dependent soil skeleton creep
Overconsolidation ratio OCR
Preconsolidation stress/current vertical effective stress
Recompression index Cr
Recompression e–log₁₀ stress slope magnitude
Compression index Cc
Virgin e–log₁₀ stress slope magnitude
Primary settlement from void loss
H₀Δe/(1 + e₀), Δe positive
Consolidation time factor
Tᵥ = cᵥt/Hdr²
Double drainage, uniform layer
Hdr = half layer thickness
Single drainage, uniform layer
Hdr = full layer thickness
2-to-1 stress estimate
Net applied load/spread area
2-to-1 spread area
(B+z) × (L+z)
2-to-1 depth z
Measure below footing base
Compression range void loss
Δe = Cc log₁₀(σ′f/σ′i)
Recompression range void loss
Δe = Cr log₁₀(σ′f/σ′i)
Stress ratio σ′f/σ′i
End/start stress for each segment

Side, Toe, Drag

Side and toe resist, settling ground can drag.

Side along shaftToe at baseDrag above neutral plane

Load Test vs Integrity Test

Load testing

  • Measures response or estimates resistance
  • Static or high-strain dynamic

Integrity testing

  • Screens for material or geometry anomalies
  • Sonic or thermal methods

Match test to measured property

Pile and Shaft Test Picker

  1. Need measured load–movement curve→Static load test(Specify loading direction)
  2. Need driven-pile resistance estimate→High-strain dynamic test(Interpret force and velocity signals)
  3. Check shaft concrete between tubes→Crosshole sonic logging(Compare wave travel and energy)
  4. Check shaft via curing temperatures→Thermal integrity profiling(Look for thermal anomalies)
  5. Need lateral head displacement→p–y analysis or lateral test(Account for group effects)

Axial and Lateral Pile Response

Axial compression resistance
Side resistance plus toe resistance
Shaft resistance by layer
Unit side resistance × side area
Toe resistance
Unit toe resistance × toe area
α method
αsᵤ, total-stress unit side resistance
β method
βσ′ᵥ, effective-stress unit side resistance
Drag load
Settling soil pulls pile downward
Neutral plane
Pile and soil settlements equal
p–y curve
Soil reaction/length versus lateral displacement
t–z curve
Shaft transfer versus axial displacement
q–z curve
Toe transfer versus axial displacement
Group p-multiplier
Scales lateral soil reaction
Downdrag
Foundation settlement from drag load
Deep foundation structural check
Check axial force and bending
Scour allowance
Exclude soil above scour line

Deep Foundation Installation

Driven pile
Driven with impact or vibration
Restrike
Check time-dependent driven-pile resistance
Pile setup
Resistance increases after driving
Pile relaxation
Resistance decreases after driving
Wet drilled shaft
Maintain stabilizing fluid head
Tremie placement
Keep outlet embedded in concrete
Micropile
Small-diameter drilled, grouted element
Continuous-flight auger pile
Pump grout/concrete during auger withdrawal
Foundation standard before April 2027
NAVFAC DM-7.02
Foundation standard from April 2027
UFC 3-220-20

Common Traps

Sample Quality

High core recovery ≠ High rock quality designation

Stress Accounting

Total stress from layer weights ≠ Effective stress carried by skeleton

Drainage

Hydrostatic pore pressure ≠ Pore pressure under seepage

Excavation Support

Trench shield protects workers ≠ Shoring supports excavation sides

Seismic Checks

Liquefaction triggering ≠ Post-trigger deformation

Backfill

Effective soil pressure ≠ Total pressure including water

Footing Contact

Meyerhof equivalent uniform pressure ≠ Peak linear contact pressure

Consolidation

Layer thickness for settlement ≠ Drainage path for consolidation time

Pile Groups

Sum of individual pile resistances ≠ Group block resistance

Code Editions

ASCE 7-16 before April 2027 ≠ ASCE 7-22 from April 2027

Last Minute

  1. 1.Use standards for your exam date
  2. 2.Match SI or U.S. customary units
  3. 3.Identify soil layers and groundwater
  4. 4.Subtract pore pressure from total stress
  5. 5.Match strength to drainage conditions
  6. 6.Compare dry density with Proctor maximum
  7. 7.Compare cyclic resistance with shaking demand
  8. 8.Check seepage exit gradient and uplift
  9. 9.Select earth pressure by wall movement
  10. 10.Add water and surcharge pressures
  11. 11.Check footing bearing and settlement
  12. 12.Check pile resistance and drag load
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