Cheat sheet

PE Civil Cheat Sheet

Construction

20%of exam

EarthworkCPM SchedulingEstimatingTemporary Structures

Geotechnical

20%of exam

Soil ClassificationBearing CapacityRetaining WallsDeep Foundations

Structural

20%of exam

Load CombinationsBeam MechanicsConcrete DesignSteel Design

Transportation

20%of exam

Geometric DesignTraffic CapacityPavement DesignSignals

Water Resources & Environmental

20%of exam

HydrologyHydraulicsWater TreatmentWastewater Treatment

Quick Facts

Exam
NCEES PE Civil
Format
CBT, 80 questions
Time
9-hour appointment
Pass score
Not published (scaled)
Disciplines
5, pick one
Level
Professional licensure
Reference
Open-book handbook
Blueprint
April 2024 specs

CPM Forward and Backward Pass

Forward finds ES/EF, backward finds LS/LF

Forward: early timesBackward: late timesFloat: LS minus ES

Loose vs Compacted Volume

Loose (swell)

  • After excavation from bank
  • Volume increases
  • Factor greater than 1

Compacted (shrink)

  • After compaction in place
  • Volume decreases
  • Factor less than 1

Both measured versus bank

Earthwork & Volumes

Bank volume
In-place undisturbed soil volume
Swell factor
Loose volume over bank volume
Shrinkage factor
Compacted volume over bank volume
Load factor
Bank volume over loose volume
Cut/fill balance
Match earthwork volumes on-site

Total Float vs Free Float

Total float

  • Delays entire project finish
  • Equals LS minus ES

Free float

  • Delays only next activity
  • Uses successor's early start

Project-wide vs local delay

CPM Scheduling

ES/EF
Early start and early finish
LS/LF
Late start and late finish
Total float
Late start minus early start
Free float
Delay without affecting successor
Critical path
Zero-float longest activity path

Estimating & Economics

Quantity takeoff
Measure plan quantities method
Net present value
Discounted future cash flow
Break-even analysis
Cost equals revenue point
Earned value
Budgeted cost of work done
Productivity rate
Output per labor hour

Temporary Structures & Safety

Formwork
Temporary concrete casting mold
Falsework
Supports wet concrete or erection
Shoring
Vertical excavation support system
OSHA Type A/B/C
Soil stability classifications
5-ft excavation rule
OSHA protective system trigger depth

USCS Soil Symbol Logic

Gravel/sand coarse; silt/clay fine soils

G: gravelS: sandM: siltC: clay

Total Stress vs Effective Stress

Total stress

  • Includes soil and water weight
  • Symbol sigma total

Effective stress

  • Grain-to-grain contact stress
  • Total stress minus pore pressure

Subtract pore water pressure

Foundation Type Selection

  1. Shallow, good soil, low loadSpread footing(Bearing capacity governs design)
  2. Poor soil, high loadDeep foundation(Piles or drilled shafts)
  3. Very deep bedrock onlyDrilled shaft(Cast-in-place, large capacity)
  4. Vibration-sensitive adjacent siteDrilled shaft(Avoid pile driving vibration)
  5. Lateral load dominant caseCheck lateral capacity(p-y curve analysis)
  6. Uplift or tension loadAnchor or helical pile(Tension resistance needed)

Soil Classification (USCS)

GW/GP
Well-graded or poorly graded gravel
SW/SP
Well-graded or poorly graded sand
ML/CL
Low-plasticity silt or clay
MH/CH
High-plasticity silt or clay
Plasticity index PI
Liquid limit minus plastic limit

Bearing Capacity Equation Terms

qult = cNc + qNq + 0.5γBNγ

Nc: cohesion termNq: surcharge termNγ: unit weight term

Shallow vs Deep Foundation

Shallow foundation

  • Spread or mat footings
  • Governed by bearing capacity

Deep foundation

  • Piles or drilled shafts
  • Skin friction plus end bearing

Load depth to bearing soil

Bearing Capacity & Settlement

Terzaghi equation
qult = cNc+qNq+0.5γBNγ
Nc, Nq, Nγ
Bearing capacity factors
FS bearing
qult divided by qallow value
Consolidation settlement
Time-dependent clay compression process
Void ratio e
Void volume over solid volume

Earth Pressure & Retaining Walls

Ka
Active earth pressure coefficient
Kp
Passive earth pressure coefficient
K0
At-rest earth pressure coefficient
MSE wall
Mechanically stabilized earth wall

Deep Foundations & Slope Stability

Skin friction
Pile shaft side resistance
End bearing
Pile tip resistance
Drilled shaft
Cast-in-place deep foundation
Liquefaction
Saturated sand loses strength

LRFD Load Combination Memory Aid

1.2D + 1.6L usually governs gravity

1.2D: dead load factor1.6L: live load factorCheck wind and seismic too

ASD vs LRFD

ASD

  • Service-level loads used
  • One combined safety factor
  • Required for wood design

LRFD

  • Factored loads and resistance
  • Separate load and resistance factors
  • Common for steel and concrete

Service loads vs factored loads

ASD vs LRFD Method Picker

  1. Wood design (PE Civil)ASD(NCEES mandates wood ASD)
  2. Steel or concrete designLRFD or ASD(AISC and ACI both allow)
  3. Retaining wall designASD or LRFD(Per NCEES geotechnical spec)
  4. Deep foundation capacity calcASD or LRFD(Candidate's choice, be consistent)
  5. Bridge design per AASHTOLRFD(AASHTO LRFD 8th edition)
  6. Unsure which factor appliesCheck question's given units(Nominal vs factored values)

Loads & Load Combinations

ASCE 7
Minimum design loads standard
LRFD combo
1.2D + 1.6L governs
ASD combo
D + L governs
Tributary area
Load-collection floor area
Seismic load
Mass times acceleration response

Beam Mechanics & Sections

Shear diagram
Slope of moment diagram
Moment diagram
Integral of shear diagram
Section modulus S
Moment of inertia over c
Flexure stress
f = Mc/I formula
Max deflection
PL cubed over 48EI

Concrete & Steel Design

ACI 318
Concrete design code
Flexure phi factor
0.9 for tension-controlled sections
AISC Manual
Steel design reference book
Development length
Rebar embedment for bond

Horizontal Curve Point Labels

PC, PI, PT mark curve points

PC: curve beginsPI: tangents intersectPT: curve ends

Sag vs Crest Vertical Curve

Crest curve

  • High point of curve
  • Daytime stopping sight distance

Sag curve

  • Low point of curve
  • Headlight sight distance governs

Grade change direction differs

Geometric Design

Curve radius R
Center to curve distance
Tangent length T
PC to PI distance
Middle ordinate M
Curve to chord offset
SSD
Stopping sight distance
Superelevation e
Curve cross-slope rate

Traffic Capacity & Signals

LOS
Level of service A-F
v/c ratio
Volume over capacity ratio
PHF
Peak hour factor
HCM
Highway Capacity Manual reference
Clearance interval
Yellow plus all-red time

Pavement & Drainage Design

ESAL
Equivalent single axle load
CBR
California bearing ratio
Structural number SN
Flexible pavement thickness index
Rigid pavement
PCC slab, AASHTO design

Water Treatment Train Order

Coagulate, flocculate, settle, filter, disinfect

Coag/floc: clump particlesSediment: settle outFilter: strain remainingDisinfect: kill pathogens

Rational vs SCS/NRCS Method

Rational method

  • Small watersheds under 200 acres
  • Peak flow rate only
  • Simple, fast hand calculation

SCS/NRCS method

  • Larger, complex watersheds
  • Full runoff hydrograph shape
  • Curve number based on soil

Watershed size drives method

Runoff / Hydrology Method Picker

  1. Small urban watershed (<200 ac)Rational method(Q=CiA formula)
  2. Larger or complex watershedSCS/NRCS method(Curve number based)
  3. Need full hydrograph shapeUnit hydrograph(Time-distributed flow)
  4. Storm sewer sizingRational plus Manning's(Peak flow, pipe size)
  5. Detention pond sizingHydrograph routing(Inflow vs outflow)
  6. Stream water quality issueTMDL analysis(Load allocation study)

Hydrology

Rational method
Q = CiA formula
Runoff coefficient C
Fraction of rainfall runoff
Time of concentration Tc
Longest flow path time
SCS/NRCS method
Curve number runoff model
Design storm
Return period rainfall event

Manning's vs Hazen-Williams

Manning's equation

  • Open-channel gravity flow
  • Uses roughness coefficient n

Hazen-Williams

  • Pressurized closed-pipe flow
  • Uses C coefficient value

Open channel vs pressure pipe

Hydraulics: Open and Closed Conduit

Manning's equation
Open-channel velocity flow formula
Hazen-Williams
Pressure pipe flow formula
Darcy-Weisbach
Head loss friction formula
Bernoulli equation
Energy conservation in flow
Froude number
Sub vs supercritical flow indicator

Water & Wastewater Treatment

Coagulation/flocculation
Particle clumping treatment step
Sedimentation
Gravity settling treatment step
Disinfection
Pathogen inactivation treatment step
BOD
Biochemical oxygen demand

Common Traps

Bank Volume vs Loose Volume

Bank means in-place soil Loose means after excavation swell

ASD vs LRFD Load Factors

ASD uses service-level loads LRFD uses factored loads

Total Stress vs Effective Stress

Total includes water weight Effective subtracts pore pressure

Total Float vs Free Float

Total delays whole project Free delays only next activity

Rational Method vs SCS Method

Rational suits small watersheds SCS suits larger watersheds

Wood Design vs Steel or Concrete

Wood must use ASD only Steel and concrete allow either

Swell Factor vs Shrinkage Factor

Swell is loose over bank Shrinkage is compacted over bank

Last Minute

  1. 1.80 questions, 9-hour appointment
  2. 2.No separate breadth section now
  3. 3.Choose one discipline exam only
  4. 4.Wood design always uses ASD
  5. 5.Steel and concrete allow either
  6. 6.Rational method: small watershed peak flow
  7. 7.SCS method: larger watershed hydrograph
  8. 8.Manning's for open channel flow
  9. 9.Hazen-Williams for pressure pipe flow
  10. 10.Effective stress equals total minus pore
  11. 11.Know handbook table locations cold
  12. 12.Practice using only electronic reference
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