Cheat sheet

PE Transportation Cheat Sheet

Project Management

7-12%of exam

CPM & FloatCost EstimatingEarthwork VolumeBuy vs Rent

Traffic Engineering

12-19%of exam

LOS & CapacityPHF & v/cTrip GenerationSafety & CMFsHCM 6th Edition

Roadside & Cross-Section

8-14%of exam

Clear Zone WidthsSlope CategoriesBarriers & Crash CushionsADA Cross Slope

Horizontal Design

10-15%of exam

Degree of CurveSuperelevation e+fMiddle OrdinateCurve Widening

Vertical Design

10-15%of exam

SSD FormulaCrest Curve LengthSag Curve LengthK-Value

Intersection Geometry

8-14%of exam

ISD FormulaRoundabout ElementsInterchange TypesTurn Lane Warrants

Traffic Signals

6-10%of exam

Yellow IntervalAll-Red ClearanceSignal WarrantsPedestrian Timing

Traffic Control Design

6-10%of exam

MUTCD Sign ClassesTaper LengthTTC Zone LayoutDevice Spacing

Geotechnical & Pavement

7-12%of exam

CBR & Resilient ModulusStructural Number SNFlexible vs RigidCompaction & Earthwork

Drainage

10-15%of exam

Rational MethodManning's EquationCulvert ControlDetention & BMPs

Quick Facts

Exam
PE Civil Transportation depth
Body
NCEES
Format
80-question single CBT
Time
9-hour appointment, 8-hour work
Scoring
Scaled cut score, no fixed %
Fee
$400 NCEES exam fee
Pass rate
55% first-time, 42% repeat
Retake wait
90 days to next window
References
NCEES Handbook plus 9 standards
Provider
Pearson VUE, year-round testing

Scheduling & Cost Basics

CPM
Longest path sets duration
Total float
Delay without delaying project
Free float
Slack before next activity
Crash cost
Cost to shorten one day
Break-even buy vs rent
Purchase minus salvage over rent
Average end area method
Volume = L times avg area
Present worth
Converts future cost to today
Bid quantity
Engineer's estimated pay quantity

PHF Formula Anchor

Divide hour volume by four times peak 15

V over 4×V15Range 0.25 to 1.0Closer to 1 = flatter demand

Capacity & Flow Basics

PHF formula
V / (4×V15)
v/c ratio
Demand over capacity
LOS grades
A best to F worst
Capacity
Max sustainable flow rate
DHV / AADT
Design hour vs annual avg
Trip generation
ITE rates by land use
Modal split
Share of trips by mode

Safety & Analysis Terms

Crash rate (MEV)
Crashes per million entering vehicles
CMF
Less than 1 = fewer crashes
HSM
AASHTO Highway Safety Manual
Conflict point
Location paths cross or merge
Collision diagram
Plots crash type and location
HCM 6th edition
2016 TRB capacity reference

Exam Reference Standards

AASHTO GDHS-7
7th ed 2018 Green Book
AASHTO RSDG-4
4th ed 2011 roadside guide
AASHTO HSM-1
1st ed 2010 safety manual
HCM 6th edition
2016 TRB, four volumes
MUTCD 2009
With Revisions 1 and 2
AASHTO MEPDG-3
3rd ed 2022 pavement guide
AASHTO GDPS-4-M
4th ed 1993 pavement design
AASHTO GPF-2
2nd ed 2021 pedestrian guide
FHWA HDS-5
3rd ed 2012 culvert design

Slope Category Order

Recoverable flattest, then non-recoverable, then critical steepest

1V:4H recoverable1V:3H to 4H non-recoverableSteeper than 1V:3H critical

Recoverable vs Critical Slope

Recoverable (1V:4H+)

  • Most drivers regain control
  • Flattest, safest slope category

Critical (steeper than 1V:3H)

  • Vehicle rollover risk high
  • Needs barrier or flattening

Steeper slope = higher rollover risk

Roadside & Barrier Terms

Clear zone
Recoverable roadside border area
Recoverable slope
1V:4H or flatter
Non-recoverable slope
Steeper than 1V:4H, traversable
Critical slope
Steeper than 1V:3H, rollover risk
Crash cushion
Absorbs impact before fixed object
Longitudinal barrier warrant
Off-road hazard worse than hit
ADA cross slope
Max 2% (1:48) sidewalk
Shared-use path
Combined bike and pedestrian path

Which Horizontal Curve Formula

  1. Need curve sharpness valueD=5729.58/R degree of curve
  2. Need superelevation ratee+f=V²/15R gives e
  3. Need min radius for design speedRmin=V²/(15(emax+fmax))
  4. Sight-blocking object on insidem=R(1-cos(28.65S/R))
  5. Need distance to arc midpointM=R(1-cos(Δ/2))
  6. Sharp curve, wide design vehicleAdd pavement widening on curve

Horizontal Curve Formulas

Degree of curve
D=5729.58/R
Middle ordinate
M=R(1-cos(Δ/2))
Superelevation formula
e+f=V²/15R
Min radius formula
Rmin=V²/(15(emax+fmax))
Horizontal sight offset
m=R(1-cos(28.65S/R))
Curve widening
More width, smaller sharper radius
Compound curve
Two curves, same direction, differing radii
Reverse curve
Two curves, opposite directions, no tangent

Vertical Curve Length Constants

Crest divides by 2158, sag by 400 plus 3.5S

Crest: L=AS²/2158Sag: L=AS²/(400+3.5S)K=L/A both curves

Crest vs Sag Curve Length

Crest curve

  • Governed by stopping sight distance
  • Constant 2158 in formula

Sag curve

  • Governed by headlight sight distance
  • Constant 400+3.5S in formula

Crest uses SSD; sag uses headlight

Pick The Right Sight Distance

  1. Stopping on level tangentSSD=1.47Vt+V²/30a
  2. Downgrade or upgrade presentAdd ±G inside SSD term
  3. Cresting hill, blocked viewL=AS²/2158 crest formula
  4. Dipping sag at nightL=AS²/(400+3.5S) headlight rule
  5. Passing on two-lane roadUse PSD, much longer than SSD
  6. Entering from stop-controlled approachUse ISD=1.47×Vmajor×tg

Vertical Curve Formulas

SSD formula
SSD=1.47Vt+V²/(30(a/32.2±G))
Crest curve length
L=AS²/2158
Sag curve length
L=AS²/(400+3.5S)
K-value
Horizontal distance per 1% grade
K-value formula
K=L/A
PSD
Longer than SSD, opposing traffic
Vertical clearance
Min overhead height per AASHTO

Signalized vs Roundabout Intersection

Signalized intersection

  • Separates movements by time
  • Needs warrant analysis first

Roundabout

  • Yield-on-entry, continuous flow
  • Lower severity crash pattern

Roundabout deflects speed; signal separates time

Intersection & Interchange Terms

ISD formula
ISD=1.47×Vmajor×tg
Roundabout ICD
Inscribed circle diameter, controls speed
Diamond interchange
Most common freeway-arterial connection
Channelization
Islands/markings separate conflicting movements
Turn lane warrant
Volume-based charts by movement
Cloverleaf interchange
Loop ramps, no signals needed

Signal Timing Formula Picker

  1. Need change interval timeY=t+V/(2(a+32.2G))
  2. Need all-red clearance timeAR=(w+L)/V
  3. Setting pedestrian clearance intervalUse 3.5 ft/s walking speed
  4. Deciding whether to install signalCheck MUTCD numbered warrants
  5. Coordinating adjacent signalsMatch cycle length, offset timing

Signal Timing Terms

Yellow interval
Y=t+V/(2(a+32.2G))
All-red clearance
AR=(w+L)/V
Signal warrant
MUTCD numbered volume/ped warrants
Ped clearance speed
3.5 ft/s default MUTCD value
Signal phasing
Order of protected/permitted movements
Railroad preemption
Signal yields to train priority
Cycle length
Total time for all phases

MUTCD Sign Class Memory

Regulatory rules, warning warns, guide directs travelers

Regulatory = state lawWarning = advance noticeGuide = wayfinding info

MUTCD Taper Formula Threshold

Speed 40mph or less

  • L=WS²/60 taper length
  • Longer taper for slow roads

Speed 45mph or more

  • L=WS taper length
  • Shorter, linear taper formula

40mph or under uses squared formula

MUTCD & Work Zone Terms

MUTCD edition
2009 with Revisions 1 and 2
Sign classes
Regulatory, Warning, Guide series
Taper, speed ≤40mph
L=WS²/60
Taper, speed ≥45mph
L=WS
TTC zone areas
Advance, transition, activity, termination
Buffer space
Separates activity from traffic
Device spacing
Set by posted speed table

Flexible vs Rigid Pavement

Flexible (asphalt)

  • Layered stress cone shape
  • Relies more on subgrade

Rigid (concrete)

  • Slab bending spreads load
  • Relies less on subgrade

Flexible bends; rigid distributes via slab

Subgrade & Pavement Terms

CBR
Penetration strength index vs crushed stone
Resilient modulus (Mr)
Subgrade stiffness under repeated load
Structural number (SN)
SN=a1D1+a2D2m2+a3D3m3
Flexible vs rigid
Cone stress vs slab bending
Compaction
Density increased by mechanical effort
Mass balance
Balances cut and fill volumes
R-value
Resistance value, stabilometer test

Culvert Inlet vs Outlet Control

Inlet control

  • Headwater and opening govern
  • Barrel flows partly full

Outlet control

  • Tailwater and friction govern
  • Barrel flows full length

Smaller opening or full barrel governs

Which Drainage Method Applies

  1. Small drainage area, quick estimateRational Method, Q=CiA
  2. Open channel or pipe flowManning's Equation for velocity
  3. Culvert headwater governs capacityInlet control, check HW/D
  4. Culvert barrel or tailwater governsOutlet control, check tailwater
  5. Development increases peak runoffAdd detention basin, control rate

Hydrology & Hydraulics Terms

Rational Method
Q=CiA, small drainage areas
Time of concentration (tc)
Travel time to outlet point
Manning's Equation
Velocity from roughness, radius, slope
Culvert inlet control
Inlet opening limits capacity
Culvert outlet control
Barrel plus tailwater limits capacity
Detention basin
Stores runoff, releases at reduced rate
BMPs
Structural and non-structural water quality
Peak flow
Max rate during storm event

Common Traps

Grade sign in SSD

Uphill G is positive Downhill G is negative

Degree of curve definition

NCEES uses arc definition D=5729.58/R, not chord

Taper formula speed split

≤40mph uses L=WS²/60 ≥45mph uses L=WS only

CMF direction confusion

CMF below 1.0 = fewer crashes CMF above 1.0 = more crashes

v/c near 1.0 meaning

Approaching 1.0 = LOS F Signals congestion, not good flow

Slope category thresholds

1V:4H+ is recoverable Steeper than 1V:3H is critical

Exam standards edition lock

MUTCD 2009 with R1&2 only Not FHWA's newer 2026 edition

Last Minute

  1. 1.Bring photo ID matching NCEES record
  2. 2.Confirm 9-hour appointment includes 50-min break
  3. 3.80 questions, all scored, work all
  4. 4.No fixed pass percentage, scaled score
  5. 5.Standards packet has 9 listed documents
  6. 6.MUTCD version is 2009 with R1&2
  7. 7.HCM version is 6th edition 2016
  8. 8.AASHTO Green Book is GDHS-7, 2018
  9. 9.Exam mixes SI and USCS units
  10. 10.Recheck grade sign before finalizing SSD
  11. 11.Match taper formula to posted speed
  12. 12.Retake wait is about 90 days
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