Cheat sheet

FE Exam Cheat Sheet

Practice this exam

Quant + Professional

  • 36-55% of exam
  • Exam Day Handbook Math + Stats Economics Ethics + Safety

Mechanics + Materials

  • 30-46% of exam
  • Statics Dynamics Strength Materials FBD Picker

Fluids + Thermal + Electrical

  • 25-37% of exam
  • Fluids Thermal Electrical Flow Picker Cycle Picker

Quick Facts

  • Exam FE
  • Owner NCEES
  • Format CBT
  • Questions 110
  • Exam time 5 hr 20 min
  • Appointment 5 hr 55 min
  • Break 25 min
  • Fee $225
  • Reference Onscreen handbook
  • Units SI + USCS

Exam Clock QU

  • Two halves, one clock, break after submit.
  • NDA Tutorial Exam Break

Scheduled vs Unscheduled Break QU

Scheduled

  • After first half
  • Clock paused

Unscheduled

  • Any time
  • Clock runs
  • Break type changes clock

Pacing Picker QU

  • Instant path → Solve now ( Bank time )
  • Formula known → Search handbook ( One lookup )
  • Units messy → Convert first ( Avoid traps )
  • Concept unclear → Flag ( Return later )
  • After half → Review before submit ( Locks section )
  • Clock tight → Educated guess ( No blanks )

Exam Day QU

  • ID Physical photo ID
  • Arrival 30 min early
  • NDA 2 min accept
  • Tutorial 8 min orientation
  • First half Submit then locked
  • Break After half submitted
  • Scratch Reusable booklet
  • Calculator Approved model only

Cash Flow QU

  • Draw cash flow before factor tables.
  • PW AW FW IRR

Search vs Memory QU

Search

  • Formula location
  • Table values

Memory

  • Method choice
  • Sign convention
  • Handbook gives formulas

Handbook QU

  • Reference Searchable onscreen PDF
  • Screen Question + handbook
  • Search Left search box
  • Ctrl+F Not available
  • Zoom Usually 100%
  • Constants Front sections
  • Formulas Know section names
  • Examples Not provided

PW vs AW QU

PW

  • Single present value
  • Compare now

AW

  • Uniform annual value
  • Compare yearly
  • Match cash-flow basis

Math + Stats QU

  • Derivative Rate/slope
  • Integral Area/accumulation
  • ODE Function plus derivatives
  • Matrix det Area/volume scale
  • Eigenvalue Special scale factor
  • Mean Center
  • Std dev Spread
  • Expected value Weighted average

Economics QU

  • PW Today value
  • FW Future value
  • AW Annual equivalent
  • IRR Rate giving zero
  • B/C Benefits over costs
  • Sunk cost Ignore in choice
  • Breakeven Cost equals revenue
  • Depreciation Cost allocation

Ethics + Safety QU

  • Public First duty
  • Competence Practice within expertise
  • Conflict Disclose early
  • Confidentiality Protect client info
  • SDS Hazard details
  • PEL Legal exposure limit
  • TWA Time-weighted exposure
  • PPE Last defense

Mechanics Order ME

  • FBD, equations, units, answer.
  • FBD Equilibrium Solve Check

Statics vs Dynamics ME

Statics

  • Acceleration zero
  • Equilibrium equations

Dynamics

  • Acceleration nonzero
  • Newton/energy/momentum
  • Acceleration decides model

FBD Picker ME

  • Body at rest → Statics ( Equilibrium )
  • Acceleration present → Dynamics ( F = ma )
  • Force at distance → Moment ( Use arm )
  • Member stretched → Axial stress ( F/A )
  • Shaft twisted → Torsion ( T r/J )
  • Beam loaded → Shear/moment ( Diagram first )

Statics + Dynamics ME

  • FBD Draw first
  • Equilibrium Sum forces zero
  • Moment Force times arm
  • Centroid Area balance point
  • Friction Mu times normal
  • Kinematics Motion geometry
  • Kinetics Forces cause motion
  • Impulse Momentum change

Stress vs Strain ME

Stress

  • Load intensity
  • Force per area

Strain

  • Deformation ratio
  • Length per length
  • Stress causes strain

Strength + Materials ME

  • Normal stress Axial force/area
  • Shear stress Shear force/area
  • Strain Deformation/length
  • Hooke Stress equals E strain
  • Torsion Torque causes shear
  • Bending Moment causes stress
  • Mohr Stress transformation
  • Buckling Compression instability

Materials ME

  • Yield Permanent deformation starts
  • Ultimate Peak stress
  • Toughness Energy to fracture
  • Hardness Indentation resistance
  • Ductility Plastic stretch
  • Creep Time deformation
  • Fatigue Cyclic failure
  • Phase diagram Phase versus condition

Fluid Energy SY

  • Pressure, velocity, elevation trade head.
  • Pressure Velocity Elevation Losses

Laminar vs Turbulent SY

Laminar

  • Low Reynolds
  • Viscous dominated

Turbulent

  • High Reynolds
  • Inertia dominated
  • Use Reynolds number

Flow Picker SY

  • Closed conduit → Pipe flow ( Head loss )
  • Free surface → Open channel ( Manning )
  • Pressure height → Hydrostatics ( rho g h )
  • Velocity change → Bernoulli ( Energy )
  • Need regime → Reynolds ( Laminar/turbulent )
  • Machine adds energy → Pump ( Add head )

Fluids SY

  • Density Mass/volume
  • Viscosity Flow resistance
  • Reynolds Inertia/viscous
  • Bernoulli Energy along streamline
  • Head loss Friction energy loss
  • Manometer Pressure from height
  • Pump Adds head
  • Turbine Extracts head

Electrical Laws SY

  • KCL counts current, KVL counts voltage.
  • Node Loop Current Voltage

Heat vs Work SY

Heat

  • Temperature transfer
  • Path function

Work

  • Force displacement
  • Path function
  • Both cross boundary

Thermal Picker SY

  • Wall conduction → Fourier ( kA dT/L )
  • Surface-fluid → Convection ( hA dT )
  • Hot surface → Radiation ( T fourth )
  • Power cycle → Efficiency ( W out/Q in )
  • Refrigerator → COP ( Q cold/W )
  • Two-phase state → Quality ( x fraction )

Thermal SY

  • Enthalpy Flow energy property
  • Entropy Irreversibility marker
  • Quality Vapor mass fraction
  • Conduction Solid heat flow
  • Convection Fluid heat transfer
  • Radiation Thermal emission
  • COP Cooling per work
  • Efficiency Work over heat

KCL vs KVL SY

KCL

  • Node currents
  • Charge conservation

KVL

  • Loop voltages
  • Energy conservation
  • Node versus loop

Electrical SY

  • Ohm Voltage equals IR
  • KCL Currents sum zero
  • KVL Voltages sum zero
  • Power Voltage times current
  • Impedance AC opposition
  • Reactance Frequency opposition
  • Power factor Real/apparent power
  • Three-phase Balanced power system

Common Traps

Appointment vs Exam Time

  • 5 hr 55 min appointment ≠ 5 hr 20 min exam

First Half Locked

  • Review before submit ≠ No return after break

Digital ID Rejected

  • Physical ID required ≠ Student ID rejected

Ctrl+F Trap

  • Use handbook search box ≠ Ctrl+F unavailable

Unit System Trap

  • SI and USCS appear ≠ Convert before formula

Calculator Cover

  • Calculator allowed ≠ Cover stored outside

Ethics Priority

  • Public safety first ≠ Employer loyalty second

No Partial Credit

  • All-or-nothing scoring ≠ Pretest items hidden

Last Minute

  • 1. Physical ID name matches
  • 2. Approved calculator, no cover
  • 3. Arrive 30 min early
  • 4. Accept NDA within 2 min
  • 5. Use handbook search box
  • 6. Submit half only after review
  • 7. Scheduled break after submit
  • 8. Unscheduled breaks burn time
  • 9. Convert SI/USCS before solving
  • 10. Draw FBD before equations
  • 11. Public safety outranks employer
  • 12. Never leave blanks

FE Fundamentals of Engineering

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