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Cheat sheet

FE Mechanical Cheat Sheet

Foundations

16-25%of exam

HandbookMath + StatsEconomicsEthics

Mechanics

25-39%of exam

StaticsDynamicsStrengthFBD Picker

Materials + Design

15-24%of exam

MaterialsFailureBearingsDesign

Thermal + Fluids

25-37%of exam

Electrical + Controls

9-15%of exam

CircuitsSensorsControlsUncertainty

Quick Facts

Exam
FE Mechanical
Owner
NCEES
Format
CBT
Questions
110
Exam time
5 hr 20 min
Appointment
6 hours
Break
25 min
Fee
$225
Reference
Electronic handbook
Units
SI + USCS
Score
Pass/fail scaled

Exam Workflow

  1. Unknown formulaSearch handbook(Use keywords)
  2. Unit mismatchConvert first(Avoid traps)
  3. Property stateTable lookup(Saturated superheated)
  4. Beam deflectionBeam tables(Match supports)
  5. Circuit phasorsComplex mode(AC work)
  6. Ethics conflictPublic welfare(First duty)
  7. Cash flowsTimeline(Set time zero)
  8. No clear modelFlag early(Return later)

Exam + Handbook

Appointment
6 hours total
Exam clock
320 minutes
Pace
2.9 min each
NDA
2 minutes
Tutorial
8 minutes
Break
25 minutes
Handbook
Searchable electronic PDF
Calculator
NCEES approved only

Math + Stats

Derivative
Slope rate
Integral
Area accumulation
ODE
Equation with derivatives
Matrix
Linear system tool
Newton method
Iterative root
Mean
Average
Std dev
Spread measure
Regression
Best-fit relationship

Economics + Ethics

PW
Present worth
FW
Future worth
AW
Annual worth
IRR
Zero-NPW rate
B/C
Benefits over costs
Sunk cost
Ignore in decisions
Public welfare
First duty
Conflict
Disclose promptly

FBD First

Draw FBD before equations

ForcesMomentsSupports

Stress vs Strain

Stress

  • Load intensity
  • Force over area
  • Units pressure

Strain

  • Deformation ratio
  • Dimensionless
  • Length change

Load vs deformation

Model Picker

  1. Body at restStatics(Equilibrium)
  2. Acceleration presentDynamics(F = ma)
  3. Beam stressMechanics materials(M c / I)
  4. Pipe pumpEnergy equation(Head terms)
  5. Sealed pistonClosed system(No mass flow)
  6. Turbine compressorSteady flow(Enthalpy change)
  7. Wall heatThermal resistance(Delta T path)
  8. Shaft bearingMachine design(Failure mode)

Statics

FBD
Draw forces first
Equilibrium
Sum forces zero
Moment
Force times arm
Couple
Pure moment
Centroid
Area balance point
Inertia
Area shape property
Truss
Two-force members
Friction
mu times normal

Dynamics

Kinematics
Motion geometry
Kinetics
Forces cause motion
Second law
F = ma
Work-energy
Energy change
Impulse
Momentum change
Rigid body
Translate rotate
Vibration
Oscillatory motion
Damping
Energy dissipation

Mechanics Materials

Normal stress
F over A
Shear stress
V over A
Strain
Deformation over length
Bending stress
M c / I
Torsion
T r / J
Mohr circle
Stress transformation
Deflection
Elastic displacement
Buckling
Compression instability

Static vs Fatigue

Static

  • Single load
  • Yield check
  • Ultimate check

Fatigue

  • Cyclic load
  • Endurance matters
  • Stress range

Once vs repeated

Materials

Yield
Plastic begins
Ultimate
Peak stress
Ductility
Plastic strain capacity
Hardness
Indentation resistance
Toughness
Fracture energy
Creep
Time deformation
Fatigue
Cyclic failure
Corrosion
Material degradation

Design + Controls

Bearing life
L10 reliability
Gear ratio
Speed torque trade
Spring rate
Force per deflection
Fastener preload
Initial bolt tension
Weld
Joined load path
Safety factor
Strength over stress
GD&T
Drawing tolerance language
Failure theory
Yield criterion

Bernoulli Heads

Pressure, velocity, elevation, losses

PressureVelocityElevationLosses

Gauge vs Absolute

Gauge

  • Relative pressure
  • Zero at atmosphere
  • Common instrument

Absolute

  • True pressure
  • Needed for gases
  • Includes atmosphere

Reference matters

Fluids

Density
Mass per volume
Viscosity
Flow resistance
Reynolds
Inertia over viscosity
Laminar
Orderly flow
Turbulent
Mixed flow
Bernoulli
Streamline energy
Head loss
Friction loss
NPSH
Cavitation margin

Heat Modes

Heat moves: conduct, convect, radiate

ConductionConvectionRadiation

Laminar vs Turbulent

Laminar

  • Orderly layers
  • Lower Reynolds
  • Predictable profile

Turbulent

  • Mixed motion
  • Higher Reynolds
  • More losses

Order vs mixing

Thermodynamics

System
Chosen mass
Control volume
Mass crosses boundary
First law
Energy conserved
Second law
Entropy increases
Enthalpy
Flow energy property
Quality
Vapor mass fraction
Rankine
Steam power cycle
COP
Useful cooling/work

Closed vs Control Volume

Closed system

  • Fixed mass
  • No mass flow
  • Boundary may move

Control volume

  • Mass crosses
  • Flow devices
  • Use enthalpy

Mass fixed vs flowing

Heat Transfer

Conduction
Through solids
Convection
Fluid surface transfer
Radiation
Thermal emission
Thermal resistance
Delta T over q
Fin
Extended surface
LMTD
Heat exchanger average
Effectiveness
Actual over maximum
Biot
Internal resistance ratio

Conduction vs Convection

Conduction

  • Through material
  • k controls
  • Area thickness

Convection

  • Surface to fluid
  • h controls
  • Boundary layer

Solid path vs fluid

Electrical + Controls

Ohm law
V = I R
KCL
Currents sum zero
KVL
Voltages sum zero
Power
Voltage times current
Impedance
AC opposition
Sensor
Measures physical variable
Feedback
Output informs input
Uncertainty
Measurement doubt

Common Traps

Gauge Needs Conversion

Gas law uses Absolute pressure

Mass Is Not Weight

lbm differs lbf force

Radius Not Diameter

Area uses radius Inertia sensitive

Kelvin For Radiation

Absolute temperature Celsius wrong

Efficiency Direction Matters

Input vs output Check wording

Tables Need Region

Saturated mixture Superheated vapor

Last Minute

  1. 1.Use NCEES question ranges
  2. 2.Practice handbook search terms
  3. 3.Draw FBD before math
  4. 4.Convert units before solving
  5. 5.Use absolute gas pressure
  6. 6.Check system boundary first
  7. 7.Flag unclear models early
  8. 8.Answer every question
  9. 9.Public welfare comes first
  10. 10.Check magnitude and units
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