Fundamentals of
Engineering (FE) MECHANICAL
Engineering
I. Mathematics 15%
A. Analytic
geometry
B. Integral
calculus
C. Matrix
operations
D. Roots of
equations
E. Vector analysis
F. Differential
equations
G. Differential
calculus
II. Engineering
Probability and Statistics 7%
A. Measures of
central tendencies and dispersions (e.g., mean, mode, standard deviation)
B. Probability
distributions (e.g., discrete, continuous, normal, binomial)
C. Conditional
probabilities
D. Estimation
(e.g., point, confidence intervals) for a single mean
E. Regression and
curve fitting
F. Expected value
(weighted average) in decision-making
G. Hypothesis
testing
III. Chemistry 9%
A. Nomenclature
B. Oxidation and
reduction
C. Periodic table
D. States of matter
E. Acids and bases
F. Equations (e.g.,
stoichiometry)
G. Equilibrium
H. Metals and
nonmetals
IV. Computers 7%
A. Terminology
(e.g., memory types, CPU, baud rates, Internet)
B. Spreadsheets
(e.g., addresses, interpretation, “what if,” copying formulas)
C. Structured
programming (e.g., assignment statements, loops and branches, function calls)
V. Ethics and Business
Practices 7%
A. Code of ethics
(professional and technical societies)
B. Agreements and
contracts
C. Ethical versus
legal
D. Professional
liability
E. Public
protection issues (e.g., licensing boards)
VI. Engineering Economics
8%
A. Discounted cash
flow (e.g., equivalence, PW, equivalent annual FW, rate of return)
B. Cost (e.g.,
incremental, average, sunk, estimating)
C. Analyses (e.g.,
breakeven, benefit-cost)
D. Uncertainty
(e.g., expected value and risk)
VII. Engineering Mechanics
(Statics and Dynamics) 10%
A. Statics
1. Resultants of
force systems
2. Concurrent force
systems
3. Equilibrium of
rigid bodies
4. Frames and
trusses
5. Centroid of area
6. Area moments of
inertia
7. Friction
B. Dynamics
1. Linear motion
(e.g., force, mass, acceleration, momentum)
2. Angular motion
(e.g., torque, inertia, acceleration, momentum)
3. Mass moments of
inertia
4. Impulse and
momentum applied to: a. particles
b. rigid bodies
5. Work, energy,
and power as applied to:
a. particles
b. rigid bodies
6. Friction
VIII. Strength of
Materials 7%
A. Shear and moment
diagrams
B. Stress types
(e.g., normal, shear, bending, torsion)
C. Stress strain
caused by:
1. axial loads
2. bending loads
3. torsion
4. shear
D. Deformations
(e.g., axial, bending, torsion)
E. Combined
stresses
F. Columns
G. Indeterminant
analysis
H. Plastic versus
elastic deformation 3
IX. Material Properties 7%
A. Properties
1. chemical
2. electrical
3. mechanical
4. physical B.
Corrosion mechanisms and control
C. Materials
1. engineered
materials
2. ferrous metals
3. nonferrous
metals
X. Fluid Mechanics 7%
A. Flow measurement
B. Fluid properties
C. Fluid statics
D. Energy, impulse,
and momentum equations
E. Pipe and other
internal flow
XI. Electricity and
Magnetism 9%
A. Charge, energy,
current, voltage, power
B. Work done in
moving a charge in an electric field (relationship between voltage and work)
C. Force between
charges
D. Current and
voltage laws (Kirchhoff, Ohm)
E. Equivalent
circuits (series, parallel)
F. Capacitance and
inductance
G. Reactance and
impedance, susceptance and admittance
H. AC circuits
I. Basic complex
algebra
XII. Thermodynamics 7%
A. Thermodynamic
laws (e.g., 1st Law, 2nd Law)
B. Energy, heat,
and work
C. Availability and
reversibility
D. Cycles
E. Ideal gases
F. Mixture of gases
G. Phase changes
H. Heat transfer
I. Properties of:
1. enthalpy
2. entropy
I. Mechanical Design and
Analysis 15%
A. Stress analysis
(e.g., combined stresses, torsion, normal, shear)
B. Failure theories
(e.g., static, dynamic, buckling)
C. Failure analysis
(e.g., creep, fatigue, fracture, buckling)
D. Deformation and
stiffness
E. Components
(e.g., springs, pressure vessels, beams, piping, bearings, columns, power
screws)
F. Power
transmission (e.g., belts, chains, clutches, gears, shafts, brakes, axles)
G. Joining (e.g.,
threaded fasteners, rivets, welds, adhesives)
H.
Manufacturability (e.g., fits, tolerances, process capability)
I. Quality and
reliability
J. Mechanical
systems (e.g., hydraulic, pneumatic, electro-hybrid)
II. Kinematics, Dynamics,
and Vibrations 15%
A. Kinematics of
mechanisms
B. Dynamics of
mechanisms
C. Rigid body
dynamics
D. Natural frequency
and resonance
E. Balancing of
rotating and reciprocating equipment
F. Forced
vibrations (e.g., isolation, force transmission, support motion)
III. Materials and
Processing 10%
A. Mechanical and
thermal properties (e.g., stress/strain relationships, ductility, endurance,
conductivity, thermal expansion)
B. Manufacturing
processes (e.g., forming, machining, bending, casting, joining, heat treating)
C. Thermal
processing (e.g., phase transformations, equilibria)
D. Materials
selection (e.g., metals, composites, ceramics, plastics, bio-materials)
E. Surface
conditions (e.g., corrosion, degradation, coatings, finishes)
F. Testing (e.g.,
tensile, compression, hardness)
IV. Measurements,
Instrumentation, and Controls 10%
A. Mathematical
fundamentals (e.g., Laplace transforms, differential equations)
B. System
descriptions (e.g., block diagrams, ladder logic, transfer functions)
C. Sensors and
signal conditioning (e.g., strain, pressure, flow, force, velocity, displacement,
temperature)
D. Data collection
and processing (e.g., sampling theory, uncertainty, digital/analog, data
transmission rates)
E. Dynamic
responses (e.g., overshoot/time constant, poles and zeros, stability)
V. Thermodynamics and
Energy Conversion Processes 15%
A. Ideal and real
gases
B.
Reversibility/irreversibility
C. Thermodynamic
equilibrium
D. Psychrometrics
E. Performance of
components
F. Cycles and
processes (e.g., Otto, Diesel, Brayton, Rankine)
G. Combustion and
combustion products
H. Energy storage
I. Cogeneration and
regeneration/reheat
VI. Fluid Mechanics and
Fluid Machinery 15%
A. Fluid statics
B. Incompressible
flow
C. Fluid transport
systems (e.g., pipes, ducts, series/parallel operations)
D. Fluid machines:
incompressible (e.g., turbines, pumps, hydraulic motors)
E. Compressible
flow
F. Fluid machines:
compressible (e.g., turbines, compressors, fans)
G. Operating
characteristics (e.g., fan laws, performance curves, efficiencies, work/power
equations)
H. Lift/drag
I. Impulse/momentum
VII. Heat Transfer 10%
A. Conduction
B. Convection
C. Radiation
D. Composite walls
and insulation
E. Transient and
periodic processes
F. Heat exchangers
G. Boiling and
condensation heat transfer
VIII. Refrigeration and
HVAC 10%
A. Cycles
B. Heating and
cooling loads (e.g., degree day data, sensible heat, latent heat)
C. Psychrometric
charts
D. Coefficient of
performance
E. Components
(e.g., compressors, condensers, evaporators, expansion valve)
