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FE Mechanical: Practice Questions, Units, and Exam Format

Mathematics, statics, dynamics, mechanics of materials, fluids, thermodynamics, heat transfer, and mechanical design. See exactly what is on the exam, unit by unit, and practise it with a tutor that adapts to you.

Exam format

Structure of the FE Mechanical exam, from the official course and exam description.
SectionQuestionsTimeShare of score
FE Mechanical1105 hr 20 min100%

Units and exam weights

The 14 units of FE Mechanical, with the exam weight published for each.
UnitExam weightTopics covered
Mathematics5.45 to 8.18%1.A Analytic geometry, 1.B Calculus (e.g., differential, integral, single-variable, multivariable), 1.C Ordinary differential equations (e.g., homogeneous, nonhomogeneous, Laplace transforms), 1.D Linear algebra (e.g., matrix operations, vector analysis), 1.E Numerical methods (e.g., approximations, precision limits, error propagation, Taylor's series, Newton's method), 1.F Algorithm and logic development (e.g., flowcharts, pseudocode)
Probability and Statistics3.64 to 5.45%2.A Probability distributions (e.g., normal, binomial, empirical, discrete, continuous), 2.B Measures of central tendencies and dispersions (e.g., mean, mode, standard deviation, confidence intervals), 2.C Expected value (weighted average) in decision making, 2.D Regression (linear, multiple), curve fitting, and goodness of fit (e.g., correlation coefficient, least squares)
Ethics and Professional Practice3.64 to 5.45%3.A Codes of ethics (e.g., NCEES Model Law, professional and technical societies, ethical and legal considerations), 3.B Public health, safety, and welfare, 3.C Intellectual property (e.g., copyright, trade secrets, patents, trademarks), 3.D Societal considerations (e.g., economic, sustainability, life-cycle analysis, environmental)
Engineering Economics3.64 to 5.45%4.A Time value of money (e.g., equivalence, present worth, equivalent annual worth, future worth, rate of return, annuities), 4.B Cost types and breakdowns (e.g., fixed, variable, incremental, average, sunk), 4.C Economic analyses (e.g., cost-benefit, break-even, minimum cost, overhead, life cycle)
Electricity and Magnetism4.55 to 7.27%5.A Electrical fundamentals (e.g., charge, current, voltage, resistance, power, energy, magnetic flux), 5.B DC circuit analysis (e.g., Kirchhoff's laws, Ohm's law, series, parallel), 5.C AC circuit analysis (e.g., resistors, capacitors, inductors), 5.D Motors and generators
Statics8.18 to 12.73%6.A Resultants of force systems, 6.B Concurrent force systems, 6.C Equilibrium of rigid bodies, 6.D Frames and trusses, 6.E Centroids and moments of inertia, 6.F Static friction
Dynamics, Kinematics, and Vibrations9.09 to 13.64%7.A Kinematics of particles, 7.B Kinetic friction, 7.C Newton’s second law for particles, 7.D Work-energy of particles, 7.E Impulse-momentum of particles, 7.F Kinematics of rigid bodies
Mechanics of Materials8.18 to 12.73%8.A Shear and moment diagrams, 8.B Stress transformations and Mohr's circle, 8.C Stress and strain caused by axial loads, 8.D Stress and strain caused by bending loads, 8.E Stress and strain caused by torsional loads, 8.F Stress and strain caused by shear
Material Properties and Processing6.36 to 10%9.A Properties (e.g., chemical, electrical, mechanical, physical, thermal), 9.B Stress-strain diagrams, 9.C Ferrous metals, 9.D Nonferrous metals, 9.E Engineered materials (e.g., composites, polymers), 9.F Manufacturing processes
Fluid Mechanics9.09 to 13.64%10.A Fluid properties, 10.B Fluid statics, 10.C Energy, impulse, and momentum, 10.D Internal flow, 10.E External flow, 10.F Compressible flow (e.g., Mach number, isentropic flow relationships, normal shock)
Thermodynamics9.09 to 13.64%11.A Properties of ideal gases and pure substances B Energy transfers, 11.C Laws of thermodynamics, 11.D Processes, 11.E Performance of components, 11.F Power cycles, 11.G Refrigeration and heat pump cycles
Heat Transfer6.36 to 10%12.A Conduction, 12.B Convection, 12.C Radiation, 12.D Transient processes, 12.E Heat exchangers
Measurements, Instrumentation, and Controls4.55 to 7.27%13.A Sensors and transducers, 13.B Control systems (e.g., feedback, block diagrams), 13.C Dynamic system response, 13.D Measurement uncertainty (e.g., error propagation, accuracy, precision, significant figures)
Mechanical Design and Analysis9.09 to 13.64%14.A Stress analysis of machine elements, 14.B Failure theories and analysis, 14.C Deformation and stiffness, 14.D Springs, 14.E Pressure vessels and piping, 14.F Bearings

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