The Fundamentals of Engineering (FE) Mechanical exam is the gateway to your Professional Engineering (PE) license in mechanical engineering. Whether you are a recent graduate or an experienced engineer who never got around to taking it, passing this exam opens the door to career advancement, higher earning potential, and the ability to stamp and seal engineering work. This guide breaks down everything you need to know — from the full list of exam topics and their weights to a week-by-week study plan that works.

What Is the FE Exam and Why Does It Matter?

Administered by the National Council of Examiners for Engineering and Surveying (NCEES), the FE exam is a computer-based test designed to assess whether you have the foundational knowledge expected of an entry-level engineer. It consists of 110 questions answered over a 5 hour and 20 minute session, and it is offered year-round at Pearson VUE testing centers.

Passing the FE exam earns you the designation of Engineer Intern (EI) or Engineer in Training (EIT), depending on your state. From there, after accumulating the required years of professional experience (typically four years under a licensed PE), you become eligible to sit for the PE exam and earn full licensure.

Career Benefits of Passing the FE Exam

Complete Breakdown of All 14 Topic Areas

The FE Mechanical exam draws from 14 distinct knowledge areas. The first four topics are shared across all FE disciplines, while topics 5 through 14 are specific to the mechanical engineering exam. NCEES publishes an exam specification that assigns each topic an approximate number of questions out of 110. Below is each topic area with its estimated question count and what to expect.

Part 1: Shared Topics (All FE Disciplines)

1. Mathematics (6–9 questions)

Covers calculus (derivatives and integrals), differential equations, linear algebra, vector operations, and analytic geometry. You will encounter problems involving partial derivatives, solving first- and second-order ordinary differential equations, matrix operations, and vector cross and dot products. The NCEES FE Reference Handbook provides key formulas, but you need to know how to recognize which technique applies and execute it quickly. Math on the FE Mechanical exam carries more weight than on some other disciplines because it underpins thermodynamics, dynamics, fluid mechanics, and heat transfer.

2. Probability and Statistics (4–6 questions)

Expect questions on probability distributions (normal, binomial, Poisson), measures of central tendency and dispersion, linear regression, hypothesis testing, and confidence intervals. Mechanical engineers use statistics extensively in quality control, reliability engineering, and experimental analysis. Most problems are straightforward if you understand when to apply each distribution and how to use the standard normal table in the reference handbook.

3. Ethics and Professional Practice (4–6 questions)

Covers the NCEES Model Rules of Professional Conduct, ethical obligations, public safety considerations, and licensure requirements. These are conceptual rather than computational — you will be given scenarios and asked to identify the correct ethical course of action. Read the ethics section in the reference handbook carefully. This is one of the easiest topic areas to score well on with minimal study time, making it essentially free points on exam day.

4. Engineering Economics (4–6 questions)

Topics include time value of money, present and future worth analysis, annual cost comparisons, benefit-cost analysis, rate of return, breakeven analysis, and depreciation methods. Master the standard factor formulas (P/F, F/P, A/P, A/F, P/A, F/A) and you will handle these efficiently. Mechanical engineers routinely use economic analysis to compare equipment alternatives and justify capital expenditures.

Part 2: Mechanical Engineering–Specific Topics

5. Statics (9–14 questions)

One of the most heavily tested topics on the exam. Covers resultants of force systems, concurrent and non-concurrent forces, equilibrium of rigid bodies, analysis of trusses (method of joints and method of sections), frames and machines, centroids and moments of inertia, and friction. You must be able to draw free body diagrams confidently and solve equilibrium equations. This is a foundational topic — weaknesses here will cascade into Mechanics of Materials, Dynamics, and Mechanical Design. Subtopics include:

6. Dynamics, Kinematics, and Vibrations (10–15 questions)

A major topic area that goes well beyond what other FE disciplines test. Covers particle and rigid body kinematics (rectilinear, curvilinear, and relative motion), kinetics using Newton’s second law, work-energy methods, impulse-momentum methods, impact (elastic and inelastic collisions), and vibrations (free, damped, and forced). Subtopics include:

7. Mechanics of Materials (9–14 questions)

Another high-weight topic. Includes stress and strain (normal and shear), axial loading, torsion of circular shafts, bending stresses in beams, shear stresses in beams, combined loading, Mohr’s circle for stress and strain, beam deflections, statically indeterminate members, pressure vessels, and column buckling (Euler’s formula). Subtopics include:

8. Material Properties and Processing (4–6 questions)

Covers mechanical properties of metals, polymers, ceramics, and composites. Expect questions on the stress-strain curve (yield strength, ultimate strength, modulus of elasticity, ductility), hardness testing, fatigue life, creep, phase diagrams (iron-carbon), heat treatment processes (annealing, quenching, tempering), and corrosion mechanisms. Subtopics include:

9. Fluid Mechanics (10–15 questions)

Covers fluid properties (density, viscosity, surface tension, compressibility), fluid statics and manometry, buoyancy, the Bernoulli equation, the continuity equation, pipe flow with friction losses (Darcy-Weisbach and Moody diagram), Reynolds number, dimensional analysis, external flow (drag and lift), and turbomachinery. Subtopics include:

10. Thermodynamics (10–15 questions)

The most formula-dense section on the exam. Covers the first and second laws, properties of pure substances (steam tables, ideal gas), power cycles (Rankine, Brayton, Otto, Diesel), refrigeration cycles (vapor-compression), psychrometrics, gas mixtures, and entropy. Subtopics include:

11. Heat Transfer (7–11 questions)

Covers conduction (Fourier’s law, thermal resistance, composite walls, fins), convection (Newton’s law of cooling, forced and natural convection correlations, dimensionless numbers), radiation (Stefan-Boltzmann law, emissivity, view factors), and heat exchangers (LMTD and effectiveness-NTU methods). Subtopics include:

12. Measurements, Instrumentation, and Controls (5–8 questions)

Covers measurement uncertainty, sensor types (thermocouples, strain gauges, pressure transducers, flow meters), signal conditioning, data acquisition basics, and feedback control systems (block diagrams, transfer functions, stability, PID controllers). Subtopics include:

13. Mechanical Design and Analysis (10–15 questions)

Ties together statics, mechanics of materials, and material properties into real-world design problems. Covers stress analysis, fatigue (S-N curves, endurance limit, Goodman diagram), failure theories (von Mises, Tresca, maximum normal stress), bolted and welded connections, springs, bearings, gears, shafts, power transmission, and fits and tolerances. Subtopics include:

14. Computational Tools (4–6 questions)

Covers numerical methods including numerical integration (trapezoidal rule, Simpson’s rule), root-finding (bisection, Newton-Raphson), curve fitting, interpolation, and numerical differentiation. Also covers spreadsheet applications and basic programming logic. Subtopics include:

Which Topics Should You Prioritize?

Not all 14 topics carry equal weight. A strategic study plan focuses your limited time where it will earn the most points. The five highest-yield topics are:

  1. Dynamics, Kinematics, and Vibrations (10–15 questions) — the broadest mechanics topic with vibrations as a unique sub-area
  2. Fluid Mechanics (10–15 questions) — heavily tested with multi-step pipe and pump problems
  3. Thermodynamics (10–15 questions) — the most formula-dense topic that rewards thorough preparation
  4. Mechanical Design and Analysis (10–15 questions) — integrates multiple subjects into applied design problems
  5. Statics (9–14 questions) and Mechanics of Materials (9–14 questions) — the structural foundation for dynamics and design

Together, these topics account for roughly 48 to 73 questions — approximately 44% to 66% of the entire exam. If you can consistently answer these correctly, you are well on your way to passing.

After mastering those, move to the mid-weight topics: Heat Transfer (7–11 questions) and Measurements, Instrumentation, and Controls (5–8 questions). These collectively represent another 12–19 questions, and many of these are formula-driven and very learnable in a short time.

Finally, review the foundational and lighter-weight topics: Mathematics (6–9), Probability and Statistics (4–6), Ethics and Professional Practice (4–6), Engineering Economics (4–6), Material Properties and Processing (4–6), and Computational Tools (4–6). While they carry fewer questions individually, together they still account for roughly 26–39 questions — and many of these are among the easiest to score well on. Ethics and Engineering Economics in particular offer a strong return on a small time investment.

Recommended 12-Week Study Timeline

Most successful candidates spend 200–300 hours preparing over 8 to 16 weeks. Here is a suggested 12-week plan tailored to the FE Mechanical exam:

Study Tips for Exam Day Success

Final Thoughts

The FE Mechanical Engineering exam is challenging, but it is absolutely passable with a structured study plan and consistent effort. Focus on the high-weight topics first — Dynamics, Fluid Mechanics, Thermodynamics, Mechanical Design, and Statics/Mechanics of Materials — then build outward to the remaining areas. Become fluent with the reference handbook, take plenty of practice exams under realistic conditions, and manage your time carefully on exam day. Every hour you invest in preparation brings you one step closer to your PE license and the career opportunities that come with it.

Disclaimer: This guide is an independent educational resource and is not affiliated with, endorsed by, or sponsored by NCEES. The “Fundamentals of Engineering” exam, “FE” exam, and “NCEES” are trademarks of the National Council of Examiners for Engineering and Surveying. Exam specifications and content are subject to change; always refer to the official NCEES website for the most current information.