FE Mechanical study guide
FE Mechanical · Work through your exam, one topic at a time.
The Fundamentals of Engineering (FE) Mechanical exam is one of the discipline-specific FE exams offered by NCEES. Passing the FE is generally the first step toward becoming a licensed professional engineer (P.E.). The FE Mechanical study guide has 7 sections and about 2,699 words.
01Mathematics
The FE Mechanical Mathematics section tests algebra, trigonometry, analytic geometry, differential and integral calculus, linear algebra, differential equations, and numerical methods. Items are usually short calculations; the NCEES FE Reference Handbook supplies formulas, so the challenge is selecting the right relation and applying it cleanly.
355 words, about 2 min02Probability and Statistics
The FE Mechanical probability and statistics items cover descriptive statistics, probability rules, common distributions, sampling, confidence intervals, hypothesis testing, regression, and quality control. The exam favors applied calculations: given a mean and standard deviation, find a probability; given sample data, choose the correct interval or test.
404 words, about 2 min03Ethics and Professional Practice
The FE Mechanical ethics and professional practice questions test the NCEES Model Law and Model Rules, state licensure requirements, and the engineer's duty to protect public health, safety, and welfare. Expect scenario items about sealing drawings, competence, conflicts of interest, confidentiality, and reporting violations.
420 words, about 2 min04Engineering Economics
The FE Mechanical engineering economics items test time value of money, equivalence, project evaluation, depreciation, taxes, and inflation. Most problems reduce to converting cash flows to a common point in time and comparing alternatives on a consistent basis.
385 words, about 2 min05Statics
The FE Mechanical statics items test equilibrium of particles and rigid bodies, free-body diagrams, trusses, frames and machines, friction, centroids, and moments of inertia. The exam expects you to identify support reactions, reduce distributed loads, and apply equilibrium equations without being distracted by internal forces.
396 words, about 2 min06Dynamics
The FE Mechanical dynamics items test kinematics, Newton's second law, work-energy, impulse-momentum, and rigid-body motion. Many problems can be solved with more than one method; choose the one that matches the given and requested quantities to save time.
384 words, about 2 min07Mechanics of Materials
The FE Mechanical mechanics of materials items test stress and strain, axial deformation, torsion, bending, beam deflection, combined loading, failure theories, and buckling. You must track geometry properties such as area, centroid, and moment of inertia, and apply the correct formula for the member and loading.
355 words, about 2 min