FE Mechanical study plan

Resolve 2D particle and rigid-body equilibrium problems by drawing complete free-body diagrams and writing all three equilibrium equations before solving

Compute internal axial force, shear, and bending moment at any section of a beam and draw the shear and moment diagrams from those equations

Calculate centroid and area moment of inertia for composite sections using the parallel-axis theorem

Build a one-page equation sheet for statics and section properties from memory, then verify it against a reference text

Compute normal and shear stress in axial, torsional, and bending members and identify the location of maximum stress in each case

Apply Mohr's circle to convert a given state of stress into principal stresses and maximum shear stress

Determine beam deflection for at least two standard load cases using superposition

Analyze a statically indeterminate axial member by combining compatibility and equilibrium equations

Diagnose column buckling load with Euler's formula and state when the slenderness ratio makes it invalid

Solve projectile and curvilinear motion problems by separating velocity and acceleration into components with consistent sign conventions

Apply Newton's second law in normal-tangential and polar coordinates to bodies on curved paths

Use work-energy and impulse-momentum methods and justify choosing one over the other for a given problem

Analyze rigid-body rotation and rolling without slipping, including relative-velocity and relative-acceleration relations between points

Set up and solve a two-body connected-motion problem such as a pulley with hanging masses

Solve combined loading problems that superimpose axial, bending, and torsional stress at a critical point

Analyze a mass-spring-damper system for natural frequency, damping ratio, and free-vibration response

Compute fatigue life indicators for a member under cyclic loading using stress amplitude and mean stress

Review all statics, dynamics, and mechanics mistakes logged in weeks 1-3 and re-solve each one cold

Differentiate and integrate polynomial, exponential, trigonometric, and logarithmic functions as they appear in rate and accumulation problems

Compute partial derivatives and use them to find maxima and minima of a two-variable function

Evaluate definite integrals numerically with the trapezoidal rule and check the result against the analytic value

Compute descriptive statistics including mean, standard deviation, and median from a raw data set and interpret the spread

Apply the normal and binomial distributions to compute probabilities for stated engineering scenarios

Construct confidence intervals for a mean and state how sample size changes the interval width

Perform a one-sample hypothesis test and state the conclusion in the language of the problem, not just the p-value

Build a linear least-squares fit for paired data and interpret the slope and coefficient of determination

Convert between present worth, future worth, and uniform annual series using the standard interest factor notation

Compare alternatives with present worth, annual worth, and rate-of-return methods and identify when the comparison is invalid

Compute depreciation, book value, and after-tax cash flow for a capital purchase under a stated depreciation method

Perform a break-even and sensitivity analysis and identify the variable that most changes the decision

Apply the order-of-magnitude and unit-consistency checks to flag implausible answers on practice problems

Explain the standard canons of professional ethics and apply them to a conflict-of-interest and a public-safety scenario

Identify the correct professional response when a supervisor directs an engineer to sign off on work that does not meet code

Complete two full-length timed practice exams under exam conditions and record per-domain accuracy

Re-drive every missed concept from the error logs into a corrected worked solution without notes

Memorize and reproduce the complete equation sheet from memory within 20 minutes

Finalize a one-page test-day strategy covering time allocation, calculator use, and the order in which to attempt problems

Verify reference materials, calculator model, and identification requirements against the current exam candidate agreement