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FE Mechanical: Every Topic on One Drawn Page Sketch First, Then the Math, With Units on Every Line

Free-body diagrams, Mohr's circle, Bernoulli, steam tables, the Rankine cycle, heat exchangers, the Goodman line. Each topic fits on one page: what to sketch first, which formula applies, where to find it in the FE Reference Handbook, and the math worked line by line with units carried through. 89 illustrated pages.

STUDY IT WITH DRAWINGS

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One topic per pagethe drawing shows you the setup and the text walks you through it
89 illustrated pages13 parts, from how the CBT works to test day
Up-to-date sourcesNCEES FE Mechanical CBT specification and FE Reference Handbook

This Is What the Pages You Will Study Look Like

One topic per page: a drawing that shows you the setup, and boxes with what you need to know:

110 questions · 6-hour appointment · tutorial + optional break · 225 USD · pass/fail
110 questions · 6-hour appointment · tutorial + optional break · 225 USD · pass/fail
x³ − 6x² + 9x: max at x = 1, min at x = 3, area under x² from 0 to 3 = 9
x³ − 6x² + 9x: max at x = 1, min at x = 3, area under x² from 0 to 3 = 9
12 V across 4 Ω gives 3 A and 36 W: V = IR, KCL and KVL on one page
12 V across 4 Ω gives 3 A and 36 W: V = IR, KCL and KVL on one page
Pin = 2 reactions, roller = 1, fixed = 2 forces + 1 moment; triangle load at L/3.
Pin = 2 reactions, roller = 1, fixed = 2 forces + 1 moment; triangle load at L/3.
20 m/s to rest at −5 m/s²: 40 m and 4 s, from one equation.
20 m/s to rest at −5 m/s²: 40 m and 4 s, from one equation.
Steel rod, 10,000 lbf on 0.5 in²: σ = 20,000 psi and δ = 0.0690 in.
Steel rod, 10,000 lbf on 0.5 in²: σ = 20,000 psi and δ = 0.0690 in.
Modulus of resilience σy²/2E: 250 MPa and 200 GPa give 0.156 MJ/m³.
Modulus of resilience σy²/2E: 250 MPa and 200 GPa give 0.156 MJ/m³.
Oil with SG 0.85: ρ = 850 kg/m³ and γ = 8.34 kN/m³.
Oil with SG 0.85: ρ = 850 kg/m³ and γ = 8.34 kN/m³.

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These are real pages from the book. The table of contents is the full one: 13 parts and 84 topics.

Nobody Ever Put It in Order for You.

You've read the section on beam reactions three times. You close your notes...

...and you're no longer sure how many reactions a pin gives or which sign each one gets. It was just lines of text.

12 V across 4 Ω gives 3 A and 36 W: V = IR, KCL and KVL on one page

Here supports are one drawn page: the pin with its two reactions, the roller with one, the fixed support with two forces and a moment, and the free-body diagram drawn before a single equation.

And on the pages next to it, every topic has its own: the free-body diagram, beam deflection, Bernoulli, the Rankine cycle and the Goodman line.

First you understand why it's set up that way. Then the order comes back to you on its own.

SEE THE DIFFERENCE

Stop memorizing formulas you can't picture:

THIS
  • Pages and pages of dense text
  • Formulas without a single drawing
  • On exam day, you don't know where to start
For a body in static equilibrium, the vector sum of all external forces and the sum of the moments about any point must both equal zero. Each support introduces unknown reaction components according to the constraints it imposes: a pin restrains translation in two directions, a roller restrains translation normal to its surface, and a fixed support restrains both translations and rotation. Distributed loads are replaced by an equivalent resultant acting through the centroid of the load diagram, after which the equilibrium equations are solved for the unknown reactions.
FOR THIS
  • Every concept drawn
  • One topic per page, with the rules in boxes
  • You remember it because you've seen it
x³ − 6x² + 9x: max at x = 1, min at x = 3, area under x² from 0 to 3 = 9
CONTENTS

Take a Look at the 13 Parts and 84 Topics

Exam basics, math and economics, electricity, statics, dynamics, mechanics of materials, materials, fluids, thermodynamics, heat transfer, controls, mechanical design and test day: 89 pages, all drawn

IYour FE Mechanical Exam · pp. 6-8
  1. 110 Questions, 6 Hours: How the CBT Works
  2. The FE Reference Handbook: Find It in 30 Seconds
  3. SI and US Customary: Units That Trip You Up
IIMath, Statistics, Ethics and Economics · pp. 9-17
  1. Derivatives and Integrals You Actually Use
  2. Differential Equations and Laplace in One Page
  3. Vectors and Matrices
  4. Numerical Methods: Newton's Method and Error
  5. Normal Distribution and Standard Deviation
  6. Linear Regression and the Correlation Coefficient
  7. Codes of Ethics and the Engineer's Duty
  8. Time Value of Money: P, F, A in One Drawing
  9. Break-Even and Life-Cycle Cost
IIIElectricity and Magnetism · pp. 18-21
  1. Ohm's Law and Kirchhoff's Laws
  2. Series and Parallel Circuits
  3. AC Circuits: Resistors, Capacitors, Inductors
  4. Motors and Generators
IVStatics · pp. 22-27
  1. Resultants and Free-Body Diagrams
  2. Equilibrium of Rigid Bodies
  3. Trusses: Method of Joints vs Sections
  4. Frames and Machines
  5. Centroids and Moments of Inertia
  6. Static Friction and Impending Motion
VDynamics, Kinematics and Vibrations · pp. 28-34
  1. Kinematics of Particles: Constant Acceleration
  2. Newton's Second Law with Kinetic Friction
  3. Work-Energy for Particles
  4. Impulse and Momentum
  5. Rigid-Body Rotation and Mechanisms
  6. Newton's Second Law for Rigid Bodies
  7. Free and Forced Vibration
VIMechanics of Materials · pp. 35-43
  1. Axial Stress, Strain and Hooke's Law
  2. Shear and Moment Diagrams
  3. Bending Stress: My/I
  4. Torsion: Tr/J and Shaft Twist
  5. Thermal Stress and Deformation
  6. Mohr's Circle Step by Step
  7. Combined Loading
  8. Beam Deflection
  9. Column Buckling: Euler's Formula
VIIMaterial Properties and Processing · pp. 44-50
  1. The Stress-Strain Diagram
  2. Ferrous and Nonferrous Metals
  3. The Iron-Carbon Phase Diagram
  4. Heat Treating: Quench, Temper, Anneal
  5. Manufacturing Processes
  6. Corrosion: Galvanic Series and Protection
  7. Fatigue, Creep and Fracture
VIIIFluid Mechanics · pp. 51-59
  1. Fluid Properties: Density, Viscosity, Specific Gravity
  2. Hydrostatic Pressure and Manometers
  3. Continuity and Bernoulli
  4. Momentum and Jet Forces
  5. Pipe Flow: Reynolds Number and Darcy Friction
  6. Drag and Lift on Bodies
  7. Compressible Flow and Mach Number
  8. Pumps: Power, Efficiency and Curves
  9. Affinity Laws for Fans and Pumps
IXThermodynamics · pp. 60-69
  1. Ideal Gas Law and Pure Substances
  2. Using the Steam Tables
  3. First Law: Closed vs Open Systems
  4. Second Law and Entropy
  5. Turbines, Compressors, Nozzles and Valves
  6. The Rankine Cycle
  7. Otto, Diesel and Brayton Cycles
  8. Refrigeration and Heat Pump Cycles
  9. Psychrometric Chart and HVAC Processes
  10. Combustion and Air-Fuel Ratio
XHeat Transfer · pp. 70-74
  1. Conduction and Thermal Resistance
  2. Convection and the Heat Transfer Coefficient
  3. Radiation and Emissivity
  4. Transient Heat Transfer: Lumped Capacitance
  5. Heat Exchangers: LMTD and Effectiveness
XIMeasurements, Instrumentation and Controls · pp. 75-78
  1. Sensors and Transducers
  2. Block Diagrams and Feedback
  3. First- and Second-Order System Response
  4. Measurement Uncertainty and Significant Figures
XIIMechanical Design and Analysis · pp. 79-87
  1. Failure Theories: von Mises vs Tresca
  2. Fatigue Design: the Goodman Line
  3. Springs
  4. Thin-Walled Pressure Vessels
  5. Bearings
  6. Gears, Belts and Power Transmission
  7. Bolted and Welded Joints
  8. Limits and Fits
  9. GD&T Symbols on a Drawing
XIIIFinal Review and Test Day · pp. 88-89
  1. Frequent Mix-Ups, Side by Side
  2. Test Day Checklist

What If Every Topic Fit on a Single Page?

Picture this:

Instead of rereading half a page about Mohr's circle without being able to see it...

...you open the page and find the circle built in four drawings, with the sign convention, the center, the radius and 2θ marked right on it.

20 m/s to rest at −5 m/s²: 40 m and 4 s, from one equation.

And statics, Bernoulli, the steam tables, the Rankine cycle and heat exchangers turn into drawings and tables you can read at a glance.

You stop repeating and start understanding.

That's exactly what The FE Mechanical Exam Sketchbook does. It's not “just another review manual.” It's 13 parts and 84 drawn topics, and at the end the most frequent mix-ups side by side and a test day checklist. Because what your brain sees in order, it remembers.

Because what your brain sees organized, it remembers.

Here Is What You Get with The FE Mechanical Exam Sketchbook:

Ipp. 6-8

Your FE Mechanical Exam

How the CBT works (110 questions, 6 hours), how to find any formula in the FE Reference Handbook, and the SI and US customary units that trip you up.

IIpp. 9-17

Math, Statistics, Ethics and Economics

Derivatives and integrals, differential equations and Laplace, vectors and matrices, Newton's method, the normal distribution, regression, ethics, time value of money and break-even.

IIIpp. 18-21

Electricity and Magnetism

Ohm's and Kirchhoff's laws, series and parallel circuits, AC circuits with resistors, capacitors and inductors, and motors and generators.

IVpp. 22-27

Statics

Resultants and free-body diagrams, equilibrium, trusses by joints and by sections, frames and machines, centroids and moments of inertia, and static friction.

Vpp. 28-34

Dynamics, Kinematics and Vibrations

Constant acceleration, Newton's second law with friction, work-energy, impulse and momentum, rigid-body rotation and mechanisms, and free and forced vibration.

VIpp. 35-43

Mechanics of Materials

Axial stress and Hooke's law, shear and moment diagrams, My/I, Tr/J, thermal stress, Mohr's circle, combined loading, beam deflection and Euler buckling.

VIIpp. 44-50

Material Properties and Processing

The stress-strain diagram, ferrous and nonferrous metals, the iron-carbon diagram, heat treating, manufacturing processes, corrosion, and fatigue, creep and fracture.

VIIIpp. 51-59

Fluid Mechanics

Density and viscosity, manometers, continuity and Bernoulli, jet forces, Reynolds number and Darcy friction, drag and lift, Mach number, pumps and the affinity laws.

IXpp. 60-69

Thermodynamics

Ideal gases and steam tables, the first and second laws, turbines and nozzles, the Rankine, Otto, Diesel and Brayton cycles, refrigeration, the psychrometric chart and combustion.

Xpp. 70-74

Heat Transfer

Conduction and thermal resistance, convection, radiation, lumped capacitance, and heat exchangers with LMTD and effectiveness.

XIpp. 75-78

Measurements, Instrumentation and Controls

Sensors and transducers, block diagrams and feedback, first- and second-order system response, and measurement uncertainty.

XIIpp. 79-87

Mechanical Design and Analysis

von Mises vs Tresca, the Goodman line, springs, thin-walled pressure vessels, bearings, gears and belts, bolted and welded joints, limits and fits, and GD&T symbols.

XIIIpp. 88-89

Final Review and Test Day

The most frequent mix-ups side by side and a checklist for test day.

At the end of the book: The most frequent mix-ups side by side and a test day checklist.

And That Is Not All: 2 More Books, Free

FE Mechanical Free-Body and Cycle Workbook

BONUS 1: «FE Mechanical Free-Body and Cycle Workbook»

Value on its own: US$ 17.90

40 loaded parts and thermodynamic cycles to draw and solve on your own, each with a fully worked answer so you can check every step.

250 Formulas and Terms on Cards

BONUS 2: «250 Formulas and Terms on Cards»

Value on its own: US$ 14.90

Printable cards for quick review: the term or formula on the front, and its variables, units and a small sketch on the back.

The FE Mechanical Exam Sketchbook + 2 Free Books

  • The FE Mechanical Exam Sketchbook: 89 illustrated pagesUS$ 63
  • BONUS 1: FE Mechanical Free-Body and Cycle WorkbookUS$ 17.90
  • BONUS 2: 250 Formulas and Terms on CardsUS$ 14.90
  • High-resolution PDF to printIncluded
Total value US$ 95.80
YOUR PRICE:
US$ 27
You save US$ 68.80
YES, I WANT THE FE MECHANICAL EXAM SKETCHBOOK FOR US$ 27

📄 This is a digital PDF book sent to your email: nothing is printed or shipped.

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PDF by email: The FE Mechanical Exam Sketchbook reaches your inbox as a PDF, and the two free books come by email too. One-time payment, no installments or hidden costs.

Is This Book for You?

You're in your senior year

You're in your senior year

Statics, mechanics of materials, fluids and thermo, one topic per page, to review between classes while it's all still fresh.

Your test date is coming up

Your test date is coming up

A full review of the 14 knowledge areas in one fixed order, and at the end the most frequent mix-ups side by side and a test day checklist.

You already work as an engineer

You already work as an engineer

Years after your last thermo class, a drawn review that fits into nights and weekends: what to sketch first, which formula applies and where to find it in the Handbook.

To Sum Up: Here Is What You Get

US$ 95.80US$ 27
YES, I WANT THE FE MECHANICAL EXAM SKETCHBOOK FOR US$ 27

📄 This is a digital PDF book sent to your email: nothing is printed or shipped.

30DAYS
GUARANTEE

30-Day Guarantee

30-day guarantee: tell us what didn't work and we'll refund 100%.

You have 30 days to try The FE Mechanical Exam Sketchbook and the two bonus books. If it doesn't work for you, email us, tell us what didn't work and we'll refund 100% of what you paid. One-time payment, no subscriptions, no surprises.

Frequently Asked Questions

How do I get the material?

After your purchase you'll get an email with The FE Mechanical Exam Sketchbook as a high-resolution PDF, to read on your phone or print. The two bonus books, FE Mechanical Free-Body and Cycle Workbook and 250 Formulas and Terms on Cards, also come by email. Everything is sent to the email address you enter at checkout.

Is it a monthly payment or a one-time payment?

A one-time payment of $27. No installments and no subscription. The extras offered at checkout are optional: you're only charged for them if you add them.

Who is it for?

For senior mechanical engineering students, recent grads preparing for the FE Mechanical, and working engineers who never took it or are retaking it and want a visual review. Check the table of contents above to see every topic.

What sources is it based on?

On the NCEES FE Mechanical CBT exam specification and the NCEES FE Reference Handbook. Every worked example carries its units on every line, so you can check each step yourself. Each page points to where its formula lives in the Handbook without reproducing it. NCEES updates both documents, so check ncees.org for the current versions before your test date.

Is this official NCEES material?

No. It's an independent study guide, not affiliated with or endorsed by NCEES or any state licensing board. On exam day you work with the official FE Reference Handbook.

Does it replace my coursework or a prep course?

No, it works alongside them. The Handbook gives you every formula but not which one to use. A prep course gives you hours of video. This book gives you one drawn page per topic: what to sketch first, which formula applies, where it lives in the Handbook, and the math worked line by line with units on every line. It doesn't replace your degree, the Handbook or a prep course, and it doesn't promise a passing result.

Are the practice problems the ones on the exam?

No. Every problem is original, written for this book and labeled exam-style. They're for practice, not real exam questions.

Can I print it?

Yes. The book and the two bonus books are PDFs you can print at home or at a print shop, including the formula cards.

What if I don't like it?

30-day guarantee: tell us what didn't work and we'll refund 100%.

One Last Thing Before You Decide...

You don't have to reread the same page hoping it sticks this time.

You don't have to memorize formulas you can't picture.

And you definitely don't have to walk into the exam without knowing where to start.

There's an easier way. And it's one click away. Now it's your turn.

One-time payment: US$ 27 · Guarantee: 30 days · PDF by email

YES, I WANT THE FE MECHANICAL EXAM SKETCHBOOK FOR US$ 27

📄 This is a digital PDF book sent to your email: nothing is printed or shipped.