Detailed Exam Domain Coverage: FE Exam (Functional Exam)

To secure your certification and move toward becoming a Professional Engineer, you must master these core engineering pillars. My practice tests are categorized specifically by these official exam domains:

• Mathematics of Engineering Systems (20%): Advanced Calculus, Linear Algebra, and Differential Equations.

• Survey of Computing (17%): Proficiency in programming languages, data analysis, and CAD tools.

• Statics and Mechanics of Materials (15%): Analyzing forces, stress-strain relationships, and fracture mechanics.

• Materials Science and Engineering (14%): Understanding material properties, selection, and failure modes.

• Structural Analysis (12%): Dynamics of structures, stability, and collapse prevention.

• Engineering Economics (10%): Cost-benefit analysis, risk assessment, and economic modeling.

• Strength of Materials (8%): Bending moments, shear diagrams, torsion, and pure bending.

• Computational Tools and Techniques (4%): Practical application of engineering software and simulation.

Mathematics of Engineering Systems (20%): Advanced Calculus, Linear Algebra, and Differential Equations.

Survey of Computing (17%): Proficiency in programming languages, data analysis, and CAD tools.

Statics and Mechanics of Materials (15%): Analyzing forces, stress-strain relationships, and fracture mechanics.

Materials Science and Engineering (14%): Understanding material properties, selection, and failure modes.

Structural Analysis (12%): Dynamics of structures, stability, and collapse prevention.

Engineering Economics (10%): Cost-benefit analysis, risk assessment, and economic modeling.

Strength of Materials (8%): Bending moments, shear diagrams, torsion, and pure bending.

Computational Tools and Techniques (4%): Practical application of engineering software and simulation.

Course Description

I designed this course to provide the most rigorous and realistic preparation for the FE Exam (Functional Exam). Achieving a passing score of 700/1000 requires more than just memorizing formulas; it requires the ability to solve complex problems under significant time pressure.

With 1,500 practice questions modeled after the actual exam structure, I provide the depth and variety needed to handle the 250-question marathon. Each question includes a step-by-step breakdown of the underlying engineering principles, ensuring you don't just find the answer—you understand the method.

Sample Practice Questions

• Question 1: A beam is subjected to a pure bending moment. Which of the following statements best describes the stress distribution across the cross-section?

  • A. The stress is uniform across the entire section.

  • B. The stress is zero at the outer fibers and maximum at the neutral axis.

  • C. The stress varies linearly, being zero at the neutral axis and maximum at the outer fibers.

  • D. The stress is constant only in the tension zone.

  • E. The stress distribution is parabolic for all material types.

  • F. The stress is independent of the moment applied.

  • Correct Answer: C

  • Explanation:

    • C (Correct): In pure bending, the longitudinal layers of the beam undergo strain proportional to their distance from the neutral axis, resulting in a linear stress distribution (σ=My/I).

    • A (Incorrect): Uniform stress occurs under pure axial loading, not bending.

    • B (Incorrect): This describes the opposite of the actual physical behavior in bending.

    • D (Incorrect): Stress varies in both tension and compression zones.

    • E (Incorrect): While shear stress can be parabolic, bending stress is linear within the elastic range.

    • F (Incorrect): Stress is directly proportional to the applied bending moment.

• Question 2: In Engineering Economics, if an initial investment of $10,000 yields a return of $12,000 after one year, what is the simple interest rate?

  • A. 5%

  • B. 10%

  • C. 15%

  • D. 20%

  • E. 25%

  • F. 30%

  • Correct Answer: D

  • Explanation:

    • D (Correct): Interest = $12,000 - $10,000 = $2,000. Rate = ($2,000 / $10,000) * 100 = 20%.

    • A, B, C, E, F (Incorrect): These values do not mathematically satisfy the simple interest formula based on the given principal and final amount.

• Question 3: Which material property is primarily defined by the resistance to permanent plastic deformation or indentation?

  • A. Ductility

  • B. Hardness

  • C. Malleability

  • D. Toughness

  • E. Elasticity

  • F. Thermal Conductivity

  • Correct Answer: B

  • Explanation:

    • B (Correct): Hardness is the standard engineering measure of a material's resistance to localized plastic deformation.

    • A (Incorrect): Ductility refers to the ability to undergo significant plastic deformation before rupture (e.g., being drawn into wire).

    • C (Incorrect): Malleability is the ability to be deformed under compression, such as hammering into sheets.

    • D (Incorrect): Toughness is the ability to absorb energy and deform plastically before fracturing.

    • E (Incorrect): Elasticity is the ability to return to original shape after unloading.

    • F (Incorrect): This is a thermal property, not a mechanical resistance property.

Question 1: A beam is subjected to a pure bending moment. Which of the following statements best describes the stress distribution across the cross-section?

• A. The stress is uniform across the entire section.

• B. The stress is zero at the outer fibers and maximum at the neutral axis.

• C. The stress varies linearly, being zero at the neutral axis and maximum at the outer fibers.

• D. The stress is constant only in the tension zone.

• E. The stress distribution is parabolic for all material types.

• F. The stress is independent of the moment applied.

• Correct Answer: C

• Explanation:

  • C (Correct): In pure bending, the longitudinal layers of the beam undergo strain proportional to their distance from the neutral axis, resulting in a linear stress distribution (σ=My/I).

  • A (Incorrect): Uniform stress occurs under pure axial loading, not bending.

  • B (Incorrect): This describes the opposite of the actual physical behavior in bending.

  • D (Incorrect): Stress varies in both tension and compression zones.

  • E (Incorrect): While shear stress can be parabolic, bending stress is linear within the elastic range.

  • F (Incorrect): Stress is directly proportional to the applied bending moment.

A. The stress is uniform across the entire section.

B. The stress is zero at the outer fibers and maximum at the neutral axis.

C. The stress varies linearly, being zero at the neutral axis and maximum at the outer fibers.

D. The stress is constant only in the tension zone.

E. The stress distribution is parabolic for all material types.

F. The stress is independent of the moment applied.

Correct Answer: C

Explanation:

• C (Correct): In pure bending, the longitudinal layers of the beam undergo strain proportional to their distance from the neutral axis, resulting in a linear stress distribution (σ=My/I).

• A (Incorrect): Uniform stress occurs under pure axial loading, not bending.

• B (Incorrect): This describes the opposite of the actual physical behavior in bending.

• D (Incorrect): Stress varies in both tension and compression zones.

• E (Incorrect): While shear stress can be parabolic, bending stress is linear within the elastic range.

• F (Incorrect): Stress is directly proportional to the applied bending moment.

C (Correct): In pure bending, the longitudinal layers of the beam undergo strain proportional to their distance from the neutral axis, resulting in a linear stress distribution (σ=My/I).

A (Incorrect): Uniform stress occurs under pure axial loading, not bending.

B (Incorrect): This describes the opposite of the actual physical behavior in bending.

D (Incorrect): Stress varies in both tension and compression zones.

E (Incorrect): While shear stress can be parabolic, bending stress is linear within the elastic range.

F (Incorrect): Stress is directly proportional to the applied bending moment.

Question 2: In Engineering Economics, if an initial investment of $10,000 yields a return of $12,000 after one year, what is the simple interest rate?

• A. 5%

• B. 10%

• C. 15%

• D. 20%

• E. 25%

• F. 30%

• Correct Answer: D

• Explanation:

  • D (Correct): Interest = $12,000 - $10,000 = $2,000. Rate = ($2,000 / $10,000) * 100 = 20%.

  • A, B, C, E, F (Incorrect): These values do not mathematically satisfy the simple interest formula based on the given principal and final amount.

A. 5%

B. 10%

C. 15%

D. 20%

E. 25%

F. 30%

Correct Answer: D

Explanation:

• D (Correct): Interest = $12,000 - $10,000 = $2,000. Rate = ($2,000 / $10,000) * 100 = 20%.

• A, B, C, E, F (Incorrect): These values do not mathematically satisfy the simple interest formula based on the given principal and final amount.

D (Correct): Interest = $12,000 - $10,000 = $2,000. Rate = ($2,000 / $10,000) * 100 = 20%.

A, B, C, E, F (Incorrect): These values do not mathematically satisfy the simple interest formula based on the given principal and final amount.

Question 3: Which material property is primarily defined by the resistance to permanent plastic deformation or indentation?

• A. Ductility

• B. Hardness

• C. Malleability

• D. Toughness

• E. Elasticity

• F. Thermal Conductivity

• Correct Answer: B

• Explanation:

  • B (Correct): Hardness is the standard engineering measure of a material's resistance to localized plastic deformation.

  • A (Incorrect): Ductility refers to the ability to undergo significant plastic deformation before rupture (e.g., being drawn into wire).

  • C (Incorrect): Malleability is the ability to be deformed under compression, such as hammering into sheets.

  • D (Incorrect): Toughness is the ability to absorb energy and deform plastically before fracturing.

  • E (Incorrect): Elasticity is the ability to return to original shape after unloading.

  • F (Incorrect): This is a thermal property, not a mechanical resistance property.

A. Ductility

B. Hardness

C. Malleability

D. Toughness

E. Elasticity

F. Thermal Conductivity

Correct Answer: B

Explanation:

• B (Correct): Hardness is the standard engineering measure of a material's resistance to localized plastic deformation.

• A (Incorrect): Ductility refers to the ability to undergo significant plastic deformation before rupture (e.g., being drawn into wire).

• C (Incorrect): Malleability is the ability to be deformed under compression, such as hammering into sheets.

• D (Incorrect): Toughness is the ability to absorb energy and deform plastically before fracturing.

• E (Incorrect): Elasticity is the ability to return to original shape after unloading.

• F (Incorrect): This is a thermal property, not a mechanical resistance property.

B (Correct): Hardness is the standard engineering measure of a material's resistance to localized plastic deformation.

A (Incorrect): Ductility refers to the ability to undergo significant plastic deformation before rupture (e.g., being drawn into wire).

C (Incorrect): Malleability is the ability to be deformed under compression, such as hammering into sheets.

D (Incorrect): Toughness is the ability to absorb energy and deform plastically before fracturing.

E (Incorrect): Elasticity is the ability to return to original shape after unloading.

F (Incorrect): This is a thermal property, not a mechanical resistance property.

Welcome to the Exams Practice Tests Academy to help you prepare for your FE Exam (Functional Exam).

• You can retake the exams as many times as you want

• This is a huge original question bank

• You get support from instructors if you have questions

• Each question has a detailed explanation

• Mobile-compatible with the Udemy app

• 30-days money-back guarantee if you're not satisfied

You can retake the exams as many times as you want

This is a huge original question bank

You get support from instructors if you have questions

Each question has a detailed explanation

Mobile-compatible with the Udemy app

30-days money-back guarantee if you're not satisfied

I hope that by now you're convinced! And there are a lot more questions inside the course.