PracticeVideosBlogFlashcards
All Practice Exams

Free Practice Questions for PE Mechanical Machine Design

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card
Exam pass rate: 61%
123+ Questions
100% Free

Loading practice questions...

Same family resources

Explore More PE Exams

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

Exam Review

Key Facts: PE Mechanical Machine Design Exam

80

Exam Questions

NCEES

8 hrs

Test Time

NCEES

$400

Exam Fee

NCEES

9 hrs

Total Appointment

NCEES

CBT

Format

Pearson VUE

120+

Practice Questions

OpenExamPrep

PE Mechanical Machine Design and Materials is one of three NCEES PE Mechanical exams. The 80-question computer-based test runs in a 9-hour appointment (8 hours of exam time) and costs $400. Its October 2025 specification emphasizes mechanics of materials and failure theories, fatigue, fasteners and welds, gears, bearings, shafts and other power-transmission elements, pressure vessels, springs, vibration, mechanisms and mechatronics, plus manufacturing, tolerancing and codes. NCEES supplies the PE Mechanical Reference Handbook as a searchable PDF during the exam.

Sample PE Mechanical Machine Design Practice Questions

Try these sample questions to review concepts for the PE Mechanical Machine Design exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 123+ question experience with AI tutoring.

1A round bar is loaded in pure tension with a force F = 50 kN. The bar diameter is 25 mm. What is the normal stress in the bar?
A.64 MPa
B.102 MPa
C.128 MPa
D.204 MPa
Explanation: Cross-sectional area A = pi*d^2/4 = pi*(0.025)^2/4 = 4.909e-4 m^2. Normal stress sigma = F/A = 50,000 / 4.909e-4 = 1.018e8 Pa, approximately 102 MPa. This is the basic axial stress equation used as the entry point for nearly all stress analysis.
2A 2D stress element has sigma_x = 80 MPa, sigma_y = -40 MPa, and tau_xy = 30 MPa. What is the maximum principal stress?
A.20 MPa
B.67 MPa
C.87 MPa
D.120 MPa
Explanation: Average stress sigma_avg = (80 + (-40))/2 = 20 MPa. Radius R = sqrt(((80 - (-40))/2)^2 + 30^2) = sqrt(60^2 + 30^2) = sqrt(4500) = 67.1 MPa. sigma_1 = 20 + 67.1 = 87.1 MPa. This is direct application of Mohr's circle for plane stress.
3For the same stress state (sigma_x = 80 MPa, sigma_y = -40 MPa, tau_xy = 30 MPa), what is the maximum in-plane shear stress?
A.30 MPa
B.60 MPa
C.67 MPa
D.87 MPa
Explanation: Maximum in-plane shear equals the radius of Mohr's circle: tau_max = sqrt(((sigma_x - sigma_y)/2)^2 + tau_xy^2) = sqrt(60^2 + 30^2) = 67.1 MPa. The radius of Mohr's circle is exactly the in-plane maximum shear stress.
4A ductile steel has yield strength Sy = 350 MPa. A part experiences principal stresses sigma_1 = 200 MPa, sigma_2 = 100 MPa, sigma_3 = 0. Using the distortion-energy (von Mises) criterion, what is the factor of safety against yielding?
A.1.5
B.1.75
C.2.0
D.2.5
Explanation: von Mises stress sigma' = sqrt(0.5*[(sigma_1 - sigma_2)^2 + (sigma_2 - sigma_3)^2 + (sigma_3 - sigma_1)^2]) = sqrt(0.5*[100^2 + 100^2 + 200^2]) = sqrt(0.5*60000) = sqrt(30000) = 173.2 MPa. Factor of safety n = Sy/sigma' = 350/173.2 = 2.02, approximately 2.0.
5Using the maximum-shear-stress (Tresca) criterion with the same principal stresses (sigma_1 = 200, sigma_2 = 100, sigma_3 = 0 MPa) and Sy = 350 MPa, what is the factor of safety?
A.1.50
B.1.75
C.2.00
D.3.50
Explanation: Tresca uses tau_max = (sigma_1 - sigma_3)/2 = (200 - 0)/2 = 100 MPa. The criterion compares 2*tau_max to Sy: n = Sy / (sigma_1 - sigma_3) = 350/200 = 1.75. Tresca is always more conservative than von Mises (yields a smaller FoS for the same load).
6Which failure theory is generally MOST appropriate for ductile materials under static loading?
A.Maximum normal stress (Rankine)
B.Distortion energy (von Mises)
C.Mohr-Coulomb (brittle)
D.Modified Mohr
Explanation: The distortion-energy (von Mises) criterion best matches experimental yield data for ductile metals because it accounts for shear distortion energy. Maximum-shear (Tresca) is also acceptable for ductile materials but is more conservative. Maximum-normal-stress and Mohr-based theories are intended for brittle materials.
7A simply-supported beam, 4 m span, carries a uniformly distributed load w = 10 kN/m. What is the maximum bending moment?
A.10 kN-m
B.20 kN-m
C.40 kN-m
D.80 kN-m
Explanation: For a simply-supported beam under UDL, M_max = w*L^2/8 = (10)*(4)^2/8 = 160/8 = 20 kN-m. This standard formula is foundational; memorize the M_max formulas for SS-UDL, SS-point-center, cantilever-end-point, and cantilever-UDL.
8A solid circular shaft of diameter 40 mm transmits a torque of 600 N-m. What is the maximum shear stress?
A.23.9 MPa
B.47.7 MPa
C.71.6 MPa
D.95.5 MPa
Explanation: For a solid circular shaft, tau_max = 16T/(pi*d^3) = 16*(600)/(pi*(0.040)^3) = 9600/(pi*6.4e-5) = 9600/(2.011e-4) = 4.77e7 Pa = 47.7 MPa. The 16T/(pi*d^3) form is the fastest exam shortcut.
9A hollow shaft has outer diameter Do = 50 mm and inner diameter Di = 40 mm. The polar moment of inertia J is approximately:
A.1.78e5 mm^4
B.3.61e5 mm^4
C.5.21e5 mm^4
D.6.13e5 mm^4
Explanation: J = (pi/32)*(Do^4 - Di^4) = (pi/32)*(50^4 - 40^4) = (pi/32)*(6,250,000 - 2,560,000) = (pi/32)*3,690,000 = 0.0982*3,690,000 = 362,265 mm^4, approximately 3.61e5 mm^4. Hollow shafts have nearly the J of solid shafts but much less weight.
10Steel has E = 200 GPa and Poisson's ratio nu = 0.30. What is the shear modulus G?
A.50 GPa
B.67 GPa
C.77 GPa
D.100 GPa
Explanation: For an isotropic material, G = E / (2*(1+nu)) = 200 / (2*1.3) = 200 / 2.6 = 76.9 GPa, approximately 77 GPa. This relation between E, G, and nu always holds for isotropic linear-elastic materials.

About the PE Mechanical Machine Design Exam

The NCEES PE Mechanical: Machine Design and Materials exam is one of three PE Mechanical sub-discipline exams (alongside HVAC and Refrigeration and Thermal and Fluid Systems). The 80-question computer-based exam, under specifications effective October 2025, covers six areas: Basic Engineering Practice (11–17 questions), Mechanics of Materials (17–26), Mechanical Attachments (9–14), Power Transmission (9–14), Mechanical Components and Assemblies (16–24), and Supportive Knowledge such as manufacturing, fits and tolerances, codes, computational methods, testing and corrosion (8–12).

Exam sponsor: NCEES (Pearson VUE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

80 questions

Time Limit

8 hours

Passing Score

Not published; NCEES reports pass/fail results based on a scaled cut score

Exam / Certification Fees

$400

Exam sponsor website

Reported exam pass rate: 61%. first-time takers in the NCEES July 2026 pass-rate update (repeat takers: 39%) This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

11–17 questions (~18%)

Basic Engineering Practice

Engineering terms, symbols and drawings; project management and economic analysis; design methodology (requirements, risk assessment, verification and validation); and physical properties of materials.

17–26 questions (~27%)

Mechanics of Materials

Axial, shear and transverse loading, bending, buckling, torsion, combined loading, static failure, fatigue failure, and thermal and interference stresses.

9–14 questions (~14%)

Mechanical Attachments

Bonds (welds, brazing, chemical bonds, adhesives), non-threaded fasteners (lugs, shackles, retaining rings, pins, anchors, rivets) and threaded fasteners (screws, bolts, studs, anchors).

9–14 questions (~14%)

Power Transmission

Gears and gear trains; bearings; belts, chains, clutches, brakes and power screws; shafts and keys; and motors and engines.

16–24 questions (~25%)

Mechanical Components and Assemblies

Pressurized vessels and piping, hydraulic and pneumatic components, beams, trusses and frames, springs, vibrating systems, basic machines and mechanisms, and basic mechatronics.

8–12 questions (~12%)

Supportive Knowledge

Manufacturing methods, fits and tolerances, codes and standards, computational methods (FEA and numerical methods), instrumentation, testing, inspection and quality, and chemical processes (corrosion, oxidation, embrittlement).

Preparing for the PE Mechanical Machine Design Exam

What You Need to Know

  • Passing score: Not published; NCEES reports pass/fail results based on a scaled cut score
  • Exam length: 80 questions
  • Time limit: 8 hours
  • Exam / certification fees: $400 Official sources

Using Our Practice Resources

  • Work through all 123 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

PE Mechanical Machine Design: Suggested Study Strategy

1Master the NCEES PE Mechanical Reference Handbook layout — know exactly where Marin factors, Goodman criteria, and AGMA gear equations appear
2Drill fatigue analysis: practice modified Goodman, Soderberg, Gerber, and Morrow with both fully reversed and combined loading
3Memorize canonical formulas: tau_max = 16T/(pi*d^3), helical spring k = G*d^4/(8*D^3*Na), ball bearing L10 = (C/P)^3
4Practice GD&T tolerance stack-ups (worst-case and RSS) and MMC bonus tolerance problems on real drawings
5Review failure theories side-by-side: Tresca vs von Mises vs Mohr-Coulomb; pick the right one for ductile vs brittle materials
6Work through bolted-joint problems: C = kb/(kb+km), preload Fi = 0.75*Fp, separation force P_sep = Fi/(1-C)
7Brush up engineering economics: present worth (P/F), annual worth (A/P, A/F), MARR and rate-of-return analysis
8Review motors and engines: synchronous speed 120f/p, slip, NEMA design letters, reflected inertia and flywheel sizing with ΔE = I·ω²·Cs
9Practice unit conversions between US Customary and SI; the exam uses both
10Take a full 80-question timed simulation at least twice in the final two weeks

Frequently Asked Questions

What is the PE Mechanical Machine Design and Materials exam?

It is one of three sub-discipline exams under the NCEES PE Mechanical umbrella, focused on mechanical machinery design, failure analysis, materials, and manufacturing. Examinees pick this discipline at registration. The 80-question computer-based test takes a 9-hour appointment (8 hours of testing plus tutorial and break) at Pearson VUE.

What topics are on the PE Mechanical Machine Design and Materials exam?

Under the specification effective October 2025, the 80 questions cover Basic Engineering Practice (11–17), Mechanics of Materials (17–26), Mechanical Attachments (9–14), Power Transmission (9–14, including motors and engines), Mechanical Components and Assemblies (16–24) and Supportive Knowledge (8–12), which covers manufacturing, fits and tolerances, codes, computational methods, testing and corrosion.

How is this exam different from PE Mechanical HVAC or PE Mechanical Thermal & Fluid Systems?

Machine Design and Materials emphasizes solid mechanics, fatigue, fasteners and welds, gears, bearings, shafts, springs, vibration, mechanisms, GD&T and materials, the design and durability of mechanical components. HVAC and Refrigeration focuses on psychrometrics, refrigeration cycles and load calculations, and Thermal and Fluid Systems on thermodynamic cycles, heat exchangers and fluid systems. Each exam has its own NCEES specification, and all three use the PE Mechanical Reference Handbook.

What is the pass rate for the Machine Design exam?

NCEES posts pass rates by exam. Its July 2026 update shows 61% for 401 first-time takers of PE Mechanical: Machine Design and Materials and 39% for 140 repeat takers. Pass rates reflect the preparation of each candidate pool as well as exam difficulty.

What references are provided during the exam?

NCEES provides the PE Mechanical Reference Handbook as a searchable PDF during the exam, and personal references are not allowed. The Machine Design and Materials specification does not list separate design standards to be supplied. Download the handbook through your MyNCEES account and practice finding equations and tables in it before exam day.

How should I prepare for the calculation-heavy portions?

Master the canonical equations: tau_max = 16T/(pi*d^3) for shafts; modified Goodman 1/n = sigma_a/Se + sigma_m/Sut; Marin factors ka*kb*kc*kd*ke*kf*Se'; bolted-joint stiffness C = kb/(kb+km); helical spring k = G*d^4/(8*D^3*Na); ball bearing L10 = (C/P)^3. Practice 100+ problems spanning these formulas using only the NCEES handbook. Time yourself at 6 minutes per question.

What codes and standards should I review?

The specification lists codes and standards as a topic without naming specific documents, so study the ones machine designers use most: ASME Y14.5 GD&T, AGMA gear rating, ASME BPVC Section VIII and B31 piping, AWS D1.1 welding, ASTM, SAE and ISO material and fastener designations, ASME B30 and BTH-1 lifting rules, and machine-safety rules such as OSHA 1910.212 and ISO 12100.