Machine Design & Materials - Sample Exam Problems

Practice Exam Designed to be as Close to the Actual Exam as Possible

The information shown on this website is a sample of the material provided in the technical study guide and sample exam. My exams are designed to be as close to the actual PE exam as possible. After each exam, I ask all my customers to provide suggestions on how I can improve my exam. This makes my exam always up to date and an exam that is constantly improving. My exam is a PDF and this is my full time job, so I am able to quickly make changes and issue updates to anyone who purchases the practice exam. I also use a four step method to determine what will most likely be on the PE exam.

First the topics were identified from the official NCEES website. Second, these topics were investigated for key concepts and skills that are commonly used by practicing mechanical engineers. Next, these key concepts and skills were filtered for those that could be tested in roughly 6 minutes per problem. Finally, this practice exam focuses on the principle or application of a skill or concept and not background knowledge of the topic or concept.

This systematic approach to developing sample problems, gives you near actual exam problems for the Mechanical Machine Design & Materials PE Exam. Use this exam to gauge your level of preparedness and to help focus your studying into your areas of need. See the STORE to purchase these items.

Sample Exam Problem 1 - Mechanical Components

The Mechanical Components topic accounts for 18 problems on the PE Exam

A brake band is used to slow down a shaft of diameter 18”. The tension F1 is 100 lbs and the tension F2 is 20 lbs. The angle of wrap is 90 degrees. The coefficient of friction is 0.25 and the width of the band is 2”. What is the torque provided by the band brake?



(A) 720 lb-in
(B) 1,230 lb-in
(C) 1,770 lb-in
(D) 2,000 lb-in

Sample Exam Problem 2 - Joints and Fasteners

The Joints and Fasteners topic accounts for 12 problems on the PE Exam

A solid 4” diameter, rod is welded to a metal piece as shown in the top view below. The rod is welded all around on the outside surface via a ¼” throat fillet weld. A rotational force is applied to the rod to cause a torsional stress. The weld resists the rotational force of 225 lbs. What is the shear stress in the weld?



(A) 51 psi
(B) 72 psi
(C) 119 psi
(D) 252 psi


See the Machine Design and Materials Practice PE Exam for the solution.

Sample Exam Problem 3 - Supportive Knowledge

The Supportive Knowledge topic accounts for 10 problems on the PE Exam

Based on the figure below, which of the following answers best describes the tolerances of part B?



(A) 10 +.02/-.01
(B) 10 +.03/-.03
(C) 20 +.03/-.01
(D) 20 +.02/-.01


See the Sample Machine Design and Materials PE Exam for the solution.

Sample Exam Problem 4 - Engineering Science and Mechanics

The Engineering Science and Mechanics topic accounts for 10 problems on the PE Exam

A beam of weight 100 lbs is supported by a tension cable. The dimensions are shown in the diagram below. What is the tension in the cable?



(A) 100 lbs
(B) 130 lbs
(C) 160 lbs
(D) 190 lbs


See the Sample Machine Design and Materials PE Exam for the solution.

Sample Exam Problem 5 - Material Properties

The Material Properties topic accounts for 8 problems on the PE Exam

The following image is a stress strain diagram for a steel material. Select the statement that is most true.



(A) As stress is increased beyond point A, the material is inelastic
(B) From point B to point C, the material is elastic.
(C) The ultimate tensile stress point is in between points B and C.
(D) Point D is referred to as the breaking point.


See the Sample Machine Design and Materials PE Exam for the solution.

Sample Exam Problem 6 - Strength of Materials

The Strength of Materials topic accounts for 10 problems on the PE Exam

A beam with a uniform rectangular cross section is subject to the loading shown below. The rectangular cross section has a length of 6” and a base of 2”. The maximum moment is 500 lb-ft. What is the maximum bending stress in this beam?



(A) 45 psi
(B) 500 psi
(C) 1,510 psi
(D) 2,040 psi


See the Sample PE Exam for the solution.

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