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This problem essentially breaks down to a beam bending problem. The cantilever beam is 2 inches long with a force applied at 1.5'' from the supported end. The problem states that the beam must not deflect more than a given amount at the point where the force is applied. The following equation...

Shigley's chapter 10, on page 527, describes the fundamental frequency and weight of a spring as follows: In the MERM, in table 60.1, the same equation is given for the linear frequency of a mass-and-spring system except there is a factor of pi in the denominator of the 1/2. This equation is...

I'm working on problem 3 in chapter 53 of the MERM companion. In the solution on page 53-5, an equation in given for "effective eccentricity". I have checked in the MERM, in Shigley, and done some googling. I can't figure out where this equation came from. It appears to be a way of determining...

I've been able to use the "Area Transformation Method" as shown in MERM page 51-20 to solve various composite structure problems. However, I don't really understand the origins of the method - I can get started by assuming that the strain in the two materials, but I don't understand the part...

I have the 2016 NCEES practice exam for Machine Design and Materials. Problem 112 shows a horizontal shaft that is cantilevered on the left. On the right, there is a spring between the shaft and a wall. The problem is to determine the "increase in force" due to a change in temperature. The...

I am trying to understand the solution presented to this problem. The way I worked through this is as follows: where: The problem I am having is in calculating P_{lat}. Per eq 54.131 in MERM, the lateral shaft load is a function of the lubricant pressure and the "projected shaft area", or...

In example problem 52.5 on page 52-7 of the 13th edition of the MERM, material properties are given for aluminum. In the solution, these same material properties are listed as the 'tensile', ostensibly for the purposes of constructing a Goodman Line. My question: should it be assumed that the...

In the 13th edition of the MERM companion problem books, question number 6 in chapter 51 (page 51-2) asks for the tensile load on a bolt that is holding a steel and aluminum plate when the temperature is raised 250 deg F. In the solution, one of the lines reads "The unrealized elongation of the...

I recently bought the MERM, 13th edition, as well as the practice exam from NCEES. I'm planning to take the Machine Design and Materials exam in October. The idea is to review the appropriate chapters in MERM as well as complete the in-chapter problems. Also, I will work through the sample exam...

I am considering taking the Mechanical PE exam for Machine Design and Materials in October. I graduated in 2011 with an MS in Mechanical Engineering, however I have not been doing very intense engineering work since I graduated. As I look at the three test options available, it seems that the...