As the title of this book implies, Marks’ Calculations for Machine Design was written to be a companion to Marks’ Standard Handbook for Mechanical Engineers, providing detailed calculations to the important problems in machine design. For each of the over 175 examples presented, complete solutions are provided, including appropriate figures and diagrams, all algebra and arithmetic steps, and using both the U.S. Customary and SI/Metric systems of units. It is hoped that Marks’ Calculations for Machine Design will provide an enthusiastic beginning for those just starting out in mechanical engineering, as well as provide a comprehensive resource for those currently involved in machine design projects.
Marks’ Calculations for Machine Design is divided into two main parts: Part 1, Strength of Machines, and Part 2, Application to Machines. Part 1 contains seven chapters on the foundational principles and equations of machine design, from basic to advanced, while Part 2 contains three chapters on the most common machine elements based on these principles and equations. Beginning Part 1, Chapter 1, Fundamental Loadings, contains the four foundational loadings: axial, direct shear, torsion, and bending.
Formulas for stress and strain, both normal and shear, along with appropriate examples are presented for each of these loadings. Thermal stress and strain are also covered. Stress-strain diagrams are provided for both ductile and brittle materials, and the three engineering properties, (E), (G), and (ν), are discussed. Chapter 2, Beams, provides the support reactions, shear and bending moment diagrams, and deflection equations for fifteen different beam configurations. There are ten simplysupported beam configurations, from end supported, single overhanging, and double overhanging.
There are five cantilevered beam configurations. Loadings include concentrated forces and couples, as well as uniform and triangular shaped distributed loadings. Almost 45% of the total number of examples and over 30% of the illustrations are in this single chapter. Nowhere is there a more comprehensive presentation of solved beam examples. Chapter 3, Advanced Loadings, covers three such loadings: pressure loadings, to include thin- and thick-walled vessels and press/shrink fits; contact loading, to include spherical and cylindrical geometries; and high-speed rotational loading.
Chapter 4, Combined Loadings, brings the basic and advanced loadings covered in Chapters 1, 2, and 3 together in a discussion of how loadings can be combined. Seven different combinations are presented, along with the concept of a plane stress element. Chapter 5, Principal Stresses and Mohr’s Circle, takes the plane stress elements developed in Chapter 4 and presents the transformation equations for determining the principal stresses, both normal and shear, and the associated rotated stress elements. Mohr’s circle, the graphical representation of these transformation equations, is also presented.
The Mohr’s circle examples provided include multiple diagrams in the solution process, a half dozen on average, so that the reader does not get lost, as typically happens with the more complex single solution diagrams of most other references. Chapter 6, Static Design and Column Buckling, includes two major topics: design under static conditions and the buckling of columns. The section on static design covers both ductile and brittle materials, and a discussion on stress concentration factors for brittle materials with notch sensitivity.