Page 15 - Marks Calculation for Machine Design

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PREFACE

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,directshear,torsion,andbending.Formulasforstressandstrain,bothnormal
andshear,alongwithappropriate examplesare presentedfor eachof 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 simply-
supported beam configurations, from end supported, single overhanging, and double over-
hanging. 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 devel-
oped 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 fac-
tors for brittle materials with notch sensitivity. In the discussion on ductile materials, the

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