xiii
Preface
Reliability-Based Mechanical Design consists of two separate books: Volume 1: Component under
Static Load, and Volume 2: Component under Cyclic Load and Dimension Design with Required
Reliability.
Volume 1 consists of four chapters and Appendix A. ey are:
• Chapter 1: Introduction to Reliability in Mechanical Design;
• Chapter 2: Fundamental Reliability Mathematics;
• Chapter 3: Computational Methods for the Reliability of a Component;
• Chapter 4: Reliability of a Component under Static Load, and,
• Appendix A: Samples of MATLAB Programs.
Volume 2 consists of three chapters and two appendixes. ey are:
• Chapter 1: Introduction and Cyclic Loading Spectrum;
• Chapter 2: Reliability of a Component under Cyclic Load;
• Chapter 3: e Dimension of a Component with Required Reliability;
• Appendix A: ree Computational Methods for the Reliability of a Component; and,
• Appendix B: Samples of MATLAB Programs.
e first book discusses fundamental concepts for implementing reliability in mechanical
design and the reliability of a component under static load. e second book presents more
advanced topics, including the reliability of a component under cyclic load and the dimension
design with required reliability.
Why does a component fail even the factor of safety of a component is more than the
required factor of safety, for example, 2.5? If a component will fail, what is its possible percent-
age of the failure? is book presents how to determine the reliability, and quantitively predict
the percentage of the failures of a component under static load. erefore, we can provide the
reliability and also indicate a possible percentage of failure of a component under static load.
is book is written as a textbook and is based on a series of lecture notes of an elective
course for junior mechanical students. Every topic is discussed in sufficient detail and demon-
strated by many examples so students or design engineers can readily use them in mechanical
xiv PREFACE
design check. At the end of each chapter, there is a wide selection of exercises. is book can
also be used as a reference book for design engineers.
is book consists of four chapters and Appendix A. A concise summary of each chapter
are as follows.
• Chapter 1: Introduction to Reliability in Mechanical Design
is chapter serves as an introduction and will discuss the engineering design process,
failures, and uncertainty in engineering design, reliability definition, and history.
• Chapter 2: Fundamental Reliability Mathematics
is chapter discusses the fundamental concepts and definitions of probabilistic theory
for the preparation of their implementation for mechanical design. is chapter enables
a person without any knowledge of probability theory to use this book to conduct the
reliability-based mechanical design.
• Chapter 3: Computational Methods of the Reliability of a Component
is chapter discusses several computational methods of the reliability of a component
when the limit state function of a component under load is established. ose methods
include the interference method, the First-Order Second-Moment (FOSM) method, the
Hasoder-Lind (H-L) method, the Rachwitz-Fiessler (R-F) method, and the Monte Carlo
method.
• Chapter 4: Reliability of a Component under Static Load
is chapter presents typical limit state functions of a component under each typical static
load and combined load, and further demonstrate how to calculate the reliability of compo-
nents under any type of static loads. Five typical component cases presented in this chapter
include a bar under axial static load, a pin under direct shear static load, a shaft under static
torsion, a beam under static bending moment, and a component under combined static
loads.
• Appendix A: Samples of three MATLAB Programs
Appendix A provides three MATLAB programs as references for calculating the reliability
of a component under static load. ese three samples of MATLAB programs include one
for the Hasoder-Lind (H-L) method, one for the Rachwitz-Fiessler (R-F) method, and
one for the Monte Carlo method.
is book could not have been completed and published without lots of encouragement
and help. First, I sincerely thank Mechanical Department Chairman and Professor Mickael
Jackson at the Wentworth Institute of Technology, whose encouragement motivated me to open
two technical elective courses about the reliability in mechanical engineering. Second, I sincerely
thank Professors Anthony William Duva and Richard L. Roberts for reviewing some of the
PREFACE xv
manuscripts. ird, I sincerely thank Morgan & Claypool Publishers and Executive Editor Paul
Petralia for helping with this publication. Finally, I sincerely thank my lovely wife, Suyan Zou.
Without her support, I could not have completed this book.
Xiaobin Le
October 2019
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