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Book Description

A component will not be reliable unless it is designed with required reliability.

Reliability-Based Mechanical Design uses the reliability to link all design parameters of a component together to form a limit state function for mechanical design. This design methodology uses the reliability to replace the factor of safety as a measure of the safe status of a component. The goal of this methodology is to design a mechanical component with required reliability and at the same time, quantitatively indicates the failure percentage of the component. 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.

This book is Reliability-Based Mechanical Design, Volume 1: Component under Static Load. It begins with a brief discussion on the engineering design process and the fundamental reliability mathematics. Then, the book presents several computational methods for calculating the reliability of a component under loads when its limit state function is established. Finally, the book presents how to establish the limit state functions of a component under static load and furthermore how to calculate the reliability of typical components under simple typical static load and combined static loads. Now, we do know the reliability of a component under static load and can quantitively specify the failure percentage of a component under static load.

The book presents many examples for each topic and provides a wide selection of exercise problems at the end of each chapter. This book is written as a textbook for junior mechanical engineering students after they study the course of Mechanics of Materials. This book is also a good reference book for design engineers and presents design check methods in such sufficient detail that those methods are readily used in the design check of a component under static load.

Table of Contents

  1. Preface
  2. Introduction to Reliability in Mechanical Design
    1. Engineering Design Process
      1. Phase One: Needs Assessment
      2. Phase Two: Design Specifications
      3. Phase Three: Conceptual Design
      4. Phase Four: Detailed Design
      5. Phase Five: Implementation
    2. Failures in Engineering Design
    3. Uncertainty in Engineering
    4. Definition of Reliability
    5. Importance of Reliability
    6. Reliability History
    7. Reliability vs. Factor of Safety
    8. Summary
    9. References
    10. Exercises
  3. Fundamental Reliability Mathematics
    1. Introduction
    2. Experiment, Outcome, Sample Space, and Event
    3. Set Theory
    4. Definition of Probability
      1. Relative Frequency
      2. Axiomatic Definition
    5. Some Basic Operations of Probability
      1. Probability of Mutually Exclusive Events
      2. Probability of an Event in a Finite Sample Space
      3. Probability of Union and Intersection of Two Events
      4. Probability of a Complementary Event
      5. Probability of Statistically Independent Events
      6. Conditional Probability
      7. Total Probability Theorem
      8. Bayes' Rule
    6. Random Variable
    7. Mean, Standard Deviation, and Coefficient of Variance
    8. Histogram
      1. Definition of a Histogram
      2. Histogram by Excel and MATLAB
    9. Probability Functions
      1. Probability Functions of a Continuous Random Variable
      2. Probability Functions of a Discrete Random Variable
    10. Mean of a Random Variable
    11. Standard Deviation and Coefficient of Variance
    12. Some Typical Probability Distributions
      1. Binomial Distribution
      2. Poisson Distribution
      3. Uniform Distribution
      4. Normal Distribution (1/2)
      5. Normal Distribution (2/2)
      6. Log-Normal Distribution
      7. Weibull Distribution
      8. Exponential Distribution
    13. Goodness-of-Fit Test: 2 Test
      1. Introduction
      2. The Chi-Square Test (1/2)
      3. The Chi-Square Test (2/2)
      4. The Chi-Square (2) Goodness-of-Fit Test by the Matlab Program
    14. References
    15. Exercises (1/3)
    16. Exercises (2/3)
    17. Exercises (3/3)
  4. Computational Methods for the Reliability of a Component
    1. Introduction
    2. Limit State Function
    3. Reliability of a Component with Two Random Variables
      1. Interference Method
      2. Computation of Reliability When Both are Normal Distributions
      3. Computation of Reliability When Both are Log-normal Distributions
      4. Computation of Reliability When Both are Exponential Distributions
    4. Reliability Index
    5. The First-Order Second-Moment (FOSM) Method
      1. The FOSM Method for a Linear Limit State Function
      2. The FOSM Method for a Nonlinear State Function
    6. The Hasofer–Lind (H-L) Method (1/2)
    7. The Hasofer–Lind (H-L) Method (2/2)
    8. The Rackwitz and Fiessler (R-F) method (1/2)
    9. The Rackwitz and Fiessler (R-F) method (2/2)
    10. The Monte Carlo Method (1/2)
    11. The Monte Carlo Method (2/2)
    12. Summary
    13. References
    14. Exercises
  5. Reliability of a Component under Static Load
    1. Introduction
    2. Geometric Dimension as a Random Variable
    3. Static Loading as a Random Variable
    4. Mechanical Properties of Materials as Random Variables
    5. Estimation of Some Design Parameters (1/2)
    6. Estimation of Some Design Parameters (2/2)
    7. Reliability of a Rod under Axial Loading
      1. Reliability of a Rod under Axial Loading for a Strength Issue
      2. Reliability of a Rod under Axial Loading for a Deformation Issue (1/2)
      3. Reliability of a Rod under Axial Loading for a Deformation Issue (2/2)
    8. Reliability of a Component under Direct Shearing
    9. Reliability of a Shaft under Torsion
      1. Reliability of a Shaft under Torsion for a Strength Issue
      2. Reliability of a Shaft under Torsion for a Deformation Issue
    10. Reliability of a Beam under Bending Moment
      1. Reliability of a Beam under Bending for a Strength Issue
      2. Reliability of a Beam under Bending for a Deflection Issue
    11. Reliability of a Component under Combined Stresses
      1. Reliability of a Component of Ductile Material under Combined Stresses
      2. Reliability of a Component of Brittle Material under Combined Stresses (1/2)
      3. Reliability of a Component of Brittle Material under Combined Stresses (2/2)
    12. Summary
    13. References
    14. Exercises
  6. Samples of MATLAB®Programs
    1. The H-L Method for Example 3.11
    2. The R-F Method for Example 3.13
    3. The Monte Carlo Method for Example 3.14
  7. Author's Biography
  8. Blank Page (1/3)
  9. Blank Page (2/3)
  10. Blank Page (3/3)
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