SOLUTIONS MANUAL RELIABILITY ENGINEERING SINGIRESU S. RAO University of Miami March 2014 i ---------------------------------------------------------------------- To Lord Sri Venkateswara ii Contents Preface, Errata, and Answers to Review Questions 1 – 34 1. Introduction 1-1 – 1-34 2. Basic Probability Theory 2-1 – 2-52 3. Random Variables and Probability Distributions 3-1 – 3-81 4. Extremal Distributions 4-1 – 4-63 5. Functions of Random Variables 5-1 – 5-36 6. Time-Dependent Reliability of Components and Systems 6-1 – 6-55 7. Modeling of Geometry, Material Strength, and Loads 7-1 – 7-19 8. Strength-Based Reliability 8-1 – 8-47 9. Design of Mechanical Components and Systems 9-1 – 9-30 10. Monte Carlo Simulation 10-1 – 10-30 11. Reliability-Based Optimum Design 11-1 – 11-19 12. Failure Modes, Event-Tree and Fault-Tree Analyses 12-1 – 12-12 13. Reliability Testing 13-1 – 13-18 14. Quality Control and Reliability 14-1 – 14-18 15. Maintainability and Availability 15-1 – 15-10 16. Warranties 16-1 – 16-21 iv