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## Book Description

In the structural design of airframes and buildings, probability-based procedures are used to mitigate the risk of failure as well as produce cost-effective designs. This book introduces the subject of probabilistic analysis to structural and fire protection engineers and can also be used as a reference to guide those applying this technology. In addition to providing an understanding of how fire affects structures and how to optimize the performance of structural framing systems, Probability-Based Structural Fire Load provides guidance for design professionals and is a resource for educators. The goal of this book is to bridge the gap between prescriptive and probability-based performance design methods and to simplify very complex and comprehensive computer analyses to the point that stochastic structural fire loads have a simple, approximate analytical expression that can be used in structural analysis and design on a day-to-day basis. Numerous practical examples are presented in step-by-step computational form.

1. Coverpage
2. Half title page
3. Dedication
4. Title page
6. Contents
7. Foreword by William F. Baker
8. Preface
9. Acknowledgments
10. 1 Introduction
1. 1.1 Deterministic Approach to Structural Fire Protection Engineering
2. 1.2 Probability-Based Approach
3. 1.3 Probability-Based Structural Fire Load as a Stochastic Process
4. References
11. 2 Introduction to Probability Theory
1. 2.1 Random Variables: Definition of a Probability
2. 2.2 Complete Probability Formula
3. Exercise 2.14 Moving Fire
4. Exercises 2.15 through 2.22
5. 2.3 Probability Distributions – Concept of Random Variable
6. Exercises 2.23 through 2.33
7. Exercises 2.34 through 2.38
8. 2.4 Continuous Probability Distributions
9. Exercises 2.39 through 2.42
10. 2.5 Joint Probability Distribution
11. 2.6 Characteristic Functions
12. 2.7 Functions of Random Variables and Their Distribution
13. Exercises 2.43 through 2.45
14. Exercise 2.46
15. 2.8 Confidence Interval
16. Exercise 2.47
17. References
12. 3 Random Processes
1. 3.1 Definitions
2. 3.2 Properties and Estimations
3. 3.3 Stationary Random Processes
4. Exercise 3.1
5. Exercises 3.2 and 3.3
6. 3.4 Power Spectrum
7. Exercises 3.4 through 3.12
8. 3.5 Exponential Distribution Flow
9. Exercises 3.13 through 3.15
10. 3.6 Poisson Distribution
11. 3.7 Erlang Distribution
12. 3.8 Markov Process: A Class of Random Processes
13. 3.8.1 Definitions
14. 3.8.2 Queuing Theory (Markov Chain)
15. Exercises 3.16 through 3.25
16. References
13. 4 Very Fast Fire Severity: Probabilistic Structural Fire Resistance Design
14. 5 Fast Fire and Life-Cycle Cost Analysis
15. 6 Medium Fire Severity and Thermal Diffusivity Analysis
1. 6.1 Introduction
2. 6.2 Medium Fire: Maximum Temperature Statistical Data (0.175 < γ < 0.275)
3. 6.3 Reliability Index β
4. Example 6.1
5. 6.4 Confidence Interval – Dimensionless Parameter “γ”
6. 6.5 Random Variable “τmax”: Confidence Interval (Dimensionless Time “τmax”)
7. 6.6 Structural Failures in Time
8. 6.7 Spectral Function
9. 6.8 The First-Occurrence Time Problem and the Probability Density P (a, t)
10. 6.9 Probability-Based Thermal Analyses
11. 6.10 Definitions of Random Fire Rating and Practical Applications
12. References
16. 7 Slow Fire Severity and Structural Analysis/Design
17. Annex 1
18. Annex 2
19. Annex 3
20. Annex 4
21. Index