Uncertainty is certain to be found in structural engineering, making it crucial to structure design. This book covers three competing philosophies behind structural safety and reliability: probabilistic analysis, fuzzy set-based treatments, and the convex approach.
Explaining the theory behind probabilistic analysis, fuzzy set-based treatments, and the convex approach in detail, alongside their implementation, use, and benefits, the book compares and contrasts these methods, enabling the reader to solve problems associated with uncertainty. These uncertainty issues can be seen in civil engineering structures, risk of earthquakes, impact of rough seas on ships, and turbulence affecting aerospace vehicles. Building on the authors’ many years of experience in the field, Philosophies of Structural Safety and Reliability is an essential guide to structural uncertainty. Topics covered in the book include properties of materials and their structural deterioration, safety factor and reliability, risk evaluation and loads, and their combinations.
This book will be of interest to students and professionals in the fields of aerospace, civil, mechanical, marine, and ocean engineering.
Author(s): Vladimir Raizer, Isaac Elishakof
Publisher: CRC Press
Year: 2022
Language: English
Pages: 286
City: Boca Raton
Cover
Half Title
Title Page
Copyright Page
Table of Contents
Authors
Preface
1 Introduction
Philosophies of Structural Safety and Reliability
2 Historical Notes
2.1 History of Safety Factors
2.2 Development of the Theory of Structural Reliability
2.3 The Connection Between Ancient Sparta and the Failure Rate
3 Safety Factor and Reliability Index
3.1 Features of Failure and Principles of Design
3.2 Safety Factor
3.3 Reliability Index and Partial Factors Method
3.4 Importance Factor
3.5 Concept of Equal Reliability
3.5a Calibration of Model Partial Factor
3.5b Reliability of Transmission Lines
3.6 Development of Reliability-Based Design Approach
4 Evaluation of Failure Probability
4.1 General Comments
4.2 “Hot Point” Method
4.3 Monte-Carlo Method
4.3a Monte-Carlo Technique
4.3b Monte-Carlo Method for Stratified Modeling Samples
4.4 Simulation Method
4.5 Direct Integration of Distribution Function
4.6 Influence of Failure Boundary Curvature On Reliability
4.7 Implementation of Reliability Theory in Structural Design
5 Alternative Definitions of the Fuzzy Safety Factor
5.1 Introductory Comments
5.2 Safety Factor in the Probabilistic Framework
5.3 Safety Factor in the Fuzzy Theory Framework
5.4 Fundamental Problem in the Strength of Materials
5.5 Numerical Examples
5.6 Stability Problem
5.7 Bending Failure of the Beam
5.8 Stability Analysis of the Column
5.9 Fuzzy Sets-Based Approach
6 Convex Models of Uncertainty
6.1 Introductory Comments
6.2 Sensitivity of Failure Probability
6.3 Remarks On Convex Modeling of Uncertainty
6.4 “Worst-Case” Probabilistic Safety Factor
6.5 Which Concept Is More Feasible: Non-Probabilistic Reliability Or Convex Safety Factor?
6.6 Concluding Comments On How to Treat Uncertainty in a Given Situation
7 Systems and Components
7.1 Conditionality of Concept
7.2 Connection of Components in Series
7.3 Parallel Connection of Brittle Components
7.4 Dynamic Effects in Brittle Systems
7.5 Parallel Connection of Plastic Components
7.6 Failure Probability of Multi-Element Systems
7.7 Probabilistic Limit Equilibrium Method
8 Loads and Their Combinations
8.1 Classification
8.2 Statistical Models of Variable Actions
8.3 Climatic Actions On Structures
8.4 Consideration of Random Wind Speed Directions
8.5 Loads On Building Floors
8.6 Combination of Loads as Random Values
8.7 Combination of Extreme Values of Loads
8.8 Combination of Loads in the Form of Markov Process
9 Properties of Materials and Structural Deterioration
9.1 General Comments
9.2 Bayesian Treatment in Analysis of Mechanical Properties
9.3 Smoothing of Experimental Data
9.4 Reliability of Corroding Structures
10 Risk Evaluation and Optimal Probabilistic Design
10.1 Acceptable Risk
10.2 Optimization of Reliability Index
10.3 Optimization of Protected Structures
10.4 Optimization of Multiplex Systems
10.5 Optimal Allocation of Protective Resources of Structures
10.6 Mathematical Model of Public Opinion
11 Natural Disasters and Structural Survivability
11.1 Disaster Prediction Problems
11.2 Statistical Evaluation of Natural Disasters
11.3 Safety Criteria of Unique Structures
11.4 Survivability of Structural Systems
11.5 Stochastic Analysis of Dynamic Instability
11.6 Effects of Uneven Footing Settlement
12 Conclusion
Appendix Definitions for Terms Used in the Book
Bibliography
Author Index
Subject Index
