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Reliability of Structures, Second Edition


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Table of Contents

Objectives of the Book
Possible Applications
Historical Perspective
Uncertainties in the Building Process

Random Variables
Basic Definitions
Properties of Probability Functions (CDF, PDF, and PMF)
Parameters of a Random Variable
Common Random Variables
Probability Paper
Interpretation of Test Data Using Statistics
Conditional Probability
Random Vectors
Bayesian Updating

Functions of Random Variables

Linear Functions of Random Variables
Linear Functions of Normal Variables
Product of Lognormal Random Variables
Nonlinear Function of Random Variables
Central Limit Theorem

Simulation Techniques

Monte Carlo Methods
Latin Hypercube Sampling
Rosenblueth's 2K + 1 Point Estimate Method

Structural Safety Analysis

Limit states
Fundamental Case
Reliability Index
Rackwitz-Fiessler Procedure
Reliability Analysis Using Simulation

Structural Load Models

Types of Load
General Load Models
Dead Load
Live Load in Buildings
Live Load for Bridges
Environmental Loads
Load Combinations

Models of rResistance

Parameters of Resistance
Steel Components
Aluminum Structures
Reinforced and Prestressed Concrete Components
Wood Components

Design Codes

Role of a Code in the Building Process
Code Levels
Code Development Procedure
Calibration of Partial Safety Factors for a Level I Code
Development of a Bridge Design Code
Example of the Code Calibration-ACI 318
Concluding Remarks

System Reliability

Elements and Systems
Series and Parallel Systems
Reliability Bounds for Structural Systems
Systems with Equally Correlated Elements
Systems with Unequally Correlated Elements

Uncertainties in the Building Process

Classification of Errors
Error Surveys
Approach to Errors
Sensitivity Analysis
Other Approaches
Appendix A: Acronyms
Appendix B: Values of the CDF (z) for the Standard Normal Probability Distribution
Appendix C: Values of the Gamma Function

About the Author

Andrzej S. Nowak is Robert W. Brightfelt Professor of Engineering at the University of Nebraska, USA. He has received the ASCE Moisseiff Award, the IFIP WG 7.5 Award, the Bene Merentibus Medal, and the Kasimir Gzowski Medal from the Canadian Society of Civil Engineers. Kevin R. Collins is an Associate Professor at Valley Forge Military College, USA.


"This is a great book ... easy to teach from; students can readily learn the theory from its beginnings to its practical applications; it is a course topic that will be of great value in understanding structural design during the professional life of the engineer; it is an invaluable tool to guide in the development of national design standards such as the AASHTO bridge design specification; it is logical and it is fun to go back to time and again."
-Theodore V. Galambos, Emeritus Professor, University of Minnesota

"... a must read for any engineer working in the civil engineering structures arena. ... provides the necessary knowledge to give structural engineers the tools they need to make better designs a priori and determine structural failures a posteriori."
-Andrew D. Sorensen, Ph.D., Idaho State University,

"Compared to other textbooks in this area, Reliability of Structures is particularly easy to understand. ... ideal for a first course in this topic, or if the classroom contains undergraduate students who might be otherwise lost in an advanced theoretical presentation. A particular strength is its discussion of design code development and calibration, perhaps the most important application of reliability analysis in structural engineering."
-Christopher Eamon, Wayne State University

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