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Available4.4
18 reviews
ISBN 10: 0415675758
ISBN 13: 9780203809143
Author: Andrzej S Nowak, Kevin R Collins
Chapter 1: Introduction
1.1 Overview
1.2 Objectives of the Book
1.3 Possible Applications
1.4 Historical Perspective
1.5 Uncertainties in the Building Process
Chapter 2: Random Variables
2.1 Basic Definitions
2.1.1 Sample Space and Event
2.1.2 Axioms of Probability
2.1.3 Random Variable
2.1.4 Basic Functions
2.2 Properties of Probability Functions (CDF, PDF, and PMF)
2.3 Parameters of a Random Variable
2.3.1 Basic Parameters
2.3.2 Sample Parameters
2.3.3 Standard Form
2.4 Common Random Variables
2.4.1 Uniform Random Variable
2.4.2 Normal Random Variable
2.4.3 Lognormal Random Variable
2.4.4 Gamma Distribution
2.4.5 Extreme Type I (Gumbel Distribution, Fisher–Tippett Type I)
2.4.6 Extreme Type II
2.4.7 Extreme Type III (Weibull Distribution)
2.4.8 Poisson Distribution
2.5 Probability Paper
2.6 Interpretation of Test Data Using Statistics
2.7 Conditional Probability
2.8 Random Vectors
2.9 Correlation
2.9.1 Basic Definitions
2.9.2 Statistical Estimate of the Correlation Coefficient
2.10 Bayesian Updating
2.10.1 Bayes’ Theorem
2.10.2 Applications of Bayes’ Theorem
2.10.3 Continuous Case
Problems
Chapter 3: Functions of Random Variables
3.1 Linear Functions of Random Variables
3.2 Linear Functions of Normal Variables
3.3 Product of Lognormal Random Variables
3.4 Nonlinear Function of Random Variables
3.5 Central Limit Theorem
3.5.1 Sum of Random Variables
3.5.2 Product of Random Variables
Problems
Chapter 4: Simulation Techniques
4.1 Monte Carlo Methods
4.1.1 Basic Concept
4.1.2 Generation of Uniformly Distributed Random Numbers
4.1.3 Generation of Standard Normal Random Numbers
4.1.4 Generation of Normal Random Numbers
4.1.5 Generation of Lognormal Random Numbers
4.1.6 General Procedure for Generating Random Numbers from an Arbitrary Distribution
4.1.7 Accuracy of Probability Estimates
4.1.8 Simulation of Correlated Normal Random Variables
4.2 Latin Hypercube Sampling
4.3 Rosenblueth’s 2K + 1 Point Estimate Method
Problems
Chapter 5: Structural Safety Analysis
5.1 Limit States
5.1.1 Definition of Failure
5.1.2 Limit State Functions (Performance Functions)
5.2 Fundamental Case
5.2.1 Probability of Failure
5.2.2 Space of State Variables
5.3 Reliability Index
5.3.1 Reduced Variables
5.3.2 General Definition of the Reliability Index
5.3.3 First-order, Second-moment Reliability Index
5.3.3.1 Linear Limit State Functions
5.3.3.2 Nonlinear Limit State Functions
5.3.4 Comments on the First-order, Second-moment Mean Value Index
5.3.5 Hasofer–Lind Reliability Index
5.4 Rackwitz–Fiessler Procedure
5.4.1 Modified Matrix Procedure
5.4.2 Graphical Procedure
5.4.3 Correlated Random Variables
5.5 Reliability Analysis Using Simulation
Problems
Chapter 6: Structural Load Models
6.1 Types of Load
6.2 General Load Models
6.3 Dead Load
6.4 Live Load in Buildings
6.4.1 Design (Nominal) Live Load
6.4.2 Sustained (Arbitrary Point-in-Time) Live Load
6.4.3 Transient Live Load
6.4.4 Maximum Live Load
6.5 Live Load for Bridges
6.6 Environmental Loads
6.6.1 Wind Load
6.6.2 Ice Load
6.6.3 Snow Load
6.6.4 Earthquake
6.7 Load Combinations
6.7.1 Time Variation
6.7.2 Borges Model for Load Combination
6.7.3 Turkstra’s Rule
6.7.4 Load Coincidence Method
6.7.4.1 Poisson Pulse Processes
6.7.4.2 Combinations of Poisson Pulse Processes
Problems
Chapter 7: Models of Resistance
7.1 Parameters of Resistance
7.2 Steel Components
7.2.1 Hot-rolled Steel Beams (Noncomposite Behavior)
7.2.2 Composite Steel Girders
7.2.3 Shear Capacity of Steel Beams
7.2.4 Steel Columns
7.2.5 Cold-formed Members
7.3 Aluminum Structures
7.4 Reinforced and Prestressed Concrete Components
7.4.1 Concrete Elements in Buildings
7.4.2 Concrete Elements in Bridges
7.4.2.1 Moment Capacity
7.4.2.2 Shear Capacity
7.4.3 Resistance of Components with High-strength Prestressing Bars
7.5 Wood Components
7.5.1 Basic Strength of Material
7.5.2 Flatwise Use Factor
7.5.3 Resistance of Structural Components
Chapter 8: Design Codes
8.1 Overview
8.2 Role of a Code in the Building Process
8.3 Code Levels
8.4 Code Development Procedure
8.4.1 Scope of the Code
8.4.2 Code Objective
8.4.3 Demand Function and Frequency of Demand
8.4.4 Closeness to the Target (Space Metric)
8.4.5 Code Format
8.5 Calibration of Partial Safety Factors for a Level I Code
8.6 Development of a Bridge Design Code
8.6.1 Scope
8.6.2 Objectives
8.6.3 Frequency of Demand
8.6.4 Target Reliability Level
8.6.5 Load and Resistance Factors
8.7 Example of the Code Calibration—ACI 318
8.7.1 Scope
8.7.2 Calibration Procedure
8.7.3 Reliability Analysis
8.7.4 Target Reliability Index
8.7.5 Results of Reliability Analysis
8.8 Concluding Remarks
Problems
Chapter 9: System Reliability
9.1 Elements and Systems
9.2 Series and Parallel Systems
9.2.1 Series Systems
9.2.2 Parallel Systems
9.2.2.1 Parallel Systems with Perfectly Ductile Elements
9.2.2.2 Parallel Systems with Brittle Elements
9.2.3 Hybrid (Combined) Systems
9.3 Reliability Bounds for Structural Systems
9.3.1 Boolean Variables
9.3.2 Series Systems with Positive Correlation
9.3.3 Parallel Systems with Positive Correlation
9.3.4 Ditlevsen Bounds for a Series System
9.4 Systems with Equally Correlated Elements
9.4.1 Series Systems with Equally Correlated Elements
9.4.2 Parallel Systems with Equally Correlated Ductile Elements
9.5 Systems with Unequally Correlated Elements
9.5.1 Parallel System with Ductile Elements
9.5.2 Series System
9.6 Summary
Problems
Chapter 10: Uncertainties in the Building Process
10.1 Introduction
10.1.1 Human Error
10.1.2 Categories of Uncertainty
10.1.3 Theoretical and Actual Failure Rates
10.1.4 Previous Research
10.2 Classification of Errors
10.3 Error Surveys
10.4 Approach to Errors
10.5 Sensitivity Analysis
10.5.1 Procedure
10.5.2 Bridge Slab
10.5.3 Beam-to-Column Connection
10.5.4 Timber Bridge Deck
10.5.5 Partially Rigid Frame Structure
10.5.6 Rigid Frame Structure
10.5.7 Noncomposite Steel Bridge Girder
10.5.8 Composite Steel Bridge Girder
10.5.9 Reinforced Concrete T-beam
10.5.10 Prestressed Concrete Bridge Girder
10.5.11 Composite Steel Bridge System
10.6 Other Approaches
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Tags: Andrzej S Nowak, Kevin R Collins, Structures
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