Reliability of structures / Andrzej S. Nowak, Kevin R. Collins
- Author:
- Nowak, Andrzej S.
- Published:
- Boca Raton : CRC Press/Taylor & Francis Group, [2013]
- Copyright Date:
- ©2013
- Edition:
- Second edition.
- Physical Description:
- xvi, 391 pages : illustrations ; 24 cm
- Additional Creators:
- Collins, Kevin R.
- Contents:
- Machine generated contents note: 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 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 -- 10.7.Conclusions.
- Subject(s):
- ISBN:
- 9780415675758 (hardcover : alk. paper)
0415675758 (hardcover : alk. paper) - Bibliography Note:
- Includes bibliographical references (pages 375-384) and index.
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