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Structural Reliability

Reliability is commonly referred to as the probability of a device which is performing its purpose adequately for an instance of time intended under the operating conditions. There are four fundamental elements in the definition to be considered. Probability which is defined as the chance that a device or a component will work properly which implies of some degree of uncertainty. Adequate performance refers to determine whether a component has performed adequately. Intended time period of is the mission endurance or lifetime of the structure
under consideration. The operating conditions which refers to the environmental conditions that plays a large role in reliability of composite materials, particularly polymer matrix composites. Structural reliability is a yardstick of the capability of a structure to operate without failure when put into service. Structural reliability also includes events that are related to safety and non-safety.

Structural reliability is not routinely analyzed or quantified in the design process. Reliability was accounted for tacitly by the factor-of-safety approach to design. The reliability assessment is usually conducted after a drawing is produced and bears little relationship to the structural margin-of-safety.The primary purpose for establishing a factor-of-safety for design is to ensure safety. Static strength, Environmental effects, Fatigue are some of the factors affecting the structural reliability. Damage tolerance structural reliability is being increasingly emphasized.

Some important topics of structural reliability are as follows:-

  • Stochastic modeling of structural strength and stiffness,
  • Loads and load combinations,
  • Reliability of structural elements and systems,
  • Time-dependent reliability,
  • probability-based codified design.
Principles of Structural Safety
 
  • Fundamentals of Probability Theory,Univariate and multivariate probability distributions,Correlation,Bayesian inference,Probabilistic transformations,Combinations of random variables,
  • Reliability Theory,Specification of limit-state functions,Cornell reliability index,Hasofer & Lind reliability index,Rosenblatt & Nataf transformations,Design points, FORM, SORM, linear and nonlinear limit state functions
  • Simulation techniques,Crude Monte Carlo, Latin Hypercube sampling, Importance sampling, ,System Reliability,Series systems, parallel systems, and k-out-of-n systems,Structure functions, cut sets and path sets,
  • Correlated modes of failure,Failure domains for systems,Probabilistic formulations in codes, partial factors, safety factors, combination factors, loading, ,levels,Prescriptions for robustness and progressive collapse
  • Life-cycle Analysis,Time-value of money,Cost-benefit analysis,Decision theory,Reliability profiles,Time-controlled and reliability controlled maintenance strategies,Time-dependent capacity and loading,
  • time-dependent reliability formulation, ,probability theory,Statistical properties of structural materials, members and loads,Structural reliability assessment for components and systems
  • Integration and simulation methods,Second-moment and transformation methods,Codes and structural reliability,Software application,Theory and Application of Structural Reliability
  • MATLAB,Reliability,definitions and rules of probability,Random variables,Probability functions,Expectation and statistical moments,Moment generating functions,Probability of failure
  • Statistics of the extremes,Gumbel and Weibull distribution,First order second moment methods,Linear performance functions,Non-linear performance functions,LRFD code calibration,Applications to bridges,Applications to woodframe structures,Application to structural dynamics problems,Performance-Based Design for wind and seismic loads

Few Topics are:

  • probability theory and stochastic processes
  • statistical analysis of engineering data
  • probabilistic modeling of structural loads
  • material properties
  • Reliability analysis and design of structure
  • reliability-based design criteria
  • Evaluation of existing design codes
  • Safety analysis
  • Fault and event tree analysis.

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