In this book we strive to deal comprehensively with issues relevant to students, professionals, and society. There are several target for this book. The book addresses issues that will be of interest to advanced undergraduate and graduate students and practicing engineers in all engineering disciplines who use the finite element method to analyze structures. As stated earlier, the state of the art in deterministic finite element analysis is very advanced.

    Considering uncertainty in the problem is a natural extension of the concept, and will be of interest to researchers working to advance the deterministic finite element concept. It will also be of interest to the general risk and reliability research community, since it is another powerful and robust reliability method that can be used for both implicit and explicit performance functions. The material is presenter in a simple manner with many examples, and the presentation is based on long experience in dealing with students and practicing engineers on safety-related issues.

1. Basic Concept of Realiability
2. Comminly Used Probability Distributions
3. Fundamentals Of Reliability Analysis
4. Simulation Techniques
5. Implicit Performance Functions: Introduction to SFEM
6. SFEM for Linear Static Problems
7. SFEM for Spatial Variability Problems
8. SFEM-Bsaed Reliability Evaluation of Nonlinear Two-and Three-Dimensional Structiures
9. Structures under Dynamic Loading

Appendix 1 Table of Cumulative Standard Norman Distribution
Appendix 2 Evaluation o fGamma Function
Appendix 3 Gram-Schmidt Orthogonalization
Appendix 4 Cnversion Factors
Index