Probabilistic Methods in Geotechnical Engineering 1st Edition by D V Griffiths, G A Fenton ISBN 9783211733653 by D. V. Griffiths, G. A. Fenton 3211733655 instant download after payment.

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ISBN 13: 9783211733653
Author: D V Griffiths, G A Fenton

Soils and rocks are among the most variable of all engineering materials, and as such are highly amenable to a probabilistic treatment. The application of statistical and probabilistic concepts to geotechnical analysis is a rapidly growing area of interest for both academics and practitioners. The book is therefore aimed at students, researchers, and practitioners of geotechnical engineering who wish to keep abreast of developments in this evolving field of study. The course content and will assume no more that an introductory understanding of probability and statistics on the part of the course participants.

The main objective is to present a state-of-the-art training on probabilistic techniques applied to geotechnical engineering in relation to both theory and practice.

Probabilistic Methods in Geotechnical Engineering 1st Table of contents:

Part I: Fundamentals of Probability and Statistics for Geotechnical Applications

• Chapter 1: Introduction to Uncertainty in Geotechnical Engineering
  • Sources of Uncertainty: Natural Variability, Measurement Error, Transformation Uncertainty, Model Uncertainty
  • The Need for Probabilistic Methods: Beyond Deterministic Approaches
  • Basic Concepts of Reliability and Risk
• Chapter 2: Basic Probability Theory
  • Events, Sample Space, and Probability Axioms
  • Conditional Probability and Bayes' Theorem
  • Random Variables: Discrete and Continuous
  • Probability Distribution Functions (PDFs) and Cumulative Distribution Functions (CDFs)
  • Moments of Random Variables: Mean, Variance, Skewness, Kurtosis
• Chapter 3: Common Probability Distributions in Geotechnical Engineering
  • Normal (Gaussian) Distribution
  • Lognormal Distribution
  • Beta Distribution
  • Gamma Distribution
  • Weibull Distribution
  • Fitting Distributions to Geotechnical Data
• Chapter 4: Statistical Characterization of Geotechnical Properties
  • Sampling Strategies and Data Collection
  • Estimation of Population Parameters: Point and Interval Estimates
  • Hypothesis Testing
  • Correlation and Regression Analysis of Geotechnical Data

Part II: Reliability Analysis in Geotechnical Engineering

• Chapter 5: Fundamentals of Reliability Analysis
  • Definition of Limit State Function and Performance Function
  • Probability of Failure and Reliability Index
  • First-Order Reliability Method (FORM): Hasofer-Lind Index, Equivalent Normalization
  • Second-Order Reliability Method (SORM)
• Chapter 6: Monte Carlo Simulation and Advanced Sampling Techniques
  • Direct Monte Carlo Simulation
  • Variance Reduction Techniques: Importance Sampling, Latin Hypercube Sampling
  • Subset Simulation and Line Sampling
  • Application to Complex Geotechnical Systems
• Chapter 7: System Reliability in Geotechnics
  • Series and Parallel Systems
  • Conditional Reliability
  • Reliability of Redundant Systems
  • Application to Slope Stability and Foundation Systems

Part III: Probabilistic Design and Analysis of Geotechnical Structures

• Chapter 8: Probabilistic Bearing Capacity of Shallow Foundations
  • Uncertainties in Soil Strength and Load Parameters
  • Reliability-Based Design for Ultimate Limit States
  • Probabilistic Settlement Analysis
• Chapter 9: Probabilistic Design of Deep Foundations
  • Axial and Lateral Pile Capacity Uncertainties
  • Reliability Analysis of Single Piles and Pile Groups
  • Load and Resistance Factor Design (LRFD) Calibration
• Chapter 10: Probabilistic Slope Stability Analysis
  • Random Field Representation of Soil Properties in Slopes
  • Probabilistic Methods for Planar, Wedge, and Circular Failures
  • Spatial Averaging and Its Impact on Reliability
• Chapter 11: Probabilistic Analysis of Retaining Structures and Earth Pressure
  • Uncertainties in Soil-Structure Interaction
  • Reliability of Gravity Walls, Cantilever Walls, and Anchored Walls
  • Probabilistic Assessment of Active and Passive Earth Pressures
• Chapter 12: Probabilistic Ground Improvement and Site Characterization
  • Uncertainties in Improvement Effectiveness
  • Reliability of Compacted Fills and Reinforced Earth Structures
  • Probabilistic Site Characterization and In-Situ Testing Data Interpretation

Part IV: Advanced Topics and Applications

• Chapter 13: Bayesian Methods in Geotechnical Engineering
  • Updating Probabilities with New Information
  • Bayesian Inference for Geotechnical Parameters
  • Bayesian Networks for System Modeling
  • Observational Method and Bayesian Updating
• Chapter 14: Spatial Variability and Random Field Theory
  • Geostatistical Concepts: Variograms and Covariance Functions
  • Modelling Spatial Variability of Soil Properties
  • Stochastic Finite Element Methods in Geotechnics
  • Impact of Spatial Correlation on Reliability
• Chapter 15: Geotechnical Risk Assessment and Management
  • Defining Risk in Geotechnical Projects
  • Risk Assessment Frameworks (Qualitative and Quantitative)
  • Risk Mitigation Strategies
  • Decision Making Under Uncertainty
• Chapter 16: Probabilistic Seismic Geotechnical Engineering (if applicable)
  • Seismic Hazard Analysis and Ground Motion Variability
  • Probabilistic Liquefaction Potential Assessment
  • Reliability of Foundations and Slopes under Seismic Loading

Part V: Computational Tools and Case Studies

• Chapter 17: Software for Probabilistic Geotechnical Analysis
  • Overview of Available Software Packages (Commercial and Open-Source)
  • Practical Examples and Workflow Integration
• Chapter 18: Case Studies and Practical Applications
  • Real-World Examples of Probabilistic Design in Foundations
  • Reliability Assessment of Major Geotechnical Projects
  • Lessons Learned from Probabilistic Implementations

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