Probabilistic Methods in Geotechnical Engineering
Probabilistic Methods in Geotechnical Engineering

Author: D. V. Griffiths

Publisher: Springer Science & Business Media

Published: 2007-12-14

Total Pages: 346

ISBN-13: 3211733663

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Learn to use probabilistic techniques to solve problems in geotechnical engineering. The book reviews the statistical theories needed to develop the methodologies and interpret the results. Next, the authors explore probabilistic methods of analysis, such as the first order second moment method, the point estimate method, and random set theory. Examples and case histories guide you step by step in applying the techniques to particular problems.

Probabilistic Methods in Geotechnical Engineering
Probabilistic Methods in Geotechnical Engineering

Author: K.S. Li

Publisher: CRC Press

Published: 2020-08-19

Total Pages: 611

ISBN-13: 1000150453

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The proceedings of this conference contain keynote addresses on recent developments in geotechnical reliability and limit state design in geotechnics. It also contains invited lectures on such topics as modelling of soil variability, simulation of random fields and probability of rock joints. Contents: Keynote addresses on recent development on geotechnical reliability and limit state design in geotechnics, and invited lectures on modelling of soil variability, simulation of random field, probabilistic of rock joints, and probabilistic design of foundations and slopes. Other papers on analytical techniques in geotechnical reliability, modelling of soil properties, and probabilistic analysis of slopes, embankments and foundations.

Probabilities and Materials
Probabilities and Materials

Author: D. Breysse

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 536

ISBN-13: 9401111421

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Most industrial and natural materials exhibit a macroscopic behaviour which results from the existence of microscale inhomogeneities. The influence of such inhomogeneities is commonly modelled using probabilistic methods. Most of the approaches to the evaluation of the safety of structures according to probabilistic criteria are somewhat scattered, however, and it is time to present such material in a coherent and up-to-date form. Probabilities and Materials undertakes this task, and also defines the great tasks that must be tackled in coming years. For engineers and researchers dealing with materials, geotechnics, solid mechanics, soil mechanics, statistics and stochastic processes. The expository nature of the book means that no prior knowledge of statistics or probability is required of the reader. The book can thus serve as an excellent introduction to the nature of applied statistics and stochastic modelling.

Applications of Probabilistic Methods in Geotechnical Engineering. Part 1. Simplified Reliability Analyses for Geotechnical Problems
Applications of Probabilistic Methods in Geotechnical Engineering. Part 1. Simplified Reliability Analyses for Geotechnical Problems

Author: E Kavazanjian (Jr)

Publisher:

Published: 1983

Total Pages: 46

ISBN-13:

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In this report, several approximate methods for determining the first and second moments of the probability density function of a random design variable have been presented. Once these moments are known, the probability of failure or reliability of the system can be calculated by assuming a distribution shape and using standard probability tables. This technique can be used on a variety of geotechnical problems to transform existing deterministic analyses into probabilistic design analyses. Examples of the application of the methodology developed herein are presented in the areas of shear strength, bearing capacity, and slope stability. The examples are used to illustrate how a reliability type of design analyses might be performed, the influence of the choice of distribution on calculated results, and the contrasts between conventional factor of safety analyses and probabilistic analyses. The point estimate method presented in this report is a simple and powerful tool that can be used in conjunction with any numerical analysis. By identifying the N random variables in a design analysis and assigning to them one sigma bounds to reflect subjective uncertainty or parameter variability, the mean and variances of the design parameters can be estimated from 2 to the nth point estimates. The primary obstacle to successful implementation of the techniques presented in this report is the lack of information on appropriate distribution shapes for various geotechnical design parameters.