Chapter
Sep 6, 2024
Chapter 4

Monte Carlo Simulation

Publication: Theory Manual for the Load Displacement Compatibility Method (LDC) for Design of Column-Supported Embankments: A Companion to GeogridBridge 3.0

Abstract

To address soil parameter uncertainty and variability, GeoGridBridge3 (GGB3) includes a probabilistic analysis capability that utilizes a Monte Carlo simulation (MCS). The MCS is used to model the probability of an outcome based on the uncertainty of any number of variables. Another advantage of an MCS is that it enables the direct analysis of parameter distributions. Because soil parameters are subject to high levels of uncertainty and variability, an MCS is a common tool for reliability analyses in geotechnical engineering. Because of the complex nature of the LDC methodology, the MCS approach to evaluating the probability of an undesired condition is illustrated using the example of the short-term stability of a vertical cut in saturated clay in lieu of a CSE design. An important note is that the smallest probability of failure observable by an MCS depends on the number of iterations performed.

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References

Baecher, G. B., and J. T. Christian. 2003. Reliability and statistics in geotechnical engineering. New York: Wiley.
McGuire, M. P., J. A. Sloan, and D. R. VandenBerge. 2018. “Application of reliability analyses for serviceability design of column-supported embankments.” In Proc., Int. Foundation Congress and Equipment Expo, 352–361. Reston, VA: ASCE.
Sleep, M., and J. M. Duncan. 2014. CGPR #76: Manual for geotechnical engineering reliability calculations. 2nd ed. Blacksburg, VA: Virginia Tech Center for Geotechnical Practice and Research.
Sleep, M., and M. P. McGuire. 2015. “Quantitative comparison of direct Monte Carlo simulation to simplified reliability approaches for evaluating the stability of unreinforced slopes.” In Proc., Int. Foundation Congress and Equipment Expo, 1915–1925. Reston, VA: ASCE

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Go to Theory Manual for the Load Displacement Compatibility Method (LDC) for Design of Column-Supported Embankments
Theory Manual for the Load Displacement Compatibility Method (LDC) for Design of Column-Supported Embankments: A Companion to GeogridBridge 3.0
Pages: 35 - 38
ISBN (Online): 978-0-7844-8562-0

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Published online: Sep 6, 2024

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Michael P. McGuire, Ph.D., P.E.
Joel A. Sloan, Ph.D., P.E.

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