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Reliability Coupled Sensitivity Based Design Approach for Gravity Retaining Walls

Reliability Coupled Sensitivity Based Design Approach for Gravity Retaining Walls Sensitivity analysis involving different random variables and different potential failure modes of a gravity retaining wall focuses on the fact that high sensitivity of a particular variable on a particular mode of failure does not necessarily imply a remarkable contribution to the overall failure probability. The present paper aims at identifying a probabilistic risk factor (R f ) for each random variable based on the combined effects of failure probability (P f ) of each mode of failure of a gravity retaining wall and sensitivity of each of the random variables on these failure modes. P f is calculated by Monte Carlo simulation and sensitivity analysis of each random variable is carried out by F-test analysis. The structure, redesigned by modifying the original random variables with the risk factors, is safe against all the variations of random variables. It is observed that R f for friction angle of backfill soil (φ 1 ) increases and cohesion of foundation soil (c 2 ) decreases with an increase of variation of φ 1 , while R f for unit weights (γ 1 and γ 2 ) for both soil and friction angle of foundation soil (φ 2 ) remains almost constant for variation of soil properties. The results compared well with some of the existing deterministic and probabilistic methods and found to be cost-effective. It is seen that if variation of φ 1 remains within 5 %, significant reduction in cross-sectional area can be achieved. But if the variation is more than 7–8 %, the structure needs to be modified. Finally design guidelines for different wall dimensions, based on the present approach, are proposed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of The Institution of Engineers (India): Series A Springer Journals

Reliability Coupled Sensitivity Based Design Approach for Gravity Retaining Walls

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Publisher
Springer Journals
Copyright
Copyright © 2013 by The Institution of Engineers (India)
Subject
Engineering; Civil Engineering
ISSN
2250-2149
eISSN
2250-2157
DOI
10.1007/s40030-013-0023-1
Publisher site
See Article on Publisher Site

Abstract

Sensitivity analysis involving different random variables and different potential failure modes of a gravity retaining wall focuses on the fact that high sensitivity of a particular variable on a particular mode of failure does not necessarily imply a remarkable contribution to the overall failure probability. The present paper aims at identifying a probabilistic risk factor (R f ) for each random variable based on the combined effects of failure probability (P f ) of each mode of failure of a gravity retaining wall and sensitivity of each of the random variables on these failure modes. P f is calculated by Monte Carlo simulation and sensitivity analysis of each random variable is carried out by F-test analysis. The structure, redesigned by modifying the original random variables with the risk factors, is safe against all the variations of random variables. It is observed that R f for friction angle of backfill soil (φ 1 ) increases and cohesion of foundation soil (c 2 ) decreases with an increase of variation of φ 1 , while R f for unit weights (γ 1 and γ 2 ) for both soil and friction angle of foundation soil (φ 2 ) remains almost constant for variation of soil properties. The results compared well with some of the existing deterministic and probabilistic methods and found to be cost-effective. It is seen that if variation of φ 1 remains within 5 %, significant reduction in cross-sectional area can be achieved. But if the variation is more than 7–8 %, the structure needs to be modified. Finally design guidelines for different wall dimensions, based on the present approach, are proposed.

Journal

Journal of The Institution of Engineers (India): Series ASpringer Journals

Published: Apr 24, 2013

References