Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept

The paper deals with evaluation of bearing capacity of strip foundation on random purely cohesive soil. The approach proposed combines random field theory in the form of random layers with classical limit analysis and Monte Carlo simulation. For given realization of random the bearing capacity of st...

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Main Authors: Kawa Marek, Łydżba Dariusz
Format: Article
Language:English
Published: Sciendo 2015-09-01
Series:Studia Geotechnica et Mechanica
Subjects:
Online Access:https://doi.org/10.1515/sgem-2015-0030
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author Kawa Marek
Łydżba Dariusz
author_facet Kawa Marek
Łydżba Dariusz
author_sort Kawa Marek
collection DOAJ
description The paper deals with evaluation of bearing capacity of strip foundation on random purely cohesive soil. The approach proposed combines random field theory in the form of random layers with classical limit analysis and Monte Carlo simulation. For given realization of random the bearing capacity of strip footing is evaluated by employing the kinematic approach of yield design theory. The results in the form of histograms for both bearing capacity of footing as well as optimal depth of failure mechanism are obtained for different thickness of random layers. For zero and infinite thickness of random layer the values of depth of failure mechanism as well as bearing capacity assessment are derived in a closed form. Finally based on a sequence of Monte Carlo simulations the bearing capacity of strip footing corresponding to a certain probability of failure is estimated. While the mean value of the foundation bearing capacity increases with the thickness of the random layers, the ultimate load corresponding to a certain probability of failure appears to be a decreasing function of random layers thickness.
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spelling doaj.art-22197cbecd7147349b0a103fff08a53b2022-12-21T18:52:53ZengSciendoStudia Geotechnica et Mechanica2083-831X2015-09-01373313910.1515/sgem-2015-0030sgem-2015-0030Evaluation of Bearing Capacity of Strip Footing Using Random Layers ConceptKawa Marek0Łydżba Dariusz1Wrocław University of Technology, Wrocław, PolandWrocław University of Technology, Wrocław, PolandThe paper deals with evaluation of bearing capacity of strip foundation on random purely cohesive soil. The approach proposed combines random field theory in the form of random layers with classical limit analysis and Monte Carlo simulation. For given realization of random the bearing capacity of strip footing is evaluated by employing the kinematic approach of yield design theory. The results in the form of histograms for both bearing capacity of footing as well as optimal depth of failure mechanism are obtained for different thickness of random layers. For zero and infinite thickness of random layer the values of depth of failure mechanism as well as bearing capacity assessment are derived in a closed form. Finally based on a sequence of Monte Carlo simulations the bearing capacity of strip footing corresponding to a certain probability of failure is estimated. While the mean value of the foundation bearing capacity increases with the thickness of the random layers, the ultimate load corresponding to a certain probability of failure appears to be a decreasing function of random layers thickness.https://doi.org/10.1515/sgem-2015-0030random field theoryreliabilitybearing capacityrandom layers conceptkinematic approach
spellingShingle Kawa Marek
Łydżba Dariusz
Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept
Studia Geotechnica et Mechanica
random field theory
reliability
bearing capacity
random layers concept
kinematic approach
title Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept
title_full Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept
title_fullStr Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept
title_full_unstemmed Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept
title_short Evaluation of Bearing Capacity of Strip Footing Using Random Layers Concept
title_sort evaluation of bearing capacity of strip footing using random layers concept
topic random field theory
reliability
bearing capacity
random layers concept
kinematic approach
url https://doi.org/10.1515/sgem-2015-0030
work_keys_str_mv AT kawamarek evaluationofbearingcapacityofstripfootingusingrandomlayersconcept
AT łydzbadariusz evaluationofbearingcapacityofstripfootingusingrandomlayersconcept