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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Sciendo
2015-09-01
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Series: | Studia Geotechnica et Mechanica |
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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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format | Article |
id | doaj.art-22197cbecd7147349b0a103fff08a53b |
institution | Directory Open Access Journal |
issn | 2083-831X |
language | English |
last_indexed | 2024-12-21T19:23:54Z |
publishDate | 2015-09-01 |
publisher | Sciendo |
record_format | Article |
series | Studia Geotechnica et Mechanica |
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 |