Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory

Determining the ultimate bearing capacity of pile is important for reasonable design of the pile. In this paper, a cusp catastrophe theory-based method was proposed for assessing the ultimate bearing capacity of static loading pile. Firstly, a three-parameter quartic polynomial in accordance with th...

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Main Authors: Jibao Yang, Xing Huang, Hao Ni, Shilong Hao, Fudong Liu, Zhangrong Liu
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2024/3387744
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author Jibao Yang
Xing Huang
Hao Ni
Shilong Hao
Fudong Liu
Zhangrong Liu
author_facet Jibao Yang
Xing Huang
Hao Ni
Shilong Hao
Fudong Liu
Zhangrong Liu
author_sort Jibao Yang
collection DOAJ
description Determining the ultimate bearing capacity of pile is important for reasonable design of the pile. In this paper, a cusp catastrophe theory-based method was proposed for assessing the ultimate bearing capacity of static loading pile. Firstly, a three-parameter quartic polynomial in accordance with the standard form of cusp catastrophe model is proposed and used to fit the experimentally obtained Q–S curve. The parameters which allow the polynomial to produce best fitting to the Q–S curve are taken to identify the stability of the pile following a simple procedure. Then, the proposed method was verified against 10 Q–S curves obtained from field tests at Jinqiao-Meiya and Jinqiao-Chunyu areas of Shanghai. Results show that the ultimate bearing capacities of the piles identified by the proposed method were comparable to those identified by the JGJ 106-2014 standard method. Finally, it is found that the stability of the pile identified by the proposed method and the mechanical state of the pile identified by the Golden Section approach were correlated closely.
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spelling doaj.art-9366dfd1d1744880803bc65212b9a60f2024-03-05T00:00:03ZengHindawi LimitedAdvances in Civil Engineering1687-80942024-01-01202410.1155/2024/3387744Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe TheoryJibao Yang0Xing Huang1Hao Ni2Shilong Hao3Fudong Liu4Zhangrong Liu5Shanghai Municipal Engineering Design Institute (Group) Co., Ltd.Shanghai Municipal Engineering Design Institute (Group) Co., Ltd.Shanghai Municipal Engineering Design Institute (Group) Co., Ltd.Shanghai Municipal Engineering Design Institute (Group) Co., Ltd.Shanghai Municipal Engineering Design Institute (Group) Co., Ltd.Department of Geotechnical EngineeringDetermining the ultimate bearing capacity of pile is important for reasonable design of the pile. In this paper, a cusp catastrophe theory-based method was proposed for assessing the ultimate bearing capacity of static loading pile. Firstly, a three-parameter quartic polynomial in accordance with the standard form of cusp catastrophe model is proposed and used to fit the experimentally obtained Q–S curve. The parameters which allow the polynomial to produce best fitting to the Q–S curve are taken to identify the stability of the pile following a simple procedure. Then, the proposed method was verified against 10 Q–S curves obtained from field tests at Jinqiao-Meiya and Jinqiao-Chunyu areas of Shanghai. Results show that the ultimate bearing capacities of the piles identified by the proposed method were comparable to those identified by the JGJ 106-2014 standard method. Finally, it is found that the stability of the pile identified by the proposed method and the mechanical state of the pile identified by the Golden Section approach were correlated closely.http://dx.doi.org/10.1155/2024/3387744
spellingShingle Jibao Yang
Xing Huang
Hao Ni
Shilong Hao
Fudong Liu
Zhangrong Liu
Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory
Advances in Civil Engineering
title Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory
title_full Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory
title_fullStr Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory
title_full_unstemmed Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory
title_short Assessment of Ultimate Bearing Capacity of Static Loading Pile Based on Cusp Catastrophe Theory
title_sort assessment of ultimate bearing capacity of static loading pile based on cusp catastrophe theory
url http://dx.doi.org/10.1155/2024/3387744
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