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Reliability-based Design and Analysis of Deep Foundations at the Service Limit State

Reliability-based Design and Analysis of Deep Foundations at the Service Limit State
Author: Lance Alan Roberts
Publisher:
Total Pages: 414
Release: 2006
Genre: Foundations
ISBN:

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The analysis of deep foundations at the service limit state is important when foundation settlements are critical to the operation of a structure. The "t-z" method is a widely used soil-structure interaction model for the analysis of deep foundation settlement. In current practice, nominal values of soil-structure interface stiffness and strength parameters are used to determine the deep foundation settlement based on the "t-z" method. However, the nominal magnitude and variability of these parameters can vary from one designer or site to another, thus making the settlement results somewhat subjective. By considering reliability-based design principals, probabilistic relationships can be rationally incorporated into the settlement analysis of deep foundations, and thus, design uncertainty can be quantified. Along this approach, Load and Resistance Factor Design (LRFD) procedures may be utilized to develop resistance factors for use in design. Utilizing a "t-z" model and the Monte Carlo simulation process, various types of probabilistic solutions are developed for deep foundation axial capacity at the service limit state. To model the soil-structure interaction, ideal elasto-plastic and hyperbolic load displacement behavior of the soil-structure interface is considered for both total stress (undrained) and effective stress (drained) analyses. Consequently, resistance factors, appropriate for design in AASHTO LRFD applications, are calculated utilizing the developed probabilistic load capacity relationships for deep foundations. A parametric study is completed, in which the geometry of the deep foundation element and the soil-structure interface parameters are varied to understand their effect on the magnitude of the resistance factors. Finally, load displacement data for a series of micropile pullout tests is utilized to demonstrate and validate the developed service limit state probabilistic design approach for standard deep foundation design.


A Methodology to Incorporate Load Tests Into the Reliability-based Design of Deep Foundations for the Serviceability Limit State

A Methodology to Incorporate Load Tests Into the Reliability-based Design of Deep Foundations for the Serviceability Limit State
Author: Faisal Mohammed Alotaibi
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN:

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The evaluation of the serviceability performance of foundations is important for the geotechnical design. This thesis provides framework to perform reliability analysis for the serviceability design of foundations and implements it on a case study for design of tall towers in Saudi Arabia. First, different prediction models for axial displacement such as t-z analysis and finite element models were examined. Then, a reliability model is proposed that captures both the epistemic and aleatory uncertainties in the predicted settlement. Furthermore, since there are few if any formulations for reliability analysis for serviceability limit state in current LRFD design codes, the accepted level of risk of a serviceability failure is evaluated on the basis of risk and decision analysis. In addition, a methodology is proposed to utilize the proof load tests in the field to update the probability of failure based on the Bayesian technique. Finally, a framework for planning for a proof load test program is provided using Monte Carlo simulations. The results shows the importance of the underlying assumptions in the settlement prediction models. Also, the case study shows that the probability of serviceability failure is reduced when there is an increase in the soil stiffness. Moreover, the results show the significance of obtaining a load-displacement curve from the field and how it contributes to reducing the epistemic uncertainty. The importance of defining the amount of deformation that is problematic to the structure is stressed


Ultimate and Serviceability Limit State Reliability-based Axial Capacity of Deep Foundations

Ultimate and Serviceability Limit State Reliability-based Axial Capacity of Deep Foundations
Author: Seth C. Reddy
Publisher:
Total Pages: 409
Release: 2014
Genre: Axial loads
ISBN:

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Deep foundations are necessary for the construction of many structures, such as bridges and buildings, located in areas unsuitable for shallow foundations. Owing to the inherent variability of soil and the complex changes that occur in the soil adjacent to deep foundations as they are installed, the ability to accurately predict axial pile capacity is difficult. As a result of their schedule and perceived cost, site-specific full-scale instrumented pile loading tests are not often performed, rather, empirical or semi-empirical static analyses that require simplifications and indirect consideration of true pile-soil response are often used to estimate pile capacity. Many pile-specific and -nonspecific axial capacity estimation methodologies are available; however, most of them are largely inaccurate. The uncertainty associated with foundation design is well recognized, and has been traditionally addressed using deterministic design procedures and global factors of safety. The shortcomings associated with deterministic design approaches are well-documented, and the use of reliability theory to provide safe and cost-effective design solutions is preferred. However, the transition to reliability-based design (RBD) remains an ongoing process, and several challenges remain. This dissertation uses high quality data to investigate and identify pertinent factors that control reliability. Correlations between design variables that were previously overlooked are identified, and improvements are made in order to provide accurate and unbiased pile design models. Robust statistical models are developed; and guidelines are established for incorporating more realistic assessments of the probability of exceeding two particular limit states relevant for piles under axial loading conditions. First, dynamic formulas for estimating axial pile capacity at the ultimate limit state (ULS) are recalibrated for use within a probabilistic design framework using ordinary least squares regression and a geologic-specific database for a variety of driving conditions; Monte Carlo simulations (MCS) are employed to calibrate resistance factors for use with the new and unbiased dynamic formulas. Accurate and unbiased models for estimating the capacity of auger cast-in-place (ACIP) piles at the ULS are developed since current recommendations were shown to be largely unsuitable. A parametric study was conducted using a first-order reliability method approach in order to identify the parameters and statistical modeling decisions that govern the reliability of ACIP piles at the serviceability limit state (SLS). The shortcomings of existing correlation models are identified, and new design models for ACIP piles at the ULS are incorporated into assessments of reliability at the SLS using more robust copula theory and a MCS approach. Because estimates of reliability using conventional techniques have been shown to be overly conservative, resistance distributions are truncated based on theoretical lower-bound limits, resulting in more cost-effective design solutions.


Reliability-Based Design in Soil and Rock Engineering

Reliability-Based Design in Soil and Rock Engineering
Author: Bak Kong Low
Publisher: CRC Press
Total Pages: 399
Release: 2021-11-01
Genre: Technology & Engineering
ISBN: 1000472566

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This book contains probabilistic analyses and reliability-based designs (RBDs) for the enhancement of Eurocode 7 (EC7) and load and resistance factor design (LRFD) methods. An intuitive perspective and efficient computational procedure for the first-order reliability method (FORM, which includes the Hasofer–Lind reliability index) is explained, together with discussions on the similarities and differences between the design point of EC7/LRFD and RBD-via-FORM. Probability-based designs with respect to the ultimate and serviceability limit states are demonstrated for soil and rock engineering, including shallow and deep foundations, earth-retaining structures, soil slopes, 2D rock slopes with discontinuities, 3D rock slopes with wedge mechanisms, and underground rock excavations. Renowned cases in soil and rock engineering are analyzed both deterministically and probabilistically, and comparisons are made with other probabilistic methods. This book is ideal for practitioners, graduate students and researchers and all who want to deepen their understanding of geotechnical RBD accounting for uncertainty and overcome some limitations and potential pitfalls of the evolving LRFD and EC7. Solutions for the book’s examples are available online and are helpful to acquire a hands-on appreciation: https://www.routledge.com/9780367631390.


Advances in Analysis and Design of Deep Foundations

Advances in Analysis and Design of Deep Foundations
Author: Murad Abu-Farsakh
Publisher: Springer
Total Pages: 314
Release: 2017-07-11
Genre: Science
ISBN: 3319616420

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This volume on “Advances in Analysis and Design of Deep Foundations” contains 22 technical papers which cover various aspects of analysis and design of deep foundations based on full-scale field testing, numerical modeling, and analytical solutions. The technical papers are 8-10 pages long that present the results and findings from research as well as practical-oriented studies on deep foundations that are of interest to civil/geotechnical engineering community. The topics cover a wide spectrum of applications that include evaluation of the axial and lateral capacity of piles, pile group effects, evaluation of the increase in pile capacity with time (or pile setup), influence of excavation on pile capacity, study the behavior of pile raft caisson foundations, evaluate the bearing capacity and settlement of piles from cone penetration tests, etc. This volume is part of the proceedings of the 1st GeoMEast International Congress and Exhibition on Sustainable Civil Infrastructures, Egypt 2017.


The Deep Mixing Method

The Deep Mixing Method
Author: Masaki Kitazume
Publisher: CRC Press
Total Pages: 436
Release: 2013-02-21
Genre: Technology & Engineering
ISBN: 0203589637

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The Deep Mixing Method (DMM), a deep in-situ soil stabilization technique using cement and/or lime as a stabilizing agent, was developed in Japan and in the Nordic countries independently in the 1970s. Numerous research efforts have been made in these areas investigating properties of treated soil, behavior of DMM improved ground under static and d


Model Uncertainties in Foundation Design

Model Uncertainties in Foundation Design
Author: Chong Tang
Publisher: CRC Press
Total Pages: 589
Release: 2021-03-16
Genre: Technology & Engineering
ISBN: 0429658397

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Model Uncertainties in Foundation Design is unique in the compilation of the largest and the most diverse load test databases to date, covering many foundation types (shallow foundations, spudcans, driven piles, drilled shafts, rock sockets and helical piles) and a wide range of ground conditions (soil to soft rock). All databases with names prefixed by NUS are available upon request. This book presents a comprehensive evaluation of the model factor mean (bias) and coefficient of variation (COV) for ultimate and serviceability limit state based on these databases. These statistics can be used directly for AASHTO LRFD calibration. Besides load test databases, performance databases for other geo-structures and their model factor statistics are provided. Based on this extensive literature survey, a practical three-tier scheme for classifying the model uncertainty of geo-structures according to the model factor mean and COV is proposed. This empirically grounded scheme can underpin the calibration of resistance factors as a function of the degree of understanding – a concept already adopted in the Canadian Highway Bridge Design Code and being considered for the new draft for Eurocode 7 Part 1 (EN 1997-1:202x). The helical pile research in Chapter 7 was recognised by the 2020 ASCE Norman Medal.


Performance Based Design of Deep Foundations in Spatially Varying Soils

Performance Based Design of Deep Foundations in Spatially Varying Soils
Author: Haijian Fan
Publisher:
Total Pages: 177
Release: 2013
Genre: Civil engineering
ISBN:

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With the implementation of load and resistance factor design (LRFD) by the U.S. Federal Highway Administration, the design of deep foundations is migrating from Level I (e.g., allowable stress design) codes to Level II codes (e.g., LRFD). Nevertheless, there are still unsolved issues regarding the implementation of load and resistance factor design. For example, there is no generally accepted guidance on the statistical characterization of soil properties. Moreover, the serviceability limit check in LRFD is still deterministic. No uncertainties arising in soil properties, loads and design criteria are taken into account in the implementation of LRFD. In current practice, the load factors and resistances are taken as unity, and deterministic models are applied to evaluate the displacements of geotechnical structures. In order to address the aforementioned issues of LRFD, there is a need for a computational method for conducting reliability analysis and computational tools for statistically characterizing the variability of soil properties. The objectives of this research are: 1) to develop a mathematically sound computational tool for conducting reliability analysis for deep foundations; and 2) to develop the associated computational method that can be used to determine the variability model of a soil property. To achieve consistency between the strength limit check and the serviceability limit check of the LRFD framework, performance-based design methodology is developed for deep foundation design. In the proposed methodology, the design criteria are defined in terms of the displacements of the structure that are induced by external loads. If the displacements are within the specified design criteria, the design is considered satisfactory. Otherwise, failure is said to occur. In order to calculate the probability of failure, Monte Carlo simulation is employed. In Monte Carlo simulation, the variability of the random variables that are involved in the reliability analysis is captured by simulating a large number of samples according to their respective probability distributions. Next, the simulations of the random variables are used as the input to the commonly used p-y method and load transfer method to evaluate the load-displacement behavior. Once the displacements are calculated, it can be determined whether or not failure will occur. Accordingly, the failure probability is calculated as the number of failure events to the total number of simulations. A series of computer programs have been developed and validated based on the proposed performance-based design methodology. These computer programs can be used to conduct reliability analysis for designing a drilled shaft. To determine the variability model of soil properties that will be used as input to the computer programs, a computational method has been developed in which the blow counts in a standard penetration test are required as inputs. It is found that the consideration of the dependence structure of soil properties is important for reliability analysis.