• Title/Summary/Keyword: probability-based design

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A study on Probability-based Durability Design of Concrete Structures subjected to Chloride Attack (확률론적 방법을 적용한 콘크리트 구조물의 염해 내구성 설계에 관한 연구)

  • Kim Won-Dong;Song Ha-Won;Byun Kun-Joo;Pack Sung-Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05b
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    • pp.161-164
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    • 2005
  • A probability-based durability design which minimizes the uncertainties on durability parameters of concrete is proposed for reinforced concrete structures subjected to chloride attack. The uncertainties of various factors such as water-cement ratio, curing temperature, age of concrete and the variation of these factors which affect chloride ion diffusion are considered. For the durability design, a probability-distribution function for each factor is obtained and a program which combines Fick's 2nd law and Monte Carlo simulation is developed. The durability design method proposed in this study considers probability of durability limit and probability of the concentration of chloride ion, so that the probability-based deterioration prediction is possible.

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Probability-based design charts for stone column-improved ground

  • Deb, Kousik;Majee, Anjan
    • Geomechanics and Engineering
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    • v.7 no.5
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    • pp.539-552
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    • 2014
  • A simplified probability-based design charts for stone column-improved ground have been presented based on the unit cell approach. The undrained cohesion ($c_u$) and coefficient of radial consolidation ($c_r$) of the soft soil are taken as the most predominant random variables. The design charts are developed to estimate the diameter of the stone column or the spacing between the stone columns by employing a factored design value of $c_r$ and $c_u$ so as to satisfy a specific probability level of the target degree of consolidation and/or a target safe load that needs to be achieved in a specified timeframe. The design charts can be used by the practicing engineers to design the stone column-improved ground by considering consolidation and /or bearing capacity of the improved ground.

Development of Probability Based LRED Formats for R.C. Structure Design (철근콘크리트구조물의 LRED 설계식 개발)

  • 김상효;조형근;배규웅;박흥석
    • Proceedings of the Korea Concrete Institute Conference
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    • 1990.10a
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    • pp.29-34
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    • 1990
  • Based on the recent developments of the reliability-based structural analysis and design as well as the extending knowledge on the probabilistic characteristics of loadings and resistances, the probability based design criteria have been successfully developed for many standards. Since the probabilistic characteristics depend highly on the local environments(loadings) and workmanship resistances), it is recognized to develop the design creterion compatible with domestic requirements. In this study, therefore, the proper probability based design criterion(load and resistance factor design formats) has been developed based on the safaty levels observed from calibration with existing standards, which applies to the ultimate limit states of reinforced concrete members.

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Probability-based durability design software for concrete structures subjected to chloride exposed environments

  • Shin, Kyung-Joon;Kim, Jee-Sang;Lee, Kwang-Myong
    • Computers and Concrete
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    • v.8 no.5
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    • pp.511-524
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    • 2011
  • Although concrete is believed to be a durable material, concrete structures have been degraded by severe environmental conditions such as the effects of chloride and chemical, abrasion, and other deterioration processes. Therefore, durability evaluation has been required to ensure the long term serviceability of structures located in chloride exposed environments. Recently, probability-based durability analysis and design have proven to be reliable for the service-life predictions of concrete structures. This approach has been successfully applied to durability estimation and design of concrete structures. However, currently it is difficult to find an appropriate method engineers can use to solve these probability-based diffusion problems. In this paper, computer software has been developed to facilitate probability-based durability analysis and design. This software predict the chloride diffusion using the Monte Carlo simulation method based on Fick's second law, and provides durability analysis and design solutions. A graphic user interface (GUI) is adapted for intuitive and easy use. The developed software is very useful not only for prediction of the service life but for the durability design of the concrete structures exposed to chloride environments.

Reliability-Based Optimum Design for Tubular Frame Structures (골조 파이프 구조물의 최적신뢰성 설계)

  • 백점기
    • Journal of Ocean Engineering and Technology
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    • v.2 no.1
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    • pp.95-105
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    • 1988
  • This paper describes the development of a reliability-based optimum design technique for such three dimensional tubular frames as off shore structures. The objective function is formulated for the structural weight. Constraints that probability of failure for the critical sections does not exceed the allowable probability of failure are set up. In the evaluation of the probability of failure, fatigue as well as buckling and plasticity failure are taken into account and the mean-value first-order second-moment method(MVFOSM) is applied for its calculation. In order to reduce the computing time required for the repeated structural analysis in the optimization process, reanalysis method is also applied. Application to two and three dimensional simple frame structures is performed. The influence of material properties, external forces, allowable failure probabilities and interaction between external forces on the optimum design is investigated.

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Analysis of structural dynamic reliability based on the probability density evolution method

  • Fang, Yongfeng;Chen, Jianjun;Tee, Kong Fah
    • Structural Engineering and Mechanics
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    • v.45 no.2
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    • pp.201-209
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    • 2013
  • A new dynamic reliability analysis of structure under repeated random loads is proposed in this paper. The proposed method is developed based on the idea that the probability density of several times random loads can be derived from the probability density of single-time random load. The reliability prediction models of structure based on time responses under several times random loads with and without strength degradation are obtained by using the stress-strength interference theory and probability density evolution method. The resulting differential equations in the prediction models can be solved by using the forward finite difference method. Then, the probability density functions of strength redundancy of the structures can be obtained. Finally, the structural dynamic reliability can be calculated using integral method. The efficiency of the proposed method is demonstrated numerically through a speed reducer. The results have shown that the proposed method is practicable, feasible and gives reasonably accurate prediction.

Performance Based Seismic Design State of Practice, 2012 Manila, Philippines

  • Sy, Jose A.;Anwar, Naveed;HtutAung, Thaung;Rayamajhi, Deepak
    • International Journal of High-Rise Buildings
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    • v.1 no.3
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    • pp.203-209
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    • 2012
  • The purpose of this paper is to present the state of practice being used in the Philippines for the performance-based seismic design of reinforced concrete tall buildings. Initially, the overall methodology follows "An Alternative Procedure for Seismic Analysis and Design of Tall Buildings Located in the Los Angeles Region, 2008", which was developed by Los Angeles Tall Buildings Structural Design Council. After 2010, the design procedure follows "Tall Buildings Initiative, Guidelines for Performance-Based Seismic Design of Tall Buildings, 2010" developed by Pacific Earthquake Engineering Research Center (PEER). After the completion of preliminary design in accordance with code-based design procedures, the performance of the building is checked for serviceable behaviour for frequent earthquakes (50% probability of exceedance in 30 years, i.e,, with 43-year return period) and very low probability of collapse under extremely rare earthquakes (2% of probability of exceedance in 50 years, i.e., 2475-year return period). In the analysis, finite element models with various complexity and refinements are used in different types of analyses using, linear-static, multi-mode pushover, and nonlinear-dynamic analyses, as appropriate. Site-specific seismic input ground motions are used to check the level of performance under the potential hazard, which is likely to be experienced. Sample project conducted using performance-based seismic design procedures is also briefly presented.

Reliability-Based Design of Shallow Foundations Considering The Probability Distribution Types of Random Variables (확률변수의 분포특성을 고려한 얕은기초 신뢰성 설계)

  • Kim, Chang-Dong;Kim, Soo-Il;Lee, Jun-Hwan;Kim, Byung-Il
    • Journal of the Korean Geotechnical Society
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    • v.24 no.1
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    • pp.119-130
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    • 2008
  • Uncertainties in physical and engineering parameters for the design of shallow foundations arise from various aspects such as inherent variability and measurement error. This paper aims at investigating and reducing uncertainty from deterministic method by using the reliability-based design of shallow foundations accounting for the variation of various design parameters. A probability distribution type and statistics of random variables such as unit weight, cohesion, infernal friction angle and Young's modulus in geotechnical engineering are suggested to calculate the ultimate bearing capacities and immediate settlements of foundations. Reliability index and probability of failure are estimated based on the distribution types of random variables. Widths of foundation are calculated at target reliability index and probability of failure. It is found that application and analysis of the best-fit distribution type for each random variables are more effective than adoption of the normal distribution type in optimizing the reliability-based design of shallow foundations.

Seismic performance-based optimal design approach for structures equipped with SATMDs

  • Mohebbi, Mohtasham;Bakhshinezhad, Sina
    • Earthquakes and Structures
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    • v.22 no.1
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    • pp.95-107
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    • 2022
  • This paper introduces a novel, rigorous, and efficient probabilistic methodology for the performance-based optimal design (PBOD) of semi-active tuned mass damper (SATMD) for seismically excited nonlinear structures. The proposed methodology is consistent with the modern performance-based earthquake engineering framework and aims to design reliable control systems. To this end, an optimization problem has been defined which considers the parameters of control systems as design variables and minimization of the probability of exceeding a targeted structural performance level during the lifetime as an objective function with a constraint on the failure probability of stroke length damage state associated with mass damper mechanism. The effectiveness of the proposed methodology is illustrated through a numerical example of performance analysis of an eight-story nonlinear shear building frame with hysteretic bilinear behavior. The SATMD with variable stiffness and damping have been designed separately with different mass ratios. Their performance has been compared with that of uncontrolled structure and the structure controlled with passive TMD in terms of probabilistic demand curves, response hazard curves, fragility curves, and exceedance probability of performance levels during the lifetime. Numerical results show the effectiveness, simplicity, and reliability of the proposed PBOD method in designing SATMD with variable stiffness and damping for the nonlinear frames where they have reduced the exceedance probability of the structure up to 49% and 44%, respectively.

Probability-based structural response of steel beams and frames with uncertain semi-rigid connections

  • Domenico, Dario De;Falsone, Giovanni;Laudani, Rossella
    • Structural Engineering and Mechanics
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    • v.67 no.5
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    • pp.439-455
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    • 2018
  • Within a probabilistic framework, this paper addresses the determination of the static structural response of beams and frames with partially restrained (semi-rigid) connections. The flexibility of the nodal connections is incorporated via an idealized linear-elastic behavior of the beam constraints through the use of rotational springs, which are here considered uncertain for taking into account the largely scattered results observed in experimental findings. The analysis is conducted via the Probabilistic Transformation Method, by modelling the spring stiffness terms (or equivalently, the fixity factors of the beam) as uniformly distributed random variables. The limit values of the Eurocode 3 fixity factors for steel semi-rigid connections are assumed. The exact probability density function of a few indicators of the structural response is derived and discussed in order to identify to what extent the uncertainty of the beam constraints affects the resulting beam response. Some design considerations arise which point out the paramount importance of probability-based approaches whenever a comprehensive experimental background regarding the stiffness of the beam connection is lacking, for example in steel frames with semi-rigid connections or in precast reinforced concrete framed structures. Indeed, it is demonstrated that resorting to deterministic approaches may lead to misleading (and in some cases non-conservative) outcomes from a design viewpoint.