• 제목/요약/키워드: Secant Method

검색결과 114건 처리시간 0.021초

Experimental study and calculation of laterally-prestressed confined concrete columns

  • Nematzadeh, Mahdi;Fazli, Saeed;Hajirasouliha, Iman
    • Steel and Composite Structures
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    • 제23권5호
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    • pp.517-527
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    • 2017
  • In this paper, the effect of active confinement on the compressive behaviour of circular steel tube-confined concrete (STCC) and concrete-filled steel tube (CFST) columns is investigated. In STCC columns the axial load is only applied to the concrete core, while in CFST columns the load is carried by the whole composite section. A new method is introduced to apply confining pressure on fresh concrete by laterally prestressing steel tubes. In order to achieve different prestressing levels, short-term and long-term pressures are applied to the fresh concrete. Three groups of STCC and CFST specimens (passive, S-active and L-active groups) are tested under axial loads. The results including stress-strain relationships of composite column components, secant modulus of elasticity, and volumetric strain are presented and discussed. Based on the elastic-plastic theory, the behaviour of the steel tube is also analyzed during elastic, yielding, and strain hardening stages. The results show that using the proposed prestressing method can considerably improve the compressive behaviour of both STCC and CFST specimens, while increasing the prestressing level has insignificant effects. By applying prestressing, the linear range in the stress-strain curve of STCC specimens increases by almost twice as much, while the improvement is negligible in CFST specimens.

Extension of Direct Displacement-Based Design to Include Higher-Mode Effects in Planar Reinforced Concrete Frame Buildings

  • 아베베 베카 하일루;이종세
    • 한국지진공학회논문집
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    • 제22권5호
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    • pp.299-309
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    • 2018
  • Now that problems with force-based seismic design have been clearly identified, design is inclined toward displacement-based methods. One such widely used method is Direct-Displacement-Based Design (DDBD). Yet, one of the shortcomings of DDBD is considering higher-mode amplification of story shear, moments, and displacements using equations obtained from limited parametric studies of regular planar frames. In this paper, a different approach to account for higher-mode effects is proposed. This approach determines the lateral secant stiffness of the building frames that fulfill the allowable inter-story drift without exceeding the desired story displacements. Using the stiffness, an elastic response spectrum analysis is carried out to determine elastic higher-mode force effects. These force effects are then combined with DDBD-obtained first-mode force effects using the appropriate modal superposition method so that design can be performed. The proposed design procedure is verified using Nonlinear Time History Analysis (NTHA) of twelve planar frames in four categories accounting for mass and stiffness irregularity along the height. In general, the NTHA response outputs compared well with the allowable limits of the performance objective. Thus, it fulfills the aim of minimizing the use of NTHA for planar frame buildings, thereby saving computational resources and effort.

7075-T651 Al合金의 表面균열進展에 미치는 應力比의 影響 (The Effect of Stress Ratio on the Surface Crack Growth Behavior in 7075-T651 Aluminum Alloy)

  • 박영조;김정규;신용승;김성민
    • 대한기계학회논문집
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    • 제10권1호
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    • pp.62-69
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    • 1986
  • 본 연구에서는 표면균열의 전파거동에 관한 연구의 일환으로 경량화재료 로서 항공기 구조용으로 널리 사용되고 있는 7075-T651 알루미늄합금을 준비하고 제하탄성 compliance법을 이용하여 표면 및 깊이 방향의 균열진전거동의 특성을 밝히고져 한다.

The effect of active and passive confining pressure on compressive behavior of STCC and CFST

  • Nematzadeh, Mahdi;Fazli, Saeed
    • Advances in concrete construction
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    • 제9권2호
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    • pp.161-171
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    • 2020
  • In this paper, an experimental study was conducted on the compressive behavior of steel tube confined concrete (STCC) and concrete-filled steel tube (CFST) columns with active and passive confinement. To create active confinement in the STCC and CFST specimens, an innovative method was used in this study, in which by applying pressure on the fresh concrete, the steel tube was laterally pretensioned and the concrete core was compressed simultaneously. Of the benefits of this technique are improving the composite column behavior, without the use of additives and without the need for vibration, and achieving high prestressing levels. To achieve lower and higher prestressing levels, short and long term pressures were applied to the specimens, respectively. Nineteen STCC and CFST specimens in three groups of passive, short-term active, and long-term active confinement were subjected to axial compression, and their mechanical properties including the compressive strength, modulus of elasticity and axial strain were evaluated. The results showed that the proposed method of prestressing the STCC columns led to a significant increase in the compressive strength (about 60%), initial modulus of elasticity (about 130%) as well as a significant reduction in the axial strain (about 45%). In the CFST columns, the prestressing led to a considerable increase in the compressive strength, a small effect on the initial and secant modulus of elasticity and an increase in the axial strain (about 55%). Moreover, increased prestressing levels negligibly affected the compressive strength of STCCs and CFSTs but slightly increased the elastic modulus of STCCs and significantly decreased that of CFSTs.

Nonlinear analysis of cable-stayed spatial latticed structures

  • Zhou, Dai;Liu, Hongyu;Jin, Bo
    • Structural Engineering and Mechanics
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    • 제15권4호
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    • pp.415-436
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    • 2003
  • The combination of spatial latticed structures (hereafter SLS) and flexible cables, the cable-stayed spatial latticed structures (hereafter CSLS) can cross longer span. According to variation principle, a novel geometric nonlinear formulation for 3-D bar elements considering large displacement and infinitesimal rotation increments with second-order precision is developed. The cable nonlinearity is investigated and it is taken that the secant modulus method can be considered as an exact method for a cable member. The tower column with which the cables link is regarded as a special kind of beam element, and, a new simplified stiffness formulation is presented. The computational strategies for the nonlinear dynamic response of structures are given, and the ultimate load carrying capacities and seismic responses are analyzed numerically. It is noted that, compared with corresponding spatial latticed shells, the cable-stayed spatial latticed shells have more strength and more stiffness, and that the verical seismic responses of both CSLS and CLS are remarkably greater than the horizontal ones. In addition, the computation shows that the stiffness of tower column influences the performance of CSLS to a certain extent and the improvement of structural strength and stiffness of CSLS is relevant not only to cables but also to tower columns.

Curved-quartic-function elements with end-springs in series for direct analysis of steel frames

  • Liu, Si-Wei;Chan, Jake Lok Yan;Bai, Rui;Chan, Siu-Lai
    • Steel and Composite Structures
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    • 제29권5호
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    • pp.623-633
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    • 2018
  • A robust element is essential for successful design of steel frames with Direct analysis (DA) method. To this end, an innovative and efficient curved-quartic-function (CQF) beam-column element using the fourth-order polynomial shape function with end-springs in series is proposed for practical applications of DA. The member initial imperfection is explicitly integrated into the element formulation, and, therefore, the P-${\delta}$ effect can be directly captured in the analysis. The series of zero-length springs are placed at the element ends to model the effects of semi-rigid joints and material yielding. One-element-per-member model is adopted for design bringing considerable savings in computer expense. The incremental secant stiffness method allowing for large deflections is used to describe the kinematic motion. Finally, several problems are studied in this paper for examining and validating the accuracy of the present formulations. The proposed element is believed to make DA simpler to use than existing elements, which is essential for its successful and widespread adoption by engineers.

표준압밀시험에 의한 점토의 초기탄성계수 산정 (The Estimation of Initial Elastic Modulus of Clay by Standard Consolidation Test)

  • 권병해;임성훈
    • 한국농공학회논문집
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    • 제66권1호
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    • pp.15-24
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    • 2024
  • Unlike artificially created homogeneous materials, the process of calculating the elastic modulus of natural soil involves the possibility of errors. Because the stress-strain behavior of soil is nonlinear, the secant modulus of elasticity is often used based on 1/2 of the stress at failure. Since soil has the property of changing its elastic modulus depending on the confining pressure, numerical analysis models that analyze its behavior inevitably include complex elements. The hyperbolic model, which relatively accurately simulates the behavior immediately after loading in soft ground, assumes that the stress-strain curve of the consolidated undrained triaxial test is hyperbolic and requires the slope of the tangent line at the starting point. However, the slope of the initial tangent in the stress-strain curve obtained from an actual triaxial test is difficult to have regularity according to changes in confining pressure. Additionally, due to the characteristics of a hyperbola, even small changes in related factors cause large changes in the hyperbola. Therefore, there is a lot of randomness in the process of calculating model parameters from the triaxial test results, which causes large differences in the results. Therefore, the method of calculating the initial elastic modulus by the consolidation test presented in this study is also used to verify the method by the triaxial test. It can be applied. However, since this study was applied to only one sample showing typical consolidation characteristics, it is necessary to check samples with various physical properties in the future.

공간 트러스에 대한 효율적인 비선형 해석 기법 제안 (The Proposition of Efficient Nonlinear Solution Technique for Space Truss)

  • 석창목;권영환
    • 한국전산구조공학회논문집
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    • 제15권3호
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    • pp.481-490
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    • 2002
  • 본 논문의 목적은 공간 트러스 비선형 해석기법에 대한 수치해석적 장단점을 비교하고, 효율적인 해석기법을 제안하는 것이다. 사용된 해석기법은 하중 제어법으로 뉴턴-랩슨법, 수정 뉴턴-랩슨법, 할선-뉴턴법, 하중-변위 제어법으로 호장법, 증분일 제어법, 그리고 본 논문에서 제안한 하중-변위의 복합적 제어법으로 복합 호장법 Ⅰ, 복합 호장법Ⅱ, 복합 증분일 제어법이 있다. 공간 트러스에 대한 해석기법의 효율성 평가를 위하여 해의 정확성, 수렴성, 계산시간 등을 제시된 예에 비교한 결과 본 논문에서 제안한 하중-변위의 복합적 제어법의 신뢰성을 입증하였으며, 기하학적 비선형 해석 및 좌굴후 거동의 추적에 있어서 효율적이었다. 특히, 자유도수가 많은 공간 트러스의 좌굴하중 추척에 있어서는 복합 증분일 제어법이 효율적이었다.

SPW 흙막이 벽체의 설계요소별 부재력과 수평변위 및 콘크리트강도 특성 연구 (A Study on the Characteristics of Member Force, Horizontal Displacement and Concrete Strength by Design Elements of SPW Retaining Walls)

  • 김완호;신유석;이영진;장용채;이강일
    • 한국지반신소재학회논문집
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    • 제22권1호
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    • pp.75-85
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    • 2023
  • 굴착공사가 이루어지는 지역에서는 지하수위 변화와 지반침하를 최소화하기 위한 흙막이 벽체 공법 선정이 매우 중요하다. 이러한 측면에서 CIP 공법의 단점을 보완할 수 있는 SPW 공법은 국내 흙막이 벽체 시공 시 점차 증가하는 추세이다. 이러한 여건을 고려하여 본 연구에서는 SPW 공법의 설계요소와 흙막이 벽체의 구조적 안정요소간 상호 특성에 대하여 연구하였다. 여기서, 흙막이 벽체의 설계요소는 말뚝 간 겹침길이, 말뚝직경, H형강 보강재 규격이며 이에 따른 흙막이 벽체의 구조적 안정요소는 흙막이 벽체의 휨응력, 전단응력, 수평변위, 콘크리트 강도이다. 연구 결과 H형강 보강재의 부재력에 큰 영향을 미치는 설계요소는 말뚝직경과 H형강 보강재 규격이며, 수평변위에 큰 영향을 미치는 설계요소는 말뚝직경과 말뚝 간 겹침길이인 것으로 나타났다. 또한, 콘크리트 강도에 큰 영향을 미치는 설계요소는 말뚝직경과 H형강 보강재 규격인 것으로 나타났다.

시공단계를 고려한 고층건물 콘크리트 슬래브의 건조수축 응력해석 (Shrinkage Stress Analysis of Concrete Slab in Multi-Story Building Considering Construction Sequence)

  • 김한수;정종현;조석희
    • 콘크리트학회논문집
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    • 제13권5호
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    • pp.457-465
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    • 2001
  • 고층건물 콘크리트 슬래브에 발생하는 건조수축변형은 기둥이나 벽체 등의 구조부재에 의해 변형발생이 제한되고 이로 인한 인장응력이 부재의 인장강도를 초과하게 되면 균열이 발생한다. 이 논문에서는 건조수축과 크리프, 철근효과 등 콘크리트의 재료특성과 시공단계에 따른 건조수축을 고려하여 슬래브에 발생하는 응력을 산정하는 실용적인 해석방법을 제안하였다. 건조수축으로 인해 부재에 작용하는 인장응력은 건조수축변형을 등가온도하중으로 치환하여 계산할 수 있으며, 건조수축과는 달리 응력을 이완시켜 주는 크리프의 영향은 콘크리트의 탄성계수 Ec 대신에 크리프를 고려한 콘크리트의 유효탄성계수 E eff를 사용하고, 배근된 철근은 등가의 보요소로 모델링하여 해석에 반영할 수 있다. 또한 고층건물 슬래브에서 발생하는 건조수축응력은 그 층에서 발생한 건조수축량과 하부 층의 건조수축량의 차이인 유효건조수축에 의한 응력임을 고려하여 각 시공단계마다 발생하는 응력을 단계별 해석을 수행하여 구하고 이를 합산함으로서 슬래브에 최종적으로 발생하는 응력을 산정한다. 10층 규모에 예제건물을 대상으로 해석한 결과, 상부 층으로 갈수록 점차 건조수축응력이 줄어들며 전체 구조물에 발생한 응력은 저층부(1~2층)에서는 기준강도를 초과하나 3층 이상의 고층부에서는 기준강도의 27.9~92.8% 수준으로 나타났다.