• 제목/요약/키워드: Secant elastic modulus

검색결과 17건 처리시간 0.025초

Modulus degradation of concrete exposed to compressive fatigue loading: Insights from lab testing

  • Song, Zhengyang;Konietzky, Heinz;Cai, Xin
    • Structural Engineering and Mechanics
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    • 제78권3호
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    • pp.281-296
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    • 2021
  • This article analyzed the modulus degradation of concrete subjected to multi-level compressive cyclic loading. The evolution of secant elastic modulus is investigated based on measurements from top loading platen and LVDT in the middle part of concrete. The difference value of the two secant elastic moduli is reduced when close to failure and could be used as a fatigue failure precursor. The fatigue hardening is observed for concrete during cyclic loading. When the maximum stress is smaller the fatigue hardening is more obvious. The slight increase of maximum stress will lead to the "periodic hardening". The tangent elastic modulus shows a specific "bowknot" shape during cyclic loading, which can characterize the hysteresis of stress-strain and is influenced by the cyclic loading stresses. The deterioration of secant elastic modulus acts a similar role with respect to the P-wave speed during cyclic loading, can both characterize the degradation of the concrete properties.

심층혼합 시료의 탄성계수에 관한 실험적 연구 (An Experimental Study on the Elastic Modulus of Deep Mixing Ground Specimen)

  • 박춘식;박환기
    • 한국지반공학회논문집
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    • 제34권10호
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    • pp.39-49
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    • 2018
  • 본 연구는 심층혼합시료의 탄성계수를 파악하기 위하여 점토, 모래, 자갈의 입도 구성조건에 안정재 혼합비 8%, 10%, 12%, 14%로 혼합하여 총 320개의 공시체를 제작하였다. 이러한 공시체를 사용하여 일축압축시험을 수행하였고, 일축압축강도와 변형률을 분석하여 할선탄성계수와 접선탄성계수를 구하였다. 실내시험 결과 모든 심층혼합시료는 양생기간과 안정재 혼합비가 증가함에 따라 일축압축강도가 증가하였는데, 이에 대한 할선탄성계수와 접선탄성계수도 증가하는 경향이 뚜렷하게 나타났다. 양생기간에 따른 탄성계수 값의 증가는 할선탄성계수보다 접선탄성계수가 크게 나타났지만, 탄성계수의 증분비는 할선탄성계수가 크게 나타났다. 안정재 혼합비 8%에 대한 탄성계수와 안정재 혼합비 10%, 12%, 14%에 대한 탄성계수 값을 비교하여 안정재 혼합비에 따른 탄성계수를 추정할 수 있는 상관관계식을 공시체 조건별로 구하였다. 심층혼합시료의 입경이 굵어지면 각각의 탄성계수가 증가하는 경향이 나타났으며,가장 큰 영향을 미치는 입경의 분포는 모래질의 구성비가 높을 때 나타났다. 한편 탄성계수증가는 공시체 종류별로는 모래질 공시체가 점토질과 자갈질 공시체보다 크게 나타났다. 이러한 결과를 바탕으로 심층혼합시료의 입도 분포와 안정재 혼합비로 현장의 심층혼합지반의 적절한 지반정수를 제안할 수 있을 것으로 판단된다.

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.

경량혼합토의 도로 노상층 재료 사용 가능성 평가 (Evaluation of Lightweight Soil as a Subgrade Material)

  • 박대욱;보베이트하이
    • 한국도로학회논문집
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    • 제15권5호
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    • pp.57-64
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    • 2013
  • PURPOSES : It is to evaluate lightweight soil as a subgrade material based on mechanical tests and calculation of pavement performance. METHODS : In this research, various contents of cement and air foam are used to make lightweight soil using wasted dredged soil. Uniaxial compressive strength test is conducted to evaluate strength of 7 and 28 day cured specimens. Secant modulus was calculated based on the stress and strain relationship of uniaxial compressive strength test. Resilient modulus test was measured using by repeated triaxial compression test. The measured resilient modulus was used in layered elastic program to predict fatigue and rutting life at a given pavement structure. RESULTS : Uniaxial compressive strength increases as cement content increases but decrease as air foam content increases. Resilient modulus also increases as cement content increases and decrease as air foam content decrease. CONCLUSIONS : It is concluded that dredge clay soil can be used as subgrade layer material using by lightweight treated soil method.

A new strain-based criterion for evaluating tunnel stability

  • Daraei, Ako;Zare, Shokrollah
    • Geomechanics and Engineering
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    • 제16권2호
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    • pp.205-215
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    • 2018
  • Strain-based criteria are known as a direct method in determining the stability of the geomechanical structures. In spite of the widely use of Sakurai critical strain criterion, it is so conservative to make use of them in rocks with initial plastic deformation on account of the considerable difference between the failure and critical strains. In this study, a new criterion has been developed on the basis of the failure strain to attain more reasonable results in determining the stability status of the tunnels excavated in the rocks mostly characterized by plastic-elastic/plastic behavior. Firstly, the stress-strain curve was obtained having conducted uniaxial compression strength tests on 91 samples of eight rock types. Then, the initial plastic deformation was omitted making use of axis translation technique and the criterion was presented allowing for the modified secant modulus and by use of the failure strain. The results depicted that the use of failure strain criterion in such rocks not only decreases the conservativeness of the critical strain criterion up to 42%, but also it determines the stability status of the tunnel more accurately.

Prestress force effect on fundamental frequency and deflection shape of PCI beams

  • Bonopera, Marco;Chang, Kuo-Chun;Chen, Chun-Chung;Sung, Yu-Chi;Tullini, Nerio
    • Structural Engineering and Mechanics
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    • 제67권3호
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    • pp.255-265
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    • 2018
  • The prestress force effect on the fundamental frequency and deflection shape of Prestressed Concrete I (PCI) beams was studied in this paper. Currently, due to the conflicts among existing theories, the analytical solution for properly considering the structural behavior of these prestressed members is not clear. A series of experiments were conducted on a large-scale PCI beam of high strength concrete with an eccentric straight unbonded tendon. Specifically, the simply supported PCI beam was subjected to free vibration and three-point bending tests with different prestress forces. Subsequently, the experimental data were compared with analytical results based on the Euler-Bernoulli beam theory. It was proved that the fundamental frequency of PCI beams is unaffected by the increasing applied prestress force, if the variation of the initial elastic modulus of concrete with time is considered. Vice versa, the relationship between the deflection shape and prestress force is well described by the magnification factor formula of the compression-softening theory assuming the secant elastic modulus.

A damage model predicting moderate temperature and size effects on concrete in compression

  • Hassine, Wiem Ben;Loukil, Marwa;Limam, Oualid
    • Computers and Concrete
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    • 제23권5호
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    • pp.321-327
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    • 2019
  • Experimental isotherm compressive tests show that concrete behaviour is dependent on temperature. The aim of such tests is to reproduce how concrete will behave under environmental changes within a moderate range of temperature. In this paper, a novel constitutive elastic damage behaviour law is proposed based on a free energy with an apparent damage depending on temperature. The proposed constitutive behaviour leads to classical theory of thermo-elasticity at small strains. Fixed elastic mechanical characteristics and fixed evolution law of damage independent of temperature and the material volume element size are considered. This approach is applied to compressive tests. The model predicts compressive strength and secant modulus of elasticity decrease as temperature increases. A power scaling law is assumed for specific entropy as function of the specimen size which leads to a volume size effect on the stress-strain compressive behaviour. The proposed model reproduces theoretical and experimental results from literature for tempertaures ranging between $20^{\circ}C$ and $70^{\circ}C$. The effect of the difference in the coefficient of thermal expansion between the mortar and coarse aggregates is also considered which gives a better agreement with FIB recommendations. It is shown that this effect is of a second order in the considered moderate range of temperature.

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.

할선탄성계수를 이용한 반복하중 하 지반의 영구변형 해석 (Analysis of Permanent Deformation under Repetitive Load Based on Degraded Secant Modulus)

  • 안재훈;오정호;신호성
    • 한국지반공학회논문집
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    • 제29권2호
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    • pp.15-21
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    • 2013
  • 일반적으로 도로 포장체 영구변형의 해석은, 먼저 포장체를 층이 진 탄성체로 가정하고 회복탄성계수를 통해 포장체의 회복변형률을 계산하고, 이로부터 다시 실내시험을 통해 얻어진 방정식을 이용하여 영구변형률을 산정하게 된다. 회복탄성계수를 통하여 포장체 내의 응력을 산정할 경우, 포장 내 노상토 상부의 응력은 반복하중으로 인한 노상토의 영구변형 증가를 고려하지 않은 회복탄성계수로부터 결정되므로, 영구변형이 지반 및 포장체에 미치는 영향은 응력 산정 시에 고려되지 않는다. 또한, 토목섬유 등으로 보강된 포장체 등의 거동은 해석에 한계가 있다. 본 논문에서는 기존에 회복탄성계수를 사용하여 포장체의 탄성거동을 계산하는 방식과 달리 하중반복회수의 함수인 할선탄성계수를 사용하여 영구변형을 측정할 수 있도록 새로운 모델을 제안하고, 본 모델 적용과 모델계수 산정의 예를 보인다. 제안된 할선탄성계수를 통한 해석은 비포장 도로 상의 교통으로 인한 영구변형의 예측이나 아스팔트 포장 전 노상토나 기층상부에 가해지는 공사차량으로 인한 영구변형의 산정에 적용가능 할 것으로 판단한다.

콘크리트충전 강관기둥의 내화실험에 대한 고찰 -재하가열실험후의 강관 및 콘크리트 화재손상평가를 중심으로- (Evaluation on Fire Test for the Concrete Filled Steel Tube Column -Fire Damage Evaluation on Steel Tube and Concrete after a Fire Test-)

  • 박기창;최성모;김동규
    • 한국강구조학회 논문집
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    • 제12권6호
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    • pp.759-767
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    • 2000
  • 본 연구는 화재발생후에 시간경과에 따른 콘크리트충전 강관기둥의 내력변화를 파악하고 인장강도시험을 통해 내화실험이전과 후의 항복강도, 인장강도, 평균연신율 및 탄성계수 등에 대하여 각 단계별 하중에 따른 변형률을 비교측정하였다. 화재를 입은 강관내의 충전콘크리트의 물성변화(압축강도 및 탄성계수시험)를 파악하기 위하여 화재실험후 강관중심부에서 코아시험체를 채취하여 압축강도를 측정하고 탄성계수의 측정은 응력에 의한 변형률을 측정하였으며, 대상실험체의 화재온도를 추정하기 위하여 시차열분석을 실시하였다. 이러한 실험결과로부터 얻어진 자료를 평가하여, 향후 콘크리트 충전강관의 내화설계 구조규준제정에 필요한 기초자료를 제시하는데 그 목적이 있다.

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