• 제목/요약/키워드: Equivalent Shear Stress

검색결과 133건 처리시간 0.022초

Confinement model for RC columns strengthened with direct-fastened steel plates

  • Shan, Z.W.;Looi, D.T.W.;Su, R.K.L.
    • Steel and Composite Structures
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    • 제39권4호
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    • pp.367-381
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    • 2021
  • Reinforced concrete (RC) columns can be strengthened by direct fastening of steel plates around a column, forming composite actions. This method can increase both the total load bearing area and the concrete confinement stress. To predict the axial load resistance of strengthened RC columns, the equivalent passive confinement stress of the stirrups and the steel jacket should be accurately quantified, which requires the stress in the stirrups and shear force in the connections to be first obtained. In this paper, parameters, i.e., the stress ratio of the stirrups and shear force ratio of steel plate connectors are utilized to quantify the stress of the stirrups and shear force in the connections. A mechanical model for determining the stress ratio of the stirrups and shear force ratio of steel plate connectors is proposed and validated using the experimental results in a previous study. The model is found to be robust. Subsequently, a parametric study is conducted and the optimum stress ratios of the stirrups and the optimum shear force ratios of connectors are proposed for engineering designs.

Comparison of interpretation methods for large amplitude oscillatory shear response

  • Kim Hyung-Sup;Hyun Kyu;Kim Dae-Jin;Cho Kwang-Soo
    • Korea-Australia Rheology Journal
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    • 제18권2호
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    • pp.91-98
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    • 2006
  • We compare FT (Fourier Transform) and SD (Stress Decomposition), the interpretation methods for LAOS (Large Amplitude Oscillatory Shear). Although the two methods are equivalent in mathematics. they are significantly different in numerical procedures. Precision of FT greatly depends on sampling rate and length of data because FT of experimental data is the discrete version of Fourier integral theorem. FT inevitably involves unnecessary frequencies which must not appear in LAOS. On the other hand, SD is free from the problems from which FT suffers, because SD involves only odd harmonics of primary frequency. SD is based on two axioms on shear stress: [1] shear stress is a sufficiently smooth function of strain and its time derivatives; [2] shear stress satisfies macroscopic time-reversal symmetry. In this paper, we compared numerical aspects of the two interpretation methods for LAOS.

구형등가보 원리에 의한 튜브 구조물의 전단응력 해석 (Orthotropic Beam Analogy for Analysis of Shear Stresses in Framed-Tube Structures)

  • 이강건;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.393-400
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    • 2001
  • A simple numerical modelling technique is proposed for estimating the shear stress distribution in beams of framed tube structures with multiple internal tubes. The structures are analysed using a continuum approach in which each tube is individually modelled by a tube beam that accounts for the flexural and shear deformations, as well as the shear lag effects. The method idealises the discrete tubes-in-tube structures as an assemblage of equivalent multiple beams, each composed of orthotropic plate panels. The numerical analysis of shear stress is based on the elastic theory in conjunction with the minimum potential energy principle. By simplifying assumptions regarding the form of strain distributions in external and internal tubes, the shear stress distributions are expressed in terms of a series of linear functions of the second moments of area of the structures and the corresponding geometric and material properties, as well as the applied loads. The simplicity and accuracy of the proposed method are demonstrated through the solutions of three numerical examples.

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부분적(部分的)인 균일전단하중(均一傳達荷重)을 받는 평판(平板)에서의 응력분포(應力分布) (Stress Distributions in a Plate due to Shear Loading Uniformly Distributed on the End Portions of its Side Boundary.)

  • 김효철
    • 대한조선학회지
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    • 제7권1호
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    • pp.37-44
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    • 1970
  • The plate under shear loading umformly distributed on the end portions of its side boundary was considered. Infinite hyperbolic serieses and Fourier serieses were combined as a stress function and from which exact solutions for the 15 cases for the parameters of b/L=0.25, 0.5, 1.0 and l/L=0.2, 0.4, 0.6, 0.8, 1.0 are obtained. In each cases the first 5 terms of the infinite series at the 36 points as shown in Fig. 3. The results are presented in Fig. 4-1, 4-2, and 4-3. The conclusions are as follows: 1) The stresses ${\sigma}_x$ increase very slightly as $\chi$ increases in the range of 0<x<L-l 2) When the parameters satisfy the conditions b/L<0.25 and l/L<0.2, the stresses in the region of 0<x<L-l can be obtained by replacing the uniform shear loading by the equivalent uniform shear loading by the equivalent uniform tensile force and pure bending moment at x=l. 3) The stress ${\sigma}_y$ is negligible throughout the region. 4) When the parameter b/L varies, the stresses ${\sigma}_x$ and u vary as L/b, while strain $\upsilon$ varies as $(L/b)^2$.

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인장-전단 하중을 받는 점용접부의 피로 수명 평가에 관한 연구 (A Study on the Fatigue Life Evaluation of Spot Welded Joints under Tensile-Shear Loading)

  • 정강;김훈
    • 동력기계공학회지
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    • 제5권1호
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    • pp.80-88
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    • 2001
  • The spot welding method has been used in the joining of structures, automotive body, railway carriage, aircraft, household electric appliances, precision parts etc., because of brief working, easy automation, available mass production, and convenience. In this paper, the effects of welding conditions on the fatigue life and the prediction of fatigue life based on fracture mechanics theory of spot welded joint were investigated. Fatigue tests were conducted with the tensile-shear specimens welded in the various current using cold rolled steel sheets. Fatigue life of spot welded joint was predicted and compared with experimental results. Using FEM(finite element method), we analysed the distribution of stress and the condition of deformation on the environments of nugget.

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연화부를 포함한 판재의 항복거동과 항복강도 (Yielding behavior and yield strength of plate structure containing softened region)

  • 배강열;김희진;이태열;엄동석
    • Journal of Welding and Joining
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    • 제8권3호
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    • pp.79-88
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    • 1990
  • Welded joint often contains soft or softened regions such as the HAZ of TMCP steel welded with high heat input. In this study, the equivalent yield strength of plate structure containing softened region was predicted by FEM analysis, and its incremental behavior was explained with the results of the analysis. The calculated results of yield strength indicated the following for the plate structures. 1) As the softened region starts to yield, shear stress begins to build up along the boundary between base metal and softened region. This results in multi-axial stress condition which gives restraint on the softened region. 2) Restraint effect has a significant influence on the distribution of the shear stress, the nominal stress, and the strain. 3) The yielding behavior of softened region becomes the same as that of base metal when both ratios of length to width and thickness to width of softened region are larger than 30 and 13 respectively.

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비충전 및 충전 원형기둥-상자형보 접합부의 응력분포특성 (Stress Distribution Behavior Hollow and Felled Circular Column Column-Box Beam Connections)

  • 황원섭;박용명;최원경;김영필
    • 한국강구조학회 논문집
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    • 제14권3호
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    • pp.433-441
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    • 2002
  • 본 연구에서는 원형기둥과 상자형보로 이루어진 접합부의 응력분포에 관하여 검토하였다. 접합각도를 변수로 하는 총 12개의 비충전 및 충전 원형기둥-상자형보 접합부에 대한 실험을 수행하였다. 접합부의 수직 및 전단응력 분포특성을 파악하기 위해 우선 기존 설계식에서 주로 사용하고 있는 환산깊이 dc'및 추가적의 환산깊이를 도입하여 검토하였고 이를 적용하여 계산한 응력값을 실험값과 비교.검토하였다. 그 결과 비충전 및 충전접합부의 수직 및 전단응력 실험값은 설계식에 의한 값과 많은 차이점을 나타냄을 알 수 있었고, 환산깊이 dc'은 접합각도가 커질수록 급격히 감소하여 설게식에 적용하기에는 한계가 있음을 확인하였다. 또한 충전 접합부가 비충전 접합부에 비해 작은 응력값을 나타냈으며 충전접합부의 실험값을 비충전 접합부의 응력산정 방법을 준용하는 현행 설계식의 값과 비교. 분석하였다.

재구성 점토의 반복전단강도 및 전단탄성계수의 재하 주파수 의존성 (Loading Frequency Dependencies of Cyclic Shear Strength and Elastic Shear Modulus of Reconstituted Clay)

  • 이시가키 시게나오;연규석;김용성
    • 한국농공학회논문집
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    • 제52권3호
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    • pp.73-79
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    • 2010
  • In the present study, the loading frequency dependencies of cyclic shear strength and elastic shear modulus of reconstituted clay were examined by performing undrained cyclic triaxial tests and undrained cyclic triaxial tests to determine deformation properties. The result of undrained cyclic triaxial test of reconstituted and saturated clay shows that a faster frequency leads to higher stress amplitude ratio, but when the frequency becomes fast up to a certain point, the stress amplitude ratio will reach its maximum limit and the frequency dependence becomes insignificant. And also, the result of undrained cyclic triaxial deformation test shows a fact that a faster loading frequency leads to higher equivalent shear modules and smaller hysteresis damping ratio, and confirms the frequency dependence of cohesive soil. Meanwhile, the result of the creep test shows that continuing creep is created in the undrained cyclic triaxial test with slow loading frequency rate, and since loading rate becomes slower at the vicinity of the maximum and the minimum deviator stress due to sine wave loading, the vicinity of the maximum and the minimum deviator stress shall be more influenced by creep.

지반응답해석기법의 차이에 의한 지반응답 분산도 평가 (Influence of Analysis Models on Variation of Ground Response during Earthquake)

  • 김성렬;최재순;김수일;박대영;박성용;김기풍
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2007년 가을학술발표회
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    • pp.317-333
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    • 2007
  • The Round-Robin Test (RRT) for ground response analysis was performed by Division of Geotechnical Earthquake Engineering of Korean Geotechnical Society. This research analyzed the influence of analysis methods on variation of ground response by using the results of this RRT. The analysis methods include equivalent linear analysis, non-linear analysis and effective stress analysis. A total of 5 teams among 12 teams applied two kinds of analysis methods. This research compared the results of these 5 teams and analyzed the variation of the results according to analysis methods. The compared results were shear stress-shear strain relation, transfer function, time history and the response spectrum of ground surface acceleration, peak ground acceleration, peak shear strain and maximum excess pore pressure ratio.

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연속체 암반비탈면의 강도정수 산정 연구 (A Study on Estimating Shear Strength of Continuum Rock Slope)

  • 김형민;이수곤;이벽규;우재경;허익;이준기
    • 한국지반공학회논문집
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    • 제35권5호
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    • pp.5-19
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    • 2019
  • 암반으로 구성되어 있는 급경사($65^{\circ}{\sim}85^{\circ}$)비탈면이 장기간 안정한 상태로 유지되고 있는 자연현상을 고려할 때, 설계 및 초기 시공 단계에서 위와 유사한 지반 상태로 이루어진 깎기 암반비탈면에 대해 1:0.5(발파암 경사 기준)보다 급한 경사를 적용할 수 있을 것이다. 급경사로 설계 가능한 양호한 연속체 암반비탈면의 안정성을 검토하는 과정에서, 설계실무 측면에서 범용적인 암반강도정수 산정방법이 필요하게 되었다. Hoek 등(2002)이 수정 보완하여 발표한 Hoek-Brown 파괴기준과 GSI분류는 불연속구조의 영향을 충분히 고려한 암반특성화 시스템으로 평가되었으며, 응력변화에 따라 등가 Mohr-Coulomb 강도정수(등면적법)를 산출하는 방법을 제안하였다. 비탈면에서는 등가 M-C 강도정수가 최대구속응력(${{\sigma}^{\prime}}_{3max}$ 또는 수직응력)변화에 따라 민감하게 변화하므로 실무적으로 활용하기에 어려운 점이 있다. 이 연구에서는 양호한 연속체 암반비탈면에 대해 최대구속응력 범위이내에서 범용적으로 적용할 수 있는 강도정수산정방법(등각분할법)을 H-B 파괴기준을 응용하여 제안한다. 등각분할법 강도정수(A)의 타당성 및 적용성을 평가하기 위해, 연구대상 암반비탈면을 기존 실시설계 현장 인근에 있는 급경사 비탈면에서 암석종류별(화성암, 변성암, 퇴적암)로 선정하고, Hoek이 제시한 등가 M-C 강도정수(등면적법)들과 비교 분석하였다. 등면적법 및 등각분할법 등가 M-C 강도정수는 기본적인 자료인 기존 실시설계 현장의 실내 암석 삼축압축시험과 연구대상 암반비탈면의 불연속구조의 특성조사(Face Mapping)를 통해 RocLab 프로그램(H-B 파괴기준을 기본으로 전산화된 지반정수 산정 소프트웨어)을 활용하여 산정하였다. 산정된 등면적법 등가 M-C 강도정수는 상호 연동되어 점착력과 내부마찰각이 아주 크거나($45^{\circ}$ 이상) 작게 나타났다. 등각분할법 등가 M-C 강도정수는 등면적법 등가 M-C 강도정수의 중간 정도이며, 내부마찰각은 $30^{\circ}{\sim}42^{\circ}$의 범위를 보인다. 연구대상 암반비탈면의 등각분할법 강도정수(A)와 기존 실시 설계 현장에서 연구대상 암반비탈면과 유사한 암반상태(동일 등급 RMR)에 적용한 강도정수(B)와 비교 분석하고, 이 지반정수들로 적용한 비탈면 안정해석(한계평형해석과 유한요소해석) 결과를 통해 제안한 등각분할법의 적용성을 간접적으로 평가하였다. A와 B의 강도정수 차이는 10% 정도이다. 한계평형해석 결과(우기 기준), A적용 안전율(Fs)=14.08~58.22(평균 32.9), B적용 안전율(Fs)=18.39~60.04(평균 32.2)이며, 각 동일한 암석종류에 따라 상호 유사하게 나타났다. 유한요소 해석 결과, A적용 변위=0.13~0.65mm(평균 0.27mm), B적용 변위=0.14~1.07mm(평균 0.37mm)으로 매우 유사하다. H-B 파괴기준을 응용하여 등각분할법으로 산출한 지반 정수를 실무적인 전단강도로 적용할 수 있는 적용성 평가에서 유의미한 결과를 확인할 수 있었다.