• 제목/요약/키워드: Equivalent Shear Stress

검색결과 132건 처리시간 0.024초

Probabilistic Q-system for rock classification considering shear wave propagation in jointed rock mass

  • Kim, Ji-Won;Chong, Song-Hun;Cho, Gye-Chun
    • Geomechanics and Engineering
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    • 제30권5호
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    • pp.449-460
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    • 2022
  • Safe underground construction in a rock mass requires adequate ground investigation and effective determination of rock conditions. The estimation of rock mass behavior is difficult, because rock masses are innately anisotropic and heterogeneous at different scales and are affected by various environmental factors. Quantitative rock mass classification systems, such as the Q-system and rock mass rating, are widely used for characterization and engineering design. The measurement of rock classification parameters is subjective and can vary among observers, resulting in questionable accuracy. Geophysical investigation methods, such as seismic surveys, have also been used for ground characterization. Torsional shear wave propagation characteristics in cylindrical rods are equal to that in an infinite media. A probabilistic quantitative relationship between the Q-value and shear wave velocity is thus investigated considering long-wavelength wave propagation in equivalent continuum jointed rock masses. Individual Q-system parameters are correlated with stress-dependent shear wave velocities in jointed rocks using experimental and numerical methods. The relationship between the Q-value and the shear wave velocity is normalized using a defined reference condition. This relationship is further improved using probabilistic analysis to remove unrealistic data and to suggest a range of Q-values for a given wave velocity. The proposed probabilistic Q-value estimation is then compared with field measurements and cross-hole seismic test data to verify its applicability.

A new finite element procedure for fatigue life prediction of AL6061 plates under multiaxial loadings

  • Tarar, Wasim;Herman Shen, M.H.;George, Tommy;Cross, Charles
    • Structural Engineering and Mechanics
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    • 제35권5호
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    • pp.571-592
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    • 2010
  • An energy-based fatigue life prediction framework was previously developed by the authors for prediction of axial, bending and shear fatigue life at various stress ratios. The framework for the prediction of fatigue life via energy analysis was based on a new constitutive law, which states the following: the amount of energy required to fracture a material is constant. In the first part of this study, energy expressions that construct the constitutive law are equated in the form of total strain energy and the distortion energy dissipated in a fatigue cycle. The resulting equation is further evaluated to acquire the equivalent stress per cycle using energy based methodologies. The equivalent stress expressions are developed both for biaxial and multiaxial fatigue loads and are used to predict the number of cycles to failure based on previously developed prediction criterion. The equivalent stress expressions developed in this study are further used in a new finite element procedure to predict the fatigue life for two and three dimensional structures. In the second part of this study, a new Quadrilateral fatigue finite element is developed through integration of constitutive law into minimum potential energy formulation. This new QUAD-4 element is capable of simulating biaxial fatigue problems. The final output of this finite element analysis both using equivalent stress approach and using the new QUAD-4 fatigue element, is in the form of number of cycles to failure for each element on a scale in ascending or descending order. Therefore, the new finite element framework can provide the number of cycles to failure at each location in gas turbine engine structural components. In order to obtain experimental data for comparison, an Al6061-T6 plate is tested using a previously developed vibration based testing framework. The finite element analysis is performed for Al6061-T6 aluminum and the results are compared with experimental results.

Experimental study on the compressive stress dependency of full scale low hardness lead rubber bearing

  • Lee, Hong-Pyo;Cho, Myung-Sug;Kim, Sunyong;Park, Jin-Young;Jang, Kwang-Seok
    • Structural Engineering and Mechanics
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    • 제50권1호
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    • pp.89-103
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    • 2014
  • According to experimental studies made so far, design formula of shear characteristics suggested by ISO 22762 and JEAG 4614, representative design code for Lead Rubber Bearing(LRB) shows dependence caused by changes in compressive stress. Especially, in the case of atypical special structure, such as a nuclear power structure, placement of seismic isolation bearing is more limited compared to that of existing structures and design compressive stress is various in sizes. As a result, there is a difference between design factor and real behavior with regards to shear characteristics of base isolation device, depending on compressive stress. In this study, a full-scale low hardness device of LRB, representative base isolation device was manufactured, analyzed, and then evaluated through an experiment on shear characteristics related to various compressive stresses. With design compressive stress of the full-scale LRB (13MPa) being a basis, changes in shear characteristics were analyzed for compressive stress of 5 MPa, 10 MPa, 13 MPa, 15 MPa, and 20 MPa based on characteristics test specified by ISO 22762:2010 and based on the test result, a regression analysis was made to offer an empirical formula. With application of proposed design formula which reflected the existing design formula and empirical formula, trend of horizontal characteristics was analyzed.

수위-유량자료가 부재한 자갈하천의 조도계수 산정에 관한 연구 (A Study on Roughness Coefficient Estimations in Gravel Bed Stream without Water Level-Discharge Data)

  • 이신재;박상우
    • 한국수자원학회논문집
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    • 제39권12호
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    • pp.985-996
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    • 2006
  • 본 연구는 자갈하천에서 하상에 분포하는 입자에 작용하는 전단력을 이용하여 등가조도를 산정할 수 있는 모형을 개발하였다. 산정된 등가조도는 수위-유량자료가 부재한 하천에서 유량에 대한 수위를 산정하고 조도계수를 산정하는데 이용하였다. 대상하천은 섬진강의 중 하류부인 구례수위표와 송정수위표 구간으로 선정하였다. 등가조도는 개발된 모형에 의해 구례수위표지점에서 0.194m가 산정되었다. 산정된 등가조도를 흐름모형에 적용하여 계산된 수위유량자료를 관측된 자료와 비교한 결과 6% 이내의 오차를 보였다. 조도계수는 대상구간에 대해 부정류 해석을 실시하여 유량규모별로 계산된 수위와 관측된 수위에 대해 산정하였다. 그 결과 관측된 수위와 계산된 수위에 의해 산정된 조도계수는 $0{\sim}0.002$의 오차를 보였고, 조도계수의 가변성도 고려할 수 있었다.

유효응력해석과 등가선형해석을 이용한 매립지반의 액상화 평가 (Liquefaction Evaluation of Reclaimed Sites using an Effective Stress Analysis and an Equivalent Linear Analysis)

  • 박성식
    • 대한토목학회논문집
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    • 제28권2C호
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    • pp.83-94
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    • 2008
  • 본 연구에서는 흙의 미소변형에서 대변형까지 고려할 수 있는 유효응력해석을 이용하여 매립지반에 대한 액상화 및 진동으로 발생하는 침하량을 예측하였다. 유효응력모델은 진동 중에 발생하는 과잉간극수압을 계산하여 이에 따른 흙의 강성저하와 수반되는 지반의 변위를 모델링하였다. 진동으로 인한 지반의 변형률 수준이 작은 경우에 적합한 등가선형해석을 이용한 액상화 평가를 실시하여 유효응력모델을 이용한 예측법과 비교하였다. 등가선형해석에서 계산된 전단응력비에 해당하는 표준관입시험치를 국내에서 발생 가능한 지진규모와 실트질 함유량에 따라 콘관입저항치로 환산한 값과 현장에서 계측된 콘관입저항치를 서로 비교하여 액상화 가능성을 예측하였다. 두 곳의 인천지역 매립지에 대한 액상화 해석을 위하여 매립지에서 계측된 콘관입저항치와 전단파 속도를 이용하여 입력 물성값을 결정하였다. 인천 매립지에 대한 두 액상화 해석 방법의 결과는 액상화 발생 여부에서 유사하였으며 깊이에 따른 연속적인 액상화 판정과 얇은 층의 액상화 예측이 가능하여 액상화 예측의 정밀도를 높였다. 유효응력모델을 이용한 액상화 해석 결과는 지표면 아래 20m 이내에서 초기 유효수직응력의 40%~70% 정도의 과잉간극수압이 발생하였으며 이로 인하여 지표면에서 10cm 미만의 침하가 발생하였다.

A unified approach to shear and torsion in reinforced concrete

  • Rahal, Khaldoun N.
    • Structural Engineering and Mechanics
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    • 제77권5호
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    • pp.691-703
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    • 2021
  • Reinforced concrete (RC) beams can be subjected to a complex combination of shear forces (V), torsional moments (T), flexural moments (M) and axial loads (N). This paper proposes a unified approach for the analysis of these elements. An existing model for the analysis of orthogonally reinforced concrete membrane elements subjected to in-plane shear and normal stresses is generalized to apply to the case of beams subjected to the complex loading. The combination of V and T can be critical. Torsion is modelled using the hollow-tube analogy. A direct equation for the calculation of the thickness of the equivalent hollow tube is proposed, and the shear stresses caused by V and T are combined using a simple approach. The development and the evaluation of the model are described. The calculations of the model are compared to experimental data from 350 beams subjected to various combinations of stress-resultants and to the calculations of the ACI and the CSA codes. The proposed model provides the most favorable results. It is also shown that it can accurately model the interaction between V and T. The proposed model provides a unified treatment of shear in beams subjected to complex stress-resultants and in thin membrane elements subjected to in-plane stresses.

강재 상자형보-원형기둥 접합부의 응력평가식에 관한 연구 (A Study on the Stress Evaluation Equations for Steel Circular Column-to- Box Beam Connections)

  • 박용명;장원제;황원섭
    • 한국강구조학회 논문집
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    • 제16권5호통권72호
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    • pp.505-517
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    • 2004
  • 상자형보와 윈형기둥으로 구성된 강재교각 정합부의 응력평가식 제안에 대한 연구이다. 원형기둥을 각형으로 치환하여 사용하고 있는 기존의 응력평가식은 정합각도가 감소함에 따라 전단지언능력은 과소평가되고, 전단응력은 접협각도가 증가함에 따라 과대하게 평가되는 문제점이 있다. 따라서 이라한 문제점 을 보완하기 위해 다양한 매개변수, 즉 접합각도 (${\alpha}$), 전단지간/보의 폭비 (L/B) 기둥의 휨강성/보의 휨강성비 (k) 를 사용하여 유한요소해석을 수행하고 해석결과를 이용하여 기존 응력평가식의 문제점을 보완할 수 있는 응력평가식을 제안하였다. 한편, 허용응력 대비 극한내하력의 안전율을 검토하기 위해 재료 및 기하 비선형해석을 수행하여 제안식의 타당성을 확인하였다.

냉각인발된 쾌삭강의 외경선삭시 칩-공구 마찰 및 전단 특성 (Chip-Tool Friction and Shear Characteristics of Cold Drawn Free Machining Steels in Turning)

  • 이영문;조삼규;최수준;송태성;박태준
    • 한국정밀공학회지
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    • 제16권12호
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    • pp.198-203
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    • 1999
  • In this study, chip-tool friction and shear characteristics of cold drawn free machining steels in turning were assessed. To do this, a newly developed equivalent oblique cutting model was adopted. And for comparison with those of free machining steels, chip-tool friction and shear characteristics of conventional carbon steels were also investigated. The Pb-S free machining steel shows superior machinability to others. In case of the Bi-S free machining steel, the shear stress and the specific friction energy are relatively lower than those of conventional carbon steels, but its shear strain is relatively high, so it does not show any remarkable improvement of machinability.

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Analytical solutions to piezoelectric bimorphs based on improved FSDT beam model

  • Zhou, Yan-Guo;Chen, Yun-Min;Ding, Hao-Jiang
    • Smart Structures and Systems
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    • 제1권3호
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    • pp.309-324
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    • 2005
  • This paper presents an efficient and accurate coupled beam model for piezoelectric bimorphs based on improved first-order shear deformation theory (FSDT). The model combines the equivalent single layer approach for the mechanical displacements and a layerwise modeling for the electric potential. General electric field function is proposed to reasonably approximate the through-the-thickness distribution of the applied and induced electric potentials. Layerwise defined shear correction factor (k) accounting for nonlinear shear strain distribution is introduced into both the shear stress resultant and the electric displacement integration. Analytical solutions for free vibrations and forced response under electromechanical loads are obtained for the simply supported piezoelectric bimorphs with series or parallel arrangement, and the numerical results for various length-to-thickness ratios are compared with the exact two-dimensional piezoelasticity solution. Excellent predictions with low error estimates of local and global responses as well as the modal frequencies are observed.

Determination of Equivalent Roughness for Estimating Flow Resistance in Stabled Gravel-Bed River: I. Theory and Development of the Model

  • Park, Sang-Woo;Lee, Sin-Jae;Jang, Suk-Hwan
    • 한국환경과학회지
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    • 제17권11호
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    • pp.1203-1210
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    • 2008
  • Flow resistance in a natural stream is caused by complex factors, such as the grains on the bed, vegetation, and bed-form, reach profile. Flow resistance in a generally stable gravel bed stream is due to protrudent grains from bed. Therefore, the flow resistance can be calculated by equivalent roughness in gravel bed stream, but estimation of equivalent roughness is difficult because nonuniform size and irregular arrangement of distributed grain on natural stream bed. In previous study, equivalent roughness is empirically estimated using characteristic grain size. However, application of empirical equation have uncertainty in stream that stream bed characteristic differs. In this study, we developed a model using an analytical method considering grain diameter distribution characteristics of grains on the bed and also taking into account flow resistance acting on each grain. Also, the model consider the protrusion height of grain.