• 제목/요약/키워드: Experimental equation

검색결과 3,542건 처리시간 0.029초

전단보강근이 없는 철근콘크리트 보의 전단강도 예측 모델식 제안 (Model Equation for Shear Strength of Reinforced Concrete Beams without Web Reinforcement)

  • 김진근;박연동
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1993년도 봄 학술발표회 논문집
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    • pp.124-129
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    • 1993
  • In this study, a simple and accurate model equation for prediction of shear strength of reinforce concrete beams without web, reinforcement is proposed based on basic shear transfer mechanism and modified Bazant's size effect law. The proposed equation includes the effects of concrete strength, longitudinal steel ratio, shear span to depth ratio and effective depth. Comparisons with published experimental data indicate that the proposed equation estimates properly the effects of these factors. Among many equations, ACI code equation, Zsutty's equation and Bazant's equation are selected for comparison. As the result, the accuracy of the proposed equation is better than that of any other equations.

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다중 균열을 갖는 신장 보의 균열 에너지와 지배방정식 (Crack Energy and Governing Equation of an Extensible Beam with Multiple Cracks)

  • 손수덕
    • 한국공간구조학회논문집
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    • 제24권1호
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    • pp.65-72
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    • 2024
  • This paper aims to advance our understanding of extensible beams with multiple cracks by presenting a crack energy and motion equation, and mathematically justifying the energy functions of axial and bending deformations caused by cracks. Utilizing an extended form of Hamilton's principle, we derive a normalized governing equation for the motion of the extensible beam, taking into account crack energy. To achieve a closed-form solution of the beam equation, we employ a simple approach that incorporates the crack's patching condition into the eigenvalue problem associated with the linear part of the governing equation. This methodology not only yields a valuable eigenmode function but also significantly enhances our understanding of the dynamics of cracked extensible beams. Furthermore, we derive a governing equation that is an ordinary differential equation concerning time, based on orthogonal eigenmodes. This research lays the foundation for further studies, including experimental validations, applications, and the study of damage estimation and detection in the presence of cracks.

임계 축척 이론을 이용한 카타야마 식의 수정 (Katayama Equation Modified on the Basis of Critical-Scaling Theory)

  • 임경희
    • 한국응용과학기술학회지
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    • 제23권3호
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    • pp.185-191
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    • 2006
  • It is desirable to have an accurate expression on the temperature dependence of surface(or interfacial) tension ${\sigma}$, because most of the interfacial thermodynamic functions can be derived from it. There have been proposed several equations on the temperature dependence of the surface tension, ${\sigma}(T)$. Among them $E{\ddot{o}}tv{\ddot{o}}s$ equation and the one modified by Katayama, which is called Katayama equation, for improving accuracies of $E{\ddot{o}}tv{\ddot{o}}s$ equation close to critical points, have been most well-known. In this article Katayama equation is interpreted on the basis of the cell model to understand the nature of the equation. The cell model results in an expression very similar to Katayama equation. This implies that, although $E{\ddot{o}}tv{\ddot{o}}s$ and Katayama equations were obtained on the basis of experimental results, they have a sound theoretical background. The Katayama equation is also modified with the phase volume replaced with a critical scaling expression. The modified Katayama equation becomes a power-law equation with the exponent slightly different from the value obtained by critical-scaling theory. This implies that Katayama equation can be replaced by a critical-scaling equation which is proven to be accurate.

직교배열법에 의한 칩절단특성 예측 (Pridiction of chip breakability by an orthogonal array method)

  • 이영문;양승한;권오진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.1008-1011
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    • 2001
  • The purpose of this paper is to evaluate the chip breakability during turning using the experimental equation, which is developed by an orthogonal array method. The chip breaking index(CB), non-dimensional parameter is used in the evaluation of chip breakability. The analysis of variance(ANOVA)-test has been used to check the significance of cutting parameters. And using the result of ANOVA-test, the experimental equation of chip breakability, which consists of significant cutting parameters, has been developed.

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다층 점탄성재료의 진동감쇠 특성에 관한 연구 (Vibration Damping Analysis of Multi-Layered Viscoelastic Material)

  • 윤영식;황동환;이상조
    • 소음진동
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    • 제4권4호
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    • pp.487-496
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    • 1994
  • Recently, the application of viscoelastic material in the field of vibration isolation has gradually increased due to its achievement in structural damping capacity, and many of the theoretical and experimental study has been carried out. In this study, the dynamic characteristics of the visoelastically supported cantilever beam, of which govering equation is based on the Bernoulli- Euler equation, is analyzed theoretically and experimentally. Expression for stiffness of multi-layered viscoelastic materal has been developed using variables such as frequency and number of layers, and further, based on this expression, damping characteristic of the beam is investigated with experimental verification.

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피로 균열 전파 거동에 대한 실험식 (An Experimental Equation on the Fatigue Crack Growth Rate Behavior)

  • 김상철;강동명;우창기
    • 한국정밀공학회지
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    • 제8권2호
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    • pp.27-35
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    • 1991
  • We propose the crack growth rate equation which applied over three regions (threshold region, stable region, unstable region) of fatigue crack propagation. Constant stress amplitude fatigue tests are conducted for four materials under three stress ratios of R=0.05, R=0.2 and R=0.4. Materials which have different mechanical properties i.e. stainless steel, low carbon steel, medium carbon steel and aluminum alloy are used. The fatigue crack growth rate equation is given by $da/dN={\beta} (1-R)^{\delta}\({\DELTA}K-{\DELTA}K_t)^{\alpha} / (K_{cf}-K_{max})$${\alpha}, {\beta}$ , and ${\delta}$ are constants, and ${\Delta}K_t$ is stress intensity factor range at low ${\Delta}K$ region. The constants are obtained from nonlinear least square method. $K_{ef}$is critical fatigue stress intensity factor. The relation between half crack length and number of cycles obtained by integrating the crack growth rate equation is in agreement with the experimental data. It is also experimented with constant maximum stress and decreasing stress ratios, and the fatigue growth rate of each material is in accord with the proposed equation.

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Fokker-plank 방정식의 해석을 통한 Langevine 경쟁학습의 동역학 분석 (Analysis of the fokker-plank equation for the dynamics of langevine cometitive learning neural network)

  • 석진욱;조성원
    • 전자공학회논문지C
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    • 제34C권7호
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    • pp.82-91
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    • 1997
  • In this paper, we analyze the dynamics of langevine competitive learning neural network based on its fokker-plank equation. From the viewpont of the stochastic differential equation (SDE), langevine competitive learning equation is one of langevine stochastic differential equation and has the diffusin equation on the topological space (.ohm., F, P) with probability measure. We derive the fokker-plank equation from the proposed algorithm and prove by introducing a infinitestimal operator for markov semigroups, that the weight vector in the particular simplex can converge to the globally optimal point under the condition of some convex or pseudo-convex performance measure function. Experimental resutls for pattern recognition of the remote sensing data indicate the superiority of langevine competitive learning neural network in comparison to the conventional competitive learning neural network.

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크기효과를 고려한 고강도 콘크리트 보의 전단강도 예측식 제안 (Prediction of Shear Strength in High-Strength Concrete Beams Considering Size Effect)

  • 배영훈;윤영수
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2003년도 봄 학술발표회 논문집
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    • pp.878-883
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    • 2003
  • To modify some problems of ACI shear provisions, ultimate shear strength equation considering size effect and arch action to compute shear strength in high-strength concrete beams without stirrups is presented in this research. Three basic equations, namely size reduction factor, rho factor, and arch action factor, are derived from crack band model of fracture mechanics, analysis of previous some shear equations for longitudinal reinforcement ratio, and concrete strut described as linear function in deep beams. Constants of basic equations are determined using statistical analysis of previous shear testing data. To verify proposed shear equation for each variable, namely d, , ρ, f/sub c/' and aid, about 250 experimental data are used and proposed shear equation is compared with ACI 318-99 code, CEB-FIP Model code, Kim & Park's equation and Zsutty's equation. While proposed shear equation is simpler than other shear equations, it is shown to be economical predictions and reasonable safety margin. Hence proposed shear strength equation is expected to be applied to practice shear design.

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The Relationship between Splitting Tensile Strength and Compressive Strength of Fiber Reinforced Concretes

  • Choi, Yeol;Kang, Moon-Myung
    • 콘크리트학회논문집
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    • 제15권1호
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    • pp.155-161
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    • 2003
  • This paper presents experimental and analytical results of glass fiber-reinforced concrete (GFRC) and polypropylene fiber-reinforced concrete (PERC) to investigate the relationship between tensile strength and compressive strength based on the split cylinder test (ASTM C496) and compressive strength test (ASTM C39). Experimental studies were performed on cylinder specimens having 150 mm in diameter an 300 mm in height with two different fiber contents (1.0 and 1.5% by volume fraction) at ages of 7, 28 and 90 days. A total of 90 cylinder specimens were tested including specimens made of the plain concrete. The experimental data have been used to obtain the relationship between tensile strength and compressive strength. A representative equation is proposed for the relationship between tensile strength and compressive strength of fiber-reinforced concrete (FRC) including glass and polypropylene fibers. There is a good agreement between the average experimental results and those calculated values from the proposed equation.

Tag 개방식 장치를 이용한 n-Propanol+n-Decane 계의 하부인화점 측정 및 예측 (Measurement and Prediction of the Lower flash Point for n-Propanol+n-Decane System Using the Tag Open-Cup Apparatus)

  • 하동맹
    • 한국안전학회지
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    • 제20권2호
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    • pp.162-168
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    • 2005
  • 노말프로판올과 노말데칸의 가연성혼합물의 하부인화점을 Tag개방식 장치를 이용하여 측정하였다. 실험결과 인화점과 조성의 관계에서 혼합물 보다 낮은 인화점을 보여주었다. 노말 프로판올의 몰분율 0.71에서 $27^{\circ}C$였으며, 노말프로판올의 인화점은 $28^{\circ}C$였다. 실험 결과는 이상용액을 근거로 한 예측 값과 활동도계수 예측식인 van Laar식을 사용하여 계산된 값을 각각 비교하였다. 이상용액 개념을 이용한 예측 값은 실험 값과 차이를 보였으나, van Laar 식에 의한 예측 값은 실험 값과 일치하였으며, van Laar식에 의한 예측 값과 실험 값은 평균 $0.83^{\circ}C$차이를 보였다. 본 연구에서 제시된 방법론은 가연성물질에 대해 안전한 저장 및 취급하는 조건의 결정과 같은 화학공정 설계의 본질적 안전 설계에 적용할 수 있다.