• Journal of the Korean Geotechnical Society
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• v.22 no.9
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• pp.23-36
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• 2006

This study presents the development of a new closed-form analytical solution for the ultimate bearing capacity of an embedded wall in a granular mass. The closed-form analytical solution consists of upper and lower bound solutions (UB and LB). The calculated values from these bound solutions were compared with the author's two-dimensional laboratory wall model loading test and finite element analysis in the plastic region. The comparison showed that ultimate bearing loads from both the model test and finite element analysis are located between UB and LB. In particular, the ultimate bearing load from LB showed good agreement with the ultimate bearing load values from both the model test and finite element analysis. However, the calculated value from the conventional empirical form subjected to plane-strain conditions was shown to be much smaller than the LB.

• Proceedings of the Korean Statistical Society Conference
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• 2005.05a
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• pp.31-36
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• 2005

EDF에 근거한 Cramer-von Mises 형태의 통계량을 합교원리를 이용하여 다변량으로 일반화한다. 그리고 제안된 통계량의 귀무가설에서의 극한분포를 적절한 공분산함수를 가진 가우스 과정의 적분의 형태로 표현하고 통계량의 근사적인 계산방법을 고려한다.

• Magazine of the Korea Concrete Institute
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• v.5 no.2
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• pp.151-161
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• 1993

본 논문은 전단철근을 갖지 않는 비교적 짧은 지간의 철근콘크리트 보에서 전단특성을 규명하고 균열전단강도와 극한전단강도를 예측하기 위한 것으로 총30개의 보를 4 series로 나누어 실험을 수행하였다. 실험의 변수는 콘크리트의 강도, 전단지간-유효높이의 비, 인장철근량등이며, 실험과정을 통해 파괴형상, 처짐, 전단강도등을 측정하였다. 실험결과로부터 콘크리트의 강도가 커지고 철근량이 많아질수록, 그리고 전단지간이 짧아질수록 철근콘크리트 보의 균열 및 극한전단강도가 증가됨을 밝혔다. 또한, 실험성과를 회귀분석하여 균열전단강도와 극한전단강도 추정식을 제안하였다. 제안된 추정식에 의한 계산값과 실험성과를 비교 검토하여 그 상관성을 확인하였다.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.379-398
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• 2011

In learning environment at mathematics education, prove and refute are essential abilities to demonstrate whether and why a statement is true or false. Learning proofs and counter examples within the domain of limit of sequence is important because preservice teacher encounter limit of sequence in many mathematics courses. Recently, a number of studies have showed evidence that pre service and students have problem with mathematical proofs but many research studies have focused on abilities to produce proofs and counter examples in domain of limit of sequence. The aim of this study is to contribute to research on preservice teachers' productions of proofs and counter examples, as participants showed difficulty in writing these proposition. More importantly, the analysis provides insight and understanding into the design of curriculum and instruction that may improve preservice teachers' learning in mathematics courses.

• School Mathematics
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• v.11 no.4
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• pp.707-722
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• 2009

Various theories of mathematics education which have been considered by many European researchers particularly, in France, recently are introduced. The Anthropological Theory of the didactic discussed by Chevallard will be briefly introduced. Then the praxeology as Anthropological model according to Chevallard's theory will be discussed. The necessity of Anthropological Theory, its background of development through transition process of didactic, and its basic elements will be discussed further. Additionally, teaching limit of sequences in high school mathematics will be suggested according to the theory.

• Proceedings of the Korea Water Resources Association Conference
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• 2020.06a
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• pp.38-38
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• 2020

SPI지수는 강수량이 감소하기 시작하면 필요한 물수요에 비해서 상대적으로 물부족을 유발하게 되고, 가뭄발생의 발단이 된다는 것에 착안하여 개발된 지수이다. 하지만 다른 가뭄지수와 마찬가지로 강수량 또는 유출량 시계열을 상대적인 표준정규분포로 산정하였기 때문에 인근 지역에 비해 상대적으로 강수량이 많은 지역도 실제로 발생하지 않은 가뭄이 발생한다고 분석이 된다. 이러한 현상을 완화시키기 위해 수정된 가뭄분석 기법이 요구된다. 이에 Jeung et. al(2019)은 이런 현상을 완화시키기 위해 SPI지수 계산과정에서 해당지점의 시계열을 대상으로 계산되는 Gamma 분포를 전국으로 확장 시켜 산정 후 표준정규분포에 적용하여 가뭄지수를 산정하였다. 또한 과거 제한급수가 발생했던 지역을 대상으로 극한가뭄과 가뭄지속기간을 이용하여 M-SPI지수의 효용성을 확인한 결과, 제한급수 실시년도와 SPI, M-SPI 결과와의 비교결과 과거 가뭄을 정확하게 모사하는 것을 확인하였다. 하지만 M-SPI는 전국을 하나의 지역으로 가정하여 산정하였고, 증발산량과, 고도 등 지형의 특성을 고려하지 않았기 때문에 일부의 가뭄사상을 재현하지 못하였다. 이에 본 연구에서는 기상학적 인자와, 지형학적 인자를 고려하여 지역화를 하고, 각 지역별로 대표 확률분포를 산정하여 가뭄지수를 산정하고자 한다. 또한 한국 기상청에서 제공하고 있는 국가 표준기후변화 시나리오를 수집하여 M-SPI에 적용하여 미래 극한 가뭄빈도의 변화를 전망하고자 한다.

• Geotechnical Engineering
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• v.11 no.2
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• pp.29-36
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• 1995

Load testis are executed on model reticulated root piles (RRP) to figure out the optimum slanting angle in the piles installation. One set of model RRP consists of 8 slanting piles which are installed in circular patterns forming two concentric circles, each of which is made by 4 piles. Each pile which is a steel bar of 5m in diameter and 300mm in length is coated to become a pile of 6.5mm in diameter. The slanting angle of the model RRP varies from 0$^{\circ}$ to 20$^{\circ}$ Comparing ultimate bearing capacities of the model RRP of different installation angles, it is observed that the ultimate capacities of the RRP increase as the installation angle increases until 15$^{\circ}$, and the optimum slanting angle of the RRP is around 15$^{\circ}$ The ultimate bearing capacity of the 15$^{\circ}$-RRP is found to be 22% bigger than that of the vertical RRP and 120% bigger than that of the circular surface footing whose diameter is same with the circle formed by outer root piles'heads. However, it is noticed that when the slanting angle of the RRP is increased over 15$^{\circ}$, the ultimate capacity starts to be reduced. The ultimate capacity of 20$^{\circ}$-RRP is even smaller than that of the vertical RRP by as much as 5%. From the observation of the load settlement curve obtained during the RRP load tests, it is known that as the slanting angle gets bigger the load -settlement behavior becomes more ductile.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.15 no.1
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• pp.95-104
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• 2002

A methods to calculate non-linear moment-curvature relations of high-strength PSC flexural members for numerical analysis has been proposed. The moment-curvature relations were calculated with assumptions of design codes and by the layer method. The results of the proposed procedures for moment-curvature relations and numerical analysis were compared with those of pre-existing tests. The absorption energy rate of the design codes was about 30% larger than that of the layer method. The ultimate load and the external work of the layer method were 90% and 85% of those of tests, respectively The ultimate load of the strength design method was 97% of that of tests, but the external work was over-estimated with 122%. The ultimate load and external work by the proposed equation of the CEB-FIP Model Code were 113% and 173% of those of tests, respectively. It show that the use of ultimate strain of 0.0035 should be over-estimated for high-strength concrete. The procedure of non-linear numerical analysis of this research could be stably simulated the behavior of concrete flexural members until the ultimate state, and calculate results of the load-deflection relation and cracking pattern were very similar with those of tests.

• Communications of Mathematical Education
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• v.12
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• pp.303-315
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• 2001

본 논문에서는 고등학교 수학교과 7차 교육과정중 미분 단원의 교수 학습을 위한 프로그램을 Visual Basic 프로그램으로 설계한 과정과 그 기능을 기술하였다. 함수의 미분을 위한 초기의 좌표와 미분할 점의 좌표, 실행회수 등의 데이터를 입력 ${\cdot}$ 실행하여 그 결과(접근과정)를 화면에 도표와 그래프로 나타나게 하였고 미분단원의 ‘학습내용’과 ‘사용설명’의 기능을 추가하였다. 보조계산이나 함수의 입력을 위해 “함수값 계산”, “극한값 계산”, “함수입력판” 등의 창(폼)을 설치하였다. 이 프로그램은 일선 학교 교육 현장에서 수학 교수-학습을 위한 효율적인 시청각 자료로 활용 될 수 있을 것이다.

• Journal of Korean Society of Steel Construction
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• v.29 no.2
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• pp.123-134
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• 2017

Ultimate axial strength of longitudinally stiffened cylindrical steel shells for wind turbine tower was investigated by applying the geometrically and materially nonlinear finite element method. The effects of radius to thickness ratio of shell, shape and amplitude of initial imperfections, area ratio between effective shell and stiffener, and stiffener spacing on the ultimate axial strength of cylindrical shells were analyzed. The ultimate axial strengths of stiffened cylindrical shells by FEA were compared with design buckling strengths specified in DNV-RP-C202. The shell buckling modes obtained from a linear elastic bifurcation FE analysis as well as the weld depression during fabrication specified in Eurocode 3 were introduced in the nonlinear FE analysis as initial geometric imperfections. The radius to thickness ratio of cylindrical shell models was selected to be in the range of 50 to 200. The longitudinal stiffeners were designed according to DNV-RP-C202 to prevent the lateral torsional buckling and local buckling of stiffeners.