• Journal of the Korean Professional Engineers Association
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• v.16 no.4
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• pp.4-14
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• 1983

when one is designing a continuous bridge with variable cross sections, it is very troublesome to integrate explicitly load terms and various factor under consideration so that it has different moment of inertia at each cross section. In this paper to obtain the influence line of a arbitary-span continuous beam with variable cross sections, the value of some particular function due to a load at any point can be carried out by numerical integration instead of definite integral. The ordinate of the influence line equals the product of the magnitude of the final moment at each support due to unit moment at any support and the load terms due to unit load, measured at the point of application of the load. It is concluded that this method can be easily used to design continuous bridges with arbitary cross sections.

• 한국방재학회:학술대회논문집
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• 2010.02a
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• pp.83.2-83.2
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• 2010

Stepped I-beams having increased moment of inertia at one end(singly stepped beam) or both ends(doubly stepped beams) can often be seen in construction of bridges due to material economy and easy fabrication of the section. This paper presents the results of the parametric study of lateral torsional buckling of monosymmetric stepped I-beams with constant depth subjected to equal and opposite end moments applied at the end of the beam. Design recommendations were made based on the finite element results of the models having different combinations of monosymmetric ratio, stepped length ratio, flange thickness ratio and flange width ratio,. The proposed approximation is acceptable based on the parameters given having mostly conservative results. The proposed equation can be further used to extend the study to different loading conditions.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2000.10a
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• pp.201-208
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• 2000

This paper explores the non-linear behavior of tapered beam subjected to a floating concentrated load. For applying the Bernoulli-Euler beam theory to this beam, the bending moment at any point of elastica is obtained from the final equilibrium state. By using the bending moment equation and the Bernoulli-Euler beam theory, the differential equations governing the elastica of clamped-roller beam are derived, and solved numerically. Three kinds of tapered beam types are considered. The numerical results of the non-linear behavior obtained in this study are agreed quite well to the results obtained from the laboratory-scale experiments.

• Proceedings of the Korea Concrete Institute Conference
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• 2004.11a
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• pp.377-380
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• 2004

Reinforced concrete deep beams are commonly used in many structural applications, including transfer girders. pile caps, foundation walls. and offshore structures. In this paper. the shear behavior and reinforcement effects of simply supported reinforced concrete deep beam with variable depth subject to concentrated loads have been scrutinized using strut-and-tie model to verify the effects of variable depth. The analysis results show that strut-and-tie Model of ACI 318-02 code is very effective method to design of simply supported reinforced concrete deep beam with variable depth.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.11 no.8
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• pp.2734-2740
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• 2010

The free in-plane vibration of asymmetric circular curved beams with varying cross-section is analyzed by the differential quadrature method (DQM) neglecting transverse shearing deformation. Natural frequencies are calculated for the beams with various opening angles and boundary conditions. Results obtained by the DQM are compared with available results by other methods in the literature. It is found that the DQM gives the good accuracy even with a small number of grid points.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.21 no.4
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• pp.401-410
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• 2008

The natural frequency of a beam plays an important role in not only vibration analysis but also understanding its dynamic characteristics. It is complicated to analyse the natural frequency of a stepped beam with discontinuously varying section. Approximate analysis methods such as Rayleigh-Ritz method, FEM, etc. are frequently used for the vibration analysis of stepped beams. In such a case, accuracy of these methods depends upon the number of partitioned elements, the number of the iterations in calculation and the assumed mode shape. This study presents an approximate analysis method for the fundamental natural frequency analysis of stepped cantilever beam, using equivalent beam transformation technique. Validity and usefulness are verified by comparing the proposed method with FEM for several example problems.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.19 no.1 s.71
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• pp.55-62
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• 2006

The natural frequency of a beam plays a critical role in the dynamic analysis of beams. Especially it is a complicated and difficult task to analyse the natural frequency of a stepped beam with an irregularly varying section. The lumped mass methods, multi-degree of freedom analyses, are mainly used for the analysis of this kind of stepped beams. The accuracy of these methods are determined by the number of the partitions of elements, the number of the iterations in calculation, and the accuracy of assumed mode shapes. This study presents a method of transformation from symmetrically stepped beams to an equivalent beam and a method of the eigenvalue analysis. Appropriateness and utility of this method are demonstrated by comparing examples from other literatures and various models.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.685-685
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• 2012

농업용수 및 친수공간 확보, 경관 향상 등의 다양한 목적을 위한 보의 건설은 하천의 흐름을 차단하여 보를 기준으로 상 하류의 흐름특성을 변하게 하고 토사퇴적에 많은 영향을 미치게 된다. 토사의 퇴적으로 인해 하상이 상승되면 홍수시 홍수위 상승에 의한 치수적인 문제점이 발생하고 토사의 침식이나 공급차단으로 인해 하상이 저하되면 하상세굴로 인해 교각이나 수위관측소와 같은 하천시설물의 기능이 저하되며 하천부지의 변화 등 하천유역 관리에 많은 영향을 준다. 따라서 보 상 하류의 하상변동을 예측하고 분석하는 것은 하천 관리에 매우 중요하다. 본 연구에서는 공주보 건설 기간 중 공주보를 기준으로 상 하류의 하상변동 및 퇴적 토사의 입도 변화양상을 조사하기 위해 모니터링 지점을 선정하였고, 하상단면 수심측정기를 이용하여 하상의 형상 모니터링을 통해 하상변동 양상을 분석하였으며 토사시료를 채취하여 하상재료 입도분포를 분석하였다. 그 결과 공주보 상류 모니터링 지점의 하상 평균높이가 0.52m 낮아진 것으로 측정되었고, 하류 모니터링 지점 역시 하상고의 평균 높이가 0.36m 저하된 것으로 측정되었으며, 하상형상의 모습은 큰 차이를 보이지 않았다. 보의 건설로 상류측의 토사퇴적이 예상 되었으나 모니터링 시에는 수문이 개방되어 하천의 흐름이 비교적 원활하여 보 상류측에 토사의 퇴적현상이 발생하지 않은 것으로 판단된다. 또한, 하상재료를 채취하여 균등계수 및 곡률계수를 통해 입도분포를 분석한 결과 체가름시험 규정에 의해 '나쁜입도'로 분류되었다.

• Proceedings of the Korea Water Resources Association Conference
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• 2017.05a
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• pp.130-130
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• 2017

각 수계의 다기능보는 흐름 통제 단면으로서의 중요한 기능인 정밀한 유량 산정이 가능한 수리구조물이므로 다기능보를 각 유역의 표준유량을 산정할 수 있는 국가 유량기준점으로 활용할 수 있는 방안을 강구하는 것이 바람직하다. 현재 보의 방류량 산정 방법은 보의 설계 당시 수리모형실험과 1차원 수치모의 등의 방법에 의해 산정된 결과를 활용한 것으로 보의 상류 수위만을 고려하여 보의 방류량을 산정하는 방법으로 배수위 영향을 반영할 수 없을 뿐만 아니라 유량 측정시설로서의 보의 수리적 장점을 활용하지 못하는 한계가 존재한다. 이에 본 연구에서는 현행 방류량 산정 방법과 기존 연구의 한계점을 검토하여 보 상하류 수위와 보의 수리적 유량측정 기능을 상호 보완적으로 활용하여 방류량 추정량을 개선시킬 수 있는 수정 경사-면적법을 새롭게 제안하였으며, 금강의 백제보, 영산강의 승촌보, 죽산보를 대상으로 적용하고, 연구 결과의 적정성을 검토하였다. 적용 결과, 기존 방법은 하류 수위에 관계없이 보 상류의 수위가 상승하게 되면 증가하고, 반대로 하강하게 되면 방류량이 감소하는 등 상류 수위의 패턴을 그대로 따라가는 것을 알 수 있었으며, 수정 경사-면적법을 활용하여 추정한 결과, 상시적으로 변하는 상하류 수위차에 따라 방류량이 변동하여 보다 물리적인 현상을 더 잘 반영하는 것으로 판단된다.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.25 no.12
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• pp.822-829
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• 2015

A transfer matrix method has been developed to determine the more accurate natural frequencies for the bending vibration of Bernoulli-Euler beam with linearly reduced width and a concentrated tip mass. The proposed method can be computed an infinite number of the natural frequencies using a single element. Using the differential equation, shear force, and bending moment in which can be deduced by the diverse variational principles, a transfer matrix is formulated. The roots of the differential equation are computed by the Frobenius method. The effect of the concentrated mass for the natural frequencies of width-tapered beams is examined through a parametric study, and to show the accuracy of the proposed method, the computed results compared with those obtained from commercial finite element analysis program(ANSYS).