• 한국기계연구소 소보
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• 통권18호
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• pp.131-136
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• 1988

A small-deflected beam can be easily solved by assuming a linear system. But a large-deflected beam can not be solved by superposition of the displacements, because the system is nonlinear. The solutions for the large-deflection problems can not be obtained directly from elementary beam theory for linearized systems since the basic assumptions are no longer valid. Specifically, elementary theory neglects the square of the first derivative in the beam curvature formula and provides no correction for the shortening of the moment-arm cause by transverse deflection. These two effects must be considered to analyze the large deflection. Through the correction of deflected geometry and internal axial force, the proposed new approach is developed from the linearized beam theory. The solutions from the proposed approach are compared with exact solutions.

• Journal of the Korean Wood Science and Technology
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• 제37권1호
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• pp.48-55
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• 2009

집성재 보의 처짐의 경우 목재의 이방성 및 목재의 재질 특성(옹이, 목리경사 등) 때문에 이론식의 신뢰성 검토가 필요하다. 비파괴 탄성계수와 휨강도 시험을 통한 실측 탄성계수를 처짐곡선 미분방정식에 대입하여 휨 처짐을 산출하였으며 화상처리 방법을 통해 얻어진 실제 처짐과 비교하여 이론식에 의한 변형 예측의 타당성을 검토하였다. 방정식에 적용된 탄성계수는 초음파시험기를 이용한 제재판의 탄성계수와 종진동의 고유진동수를 이용한 제재판의 탄성계수로 구해진 예측 탄성계수($E_{cu}$, $E_{cf}$)와 제작된 집성재의 초음파의 통과속도를 이용한 탄성계수($E_{gu}$)와 종진동의 고유진동수를 이용한 탄성계수($E_{gf}$)를 대입하였다. 화상처리에 의한 실제 처짐과 처짐곡선 미분방정식에 의한 예측치을 비교한 결과, 휨탄성계수에 의한 경우 비례한도 영역 내에서 실측치와 예측치 비가 중앙집중하중에서는 1.12, 4점하중에서는 1.14로 비슷한 값을 나타내었다. 초음파 시험기를 이용한 처짐은 실측치와 예측치 비가 중앙집중하중에서는 0.89와 중앙집중하중에서는 0.95였으며 종진동을 이용한 처짐은 중앙집중하중 1.07과 4점하중은 1.10으로 모두 근사치를 나타냈다. 실험결과 집성재 보도 비파괴 탄성계수를 처짐곡선 미분방정식에 대입하여 구한 예측 처짐과 실제 처짐이 잘 일치하는 것을 확인할 수 있었다.

• 대한토목학회논문집
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• 제9권4호
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• pp.41-49
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• 1989

전보(前報)에 이어서, 부분(部分) 프리스트레스트 콘크리트 부재(部材)의 실험결과(實驗結果)를 분석(分析)한다. 부분(部分) 프리스트레스트 콘크리트 부재(部材)는 사용하중하(使用荷重下)에서 균열의 발생을 허용(許容)하므로, 사용상태(使用狀態)의 처짐제한(制限)과 균열제한(制限)을 위하여 이들을 정확(正確)하게 예측(豫測)하는 것이 필요(必要)하다. 실험부재(實驗部材)의 하중(荷重)-처짐 관계(關係)에서 표리스트레스의 효과(效果)를 고찰(考察)하고, 각(各) 시방서(示方書)의 처짐식(式)과 실험결과(實驗結果)를 비교(比較)한다. 기왕(旣往)에 제안(提案)된 균열간격 및 균열폭 공식들과 실험부재(實驗部材)에서의 측정결과(測定結果)를 비교(比較)한다.

• Structural Engineering and Mechanics
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• 제67권3호
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• pp.255-265
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• 2018

The prestress force effect on the fundamental frequency and deflection shape of Prestressed Concrete I (PCI) beams was studied in this paper. Currently, due to the conflicts among existing theories, the analytical solution for properly considering the structural behavior of these prestressed members is not clear. A series of experiments were conducted on a large-scale PCI beam of high strength concrete with an eccentric straight unbonded tendon. Specifically, the simply supported PCI beam was subjected to free vibration and three-point bending tests with different prestress forces. Subsequently, the experimental data were compared with analytical results based on the Euler-Bernoulli beam theory. It was proved that the fundamental frequency of PCI beams is unaffected by the increasing applied prestress force, if the variation of the initial elastic modulus of concrete with time is considered. Vice versa, the relationship between the deflection shape and prestress force is well described by the magnification factor formula of the compression-softening theory assuming the secant elastic modulus.

• 한국안전학회지
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• 제29권5호
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• pp.97-103
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• 2014

To ensure durability and light weight of bridges, high-strength concrete is required for long-span deck slabs. Such a technology eventually extends the life of bridges and improves the economic efficiency. The results of this study suggests a formula for calculating the minimum thickness of long-span deck slabs built with high strength concrete. The minimum thickness is proposed based on the limit states indicated in the CEB-FIP Model Code and the Korean Highway Bridge Design Code(limit state design). The design compressive strength of concrete used for the study is 80MPa. Moreover, the required thickness for satisfying the flexural capacity and limiting deflection is estimated considering the limit state load combination. The formula for minimum thickness of deck slabs is proposed considering the ultimate limit state(ULS) and the serviceability limit state(SLS) of bridges, and by comparing the Korean Highway Bridge Design Code and similar previous studies. According to the research finding, the minimum thickness of long-span deck slab is more influenced by deflection limit than flexural capacity.

• 한국해양공학회지
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• 제21권5호
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• pp.47-54
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• 2007

Ship structures are subject to severe environmental loads causing appreciable hull girder deflection which in turn affects the piping system attached to the main hull in the form of displacement load. While this load may cause failure in the pipes, loops have been widely adopted as a measure of preventing this failure with the idea that they may lower the stress level in a pipe by absorbing some portion of the displacement load. But as the loops also have some negative effects such as causing extra manufacture cost, deteriorating the function of the pipe and occupying extra space, the number and the dimensions of the loops adopted need to be minimized. This research develops a design formula for pipe loops. The accuracy of the proposed design formula was verified by comparing two results respectively obtained by the proposed formula and MSC/NASTRAN. The paper ends with the sample example showing the efficiency of the proposed formula.

• 해양환경안전학회지
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• 제23권3호
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• pp.313-319
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• 2017

Cylindrical shells are often used in ship structures at deck plating with a camber, side shell plating at fore and aft parts, and bilge structure part. It has been believed that such curved shells can be modelled fundamentally by a part of a cylinder under axial compression. From the estimations with the usage of cylinder models, it is known that, in general, curvature increases the buckling strength of a curved shell subjected to axial compression, and that curvature is also expected to increase the ultimate strength. We conduct series of elasto-plastic large deflection analyses in order to clarify the fundamentals in buckling and plastic collapse behaviour of cylindrical shells under axial compression. From the numerical results, we derive design formula for predicting the ultimate strength of cylindrical shell, based on a series of the nonlinear finite element calculations for all edges, simply supporting plating, varying the slenderness ratio, curvature and aspect ratio, as well as the following design formulae for predicting the ultimate strength of cylindrical shell. From a number of analysis results, fitting curve can be developed to use parameter of slenderness ratio with implementation of the method of least squares. The accuracy of design formulae for evaluating ultimate strength has been confirmed by comparing the calculated results with the FE-analysis results and it has a good agreement to predict their ultimate strength.

• 대한토목학회논문집
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• 제7권2호
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• pp.59-68
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• 1987

본(本) 논문(論文)에서는 콘크리트의 파괴실험을 통하여 파괴거동을 규명하고 파괴에너지를 결정하였으며, 이로부터 파괴에너지 예측공식을 도출하였다. 콘크리트의 파괴실험은 3 점휨하중실험을 수행하였으며 초기균열길이에 따른 파괴거동과 파괴에너지의 변화특성을 규명하기 위하여 초기균열길이를 보깊이의 각각 0, 0.2, 0.4, 0.6 배로 하였다. 본 실험으로부터 하중-처짐곡선이 자동으로 기록되었으며, 이 하중-처짐곡선하의 면적이 콘크리트의 파괴에너지를 결정하기 위하여 이용되었다. 본 연구에서 도출된 파괴에너지 예측공식은 콘크리트구조물의 파괴해석을 위해 효과적으로 이용될 수 있으며, 파괴에너지가 콘크리트의 인장강도와 골재크기에 의존하고 있음을 나타내고 있다. 또한, 본 연구에서는 콘크리트보의 최대하중을 계산하기 위하여 소위 등가균열길이 개념용 고안하였으며, 이를 위하여 등가균열길이에 대한 예측공식을 제안하였다. 본 등가균열길이 개념은 R-curve 등(等)에 의하지 않고도 파괴하중을 계산할 수 있는 효과적인 개념으로 분석되고 있다.

• Wind and Structures
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• 제37권4호
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• pp.289-302
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• 2023

Insulating glass units (IGUs) have been widely used in buildings in recent years due to their superior thermal insulation performance. However, because of the panel reciprocating motion and fatigue deterioration of sealants under long-term wind loads, many IGUs have the problem of early failure of watertight properties in real usage. This study aimed to propose a statistical method for wind-induced deflection of IGU panels during the whole life service period, for further precise analysis of the accumulated fatigue damage at the sealed part of the edge bond. By the estimation of the wind occurrence regularity based on wind pressure return period, the events of each wind speed interval during the whole life were obtained for the IGUs at 50m height in Beijing, which are in good agreement with the measured data. Also, the wind-induced deflection analysis method of IGUs based on the formula of airspace coefficient was proposed and verified as an improvement of the original stiffness distribution method with the average relative error compared to the test being about 3% or less. Combining the two methods above, the deformation of the outer and inner panes under wind loads during 30 years was precisely calculated, and the deflection and stress state at selected locations were obtained finally. The results show that the compression displacement at the secondary sealant under the maximum wind pressure is close to 0.3mm (strain 2.5%), and the IGUs are in tens of thousands of times the low amplitude tensile-compression cycle and several times to dozens of times the relatively high amplitude tensile-compression cycle environment. The approach proposed in this paper provides a basis for subsequent studies on the durability of IGUs and the wind-resistant behaviors of curtain wall structures.

• Computers and Concrete
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• 제9권2호
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• pp.133-151
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• 2012

This paper presents an analytical procedure for the analysis of high strength steel fiber reinforced concrete members considering the cracking effect in the serviceability loading range. Modifications to a previously proposed formula for the effective moment of inertia are presented. Shear deformation effect is also taken into account in the analysis, and the variation of shear stiffness in the cracked regions of members has been considered by reduced shear stiffness model. The effect of steel fibers on the behavior of reinforced concrete members have been investigated by the developed computer program based on the aforementioned procedure. The inclusion of steel fibers into high strength concrete beams and columns enhances the effective moment of inertia and consequently reduces the deflection reinforced concrete members. The contribution of the shear deformation to the total vertical deflection of the beams is found to be lower for beams with fibers than that of beams with no fibers. Verification of the proposed procedure has been confirmed from series of reinforced concrete beam and column tests available in the literature. The analytical procedure can provide an accurate and efficient prediction of deflections of high strength steel fiber reinforced concrete members due to cracking under service loads. This procedure also forms the basis for the three dimensional analysis of frames with steel fiber reinforced concrete members.