• Computers and Concrete
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• 제22권6호
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• pp.527-538
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• 2018

Buckling of longitudinal bars is a brittle failure mechanism, often recorded in reinforced concrete (RC) structures after an earthquake. Studies in the literature highlights that it often occurs when steel is in the post elastic range, by inducing a modification of the engineered stress-strain law of steel in compression. A proper evaluation of this effect is of fundamental importance for correctly evaluating capacity and ductility of structures. Significant errors can be obtained in terms of ultimate bending moment and curvature ductility of an RC section if these effects are not accounted, as well as incorrect evaluations are achieved by non-linear static analyses. This paper presents a numerical investigation aiming to evaluate the engineered stress-strain law of reinforcing steel in compression, including second order effects. Non-linear FE analyses are performed under the assumption of local buckling. A role of key parameters is evaluated, making difference between steel with strain hardening or with perfectly plastic behaviour. Comparisons with experimental data available in the literature confirm the accuracy of the achieved results and make it possible to formulate recommendations for design purposes. Finally, comparisons are made with analytical formulations available in the literature and based on obtained results, a modification of the stress-strain law model of Dhakal and Maekawa (2002) is proposed for fitting the numerical predictions.

• Steel and Composite Structures
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• 제11권1호
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• pp.1-19
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• 2011

The introduction of the Eurocodes makes plastic design criteria available also for composite bridges, leading to more economical solutions compared with previous elastic design rules. Particularly for refurbishment old bridges with higher actual traffic loads, up to date outside the scope of the Eurocodes, strengthening should therefore be avoidable or at least be necessary only to a minor extent. For bridges with smaller spans and compact cross sections, the plastic load bearing capacity is clearly justified. In this work, however, the focus is placed on long span continuous composite bridges with deep, longitudinally stiffened girders, susceptible to local buckling. In a first step, the elastic - plastic cross section capacity of the main girder in bending is studied as an isolated case, based on high preloads acting on the steel girder only, due to the common assembling procedure without scaffolding. In a second step, the effects on the whole structure are studied, because utilising the plastic section capacity at midspan leads to a redistribution of internal forces to the supports. Based on the comprehensive study of an old, actual strengthened composite bridge, some limitations for plastic design are identified. Moreover, fully plastic design will sometimes need additional global analysis. Practical recommendations are given for design purposes.

• Structural Engineering and Mechanics
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• 제6권7호
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• pp.785-800
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• 1998

This paper deals with the nonlinear finite element analysis of fibre-reinforced plastic poles. Based on the principle of stationary potential energy and Novozhilov's derivations of nonlinear strains, the formulations for the geometric nonlinear analysis of general shells are derived. The formulations are applied to the fibre-reinforced plastic poles which are treated as conical shells. A semi-analytical finite element model based on the theory of shell of revolution is developed. Several aspects of the implementation of the geometric nonlinear analysis are discussed. Examples are presented to show the applicability of the nonlinear analysis to the post-buckling and large deformation of fibre-reinforced plastic poles.

• 한국강구조학회 논문집
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• 제15권1호
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• pp.25-31
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• 2003

본 연구는 데크플레이트의 모멘트 강도에 관한 실험적, 이론적 연구를 수행하였다. 실물크기의 14개 모멘트 실험을 행하였으며, 가력부의 국부좌굴을 방지하기 위해 1/4지점 집중하중을 가력하였다. 기준식들 간의 차이점을 이론적으로 비교분석하였다. 또한 미국 AISI, 유럽 EC3, 한국 기준과 실험값을 비교 평가하였다. 파괴모드는 보 중앙부의 국부좌굴 및 중간가력부의 국부좌굴에 의하여 형성되어 최대내력에 도달하였다. 인장측이 먼저 항복하는 경우 소성능력이 인장측에서 발휘되어 내력이 증대하였다. 설험결과는 인장측 부분 소성화를 고려한 EC 기준과 가장 잘 일치하였다. EC3 부록Z에 의한 통계학적 평가로부터 EC3 기준식이 목표로 하는 $^{\circ}{_M}=1.1$ 이내로 그 적용성이 만족되었다. AISI와 KS 기준에서도 소성화 개념을 추가한다면, 이론해석이 보다 더 개선될 것이다.

• Structural Engineering and Mechanics
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• 제14권3호
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• pp.331-343
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• 2002

Because of the increasing span of arch bridges, ultimate capacity analysis recently becomes more focused both on design and construction. This paper investigates the static and ultimate behavior of a long-span steel arch bridge up to failure and evaluates the overall safety of the bridge. The example bridge is a long-span steel arch bridge with a 550 m-long central span under construction in Shanghai, China. This will be the longest central span of any arch bridge in the world. Ultimate behavior of the example bridge is investigated using three methods. Comparisons of the accuracy and reliability of the three methods are given. The effects of material nonlinearity of individual bridge element and distribution pattern of live load and initial lateral deflection of main arch ribs as well as yield stresses of material and changes of temperature on the ultimate load-carrying capacity of the bridge have been studied. The results show that the distribution pattern of live load and yield stresses of material have important effects on bridge behavior. The critical load analyses based on the linear buckling method and geometrically nonlinear buckling method considerably overestimate the load-carrying capacity of the bridge. The ultimate load-carrying capacity analysis and overall safety evaluation of a long-span steel arch bridge should be based on the geometrically and materially nonlinear buckling method. Finally, the in-plane failure mechanism of long-span steel arch bridges is explained by tracing the spread of plastic zones.

• 해양환경안전학회지
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• 제14권1호
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• pp.89-93
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• 2008

보강판은 선박이나 해양구조물에서 폭넓게 사용되고 있는 기본적인 강도 부재이다. 이러한 보강판은 선박의 갑판부, 선측부, 선저부에 흔히 사용되고 있다. 보강판은 보강재가 어느 한 방향으로 또는 양방향으로 구성되어 있으며 후자에 대해서 보통 그릴리지라고 한다. 보강판의 좌굴 및 소성붕괴는 선각거더의 파손 원인이 되므로 좌굴 및 최종강도가 정확하게 규명할 필요가 있다. 본 연구에서는 범용유한요소해석코드인 ANSYS를 이용하여 좌굴 및 좌굴 후 거동에 대한 평가를 수행하고 보강재 치수변화, 수압의 영향을 고려하여 압축최종강도에 대해 해석 수행하였다.

• 한국지반환경공학회 논문집
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• 제7권6호
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• pp.75-88
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• 2006

본 논문은 지중강판 구조물에 고강도강의 사용 가능성을 평가하였다. AASHTO(2004)와 CHBDC(2000)의 좌굴강도식의 차이점과 제정적인 배경, 주요 설계인자에 대한 매개변수를 연구하였다. 원형 지중강판구조물의 좌굴강도식은 지간, 토피고, 단면조건, 인장강도, 뒷채움 흙의 다양한 설계변수를 고려한 탄소성해석, 기하학적 비선형해석의 수치해석 결과를 토대로 제안하였다. 해석결과 CHBDC의 설계기준이 좌굴강도를 산정하는데 있어 적합하였으며, 고강도강 사용시 좌굴안정성도 확보되고 좌굴강도의 개선효과에 뛰어났다.

• 국제강구조저널
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• 제18권4호
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• pp.1440-1463
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• 2018

The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.

• Design & Manufacturing
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• 제18권2호
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• pp.17-22
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• 2024

Lightweight of plastic containers is becoming an important issue due to increasing environmental legislation and consumer awareness. In this study, the CAE analysis was conducted to optimize the shape of a 500 ml lightweight square polyethylene terephthalate(PET) bottle. First, the linear buckling alaysis using the finite element method was performed to analyze the correlation between the primary geometric parameters of the bottle and the buckling critical load. Then, the optimal geometry parameters were derived, and the actual buckling load was predicted by non-linear buckling simulation. The validity of the simulation results was verified by top-loading tests of PET bottles molded with the optimized geometry. The elastic modulus and tensile yield strength of PET through tensile tests were measured to improve the accuracy of the simulation. As a result of the tensile tests, the modulus of elasticity of PET increased from 2,900 MPa to 4,275 MPa, and the tensile yield strength increased from 52.4 MPa to 88.1 MPa. Finally the buckling load of the optimized PET bottle was found to be approximately 236 N, which is very similar to the simulation precition of 238 N. This study shows the feasibility and accuracy of the CAE analysis approach for the lightweight design of PET bottles, and will provide useful guidelines for the design of PET bottles.

• 한국항해항만학회지
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• 제31권3호
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• pp.271-279
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• 2007

선체구조는 기본적으로 판부재의 조합으로 이루어져 있으며, 이러한 판부재의 하중분담 능력 혹은 최종강도 평가는 선체구조의 합리적인 설계 및 구조의 안정성 평가에 있어서는 아주 중요하다. 또한, 선체구조를 구성하고 있는 구조요소들은 작용외력에 대하여 개별적으로 작용하지 않으며 전체적으로 연속거동을 하게 된다. 실제 선박에서의 붕괴형태 중 한가지는 종방향 굽휨에 의해서 갑판 혹은 선저부에 좌굴 및 소성붕괴이다. 그래서, 합리적인 설계에서는 이러한 급작스런 붕괴형태를 방지하기 위하여 좌굴 및 소성붕괴 거동을 파악하는 것이 아주 중요하며, 실제 선박에서는 갑판부와 선저부에서는 하중분담 능력을 증가시키기 위하여 여러개의 종보강재를 가진 보강판 구조의 설계를 하게 된다. 본 연구에서는 선체 판넬구조의 모델링 방법에 따른 최종강도 거동의 차이를 분석하여, 합리적인 모델링영역을 규명하고자 한다. 사용된 해석 모델은 실제 상선의 이중저구조에서 사용되는 판넬에서 채택하였으며 유한요소해석 모델링 시 3가지 단면형상에 대해 각각 6가지 서로 다른 해석모델을 적용하였으며, 이때 보강재의 단면형상을 변화하였다. 본 연구의 목적은 압축하중이 작용하는 선체 보강판구조에서 해석영역에 대한 좌굴 및 최종강도 거동의 특성을 분석하였다.