• 제목/요약/키워드: load-moment diagram

검색결과 20건 처리시간 0.021초

Service load response prediction of reinforced concrete flexural members

  • Ning, Feng;Mickleborough, Neil C.;Chan, Chun-Man
    • Structural Engineering and Mechanics
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    • 제12권1호
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    • pp.1-16
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    • 2001
  • A reliable and accurate method has been developed to predict the flexural deformation response of structural concrete members subject to service load. The method that has been developed relates the extent of concrete cracking, measured as a function of the magnitude of applied moment in a member, to the reduction in the effective moment of inertia of cracked reinforced concrete members under service load conditions. The ratio of the area of the moment diagram where the moment exceeds the cracking moment, to the total area of the moment diagram for any loading, provides the basis for the calculation of the effective moment of inertia. This ratio also represents mathematically a probability of crack occurrence. Verification of this method for the determination of the effective moment of inertia has been achieved from an experimental test program, and has included beam tests with different loading configurations, and shear wall tests subjected to a range of vertical and lateral load levels. Further verification of this method has been made with reference to the experimental investigation of other recently published work.

적층성을 띤 CFS로 보강된 원형 콘크리트 기둥의 보강효과 해석 (Strengthening Effect Analysis of Circular Concrete Column Strengthened with Laminated CFS)

  • 이상호;허원석
    • 콘크리트학회논문집
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    • 제11권3호
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    • pp.89-100
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    • 1999
  • The purpose of this study is to develop an analytic model of the concrete column strengthened with laminated CFS, and to provide a basic guideline for the strengthening design by CFS considering orthotropic properties of laminate. In this study, an analytical stress-strain model of laminated CFS is presented based on Tsai-Hill failure criterion. This model has been implemented in an algorithm which can evaluate the confinement effect of CFS. Through this algorithm, the stress-strain relationship of confined concrete is obtained and compared with experimental results of other studies. Using the constitutive relationships, section analyses of concrete column strengthened with CFS are done, and load-moment and load-curvature interaction curves are obtained. In addition, the strengthening effects of CFS according to various laminated angles are analyzed. Analytical results show that the strengthening effects of the strengthened concrete columns are significantly different in compression, flexure, and ductility according to the laminated ways. In compressive direction of principal stress shows the superiority, where an in flexural strengthening effects, [0/90]s does. In the aspect of ductility, [90]s shows the best effect.

Strength estimation for FRP wrapped reinforced concrete columns

  • Cheng, Hsiao-Lin;Sotelino, Elisa D.;Chen, Wai-Fah
    • Steel and Composite Structures
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    • 제2권1호
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    • pp.1-20
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    • 2002
  • Fiber-Reinforced Plastics (FRP) have received significant attention for use in civil infrastructure due to their unique properties, such as the high strength-to-weight ratio and stiffness-to-weight ratio, corrosion and fatigue resistance, and tailorability. It is well known that FRP wraps increase the load-carrying capacity and the ductility of reinforced concrete columns. A number of researchers have explored their use for seismic components. The application of concern in the present research is on the use of FRP for corrosion protection of reinforced concrete columns, which is very important in cold-weather and coastal regions. More specifically, this work is intended to give practicing engineers with a more practical procedure for estimating the strength of a deficient column rehabilitated using FRP wrapped columns than those currently available. To achieve this goal, a stress-strain model for FRP wrapped concrete is proposed, which is subsequently used in the development of the moment-curvature relations for FRP wrapped reinforced concrete column sections. A comparison of the proposed stress-strain model to the test results shows good agreement. It has also been found that based on the moment-curvature relations, the balanced moment is no longer a critical moment in the interaction diagram. Besides, the enhancement in the loading capacity in terms of the interaction diagram due to the confinement provided by FRP wraps is also confirmed in this work.

버켓형식 해상풍력기초의 수평 하중과 모멘트 저항력 평가 (Evaluation of Horizontal Load and Moment Capacities of Bucket-Type Offshore Wind Turbine Foundation)

  • ;윤종찬;손수원;김진만
    • 한국지반환경공학회 논문집
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    • 제22권1호
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    • pp.5-12
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    • 2021
  • 경제적으로 효율적이고 설치가 용이한 버켓기초는 해상풍력발전기초로 적용함에 있어 좋은 방법이 될 수 있다. 이에 본 논문에서는 3차원 유한요소해석을 통해 버킷기초 적용시 기초 주위의 석션케이슨과 지반의 거동을 파악하여 분석하고자 한다. 다양한 하중조건에서 조밀한 사질토 지반과 중간 밀도의 사질토지반에 설치된 기초의 구조를 검토하고 이를 바탕으로 사질토 지반에 설치된 버켓기초의 극한하중 허용량과 회전 모멘트 허용량을 평가하였다. 그 결과, 단일하중에 의한 버켓기초의 회전과 변위는 기초의 구조적 형상, 지반 밀도, 하중편심에 크게 영향을 받는다는 것을 확인할 수 있었다. 이러한 극한 수평하중과 회전 모멘트 허용량의 결과를 바탕으로 정규화 도표와 제안식을 제안하였고, 이는 향후 해상풍력발전기초의 설계 시 유용하게 사용될 것으로 판단된다.

Parametric study on eccentrically-loaded partially encased composite columns under major axis bending

  • Begum, Mahbuba;Driver, Robert G.;Elwi, Alaa E.
    • Steel and Composite Structures
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    • 제19권5호
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    • pp.1299-1319
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    • 2015
  • This paper presents a detailed parametric study, conducted using finite element tools to cover a range of several geometric and material parameters, on the behaviour of thin-walled partially encased composite (PEC) columns. The PEC columns studied herein are composed of thin-walled built-up H-shaped steel sections with concrete infill cast between the flanges. Transverse links are provided between the opposing flanges to improve resistance to local buckling. The parametric study is confined to eccentrically-loaded columns subjected to major axis bending only. The parameters that were varied include the overall column slenderness ratio (L/d), load eccentricity ratio (e/d), link spacing-to-depth ratio (s/d), flange plate slenderness ratio (b/t) and concrete compressive strength ($f_{cu}$). The overall column slenderness ratio was chosen to be the primary variable with values of 5, 10 and 15. Other parameters were varied within each case of L/d ratio. The effects of the selected parameters on the behaviour of PEC columns were studied with respect to the failure mode, peak axial load, axial load versus average axial strain response, axial load versus lateral displacement response, moment versus lateral displacement behaviour and the axial load-moment interaction diagram. The results of the parametric study are presented in the paper and the influences of each of the parameters investigated are discussed.

Elastic-plastic formulation for concrete encased sections interaction diagram tracing

  • Fenollosa, Ernesto;Gil, Enrique;Cabrera, Ivan;Vercher, Jose
    • Steel and Composite Structures
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    • 제19권4호
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    • pp.861-876
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    • 2015
  • Composite sections design consists on checking that the point defined by axial load and bending moment keeps included within the surface enclosed by the section interaction curve. Eurocode 4 suggests a method for tracing this diagram based on the plastic stress distribution method. However curves obtained according to this criterion overvalue concrete encased sections bearing capacity, especially when axial force comes with high bending moment values, so a correction factor is required. This article proposes a method for tracing this diagram based on the strain compatibility method. When stresses on the section are integrated by considering the Navier hypothesis, the use of the materials nonlinear constitutive equations provides curves much more adjusted to reality. This process requires the use of rather complex software which might reveal as too complex for practitioners. Preserving the same criteria of an elastic-plastic stress distribution, this article presents alternative expressions to obtain the failure internal forces in five significant points of the interaction diagram having considered five different positions of the neutral axis. These expressions are simply enough for their practical application. Concordance of curves traced strictly relying on these five points with those obtained by computer assisted stress integration considering the strain compatibility method and even with Eurocode 4 weighted curves will be presented for three different cross-sections and two different concrete strengths, revealing very good results.

복합재료 선미익 항공기 날개 하중해석

  • 한창환;김응태;안석민;김진원
    • 항공우주기술
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    • 제1권1호
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    • pp.8-27
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    • 2002
  • 본 연구에서는 현재 개발중에 있는 복합재료 선미익 항공기의 날개에 작용하는 하중해석을 수행하였다. 중량, 공력계수, 구조설계속도, 하중 등을 계산하기 위해 사용된 Tool은 Excel에서 운용되는 Visual Basic 프로그램으로 계산에 많은 도움을 주었다. 하중해석에 기본적으로 요구되는 항공기의 형상치수, 부품의 종류 및 중량 그리고 좌표계 등은 Catia 모델링, 실제측정 또는 재료밀도 값 등을 이용해 구하였으며, 이들 자료를 통하여 항공기의 중량, 무게중심, 관성모멘트, 구조설계속도, 날개의 하중분포, 힘과 모멘트 등을 계산하였다. 또한 항공기의 날개 및 동체의 임계하중 조건을 선정하는데 필수적인 항공기의 V-n 선도를 도시하였으며, 이 V-n 선도는 항공기의 최대중량 2,573 파운드 및 해면고도조건에서 설계속도 $V_A$, $V_C$, $V_D$ 및 하중계수 +3.8G, -1.52G에 대한 비행범위를 제시하고 있다. 앞으로는 V-n 선도로부터 선정된 임계하중을 이용하여 해석된 동체 및 날개에 대한 하중을 제시하고자 한다.

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모래지반에서 원형기초의 수직-모멘트 조합하중 지지력과 편심계수에 대한 수치해석 연구 (Numerical Studies on Combined VM Loading and Eccentricity Factor of Circular Footings on Sand)

  • 김동준;윤준웅;지성현;추연욱
    • 한국지반공학회논문집
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    • 제30권3호
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    • pp.59-72
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    • 2014
  • 모래지반 표면에 위치한 강체 원형기초를 대상으로 수치해석을 통하여 수직-모멘트 조합하중 조건에서의 지지력을 구하였다. 지반은 Mohr-Coulomb 소성모델을 이용하여 모델링하였으며 관련흐름법칙을 적용하였고, 거친 기초 바닥면 조건에 대하여 검토하였다. 적은 수의 해석으로 조합하중 상관도를 산출할 수 있는 swipe 재하 방법과 통상적인 재하실험에서 적용되는 probe 재하 방법을 적용하여 비교한 결과, 두 방법은 유사한 결과를 나타내었다. 모멘트하중을 고려하기 위하여 전통적으로 사용되는 유효폭 및 유효면적 개념을 사용한 결과와 편심계수($e_{\gamma}$)를 사용한 방법들을 비교하였으며, 기존의 제안식들과 수치모델링으로 구해진 본 연구의 결과를 비교하였다. 수직-모멘트 조합하중 지지력의 내부마찰각에 따른 변화는 미미한 것으로 나타났으며, 유효폭 개념은 편심계수의 형태로 변환하여 원형기초에도 그대로 적용이 가능한 것으로 나타났다. 본 연구의 수치모델링 결과는 기존의 실험에 기반한 결과들에 비해 다소 작은 값을 주는 것으로 나타났으며, 편심 및 모멘트하중이 증가할수록 그 차이는 증가하였다. 수치모델링과 실험 결과가 차이를 나타내는 요인과 향후 연구 방향에 대하여 고찰하였다.

Analysis of rectangular hybrid steel-GFRP reinforced concrete beam columns

  • El-Heloua, Rafic G.;Aboutaha, Riyad S.
    • Computers and Concrete
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    • 제16권2호
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    • pp.245-260
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    • 2015
  • In this study, nominal moment-axial load interaction diagrams, moment-curvature relationships, and ductility of rectangular hybrid beam-column concrete sections are analyzed using the modified Hognestad concrete model. The hybrid columns are primarily reinforced with steel bars with additional Glass Fiber Reinforced Polymer (GFRP) control bars. Parameters investigated include amount, pattern, location, and material properties of concrete, steel, and GFRP. The study was implemented using a user defined comprehensive $MATLAB^{(R)}$ simulation model to find an efficient hybrid section design maximizing strength and ductility. Generating lower bond stresses than steel bars at the concrete interface, auxiliary GFRP bars minimize damage in the concrete core of beam-column sections. Their usage prevents excessive yielding of the core longitudinal bars during frequent moderate cyclic deformations, which leads to significant damage in the foundations of bridges or beam-column spliced sections where repair is difficult and expensive. Analytical results from this study shows that hybrid steel-GFRP composite concrete sections where GFRP is used as auxiliary bars show adequate ductility with a significant increase in strength. Results also compare different design parameters reaching a number of design recommendations for the proposed hybrid section.

Optimization for trapezoidal combined footings: Optimal design

  • Arnulfo Lueanos-Rojas
    • Advances in concrete construction
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    • 제16권1호
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    • pp.21-34
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    • 2023
  • This work presents a complete optimal model for trapezoidal combined footings that support a concentric load and moments around of the "X" and "Y" axes in each column to obtain the minimum area and the minimum cost. The model presented in this article considers a pressure diagram that has a linear variation (real pressure) and the equations are not limited to some cases. The classic model takes into account a concentric load and the moment around of the "X" axis (transverse axis) that is applied due to each column, i.e., the resultant force is located at the geometric center of the footing on the "Y" axis (longitudinal axis), and when the concentric load and moments around of the "X" and "Y" axes act on the footing is considered the uniform pressure applied on the contact surface of the footing, and it is the maximum pressure. Four numerical problems are presented to find the optimal design of a trapezoidal combined footing under a concentric load and moments around of the "X" and "Y" axes due to the columns: Case 1 not limited in the direction of the Y axis; Case 2 limited in the direction of the Y axis in column 1; Case 3 limited in the direction of the Y axis in column 2; Case 4 limited in the direction of the Y axis in columns 1 an 2. The complete optimal design in terms of cost optimization for the trapezoidal combined footings can be used for the rectangular combined footings considering the uniform width of the footing in the transversal direction, and also for different reinforced concrete design codes, simply by modifying the resisting capacity equations for moment, for bending shear, and for the punching shear, according to each of the codes.