• 제목/요약/키워드: Ultimate limit state design

검색결과 97건 처리시간 0.024초

Design and ultimate behavior of RC plates and shells: two case studies

  • Min, Chang-Shik
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.171-190
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    • 2002
  • Two cases of design are performed for the hyperbolic paraboloid saddle shell (Lin-Scordelis saddle shell) and the hyperbolic cooling tower (Grand Gulf cooling tower) to check the design strength against a consistent design load, therefore to verify the adequacy of the design algorithm. An iterative numerical computational algorithm is developed for combined membrane and flexural forces, which is based on equilibrium consideration for the limit state of reinforcement and cracked concrete. The design algorithm is implemented in a finite element analysis computer program developed by Mahmoud and Gupta. The amount of reinforcement is then determined at the center of each element by an elastic finite element analysis with the design ultimate load. Based on ultimate nonlinear analyses performed with designed saddle shell, the analytically calculated ultimate load exceeded the design ultimate load from 7% to 34% for analyses with various magnitude of tension stiffening. For the cooling tower problem the calculated ultimate load exceeded the design ultimate load from 26% to 63% with similar types of analyses. Since the effective tension stiffening would vary over the life of the shells due to environmental factors, a degree of uncertainty seems inevitable in calculating the actual failure load by means of numerical analysis. Even though the ultimate loads are strongly dependent on the tensile properties of concrete, the calculated ultimate loads are higher than the design ultimate loads for both design cases. For the cases designed, the design algorithm gives a lower bound on the design ultimate load with respect to the lower bound theorem. This shows the adequacy of the design algorithm developed, at least for the shells studied. The presented design algorithm for the combined membrane and flexural forces can be evolved as a general design method for reinforced concrete plates and shells through further studies involving the performance of multiple designs and the analyses of differing shell configurations.

Closed form ultimate strength of multi-rectangle reinforced concrete sections under axial load and biaxial bending

  • da Silva, V. Dias;Barros, M.H.F.M.;Julio, E.N.B.S.;Ferreira, C.C.
    • Computers and Concrete
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    • 제6권6호
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    • pp.505-521
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    • 2009
  • The analysis of prismatic members made of reinforced concrete under inclined bending, especially the computation of ultimate loads, is a pronounced non-linear problem which is frequently solved by discretizing the stress distribution in the cross-section using interpolation functions. In the approach described in the present contribution the exact analytical stress distribution is used instead. The obtained expressions are integrated by means of a symbolic manipulation package and automatically converted to optimized Fortran code. The direct problem-computation of ultimate internal forces given the position of the neutral axis-is first described. Subsequently, two kinds of inverse problem are treated: the computation of rupture envelops and the dimensioning of reinforcement, given design internal forces. An iterative Newton-Raphson procedure is used. Examples are presented.

한계상태 정의에 따른 FRP Rebar 보강 콘크리트 슬래브의 구조거동 예측 (Prediction of Structural Behavior of FRP Rebar Reinforced Concrete Slab based on the Definition of Limit State)

  • 오홍섭;김영환;장낙섭
    • 대한토목학회논문집
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    • 제40권4호
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    • pp.371-381
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    • 2020
  • FRP로 보강된 콘크리트 부재의 파괴형태는 콘크리트 압괴와 섬유 파단으로 정의되며, 설계방법에 따라 한계상태를 조금씩 다르게 정의하고 있다. FRP 보강재는 섬유에 따라 성능이 상이하기 때문에 사용상태와 극한상태의 성능을 예측하는 것이 상대적으로 까다롭다. 특히 많이 사용되고 있는 ACI 440의 기준은 주로 저탄성계수를 갖는 GFRP를 중심으로 개발되었기 때문에 다른 섬유에 대한 적용성이 충분히 검증되지 않은 상태이다. 또한 ACI440의 휨한계상태는 보강비에 따라 압괴와 파단이 동시에 발생하는 천이영역이 상대적으로 크기 때문에 균형보강비에서의 거동예측이 상대적으로 어렵고, 사용성 예측 방법이 하중조건에 따라 민감하기 때문에 상대적으로 복잡한 단점이 있다. 따라서 본 연구에서는 0.8~1.2 𝜌b의 보강비를 갖는 슬래브의 실험결과와 문헌고찰을 통하여 설계방법별 거동예측의 신뢰성과 편이성을 고찰하였다. 해석결과 Model Code의 모멘트 곡률식(LIM-MC) 간략식의 경우 FRP 보강구조물에도 충분히 적용할 수 있는 것으로 분석되었으며, EC2에 기반한 한계상태 설계법이 상대적로 극한강도설계법보다 신뢰성 있는 결과를 나타내었다.

Scale model experimental of a prestressed concrete wind turbine tower

  • Ma, Hongwang;Zhang, Dongdong;Ma, Ze;Ma, Qi
    • Wind and Structures
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    • 제21권3호
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    • pp.353-367
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    • 2015
  • As concrete wind-turbine towers are increasingly being used in wind-farm construction, there is a growing need to understand the behavior of concrete wind-turbine towers. In particular, experimental evaluations of concrete wind-turbine towers are necessary to demonstrate the dynamic characteristics and load-carrying capacity of such towers. This paper describes a model test of a prestressed concrete wind-turbine tower that examines the dynamic characteristics and load-carrying performance of the tower. Additionally, a numerical model is presented and used to verify the design approach. The test results indicate that the first natural frequency of the prestressed concrete wind turbine tower is 0.395 Hz which lies between frequencies 1P and 3P (0.25-0.51 Hz). The damper ratio is 3.3%. The maximum concrete compression stresses are less than the concrete design compression strength, the maximum tensile stresses are less than zero and the prestressed strand stresses are less than the design strength under both the serviceability and ultimate limit state loads. The maximum displacement of the tower top are 331 mm and 648 mm for the serviceability limit state and ultimate limit state, respectively, which is less than L/100 = 1000 mm. Compared with traditional tall wind-turbine steel towers, the prestressed concrete tower has better material damping properties, potential lower maintenance cost, and lower construction costs. Thus, the prestressed concrete wind-turbine tower could be an innovative engineering solution for multi-megawatt wind turbine towers, in particular those that are taller than 100 m.

콘크리트 응력-변형률 관계에 기반한 철근콘크리트 부재의 처짐 산정 (Deflection Calculation Based on Stress-Strain Curve for Concrete in RC Members)

  • 최승원;김우
    • 대한토목학회논문집
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    • 제30권4A호
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    • pp.383-389
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    • 2010
  • 현재 우리나라의 콘크리트구조설계기준은 강도설계법에 근간하고 있다. 강도설계법에 의해 휨부재를 설계할 경우, 콘크리트 응력-변형률 관계는 사용하중 상태에서 선형으로 가정하지만 이후 극한한계 상태까지에 대해서는 규정되어 있지 않다. 이로 인해 콘크리트구조설계기준에서는 처짐 및 균열폭 등의 산정에 대해 개별적인 규정을 두고 있다. 그러나 한계상태설계법에 근거한 EC에서는 재료에 대한 응력-변형률 관계를 규정하고 있다. 따라서 재료의 응력-변형률 관계로부터 휨강도 및 처짐 등을 직접 계산할 수 있다. 본 연구에서는 휨부재에 대하여 주어진 재료 모델을 바탕으로 평형방정식과 적합조건식을 적용하여 휨모멘트-곡률 관계를 계산하였다. 이로부터 휨강도 및 처짐을 산정하여 현행 콘크리트구조설계기준에 의한 값과 비교하였다. 해석 결과 재료 모델로부터 휨모멘트-곡률 관계를 통해 산정된 처짐은 실험 결과와도 비교적 잘 일치하고, 항복 이후의 처짐 계산도 가능한 것으로 나타났다.

Development of an analytical method for optimum design of reinforced concrete beams considering both flexural and shear effects

  • Zivari, Ahmad;Habibi, Alireza;Khaledy, Nima
    • Computers and Concrete
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    • 제24권2호
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    • pp.117-123
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    • 2019
  • Optimization is an important subject which is widely used in engineering problems. In this paper, an analytical method is developed for optimum design of reinforced concrete beams considering both flexural and shear effects. A closed-form formulation is derived for optimal height and rebar of beams. The total material cost of steel and concrete is considered as the objective function which is minimized during the optimization process. The ultimate flexural and shear capacities of the beam are considered as the main constraints. The ultimate limit state is considered for deriving the relations for flexural capacity of the beam. The design requirements are considered according to the item 9 of the Iranian National Building. Analytical formulas and some curves are proposed to be used for optimum design of RC beams. The proposed method can be used to perform the optimization of RC beams without the need of any prior knowledge in optimization. Also, the results of the studied numerical example show that the proposed method results in a better design comparing with the other methods.

해상풍력 파일 굴착직경 결정을 위한 하부구조물 설계해석 (Design Analysis of Substructure for Offshore Wind Pile Excavation)

  • 이기옥;선민영
    • 한국기계가공학회지
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    • 제18권4호
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    • pp.48-55
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    • 2019
  • With recent rapid increases in the power generation capacity of offshore wind power generators, reliable structural analysis of the large-scale infrastructure needed to install wind power generators at sea is required. Therefore, technology for heavy marine equipment such as barges and excavation equipment is needed. Under submarine conditions, rock drilling technology to install the substructure for offshore wind pile excavation is a very important factor in supporting a wind farm safely under dynamic loads over periods of at least 20 years. After investigating the marine environment and on-site ground excavation for the Saemangeum offshore wind farm, in this study we suggest.

Nonlinear analysis of service stresses in reinforced concrete sections-closed form solutions

  • Barros, Helena F.M.;Martins, Rogerio A.F.
    • Computers and Concrete
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    • 제10권5호
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    • pp.541-555
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    • 2012
  • This paper presents an algorithm for the evaluation of stresses in reinforced concrete sections under service loads. The algorithm is applicable to any section defined by polygonal contours and is based on an analytical integration of the stresses. The nonlinear behaviour of concrete is represented by the parabola-rectangle law used in the Eurocode-2 for the ultimate concrete design. An integrated definition of the strains in concrete and steel is possible by the use of Heaviside functions, similarly to what is done for ultimate section design in Barros et al. (2004). Other constitutive equations for the definition of the stresses in the concrete or steel can be easily incorporated into the code. The examples presented consist in the evaluation of resulting axial load and bending moment in an irregular section and in a section in L shape. The results, for service stresses, can also be plotted in terms of design abacus; a rectangular doubly reinforced section is presented as example.

State-of-the-art of advanced inelastic analysis of steel and composite structures

  • Liew, J.Y. Richard
    • Steel and Composite Structures
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    • 제1권3호
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    • pp.341-354
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    • 2001
  • This paper provides a state-of-the-art review on advanced analysis models for investigating the load-displacement and ultimate load behaviour of steel and composite frames subjected to static gravity and lateral loads. Various inelastic analysis models for steel and composite members are reviewed. Composite beams under positive and negative moments are analysed using a moment-curvature relationship which captures the effects of concrete cracking and steel yielding along the members length. Beam-to-column connections are modeled using rotational spring. Building core walls are modeled using thin-walled element. Finally, the nonlinear behaviour of a complete multi-storey building frame consisting of a centre core-wall and the perimeter frames for lateral-load resistance is investigated. The performance of the total building system is evaluated in term of its serviceability and ultimate limit states.

Stiffener형상에 따른 보강판의 트리핑거동에 관한 연구 (A Study on the Tripping Behaviour of Stiffened Plate according to the Stiffener type)

  • 고재용;박주신;박성현
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2004년도 춘계학술대회 논문집
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    • pp.89-94
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    • 2004
  • 일반적으로 강구조물을 복잡한 판넬로 구성되어 있다. 구조의 전체적인 붕괴는 각각의 구성요소들의 좌굴과 소성붕괴에 영향을 받는다. 최종한계상태설계법에서는 어떤 구조적인 구성요소들의 좌굴과 소성붕괴에 대한 정확한 계산은 중요하다. 구조물은 개별적 요소로 구성되어 있지 않으며 고차 부정정 자유도를 가진 복잡한 구조이다. 이러한 구조물을 해석하기 위해서 단순화나 이상화를 통하여서 가능하며 일반적으로 복잡한 부정정 구조의 해석에 사용되어지고 있다. 본연구의 목적은 일축압축하중이 작용할 경우에 보강재의 트리핑이 최종강도에 미치는 영향을 규명하는 것이며 또한 보강재 단면의 특성에 따른 트리핑거동을 탄소성대변형 유한요소법을 이용하여 해석하였다.

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