• Title/Summary/Keyword: yield-line analysis

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Automated yield-line analysis of beam-slab systems

  • Johnson, David
    • Structural Engineering and Mechanics
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    • v.3 no.6
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    • pp.529-539
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    • 1995
  • The rigid-plastic yield-line analysis of isotropically reinforced concrete slabs acting in conjunction with torsionally weak supporting beams is developed as the lower-bound form of a linear programming formulation. The analysis is extended to consider geometric variation of chosen yield-line patterns by the technique of sequential linear programming. A strategy is followed of using a fine potential yield-line mesh to identify possible collapse modes, followed by analysis using a coarser, simplified mesh to refine the investigation and for use in conjunction with geometric optimization of the yield-line system. The method is shown to be effective for the analysis of three slabs of varying complexity. The modes detected by the fine and simplified analyses are not always similar but close agreement in load factors has been consistently obtained.

Application limit of Yield Line Analysis on Welded T-joints in Cold-Formed SHS Sections (냉간성형 각형강관 T형 접합부의 항복선해석 전용한계)

  • Kang, Chang Hoon;Bae, Kyu Woong
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.315-324
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    • 2004
  • This study performs a yield line analysis of welded T-joints in cold-formed Square Hollow Sections (SHS) with the branch in axial compression. The existing yield line models proposed by Koto, Packer, Zhao, and CIDECT and the proposed yield line model of the previous study are compared, using the existing test results of welded T-joints in cold-formed SHS. The yield line model suggested in the previous paper, which is based on the simplified yield line analysis, is reviewed to evaluate its application limit on cold-formed SHS T-joints. In the proposed model, the round corner of the cold-formed SHS section and weld size are taken into account. Finally, the validity range of yield line analysis is determined by observing the actual failure modes and comparing the test value with the analysis value, set as ${\beta}^{\prime}{\leq}0.8$ where ${\beta}^{\prime}=0.8$, ${\beta}^{\prime}=b_1^{\prime}/b_0^{\prime}$, $b_1{^{\prime}}=b_1+t_0$ and $b_0{^{\prime}}=b_0-t_0$.

A finite element yield line model for the analysis of reinforced concrete plates

  • Rasmussen, L.J.;Baker, G.
    • Structural Engineering and Mechanics
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    • v.6 no.4
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    • pp.395-409
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    • 1998
  • This paper concerns the development and implementation of an orthotropic, stress resultant elasto-plastic finite element model for the collapse load analysis of reinforced concrete plates. The model implements yield line plasticity theory for reinforced concrete. The behaviour of the yield functions are studied, and modifications introduced to ensure a robust finite element model of cases involving bending and twisting stress resultants ($M_x$, $M_y$, $M_{xy}$). Onset of plasticity is always governed by the general yield-line-model (YLM), but in some cases a switch to the stress resultant form of the von Mises function is used to ensure the proper evolution of plastic strains. Case studies are presented, involving isotropic and orthotropic plates, to assess the behaviour of the yield line approach. The YLM function is shown to perform extremely well, in predicting both the collapse loads and failure mechanisms.

Load capacity of high-strength reinforced concrete slabs by yield line theory

  • Gorkem, Selcuk Emre;Husem, Metin
    • Computers and Concrete
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    • v.12 no.6
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    • pp.819-829
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    • 2013
  • The objective of this study is to determine whether or not the yield line theory, an effective method widely used for slabs made of ordinary concrete, can be used also for the reinforced concrete slabs made of high-strength concrete. Flexural behavior of simply supported slabs in three different sizes were investigated under concentrated load at mid-span. Additionally, behavior of high strength reinforced concrete slabs with 50 mm and 150 mm reinforcement spacings also studied. Failure loads, deflections, experimental and theoretical failure mechanisms were evaluated. The difference between the moments based on yield line theory and experimental moments varied between 1% to 3%. Experimental and analysis results revealed that yield line analysis could conveniently be employed in the analysis of high strength reinforced concrete slabs.

Boundary Line Analysis of Rice Yield Responses to Meteorological Conditions for Yield Prediction II. Verification of Yield Prediction Model (최대경계선을 이용한 벼 수량의 기상반응분석과 수량 예측 II. 수량예측모형 검증)

  • 김창국;한원식;이변우
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.4 no.3
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    • pp.164-168
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    • 2002
  • Yield prediction model of rice based on the boundary line analysis of the relationships between rice yield and meteorological conditions during rice growing period was reported in the previous report (Kim et al, 2001). Using the 15-year data of the 20 locations used for the model formulation and of the 12 locations not used, the model was tested for its predictability of location to location, year to year, and variety to variety variation of rice yield. The model predicted reliably the mean yield differences among locations, the yearly yield variation in each location, and the yield variation by variety. However, the model showed relatively lower predictability for the years of cool weather injury especially in mountainous locations. In conclusion, the model using boundary line analysis could be used to predict the yield responses to meteorological conditions during rice growth period and the locational, yearly, and varietal variations of rice yield. And the predictability of the present yield prediction model might be improved by including the boundary line analysis for the other factors such as soil characteristics, fertilization levels, etc.

Design for Out-of-Plane Direction of Nonstructural Masonry Walls Using Finite Element Analysis (유한요소해석을 활용한 비구조 조적벽의 면외방향 설계)

  • Choi, Myeong Gyu;Yu, Eunjong;Kim, Min Jae
    • Journal of the Earthquake Engineering Society of Korea
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    • v.26 no.1
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    • pp.23-30
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    • 2022
  • This study proposed a simplified finite element analysis procedure for designing the nonstructural masonry wall in the out-of-plane direction. The proposed method is a two-step elastic analysis procedure by bilinearizing the behavior of the masonry wall. The first step analysis was conducted with initial stiffness representing the behavior up to the effective-yield point, and the second step analysis was conducted with post-yield stiffness. In addition, the orthotropic material property of the masonry was considered in the FE analysis. The maximum load was estimated as the sum of the maximum loads in the first and second step analyses. The maximum load was converted into the moment coefficients and compared with those from the yield line method applied in Eurocode 6. The moment coefficients calculated through the proposed procedure showed a good match with those from the yield line method with less than 6% differences.

Boundary Line Analysis of Rice Yield Responses to Meteorological Conditions for Yield Prediction 1 . Boundary Line Analysis and Construction of Yield Prediction Model (최대경계선을 이용한 벼 수량의 기상반응분석과 수량 예측 1. 최대경계선 분석과 수량예측모형 구축)

  • 김창국;이변우;한원식
    • Proceedings of The Korean Society of Agricultural and Forest Meteorology Conference
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    • 2001.06a
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    • pp.109-112
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    • 2001
  • 농작물의 생육 및 작황은 내적으로는 품종 자체의 고유 특성과 외적으로는 재배기술, 토양환경, 기상환경 등에 크게 영향을 받는다. 이중 온도, 일조시수 등의 기상조건은 생육과 수량 형성에 직접적인 영향을 미치게 되며 작물의 고유특성인 출수기, 수량구성요소 등도 기상환경에 따라 변이를 나타낸다.(중략)

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Yield line mechanism analysis of cold-formed channel sections with edge stiffeners under bending

  • Maduliat, S.;Bambach, M.R.;Zhao, X.L.
    • Structural Engineering and Mechanics
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    • v.42 no.6
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    • pp.883-897
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    • 2012
  • Cold-formed channel sections are used in a variety of applications in which they are required to absorb deformation energy. This paper investigates the collapse behaviour and energy absorption capability of cold-formed steel channels with flange edge stiffeners under large deformation major-axis bending. The Yield Line Mechanism technique is applied using the energy method, and based upon measured spatial plastic collapse mechanisms from experiments. Analytical solutions for the collapse curve and in-plane rotation capacity are developed, and used to model the large deformation behaviour and energy absorption. The analytical results are shown to compare well with experimental values. Due to the complexities of the yield line model of the collapse mechanism, a simplified procedure to calculate the energy absorbed by channel sections under large bending deformation is developed and also shown to compare well with the experiments.

A simple limit analysis procedure for reinforced concrete slabs using rigid finite elements

  • Ahmed, H.;Gilbert, M.
    • Structural Engineering and Mechanics
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    • v.84 no.1
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    • pp.129-141
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    • 2022
  • It has previously been proposed that the yield-line method of analysis for reinforced concrete slabs could be automated via the use of rigid finite elements, assuming all deformations occur along element edges. However, the solutions obtained using this approach can be observed to be highly sensitive to mesh topology. To address this, a revised formulation that incorporates modified yield criteria to account for the presence of non-zero shear forces at interfaces between elements is proposed. The resulting formulation remains simple, with linear programming (LP) still used to obtain solutions for problems involving Johansen's square yield criteria. The results obtained are shown to agree well with literature solutions for various slab problems involving uniform loading and a range of geometries and boundary conditions.

A Study on the Failure Behavior and the Application of Yield-Line Theory on the Bridge Decks Strengthened by Directional Fiber Plastic (일방향 섬유로 성능향상된 교량 상판의 파괴거동 및 항복선 이론을 적용한 해석적 연구)

  • 심종성;오홍섭;류승무
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.81-86
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    • 2001
  • The concrete bridge decks are in need of replacement and rehabilitation due to decreasing load carrying capacity. In this study, to propose a strengthening technique that improves usability and structural performance of the bridge deck and to propose an efficient strengthening design technique which satisfies both the strength End serviceability of the bridge deck, this paper shows the failure characteristics of the strengthened bridge decks and proposes an empirical yield criterion. Therefore, strengthening efficiency was proposed based on the experiment and yield line analysis result. The yield line theory which adopts the modified criteria of Johansen is considered to predict the ultimate strength about all strengthening material(Carbon Fiber Sheet, Carbon Fiber Rod, Grid Type Carbon Fiber).

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