• 제목/요약/키워드: lower bound limit analysis

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전단스팬비가 작은 철근콘크리트 부재의 전단내력평가에 관한 해석적 연구 (An Analytical Study on the Shear Capacity of Reinforced Concrete Member with Small Shear Span Ratio)

  • 강석화
    • 콘크리트학회지
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    • 제6권5호
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    • pp.193-202
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    • 1994
  • 본 연구에서는 전단스팬비가 작은 철근콘크리트부재를 대상으로, 기존에 주로 실험치에만 의존하여 제안되었던 전단내력식에서 탈피하여 극한해석법중의 하계정리를 이용하여 이론적으로 제안하였다. 본연구에서 제안한 모델에서는 아치기구와 트러스기구를 동시에 고려할 수가 있고 각각의 기구에서 분담하은 힘의 크기를 알 수 있다. 또한, 외부에서 가해진 힘이 어떻게 지검에 전달되고 있는가 시각적으로 이해할 수가 있으며, 전단스팬비(a/b), 전단보강근비, 인장철근비 등의 영향을 정량적으로 고려할 수가 있다. 본 연구에서 유도한 전단내력식을 기존의 실험치와 비교한 결과, 본 연구에서 제안한 식은 실험치와 대체로 일치하며, 다른 연구자에 의해 제안된 전단내력평가식에 손색이 없음을 알았다.

역학적으로 엄밀한 사면안정도표의 제안 (Proposal of a Mechanically Rigorous Slope Stability Chart)

  • 김종민
    • 한국지반공학회논문집
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    • 제20권1호
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    • pp.121-129
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    • 2004
  • 본 연구에서는 균질 단순사면의 안정검토 시 간편하게 이용할 수 있는 사면안정도표를 제안하였다. 기존의 사면안정도표는 대부분 한계평형해석에 근거하고 있으나 잘 알려진 바와 같이 한계평형해석은 역학적으로 엄밀한 해석기법이 아니다. 반면 가상일방정식과 소성이론의 경계정리를 이용한 한계해석은 계산이 간단하면서도 역학적 엄밀성이 보장되어 사면과 같은 지반구조물의 안정해석에 적합한 해석기 법이다. 특히 유한요소와 최적화기법을 적용한 수치한계해석은 다양한 사면조건을 반영할 수 있을 뿐 만 아니라 안정해의 최적값을 효율적으로 산정할 수 있는 장점이 있다. 본 연구에서는 유효응력 개념의 수치한계해석기법을 개발하고 다양한 사면조건에 대한 해석을 수행하여 역학적으로 엄밀한 사면안정도표를 제안하였다. 유효응력해석을 위한 간극수압의 영향은 기존의 사면안정도표와 같이 간극 수압비를 적용하여 고려하였다. 제안된 안정도표와 Spencer 안정도표를 비교한 결과 Spence. 안정도표를 적용하여 사면설계를 수행할 경우 안전측 설계가 됨을 알 수 있었다.

내압과 굽힘의 복합하중을 받는 원주방향 표면균열 배관에 대한 하한계 실단면 한계하중 (Lower Bound Net-Section Limit Loads for Circumferential Part-Through Surface Cracked Pipes under Combined Pressure and Bending)

  • 오창균;김종성;진태은;김윤재
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.1772-1777
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    • 2007
  • This paper provides plastic limit loads of pipes with constant-depth, circumferential part-through surface cracks under combined pressure and bending. A key issue is to postulate discontinuous hoop stress distributions in the net-section. Validity of the proposed limit load solutions is checked against the results from three-dimensional (3-D) finite element (FE) limit analyses using elastic-perfectly plastic material behavior.

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원형평판의 붕괴문제에 관한 유한차분 완전 하계해 (Complete lower bound solutions of circular plate collapse problems by a finite difference method)

  • 허훈
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1382-1390
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    • 1990
  • 본 연구에서는 Yang의 이론을 바탕으로 여러가지 원형집중하중을 받는 원형평 판에 관한 최대하계해를 구하고자 한다.앞서 열거한 문헌에서는 여러가지 해석법이 제시되었으나, 문제의 성격에 비하여 그 해법이 매우 복잡하였다. 본 논문에서는 원 형평판에 관한 해법으로서 전산기를 응용하여 가능한 한 단순한 해법으로 최대화기법 에 의한 완전한 해를 얻기 위한 시도를 제시하고자 한다.

Limit state assessment of nodal zone capacity in strut-and-tie models

  • Tjhin, Tjen N.;Kuchma, Daniel A.
    • Computers and Concrete
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    • 제4권4호
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    • pp.259-272
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    • 2007
  • A method based on the lower-bound theorem of limit analysis is presented for the capacity assessment of nodal zones in strut-and-tie models. The idealized geometry of the nodal zones is formed by the intersection of effective widths of the framing struts and ties. The stress distribution is estimated by dividing the nodal zones into constant stress triangles separated by lines of stress discontinuity. The strength adequacy is verified by comparing the biaxial stress field in each triangle with the corresponding failure criteria. The approach has been implemented in a computer-based strut-and-tie tool called CAST (Computer-Aided Strut-and-Tie). An application example is also presented to illustrate the approach.

하계해석을 이용한 수직방향 지진계수 영향에 따른 비탈면의 안정성 평가 연구 (A Study on the Estimation of Slope Stability under the Influence of the Vertical Direction Seismic Coefficient Using Lower Bound Analysis)

  • 최상호;김종민;김용수
    • 한국지반공학회논문집
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    • 제28권12호
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    • pp.123-131
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    • 2012
  • 최근에 발생한 아이티지진, 칠레지진의 지진파 기록에서 일반적으로 비탈면 안정해석에서 무시되었던 수직방향 지진가속도 성분이 크게 나타났다. 특히, 수직방향 지진성분은 진원이 내륙에 위치한 경우 더욱 뚜렷하게 나타난다. 그러므로 설계에 수직방향 지진성분을 고려하지 않은 지반 구조물들은 많은 인명과 재산 피해를 가져올 수 있다. 따라서, 본 연구는 지진계수비에 따른 수평방향 항복지진계수의 하계해를 산정하였고, 비탈면 안정성에 미치는 영향을 평가하였다. 또한, 한계상태 수직방향 지진계수의 방향(상향, 하향)을 결정할 수 있는 관계식을 제안하였다.

Horizontal pullout capacity of a group of two vertical plate anchors in clay

  • Bhattacharya, Paramita;Kumar, Jyant
    • Geomechanics and Engineering
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    • 제5권4호
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    • pp.299-312
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    • 2013
  • The horizontal pullout capacity of a group of two vertical strip plate anchors, placed along the same vertical plane, in a fully cohesive soil has been computed by using the lower bound finite element limit analysis. The effect of spacing between the plate anchors on the magnitude of total group failure load ($P_{uT}$) has been evaluated. An increase of soil cohesion with depth has also been incorporated in the analysis. For a weightless medium, the total pullout resistance of the group becomes maximum corresponding to a certain optimum spacing between the anchor plates which has been found to vary generally between 0.5B and B; where B is the width of the anchor plate. As compared to a single plate anchor, the increase in the pullout resistance for a group of two anchors becomes greater at a higher embedment ratio. The effect of soil unit weight has also been analyzed. It is noted that the interference effect on the pullout resistance increases further with an increase in the unit weight of soil mass.

Collapse mechanism for deep tunnel subjected to seepage force in layered soils

  • Yang, X.L.;Yan, R.M.
    • Geomechanics and Engineering
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    • 제8권5호
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    • pp.741-756
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    • 2015
  • The prediction of impending collapse of deep tunnel is one of the most difficult problems. Collapse mechanism of deep tunnel in layered soils is derived using a new curved failure mechanism within the framework of upper bound theorem, and effects of seepage forces are considered. Nonlinear failure criterion is adopted in the present analysis, and the possible collapse shape of deep tunnel in the layered soils is discussed in this paper. In the layered soils, the internal energy dissipations along velocity discontinuity are calculated, and the external work rates are produced by weight, seepage forces and supporting pressure. With upper bound theorem of limit analysis, two different curve functions are proposed for the two different soil stratums. The specific shape of collapse surface is discussed, using the proposed curve functions. Effects of nonlinear coefficient, initial cohesion, pore water pressure and unit weight on potential collapse are analyzed. According to the numerical results, with the nonlinear coefficient increase, the shape of collapse block will increase. With initial cohesion of the upper soil increase, the shape of failure block will be flat, and with the lower soil improving, the size of collapsing will be large. Furthermore, the shape of collapsing will decrease with the unit weight decrease.

Uplift capacity of horizontal anchor plate embedded near to the cohesionless slope by limit analysis

  • Bhattacharya, Paramita;Sahoo, Sagarika
    • Geomechanics and Engineering
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    • 제13권4호
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    • pp.701-714
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    • 2017
  • The effect of nearby cohesionless sloping ground on the uplift capacity of horizontal strip plate anchor embedded in sand deposit with horizontal ground surface has been studied numerically. The numerical analysis has been carried out by using the lower bound theorem of limit analysis with finite elements and linear optimization. The results have been presented in the form of non-dimensional uplift capacity factor of anchor plate by changing its distance from the slope crest for different slope angles, embedment ratios and angles of soil internal friction. It has been found that the decrease in horizontal distance between the edge of the anchor plate and the slope crest causes a continuous decrease in uplift capacity of anchor plate. The optimum distance is that distance between slope crest and anchor plate below which uplift capacity of an anchor plate has been found to decrease with a decrease in normalized crest distance from the anchor plate in presence of nearby sloping ground. The normalized optimum distance between the slope crest and the anchor plate has been found to increase with an increase in slope angle, embedment ratio and soil internal friction angle.

The structural performance of arches made of few vossoirs with dry-joints

  • Bernat-Maso, Ernest;Gil, Lluis;Marce-Nogue, Jordi
    • Structural Engineering and Mechanics
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    • 제44권6호
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    • pp.775-799
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    • 2012
  • This work approaches the structural performance of masonry arches that have a small ratio between number of vossoirs and span length. The aim of this research is to compare and validate three different methods of analysis (funicular limit analysis F.L.A., kinematic limit analysis K.L.A. and plane stress Finite Element Analysis F.E.A.) with an experimental campaign. 18 failure tests with arches of different shapes and boundary conditions have been performed. The basic failure mechanism was the formation of enough hinges in the geometry. Nevertheless, in few cases, sliding between vossoirs also played a relevant influence. Moreover, few arches didn't reach the collapse. The FLA and KLA didn't find a solution close to the experimental values for some of the tests. The low number of vossoirs and joints become a drawback for an agreement between kinematic mechanism, equilibrium of forces and geometry constraints. FLA finds a lower bound whereas KLA finds an upper bound of the ultimate load of the arch. FEA is the most reliable and robust method and it can reproduce most of the mechanism and ultimate loads. However, special care is required in the definition of boundary conditions for FEA analysis. Scientific justification of the more suitability of numerical methods in front of classic methods at calculating arches with a few vossoirs is the main original contribution of the paper.