• 제목/요약/키워드: rectangular foundation

검색결과 96건 처리시간 0.025초

Pasternak지반에 지지된 집중질량을 갖는 보강된 변단면 후판의 동적안정해석 (Dynamic Stability Analysis of Stiffened Tapered Thick Plate with Concentrated Mass on Pasternak Foundations)

  • 이용수;김일중
    • 한국소음진동공학회논문집
    • /
    • 제19권12호
    • /
    • pp.1296-1305
    • /
    • 2009
  • This paper has the object of investigating dynamic stability of stiffened tapered thick plate with concentrated mass on Pasternak foundation by means of finite element method and providing kinematic design data for mat of building structures. Finite element analysis of stiffened tapered thick plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is supported on Pasternak foundation, the Winkler foundation parameter is varied with 10, 100, 1000 and the shear foundation parameter is 5, 10, concentrated mass is $0.25m_c$, $1.0m_c$, tapered ratio is 0.25, 0.5. The ratio of In-plane force to critical load is applied as $0.4\sigma_{cr},\;0.6\sigma_{cr},\;0.8\sigma_{cr}$ respectively. This paper analyzed varying tapered ratio.

변단면 후판의 동적안정해석 (Dynamic Stability Analysis of Tapered Thick Plate)

  • 김일중;오숙경;이용수
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2004년도 추계학술대회논문집
    • /
    • pp.894-897
    • /
    • 2004
  • This paper has the object of investigating dynamic stability of opening thick plates on Pasternak foundation by means of finite element method and providing Kinematic design data for mat of building structures. Finite element analysis of Tapered Thick plate is done by use of rectangular (mite element with 8-nodes. In order to analysis plate which is supported on Pasternak foundation, the Winkler foundation parameter is varied with $10^2,\;10^3$ and the shear foundation parameter is 5, 10. The ratio of In-plane force to critical load is applied as 0.4, 0.6, respectively. This paper analyzed varying Tapered Ratio.

  • PDF

Shear stresses below the rectangular foundations subjected to biaxial bending

  • Dagdeviren, Ugur
    • Geomechanics and Engineering
    • /
    • 제10권2호
    • /
    • pp.189-205
    • /
    • 2016
  • Soils are subjected to additional stresses due to the loads transferred by the foundations of the buildings. The distribution of stress in soil has great importance in geotechnical engineering projects such as stress, settlement and liquefaction analyses. The purpose of this study is to examine the shear stresses on horizontal plane below the rectangular foundations subjected to biaxial bending on an elastic soil. In this study, closed-form analytical solutions for shear stresses in x and y directions were obtained from Boussinesq's stress equations. The expressions of analytical solutions were simplified by defining the shear stress influence values ($I_1$, $I_2$, $I_3$), and solution charts were presented for obtaining these values. For some special loading conditions, the expressions for shear stresses in the soil below the corners of a rectangular foundation were also given. In addition, a computer program was developed to calculate the shear stress increment at any point below the rectangular foundations. A numerical example for illustrating the use of the presented solution charts was given and, finally, shear stress isobars were obtained for the same example by a developed computer program. The shear stress expressions obtained in this work can be used to determine monotonic and cyclic behavior of soils below rectangular foundations subjected to biaxial bending.

집중질량 크기 변화해 따른 변단면판의 동적안정해석 (Dynamic Stability Analysis of Tapered Thick Plate on varying Concentrated Mass)

  • 김일중;오숙경
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
    • /
    • pp.127-132
    • /
    • 2007
  • This paper has the object of investigating dynamic stability of opening thick plates on Pasternak foundation by means of finite element method and providing Kinematic design data for mat of building structures. Finite element analysis of Tapered Thick plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is supported on Pasternak foundation. the Winkler foundation parameter is varied with $10^2$, $10^3$ and the shear foundation parameter is 5, 10. The ratio of force to critical load is applied as 0.4, 0.6, respectively. This paper analyzed varying Tapered Ratio and Concentrated Mass.

  • PDF

Analysis of elastic foundation plates with internal and perimetric stiffening beams on elastic foundations by using Finite Differences Method

  • Orbanich, C.J.;Ortega, N.F.
    • Structural Engineering and Mechanics
    • /
    • 제45권2호
    • /
    • pp.169-182
    • /
    • 2013
  • The mechanical behavior of rectangular foundation plates with perimetric beams and internal stiffening beams of the plate is herein analyzed, taking the foundation design into account. A series of dimensionless parameters related to the geometry of the studied elements were defined. In order to generalize the problem statement, an initial settlements was considered. A numeric procedure was developed for the resolution by means of the Finite Differences Method that takes into account the stiffness of the plate, the perimetric and internal plate beams and the soil reaction module. Iterative algorithms were employed which, for each of the analyzed cases, made it possible to find displacements and reaction percentages taken by the plate and those that discharge directly into the perimetric beams, practically without affecting the plate. To enhance its mechanical behavior the internal stiffening beams were prestressed and the results obtained with and without prestressing were compared. This analysis was made considering the load conditions and the soil reaction module constant.

사질토 지반에서 Shell 기초 거동에 대한 연구 (A Study on Shell Foundation Behaviour in Cohesionless Soil)

  • 김상환;이충환;최충식
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
    • /
    • pp.1144-1154
    • /
    • 2008
  • In this paper, the behaviour of shell foundation was studied. In order to perform this study, three studies such as theoretical, numerical and experimental programs were performed. In the theoretical program, the general shallow foundation theories and failure mechanism developed by Terzaghi, Mayerhof and others were reviewed and compared. Based on the previous shallow foundation behaviour, the shell foundation theory was developed using the upper boundary theorem. In the numerical study, the 2 and 3 dimensional FEM simulations were carried out using an uncoupled-analysis approach. From the analysis results, the adequate depth of shell foundation was evaluated. It was also evaluated the bearing capacity according to the shell angle ($120^{\circ}$, $90^{\circ}$, $60^{\circ}$). In the experimental study, the laboratory model tests were carried out for five cases of different foundation shapes including the rectangular and circular foundation in order to verify the theoretical and nemerical study. According to the results of this study, the bearing capacity of shell foundation was theoretically about 15% larger than that of general foundation. However, in the model test, the bearing capacity of shell foundation was about 25 to 30% larger than that of general foundation. In the case of shell angle, the maximum bearing capacity of shell foundation shows when the shell angle of foundation was $60^{\circ}$. In addition, Even if the shell foundation has the various advantages compared with the general foundations as described above, the practical verifications in full scale size will be necessary to use in the field and will be helpful in the technical development of other special foundations.

  • PDF

기초형상에 따른 전철주기초 모멘트 저항거동에 관한 수치해석 연구 (Numerical Analyses on Moment Resisting Behaviors of Electric Pole Foundations According to Their Shapes)

  • 이수형
    • 한국지반공학회논문집
    • /
    • 제29권11호
    • /
    • pp.85-97
    • /
    • 2013
  • 가공 전철선의 지지를 위하여 철도선로에 근접하여 설치되는 전철주기초는 풍하중에 의한 매우 큰 전도 모멘트에 저항하도록 설계되어야 하며 동시에 철도선로 인근의 좁은 공간에 설치될 수 있는 형상을 가져야 한다. 본 논문에서는 수치해석을 통해 전철주기초의 형상에 따른 모멘트 저항거동을 평가하였다. 전도에 저항하는 전철주기초의 거동 특성을 모사할 수 있는 3차원 유한요소해석기법을 개발하였으며, 해석결과를 기존의 실물 재하시험 결과와 비교하여 그 유효성을 확인하였다. 세장비, 깊이에 따른 단면 변화, 직사각형 단면의 하중재하 방향 등을 변화시킨 다양한 조건의 기초에 대하여 모멘트 저항거동을 분석하였으며, 그 결과를 이용하여 철도선로에 근접하여 보다 효율적이고 경제적으로 시공이 가능한 전철주기초 형상을 제시하였다.

Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory

  • Benferhat, Rabia;Daouadji, Tahar Hassaine;Mansour, Mohamed Said;Hadji, Lazreg
    • Earthquakes and Structures
    • /
    • 제10권5호
    • /
    • pp.1033-1048
    • /
    • 2016
  • An analytical solution based on the neutral surface concept is developed to study the free vibration behavior of simply supported functionally graded plate reposed on the elastic foundation by taking into account the effect of transverse shear deformations. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain obtained by using a new refined shear deformation theory. The foundation is described by the Winkler-Pasternak model. The Young's modulus of the plate is assumed to vary continuously through the thickness according to a power law formulation, and the Poisson ratio is held constant. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton's principle. Numerical examples are provided to show the effect of foundation stiffness parameters presented for thick to thin plates and for various values of the gradient index, aspect and side to thickness ratio. It was found that the proposed theory predicts the fundamental frequencies very well with the ones available in literature.

The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate

  • Boulefrakh, Laid;Hebali, Habib;Chikh, Abdelbaki;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Geomechanics and Engineering
    • /
    • 제18권2호
    • /
    • pp.161-178
    • /
    • 2019
  • In this research, a simple quasi 3D hyperbolic shear deformation model is employed for bending and dynamic behavior of functionally graded (FG) plates resting on visco-Pasternak foundations. The important feature of this theory is that, it includes the thickness stretching effect with considering only 4 unknowns, which less than what is used in the First Order Shear Deformation (FSDT) theory. The visco­Pasternak's foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The equations of motion for thick FG plates are obtained in the Hamilton principle. Analytical solutions for the bending and dynamic analysis are determined for simply supported plates resting on visco-Pasternak foundations. Some numerical results are presented to indicate the effects of material index, elastic foundation type, and damping coefficient of the foundation, on the bending and dynamic behavior of rectangular FG plates.

A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models

  • Luevanos-Rojas, Arnulfo;Barquero-Cabrero, Jose Daniel;Lopez-Chavarria, Sandra;Medina-Elizondo, Manuel
    • Coupled systems mechanics
    • /
    • 제6권4호
    • /
    • pp.417-437
    • /
    • 2017
  • This paper shows a comparative study for design of reinforced concrete boundary combined footings of trapezoidal and rectangular forms supporting two columns and each column transmits an axial load and a moment around of the axis X (transverse axis of the footing) and other moment around of the axis Y (longitudinal axis of the footing) to foundation to obtain the most economical combined footing. The real soil pressure acting on the contact surface of the footings is assumed as a linear variation. Methodology used to obtain the dimensions of the footings for the two models consider that the axis X of the footing is located in the same position of the resultant, i.e., the dimensions is obtained from the position of the resultant. The main part of this research is to present the differences between the two models. Results show that the trapezoidal combined footing is more economical compared to the rectangular combined footing. Therefore, the new model for the design of trapezoidal combined footings should be used, and complies with real conditions.