• Title/Summary/Keyword: slope-deflection method

Search Result 52, Processing Time 0.022 seconds

Application of the Boundary Element Method to Finite Deflection of Elastic Bending Plates

  • Kim, Chi Kyung
    • International Journal of Safety
    • /
    • v.2 no.1
    • /
    • pp.39-44
    • /
    • 2003
  • The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.

Deformation Behavior and Slope Stability Effect of Anchored Retention Walls Installed in Cut Slope (절개사면에 설치된 앵커지지 합벽의 변형거동 및 사면안정효과)

  • Hong Won-Pyo;Han Jung-Geun
    • Journal of the Korean Geotechnical Society
    • /
    • v.20 no.9
    • /
    • pp.57-64
    • /
    • 2004
  • In order to establish the design method of anchored retention walls in cut slope, the behavior of anchored retention walls and backside ground needs to be investigated and checked in detail. In this study, the behavior of anchored retention walls was investigated by instrumentation installed in cut slope for an apartment construction site stabilized by a row of piles and anchored retention walls. When the anchor was installed at each excavating stages, the horizontal deflection of retention wall decreased, while the horizontal deformation of backside ground increased. The deflection of anchored retention wall decreased as the anchor was prestressed. The prestressed anchor farce has a great effect on the deflection of retention walls, while it has little effect on the deformation of its backside ground. The maximum horizontal deflection of anchored retention walls was developed between $1\%\;and\;4\%$ of excavation depth, which are $2\~8$ times larger than max. horizontal deflection of anchored retention walls including rock layers with backside horizontal ground. Meanwhile, SLOPILE (ver. 3.0) program analyzes the slope stability effects for anchored retention walls. As a result of analysis on slope stability analysis, the lateral earth pressure applied at anchored retention piles could be used as the mean values of empirical lateral pressures using anchored retention wall with horizontal ground at its backside.

Elasto-Plastic Buckling Analysis Based on the Slope-Deflection Method (처짐각법을 이용한 선형부재의 탄소성 좌굴해식)

  • Cheong, Myung-Chae
    • Journal of Korean Association for Spatial Structures
    • /
    • v.6 no.4 s.22
    • /
    • pp.63-72
    • /
    • 2006
  • Fundamental equations of a member to analysis the elasto-plastic buckling analysis based on the deflection method are derived in this paper, and its validity and accuracy are shown by the numerical examples. The model discussing in the present paper has three elasto-plastic springs which are located at the both ends and center of a member and two elastic beam elements between them. The elasto-plastic springs represent the elasto-plastic behavior of the member and elastic beam element represents buckling behavior of the member. Numerical example shows the validity of this formulation.

  • PDF

Stress Analysis of Semi-Rigid Steel Frame (부분 고정 강골조의 응력해석)

  • 안성기;김순철;이수곤
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2000.04b
    • /
    • pp.35-42
    • /
    • 2000
  • Among the various models proposed for the description of semi-rigid connection behavior, Kinney's fixity facto. (=f) definition is adopted. If one follows this definition, f=1.0 signifies a completely fixed connection and f=0.0, the frictionless hinge. Kim's new slope-deflection equations based on the Kinney's fixity factors are the principal idea of this paper. Proposed finite element program also includes the effect of axial shortening of column, which is neglected in the stress analysis of frame leg conventional slope-deflection method. For the economic design, especially for the saving of beam weight in the high-rise office buildings or apartment houses, the proposed method can be applied.

  • PDF

The Analysis of Bridge Deck Considering Relative Girder Deflection (거더간 상대처짐을 고려한 바닥판의 해석)

  • 유철수;강영종;최진유;양기재
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1998.04a
    • /
    • pp.141-148
    • /
    • 1998
  • The chloride attack of the top mat of reinforcing bars is a major cause of deterioration of comcrete deck of plate girder bridges. This is caused by a current design method which requires a top mat of reinforcing bars to resist a negative bending moment in bridge decks. In recently, empirical evidence has indicated that the top transverse reinforcing bars can patially or fully be eliminated without jeopardizing the structural integrity of a deck. So, one of the most efficient way to increase durability of concrete deck of bridges is the development of new design method that reduce or eliminate the top mat reinforcing bars, mad it is possible by the exact analysis that considering the negative bending moment reducing effect which introduced by relative deflection of plate girders. In this study, we develop the new bridge deck analysis method that considered the effect of relative girder deflection by applying the principles of slope deflection method of frames, and that is fine tuned with results of finite element analysis. This new approach evaluate a bending moment in a deck based on the effect of relative girder deflection as well as the magnitude of wheel loads, the girder spacing and stiffness, deck stiffness and the span length

  • PDF

Damage detection in beam-like structures using deflections obtained by modal flexibility matrices

  • Koo, Ki-Young;Lee, Jong-Jae;Yun, Chung-Bang;Kim, Jeong-Tae
    • Smart Structures and Systems
    • /
    • v.4 no.5
    • /
    • pp.605-628
    • /
    • 2008
  • In bridge structures, damage may induce an additional deflection which may naturally contain essential information about the damage. However, inverse mapping from the damage-induced deflection to the actual damage location and severity is generally complex, particularly for statically indeterminate systems. In this paper, a new load concept, called the positive-bending-inspection-load (PBIL) is proposed to construct a simple inverse mapping from the damage-induced deflection to the actual damage location. A PBIL for an inspection region is defined as a load or a system of loads which guarantees the bending moment to be positive in the inspection region. From the theoretical investigations, it was proven that the damage-induced chord-wise deflection (DI-CD) has the maximum value with the abrupt change in its slope at the damage location under a PBIL. Hence, a novel damage localization method is proposed based on the DI-CD under a PBIL. The procedure may be summarized as: (1) identification of the modal flexibility matrices from acceleration measurements, (2) design for a PBIL for an inspection region of interest in a structure, (3) calculation of the chord-wise deflections for the PBIL using the modal flexibility matrices, and (4) damage localization by finding the location with the maximum DI-CD with the abrupt change in its slope within the inspection region. Procedures from (2)-(4) can be repeated for several inspection regions to cover the whole structure complementarily. Numerical verification studies were carried out on a simply supported beam and a three-span continuous beam model. Experimental verification study was also carried out on a two-span continuous beam structure with a steel box-girder. It was found that the proposed method can identify the damage existence and damage location for small damage cases with narrow cuts at the bottom flange.

Structural Analysis of Ship Structures by Generalized Slope Deflection Method (일반화 경사처짐법에 의한 선체의 횡강도 해석)

  • Jang, Chang-Doo;Na, Seung-Soo
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.33 no.2
    • /
    • pp.65-74
    • /
    • 1996
  • For the structural analysis of ship structures finite element method is generally used but it requires lots of working and computing time from the design viewpoint. Therefore, it is desirable to adopt a new analysis method which gives little computing time and high accuracy instead of finite element method to carry out various alternative design and optimum design. In this study, from the analysis viewpoint, structural analysis of oil tankers is carried out to verify the effectiveness of the generalized slope deflection method and the new equivalent curved beam theory which were formulated by the authors and their superiority is verified by comparison of the computing time and the results of accuracy with existing methods.

  • PDF

A Program for Distortional Analysis of Steel Box Girder Bridges (강상자형교의 뒤틀림 해석을 위한 프로그램 개발)

  • Lee, Hee Up;Yang, Chang Hyun
    • Journal of Korean Society of Steel Construction
    • /
    • v.11 no.1 s.38
    • /
    • pp.13-22
    • /
    • 1999
  • The objective of this paper is to develop a program for distortional analysis of steel box girder bridges. This program is formulated by using MSDM(modified slope deflection method). Two examples are carried out to verify the validity of the developed technique and its computation procedures. The analyzed results are compared with the previously proposed methods, BEF(beam on elastic foundation) and EBEF(equivalent beam on elastic foundation). The BEF method is limited only to prismatic straight box girders. In the EBEF method, stiffness of the intermediate diaphragms is infinitely considered. On the other hand, stiffness of the intermediate diaphragms is idealized as spring contant in this study. And then, nonprismatic straight box girders can be analyzed using the same procedure. Therefore, the comparison shows that the MSDM algorithm proposed in this paper is more efficient and reliable. Also parametric studies are perfomed using the proposed algorithm.

  • PDF

Development of Optimum Structural Design System for Double Hull Oil Tankers (이중 선각 유조선의 최적 구조 설계 시스템 개발)

  • Chang-Doo Jang;Seung-Soo Na
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.37 no.1
    • /
    • pp.118-126
    • /
    • 2000
  • An optimum structural design system for double hull oil tankers is developed based on the generalized slope deflection method which was previously proposed by the authors. For the optimization technique, the Hooke & Jeeves direct search method is applied to the minimum weight design problems with discrete design variables. A minimum weight design program is developed for the longitudinal members by the classification rules and for the transverse frames and the bulkhead members by the generalized slope deflection method. By this program, a minimum hull weight design of double hull oil tankers considering tank arrangement is performed and the design results are compared with existing ship. It is possible to find optimum tank arrangement and efficient types of hull structures for the minimum weight design of double hull oil tankers.

  • PDF

Damage localization and quantification in beams from slope discontinuities in static deflections

  • Ma, Qiaoyu;Solis, Mario
    • Smart Structures and Systems
    • /
    • v.22 no.3
    • /
    • pp.291-302
    • /
    • 2018
  • This paper presents a flexibility based method for damage identification from static measurements in beam-type structures. The response of the beam at the Damaged State is decomposed into the response at the Reference State plus the response at an Incremental State, which represents the effect of damage. The damage is localized by detecting slope discontinuities in the deflection of the structure at the Incremental State. A denoising filtering technique is applied to reduce the effect of experimental noise. The extent of the damage is estimated through comparing the experimental flexural stiffness of the damaged cross-sections with the corresponding values provided by analytical models of cracked beams. The paper illustrates the method by showing a numerical example with two cracks and an experimental case study of a simply supported steel beam with one artificially introduced notch type crack at three damage levels. A Digital Image Correlation system was used to accurately measure the deflections of the beam at a dense measurement grid under a set of point loads. The results indicate that the method can successfully detect and quantify a small damage from the experimental data.