• Title/Summary/Keyword: Uniformly Distributed Load

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Influence of Elastic Restraints and Tip Mass at Free End on stability of Leipholz Column (Leipholz 기둥의 안정성에 미치는 자유단의 탄성구속과 말단질량의 영향)

  • 윤한익;박일주;진종태;김영수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.309-315
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    • 1996
  • An analysis is presented on the stability of elastic cantilever column subjected to uniformly distributed follower forces as to the influence of the elastic restraints and a tip mass at the free end. The elastic restraints are formed by both the translational and the rotatory springs. For this purpose, the governing equations and boundary conditions are derived by using Hamilton's principle, and the critical flutter loads and frequencies are obtained from the numerical evaluation of the eigenvalue functions of this elastic system. The added tip mass increases as a whole the critical flutter load in this system, but the presence of its moment of inertia of mass has a destabilizing effect. The existence of the translational and rotatory spring at the free end increases the critical flutter load of the elastic cantilever column. Nevertheless their effects on the critical flutter load are not uniform because of their coupling. The translational spring restraining the end of cantilever column decreases the critical flutter load by coupling with a large value of tip mass, while by coupling with the moment of inertia of tip mass its effect on the critical flutter load is contrary. The rotatory spring restraining the free end of cantilever column increases the critical flutter load by coupling with the tip mass, but decreases it by coupling with the moment of inertia of tip mass.

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Strength and behaviour of reinforced SCC wall panels in one-way action

  • Ganesan, N.;Indiraa, P.V.;Prasad, S. Rajendra
    • Structural Engineering and Mechanics
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    • v.36 no.1
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    • pp.1-18
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    • 2010
  • A total of 28 wall panels were cast and tested under uniformly distributed axial load in one-way in-plane action to study the effect of slenderness ratio (SR) and aspect ratio (AR) on the ultimate load. Two concrete formulations, normal concrete (NC) and self compacting concrete (SCC), were used for the casting of wall panels. Out of 28 wall panels, 12 were made of NC and the remaining 16 panels were of SCC. All the 12 NC panels and 12 out of 16 SCC panels were used to study the influence of SR and the remaining 4 SCC panels were tested to study the effect of AR on the ultimate load. A brief review of studies available in literature on the strength and behaviour of reinforced concrete (RC) wall panels is presented. Load-deformation response was recorded and analyzed. The ultimate load of SCC wall panels decreases non-linearly with the increase in SR and decreases linearly with increasing values of AR. Based on this study a method is proposed to predict the ultimate load of reinforced SCC wall panels. The modified method includes the effect of SR, AR and concrete strength.

Post-Buckling of Shear Deformable Uniform Columns Under a Combined Load (조합하중을 받는 전단변형 기둥의 좌굴 후 거동 해석)

  • Yoo, Yeong Chan;Shin, Young Jae
    • Journal of Korean Society of Steel Construction
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    • v.15 no.3
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    • pp.313-320
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    • 2003
  • The governing equation of the post-buckling of shear-deformable uniform columns under a combined load consisting of a uniformly distributed axial load and a concentrated load at a free end was derived and the post-buckling analysis was investigated by using differential transformation. The loads were obtained for various end-slopes. The results obtained by the present method agree well with published results. In this paper, the differential transformation method was illustrated through its application to the non-linear differential equation of the post-buckling. It is expected that applications of the method to more challenging problems will are expected follow in future to ensue.

An analytical study of stresses in a square flat plate subjected to a concentrated load using the three-dimensional theory of elasticity (集中荷重을 받는 正方形 平板의 三次元 彈性理論에 의한 應力解析)

  • 양인영;정태권;이상호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.3
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    • pp.323-329
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    • 1989
  • In the stress analysis of plate, Classical plate theories are generally used. But, in applying these theories the stresses underneath the concentrated load point cannot be analyzed because the solution of stress fails to converge. In this paper, therefore, an attempt is made to analyze the stresses directly underneath the concentrated load point for a supported square plate by using the three dimensional theory of elasticity and the potential theory of displacement on the supposition that uniformly distributed load acts on the central part of it. In order to clarify the validity of the theoretical analysis, experiments for strain are carride out with a square plate. It is shown that these theoretical results are in close agreement with experimental results. Specially, this analysis is in a good agreement with actual phenomenon in case of the thick plate.

Elastic Buckling of Monosymmetric I-beams considering Load Height Effects (하중고 효과를 고려한 일축대칭 I형보의 탄성 좌굴)

  • Ryu, Hyo Jin;Park, Gyung Hyeon;Kim, Jung Hun;Lim, Nam Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.20 no.1
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    • pp.175-181
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    • 2008
  • Finite element buckling analyses of the monosymmetric I-beams subjected to t ransverse loading applied at different heights with respect to the mid-height of the cross section were conducted. Transverse loads consisting of a mid-span point load and a uniformly distributed load were considered in the investigation. The method suggested in the SRC Guide was compared with the finite element method (FEM) results. This paper presents a more accurate moment gradient correction factor for monosymetric I-beams considering the load height effect. The applicability of this new design method is limited to monosymmetric I-beams in which the degree of monosymetry, ${\rho}$, is from 0.1 to 0.9.

Effect of the height of SCSW on the optimal position of the stiffening beam considering axial force effect

  • Azar, B. Farahmand;Hadidi, A.;Khosravi, H.
    • Structural Engineering and Mechanics
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    • v.41 no.2
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    • pp.299-312
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    • 2012
  • Stiffened coupled shear walls (SCSW) are under axial load resulting from their weight and this axial load affects the behavior of walls because of their excessive height. In this paper, based on the continuum approach, the optimal position of the stiffening beam on the stiffened coupled shear walls is investigated considering the effect of uniformly distributed axial loads. Moreover, the effect of the height of stiffened coupled shear walls on the optimal position of the stiffening beam has been studied with and without considering the axial force effect. A computer program has been developed in MATLAB and numerical examples have been solved to demonstrate the reliability of this method. The effects of the various flexural rigidities of the stiffening beam on the internal forces and the lateral deflection of the structure considering axial force effect have also been investigated.

Assessment of transient vibrations of graphene oxide reinforced plates under pulse loads using finite strip method

  • Mirjavadi, Seyed Sajad;Forsat, Masoud;Barati, Mohammad Reza;Hamouda, A.M.S.
    • Computers and Concrete
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    • v.25 no.6
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    • pp.575-585
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    • 2020
  • Based on a refined shear deformation finite strip, transient vibrations of graphene oxide powder (GOP) reinforced plates due to external pulse loads have been investigated. The plate has uniformly and linearly distributed GOPs inside material structure. Applied pulse loads have been selected as sinusoidal, linear and blast types. Such pulse loads result in transient vibrations of the GOP-reinforced plates which are not explored before. Finite strip method (FSM) has been performed for solving the equations of motion and then inverse Laplace transform technique has been employed to derive transient responses due to pulse loading. It is reported in this study that the transient responses of GOP-reinforced plates are dependent on GOP dispersions, GOP volume fraction, type of pulse loading, loading time and load locations.

Inelastic lateral-distortional buckling of continuously restrained continuous beams

  • Lee, Dong-Sik
    • Steel and Composite Structures
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    • v.5 no.4
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    • pp.305-326
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    • 2005
  • The inelastic buckling behaviour of continuously restrained two and three-span continuous beams subjected to concentrated loads and uniformly distributed loads are studied in this paper. The restraint type considered in this paper is fully restrained against translation and elastic twist applied at the top flange. These types of restraints are most likely experienced in industrial structures, for example steel-concrete composite beams and half through girders. The buckling analysis of continuous beam consists of two parts, firstly the moment and shear distribution along the member are determined by employing force method and the information is then used for an out-of-plane buckling analysis. The finite element method is incorporated with so-called simplified and the polynomial pattern of residual stress. Owing to the inelastic response of the steel, both the in-plane and out-of-plane analysis, which is treated as being uncoupled, extend into the nonlinear range. This paper presents the results of inelastic lateral-torsional and lateral-distortional buckling load and finally conclusions are drawn regarding the web distortion.

Age-Dependent Behaviors of RC Structures (RC 구조물의 재령종속적 거동)

  • Park, Kun-Tae;Park, Yeong-Seong;Yeon, Dal-Goo;Kang, Byeong-Su;Lee, Yong-Hak
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.147-148
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    • 2010
  • Time-dependent deformation process of concrete was incrementally formulated to take account of the persistent change of creep-inducing stress as well as shrinkage and development of elastic modulus. Three types of experiments were performed including a set of experiments to derive three basic time-dependent equations regarding to shrinkage, creep and development of elastic modulus of concrete, cylindrical concrete specimen with axial reinforcements subjected to a sustained axial load, and RC beam subjected to uniformly distributed load as well as self-weight.

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Buckling of Bimodulus Composite Thin Plate (이중탄성계수 복합재료판의 좌굴)

  • 이영신;김종천
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1520-1534
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    • 1994
  • A new analytical method for the prediction of the buckling behavior of laminated plates consisting of layers having different properties in tension and compression, so called bimodulus, is proposed in this paper. Buckling analysis of bimodular composite laminated paltes are performed with the results reduced from plate bending analysis. The governing equations of bimodular plates are based on the first shear deformation theory. As a case study, bending and buckling of simply supported, multilayered, symmetric, antisymmtric, and specially orthotropic laminates under uniformly distributed lateral load for bending analysis and in-plane load for buckling are considered. The results of the bending analysis are compared with the previous papers. Then, the fundamental critical buckling loads and buckling modes are calculated for the various bimodular composite rectangular thin plates.