TITLE

Exact Three-Dimensional Elasticity Solution for Buckling of Beam of a Circular Cross-Section

AUTHOR(S)
Toshimi TAKI; Kyohei KONDO
PUB. DATE
January 2017
SOURCE
Transactions of the Japan Society of Aeronautical & Space Scienc;2017, Vol. 60 Issue 1, p45
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
An exact three-dimensional elasticity solution for buckling of a circular cross-section beam with one end fixed and the other end free is obtained. A comparison is made using the approximate solution by Kardomateas and an exact two-dimensional solution by Chattopadhyay and Gu. The buckling loads of both exact solutions are in good agreement with each other, but the buckling load using the approximate solution is slightly higher than the exact solutions. The exact solutions support Engesser's formula rather than Haringx's formula for the buckling load of a beam with transverse shear effect.
ACCESSION #
120832263

 

Related Articles

  • Three-dimensional elasticity solutions for bending of generally supported thick functionally graded plates. Zhang, He; Jiang, Ji-qing; Zhang, Zhi-cheng // Applied Mathematics & Mechanics;Nov2014, Vol. 35 Issue 11, p1467 

    Three-dimensional elasticity solutions for static bending of thick functionally graded plates are presented using a hybrid semi-analytical approach-the state-space based differential quadrature method (SSDQM). The plate is generally supported at four edges for which the two-way differential...

  • Love waves in initially deformed rubberlike Gent and Yeoh materials. Kosińska, A.; Kosiński, S. // Archives of Civil & Mechanical Engineering (Oficyna Wydawnicza P;2011, Vol. 11 Issue 2, p365 

    The purpose of this paper is to consider the effect of the initial deformation on the propagation of Love waves in nonlinear rubberlike materials with the representation of the strain energy function derived by Gent and Yeoh. A layer of finite thickness overlying a half space, both made of...

  • Determination of Static Modulus of Elasticity of Refractory Metals and Alloys from Acoustic Impedance Tests. Mohammed, Arshed Abdulhamed; Haris, Sallehuddin Mohamed; Nuawi, Mohd Zaki // Australian Journal of Basic & Applied Sciences;2014 Special, Vol. 8 Issue 15, p126 

    It is known that the modulus of elasticity of materials obtained from acoustic impedance tests do not match the static modulus of elasticity, ES values obtained from traditional tensile tests, especially for refractory metals and alloys. This study proposes a new mathematical relationship...

  • The nonlinear elasticity of hexagonal Ti2C monolayer from first-principles calculations. Shun Wang; Jingxiao Li; Yuanyuan Ou; Yulei Du // Materials Science Forum;2015, Vol. 833, p150 

    In this work, the nonlinear elasticity of hexagonal Ti2C monolayer is studied by first-principles calculations. The second- and third-order elastic constants were calculated using nonlinear elasticity theory. The nonlinear stress-strain relationship depending on higher order elastic constants...

  • Two-dimensional Problem of Moisture Elasticity of Inhomogeneous Spherical Array with Cavity. Andreev, Vladimir I.; Avershyev, Anatoliy S. // Applied Mechanics & Materials;2014, Issue 580-583, p812 

    The numerical-analytical solution of the axisymmetric problem of moisture-elasticity for hollow spherical soil massive is provided. We consider the steady-state water transfer. Inhomogeneity of the array due to the dependence of the deformation modulus on the soil moisture. Stress state of the...

  • Dynamic Pull-In Instability of a Thermoelectromechanically Loaded Micro-Beam Based on 'Symmetric Stress' Gradient Elasticity Theory. Yang, L.; Fang, F.; Peng, J. S.; Yang, J. // International Journal of Structural Stability & Dynamics;Dec2017, Vol. 17 Issue 10, p-1 

    The dynamic pull-in instability of a thermoelectromechanically loaded micro-beam is investigated based on the 'symmetric stress' gradient elasticity theory and Euler-Bernoulli beam theory. The beam is subjected to the combined action of an electric voltage, axial static force and a uniform...

  • Analysis of the effect of elastic deformation of the mast on the positioning of antenna and radar equipment. Kirsanov, M. N.; Andreyevskaya, T. M. // Magazine of Civil Engineering;2013, Issue 5, p52 

    The influence of the eccentricity and the position of the load on the radar mast is studied. The mast is a statically determinate truss, consisting of three identical plane trusses connected to the regular truncated pyramid. Vertical truss is divided into n zones of equal height. The load is...

  • The influence of elastic deformations on the hysteresis properties of a two-layer ferromagnet composed of components with magnetostrictions of opposite signs. Gorkunov, E.; Subachev, Yu.; Povolotskaya, A.; Zadvorkin, S. // Russian Journal of Nondestructive Testing;Aug2014, Vol. 50 Issue 8, p469 

    The influence of an elastic deformation that is produced by an uniaxial extension (compression) on the behavior of several magnetic characteristics of Armco iron and nickel, whose magnetostrictions have opposite signs, and a two-layer material composed of them was studied. The magnetic...

  • Cratering Simulation on Anisotropic Targets. Krivosheina, M. N.; Tuch, E. V.; Konisheva, I. U.; Kozlova, M. A. // News of Altai State University;2014, Vol. 1 Issue 81, p68 

    According to kinematic and geometric parameters of target stress loading, target destruction can be caused by cratering, spalling, etc. Simulation of various types of deformation should incorporate various deformation criteria. Elastic deformation of anisotropic material is described by the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics