Indian Journal of Innovations and Developments

Open Access Open Access  Restricted Access Subscription Access

Uncoupled Lateral Buckling Energy Functional for Beams with Dual Symmetry


Affiliations
1 Civil Engineering Department, University of Agriculture Makurdi, Nigeria
 

This paper is concerned with uncoupling the lateral buckling energy functional for thin walled beams of dual symmetric sections so that only one solution function would be used in the solution process without appreciable loss of accuracy. This is achieved by consideration of equilibrium of forces in the lateral buckling plane as well as equilibrium in the vertical plane, for the uncoupled equilibrium state. Examples are presented to show the validity of the proposed functional. Results of analysis using the proposed functional are compared with exact values in the literature and are within two percent (2 %) of the exact values. It is concluded that the proposed functional is suitable for use in the calculation of lateral buckling strengths for beams with dual sections.

Keywords

Energy Functional, Buckling, Lateral, Beams, Uncoupled
User
Notifications

  • Akhaee MA, Sahraeian SME, Sankur B & Marvasti F (2009) Robust scaling-based image water marking using maximum-likelihood decoder with optimum strength factor. IEEE Trans. Multimedia. 11(5), 822–833.

  • Demanet L & Ying L (2007) Wave atoms and sparsity of oscillatory patterns. Appl. Comput. Harmon. Anal, 23,368.

  • Do MN & Vetterli M (2005) The contour let transform: An efficient directional multi resolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106.

  • Hsu CT & Wu JL (1998) Multiresolution water marking for digital images. IEEE Trans. Circuit Syst. 45(8) 1097–1101.

  • Jayalakshmi M, Merchant SN, & Desai UB (2006) Digital watermarking in contour let domain. In Proc. 18th Int. Conf. Pattern Recognition. 3, 861–864.

  • Hartz, BJ (1965) Matrix formulation of structural stability problems. J. Struct. Div. ASCE. 91(ST6): 141-157.

  • Attard, MM (1986) Lateral buckling analysis of beams by FEM. Computers and Structures, 21: 286-296.

  • Timoshenko, SP & Gere, JM (1961) Theory of Elastic Stability, McGraw-Hill, Inc., New York, NY.

  • Jiki, PN (2007). Buckling analysis of pre-cracked beamcolumns by Liapunov’s second method. European J. Mechanics. A /Solids. 26: 503-518.


Abstract Views: 322

PDF Views: 67




  • Uncoupled Lateral Buckling Energy Functional for Beams with Dual Symmetry

Abstract Views: 322  |  PDF Views: 67

Authors

P. N. Jiki
Civil Engineering Department, University of Agriculture Makurdi, Nigeria

Abstract


This paper is concerned with uncoupling the lateral buckling energy functional for thin walled beams of dual symmetric sections so that only one solution function would be used in the solution process without appreciable loss of accuracy. This is achieved by consideration of equilibrium of forces in the lateral buckling plane as well as equilibrium in the vertical plane, for the uncoupled equilibrium state. Examples are presented to show the validity of the proposed functional. Results of analysis using the proposed functional are compared with exact values in the literature and are within two percent (2 %) of the exact values. It is concluded that the proposed functional is suitable for use in the calculation of lateral buckling strengths for beams with dual sections.

Keywords


Energy Functional, Buckling, Lateral, Beams, Uncoupled

References