Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30184
Buckling Analysis of Rectangular Plates under the Combined Action of Shear and Uniaxial Stresses

Authors: V. Piscopo

Abstract:

In the classical buckling analysis of rectangular plates subjected to the concurrent action of shear and uniaxial forces, the Euler shear buckling stress is generally evaluated separately, so that no influence on the shear buckling coefficient, due to the in-plane tensile or compressive forces, is taken into account. In this paper the buckling problem of simply supported rectangular plates, under the combined action of shear and uniaxial forces, is discussed from the beginning, in order to obtain new project formulas for the shear buckling coefficient that take into account the presence of uniaxial forces. Furthermore, as the classical expression of the shear buckling coefficient for simply supported rectangular plates is considered only a “rough" approximation, as the exact one is defined by a system of intersecting curves, the convergence and the goodness of the classical solution are analyzed, too. Finally, as the problem of the Euler shear buckling stress evaluation is a very important topic for a variety of structures, (e.g. ship ones), two numerical applications are carried out, in order to highlight the role of the uniaxial stresses on the plating scantling procedures and the goodness of the proposed formulas.

Keywords: Buckling analysis, Shear, Uniaxial Stresses.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1327730

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2503

References:


[1] S. Timoshenko, J. Gere, Theory of Elastic Stability, McGraw-Hill International Book Company, 17th edition, 1985.
[2] M. Stein, J. Neff, NACA Tech. Note 1222,1947.
[3] S. Bergmann. H. Reissner, Z. Flugtech. Motorluftsch.,Vol. 23, p.6, 1932.
[4] R.V. Southwell, Phil. Mag., Vol. 4, p. 540, 1924.
[5] A.D. Polyanin, Linear partial differential equations for Engineers and Scientists, CHAPMAN & HALL/CRC, 2002.
[6] O. Hughes, Ship Structural Design: a Rationally-Based Computer-Aided Optimization Approach, SNAME Edition, 1988.
[7] R. Fiorenza, Appunti delle lezioni di analisi funzionale, Gli strumenti di Coinor, 2005.
[8] H. Wagner, "Uber Konstruktion-und Berechnungs-fragen des Blechbaues", Jb. Wiss. Gess. Luftf., 1928, pp.113-124.