Buckling Analysis of Rectangular Plates under the Combined Action of Shear and Uniaxial Stresses
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:49265", author = "V. Piscopo", title = "Buckling Analysis of Rectangular Plates under the Combined Action of Shear and Uniaxial Stresses", 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.", volume = "4", number = "10", pages = "920-8", }