Buckling of Rectangular Plates With Two Unsupported Edges

1957 ◽  
Vol 24 (4) ◽  
pp. 537-540
Author(s):  
P. Shuleshko
Keyword(s):  
Elastic Stability ◽  
Rectangular Plates ◽  
Simply Supported

Abstract In this paper the elastic stability of rectangular plates compressed in two perpendicular directions by forces uniformly distributed along the edges is considered. Edges x = 0, and x = a are simply supported, edges y = ±b/2 are unsupported (Fig. 2a). The nondimensional coefficient k = Pa2/π2D for various ratios b/a and ν = P1/P2 (0 ≤ ν ≤ ∞) is tabulated and corresponding graphs are presented.

Buckling of Rectangular Plates with One Unsupported Edge, Compressed by Forces Distributed Along its Edges

1956 ◽  
Vol 60 (547) ◽  
pp. 488-489
Author(s):  
P. Shuleshko
Keyword(s):  
Boundary Conditions ◽  
Elastic Stability ◽  
Transcendental Equation ◽  
Rectangular Plates ◽  
Simply Supported

The elastic stability of rectangular plates compressed in two perpendicular directions by forces uniformly distributed along the edges is considered. Edges x = 0 and x = a are simply supported, edge y = 0 is free and edge y = b is rigidly built-in (Fig. 1). Using the method described in a previous paper, after satisfying the boundary conditions at the edges of plate, the following transcendental equation is obtained:

Deformation of Rectangular Slender Webplates with Boundary Members Flexible in the Webplate Plane

1966 ◽  
Vol 17 (4) ◽  
pp. 371-394 ◽  
Author(s):  
J. Djubek
Keyword(s):  
Linear Problem ◽  
Numerical Results ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Non Linear

SummaryThe paper presents a solution of the non-linear problem of the deformation of slender rectangular plates which are stiffened along their edges by elastically compressible stiffeners flexible in the plane of the plate. The webplate is assumed to be simply-supported along its contour. Numerical results showing the effect of flexural and normal rigidity of stiffeners are given for a square webplate loaded by shear and compression.

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