DR large deflection analysis of orthotropic mindlin plates with simply-supported and clamped-edge conditions

1991 ◽  
Vol 1 (4) ◽  
pp. 235-248 ◽  
Author(s):  
G.J. Turvey ◽  
M.Y. Osman
Keyword(s):  
Large Deflection ◽  
Simply Supported ◽  
Edge Conditions ◽  
Deflection Analysis ◽  
Clamped Edge

Large Deflection Analysis for a Plate Strip Subjected to Normal Pressure and Heating

1955 ◽  
Vol 22 (4) ◽  
pp. 458-464
Author(s):  
M. L. Williams
Keyword(s):  
Large Deflection ◽  
Normal Pressure ◽  
Simple Relation ◽  
Infinite Strip ◽  
Uniform Temperature ◽  
Temperature Variations ◽  
Simply Supported ◽  
Edge Conditions ◽  
Deflection Analysis ◽  
Plate Strip

Abstract Large deflection analysis is carried out to determine the deflections and membrane stresses for an infinite strip when subjected to pressure and temperature variations across the width of the strip with the end points fixed in space. Results are graphed for both clamped and simply supported edge conditions in the case of uniform temperature T0, and uniform pressure p0. The calculations also include the possible thermal buckling deflections. In the limit case of a membrane of width b and thickness h, subjected to this loading condition, the central deflection w0 is determined from the simple relation [ ( w 0 / h ) 2 - 3 8 ( 1 + ν ) ( b / h ) 2 α T 0 ] ( w 0 / h ) = p 0 b 4 / ( 256 D h )

Application of large-deflection theory to normally loaded rectangular plates with clamped edges

1970 ◽  
Vol 5 (2) ◽  
pp. 140-144 ◽  
Author(s):  
A Scholes
Keyword(s):  
Large Deflection ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Aspect Ratios ◽  
Non Linear ◽  
Deflection Theory ◽  
Large Deflection Theory ◽  
Clamped Edges ◽  
Clamped Edge ◽  
Good Agreement

A previous paper (1)∗described an analysis for plates that made use of non-linear large-deflection theory. The results of the analysis were compared with measurements of deflections and stresses in simply supported rectangular plates. In this paper the analysis has been used to calculate the stresses and deflections for clamped-edge plates and these have been compared with measurements made on plates of various aspect ratios. Good agreement has been obtained for the maximum values of these stresses and deflections. These maximum values have been plotted in such a form as to be easily usable by the designer of pressure-loaded clamped-edge rectangular plates.

Shear Buckling of Clamped and Simply-Supported Infinitely Long Plates Reinforced by Transverse Stiffeners and a Central Longitudinal Stiffener

1962 ◽  
Vol 13 (2) ◽  
pp. 95-114 ◽  
Author(s):  
K. C. Rockey ◽  
I. T. Cook
Keyword(s):  
Shear Stress ◽  
Flexural Rigidity ◽  
Numerical Results ◽  
Simply Supported ◽  
Longitudinal Stiffener ◽  
Buckling Stress ◽  
Longitudinal Stiffeners ◽  
Edge Conditions ◽  
Shear Buckling ◽  
Clamped Edge

SummaryThe paper presents a solution to the buckling under shear stress of infinitely long plates which are reinforced by both transverse stiffeners and longitudinal stiffeners. Each family of stiffeners is assumed to consist of equally spaced stiffeners. Both simply-supported and clamped edge conditions are examined. Numerical results are obtained for the case of a plate with transverse stiffeners and a central longitudinal stiffener and relationships between the buckling stress and the flexural rigidity parameters of the stiffeners are provided for three different spacings of the transverse stiffeners.

Buckling of Circular Plate on Elastic Foundation

1965 ◽  
Vol 87 (3) ◽  
pp. 323-324 ◽  
Author(s):  
L. V. Kline ◽  
J. O. Hancock
Keyword(s):  
Circular Plate ◽  
Middle Surface ◽  
Elastic Plates ◽  
Buckling Loads ◽  
Simply Supported ◽  
Small Deflection ◽  
Edge Conditions ◽  
Deflection Theory ◽  
Plate On Elastic Foundation ◽  
Clamped Edge

The buckling loads are found for the simply supported and clamped-edge conditions for a circular plate on a springy foundation under the action of edge loading in the middle surface of the plate. The small deflection theory of bending of thin elastic plates has been used.

Bending of Elastically Restrained Rectangular Plates Under Uniform Pressure

1958 ◽  
Vol 62 (575) ◽  
pp. 834-836 ◽  
Author(s):  
C. Lakshmi Kantham
Keyword(s):  
Natural Frequencies ◽  
Unit Length ◽  
Rectangular Plates ◽  
Uniform Pressure ◽  
Simply Supported ◽  
Edge Conditions ◽  
Definition Of ◽  
Elastically Restrained ◽  
Clamped Edges ◽  
Clamped Edge

In the bending and vibration of plates it is found that the values of maximum deflection and natural frequencies, respectively, vary considerably from the simply-supported to clamped edge conditions. For an estimation of these characteristics in the intermediate range a generalised boundary condition may be assumed, of which the simply-supported and clamped edges become limiting cases. While Bassali considers the ratio of edge moment to the cross-wise moment as a constant, Newmark, Lurie and Klein and other investigators, in their analyses of various structures, consider that moment and slope at an end are proportional.Here the definition of elastic restraint as given by Timoshenko, α=βM, is followed, where α is the slope at any edge, M the corresponding edge moment per unit length while β is the elastic restraint factor. β→0 and β→∞ represent the two limiting cases of simply-supported and clamped edge conditions.

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