scholarly journals Discussion: “Bending of an Elastically Restrained Circular Plate Under Normal Loading Over a Sector” (Bassali, W. A., and Dawoud, R. H., 1958, ASME J. Appl. Mech., 25, pp. 37–46)

1958 ◽  
Vol 25 (4) ◽  
pp. 637-638
Author(s):  
Yi-Yuan Yu
Keyword(s):  
Circular Plate ◽  
Normal Loading ◽  
Elastically Restrained

Bending of an Elastically Restrained Circular Plate Under Normal Loading Over a Sector

1958 ◽  
Vol 25 (1) ◽  
pp. 37-46
Author(s):  
W. A. Bassali ◽  
R. H. Dawoud
Keyword(s):  
Boundary Condition ◽  
Circular Plate ◽  
Complex Variable ◽  
Variable Method ◽  
General Boundary Condition ◽  
Single Treatment ◽  
Normal Loading ◽  
Simply Supported ◽  
Thin Circular Plate ◽  
Elastically Restrained

Abstract The complex variable method is used to find the deflection, bending and twisting moments, and shearing forces at any point of a thin circular plate normally loaded over a sector and supported at its edge under a general boundary condition including the usual clamped and simply supported boundaries. In this way separate treatments for these two cases are avoided and a single treatment is available.

Stresses and Deflections in an Elastically Restrained Circular Plate Under Uniform Normal Loading Over a Segment

1959 ◽  
Vol 26 (1) ◽  
pp. 44-54
Author(s):  
W. A. Bassali ◽  
M. Nassif
Keyword(s):  
Circular Plate ◽  
Plate Theory ◽  
Exact Expression ◽  
Normal Loading ◽  
Complex Variable Methods ◽  
Deflection Plate ◽  
Small Deflection ◽  
In Series ◽  
Elastically Restrained ◽  
Elastic Constraint

Abstract Within the limits of the small-deflection plate theory and using complex variable methods, an exact expression is developed in series form for the solution of the problem of a thin circular plate elastically restrained along the boundary and subjected to uniform normal loading over a segment of the plate. The elastic constraint considered includes as particular cases the rigidly clamped and simply supported boundaries. For a rigidly clamped boundary the results are expressed in finite terms. Some details of calculations of deflections, moments, and shears based on the theory are provided in tables and curves. Timoshenko’s notation [1] is used in the paper. Other symbols will be defined as they appear in the text.

scholarly journals Analysis of sectorial plates normally loaded over circular domains. II

1984 ◽  
Vol 7 (4) ◽  
pp. 739-754
Author(s):  
Wadie A. Bassali
Keyword(s):  
Circular Domain ◽  
Method Of Images ◽  
Normal Loading ◽  
Simply Supported ◽  
Circular Domains ◽  
Elastically Restrained

The method of images is applied to derive exact expressions for the deflections of unlimited wedge-shaped plates the central parts of which are cut, when the plate is simply supported on the radial edges, elastically restrained or free along the circular edge and is acted upon by one of three types of normal loading distributed over the surface of a circular domain. Formulae for the bending and twisting moments along the circular edge are given. Limiting forms of the obtained solutions are considered.

Thermal Stress and Deflection Analysis of a Glass Window (Circular Plate) Elastically Restrained Along its Edge in a Photonic Device

2003 ◽  
Vol 125 (4) ◽  
pp. 602-608
Author(s):  
John H. Lau ◽  
Steve Erasmus ◽  
Yida Zou
Keyword(s):  
Thermal Stress ◽  
Circular Plate ◽  
Spring Constant ◽  
Engineering Practice ◽  
Thermal Coefficient ◽  
Circular Plates ◽  
Optical Coefficient ◽  
Deflection Analysis ◽  
Linear Spring ◽  
Elastically Restrained

An exact analysis is presented for the stresses and deflections of circular plates (glass windows) elastically restrained along its edge in a photonic device’s housing subjected to the pressure and temperature loadings. Dimensionless curves and charts are also provided for engineering practice convenience. These charts show the interactions of the deflection, stress, temperature, pressure, linear spring constant, rotational spring constant, geometry of the glass windows, and the Young’s modulus, Poisson’s ratio, thermal coefficient of expansion, geometry, stress-optical coefficient, and birefringence of glass materials. The results presented herein should be useful for designing glass windows for shipping, storing, handling, functioning, and reliability.

Problems concerning the bending of isotropic thin elastic plates subject to various distributions of normal pressures

1958 ◽  
Vol 54 (2) ◽  
pp. 265-287 ◽  
Author(s):  
W. A. Bassali ◽  
H. P. F. Swinnerton-Dyer
Keyword(s):  
Circular Plate ◽  
Plate Theory ◽  
Normal System ◽  
Free Boundaries ◽  
Elastic Plates ◽  
Normal Loading ◽  
Complex Variable Methods ◽  
Concentrated Forces ◽  
Special Case ◽  
Thin Elastic Plates

ABSTRACTWithin the limitations of the small-deflexion plate theory, complex variable methods are used in this paper to obtain an exact solution for the problem of a thin circular plate supported at several interior or boundary points, and subjected to a certain normal loading spread over the area of an eccentric circle, the boundary of the plate being free. The load considered includes as a special case a linearly varying load over the circle and, as the radius of the loaded circle tends to zero, this load can be made to tend to a couple nucleus at its centre. As limiting cases the procedure adopted provides us with solutions appropriate to a circular plate, an infinitely large plate and a half-plane having free boundaries and acted upon by any normal system of concentrated forces and concentrated couples in equilibrium. Formulae for the moments, shears and deflexions relating to special examples are worked out in detail.

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