Closure to “Discussion of ‘Deformation and Moments in Elastically Restrained Circular Plates Under Arbitrary Load or Linear Thermal Gradient’” (1960, ASME J. Eng. Ind., 82, p. 438)

1960 ◽  
Vol 82 (4) ◽  
pp. 438-438
Author(s):  
M. Zaid ◽  
M. Forray
Keyword(s):  
Thermal Gradient ◽  
Circular Plates ◽  
Arbitrary Load ◽  
Elastically Restrained

Deformation and Moments in Elastically Restrained Circular Plates Under Arbitrary Load or Linear Thermal Gradient

1960 ◽  
Vol 82 (4) ◽  
pp. 423-438
Author(s):  
M. Zaid ◽  
M. Forray
Keyword(s):  
Thermal Gradient ◽  
Load Distribution ◽  
Loading Condition ◽  
Stress Pattern ◽  
Algebraic Equations ◽  
Circular Plates ◽  
Linear Temperature ◽  
Linear Temperature Gradient ◽  
Elastically Restrained ◽  
Elastic Constraints

The problem of a circular plate, with a central hole, elastically constrained against rotation and deflection, acted upon by a transverse linear temperature gradient or a general axisymmetrical loading condition is considered in this paper. With the aid of presented graphs and simple algebraic equations, it is a relatively simple matter to construct the desired deflection and stress pattern for any combination of elastic constraints and load distribution.

Optimum Elastic Restraint for Pressurised Circular Plates

1963 ◽  
Vol 67 (632) ◽  
pp. 525-526
Author(s):  
Charles W. Bert
Keyword(s):  
Effective Stress ◽  
Elastic Material ◽  
Unit Volume ◽  
List Type ◽  
Maximum Deflection ◽  
Type Number ◽  
Circular Plates ◽  
Uniform Thickness ◽  
Isotropic Elastic Material ◽  
Elastically Restrained

SummaryFor uniform-thickness, solid circular plates made of isotropic elastic material and elastically restrained at the edge, expressions are derived for the optimum support stiffness to minimise the following quantities: 1.The largest effective stress based on several different strength theories.2.The largest effective stress per unit of maximum deflection or per unit volume displaced.

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.

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