Nonlinear Unsymmetrical Bending of an Annular Plate

1968 ◽  
Vol 35 (1) ◽  
pp. 190-192 ◽  
Author(s):  
W. E. Alzheimer ◽  
R. T. Davis
Keyword(s):  
Annular Plate ◽  
Nonlinear Unsymmetrical Bending

Study of the Influence of Annular Plate Size on the Stress-Strain State of a Vertical Steel Tank

2021 ◽  
Author(s):  
A. E. Lebedev ◽  
A. B. Kapranova ◽  
I. S. Gudanov ◽  
D. S. Dolgin ◽  
A. A. Vatagin
Keyword(s):  
Strain State ◽  
Annular Plate ◽  
Stress Strain ◽  
Stress Strain State ◽  
Plate Size ◽  
Steel Tank

scholarly journals The elastic stability of an annular plate

1924 ◽  
Vol 106 (737) ◽  
pp. 268-284 ◽  
Keyword(s):  
Annular Plate ◽  
Practical Interest ◽  
Middle Surface ◽  
Elastic Stability ◽  
Thin Plates ◽  
Thin Shells ◽  
Stability Equation ◽  
Inner Radius ◽  
Plane Plate ◽  
The Stability

1. Introduction and Summary. —This paper deals with the elastic stability of a circular annular plate under uniform shearing forces applied at its edges. Investigations of the stability of plane plates are altogether simpler than those necessary in the case of curved plates or shells. In the first place, as shown by Mr. R. V. Southwell, two of the three equations of stability relate to a mode of instability that is not of practical interest, and are entirely independent of the third equation which gives the ordinary mode of instability resulting in the familiar bending of the middle surface of the plate. Consequently with a plane plate there is only one equation of stability to be solved, as contrasted with the case of a shell where the three equations are dependent, and must all be solved. In the second place the theory of thin shells can be used with confidence in a plane plate problem, though a more laborious procedure is necessary to deal adequately with a shell. The only stability equation required for the annular plate is therefore deduced without trouble from the theory of thin shells, and its solution presents no difficulty in the case of uniform shearing forces. A numerical discussion is given of the stability of the plate under such forces, the “favourite type of distortion” and the stess that will produce it being obtained for plates with clamped edges in wich the ratio of the outer to the inner radius exceeds 3·2. To some extent to results have been checked by experiment, in which part of the work the viter is indebted to Prof. G. I. Taylor for his valuable help and advice. Distrtion of the type predicted by the theory took place in the two thin plates of rober different ratio of radii, which were used. The disposition of the loci of points which undergo maximum normal displace nt gives some idea of the appearance of the plate after distortion has taken pce. The points have been calculated for a plate in which the ratio of radii 4·18, and the loci are shown on a diagram, which may be compared with a potograph of a distorted plate in which this ratio is 4·3. The ratio of normal dplacements of points of the plate can be seen from contours drawn on the ne diagram. (See pp. 280, 281.)

scholarly journals Bending of an incomplete annular plate and related problems

1979 ◽  
Vol 14 (3) ◽  
pp. 103-109 ◽  
Author(s):  
J R Barber
Keyword(s):  
Stress Concentration ◽  
Closed Form ◽  
Circular Plate ◽  
Annular Plate ◽  
Infinite Plate ◽  
Concentration Data ◽  
Closed Form Solutions ◽  
Concentrated Forces

Closed-form solutions and stress-concentration data are obtained for the problem of a sector of an annular plate subjected to moments and transverse forces on its radial edges. Closed-form solutions are also given for a semi-infinite plate or a circular plate subjected to a system of concentrated forces and/or moments at the edge.

Clamped annular plate under a concentrated force.

AIAA Journal ◽  
1969 ◽  
Vol 7 (1) ◽  
pp. 151-153 ◽  
Author(s):  
RENE AMON ◽  
O. E. WIDERA
Keyword(s):  
Annular Plate ◽  
Concentrated Force

Heat transfer at the step of a CANDU calandria during a severe accident

Kerntechnik ◽  
2021 ◽  
Vol 86 (5) ◽  
pp. 338-342
Author(s):  
R. David
Keyword(s):  
Heat Transfer ◽  
Finite Element Analysis ◽  
Heat Flux ◽  
Annular Plate ◽  
Welded Joint ◽  
Severe Accident ◽  
Local Concentration ◽  
Element Analysis ◽  
Surrounding Water ◽  
Decay Heat

Abstract During the in-vessel stage of a severe accident in a CANDU 6 reactor, decay heat from a collapsed core would be rejected through the calandria walls into the surrounding water. At the step in the calandria wall, the subshell and annular plate meet at a right angle pointing into the calandria. The geometry at this joint could concentrate the exiting heat flux, potentially leading to calandria failure. Finite element analysis is used to study the heat transfer near the welded joint. Different weld profiles, boundary conditions, and decay heat characteristics are considered, and the local concentration of exiting heat flux is calculated.

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