The effect of transverse shear deformation on stress concentration factors for shallow shells with a small circular hole

1991 ◽  
Vol 12 (2) ◽  
pp. 211-218 ◽  
Author(s):  
Loo Wen-da ◽  
Cheng Yao-shun
Keyword(s):  
Stress Concentration ◽  
Shear Deformation ◽  
Circular Hole ◽  
Transverse Shear ◽  
Transverse Shear Deformation ◽  
Shallow Shells ◽  
Concentration Factors ◽  
Stress Concentration Factors

Theoretical Stresses Near a Circular Opening in a Flat Plate, Reinforced With a Cylindrical Outlet

1959 ◽  
Vol 81 (2) ◽  
pp. 189-200 ◽  
Author(s):  
Everett O. Waters
Keyword(s):  
Stress Concentration ◽  
Flat Plate ◽  
Circular Hole ◽  
Wall Thickness ◽  
Plate Thickness ◽  
Pressure Vessels ◽  
Circular Opening ◽  
Concentration Factors ◽  
Stress Concentration Factors

Formulas are derived for stresses in the neighborhood of a circular hole in a flat plate, when the opening is reinforced with a cylindrical outlet such as a pipe or nozzle. The plate is loaded in tension, either uniformly in all directions, or with transverse and longitudinal tensions in the ratio of 2:1 as is the case in cylindrical pressure vessels. Consideration is given to the possibility of “balanced reinforcement” by adding material on both sides of the plate. Tables and graphs are included for the use of designers who wish to find the stress-concentration factors for different combinations of plate thickness, outlet-wall thickness, and outlet diameter.

On the Effect of Transverse Shear Deformability on Stress Concentration Factors for Twisted and Sheared Shallow Spherical Shells

1986 ◽  
Vol 53 (3) ◽  
pp. 597-601 ◽  
Author(s):  
E. Reissner ◽  
F. Y. M. Wan
Keyword(s):  
Stress Concentration ◽  
Transverse Shear ◽  
Shell Theory ◽  
Bessel Functions ◽  
Plate Theory ◽  
Modified Bessel Functions ◽  
Spherical Shells ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Shear Deformable

Explicit solutions are obtained, in terms of modified Bessel functions, for the problems of transverse twisting and of tangential shearing of transversely shear-deformable shallow spherical shells with a small circular hole. The relevant stress concentration factors are calculated for the entire range of a rise-to-thickness ratio parameter and a transverse shear deformability parameter. The modification of known results obtained previously by shear deformable plate theory, and by shallow shell theory without consideration of transverse shear deformation effects, is delineated.

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