Erratum: “Discussion of ‘Bending of a Thin Cylindrical Shell Subjected to a Line Load Around a Circumference’” (Journal of Applied Mechanics, 1962, 29, pp. 592–593)

1962 ◽  
Vol 29 (4) ◽  
pp. 766-766
Author(s):  
James Sheng
Keyword(s):  
Cylindrical Shell ◽  
Applied Mechanics ◽  
Thin Cylindrical Shell ◽  
Line Load

Bending of a Thin Cylindrical Shell Subjected to a Line Load Around a Circumference

1961 ◽  
Vol 28 (3) ◽  
pp. 427-433 ◽  
Author(s):  
H. R. Meck
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Thin Cylindrical Shell ◽  
Radial Line ◽  
Eighth Order ◽  
Line Load ◽  
Bending Stresses ◽  
Center Section ◽  
Fourth Order Equations ◽  
Thin Shell Theory

An analysis is developed for bending of a thin circular cylindrical shell under a varying radial line load distributed around the circumference at the center section. The problem is solved by reducing the eighth-order differential equation of thin-shell theory to two approximate fourth-order equations. Deflections, bending stresses, and membrane stresses are evaluated. Both simply supported and clamped ends are considered.

Cylindrical Shells Under Line Load

1957 ◽  
Vol 24 (4) ◽  
pp. 553-558
Author(s):  
R. M. Cooper
Keyword(s):  
Cylindrical Shell ◽  
Radial Displacement ◽  
Circular Cylindrical Shell ◽  
Transverse Shear Deformation ◽  
System Of Equations ◽  
Principle Of Superposition ◽  
Line Load ◽  
Simply Supported ◽  
Shell Equations ◽  
Shell Geometry

Abstract The problem of a line load along a segment of a generator of a simply supported circular cylindrical shell is treated using shallow cylindrical shell equations which include the effect of transverse-shear deformation. The line load is first treated as a sinusoidally-varying edge load over the length of the shell, with boundary conditions prescribed along the loaded generator such that the continuity of the shell is maintained. The solution for the problem of a uniform line load over a segment of a generator is obtained from the preceding solution, using the principle of superposition. By means of a numerical example it is shown that the results predicted by the Donnell equations for the stresses are in excellent agreement with those obtained from the system of equations employed here. However, the radial displacement predicted by the Donnell equations is in error by as much as 20 per cent in the range of shell geometry considered.

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