Elasticas and buckling loads of shear deformable tapered columns with both hinged ends

2006 ◽  
Vol 10 (4) ◽  
pp. 275-281 ◽  
Author(s):  
Byoung Koo Lee ◽  
Suk Ki Km
Keyword(s):  
Buckling Loads ◽  
Tapered Columns ◽  
Shear Deformable

ELASTICAS AND BUCKLING LOADS OF SHEAR DEFORMABLE TAPERED COLUMNS

2005 ◽  
Vol 05 (03) ◽  
pp. 317-335 ◽  
Author(s):  
BYOUNG KOO LEE ◽  
ATHOL J. CARR ◽  
TAE EUN LEE ◽  
DAE SOON AHN
Keyword(s):  
Differential Equations ◽  
Shear Deformation ◽  
Experimental Studies ◽  
Nonlinear Analyses ◽  
Buckling Loads ◽  
Nonlinear Responses ◽  
Geometrical Nonlinear ◽  
Tapered Columns ◽  
Shear Deformable ◽  
Theoretical Results

This paper deals with the geometrical nonlinear analyses of buckled columns. Differential equations governing the elasticas of buckled columns are derived, in which both the effects of taper type and shear deformation are included. Three kinds of taper types are considered, i.e. breadth, depth and square tapers. Differential equations are solved numerically to obtain the deflection of elasticas and the buckling loads of such columns. Both clamped ends and hinged ends are considered. The effects of shear deformation on the deflection of elasticas of buckled columns and on the buckling loads of columns are investigated extensively. The buckling load equations for uniform columns are expressed as a function of the implicit shear effect. Experimental studies are presented that complement the theoretical results of nonlinear responses of the elasticas.

Buckling loads of linearly tapered columns laterally restrained by multiple elastic springs

2003 ◽  
Vol 7 (3) ◽  
pp. 305-311 ◽  
Author(s):  
Byoung Koo Lee ◽  
Guangfan Li ◽  
Suk Ki Kim ◽  
Dae Soon Ahn
Keyword(s):  
Buckling Loads ◽  
Tapered Columns

Critical Buckling Loads for Tapered Columns

1963 ◽  
Vol 128 (2) ◽  
pp. 736-746
Author(s):  
James M. Gere ◽  
Winifred O. Carter
Keyword(s):  
Buckling Loads ◽  
Tapered Columns

Closure to “Critical Buckling Loads for Tapered Columns”

1963 ◽  
Vol 89 (2) ◽  
pp. 223-224
Author(s):  
James M. Gere ◽  
Winfred O. Carter
Keyword(s):  
Buckling Loads ◽  
Tapered Columns

Discussion of “Critical Buckling Loads for Tapered Columns”

1962 ◽  
Vol 88 (3) ◽  
pp. 343-345
Author(s):  
Larry A. Colbert
Keyword(s):  
Buckling Loads ◽  
Tapered Columns

Elastica of shear-deformable tapered columns

2002 ◽  
Vol 6 (2) ◽  
pp. 135-141 ◽  
Author(s):  
Byoung Koo Lee ◽  
Kou Moon Choi ◽  
Tae Eun Lee ◽  
Young Il Kim
Keyword(s):  
Tapered Columns ◽  
Shear Deformable

Discussion of “Critical Buckling Loads for Tapered Columns”

1962 ◽  
Vol 88 (5) ◽  
pp. 185-186
Author(s):  
Donald J. Butler
Keyword(s):  
Buckling Loads ◽  
Tapered Columns

Nonlinear Analysis of Transverse Shear Deformable Laminated Composite Cylindrical Shells—Part II: Buckling of Axially Compressed Cross-Ply Circular and Oval Cylinders

1992 ◽  
Vol 114 (1) ◽  
pp. 110-114 ◽  
Author(s):  
K. P. Soldatos
Keyword(s):  
Transverse Shear ◽  
Shell Theory ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
Companion Paper ◽  
Buckling Loads ◽  
Simply Supported ◽  
Laminated Composite Shells ◽  
Shear Deformable ◽  
Oval Cylindrical Shells

A linearized transverse shear deformable shell theory presented in a companion paper is confined to consideration with the buckling problem of axially compressed, cross-ply laminated noncircular cylindrical shells. Based on a solution of its governing differential equations, obtained for simply supported shells by means of Galerkin’s method, a study of the buckling problem of axially compressed circular and oval cylindrical shells, of a regular antisymmetric cross-ply laminated arrangement, is presented. Moreover, by comparing the numerical results obtained with corresponding results based on a classical Love-type shell theory, the combined influence of both the transverse shear deformation and the shell eccentricity on the buckling loads of such laminated composite shells is examined.

Critical Buckling Loads for Tapered Columns

1962 ◽  
Vol 88 (1) ◽  
pp. 1-12
Author(s):  
James M. Gere ◽  
Winfred O. Carter
Keyword(s):  
Buckling Loads ◽  
Tapered Columns
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