Research on elastic buckling of columns, beam and plates: Focussing on formulas and design charts

Although there are many numerical methods which may be used to evaluate critical elastic design parameters accurately, designers still prefer to sacrifice accuracy for simplicity. Approximate formulas or design charts from handbooks and standard texts are used, or conservative assumptions are made to simplify the problem so as to justify their use. Until powerful, user-friendly and inexpensive software becomes readily available to designers, approximate formulas and design charts continue to be used. In recent years, collaborative work between the authors and their research associates has yielded a number of approximate buckling formulas and design charts for critical loads for columns, beams and plates. A review of these research investigations is presented herein, together with some of the newly developed buckling formulas and design charts.

[1]  K. M. Liew,et al.  Buckling of Columns with Overhang , 1991 .

[2]  K. M. Liew,et al.  Buckling of Skew Plates and Corner Condition for Simply Supported Edges , 1992 .

[3]  Z. Bažant,et al.  Stability Of Structures , 1991 .

[4]  S. Timoshenko Theory of Elastic Stability , 1936 .

[5]  Bruce G. Johnston,et al.  Behavior of Laced and Battened Structural Members , 1970 .

[6]  K. M. Liew,et al.  Buckling of triangular plates under uniform compression , 1994 .

[7]  R. Grammel,et al.  Die Knickung von Schraubenfedern , 1924 .

[8]  Engesser Fr.,et al.  Die Knickfestigkeit gerader Stäbe , 1891 .

[9]  K. M. Liew,et al.  Elastic Buckling of Rectangular Plates with Curved Internal Supports , 1992 .

[10]  P. S. Bulson,et al.  The stability of flat plates , 1969 .

[11]  Yang Xiang,et al.  Buckling of Restrained Columns with Shear Deformation and Axial Shortening , 1990 .

[12]  Chien Ming Wang,et al.  Lateral buckling of tee beams under moment gradient , 1986 .

[13]  Sritawat Kitipornchai,et al.  Flexural-torsional buckling of monosymmetric beam-columns/tie-beams , 1988 .

[14]  Sritawat Kitipornchai,et al.  OUT-OF-PLANE BUCKLING FORMULAS FOR BEAM-COLUMNS/TIE-BEAMS , 1988 .

[15]  Chien Ming Wang,et al.  BUCKLING CAPACITIES OF MONOSYMMETRIC I-BEAMS , 1986 .

[16]  Chien Ming Wang,et al.  Parametric study on distortional buckling of monosymmetric beam-columns , 1991 .

[17]  Nicholas S. Trahair,et al.  The behaviour and design of steel structures , 1977 .

[18]  Theodore V. Galambos Inelastic Lateral Buckling of Beams , 1963 .

[19]  Chien Ming Wang,et al.  Shear‐Flexural Buckling of Columns , 1990 .

[20]  Nicholas S. Trahair,et al.  Buckling of monosymmetric I beams under moment gradient , 1986 .

[21]  C. Y. Wang Approximate Formulas for Buckling of Heavy Column with End Load , 1987 .

[22]  Sritawat Kitipornchai,et al.  Column buckling under general loads with allowances for pre-buckling shortening and shear deformation , 1992 .

[23]  Sritawat Kitipornchai,et al.  Optimal Designs of I‐Beams against Lateral Buckling , 1990 .

[24]  Sritawat Kitipornchai,et al.  Buckling of braced monosymmetric cantilevers , 1987 .

[25]  Yang Xiang,et al.  Buckling of thick skew plates , 1993 .

[26]  Yang Xiang,et al.  Closure of "Stability of Skew Mindlin Plates under Isotropic In-Plane Pressure" , 1993 .

[27]  Faris Albermani,et al.  Buckling of columns: Allowance for axial shortening , 1991 .

[28]  Kok Lay Teo,et al.  Optimal design of tapered beams for maximum buckling strength , 1986 .

[29]  Yang Xiang,et al.  Mindlin plate buckling with prebuckling in-plane deformation , 1993 .

[30]  J. A. Haringx On highly compressible helical springs and rubber rods, and their application for vibration-free mountings , 1950 .

[31]  Yang Xiang,et al.  Axisymmetric Buckling of Circular Mindlin Plates with Ring Supports , 1993 .

[32]  K. Liew,et al.  Buckling of rectangular mindlin plates with internal line supports , 1993 .

[33]  C. Y. Wang Buckling and Postbuckling of Heavy Columns , 1987 .

[34]  K. K. Ang,et al.  Buckling capacities of braced heavy columns under an axial load , 1988 .

[35]  Chien Ming Wang,et al.  Elastic Stability of Heavy Rotating Columns , 1990 .

[36]  Chien Ming Wang,et al.  New set of buckling parameters for monosymmetric beam columns/ tie beams , 1989 .

[37]  B. Drachman,et al.  Stability of a Heavy Column With an End Load , 1981 .

[38]  Chien Ming Wang,et al.  Buckling of elliptical plates under uniform pressure , 1993 .

[39]  H. Ziegler,et al.  Arguments for and against Engesser's buckling formulas , 1982 .

[40]  Yang Xiang,et al.  Buckling of triangular Mindlin plates under isotropic inplane compression , 1994 .

[41]  Sritawat Kitipornchai,et al.  On stability of monosymmetric cantilevers , 1986 .