Numerical design prediction of the capacity of plates in biaxial in-plane compression

Abstract The present paper shows some examples of the generation of design data for plates by numerical experiments using non-linear shell analysis programs. A new simple design formula for the ultimate strength of simply supported plates in transverse compression is proposed. Further, a parametric study of plates with aspect ratio 3 subject to biaxial compression is performed. Compared to the presently used interaction formula proposed by Faulkner[8] a less conservative formula is suggested. The effect of altrenative loading sequences is investigated, concluding that biaxial design formulas have to be based on proportional incrementation of longitudinal and transverse loads. The general form of the interaction formula is also correlated to available design data for square plates [31]. A design code formulation covering plate aspect and slenderness ratios of most ship and offshore structures is then proposed.

[1]  D. Faulkner,et al.  Synthesis of welded grillages to withstand compression and normal loads , 1973 .

[2]  C. S. Smith.  Compressive Strength of Welded Steel Ship Grillages , 1975 .

[3]  R. Melosh.  BASIS FOR DERIVATION OF MATRICES FOR THE DIRECT STIFFNESS METHOD , 1963 .

[4]  H Becker,et al.  COMPRESSIVE STRENGTH OF SHIP HULL GIRDERS--PART III--THEORY AND ADDITIONAL EXPERIMENTS , 1977 .

[5]  A. B. Stavovy,et al.  ULTIMATE LONGITUDINAL STRENGTH , 1970 .

[6]  J. H. Argyris,et al.  Energy theorems and structural analysis , 1960 .

[7]  H. Becker,et al.  COMPRESSIVE STRENGTH OF SHIP HULL GIRDERS. PART I. UNSTIFFENED PLATES , 1970 .

[8]  C A Carlsen,et al.  THE SPECIFICATION OF POST-WELDING DISTORTION TOLERANCES FOR STIFFENED PLATES IN COMPRESSION , 1978 .

[9]  Tore H. Søreide,et al.  Collapse behavior of stiffened plates using alternative finite element formulations , 1977 .

[10]  C A Carlsen.  A PARAMETRIC STUDY OF COLLAPSE OF STIFFENED PLATES IN COMPRESSION , 1980 .

[11]  Y. Ueda,et al.  Effects of Welding Residual Stresses and Initial Deflection on Rigidity and Strength of Square Plates Subjected to Compression (Report II) , 1975 .

[12]  M. Turner.  Stiffness and Deflection Analysis of Complex Structures , 1956 .

[13]  O. Zienkiewicz.  The Finite Element Method In Engineering Science , 1971 .

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

[15]  D. Faulkner.  A REVIEW OF EFFECTIVE PLATING TO BE USED IN THE ANALYSIS OF STIFFENED PLATING IN BENDING AND COMPRESSION , 1973 .

[16]  M. Crisfield.  FULL-RANGE ANALYSIS OF STEEL PLATES AND STIFFENED PLATING UNDER UNIAXIAL COMPRESSION , 1975 .

[17]  Abdur Razzaque,et al.  Program for triangular bending elements with derivative smoothing , 1973 .