SECOND-ORDER ELASTIC ANALYSIS OF FRAMES USING SINGLE IMPERFECT ELEMENT PER MEMBER

In practical stability design and analysis of steel members and structures, one must allow for member imperfection. Various national design codes impose different values of initial imperfection for member-strength determination, such as 0.001 of the member length in the 1986 Load and Resistance Factor Design Specification for Structural Steel Buildings . This paper presents a new method of including the effects of initial imperfection in the element stiffness without needing to adopt a curved-element formulation, which is deficient for members under high axial load, or to divide a member into two or more straight elements in order to simulate member imperfection. A very considerable savings and convenience in data-manipulation effort and computer time can be achieved when using the proposed element.

[1]  Z. M. Elias,et al.  Nonlinear Shallow Curved‐Beam Finite Element , 1988 .

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

[3]  Siu Lai Chan,et al.  A Generalized Numerical Procedure for Nonlinear Analysis of Frames Exhibiting a Limit or a Bifurcation Point , 1991 .

[4]  Satya N. Atluri,et al.  A simplified finite element method for large deformation, post‐buckling analyses of large frame structures, using explicitly derived tangent stiffness matrices , 1986 .

[5]  Sritawat Kitipornchai,et al.  Geometric nonlinear analysis of asymmetric thin-walled beam-columns , 1987 .

[6]  Siu-Lai Chan Geometric and material non‐linear analysis of beam‐columns and frames using the minimum residual displacement method , 1988 .

[7]  Robert K. Wen,et al.  Curved Beam Element for Arch Buckling Analysis , 1981 .

[8]  Faris Albermani,et al.  Nonlinear Analysis of Thin‐Walled Structures Using Least Element/Member , 1990 .

[9]  James M. Gere,et al.  Analysis of framed structures , 1965 .

[10]  Donald W. White,et al.  Plastic-Hinge methods for advanced analysis of steel frames , 1993 .

[11]  Bambang Suhendro,et al.  NONLINEAR CURVED-BEAM ELEMENT FOR ARCH STRUCTURES , 1991 .

[12]  Zhi Hua Zhou,et al.  Pointwise Equilibrating Polynomial Element for Nonlinear Analysis of Frames , 1994 .

[13]  Chin-Jen Chen,et al.  Torsional analysis of shear core structures with openings , 1991 .

[14]  Timothy J. Ross,et al.  Elastic Buckling of Arches under Symmetrical Loading , 1976 .

[15]  Andrew Kwok Wai So,et al.  Buckling and geometrically nonlinear analysis of frames using one element/member , 1991 .

[16]  Siu-Lai Chan,et al.  Self-Equilibrating Element for Second-Order Analysis of Semirigid Jointed Frames , 1995 .

[17]  W. M. G. Ho,et al.  Closure of "Semibifurcation and Bifurcation Analysis of Flexibly Connected Steel Frames" , 1991 .