An advanced analysis method for three-dimensional steel frames with semi-rigid connections

This paper presents an advanced analysis method for three-dimensional semi-rigid steel frames accounting for three main nonlinear sources. The second-order effects are considered by the use of stability functions obtained from the solution of beam-columns under axial force and bending moments at two ends. The spread of plasticity over the cross section and along the member length is captured by monitoring the uniaxial stress-strain relation of each fiber on selected sections. The nonlinear semi-rigid beam-to-column connection is simulated by a 3D multi-spring element. The generalized displacement control method is applied to solve the nonlinear equilibrium equations in an incremental-iterative scheme. The nonlinear load-displacement responses and ultimate load results compare well with those of previous studies. It is concluded that using only one element per member with monitoring the end sections accurately likely predict the nonlinear responses of three-dimensional semi-rigid steel frames.

[1]  David Edwin Hormby.  Design of single plate framing connections , 1981 .

[2]  Seung-Eock Kim,et al.  Practical Advanced Analysis for Unbraced Steel Frame Design , 1996 .

[3]  H. Michels,et al.  Abscissas and weight coefficients for Lobatto quadrature , 1963 .

[4]  Cuong Ngo-Huu,et al.  Practical advanced analysis of space steel frames using fiber hinge method , 2009 .

[5]  Se-Hyu Choi,et al.  Practical advanced analysis for semi-rigid space frames , 2001 .

[6]  William McGuire,et al.  Modified Tangent Modulus Approach, A Contribution to Plastic Hinge Analysis , 2002 .

[7]  N. Kishi,et al.  Semirigid Steel Beam‐to‐Column Connections: Data Base and Modeling , 1989 .

[8]  Seung-Eock Kim,et al.  Design guide for steel frames using advanced analysis program , 1999 .

[9]  Huu-Tai Thai,et al.  Nonlinear inelastic analysis of space frames , 2011 .

[10]  Yeong-bin Yang,et al.  Solution method for nonlinear problems with multiple critical points , 1990 .

[11]  Hong Chen,et al.  Spread-of-plasticity analysis of three-dimensional steel frames , 2002 .

[12]  Murray J. Clarke,et al.  Plastic-zone analysis of 3D steel frames using beam elements , 1999 .

[13]  Ji Chen.  Practical advanced analysis for semi-rigid frame design , 2005 .

[14]  Wai-Fah Chen,et al.  Analysis and behaviour of flexibly-jointed frames , 1986 .

[15]  Christopher M. Foley,et al.  Inelastic Behavior of Multistory Partially Restrained Steel Frames. Part II , 1999 .

[16]  Seung-Eock Kim,et al.  LRFD Steel Design Using Advanced Analysis , 1997 .

[17]  Wai Fah Chen,et al.  Advanced analysis for structural steel building design , 2008 .

[18]  C. G. Chiorean,et al.  A computer method for nonlinear inelastic analysis of 3D semi-rigid steel frameworks , 2009 .

[19]  F. Filippou,et al.  Mixed formulation of nonlinear beam finite element , 1996 .

[20]  Christopher M. Foley,et al.  Advanced Analysis of Steel Frames Using Parallel Processing and Vectorization , 2001 .

[21]  John F. Abel,et al.  Yield surface applications in nonlinear steel frame analysis , 1982 .

[22]  Gregory G. Deierlein,et al.  Nonlinear analysis of three-dimensional steel frames with semi-rigid connections , 1991 .

[23]  Eric M. Lui,et al.  Structural Stability: Theory and Implementation , 1987 .