Influence of boundary conditions and geometric imperfections on lateral–torsional buckling resistance of a pultruded FRP I-beam by FEA

Presented are results from geometric non-linear finite element analyses to examine the lateral torsional buckling (LTB) resistance of a Pultruded fibre reinforced polymer (FRP) I-beam when initial geometric imperfections associated with the LTB mode shape are introduced. A data reduction method is proposed to define the limiting buckling load and the method is used to present strength results for a range of beam slendernesses and geometric imperfections. Prior to reporting on these non-linear analyses, Eigenvalue FE analyses are used to establish the influence on resistance of changing load height or displacement boundary conditions. By comparing predictions for the beam with either FRP or steel elastic constants it is found that the former has a relatively larger effect on buckling strength with changes in load height and end warping fixity. The developed finite element modelling methodology will enable parametric studies to be performed for the development of closed form formulae that will be reliable for the design of FRP beams against LTB failure.

[1]  J. Toby Mottram,et al.  Using Finite Elements in Mechanical Design , 1996 .

[2]  David W. Scott,et al.  SHORT-TERM BEHAVIOR AND DESIGN OF FIBER-REINFORCED POLYMERIC SLENDER MEMBERS UNDER AXIAL COMPRESSION , 1997 .

[3]  Julio F. Davalos,et al.  Flexural-torsional buckling of fiber-reinforced plastic composite cantilever I-beams , 2003 .

[4]  Terence Martin Roberts INFLUENCE OF SHEAR DEFORMATION ON BUCKLING OF PULTRUDED FIBER REINFORCED PLASTIC PROFILES , 2002 .

[5]  Shape Influence in Buckling of GFRP Pultruded Columns , 2003 .

[6]  Nicholas S. Trahair,et al.  Flexural-Torsional Buckling of Structures , 1993 .

[7]  Fabio Minghini,et al.  Buckling analysis of FRP pultruded frames using locking-free finite elements , 2008 .

[8]  R. J. Brooks,et al.  Lateral buckling of pultruded GRP I-section cantilevers , 1995 .

[9]  Luigi Ascione,et al.  Lateral buckling of pultruded FRP beams , 2011 .

[10]  L. Bank Composites for Construction: Structural Design with FRP Materials , 2006 .

[11]  Johann Arbocz,et al.  Buckling experiments : experimental methods in buckling of thin-walled structures , 2000 .

[12]  A Lane,et al.  Influence of modal coupling on the buckling of concentrically loaded pultruded fibre-reinforced plastic columns , 2002 .

[13]  J. Mottram SHEAR MODULUS OF STANDARD PULTRUDED FIBER REINFORCED PLASTIC MATERIAL , 2004 .

[14]  E. Riks An incremental approach to the solution of snapping and buckling problems , 1979 .

[15]  E. Barbero,et al.  Material Characterization of Pultruded Laminates and Shapes , 1996 .

[16]  Geoffrey Turvey Effects of load position on the lateral buckling response of pultruded GRP cantilevers —Comparisons between theory and experiment , 1996 .

[17]  Pizhong Qiao,et al.  Flexural-torsional buckling of fiber-reinforced plastic composite open channel beams , 2005 .

[18]  J. T. Mottram,et al.  Physical testing for concentrically loaded columns of pultruded glass fibre reinforced plastic profile , 2003 .

[19]  G. Wempner Discrete approximations related to nonlinear theories of solids , 1971 .

[20]  Lawrence C. Bank,et al.  Shear Properties of Pultruded Glass FRP Materials , 1990 .

[21]  L. Azrar,et al.  Lateral post-buckling analysis of thin-walled open section beams , 2002 .

[22]  John S. Tomblin,et al.  Local buckling experiments on FRP columns , 1994 .

[23]  C. Shield,et al.  LATERAL-TORSIONAL BUCKLING OF COMPOSITE BEAMS , 1998 .

[24]  J. Toby Mottram Does Performance Based Design with Fibre Reinforced Polymer Components and Structures provide any new Benefits and Challenges , 2011 .

[25]  M. Crisfield A FAST INCREMENTAL/ITERATIVE SOLUTION PROCEDURE THAT HANDLES "SNAP-THROUGH" , 1981 .

[26]  J. Clarke Structural design of polymer composites : EUROCOMP design code and handbook , 1996 .

[27]  Francesco Benedettini,et al.  Buckling Experiments: Experimental Methods in Buckling of Thin–Walled Structures Vol. 1: Basic Concepts, Columns, Beams and Plates J. Singer, J. Arbocz and T. Weller John Wiley & Sons, Chichester , 1999 .

[28]  G. Turvey Torsion tests on pultruded GRP sheet , 1998 .

[29]  J. T. Mottram,et al.  Lateral-torsional buckling of a pultruded I-beam , 1992 .

[30]  H. N. Hill,et al.  Lateral Buckling of Beams , 1960 .

[31]  Richard E. Chambers ASCE Design Standard for Pultruded Fiber-Reinforced-Plastic (FRP) Structures , 1997 .

[32]  Víctor H. Cortínez,et al.  Lateral buckling of thin-walled composite bisymmetric beams with prebuckling and shear deformation , 2005 .

[33]  T. M. Roberts,et al.  Flexural and Torsional Properties of Pultruded Fiber Reinforced Plastic I-Profiles , 2002 .