Structural safety of pultruded FRP profiles for global buckling. Part 2: Reliability-based evaluation of safety formats and partial factor calibration

Abstract This two-part paper presents a study about the structural safety of pultruded fibre-reinforced polymer (FRP) profiles with respect to global buckling phenomena, which often govern their ultimate limit states design: flexural buckling, flexural-torsional buckling and lateral-torsional buckling. The first part [1] presented the resistance models for those buckling mechanisms, the probability models for model uncertainties of resistance, and a preliminary set of partial factors related to the model uncertainty, all consistent with the Eurocodes. Aiming at validating the resistance format proposed and that set of partial factors, this second part presents explicit reliability analyses of pultruded FRP profiles designed for the different global buckling failure mechanisms, so that the design equations proposed comply with the target reliability index recommended in EN 1990 for common structural elements. The reliability-based calibration followed similar methodology of documents that assessed the reliability of design with the Eurocodes, including the stochastic modelling of loads and geometry. Partial factor calibration was made through iterative reliability analyses on representative structural elements defined from the proposed design equations. This calibration process allowed defining (i) recommendations for partial factor γ Rd and (ii) the representative material property used to define γ m for each buckling mechanism. The final part of the paper includes recommendations for future research, towards the validation of assumptions made in this study and the standardization of FRP materials.

[1]  Agnieszka Bigaj-van Vliet,et al.  Reliability in the performance‐based concept of fib Model Code 2010 , 2013 .

[2]  Bruce R. Ellingwood,et al.  Toward Load and Resistance Factor Design for Fiber-Reinforced Polymer Composite Structures , 2003 .

[3]  Sher Ali Mirza,et al.  Variations in Dimensions of Reinforced Concrete Members , 1979 .

[4]  Jochen Köhler,et al.  Application of European design principles to cross laminated timber , 2018, Engineering Structures.

[5]  Johan V. Retief,et al.  Partial factors for selected reinforced concrete members: Background to a revision of SANS 10100-1 , 2010 .

[6]  Robby Caspeele,et al.  Influence of quality control of concrete on structural reliability: assessment using a Bayesian approach , 2014 .

[7]  Theodore V. Galambos,et al.  Probability-based criteria for structural design , 1982 .

[8]  A.C.W.M. Vrouwenvelder Developments towards full probabilistic design codes , 2002 .

[9]  Robby Caspeele,et al.  Influence of concrete strength estimation on the structural safety assessment of existing structures , 2014 .

[10]  John Dalsgaard Sørensen,et al.  Fatigue Reliability and Calibration of Fatigue Design Factors for Offshore Wind Turbines , 2012 .

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

[12]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[13]  Zdeněk Kala Global sensitivity analysis in stability problems of steel frame structures , 2016 .

[14]  Lawrence C. Bank,et al.  LRFD factors for pultruded wide-flange columns , 2010 .

[15]  Zdeněk Kala,et al.  Material and geometrical characteristics of structural steels based on statistical analysis of metallurgical products , 2009 .

[16]  R. Bennett,et al.  Statistical Characterization of Fiber-Reinforced Polymer Composite Material Properties for Structural Design , 2006 .

[17]  Stephen J. Foster,et al.  Calibration of Australian Standard AS3600 concrete structures part II: reliability indices and changes to capacity reduction factors , 2016 .

[18]  Abdul-Hamid Zureick,et al.  BEHAVIOR AND DESIGN OF CONCENTRICALLY LOADED PULTRUDED ANGLE STRUTS , 2000 .

[19]  S. Hadigheh,et al.  Probabilistic-based characterisation of the mechanical properties of CFRP laminates , 2018 .

[20]  S. Sriramula,et al.  Quantification of uncertainty modelling in stochastic analysis of FRP composites , 2009 .