Safety Analysis of the Patch Load Resistance of Plate Girders: Influence of Model Error and Variability

Document Type: Research Papers

Authors

1 Academic staff

2 academic staff

Abstract

This study aims to undertake a statistical study to evaluate the accuracy of nine models that have been previously proposed for estimating the ultimate resistance of plate girders subjected to patch loading. For each model, mean errors and standard errors, as well as the probability of underestimating or overestimating patch load resistance, are estimated and the resultant values are compared one to another. Prior to that, the models are initially calibrated in order to improve interaction formulae using an experimental data set collected from the literature. The models are then analyzed by computing design factors associated with a target risk level (probability of exceedance). These models are compared one to another considering uncertainties existed in material and geometrical properties. The Monte Carlo simulation method is used to generate random variables. The statistical parameters of the calibrated models are calculated for various coefficients of variations regardless of their correlation with the random resistance variables. These probabilistic results are very useful for evaluating the stochastic sensitivity of the calibrated models.

 

Keywords


Chacón, R., Bock, M. and Real, E. (2011). "Longitudinally stiffened hybrid steel plate girders subjected to patch loading", Journal of Constructional Steel Research, 67(9), 1310-1324.

Chacón, R., Mirambell, E. and Real, E. (2010). "Hybrid steel plate girders subjected to patch loading, part 1: numerical study", Journal of Constructional Steel Research, 66(5), 695-708.

Chacón, R., Mirambell, E. and Real, E. (2013). "Transversally stiffened plate girders subjected to patch loading. part 1. preliminary study", Journal of Constructional Steel Research, 80, 483-491.

Chaves, I.A., Beck, A.T. and Malite, M. (2010). "Reliability-based evaluation of design guidelines for cold-formed steel-concrete composite beams", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 32, 442-449.

Davaine, L. and Aribert, J. (2005). "Launching of steel girder bridge - patch load resistance of longitudinally stiffened webs", Proceedings of 4th European Conference on Steel and Composite Structures, Maastricht, The Netherlands, June 8-10.

Der Kiureghian, A. And  Ditlevsen, O. (2009). "Aleatory or epistemic? does it matter?", Structural Safety, 31(2), 105-117.

Graciano, C. and Casanova, E. (2005). "Ultimate strength of longitudinally stiffened i-girder webs subjected to combined patch loading and bending", Journal of Constructional Steel Research, 61(1), 93-111.

Gracino, C., Casanova, E. and Martinez, J. (2011). "Imperfection sensitivity of plate girder webs subjected to patch loading", Journal of Constructional Steel Research, 67(7), 1128-1133.

Graciano, C. and Johansson, B. (2003). "Resistance of longitudinally stiffened i-girders subjected to to concentrated loads", Journal of Constructional Steel Research, 59(5), 561-586.

JCSS. (2001-2). Probabilistic Model Code. Part 3: Resistance Models, Structural Steel, 3.02, http://www.jcss.byg.dtu.dk/Publications/Probabilistic_Model_Code.

Kala, Z. (2005). "Sensitivity analysis of the stability problems of thin-walled structures", Journal of Constructional Steel Research, 61(3), 415-422.

Kala, Z. and Kala, J. (2010). "Resistance of thin-walled plate girders under combines bending and shear", WSEAS Transactions on Applied and Theoretical Mechanics, 4(5), 242-252.

Kuhlmann, U., Mirambell, E., Chacón, R. and Braun, B. (2012). "Statistical evaluation of the new resistance model for steel plate girders subjected to patch loading", Steel Construction Steel Construction, 5(1), 10-15.

Kutmanova, I. and Skaloud, M. (1992). "Ultimate limit state of slender steel webs subject to (i) constant an (ii) repeated partial edge loading", Journal of Constructional Steel Research, 21(1-3), 147-162.

Lagerqvist, O. and Johansson, B. (1996). "Resistance of i-girders to concentrated loads", Journal of Constructional Steel Research, 39(2), 87-119.

Liu, H. And Chen, W. (2004). "Probabilistic sensitivity analysis methods for design under uncertainty", 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, New York, 30-31Aug, 1-4.

Markovic, N. and Hajdin, N. (1992). "A contribution to the analysis of the behavior of plate girders subjected to patch loading", Journal of Constructional Steel Research, 21(1-3), 163-173.

McCabe, M.F., Franks, S.W. and Kalma, J.D. (2005). "Calibration of a land surface model using multiple data sets", Journal of Hydrology, 302(1-4), 209-222.

Paola, M.D. (2004). "Probabilistic analysis of truss structures with uncertain parameters (virtual distortion method approach)", Probabilistic Engineering Mechanics, 19(4), 321-329.

Radlinska, A., Pease, B. and Weiss, J. (2007). "A preliminary numerical investigation on the influence of material variability in the early-age cracking behavior of restrained concrete", Materials and Structures, 40(4), 375–386.

Rattanapitikon, W. (2007). "Calibration and modification of energy dissipation models for irregular wave breaking", Ocean Engineering, 34(11), 1592-1601.

Roberts, T.M. and Newark, A.C.B. (1997). "Strength of webs subjected to compressive edge loading", Journal of Structural Engineering, 123(2), 176-183.

Roberts, T.M. and Rockey, K.C. (1979). "A mechanism solution for predicting the collapse loads of slender plate girders when subjected to in-plane loading", Proceedings of the Institution of Civil Engineers, 2(67), 155-175.

Roberts, T.M. and Shahabian, F. (2000). "Ultimate resistance of slender web panels to combined bending shear and patch loading", Journal of Constructional Steel Research, 57(7), 779-790.