Technical Papers
Nov 29, 2017

Evaluation of Design Provisions for Pedestrian Bridges Using a Structural Reliability Framework

Publication: Journal of Bridge Engineering
Volume 23, Issue 2

Abstract

The design of pedestrian bridges (PBs) is typically governed by the serviceability limit state under human-induced excitation. A comprehensive evaluation of the reliability level achieved in designing for this limit state has not yet been reported. This paper attempts to address this gap for metal structures through a comprehensive structural reliability-based evaluation of design guidelines currently used in North America and Europe. An advanced first-order second-moment (AFOSM) method is used to determine reliability levels under different loading scenarios considering uncertainties in the pedestrian-induced walking loads, structural properties, and comfort limits. The results show that the guidelines do not achieve sufficiency under the design traffic. Moreover, suburban or urban PBs with frequently occurring design traffic densities of 0.2–0.8 pedestrians per square meter achieve very low reliability levels under infrequent traffic densities. Significant disagreement in the reliability levels obtained by the different guidelines is observed. Based on this evaluation, it is proposed that current design provisions be calibrated to a higher reliability index under design crowd densities and that traffic-dependent comfort limits be adopted. The reliability level achieved by incorporating a model error term, previously proposed by the authors to better align model predictions with observations, is also evaluated. The key results from this evaluation show that the uncertainty in the model error term has a positive impact on the reliability estimates; thus, this term can be regarded as deterministic.

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Acknowledgments

The authors would like to acknowledge the funding provided to perform this work by the MAADI Group and the Natural Sciences Engineering Research Council of Canada, through their collaborative research and development grants (CRD) program.

References

Adeli, H. (2016). Historic bridges: Evaluation, preservation, and management, CRC Press, Boca Raton, FL.
AIJ (Architectural Institute of Japan). (2004). “Guidelines for the evaluation of habitability to building vibration.” AIJES-V001, Tokyo.
AISC. (2005). “Specification for structural steel buildings.” ANSI/AISC 360-05, Chicago.
Bashor, R., Kijewski-Correa, T., and Kareem, A. (2005). “On the wind-induced response of tall buildings: The effect of uncertainties in dynamic properties and human comfort thresholds.” Proc., 10th Americas Conf. on Wind Engineering, American Association for Wind Engineering, Fort Collins, CO, Vol. 31.
Beck, A. T., and de Souza, A. C., Jr. (2010). “A first attempt towards reliability-based calibration of Brazilian structural design codes.” J. Braz. Soc. Mech. Sci. Eng., 32(2), 119–127.
Breitung, K. (1984). “Asymptotic approximations for multinormal integrals.” J. Eng. Mech., 357–366.
Brownjohn, J. M. W., Pavic, A., and Omenzetter, P. (2004). “A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking.” Can. J. Civ. Eng., 31(1), 65–77.
BSI (British Standards Institute). (2003). “UK National Annex to Eurocode 1. Actions on structures. Traffic loads on bridges.” BS NA EN 1991-2, British Standards, London.
Butz, C., et al. (2007). “Advanced load models for synchronous pedestrian excitation and optimised design guidelines for steel footbridges-SYNPEX).” Project RFS-CR-03019, Final Rep., Office for Official Publications of the European Communities, Luxembourg.
CEN (European Committee of Standardization). (2001). “Basis of structural Eurocodes.” Eurocode 0, EN 1990, Brussels Belgium.
CEN (European Committee of Standardization). (2004). “Design of timber structures, Part 2: Bridges.” Eurocode 5, EN 1995-2, Brussels Belgium.
Chen, P., and Robertson, L. (1972). “Human perception thresholds of horizontal motion.” J. Struct. Div., 98(ST8), 1681–1695.
Cornell, C. A. (1969). “A probability-based structural code.” ACI J., 66(12), 974–985.
Cornell University. (2005). “Explaining why the millennium bridge wobbled.” ⟨https://www.sciencedaily.com/releases/2005/11/051103080801.htm⟩ (Nov. 3, 2005).
CSA (Canadian Standards Association). (2011). “Canadian highway bridge design code.” CAN/CSA S6, Rexdale, ON, Canada.
Cunha, A., Caetano, E., Moutinho, C., and Magalhães, F. (2005). “Damping identification in a stress-ribbon footbridge.” Proc., 6th Int. Conf. Structural Dynamics, EURODYN 2005, Vol. 1, IOS Press, Amsterdam, Netherlands, 243–248.
Curbed New York. (2016). “Squibb park bridge will cost $3.12m to fix once and for all.” ⟨http://ny.curbed.com/2016/10/7/13201020/squibb-park-bridge-brooklyn-construction-cost⟩ (Oct. 7, 2016).
Dallard, P., et al. (2001a). “London millennium bridge: Pedestrian-induced lateral vibration.” J. Bridge Eng., 412–417.
Dallard, P., et al. (2001b). “The London Millennium Footbridge.” Struct. Eng., 79(22), 17–33.
Dey, P., Narasimhan, S., and Walbridge, S. (2017). “Evaluation of design guidelines for the serviceability assessment of aluminum pedestrian bridges.” J. Bridge Eng., 04016109.
Galbraith, F. W., and Barton, M. V. (1970). “Ground loading from footsteps.” J. Acoust. Soc. Am., 48(5B), 1288–1292.
Gulvanessian, H., and Holicky´, M. (2002). “Reliability based calibration of Eurocodes considering a steel member.” JCSS Workshop on Reliability Based Calibration, Swiss Federal Institute of Technology, ETH Zurich, Switzerland.
Hansen, R. J., Reed, J. W., and Vanmarcke, E. H. (1973). “Human response to wind-induced motion of buildings.” J. Struct. Div., 99(7), 1589–1605.
Hasofer, A. M., and Lind, N. C. (1974). “Exact and invariant second-moment code format.” J. Eng. Mech. Div., 100(1), 111–121.
Heinemeyer, C., et al. (2009). “Design of lightweight footbridges for human induced vibrations.” EUR—Scientific and Technical Research Reports, European Commission, ⟨http://publications.jrc.ec.europa.eu/repository/handle/JRC53442⟩.
Honfi, D., Mårtensson, A., and Thelandersson, S. (2012). “Reliability of beams according to Eurocodes in serviceability limit state.” Eng. Struct., 35(Feb), 48–54.
Irwin, A. (1975). “Human reactions to oscillations of buildings-acceptable limits.” Build Int., 8(2), 89–102.
ISO. (1998). “General principles on reliability for structures.” ISO 2394, Geneva.
ISO. (2007). “Bases for design of structures–Serviceability of buildings and walkways against vibrations.” ISO 10137, Geneva.
Kanda, J., Tamura, Y., and Fujii, K. (1988). “Probabilistic criteria for human perception of low-frequency horizontal motions.” Proc., Symp./Workshop on Serviceability of Buildings, National Research Council, Ottawa, ON, Canada, 260–269.
Kerr, S. C. (1998). “Human induced loading on staircases.” Ph.D. thesis, Univ. of London, London.
Nowak, A. (1995). “Calibration of LRFD bridge code.” J. Struct. Eng., 1245–1251.
Nowak, A. S., and Collins, K. R. (2012). Reliability of structures, CRC Press, Boca Raton, FL.
Pedersen, L., and Frier, C. (2010). “Sensitivity of footbridge vibrations to stochastic walking parameters.” J. Sound Vib., 329(13), 2683–2701.
Portier, K., Tolson, J. K., and Roberts, S. M. (2007). “Body weight distributions for risk assessment.” Risk Anal., 27(1), 11–26.
Quan, Q., and Gengwei, Z. (2002). “Calibration of reliability index of RC beams for serviceability limit state of maximum crack width.” Reliab. Eng. Syst. Saf., 75(3), 359–366.
Racic, V., and Brownjohn, J. M. W. (2011). “Stochastic model of near-periodic vertical loads due to humans walking.” Adv. Eng. Inf., 25(2), 259–275.
Rackwitz, R., and Flessler, B. (1978). “Structural reliability under combined random load sequences.” Comput. Struct., 9(5), 489–494.
Reynders, E., Maes, K., Lombaert, G., and De Roeck, G. (2016). “Uncertainty quantification in operational modal analysis with stochastic subspace identification: Validation and applications.” Mech. Syst. Sig. Process., 66–67(Jan), 13–30.
SÉTRA. (2006). “Footbridges: Assessment of vibrational behaviour of footbridges under pedestrian loading.” Technical guide SÉTRA, Service d’Etudes Techniques des Routes et Autoroutes, Paris.
Stewart, M. G. (1996). “Optimization of serviceability load combinations for structural steel beam design.” Struct. Saf., 18(2–3), 225–238.
Vrouwenvelder, A. C. W. M., and Siemes, A. J. M. (1987). “Probabilistic calibration procedure for the derivation of partial safety factors for the Netherlands building codes.” HERON, 32(4).
Willford, M. R., Young, P., and CEng, M. (2006). A design guide for footfall induced vibration of structures, Concrete Society, London.
Živanović, S., and Pavic, A. (2009). “Probabilistic assessment of human response to footbridge vibration.” J. Low Freq. Noise Vib. Act. Control, 28(4), 255–268.
Živanović, S., Pavic, A. and Reynolds, P. (2007). “Probability based estimation of footbridge vibration due to walking.” Proc., 25th International Modal Analysis Conf. (IMAC XXV), Society for Experimental Mechanics (SEM), Bethel, CT, 19–22.

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Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 23Issue 2February 2018

History

Received: Jan 2, 2017
Accepted: Aug 7, 2017
Published online: Nov 29, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 29, 2018

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Authors

Affiliations

P. Dey, S.M.ASCE [email protected]
Ph.D. Candidate, Dept. of Civil & Environmental Engineering, Univ. of Waterloo, Waterloo N2L 3G1, Canada (corresponding author). E-mail: [email protected]
S. Walbridge, M.ASCE
Associate Professor, Dept. of Civil & Environmental Engineering, Univ. of Waterloo, Waterloo N2L 3G1, Canada.
S. Narasimhan, M.ASCE
Associate Professor, Dept. of Civil & Environmental Engineering, Univ. of Waterloo, Waterloo N2L 3G1, Canada.

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