Technical Papers
Jul 19, 2018

Calibrating Pedestrian-Bridge Standards for Vibration Serviceability

Publication: Journal of Bridge Engineering
Volume 23, Issue 10

Abstract

Ensuring serviceability is central to the design of pedestrian bridges (PBs); hence, their design is often governed by the serviceability limit state (SLS) under pedestrian loads. A reliability-based evaluation of various design codes and standards (collectively called guidelines), namely, ISO 10137, Eurocode 5, the British National Annex, and SÉTRA, has demonstrated a need to calibrate these guidelines for a higher reliability level to achieve a sufficient and uniform reliability index across different PBs for both the design and rare traffic loading events. This paper discusses the process and the results of calibration of these SLS design provisions for PBs. To achieve sufficiency for both design and rare events, an iterative process is introduced to estimate the desired reliability index. To achieve economic designs after the calibration process, comfort limits depending on both the frequency of traffic and the bridge class based on their routes, uses, and locations are applied during the estimation of desired reliability index and the corresponding design partial factors. This study is limited to truss-type metal PBs. A general observation from the calibration results is that the partial factors for a given reliability index are consistent across different bridge classes and guidelines, as a result of the approach adopted in this exercise. It is possible to achieve a sufficient and uniform reliability index across all bridge classes under both design and rare loading events while ensuring economic designs using frequency and class-based comfort limits. Although the desired reliability index is the same for all of the guidelines for sufficiency during the design loading event, there is significant inconsistency observed for the rare loading events. To achieve the same desired reliability index (i.e., uniformity) across guidelines, it is recommended to calibrate using the maximum desired reliability index estimated across all the guidelines for a particular event. The estimated desired reliability indices and the partial factors are sensitive to the coefficient of variation (COV) of the acceleration limit used for the SLS check.

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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

AISC. 2005. Specification for structural steel buildings. ANSI/AISC 360-2005. Chicago: AISC.
Bashor, R., T. Kijewski-Correa, and A. Kareem. 2005. “On the wind-induced response of tall buildings: The effect of uncertainties in dynamic properties and human comfort thresholds.” In Vol. 31 of Proc., 10th Americas Conf. on Wind Engineering. Fort Collins, CO: American Association for Wind Engineering.
BSI (British Standards Institution). 2003. UK National Annex to Eurocode 1. Actions on structures. Traffic loads on bridges. BS NA EN 1991-2. London: British Standards Institution.
CEC (Commission of European Communities). 1984. Common unified rules for steel structures. Eurocode 3. Brussels, Belgium: CEC.
CEN (European Committee of Standardization). 2001. Basis of structural Eurocodes. Eurocode 0. EN 1990. Brussels Belgium: CEN.
CEN (European Committee of Standardization). 2004. Design of timber structures—Part 2: Bridges. Eurocode 5. EN 1995-2. Brussels Belgium: CEN.
CSA (Canadian Standards Association). 2011. Canadian highway bridge design code. CAN/CSA S6. Toronto: CSA.
Dallard, P., T. Fitzpatrick, A. Flint, A. Low, R. Smith, M. Willford, and M. Roche. 2001. “London Millennium Bridge: Pedestrian-induced lateral vibration.” J. Bridge Eng. 6 (6): 412–417. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(412).
Dey, P., S. Narasimhan, and S. Walbridge. 2017. “Evaluation of design guidelines for the serviceability assessment of aluminum pedestrian bridges.” J. Bridge Eng. 22 (1): 04016109. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000983.
Dey, P., S. Walbridge, and S. Narasimhan. 2018. “Evaluation of design provisions for pedestrian bridges using a structural reliability framework.” J. Bridge Eng. 23 (2): 04017132. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001179.
Ellingwood, B., and T. V. Galambos. 1982. “Probability-based criteria for structural design.” Struct. Saf. 1 (1): 15–26. https://doi.org/10.1016/0167-4730(82)90012-1.
Gulvanessian, H., and M. Holickỳ. 2002. “Reliability based calibration of Eurocodes considering a steel member.” In Proc., JCSS Workshop on Reliability Based Calibration. Switzerland: Swiss Federal Institute of Technology, ETH Zurich.
Hasofer, A., and N. Lind. 1974. “Exact and invariant second-moment code format (for reliability analysis in multivariate problems).” 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 JRC53442. Accessed September 2012. http://publications.jrc.ec.europa.eu/repository/handle/JRC53442.
Honfi, D., A. Mårtensson, and S. Thelandersson. 2012. “Reliability of beams according to Eurocodes in serviceability limit state.” Eng. Struct. 35 (Feb): 48–54. https://doi.org/10.1016/j.engstruct.2011.11.003.
ISO. 1998. General principles on reliability for structures. ISO 2394. Geneva: ISO.
ISO. 2007. Bases for design of structures–serviceability of buildings and walkways against vibrations. ISO 10137. Geneva: ISO.
Nowak, A. S., and K. R. Collins. 2012. Reliability of structures. Boca Raton, FL: CRC Press.
Nowak, A. S., and H. N. Grouni. 1994. “Calibration of the Ontario highway bridge design code 1991 edition.” Can. J. Civ. Eng. 21 (1): 25–35. https://doi.org/10.1139/l94-003.
Ontario Ministry of Transportation. 1991. Ontario highway bridge design code. 3rd ed. Downsview, ON, Canada: Ontario Ministry of Transportation.
Pedersen, L., and C. Frier. 2010. “Sensitivity of footbridge vibrations to stochastic walking parameters.” J. Sound Vib. 329 (13): 2683–2701. https://doi.org/10.1016/j.jsv.2009.12.022.
Portier, K. K. T. J., and S. M. Roberts. 2007. “Body weight distributions for risk assessment.” Risk Anal. 27 (1): 11–26. https://doi.org/10.1111/j.1539-6924.2006.00856.x.
Quan, Q., and Z. Gengwei. 2002. “Calibration of reliability index of RC beams for serviceability limit state of maximum crack width.” Reliab. Eng. Syst. Saf. 75 (3): 359–366. https://doi.org/10.1016/S0951-8320(01)00133-8.
Rackwitz, R., and B. Flessler. 1978. “Structural reliability under combined random load sequences.” Comput. Struct. 9 (5): 489–494. https://doi.org/10.1016/0045-7949(78)90046-9.
SÉTRA (Service d’Études techniques des routes et autoroutes). 2006. Assessment of vibrational behaviour of footbridges under pedestrian loading. Technical guide. Paris: SÉTRA.
Stewart, M. G. 1996. “Optimization of serviceability load combinations for structural steel beam design.” Struct. Saf. 18 (2): 225–238. https://doi.org/10.1016/0167-4730(96)00012-4.
Vrouwenvelder, A. C. W. M., and A. J. M. Siemes. 1987. “Probabilistic calibration procedure for the derivation of partial safety factors for the Netherlands building codes.” HERON 32 (4): 1987.
Willford, M. R., and P. M. Young. 2006. A design guide for footfall induced vibration of structures. Surrey, UK: Concrete Society.
Živanović, S. 2006. “Probability-based estimation of vibration for pedestrian structures due to walking.” Ph.D. thesis, Univ. of Sheffield.

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Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 23Issue 10October 2018

History

Received: Oct 3, 2017
Accepted: Mar 8, 2018
Published online: Jul 19, 2018
Published in print: Oct 1, 2018
Discussion open until: Dec 19, 2018

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Authors

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P. Dey, Aff.M.ASCE [email protected]
Postdoctoral Fellow, Dept. of Civil & Environmental Engineering, Univ. of Waterloo, Waterloo N2L 3G1, Canada (corresponding author). Email: [email protected]
S. Narasimhan, M.ASCE
Associate Professor, Dept. of Civil & Environmental Engineering, Univ. of Waterloo, Waterloo N2L 3G1, Canada.
S. Walbridge, M.ASCE
Associate Professor, Dept. of Civil & Environmental Engineering, Univ. of Waterloo, Waterloo N2L 3G1, Canada.

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