Displacement-Based Approach for the Assessment of Overturning Stability of Rectangular Rigid Barriers Subjected to Point Impact
Publication: Journal of Engineering Mechanics
Volume 144, Issue 2
Abstract
In this paper, a new design approach based on the principles of energy and momentum conservation is proposed for the design of free-standing rigid barriers subject to point impact. The novelty of this approach lies in the fact that the mass inertia effect of the barriers and the coefficient of restitution for the impact are considered. With the new design approach, it is shown that for the same impact scenario, a taller barrier actually has a higher factor of safety due to the increased mass inertia—a result that could not have been obtained in a force-based calculation. The new approach has been verified by results from systematic physical and simulated impact experimentation. This paper presents full details of the derivation of the analytical expressions, their experimental verification, and illustration by a worked example. A design chart is also presented to make the proposed methodology easier to implement.
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Acknowledgments
Financial support from the Australian Research Council (ARC) Discovery Project DP170101858 entitled “New Approach for Design of Barriers For Impact” is gratefully acknowledged. The fourth author is grateful for financial support from the theme-based research grant T22-603/15-N provided by the Research Grants Council of the Government of Hong Kong Special Administrative Region, China. This paper is published with the permission of the Head of the Geotechnical Engineering Office and the Director of Civil Engineering and Development, Hong Kong SAR Government.
References
AASHTO. (2012). AASHTO LRFD bridge design specifications, 6th Ed. Washington, DC.
Ali, M., Sun, J., Lam, N., Zhang, L., and Gad, E. (2014). “Simple hand calculation method for estimating deflection generated by the low velocity impact of a solid object.” Aust. J. Struct. Eng., 15(3), 243–259.
ASTRA (Bundesamt für Strassen). (2008). “Einwirkungen infolge Steinschlags auf Schutzgalerien.” Richtlinie, Bundesamt für Strassen, Baudirektion SBB, Eidgenössische Drucksachen-und Materialzentrale, Bern, Switzerland (in German).
Austroads. (2013). “Standardised bridge barrier design.” AP-R445-13, Sydney, NSW, Australia.
Bala, S., and Day, J. (2006). “General guidelines for crash analysis in LS-DYNA.” Livermore Software Technology Corporation (LSTC), Livermore, CA.
BSI (British Standards Institution). (2008). “Actions on structures. 1-7: General actions: Accidental actions.” EN 1991-1-7, Eurocode 1, London.
Bugnion, L., and Wendeler, C. (2010). “Shallow landslide full-scale experiments in combination with testing of a flexible barrier.” WIT Trans. Eng. Sci., 67, 161–173.
Choi, K. Y., and Cheung, R. W. M. (2013). “Landslide disaster prevention and mitigation through works in Hong Kong.” J. Rock Mech. Geotech. Eng., 5(5), 354–365.
Duffy, J., and Peila, A. (1998). “Case studies on debris and mudslide barrier systems in California.” Proc., One Day Seminar on Planning, Design and Implementation of Debris Flow and Rockfall Hazards Mitigation Measures, Association of Geotechnical Specialists Ltd., Hong Kong Institute of Engineers, Hong Kong.
Eibl, J., Ammann, W., Barr, P., Perry, S. H., and Reinhardt, H. W. (1988). “Concrete structures under impact and impulsive loading.”, Bulletin d’Information, Comite Euro-International du Beton, Lausanne, Switzerland.
EOTA (European Organisation for Technical Approvals). (2013). “Guideline for European technical approval of falling rock protection kits.” ETAG 027, Brussels, Belgium.
Escallón, J. P., Wendeler, C., Chatzi, E., and Bartelt, P. (2014). “Parameter identification of rockfall protection barrier components through an inverse formulation.” Eng. Struct., 77, 1–16.
Hallquist, J. O. (2006). LS-DYNA theory manual, Livermore Software Technology Corporation (LSTC), Livermore, CA.
Heidenreich, B. (2004). “Small-and half-scale experimental studies of rockfall impacts on sandy slopes.” Technische Universität Darmstadt, Darmstadt, Germany.
Ho, K. K. S., Cheung, R. W. M., and Wong, C. Y. S. (2016). “Managing landslide risk systematically using engineering works.” Proc. Inst. Civ. Eng. Civ. Eng., 169(6), 25–34.
Hummeltenberg, A., Beckmann, B., Weber, T., and Curbach, M. (2011). “Investigation of concrete slabs under impact load.” Appl. Mech. Mater., 82, 398–403.
Japan Road Association. (2000). “Manual for anti-impact structures against falling rock.” Tokyo (in Japanese).
Jiang, T., Grzebieta, R. H., and Zhao, X.-L. (2004). “Predicting impact loads of a car crashing into a concrete roadside safety barrier.” Int. J. Crashworthiness, 9(1), 45–63.
Kim, K.-M., Briaud, J.-L., Bligh, R., and Abu-Odeh, A. (2009). “Full-scale impact test of four traffic barriers on top of an instrumented MSE wall.” J. Geotech. Geoenviron. Eng., 431–438.
Kim, K.-M., Briaud, J.-L., Bligh, R., and Abu-Odeh, A. (2011). “Design guidelines and full-scale verification for MSE walls with traffic barriers.” J. Geotech. Geoenviron. Eng., 690–699.
Kishi, N., and Mikami, H. (2012). “Empirical formulas for designing reinforced concrete beams under impact loading.” ACI Struct. J., 109(4), 509–519.
Koo, R. C. H., et al. (2017). “Dynamic response of flexible rockfall barriers under different loading geometries.” Landslides, 14(3), 905–916.
Kwan, J. S. H. (2012). “Supplementary technical guidance on design of rigid debris-resisting barriers.”, Geotechnical Engineering Office, Government of the Hong Kong Special Administrative Region, Hong Kong.
Kwan, J. S. H., Chan, S. L., Cheuk, J. C. Y., and Koo, R. C. H. (2014). “A case study on an open hillside landslide impacting on a flexible rockfall barrier at Jordan Valley, Hong Kong.” Landslides, 11(6), 1037–1050.
Lam, N. T. K., Wilson, J. L., and Hutchinson, G. L. (1995). “The seismic resistance of unreinforced masonry cantilever walls in low seismicity areas.” Bull. New Zealand Natl. Soc. Earthquake Eng., 28(3), 179–195.
LS-DYNA [Computer software]. Livermore Software Technology Corporation, Livermore, CA.
Mavrouli, O., and Corominas, J. (2010). “Vulnerability of simple reinforced concrete buildings to damage by rockfalls.” Landslides, 7(2), 169–180.
Mougin, J. P., Perrotin, P., Mommessin, M., Tonnelo, J., and Agbossou, A. (2005). “Rock fall impact on reinforced concrete slab: An experimental approach.” Int. J. Impact Eng., 31(2), 169–183.
Musa, A. (2015). “Evaluation of concrete barrier as rockfall protection.” Ph.D. dissertation Univ. of Akron, Akron, OH.
Ng, C. W. W., Choi, C. E., Su, A. Y., Kwan, J. S. H., and Lam, C. (2016). “Large-scale successive boulder impacts on a rigid barrier shielded by gabions.” Can. Geotech. J., 53(10), 1688–1699.
O’Connor, C., and Shaw, P. (2002). Bridge loads: An international perspective, CRC Press, Boca Raton, FL.
Peila, D., Pelizza, S., and Sassudelli, F. (1998). “Evaluation of behaviour of rockfall restraining nets by full scale tests.” Rock Mech. Rock Eng., 31(1), 1–24.
Perera, S., Lam, N., Pathirana, M., Zhang, L., Ruan, D., and Gad, E. (2016). “Deterministic solutions for contact force generated by impact of windborne debris.” Int. J. Impact Eng., 91, 126–141.
Preston, B. L., and Jones, R. N. (2006). “Climate change impacts on Australia and the benefits of early action to reduce global greenhouse gas emissions.” CSIRO, Canberra, Australia.
Salbego, G., Floris, M., Busnardo, E., Toaldo, M., and Genevois, R. (2015). “Detailed and large-scale cost/benefit analyses of landslide prevention vs. post-event actions.” Nat. Hazards Earth Syst. Sci., 15(11), 2461–2472.
Standards Australia. (2004). “Bridge design. Part 2: Design loads.” AS 5100.2, Sydney, NSW, Australia.
Sun, J., Lam, N., Zhang, L., Ruan, D., and Gad, E. (2015). “Contact forces generated by hailstone impact.” Int. J. Impact Eng., 84, 145–158.
Sun, J., Lam, N., Zhang, L., Ruan, D., and Gad, E. (2016). “Computer simulation of contact forces generated by impact.” Int. J. Struct. Stab. Dyn., 17(1), 1750005.
Ulker, M. B. C., Rahman, M. S., Zhen, R., and Mirmiran, A. (2008). “Traffic barriers under vehicular impact: From computer simulation to design guidelines.” Comput.-Aided Civ. Infrastruct. Eng., 23(6), 465–480.
U.S. DOE (U.S. Department of Energy). (2006). “Accident analysis for aircraft crash into hazardous facilities.”, Washington, DC.
Volkwein, A., Roth, A., Gerber, W., and Vogel, A. (2009). “Flexible rockfall barriers subjected to extreme loads.” Struct. Eng. Int., 19(3), 327–332.
Wu, M., Chen, Z., and Zhang, C. (2015). “Determining the impact behavior of concrete beams through experimental testing and meso-scale simulation. I: Drop-weight tests.” Eng. Fract. Mech., 135, 94–112.
Yang, Y., Lam, N. T. K., and Zhang, L. (2012). “Evaluation of simplified methods of estimating beam responses to impact.” Int. J. Struct. Stab. Dyn., 12(3), 1250016.
Zineddin, M., and Krauthammer, T. (2007). “Dynamic response and behavior of reinforced concrete slabs under impact loading.” Int. J. Impact Eng., 34(9), 1517–1534.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 144 • Issue 2 • February 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Feb 10, 2017
Accepted: Jun 28, 2017
Published online: Nov 24, 2017
Published in print: Feb 1, 2018
Discussion open until: Apr 24, 2018
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